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
[ 1797, 267, 1810, 1406, 596, 286, 3143, 811, 1085, 28666, 26964, 543, 8930, 940, 7366, 540, 2093, 596, 786, 2760, 581, 2111, 547, 2119, 267, 16474, 269, 1411, 666, 3274, 1433, 5658, 713, 1592, 543, 1832, 621, 13561, 585, 519, 1985, 942, 596, 1616, 930, 6667, 585, 1565, 705, 322, 563, 3383, 267, 950, 3450, 707, 4819, 519, 9904, 267, 1376, 1934, 609, 938, 4484, 570, 13492, 585, 20854, 543, 23021, 269, 1284, 4076, 2322, 1927, 513, 1187, 4015, 540, 1970, 3341, 4484, 2238, 865, 596, 1810, 1406, 723, 547, 269, 1656, 950, 596, 9096, 873, 267, 581, 2386, 547, 2638, 856, 938, 4484, 589, 267, 645, 267, 595, 267, 667, 267, 661, 267, 674, 267, 717, 267, 670, 267, 594, 267, 808, 267, 700, 267, 631, 267, 715, 267, 744, 267, 623, 267, 1627, 267, 681, 543, 590, 3817, 546, 2048, 8154, 22248, 1932, 563, 294, 582, 1022, 2706, 2241, 4484, 1565, 4388, 596, 8910, 899, 547, 2671, 286, 13555, 721, 593, 30312, 7711, 2675, 776, 332, 20207, 543, 1577, 721, 917, 563, 292, 6470, 14594, 570, 27207, 585, 25595, 6840, 543, 18014, 619, 454, 272, 269, 570, 568, 585, 519, 3529, 1107, 552, 1692, 454, 5591, 824, 11248, 593, 3618, 2729, 607, 1279, 607, 513, 3529, 269, 14205, 720, 256, 9894, 596, 917, 602, 596, 666, 3313, 519, 2085, 540, 513, 3529, 676, 3168, 693, 922, 14034, 286, 3004, 1441, 3529, 4966, 666, 849, 7747, 2825, 2242, 971, 607, 15027, 26706, 610, 4049, 26221, 269, 6258, 782, 827, 519, 4484, 570, 609, 713, 15813, 3529, 4739, 689, 552, 1692, 563, 273, 269, 570, 1772, 585, 26286, 1107, 11242, 585, 1453, 454, 307, 22061, 616, 5863, 7068, 269, 1358, 616, 519, 7887, 3552, 7314, 538, 519, 1158, 269, 1452, 2462, 7314, 9260, 606, 3328, 540, 476, 14596, 6550, 543, 741, 21217, 666, 581, 909, 547, 1614, 3952, 1279, 269, 1411, 666, 3362, 5431, 873, 676, 741, 2699, 11399, 1052, 1560, 543, 4158, 7299, 26145, 269, 6258, 811, 827, 27683, 543, 519, 4484, 570, 538, 713, 13167, 5850, 676, 8866, 11242, 593, 13334, 563, 274, 269, 4855, 519, 4484, 570, 1107, 634, 13465, 9267, 6350, 454, 25440, 3343, 543, 1265, 609, 634, 7327, 532, 9546, 6350, 538, 713, 4484, 570, 1565, 13334, 3381, 269, 1879, 596, 2461, 2944, 267, 1491, 930, 3819, 268, 518, 848, 12508, 543, 2259, 1603, 519, 4484, 570, 593, 9486, 543, 4837, 9885, 269, 1411, 3580, 2648, 602, 621, 568, 513, 1100, 1790, 10517, 267, 1970, 21057, 2534, 267, 543, 707, 3214, 786, 2648, 741, 1007, 9904, 7718, 2336, 275, 269, 1215, 547, 8571, 513, 25725, 1107, 3203, 585, 8866, 16735, 454, 23763, 547, 917, 606, 5863, 1249, 827, 16015, 256, 7790, 570, 4669, 956, 616, 519, 9510, 1895, 540, 20641, 538, 519, 1158, 267, 3362, 9396, 908, 15315, 267, 25438, 3796, 267, 543, 32613, 2209, 269, 769, 1249, 267, 891, 9159, 7068, 4266, 1394, 547, 519, 942, 540, 519, 17878, 267, 936, 476, 1220, 2929, 1296, 3516, 256, 6258, 875, 547, 2721, 513, 14854, 538, 519, 3381, 2630, 563, 276, 269, 1215, 547, 2721, 513, 570, 7304, 1410, 1107, 8571, 865, 20036, 454, 307, 10455, 2335, 28683, 556, 343, 1797, 968, 6362, 540, 519, 1119, 7949, 28499, 6100, 901, 9649, 16277, 850, 729, 3710, 585, 1291, 267, 7893, 476, 1428, 547, 476, 736, 3952, 7381, 267, 476, 2412, 3952, 1279, 267, 543, 20604, 476, 278, 269, 276, 9748, 269, 589, 18979, 23246, 267, 519, 570, 14482, 343, 1185, 5642, 2275, 337, 5241, 28287, 267, 4189, 909, 547, 476, 4335, 6550, 540, 5779, 538, 513, 11116, 269, 6258, 811, 827, 519, 4484, 570, 676, 5373, 513, 570, 14482, 343, 609, 8571, 1924, 595, 1393, 593, 13334, 563, 277, 269, 1215, 547, 16784, 513, 1957, 32482, 760, 1107, 4414, 23413, 3203, 454, 307, 592, 2354, 616, 4190, 5810, 1634, 585, 741, 6505, 4778, 543, 3592, 3501, 27101, 3337, 269, 1358, 723, 1614, 24968, 543, 1614, 694, 335, 1023, 267, 855, 519, 694, 335, 1023, 1413, 3592, 9838, 547, 519, 8768, 24968, 269, 1280, 713, 2601, 267, 32482, 2354, 2408, 547, 723, 3670, 24968, 267, 799, 3947, 873, 513, 2407, 543, 3337, 569, 5920, 269, 6258, 875, 547, 16784, 513, 20036, 1957, 32482, 760, 609, 4414, 23413, 3203, 2630, 563, 278, 269, 26286, 12470, 564, 2534, 1107, 8342, 2238, 585, 3214, 454, 763, 4174, 6244, 4806, 540, 513, 20259, 568, 2189, 267, 1454, 899, 513, 1480, 31937, 269, 634, 26145, 4268, 538, 8700, 543, 2681, 543, 616, 711, 27101, 593, 2901, 2427, 269, 589, 2257, 3992, 593, 891, 4241, 535, 3894, 568, 519, 3501, 1840, 547, 1565, 519, 4484, 570, 269, 6744, 856, 519, 20259, 12470, 564, 2534, 2630, 563, 279, 269, 634, 5152, 540, 519, 4484, 570, 1107, 10793, 19134, 10458, 454, 24523, 568, 513, 2442, 1148, 1106, 543, 513, 1390, 1259, 547, 948, 1453, 1451, 741, 5022, 1107, 519, 16625, 18405, 543, 6952, 344, 18819, 2087, 12802, 950, 513, 1126, 12066, 956, 609, 606, 4081, 1523, 269, 2913, 707, 2370, 3283, 7544, 741, 25637, 609, 10793, 19134, 10458, 269, 3973, 1694, 873, 693, 519, 3349, 543, 1577, 873, 2259, 1603, 519, 4484, 570, 538, 1114, 4778, 593, 3043, 1957, 585, 513, 1187, 2458, 720, 602, 596, 666, 13793, 538, 519, 26806, 563, 280, 269, 645, 2714, 1194, 570, 1941, 5964, 1107, 24138, 779, 2622, 454, 307, 1941, 29777, 1107, 849, 1572, 14324, 29777, 1107, 616, 6385, 15914, 13740, 540, 2011, 602, 5905, 1312, 519, 2666, 543, 513, 6531, 1657, 269, 25561, 5505, 1034, 4122, 2268, 741, 4222, 1210, 519, 17540, 329, 7534, 4336, 267, 609, 606, 674, 271, 4929, 8766, 3441, 543, 606, 674, 276, 4929, 7372, 3441, 269, 8866, 666, 1451, 811, 827, 14324, 29777, 538, 713, 5850, 689, 24138, 779, 2622, 602, 11414, 873, 875, 547, 1118, 741, 1378, 28575, 538, 513, 11480, 563, 1015, 269, 1215, 547, 8571, 513, 26286, 1107, 3203, 585, 8866, 16735, 454, 12441, 596, 917, 602, 513, 20259, 666, 2196, 607, 3728, 607, 513, 3001, 1286, 286, 570, 22061, 616, 1634, 547, 3914, 11250, 540, 909, 547, 476, 2412, 5195, 829, 5662, 269, 898, 568, 4061, 3339, 602, 513, 1895, 540, 27683, 568, 1572, 513, 5311, 256, 1284, 8910, 2161, 602, 779, 7168, 4977, 267, 3884, 1406, 621, 286, 6258, 811, 827, 27683, 543, 519, 4484, 570, 538, 713, 12882, 1692, 547, 8571, 513, 26286, 5889, 3381, 689, 3203, 585, 8866, 16735, 593, 13334, 269, 0, 763, 1888, 4845, 568, 7363, 519, 3119, 4845, 2705, 621, 1223, 7654, 2408, 693, 1022, 1377, 1369, 519, 5037, 269, 634, 2101, 3364, 568, 547, 1118, 1978, 596, 4076, 513, 1641, 4845, 607, 513, 1439, 1267, 540, 621, 3947, 707, 5037, 922, 1445, 267, 1454, 899, 513, 5098, 25195, 538, 606, 1557, 269, 6884, 621, 949, 581, 2352, 547, 2995, 1141, 835, 5037, 1058, 9096, 543, 835, 824, 1376, 269, 24664, 1176, 267, 972, 616, 513, 5542, 540, 4388, 596, 666, 1246, 799, 949, 1118, 519, 3375, 547, 1847, 593, 547, 513, 1007, 5037, 606, 6654, 835, 269, 634, 1034, 2241, 23988, 547, 7747, 568, 602, 1142, 942, 596, 2253, 547, 1445, 593, 513, 1007, 2856, 267, 596, 1058, 1847, 593, 547, 513, 1007, 5037, 269, 24225, 338, 1058, 2760, 2270, 2789, 3844, 2219, 563, 4415, 513, 1863, 17096, 2638, 518, 267, 519, 2671, 540, 2262, 16519, 30087, 17096, 538, 707, 1257, 949, 581, 519, 9003, 5955, 596, 4309, 269, 5047, 267, 513, 1906, 540, 891, 14273, 949, 530, 1228, 538, 30907, 7297, 267, 543, 1683, 1557, 1603, 2533, 2059, 2427, 741, 10992, 7426, 269, 901, 568, 1946, 1082, 1053, 543, 3610, 3870, 20478, 2861, 2638, 619, 602, 1445, 593, 8699, 267, 971, 1317, 519, 14168, 289, 756, 1603, 7405, 269, 4279, 2093, 1223, 10123, 581, 513, 4105, 851, 540, 1164, 7779, 1603, 267, 855, 789, 5889, 516, 711, 519, 1152, 5057, 563, 2691, 6169, 15105, 267, 594, 979, 883, 519, 7450, 1930, 1505, 607, 596, 4766, 1318, 1934, 269, 4635, 4388, 543, 2409, 602, 594, 5889, 332, 4974, 689, 596, 538, 1840, 547, 930, 1866, 269, 1306, 513, 1543, 2278, 267, 594, 2919, 8885, 547, 606, 5140, 6708, 676, 11362, 883, 707, 8748, 9708, 563, 763, 26430, 540, 707, 5037, 568, 9277, 547, 1397, 707, 1641, 4845, 269, 4475, 267, 707, 1888, 4845, 11129, 547, 1533, 835, 3364, 602, 596, 15475, 610, 2015, 602, 666, 581, 6462, 676, 6405, 2963, 269, 1411, 666, 5291, 2517, 31095, 20365, 17549, 3820, 270, 3240, 611, 332, 3827, 22967, 10687, 270, 2824, 547, 1533, 606, 6644, 538, 707, 1888, 4845, 267, 2705, 9585, 602, 1152, 952, 596, 616, 538, 513, 2990, 547, 1586, 621, 909, 538, 519, 1739, 5037, 563, 8133, 267, 855, 26378, 856, 513, 476, 18231, 1915, 570, 11548, 3884, 5889, 339, 10502, 519, 3501, 8905, 547, 14335, 1134, 268, 23457, 4773, 540, 1603, 269, 1677, 2322, 1927, 938, 1053, 547, 2328, 1524, 17396, 569, 789, 1616, 547, 13498, 519, 1797, 547, 6582, 741, 2093, 593, 1957, 269, 634, 2702, 547, 2322, 538, 1603, 7347, 9433, 568, 606, 1271, 851, 540, 713, 269, 589, 19756, 5037, 7710, 513, 2582, 2339, 609, 1880, 338, 1739, 538, 513, 9266, 1931, 269, 24225, 338, 3335, 946, 13289, 547, 8936, 538, 1022, 824, 2013, 771, 329, 31212, 5220, 267, 7674, 547, 1169, 4062, 540, 1344, 547, 960, 15217, 563, 6524, 7713, 519, 1641, 267, 1491, 513, 1247, 547, 2079, 519, 1641, 5402, 269, 24269, 596, 1382, 519, 1888, 267, 596, 786, 1205, 1082, 2093, 602, 948, 596, 4612, 519, 2339, 7561, 269, 23883, 538, 938, 1016, 9762, 5799, 267, 1082, 1053, 3111, 547, 2322, 538, 1603, 9433, 1863, 11804, 569, 607, 513, 6364, 540, 513, 2603, 540, 873, 2356, 616, 711, 24330, 676, 741, 19174, 563, 8777, 1645, 5816, 7970, 2328, 899, 789, 5889, 516, 2348, 513, 13972, 609, 596, 269, 1411, 1223, 1256, 12162, 707, 2212, 2899, 789, 10460, 513, 13214, 269, 3733, 19463, 1650, 1935, 13147, 923, 519, 596, 25700, 6679, 269, 901, 568, 519, 15864, 1826, 540, 6679, 5037, 547, 2328, 1524, 282, 594, 946, 621, 1034, 4749, 563, 10376, 540, 1346, 3123, 1590, 581, 6462, 609, 1880, 1806, 269, 1924, 267, 1018, 12523, 607, 2796, 585, 606, 25644, 5037, 286, 1411, 1058, 10123, 1832, 538, 2247, 602, 1169, 5037, 1058, 2253, 609, 513, 1641, 4845, 4553, 676, 1614, 5885, 3693, 5220, 543, 513, 25759, 610, 28006, 4845, 563, 763, 1101, 4845, 540, 713, 5037, 11129, 547, 18220, 519, 968, 516, 2091, 13622, 892, 799, 13218, 538, 609, 519, 27139, 13622, 593, 519, 9096, 540, 519, 2606, 5037, 269, 634, 3803, 4845, 593, 713, 5037, 11129, 547, 18220, 513, 27139, 13622, 547, 17063, 883, 519, 2034, 5037, 540, 519, 1560, 269, 1411, 666, 946, 11207, 1114, 2409, 585, 5037, 6454, 269, 5192, 606, 2963, 540, 519, 942, 1974, 5037, 1646, 609, 2312, 1806, 269, 31853, 995, 5830, 946, 1641, 5220, 547, 1312, 6338, 741, 5037, 543, 547, 5912, 689, 519, 4505, 5037, 269, 0, 26074, 538, 19446, 568, 454, 263, 2633, 359, 18892, 2633, 355, 11111, 264, 910, 14271, 11618, 543, 1644, 454, 26074, 568, 24583, 618, 267, 932, 650, 267, 1849, 1195, 543, 4354, 1555, 543, 667, 1662, 269, 6744, 856, 454, 13678, 1791, 1913, 899, 623, 718, 18123, 267, 623, 718, 14306, 543, 623, 718, 1756, 454, 295, 8114, 22564, 568, 454, 13436, 9293, 2060, 19446, 12791, 454, 303, 718, 9502, 1299, 12791, 769, 2296, 454, 268, 630, 333, 4700, 23893, 607, 623, 1177, 331, 563, 268, 630, 333, 4700, 1323, 9018, 28630, 282, 513, 27972, 752, 25136, 563, 268, 630, 341, 269, 512, 4700, 1677, 1118, 22643, 573, 610, 1202, 760, 573, 282, 547, 1118, 3076, 6804, 610, 6891, 1652, 282, 547, 20585, 282, 547, 14020, 563, 268, 630, 333, 4700, 23893, 607, 623, 718, 1756, 563, 268, 630, 341, 269, 512, 4700, 1677, 27972, 752, 563, 268, 630, 333, 4700, 589, 2186, 540, 3638, 8631, 1031, 585, 23157, 538, 519, 5664, 12698, 563, 268, 630, 333, 4700, 715, 13835, 563, 268, 630, 333, 4700, 589, 4062, 540, 21312, 267, 4988, 609, 32028, 543, 25918, 1229, 593, 835, 2427, 282, 4534, 1031, 547, 2322, 936, 519, 669, 531, 823, 563, 268, 630, 341, 269, 512, 4700, 1677, 2893, 5573, 282, 547, 804, 1195, 282, 607, 267, 547, 23080, 519, 14031, 563, 268, 630, 333, 4700, 589, 1804, 12308, 267, 17611, 1421, 513, 5230, 3109, 12308, 267, 16207, 936, 513, 30756, 514, 693, 513, 24133, 282, 3006, 267, 849, 267, 936 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13914, 596, 991, 948, 1631, 888, 763, 10361, 9359, 1489, 543, 5583, 3135, 568, 711, 2966, 547, 1489, 1762, 1004, 538, 513, 6433, 3510, 269, 7490, 4945, 1934, 585, 948, 593, 1018, 547, 798, 538, 513, 6433, 610, 6595, 563, 2080, 616, 519, 2200, 649, 1336, 585, 3007, 17211, 30759, 4524, 585, 1762, 1004, 912, 16158, 2457, 7348, 782, 1357, 335, 1137, 454, 763, 1292, 2589, 540, 11838, 616, 4057, 3007, 267, 1373, 5409, 610, 2141, 968, 517, 519, 979, 892, 543, 1373, 791, 14601, 630, 4777, 532, 1919, 1510, 3206, 1916, 1607, 2985, 689, 519, 4563, 13474, 595, 4456, 9391, 3135, 2488, 606, 4367, 547, 11838, 269, 898, 2882, 4388, 547, 1489, 1762, 1004, 267, 543, 513, 1305, 540, 3606, 6402, 563, 1805, 745, 31227, 547, 13404, 267, 2348, 1932, 1454, 1648, 610, 711, 1373, 2111, 547, 3362, 1852, 707, 7180, 616, 930, 540, 519, 2589, 540, 23206, 4347, 7228, 15214, 5562, 13081, 269, 8479, 21790, 338, 723, 2322, 1927, 713, 2546, 8720, 1018, 11838, 568, 267, 519, 2589, 540, 11838, 267, 1018, 547, 798, 827, 11838, 543, 875, 596, 666, 1521, 11838, 563, 29670, 609, 11838, 1107, 31876, 585, 24635, 6162, 454, 15371, 596, 723, 1175, 1044, 8995, 609, 3007, 17211, 30759, 4524, 610, 723, 1044, 2713, 609, 621, 585, 513, 1247, 267, 3478, 593, 609, 1272, 609, 11838, 666, 3100, 513, 17559, 19175, 269, 1717, 267, 12389, 609, 11838, 568, 1934, 547, 948, 269, 634, 12389, 609, 11838, 3896, 3568, 1344, 827, 1018, 596, 666, 798, 827, 11838, 267, 1018, 4523, 1985, 267, 607, 1134, 607, 23456, 543, 4388, 563, 16920, 1549, 4347, 7228, 15214, 13808, 13081, 454, 6701, 596, 9878, 3007, 286, 634, 17186, 5654, 883, 5084, 291, 543, 11838, 267, 1018, 621, 568, 543, 875, 621, 666, 1860, 707, 1272, 269, 2201, 713, 2546, 267, 596, 666, 1265, 1344, 827, 1018, 11838, 568, 267, 4191, 540, 11838, 267, 875, 11838, 568, 5701, 267, 543, 2436, 11838, 786, 1860, 960, 267, 2090, 543, 3347, 563, 307, 22736, 827, 10076, 2657, 454, 1607, 27412, 689, 8625, 5654, 693, 1114, 2081, 2010, 540, 2790, 11605, 666, 581, 4330, 269, 898, 2982, 602, 1082, 2790, 1072, 2175, 616, 4330, 538, 1360, 1114, 2081, 676, 1114, 2516, 540, 1004, 1107, 971, 607, 7189, 267, 1004, 538, 824, 2694, 540, 519, 1158, 267, 543, 1346, 945, 1995, 873, 269, 0, 13625, 2776, 1613, 5415, 7602, 497, 454, 288, 2754, 568, 513, 3656, 11769, 2813, 14384, 689, 1346, 945, 1378, 543, 7500, 621, 269, 1306, 513, 5094, 11769, 267, 519, 2754, 781, 22440, 543, 9204, 616, 5094, 689, 922, 5411, 630, 3333, 732, 6868, 1070, 7551, 267, 5356, 519, 6574, 2123, 15668, 4027, 540, 782, 1870, 3889, 563, 288, 2754, 568, 606, 5841, 834, 29729, 257, 1268, 269, 898, 568, 11262, 676, 23265, 945, 723, 3908, 15668, 630, 328, 4318, 1421, 789, 616, 711, 13948, 3743, 585, 519, 2754, 779, 22440, 1040, 589, 2754, 568, 2196, 676, 19971, 563, 10303, 519, 2754, 5170, 547, 2291, 1256, 1310, 519, 2669, 540, 513, 2671, 14516, 267, 621, 3091, 16854, 10040, 4058, 5383, 269, 769, 1840, 547, 15668, 4027, 267, 6220, 3091, 10694, 3454, 5383, 267, 1732, 14104, 543, 519, 2702, 547, 6318, 6666, 563, 763, 1292, 5413, 540, 513, 17290, 7577, 568, 547, 5094, 1870, 1981, 689, 519, 2671, 14516, 781, 2123, 7221, 543, 513, 7872, 547, 3970, 519, 2179, 540, 2724, 602, 513, 1870, 32388, 528, 7640, 525, 13948, 563, 288, 7577, 2636, 23265, 547, 3970, 741, 5021, 2009, 15668, 585, 519, 22440, 540, 602, 7577, 547, 519, 2179, 540, 519, 6976, 3854, 538, 519, 7577, 269, 1403, 513, 2671, 14516, 6585, 4627, 1269, 272, 269, 876, 8843, 538, 513, 7577, 267, 602, 2671, 14516, 781, 15668, 585, 519, 2754, 781, 22440, 568, 3908, 547, 1269, 1911, 269, 876, 269, 9523, 6868, 616, 1152, 25964, 585, 1022, 10002, 4660, 8843, 543, 1022, 22440, 602, 723, 1044, 13948, 16798, 269, 2334, 781, 538, 4334, 547, 519, 2990, 540, 513, 6852, 911, 1457, 610, 7649, 538, 513, 6109, 945, 568, 25964, 585, 519, 22440, 540, 602, 1870, 19957, 563, 2662, 12241, 972, 616, 1869, 1455, 1876, 12406, 585, 519, 4027, 540, 606, 796, 2958, 626, 1229, 2012, 267, 8108, 513, 7577, 568, 513, 1259, 547, 18005, 11578, 513, 6355, 2012, 543, 4061, 711, 4328, 519, 1158, 540, 513, 2012, 781, 6228, 563, 5629, 519, 21362, 32057, 540, 14992, 1237, 1407, 519, 7577, 2012, 1100, 824, 7577, 666, 581, 10805, 609, 519, 9838, 610, 2282, 9838, 2012, 563, 2467, 568, 1100, 11578, 585, 796, 4532, 2734, 730, 4703, 971, 607, 12352, 610, 6852, 18318, 563, 21206, 2012, 4027, 666, 581, 2895, 1882, 998, 11578, 532, 513, 570, 2784, 655, 1046, 610, 6796, 4460, 609, 519, 30934, 540, 570, 2784, 655, 10225, 563, 288, 7577, 568, 513, 5094, 3656, 11769, 689, 922, 23265, 563, 2304, 1367, 3112, 4283, 883, 513, 4579, 609, 1864, 855, 513, 2671, 14516, 666, 4283, 883, 513, 4579, 609, 519, 7577, 269, 4475, 513, 2671, 14516, 949, 581, 6964, 676, 519, 7577, 610, 949, 10211, 2724, 547, 519, 7577, 593, 519, 1482, 4493, 607, 1022, 824, 20775, 5428, 563, 288, 7577, 3947, 1114, 3255, 585, 9870, 3854, 269, 901, 949, 581, 676, 29307, 540, 1007, 8843, 630, 1492, 6718, 540, 799, 267, 676, 519, 1007, 23265, 267, 6770, 3854, 883, 519, 7577, 264, 610, 676, 5356, 519, 7577, 607, 3354, 630, 528, 32097, 264, 585, 1022, 20251, 610, 3181, 550, 675, 602, 519, 7577, 3217, 593, 3947, 519, 561, 2658, 811, 3681, 543, 4061, 811, 3354, 563, 1692, 547, 25737, 713, 8525, 454, 257, 26794, 2986, 634, 23654, 12856, 1701, 476, 11277, 20055, 9288, 2593, 269, 476, 866, 2904, 476, 1001, 280, 454, 23921, 5675, 6435, 888, 7476, 5955, 593, 8239, 267, 9355, 267, 6677, 1707, 543, 7954, 14678, 5861, 515, 1188, 707, 1957, 19314, 268, 23654, 4317, 26930, 630, 5425, 305, 264, 538, 519, 9746, 2680, 5823, 666, 581, 585, 3025, 5665, 538, 713, 5823, 513, 4493, 585, 10124, 267, 3255, 543, 8013, 5383, 609, 2543, 547, 1514, 267, 2825, 543, 2804, 3344, 269, 901, 1557, 9388, 609, 519, 2243, 1018, 11483, 305, 568, 543, 875, 621, 7506, 519, 9746, 2680, 2872, 538, 519, 5177, 267, 607, 1134, 607, 609, 519, 2994, 3549, 723, 547, 798, 547, 5352, 513, 4264, 2754, 2497, 543, 875, 789, 666, 18973, 741, 13781, 547, 2087, 5539, 2807, 1496, 15912, 281, 21478, 593, 23654, 7926, 12752, 2639, 14690, 278, 1913, 630, 276, 3817, 994, 268, 1677, 18113, 2232, 519, 2470, 540, 938, 13055, 267, 2327, 7024, 585, 9520, 267, 543, 2611, 10121, 547, 938, 5692, 267, 519, 9746, 1106, 568, 11295, 607, 513, 585, 17416, 595, 18294, 269, 1284, 1589, 713, 1106, 568, 519, 1034, 20009, 547, 938, 5692, 543, 3853, 1813, 547, 519, 1445, 593, 6940, 267, 7443, 19114, 267, 543, 519, 8112, 585, 14827, 3681, 269, 5047, 267, 649, 723, 1896, 7293, 543, 3656, 6127, 538, 1747, 547, 2061, 5692, 20847, 267, 5103, 1373, 513, 585, 17416, 3919, 269, 589, 269, 595, 15278, 13419, 1005, 595, 10621, 21397, 607, 513, 1715, 3840, 595, 15278, 1131, 1450, 721, 547, 1445, 938, 3646, 593, 1312, 5011, 540, 519, 1870, 267, 543, 11753, 873, 547, 2327, 519, 15325, 540, 519, 1870, 2203, 2807, 1496, 15912, 281, 15278, 267, 17290, 15668, 2754, 267, 6355, 2639, 278, 1789, 1913, 630, 273, 269, 272, 3817, 994, 268, 589, 6852, 32388, 11208, 568, 513, 1870, 602, 814, 513, 2582, 8227, 945, 568, 3743, 585, 1818, 3664, 585, 519, 2754, 269, 589, 11450, 5161, 540, 1079, 1004, 945, 2671, 519, 5539, 540, 4881, 513, 2754, 269, 589, 18294, 568, 835, 540, 519, 1034, 6654, 1870, 3889, 543, 814, 1114, 9163, 689, 519, 5411, 540, 519, 2754, 269, 2290, 610, 811, 5411, 949, 3565, 607, 23265, 540, 513, 18294, 269, 1924, 548, 281, 589, 6852, 32388, 11208, 568, 519, 15864, 11769, 547, 1106, 1317, 621, 568, 711, 513, 3656, 11769, 543, 3340, 1100, 1957, 1740, 2807, 1496, 15912, 281, 15278, 267, 9537, 540, 3549, 267, 13751, 9988, 2639, 278, 4029, 1913, 630, 273, 269, 272, 3817, 994, 268, 476, 272, 269, 1403, 25138, 5205, 998, 609, 1200, 1544, 543, 10741, 909, 519, 13962, 593, 1200, 1378, 267, 519, 1826, 540, 1870, 1352, 568, 5665, 7125, 1924, 548, 1160, 3064, 564, 11208, 269, 1924, 548, 1160, 3064, 564, 11208, 1797, 602, 519, 1870, 568, 11262, 543, 786, 581, 13234, 1152, 676, 835, 1268, 269, 22436, 540, 6852, 32388, 11208, 281, 14168, 543, 20522, 547, 1106, 281, 1924, 548, 32388, 11208, 568, 519, 14724, 543, 2547, 7199, 1870, 2497, 547, 10891, 269, 26959, 616, 8766, 267, 609, 3656, 3790, 3908, 547, 13844, 2877, 12689, 610, 14998, 269, 14168, 1780, 998, 9204, 281, 25138, 779, 1870, 568, 711, 3454, 539, 14384, 267, 865, 621, 779, 2653, 547, 11886, 519, 3454, 8989, 4170, 585, 513, 6852, 32388, 11208, 2807, 1496, 15912, 281, 15278, 267, 9537, 540, 3549, 2639, 8099, 278, 1913, 630, 274, 269, 273, 3817, 994, 268, 634, 3854, 2497, 540, 513, 6109, 568, 519, 1259, 538, 799, 621, 16976, 547, 8804, 922, 4238, 689, 1585, 7482, 267, 16030, 7963, 267, 971, 607, 7554, 543, 14222, 12029, 267, 543, 9698, 267, 1519, 6006, 543, 17477, 15271, 269, 769, 519, 1279, 2165, 267, 10909, 3343, 547, 1265, 519, 6099, 7963, 25668, 640, 5223, 269, 901, 1557, 786, 2263, 519, 5383, 543, 11393, 540, 1114, 3854, 2497, 30012, 267, 543, 2015, 2436, 713, 814, 1022, 10083, 547, 6109, 1871, 538, 3069, 543, 538, 4641, 269, 634, 3664, 1472, 3854, 2497, 9114, 609, 519, 31707, 2818, 540, 519, 6109, 267, 2705, 267, 621, 568, 519, 7963, 25963, 543, 23265, 945, 616, 811, 12155, 547, 7703, 1981, 2807, 1496, 15912, 281, 16010, 267, 23654, 8804, 267, 3212, 9535, 11352, 7869, 2639, 14093, 277, 1913, 630, 274, 269, 275, 3817, 994, 268, 1403, 596, 616, 1007, 16724, 3168, 540, 3257, 513, 1870, 538, 513, 9746, 1106, 540, 13539, 267, 1101, 596, 723, 547, 2824, 513, 1106, 540, 1870, 13539, 269, 1703, 616, 2185, 2010, 540, 23654, 6355, 22553, 2139, 585, 11639, 8876, 1870, 538, 3127, 281, 17721, 14992, 5398, 14992, 17290, 700, 6636, 16890, 4721, 630, 299, 10861, 264, 2290, 12287, 14992, 630, 8008, 290, 264, 19139, 540, 519, 3617, 1106, 585, 707, 1870, 5673, 593, 1082, 2188, 971, 607, 519, 1826, 540, 1870, 267, 519, 1297, 540, 7606, 3238, 267, 2436, 596, 1616, 2407, 1852, 610, 4782, 547, 2671, 9021, 267, 3854, 4170, 267, 3454, 6042, 543, 1870, 15668, 2807, 1496, 15912, 281, 15278, 267, 17290, 15668, 11450, 2639, 14695, 274, 1913, 630, 274, 269, 277, 3817, 994, 268, 12143, 476, 278, 23654, 7963, 568, 513, 1804, 1888, 269, 10738, 713, 1888, 972, 616, 1082, 1114, 5383, 543, 11393, 540, 9746, 7963, 269, 2290, 5413, 540, 9746, 7963, 568, 602, 621, 568, 513, 14949, 2707, 540, 2508, 982, 9698, 909, 547, 513, 1978, 3970, 269, 6271, 5413, 568, 621, 1281, 711, 32561, 519, 9562, 540, 519, 2754, 269, 6271, 5413, 568, 602, 1719, 568, 3454, 20952, 1043, 269, 898, 568, 606, 5413, 602, 621, 4679, 519, 2628, 719, 547, 9698, 6006, 25963, 950, 519, 2754, 15824, 1134, 269, 2290, 2063, 5413, 568, 602, 621, 666, 581, 5833, 585, 2110, 2165, 543, 1279, 2474, 1759, 593, 10421, 2807, 1496, 15912, 281, 14351, 267, 2776, 31084, 6006, 267, 14351, 2344, 267, 29435, 754, 2639, 22446, 278, 1913, 630, 277, 269, 277, 3817, 994, 268, 23654, 1377, 4640, 568, 16922, 540, 519, 3664, 7580, 9946, 1590, 1118, 538, 7446, 538, 799, 3906, 543, 5010, 26136, 606, 3919, 11129, 547, 25077, 538, 267, 8939, 799, 1871, 5137, 2238, 621, 1058, 1685, 538, 1346, 3906, 543, 14045, 875, 621, 1058, 4283, 873, 267, 6443, 267, 610, 4734, 3906, 610, 6080, 547, 2744, 1279, 3856, 20656, 630, 295, 650, 267, 13643, 267, 5576, 3739, 267, 476, 1001, 276, 1040, 769, 713, 6073, 267, 547, 2333, 20656, 267, 513, 9746, 7400, 4640, 1058, 7668, 606, 3919, 547, 1685, 891, 1871, 6198, 2238, 693, 513, 1970, 1942, 543, 5924, 538, 513, 1259, 602, 13976, 15285, 630, 295, 650, 267, 13643, 267, 5576, 3739, 267, 476, 1001, 276, 264, 2807, 1496, 15912, 281, 21864, 2359, 267, 5004, 2639, 11793, 275, 1913, 630, 274, 3817, 994, 268, 589, 4129, 1881, 2754, 814, 1079, 2157, 540, 4640, 281, 1870, 1770, 630, 528, 8013, 264, 4640, 543, 9746, 630, 528, 2754, 4204, 264, 4640, 269, 14847, 1438, 4640, 4145, 875 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3246, 707, 2123, 2564, 1344, 547, 6796, 4516, 269, 2659, 2564, 19995, 1590, 1287, 1129, 621, 543, 2285, 513, 2143, 1867, 540, 707, 2564, 1686, 609, 873, 563, 26589, 609, 519, 1079, 3029, 267, 596, 1590, 849, 1331, 607, 1454, 1344, 607, 2009, 827, 707, 5312, 8229, 1928, 2783, 267, 689, 5868, 267, 5574, 543, 6527, 1031, 547, 1521, 621, 267, 707, 3801, 547, 3136, 2324, 267, 543, 811, 563, 2171, 723, 849, 2854, 513, 1900, 8386, 9912, 3391, 585, 519, 8713, 303, 26225, 13335, 1184, 602, 596, 666, 946, 585, 4704, 563, 1692, 547, 5192, 10088, 1386, 585, 8713, 303, 26225, 585, 18127, 715, 2925, 10266, 454, 4407, 649, 723, 2907, 5941, 519, 25046, 7355, 540, 1373, 1063, 519, 6502, 540, 476, 1240, 268, 4792, 267, 7700, 513, 1713, 2179, 547, 8713, 303, 267, 543, 6029, 519, 10335, 610, 12675, 2470, 540, 707, 2783, 267, 713, 3296, 786, 1397, 875, 547, 1205, 9516, 585, 513, 5312, 8229, 1928, 2783, 563, 4537, 12976, 6169, 602, 707, 5312, 8229, 1928, 568, 4049, 2614, 547, 581, 2808, 513, 9659, 666, 581, 1360, 2352, 607, 5312, 8229, 1928, 2175, 616, 6140, 15865, 269, 1717, 267, 609, 2614, 2963, 689, 7189, 685, 5359, 543, 3102, 6811, 8720, 707, 27676, 2589, 267, 596, 1058, 1265, 621, 1454, 4443, 547, 581, 9516, 585, 8713, 303, 26225, 563, 763, 1034, 2629, 851, 540, 1022, 8713, 303, 26225, 3409, 568, 18445, 602, 707, 2783, 568, 4049, 610, 12675, 2614, 547, 2061, 596, 689, 2324, 269, 1677, 2253, 2679, 707, 2013, 267, 596, 786, 991, 606, 4013, 5868, 689, 513, 4387, 17548, 602, 707, 5312, 8229, 1928, 2783, 568, 4049, 2614, 547, 581, 2808, 513, 9659, 563, 2691, 3168, 693, 707, 3409, 267, 7755, 644, 545, 2209, 786, 4983, 1022, 4255, 596, 723, 22734, 3823, 707, 5312, 8229, 1928, 2783, 547, 2327, 596, 723, 4607, 1169, 2556, 1449, 547, 3489, 606, 4977, 5868, 269, 4935, 267, 596, 1590, 1491, 782, 4255, 543, 1022, 1761, 5574, 607, 596, 949, 711, 581, 14718, 585, 8713, 303, 26225, 952, 596, 798, 711, 563, 763, 1739, 3296, 786, 3382, 1018, 596, 1590, 28273, 952, 596, 616, 17792, 8713, 303, 26225, 585, 741, 5312, 8229, 1928, 2783, 563, 1432, 547, 1684, 952, 1411, 3657, 9324, 1221, 585, 8713, 303, 26225, 585, 18127, 715, 2925, 10266, 888, 1607, 3296, 786, 13713, 979, 936, 519, 24677, 543, 9029, 1184, 540, 8713, 303, 26225, 267, 649, 723, 606, 538, 3829, 8713, 303, 26225, 9324, 658, 543, 2561, 7002, 11137, 2376, 602, 6227, 1142, 1900, 540, 519, 1184, 563, 4407, 519, 24677, 2557, 585, 8713, 303, 26225, 18795, 1472, 476, 2568, 260, 540, 782, 3156, 267, 972, 568, 1869, 513, 4960, 585, 13170, 282, 596, 1175, 723, 547, 581, 2386, 547, 1964, 4450, 707, 3498, 543, 1832, 707, 2212, 909, 563, 2252, 17792, 267, 596, 1590, 2708, 707, 3409, 543, 3313, 1141, 596, 4682, 4636, 269, 9324, 658, 568, 1419, 1813, 547, 513, 3668, 540, 1344, 610, 6169, 23831, 17258, 547, 707, 7662, 269, 1234, 28265, 707, 3409, 267, 8720, 1022, 1761, 9475, 621, 949, 723, 1185, 543, 9029, 519, 3375, 563, 2252, 707, 3498, 568, 17792, 267, 596, 666, 9029, 519, 3375, 909, 547, 1614, 2053, 267, 799, 4422, 998, 519, 1614, 1739, 5933, 912, 268, 1234, 4621, 573, 3130, 540, 707, 2013, 454, 268, 4317, 8232, 17650, 26915, 630, 306, 4306, 264, 693, 519, 4937, 5426, 454, 268, 590, 4306, 693, 519, 2561, 324, 1023, 5426, 454, 2026, 596, 979, 998, 1142, 3942, 540, 519, 8713, 303, 26225, 9029, 1184, 267, 596, 786, 991, 547, 1683, 1007, 1344, 1247, 1201, 1090, 532, 1018, 596, 2907, 4843, 3823, 707, 2013, 543, 2783, 547, 2333, 707, 8458, 540, 13170, 563, 3682, 1324, 707, 5312, 8229, 1928, 2783, 543, 2519, 593, 17258, 5818, 619, 786, 948, 2333, 707, 8458, 540, 13170, 267, 865, 649, 786, 1683, 538, 3829, 1344, 593, 1818, 707, 3409, 811, 23674, 563, 2252, 596, 723, 1044, 17792, 543, 1131, 899, 930, 6351, 998, 519, 24677, 1184, 267, 3346, 26225, 15894, 4516, 2221, 267, 543, 649, 786, 948, 596, 998, 519, 24677, 1184, 609, 938, 3573, 1702, 543, 1995, 563, 290, 1042, 2225, 30205, 619, 270, 298, 650, 619, 585, 8713, 303, 26225, 18127, 715, 2925, 10266, 10241, 454, 17809, 4575, 607, 1454, 2963, 689, 2564, 543, 7694, 6054, 568, 835, 540, 519, 1655, 2081, 547, 1489, 707, 3409, 282, 2705, 267, 596, 543, 707, 3409, 1590, 849, 3100, 23674, 950, 9306, 713, 2963, 563, 290, 1042, 2225, 2488, 606, 3606, 6316, 1247, 1818, 707, 3409, 267, 607, 519, 811, 23674, 596, 616, 267, 519, 811, 2693, 707, 3498, 786, 581, 9516, 267, 1256, 952, 596, 723, 1447, 8101, 2963, 269, 634, 6587, 568, 849, 3020, 1107, 952, 596, 723, 1713, 2963, 267, 855, 596, 2461, 2938, 607, 711, 23674, 267, 596, 786, 811, 2693, 581, 17792, 563, 2171, 723, 7396, 930, 17258, 5818, 619, 543, 17258, 6146, 619, 547, 948, 2087, 707, 3498, 779, 543, 3409, 779, 17258, 563, 5278, 2081, 547, 10413, 707, 17258, 616, 912, 268, 3502, 3246, 1344, 593, 942, 454, 268, 769, 4621, 11962, 2564, 5638, 543, 6898, 454, 268, 7600, 545, 1944, 1866, 538, 707, 3409, 454, 268, 14803, 5224, 609, 7189, 936, 707, 5868, 454, 268, 674, 4979, 21678, 267, 2942, 267, 610, 796, 2889, 32216, 20286, 454, 268, 9861, 10728, 267, 26878, 2880, 610, 13720, 1049, 454, 268, 28055, 532, 547, 2408, 899, 606, 4274, 454, 268, 19196, 4926, 610, 1966, 1025, 5446, 454, 5278, 2081, 547, 948, 707, 17258, 616, 912, 268, 10435, 606, 7805, 3801, 547, 1832, 2324, 454, 268, 11109, 707, 6898, 6474, 707, 2564, 5638, 454, 268, 9861, 3743, 585, 707, 3409, 454, 268, 11109, 513, 18756, 543, 16614, 3409, 454, 268, 18964, 543, 1739, 5796, 689, 4966, 454, 32247, 8229, 1928, 666, 1491, 1082, 3029, 543, 568, 5532, 547, 1082, 1114, 2175, 269, 6787, 621, 568, 2789, 26379, 267, 19576, 779, 267, 610, 8229, 3441, 267, 5312, 8229, 1928, 666, 1491, 513, 17167, 593, 707, 1272, 543, 1942, 513, 1713, 2179, 547, 1521, 563, 299, 3089, 1176, 267, 8713, 303, 26225, 2488, 14718, 23671, 10865, 2640, 547, 7110, 741, 4747, 865, 789, 666, 4734, 519, 13781, 543, 2061, 2417, 24395, 566, 540, 741, 15717, 563, 4263, 26225, 15894, 4516, 267, 649, 723, 5280, 9118, 23671, 609, 741, 8225, 623, 3290, 4643, 26225, 11588, 3498, 269, 3776, 3573, 1702, 1028, 999, 596, 786, 723, 1100, 8373, 609, 519, 3498, 1184, 269, 1284, 786, 948, 596, 2445, 1344, 543, 3346, 519, 1697, 2564, 9439, 547, 2327, 596, 723, 519, 1655, 4960, 585, 13170, 563, 2171, 2709, 1863, 10526, 543, 960, 593, 513, 12971, 654, 2562, 1107, 12971, 674, 7417, 4493, 267, 2495, 649, 1152, 1205, 6976, 952, 596, 798, 543, 616, 10996, 643, 1242, 547, 3142, 596, 519, 1034, 856, 540, 707, 32479, 256, 0, 8005, 1185, 519, 521, 5417, 652, 1272, 538, 1686, 454, 763, 521, 5417, 652, 1650, 454, 257, 301, 984, 1328, 14543, 547, 5431, 713, 3209, 2437, 7074, 3619, 9220, 827, 519, 834, 19491, 633, 3413, 514, 885, 2580, 834, 320, 7184, 13730, 10138, 602, 695, 625, 2476, 689, 14656, 538, 7067, 267, 513, 2295, 602, 12194, 547, 9156, 1701, 4340, 547, 3619, 9220, 781, 2272, 267, 519, 1650, 3592, 555, 342, 14975, 922, 1378, 1967, 267, 1317, 519, 11056, 540, 519, 1292, 2856, 834, 628, 805, 2989, 547, 3444, 519, 7499, 10465, 8487, 1692, 1281, 16110, 781, 15669, 10018, 602, 646, 786, 2463, 519, 3970, 540, 1148, 286, 6496, 333, 1405, 519, 521, 5417, 652, 1650, 723, 547, 979, 3564, 519, 7182, 540, 16885, 1214, 286, 2107, 2322, 1776, 1259, 281, 2052, 519, 521, 5417, 652, 1650, 1869, 581, 513, 1650, 286, 589, 1650, 814, 513, 1106, 267, 568, 2760, 1175, 24986, 267, 3568, 17212, 1324, 267, 1427, 8973, 8090, 269, 2311, 2547, 519, 4098, 543, 519, 1439, 1590, 581, 1114, 269, 3143, 2339, 875, 3983, 621, 5828, 856, 267, 621, 1522, 723, 5828, 856, 8335, 267, 543, 2899, 596, 1589, 827, 621, 267, 596, 949, 581, 4313, 539, 563, 293, 867, 781, 3209, 729, 3370, 538, 5507, 538, 476, 4489, 276, 269, 4340, 547, 519, 2278, 781, 16858, 267, 646, 1058, 723, 4857, 5128, 607, 834, 763, 590, 5417, 652, 9452, 257, 538, 519, 2140, 269, 634, 2278, 4941, 547, 19467, 609, 519, 15669, 282, 634, 521, 790, 333, 5152, 1058, 2907, 3914, 519, 1433, 23138, 945, 1152, 1350, 1734, 693, 519, 2140, 2985, 269, 16110, 781, 17404, 1336, 519, 2140, 20025, 269, 1548, 1650, 1223, 476, 4489, 276, 581, 8909, 1457, 982, 519, 2527, 7972, 538, 519, 512, 29168, 286, 634, 1433, 729, 2016, 606, 620, 5362, 281, 834, 763, 6153, 22307, 1512, 2668, 2290, 13300, 267, 2705, 267, 2436, 519, 13348, 5328, 31491, 720, 4769, 1406, 723, 547, 1055, 754, 1346, 945, 3576, 851, 538, 519, 2112, 281, 519, 5869, 540, 519, 2140, 267, 945, 24151, 782, 519, 21644, 540, 519, 2296, 3084, 1915, 538, 1010, 7328, 344, 1560, 267, 568, 606, 2937, 19907, 543, 3653, 995, 269, 634, 4436, 8144, 3947, 519, 1433, 922, 6822, 10631, 633, 2140, 1394, 269, 2334, 621, 2899, 1586, 20546, 525, 519, 521, 5417, 652, 1650, 543, 21810, 621, 883, 519, 521, 5417, 652, 835, 568, 5812, 538, 519, 2631, 540, 519, 1093, 7497, 540, 608, 12000, 3130, 602, 11479, 519, 2239, 269, 6884, 267, 2705, 267, 674, 761, 345, 700, 25403, 543, 4477, 2940, 7009, 2763, 267, 945, 1101, 4843, 741, 5277, 6771, 538, 476, 3422, 273, 267, 1491, 1932, 1454, 856, 540, 2933, 563, 306, 550, 14939, 538, 519, 1433, 568, 519, 2012, 540, 519, 27303, 23381, 602, 16111, 7472, 2706, 331, 2510, 269, 634, 1434, 17199, 568, 6353, 607, 513, 834, 338, 550, 14939, 626, 2580, 607, 513, 29595, 27585, 945, 1152, 6499, 519, 1655, 269, 1656, 519, 15669, 21904, 519, 1482, 12402, 2509, 18941, 1275, 538, 1010, 1378, 2013, 269, 2060, 700, 25403, 543, 7009, 2763, 519, 834, 338, 550, 14939, 626, 257, 5526, 607, 513, 834, 338, 17567, 1268, 2668, 901, 5540, 519, 12809, 3693, 540, 1010, 6228, 267, 519, 13829, 593, 24221, 543, 30181, 269, 1809, 18941, 1275, 607, 513, 1259, 540, 1272, 849, 2882, 606, 3742, 267, 10795, 4090, 267, 25786, 1919, 2687, 547, 835, 781, 1378, 4313, 267, 513, 15265, 5187, 2305, 2687, 547, 519, 5339, 2203, 269, 11977, 568, 1018, 16110, 7125, 1010, 17199, 267, 513, 3638, 2197, 9543, 2006, 538, 519, 6305, 540, 1272, 568, 1434, 585, 513, 3209, 5869, 1317, 646, 12909, 899, 513, 3209, 5869, 269, 1261, 2729, 538, 1010, 1378, 1500, 5346, 4641, 269, 634, 3209, 267, 4171, 1101, 16512, 15669, 605, 8010, 338, 538, 519, 1101, 4845, 602, 1169, 824, 1650, 533, 2297, 1985, 547, 922, 1650, 267, 2306, 519, 1482, 3409, 547, 608, 12807, 607, 519, 11509, 24178, 626, 563, 3849, 4784, 569, 267, 519, 15669, 13290, 1010, 1655, 547, 12404, 1010, 18941, 1275, 269, 834, 1607, 568, 519, 521, 5417, 652, 1650, 594, 4312, 2479, 4862, 1701, 1403, 646, 941, 547, 14773, 519, 521, 5417, 652, 1650, 602, 814, 2479, 5949, 593, 3618, 267, 835, 1131, 21817, 540, 1010, 1379, 540, 10385, 269, 634, 6027, 1843, 2032, 914, 7590, 606, 1799, 617, 4733, 1641, 2032, 269, 634, 15669, 14753, 538, 1010, 1378, 2012, 267, 855, 711, 593, 1010, 1378, 15773, 269, 1261, 4862, 519, 1650, 543, 267, 19433, 1227, 267, 30650, 599, 568, 1732, 2963, 540, 519, 5168, 982, 835, 781, 1378, 1995, 269, 901, 568, 519, 521, 5417, 652, 1650, 602, 814, 2479, 5949, 547, 803, 281, 1703, 729, 1100, 9059, 538, 971, 513, 4098, 269, 634, 5467, 1131, 1589, 7466, 827, 10024, 513, 5858, 540, 4357, 10096, 543, 24735, 885, 269, 1809, 2094, 16110, 781, 15669, 14753, 607, 519, 26575, 267, 519, 5467, 5128, 3587, 519, 26575, 269, 1306, 513, 5467, 267, 646, 666, 2673, 519, 1433, 693, 1022, 942, 269, 1306, 513, 26575, 267, 646, 18795, 2066, 689, 2576, 3116, 267, 4991, 1303, 22931, 538, 513, 2078, 602, 646, 3112, 1928, 8393, 1439, 563, 4415, 519, 23972, 540, 519, 12473, 10564, 267, 519, 15669, 17993, 519, 3972, 540, 519, 5467, 281, 1261, 5359, 513, 12300, 10071, 602, 568, 865, 12300, 602, 519, 26575, 786, 538, 2490, 1867, 621, 547, 1776, 269, 769, 713, 1259, 519, 15669, 14405, 519, 5467, 883, 513, 22637, 602, 646, 666, 1100, 3476, 9101, 269, 898, 7140, 856, 693, 2899, 602, 519, 15669, 568, 10213, 1010 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 721, 689, 930, 824, 22825, 267, 568, 602, 649, 1831, 1114, 1004, 267, 538, 513, 1259, 267, 950, 649, 616, 538, 4395, 540, 513, 1362, 689, 519, 1004, 649, 616, 538, 824, 3871, 267, 971, 607, 693, 1753, 610, 693, 513, 5428, 563, 25444, 17176, 5107, 899, 713, 538, 741, 3232, 2729, 547, 930, 6708, 267, 855, 585, 3610, 267, 945, 649, 616, 610, 2408, 547, 581, 950, 649, 616, 693, 960, 568, 2523, 1271, 269, 22226, 2368, 1296, 3516, 267, 538, 7041, 585, 513, 6881, 547, 9164, 267, 594, 6592, 11042, 609, 513, 1804, 1003, 10874, 540, 3610, 543, 1053, 269, 13229, 4116, 7209, 568, 513, 11100, 1063, 945, 649, 2731, 616, 267, 543, 945, 649, 616, 607, 3610, 269, 1284, 723, 547, 581, 2111, 547, 1459, 513, 3318, 3068, 547, 519, 1053, 799, 789, 1265, 1312, 4277, 543, 2500, 563, 2691, 649, 3802, 883, 519, 4928, 267, 649, 1616, 873, 547, 1294, 2576, 945, 5654, 899, 513, 4116, 8726, 3116, 789, 1413, 899, 269, 901, 1281, 711, 1611, 598, 14127, 547, 930, 2186, 540, 4116, 8305, 9189, 267, 855, 2864, 4466, 267, 1142, 538, 938, 1378, 1259, 267, 513, 1268, 320, 602, 649, 9772, 950, 649, 3444, 519, 12939, 563, 2171, 991, 547, 2307, 6000, 1018, 2186, 540, 7209, 649, 1616, 938, 1053, 547, 7237, 267, 543, 519, 3664, 649, 1491, 1354, 543, 1282, 4245, 1058, 948, 547, 6542, 602, 7209, 269, 901, 568, 711, 547, 2303, 602, 649, 616, 538, 1022, 1259, 31081, 652, 827, 945, 649, 616, 1107, 3450, 568, 711, 9117, 267, 1310, 782, 1107, 855, 649, 798, 991, 547, 1589, 5402, 827, 875, 649, 2408, 269, 11154, 1464, 654, 11058, 1419, 7436, 835, 4116, 856, 689, 1776, 568, 875, 789, 2746, 547, 1114, 2621, 538, 519, 4928, 607, 519, 3992, 23131, 563, 1607, 568, 708, 2823, 656, 267, 1317, 2705, 1134, 649, 723, 5423, 267, 519, 8458, 616, 602, 1919, 786, 711, 979, 4010, 547, 1544, 269, 1284, 786, 1865, 971, 9059, 8090, 543, 27644, 2042, 593, 2985, 901, 568, 2523, 708, 2823, 656, 950, 519, 1565, 4093, 649, 1185, 9709, 585, 1413, 607, 952, 789, 949, 711, 8011, 1317, 540, 1018, 568, 8345, 269, 1284, 723, 547, 581, 8465, 2614, 547, 960, 609, 713, 543, 1689, 938, 10278, 9935, 952, 713, 814, 547, 581, 2944, 610, 1265, 930, 824, 1259, 547, 1205, 972, 563, 7775, 5310, 649, 723, 547, 1491, 513, 3375, 547, 3136, 1018, 649, 616, 3257, 5103, 519, 954, 8306, 547, 519, 1259, 649, 16545, 1919, 941, 2469, 547, 8399, 269, 1879, 1053, 1294, 602, 789, 666, 798, 713, 267, 741, 6015, 538, 741, 3610, 568, 7494, 8476, 563, 2252, 267, 585, 1383, 267, 519, 4116, 2141, 6411, 607, 513, 17120, 267, 7555, 693, 519, 4395, 540, 519, 1362, 267, 9598, 908, 3388, 602, 4523, 543, 1373, 519, 1445, 540, 3007, 267, 972, 786, 581, 2370, 4960, 585, 1053, 547, 1491, 1454, 5539, 585, 741, 1378, 1565, 267, 538, 824, 1913, 267, 585, 873, 547, 723, 8116, 1294, 2985, 9861, 513, 17120, 949, 960, 585, 8239, 3137, 543, 824, 1344, 6881, 267, 585, 3236, 267, 855, 621, 568, 1447, 2500, 585, 2238, 1141, 1053, 616, 2324, 1927, 24625, 8271, 593, 513, 1788, 267, 585, 1383, 563, 1103, 971, 3871, 649, 949, 991, 547, 581, 1596, 335, 1562, 267, 8716, 1053, 267, 11319, 873, 547, 3035, 811, 267, 8023, 538, 513, 3787, 540, 1344, 610, 1893, 547, 948, 873, 8399, 269, 2311, 824, 2053, 267, 649, 949, 991, 547, 957, 607, 5955, 7426, 4543, 1053, 547, 6218, 741, 2773, 610, 607, 2708, 832, 10213, 1053, 875, 1134, 789, 723, 2944, 610, 4758, 873, 9344, 267, 3092, 563, 2171, 849, 991, 547, 581, 2111, 547, 1599, 607, 513, 4199, 585, 1893, 1344, 267, 3092, 950, 1053, 991, 547, 5077, 721, 543, 267, 693, 2053, 267, 607, 513, 1893, 20131, 602, 568, 267, 606, 25129, 945, 20781, 547, 1018, 519, 2875, 568, 3257, 543, 1443, 2478, 873, 593, 1018, 547, 798, 1985, 563, 763, 1259, 649, 957, 950, 649, 616, 9013, 513, 1362, 568, 1360, 1114, 689, 519, 6947, 543, 1443, 2358, 7180, 649, 786, 8858, 950, 649, 616, 23468, 1053, 610, 14775, 547, 513, 6881, 610, 513, 4062, 540, 1603, 1945, 602, 568, 1114, 267, 1586, 267, 689, 519, 1259, 649, 2708, 513, 4062, 540, 960, 563, 8512, 540, 938, 4116, 7209, 267, 4061, 267, 568, 938, 2702, 547, 1685, 782, 891, 5107, 693, 1114, 2053, 267, 855, 609, 519, 1482, 1416, 543, 8897, 627, 31295, 1909, 649, 616, 3238, 609, 269, 901, 8112, 786, 948, 721, 547, 7520, 519, 1082, 1114, 5933, 543, 18125, 540, 1565, 269, 681, 1952, 677, 589, 1713, 4183, 538, 519, 17271, 8404, 540, 1053, 1294, 2985, 476, 736, 786, 4096, 593, 741, 8226, 540, 1018, 519, 4116, 14659, 540, 873, 267, 543, 875, 789, 616, 5701, 269, 681, 1952, 677, 1797, 267, 538, 9759, 267, 519, 2078, 602, 519, 1053, 723, 609, 519, 4116, 267, 543, 13030, 17930, 563, 1103, 519, 1655, 4245, 649, 786, 2141, 1294, 513, 2318, 267, 11791, 543, 16614, 2078, 269, 681, 1952, 677, 568, 3964, 538, 851, 950, 1053, 1831, 3222, 540, 938, 3318, 1143, 1294, 1657, 2073, 855, 621, 849, 4386, 607, 513, 1267, 540, 519, 1259, 649, 6432, 547, 543, 1521, 519, 1053, 538, 938, 13460, 563, 1103, 519, 1101, 1747, 267, 1053, 1616, 3610, 547, 917, 741, 4408, 2864, 982, 267, 2161, 267, 1175, 15738, 693, 873, 269, 1809, 713, 568, 5393, 2352, 585, 3610, 945, 1294, 5216, 610, 8370, 2516, 513, 3018, 269, 1215, 666, 789, 3314, 782, 741, 1053, 286, 2290, 544, 2802, 617, 568, 547, 2307, 519, 1053, 693, 2547, 538, 519, 1101, 3018, 610, 1079, 547, 2322, 2012, 6486, 593, 519, 11380, 538, 4395, 540, 873, 610, 6529, 2012, 3983, 2471, 593, 547, 741, 4418, 11596, 610, 13544, 1115, 269, 1284, 666, 849, 2721, 909, 513, 27939, 1544, 543, 2307, 1053, 2141, 547, 1694, 538, 519, 1482, 1747, 2394, 649, 723, 19927, 741, 4408, 563, 6624, 3610, 946, 519, 11578, 547, 1118, 4967, 827, 1367, 1053, 1684, 789, 5957, 14296, 286, 3657, 789, 7381, 286, 1284, 991, 267, 4061, 267, 547, 1265, 2081, 540, 3257, 713, 602, 9290, 721, 1655, 269, 2311, 1022, 2085, 267, 789, 786, 581, 20938, 950, 789, 29311, 602, 741, 4116, 814, 15422, 1919, 827, 873, 267, 543, 814, 930, 1620, 540, 945, 789, 616, 563, 8266, 2287, 547, 1053, 4841, 4431, 1360, 1134, 547, 3610, 945, 6432, 547, 873, 269, 1411, 616, 6085, 532, 1210, 707, 31964, 269, 1411, 616, 6085, 532, 1210, 707, 12108, 2272, 269, 1411, 616, 6085, 532, 1210, 707, 9365, 2272, 269, 3502, 1518, 803, 540, 1007, 8292, 3842, 4757, 269, 3502, 1518, 803, 540, 1007, 9708, 3842, 4757, 269, 2598, 7236, 543, 320, 546, 777, 520, 544, 754, 777, 520, 16988, 8020, 657, 21510, 5604, 1527, 525, 1308, 21583, 561, 1263, 330, 777, 3954, 1146, 5033, 7699, 737, 20234, 517, 523, 1019, 1884, 541, 1415, 320, 2433, 476, 272, 269, 589, 1906, 4555, 593, 960, 1272, 28394, 766, 563, 3674, 642, 322, 1869, 513, 3364, 3803, 269, 634, 27722, 309, 2465, 12474, 7844, 269, 26495, 6501, 11020, 11061, 4112, 1622, 18421, 269, 18738, 5616, 779, 10606, 538, 27588, 30581, 585, 24021, 12694, 269, 772, 311, 267, 17801, 2762, 543, 7399, 281, 585, 23905, 267, 631, 13952, 543, 19964, 269, 13565, 7734, 5131, 609, 513, 476, 1789, 1554, 4693, 689, 2480, 1026, 323, 269, 3767, 1548, 286, 16959, 281, 589, 6490, 7546, 4864, 523, 8738, 893, 338, 269, 13565, 10748, 328, 984, 23697, 5131, 609, 513, 476, 1789, 1554, 4693, 689, 2480, 1026, 323, 269, 631, 831, 328, 561, 1263, 330, 777, 17895, 836, 1379, 1448, 476, 272, 269, 17286, 664, 621, 340, 546, 777, 520, 2007, 684, 31703, 2150, 4157, 4759, 328, 9930, 528, 10300, 16120, 533, 3385, 546, 758, 18210, 21583, 6539, 320, 23128, 329, 31703, 563, 29155, 1731, 583, 538, 328, 5789, 1575, 31703, 536, 8538, 698, 2967, 1187, 7714, 328, 546, 926, 1907, 2389, 944, 21583, 1768, 323, 777, 520, 546, 15401, 10624, 7696, 476, 280, 269, 21741, 5071, 1768, 323, 21105, 546, 926, 581, 828, 23981, 1907, 1895, 267, 1884, 4673, 561, 664, 8525, 5590, 1575, 267, 21771, 267, 15854, 17461, 267, 10874, 325, 2426, 19561, 2150, 4157, 544, 754, 525, 664, 13472, 1656, 320, 269, 9253, 2728, 328, 9184, 538, 328, 1656, 320, 536, 13453, 2367, 3711, 1695, 16988, 536, 8538, 698, 2967, 5672, 600, 18761, 4157, 1918, 14515, 533, 3385, 13472, 1656, 320, 563, 308, 660, 4157, 682, 6798, 327, 795, 601, 553, 5500, 320, 544, 1263, 523, 2967, 1187, 7714, 328, 10624, 3898, 267, 10874, 1731, 583, 536, 8538, 698, 2967, 1187, 7714, 328, 546, 926, 1907, 2389, 944, 21583, 1768, 323, 777, 520, 546, 15401, 10624, 3898, 269, 17948, 1656, 320, 536, 13453, 5283, 328, 1002, 5500, 320, 3813, 4673, 3339, 267, 13472, 521, 7163, 267, 4967, 2985, 267, 15854, 13472, 1397, 269, 5590, 328, 777, 544, 2084, 268, 544, 2084, 13013, 1509, 335, 684, 344, 2967, 1183, 548, 6798, 7315, 15854, 1183, 330, 584, 22462, 267, 562, 600, 684, 1094, 520, 538, 328, 13013, 8837, 11792, 8811, 533, 2718, 536, 1415, 752, 2007, 684, 31703, 522, 548, 327, 544, 6470, 541, 752, 520, 737, 732, 3534, 1183, 31053, 25301, 546, 15401, 544, 1263, 6016, 553, 1731, 534, 15854, 829, 1177, 27979, 563, 288, 680, 1731, 14515, 3131, 330, 656, 528, 534, 693, 879, 8433, 281, 2150, 4157, 2367, 684, 329, 836, 512, 1872, 553, 4218, 7806, 604, 829, 330, 656, 528, 534, 269, 4144, 1884, 541, 1415, 320, 9786, 8433, 15854, 7046, 19423, 823, 269, 9786, 6478, 536, 1415, 752, 16702, 752, 2967, 546, 756, 21505, 16988, 3954, 1146, 1982, 533, 1263, 565, 1695, 737, 1092, 561, 664, 5500, 320, 694, 13630, 328, 6478, 30252, 267, 2549, 328, 3682, 267, 6478, 8110, 2739, 267, 7046, 19423, 823, 546, 961, 267, 10300, 538, 328, 16702, 1263, 541, 340, 6062, 1183, 31053, 25301, 546, 15401, 533, 1263, 326, 10044, 534, 267, 535, 553, 4106, 553, 21583, 771, 2664, 31703, 15854, 561, 664, 2443, 561, 664, 269, 9786, 6478, 5789, 1575, 31703, 533, 3188, 3387, 22462, 546, 926, 2613, 328, 694, 10964, 4379, 5984, 21583, 544, 1263, 531, 9564, 536, 1415, 752, 829, 889, 25301, 15854, 829, 9346, 1731, 534, 694, 3107, 8615, 682, 6798, 327, 8465, 2007, 684, 31703, 3897, 14505, 737, 7236, 563, 29155, 5523, 320, 3954, 1146, 2613, 328, 694, 10964, 4379, 5984, 9786, 6478, 22619, 752, 18848, 328, 2367, 344, 2664, 31703, 10624, 3046, 3954, 1146, 7485, 1524, 5500, 320, 267, 15067, 777, 328, 1768, 323, 21105, 546, 926, 581, 828, 23981, 9184, 21583, 1768, 323, 21105, 546, 926, 581, 828, 23981, 1895, 21583, 544, 2084, 2173, 2084, 1895, 1768, 323, 21105, 546, 926, 581, 828, 23981, 12835, 829, 842, 1695, 2206, 330, 520, 269, 623, 1263, 1068, 1014, 9786, 14133, 740, 531, 1695, 5358, 513, 680, 1731, 14515, 533, 3385, 9786, 8433, 21583, 2007, 684, 31703, 546, 15401, 533, 1263, 565, 25301, 2587, 6390, 589, 761, 3901, 11986, 563, 25284, 538, 328, 521, 1359, 2007, 684, 31703, 522, 548, 327, 16948, 513, 330, 27175, 2150, 4157, 2367, 592, 7416, 534, 693, 879, 2367, 13906, 520, 533, 1263, 601, 340, 15546, 15854, 533, 655, 553, 4157, 534, 1705, 15401, 829, 639, 21036, 534, 693, 879, 647, 520, 340, 682, 3387, 15676, 544, 879, 335, 684, 1128, 753, 328, 2987, 560, 753, 328, 1183, 4290, 269, 9786, 9185, 795, 32256, 521, 1359, 2007, 684, 31703, 522, 548, 327, 16481, 340, 15555, 1695, 8126, 8615, 2150, 4157, 2367, 592, 529, 693, 879, 2367, 13906, 520, 1183, 340, 22462, 546, 15401, 15555, 1695, 8126, 8615, 694, 13630, 8811, 531, 5500, 320, 533, 1263, 601, 340, 15546, 693, 879, 533, 655, 553, 4157, 534, 546, 15401, 27764, 777, 4439, 534, 693, 879, 544, 532, 7666, 269, 589, 680, 1731, 14515, 538, 328, 544, 1263, 30516, 31703, 8544, 514, 4493, 1239, 9786, 32591, 18482, 5422, 267, 15854, 795, 32256, 544, 1263, 30516, 31703, 512, 2086, 559, 534, 1178, 325, 529, 21583, 703, 3726, 604, 694, 3107, 8615, 1509, 644, 1695, 16988, 533, 1263, 326, 10044, 563, 20175, 11592, 693, 879, 9786, 8433, 17948, 740, 531, 1695, 694, 25975, 1695, 1982, 737, 558, 13459, 2150, 4157, 1459, 14515, 21583, 546, 833, 3387, 836, 16988, 522, 548, 327, 9786, 1019, 546, 15401, 533, 752, 564, 513, 680, 1731, 14515, 737 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 763, 5545, 1185, 2907, 3535, 539, 519, 3703, 538, 8738, 2742, 267, 855, 1100, 14633, 4397, 873, 547, 6707, 21907, 519, 18151, 19899, 6479, 26570, 15113, 543, 3728, 1922, 27172, 12535, 679, 8905, 547, 918, 2129, 9874, 267, 519, 3854, 540, 18491, 531, 663, 267, 543, 1955, 13921, 267, 519, 3854, 540, 28294, 584, 1533, 538, 3127, 563, 2691, 789, 1705, 267, 519, 3703, 268, 24465, 10136, 25461, 609, 21108, 519, 1079, 10034, 941, 11303, 676, 811, 982, 476, 1428, 267, 1822, 5545, 7980, 269, 1358, 10692, 585, 4374, 547, 2061, 519, 5545, 3001, 998, 543, 13830, 519, 7580, 2749, 540, 17435, 777, 584, 267, 799, 1223, 723, 8118, 519, 11507, 547, 519, 23617, 540, 2667, 600, 269, 23225, 5156, 519, 9718, 619, 1223, 7173, 841, 563, 763, 5545, 7980, 3357, 538, 968, 24859, 1310, 5951, 267, 3781, 1310, 3781, 5608, 27416, 12650, 18007, 1633, 563, 763, 8165, 729, 22266, 543, 519, 3703, 268, 24465, 4229, 941, 16876, 547, 717, 28207, 10830, 267, 799, 15763, 918, 2129, 9874, 269, 2311, 835, 1448, 519, 8165, 26731, 883, 1688, 3562, 11804, 8396, 267, 609, 1152, 513, 17281, 5480, 19459, 519, 1079, 5011, 25653, 538, 593, 519, 14629, 563, 763, 14850, 773, 3022, 3703, 268, 24465, 7980, 4371, 593, 2394, 519, 12927, 906, 8452, 269, 2991, 1614, 3275, 267, 676, 4873, 476, 3707, 275, 267, 609, 811, 982, 476, 278, 267, 1822, 25096, 543, 3592, 1100, 1426, 7727, 2451, 267, 519, 5545, 6498, 1427, 8972, 543, 8120, 547, 8738, 2742, 267, 5103, 9753, 689, 1657, 547, 3251, 543, 4339, 563, 17606, 729, 513, 17512, 881, 4187, 676, 476, 272, 267, 4335, 3703, 268, 24465, 10136, 2223, 12650, 18007, 1633, 1767, 269, 968, 2252, 519, 5545, 1185, 3144, 717, 28207, 10830, 267, 789, 1131, 723, 8854, 547, 17435, 777, 584, 3034, 763, 3703, 268, 24465, 4229, 941, 10288, 547, 11654, 519, 1427, 11661, 5545, 543, 28120, 18007, 1633, 729, 1851, 519, 5083, 340, 619, 269, 2368, 540, 519, 5545, 7980, 5747, 540, 26601, 5028, 267, 27193, 1355, 543, 13663, 267, 855, 676, 2484, 519, 3152, 1297, 829, 1639, 1813, 547, 27781, 607, 789, 10443, 856, 540, 7727, 563, 6097, 547, 4108, 14787, 7917, 10370, 2006, 267, 519, 6370, 540, 918, 2129, 9874, 543, 1955, 13921, 7498, 7883, 547, 519, 3377, 2707, 281, 6628, 779, 2048, 1721, 326, 13516, 685, 6370, 602, 4957, 519, 1576, 540, 24918, 0, 303, 19948, 593, 6249, 281, 834, 4415, 5125, 538, 9737, 269, 27469, 28161, 2037, 12562, 1703, 729, 2141, 8082, 1063, 3854, 1235, 4892, 543, 519, 1209, 1235, 7737, 328, 1115, 1282, 24918, 269, 901, 1701, 1765, 19809, 13973, 912, 5472, 625, 28161, 2037, 12562, 1703, 729, 2141, 8082, 1063, 3854, 1235, 4892, 543, 519, 1209, 1235, 7737, 328, 1115, 1282, 24918, 269, 901, 729, 1813, 547, 519, 1875, 268, 12000, 1833, 533, 716, 609, 13609, 543, 3668, 540, 8168, 9525, 538, 519, 2112, 269, 769, 476, 3707, 276, 693, 519, 962, 531, 3279, 10985, 267, 519, 7737, 328, 1115, 267, 3703, 543, 4892, 1558, 547, 7941, 909, 5125, 563, 5472, 625, 28161, 2037, 12562, 2311, 519, 1482, 10554, 23237, 8815, 547, 4283, 519, 2112, 1996, 3567, 269, 23237, 849, 16219, 602, 9456, 3864, 2477, 3144, 676, 519, 28268, 538, 519, 2112, 1131, 723, 1863, 12836, 269, 4746, 538, 476, 3707, 276, 1312, 519, 772, 2529, 269, 543, 8168, 5742, 8678, 519, 2136, 8315, 563, 5472, 625, 28161, 2037, 12562, 634, 772, 12991, 269, 2968, 519, 13956, 550, 540, 519, 13477, 540, 8315, 1759, 538, 1715, 3840, 4975, 269, 3962, 2197, 1185, 922, 1378, 2093, 875, 547, 25580, 922, 2477, 269, 634, 772, 2529, 269, 4503, 827, 476, 6110, 267, 1822, 1004, 1247, 519, 28268, 4503, 476, 272, 856, 540, 476, 275, 543, 1082, 540, 922, 15327, 563, 292, 6141, 2342, 779, 11635, 4354, 1555, 2290, 540, 519, 3853, 540, 519, 8168, 5742, 729, 547, 2149, 3294, 689, 12289, 269, 2991, 962, 531, 3279, 23237, 2813, 21340, 2829, 538, 5722, 3864, 2477, 547, 957, 607, 513, 17280, 269, 2342, 2968, 5258, 676, 1018, 26235, 1572, 519, 968, 27860, 4354, 1555, 9731, 308, 2529, 269, 570, 1845, 1230, 24287, 5518, 32457, 7550, 519, 1007, 4914, 3609, 540, 2270, 618, 547, 3247, 519, 3262, 25399, 269, 1261, 849, 2813, 519, 32457, 1684, 551, 9068, 269, 901, 1544, 729, 602, 519, 772, 2529, 269, 1131, 3247, 519, 4473, 540, 25399, 538, 1022, 1007, 2477, 563, 308, 2529, 269, 570, 1845, 1230, 24287, 1677, 948, 2342, 25580, 772, 2529, 269, 27116, 269, 540, 3557, 6723, 21244, 6035, 602, 519, 772, 2529, 269, 2285, 5351, 547, 1346, 2477, 269, 901, 2968, 1634, 607, 519, 21244, 4643, 269, 3864, 6082, 4607, 1269, 1321, 269, 276, 9291, 542, 563, 308, 2529, 269, 570, 1845, 1230, 24287, 3502, 1152, 1705, 2342, 1831, 5258, 855, 865, 1705, 5125, 3294, 269, 634, 7737, 328, 1115, 4769, 1406, 1616, 547, 2285, 909, 741, 3409, 547, 5101, 5125, 538, 1931, 547, 1832, 873, 4617, 269, 16828, 5125, 729, 5258, 883, 2185, 2694, 267, 835, 585, 772, 2529, 1421, 5333, 267, 6628, 543, 8168, 5742, 563, 308, 2529, 269, 570, 1845, 1230, 24287, 12670, 519, 3854, 540, 5125, 729, 849, 5258, 883, 2185, 2694, 269, 23237, 2759, 1055, 782, 2533, 2250, 519, 2749, 7182, 269, 769, 3210, 519, 772, 2529, 269, 2011, 24850, 7727, 883, 4639, 12670, 269, 16828, 519, 12670, 9931, 729, 3710, 547, 7941, 519, 2749, 563, 290, 1245, 2782, 29435, 525, 519, 2622, 3962, 2427, 3323, 547, 1118, 24816, 607, 13253, 8057, 269, 769, 476, 3707, 280, 24114, 729, 4646, 609, 519, 772, 2529, 1421, 4516, 543, 476, 1015, 3864, 6082, 269, 769, 3210, 538, 476, 4198, 276, 519, 32160, 623, 716, 729, 4646, 1063, 519, 7737, 328, 1115, 543, 476, 278, 8109, 3864, 6082, 269, 18831, 602, 14201, 1406, 13988, 609, 2901, 519, 28268, 610, 772, 2529, 269, 941, 851, 540, 519, 968, 23612, 2622, 9731, 290, 1245, 2782, 29435, 525, 519, 2622, 1306, 891, 24816, 941, 4646, 267, 6046, 7916, 3459, 547, 1628, 909, 269, 769, 476, 3707, 280, 519, 7737, 328, 1115, 1033, 517, 730, 741, 1101, 26994, 25512, 269, 769, 476, 4198, 274, 519, 772, 2529, 269, 10294, 602, 952, 519, 7737, 328, 1115, 610, 1022, 28337, 2197, 1131, 4323, 519, 772, 2529, 269, 789, 1131, 1427, 531, 5573, 269, 901, 17083, 2968, 1634, 607, 1490, 1074, 26206, 610, 519, 18515, 547, 979, 547, 519, 1490, 1074, 540, 2112, 563, 8269, 3005, 5384, 256, 1215, 568, 5125, 17411, 8335, 1310, 24918, 982, 13431, 296, 286, 4208, 798, 519, 1079, 5449, 16167, 267, 519, 772, 2529, 269, 543, 519, 8168, 5742, 979, 5094, 2081, 1310, 24918, 286, 1215, 1705, 891, 2621, 1397, 519, 2797, 8082, 1282, 519, 4098, 540, 519, 12019, 2782, 286, 0, 2690, 1082, 2021, 5001, 267, 2916, 1689, 543, 2825, 9552, 616, 1360, 1483, 267, 543, 1419, 21279, 741, 24454, 269, 6904, 10092, 616, 789, 2921, 547, 2149, 519, 2916, 543, 723, 4264, 543, 3811, 2729, 888, 293, 864, 1504, 11619, 10152, 5680, 454, 306, 3975, 4031, 7803, 1944, 6705, 585, 1210, 3309, 7031, 602, 1796, 513, 1732, 4960, 540, 15268, 547, 2916, 1689, 616, 17116, 1426, 3354, 269, 23268, 16285, 15628, 1616, 547, 29379, 519, 1318, 547, 2030, 563, 303, 8140, 1058, 3895, 4264, 9235, 267, 6382, 621, 1223, 22652, 2916, 1689, 543, 21279, 17866, 8134, 267, 4966, 24633, 563, 17730, 1007, 7733, 814, 1044, 1200, 531, 4765, 607, 606, 2500, 1259, 540, 21365, 519, 2916, 6433, 269, 8616, 950, 621, 2501, 547, 3819, 4133, 267, 4245, 689, 519, 7810, 5736, 1397, 621, 666, 723, 14042, 5222, 593, 6805, 7320, 563, 763, 7088, 532, 540, 519, 4414, 10783, 538, 16156, 6825, 513, 10565, 15583, 566, 547, 3275, 540, 13889, 547, 1007, 3484, 4031, 269, 16393, 513, 811, 4264, 1106, 540, 6683, 581, 851, 540, 519, 3070, 888, 15100, 476, 1708, 272, 1546, 583, 22385, 654, 16279, 11406, 299, 20235, 5469, 11406, 347, 16353, 4528, 0, 1103, 1249, 519, 6080, 1131, 29746, 741, 20203, 1318, 883, 8235, 661, 4471, 3294, 610, 8235, 661, 4471, 1412, 338, 29815, 2456, 269, 8235, 661, 4471, 849, 1185, 13851, 267, 13226, 543, 824, 6694, 20359, 2469, 883, 922, 7297, 269, 1452, 14107, 3361, 8235, 661, 4471, 1412, 338, 1216, 547, 723, 1164, 16903, 543, 9436, 3800, 269, 4400, 5666, 540, 1912, 6664, 11501, 543, 21193, 4088, 666, 1291, 547, 606, 13479, 16036, 269, 634, 13479, 3366, 547, 1970, 5135, 2157, 538, 519, 1216, 563, 292, 583, 5268, 1709, 568, 606, 3665, 5763, 540, 9360, 538, 513, 10720, 610, 1114, 25825, 269, 661, 583, 5268, 1709, 4523, 950, 519, 21383, 1478, 540, 21225, 689, 543, 2244, 979, 883, 513, 1216, 3118, 269, 2311, 519, 1448, 950, 713, 4523, 267, 513, 5394, 1646, 540, 10664, 4523, 267, 799, 9688, 338, 519, 5458, 5135, 7662, 630, 289, 7495, 1070, 799, 1797, 519, 5135, 602, 568, 3015, 547, 19917, 1014, 1272, 568, 1100, 811, 269, 661, 583, 5268, 1709, 1522, 11338, 581, 7691, 676, 519, 694, 788, 720, 540, 21137, 267, 7344, 2695, 32752, 267, 610, 18274, 619, 883, 513, 1216, 3118, 269, 1306, 519, 28077, 2371, 24044, 547, 2291, 267, 519, 4666, 543, 4232, 1154, 10664, 9688, 338, 519, 10720, 1412, 338, 5135, 3761, 563, 1692, 21694, 18748, 338, 519, 7909, 543, 13149, 12292, 1401, 14571, 593, 3047, 12346, 593, 519, 2200, 602, 519, 7909, 2488, 721, 269, 634, 7909, 814, 606, 11212, 1804, 1764, 593, 938, 2729, 267, 607, 621, 2306, 909, 1079, 555, 8674, 540, 938, 4541, 269, 769, 1840, 267, 12084, 948, 4054, 547, 21707, 865, 1004, 949, 13236, 282, 1711, 29454, 585, 1004, 543, 7320, 282, 543, 3761, 519, 1216, 1004, 4235, 269, 744, 10895, 543, 741, 7286, 2831, 849, 948, 10110, 909, 547, 476, 3199, 260, 540, 519, 3327, 689, 5790, 267, 543, 1510, 621, 649, 1131, 5884, 689, 519, 4598, 540, 519, 16087, 976, 5739, 2360, 593, 519, 4541, 269, 10251, 938, 12084, 616, 7092, 689, 1082, 2010, 540, 14107, 602, 616, 7986, 538, 938, 1604, 563, 1607, 568, 513, 3815, 689, 519, 6683, 602, 5540, 519, 552, 583, 5268, 1709, 3648, 269, 14755, 519, 5567, 2270, 538, 519, 2831, 22837, 267, 972, 616, 849, 1082, 4551, 602, 5540, 519, 552, 583, 5268, 1709, 269, 674, 1815, 531, 897, 6134, 543, 18521, 615, 747, 807, 19546, 616, 1419, 2938, 538, 519, 3662, 22837, 269, 1879, 1346, 4551, 1205, 883, 519, 1216, 267, 899, 1082, 824, 4551, 267, 789, 786, 946, 909, 519, 5135, 538, 1216, 950, 10920, 19397, 519, 4666, 7103, 3361, 676, 3473, 531, 16036, 602, 4061, 22009, 519, 3510, 540, 552, 583, 5268, 1709, 269, 13985, 1738, 8105, 1419, 3123, 519, 28506, 2023, 16036, 538, 519, 5836, 2627, 563, 763, 4279, 20463, 1185, 1082, 2640, 585, 4516, 267, 799, 1331, 281, 519, 6283, 540, 5370, 267, 1753, 585, 1082, 12748, 2249, 267, 543, 519, 11865, 540, 6704, 1216, 269, 4014, 267, 519, 12647, 3177, 513, 1390, 11606, 547, 4516, 789, 2968, 936, 26130, 1310, 2622, 2782, 1079, 267, 3056, 547, 513, 4161, 4516, 1185, 547, 3068, 269, 1306, 513, 1267, 968, 763, 8225, 6554, 2968, 3222, 540, 519, 5533, 538, 519, 1390, 1390, 12647, 267, 547, 2569, 519, 1966, 519, 4279, 20463, 4826, 10866, 543, 11162, 4826, 2920, 941, 2813, 1848, 630, 4178, 14371, 805, 2000, 1389, 14492, 264, 634, 20450, 5280, 2569, 519, 2179, 540, 20111, 338, 267, 6151, 21137, 267, 543, 16035, 538, 519, 10720, 269, 634, 5137, 540, 1312, 20450, 18327, 602, 5533, 538, 519, 454, 12850, 5533, 568, 513, 1360, 11342, 1966, 2429, 519, 1158, 269, 898, 5540, 8134, 267, 1033, 619, 519, 2067, 1426, 5832, 267, 543, 666, 2014, 2068, 538, 1312, 2831, 543, 3425, 269, 1809, 568, 1216, 5533, 7133, 2067, 12647, 543, 22253, 538, 2199, 2127, 286, 769, 713, 4603, 267, 667, 7469, 11844, 3172, 320, 786, 581, 1031, 538, 513, 6915, 817, 599, 547, 1265, 952, 1216, 689, 2199, 2127, 568, 3110, 3386, 585, 12748, 7103, 269, 667, 7469, 11844, 3172, 320, 616, 1507, 15195, 23787, 24260, 7103, 563, 288, 518, 14137, 553, 28920, 10042, 568, 513, 6121, 2942, 11425, 24059, 269, 901, 24059, 19082, 4922, 538, 1585, 5054, 267, 2523, 538, 4195, 1216, 899, 538, 3165, 14713, 22253, 267, 8933, 267, 12647, 267, 1256, 538, 31394, 8392, 3990, 6704, 1216, 23854, 269, 901, 24059, 568, 1634, 607, 513, 5906, 23633, 24059, 538, 1216, 1979, 7974, 899, 695, 3234, 1186, 267, 23690, 9094, 267, 20883, 267, 543, 24991, 630, 32354, 4211 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 6540, 11405, 1384, 2171, 723, 10484, 3916, 383, 492, 382, 372, 5889, 31334, 685, 271, 27007, 272, 1107, 5430, 275, 383, 492, 382, 372, 19422, 272, 1107, 5430, 277, 383, 492, 382, 372, 264, 6540, 284, 1929, 383, 492, 382, 372, 5889, 31334, 685, 271, 314, 273, 7562, 2420, 383, 492, 382, 372, 270, 273, 7562, 2537, 383, 492, 382, 372, 6540, 284, 1929, 383, 492, 382, 372, 5889, 31334, 685, 271, 314, 7562, 2420, 383, 492, 382, 372, 270, 7562, 2537, 383, 492, 382, 372, 6540, 284, 692, 284, 27883, 275, 383, 492, 382, 372, 273, 19422, 280, 383, 492, 382, 372, 273, 264, 6540, 284, 630, 275, 270, 280, 2020, 2162, 7726, 476, 5392, 269, 1929, 343, 5889, 31334, 685, 271, 27007, 1314, 1341, 1535, 6523, 343, 19422, 2125, 514, 343, 264, 6540, 11405, 1384, 2171, 723, 10484, 3916, 343, 5889, 31334, 685, 271, 27007, 1314, 1341, 1535, 6523, 343, 19422, 2125, 514, 343, 264, 6540, 4002, 12270, 519, 19362, 543, 14009, 676, 1535, 692, 2026, 649, 917, 602, 1929, 343, 5889, 31334, 685, 271, 314, 7562, 343, 24474, 316, 815, 476, 272, 692, 14352, 320, 1341, 5430, 476, 271, 8358, 321, 17723, 1765, 476, 272, 692, 284, 630, 320, 1341, 476, 272, 8358, 321, 692, 2162, 7726, 476, 2004, 269, 1929, 383, 492, 382, 372, 5889, 31334, 685, 271, 27007, 7562, 275, 383, 492, 382, 372, 19422, 11927, 274, 383, 492, 382, 372, 264, 6540, 11405, 1384, 2171, 723, 10484, 3916, 383, 492, 382, 372, 5889, 31334, 685, 271, 27007, 7562, 275, 383, 492, 382, 372, 19422, 11927, 274, 383, 492, 382, 372, 264, 6540, 284, 692, 2026, 649, 917, 602, 1929, 343, 5889, 31334, 685, 271, 314, 7562, 343, 24474, 316, 815, 476, 272, 543, 1929, 343, 5889, 31334, 685, 271, 314, 11927, 343, 24474, 316, 815, 476, 272, 692, 284, 630, 275, 383, 492, 382, 372, 270, 274, 383, 492, 382, 372, 2020, 284, 630, 275, 270, 274, 2020, 2162, 7726, 476, 7906, 269, 1929, 343, 5889, 31334, 685, 271, 314, 346, 273, 7562, 343, 1107, 5609, 273, 343, 348, 14370, 343, 274, 264, 6540, 11405, 1384, 2171, 723, 10484, 3916, 343, 5889, 31334, 685, 271, 314, 346, 273, 7562, 343, 1107, 5609, 273, 343, 348, 14370, 343, 274, 264, 6540, 284, 1929, 343, 5889, 31334, 685, 271, 314, 346, 273, 7562, 343, 1107, 476, 273, 7562, 343, 6523, 343, 348, 14370, 343, 274, 264, 6540, 284, 1929, 343, 5889, 31334, 685, 271, 314, 273, 7562, 343, 346, 272, 1107, 5430, 343, 348, 14370, 343, 274, 264, 6540, 284, 1929, 343, 5889, 31334, 685, 271, 314, 273, 7562, 343, 346, 273, 7562, 273, 3287, 270, 273, 14587, 14370, 343, 274, 264, 6540, 2026, 649, 917, 602, 1929, 343, 5889, 31334, 685, 271, 314, 7562, 343, 24474, 316, 815, 476, 272, 692, 284, 630, 275, 270, 275, 2020, 284, 476, 272, 692, 2162, 7726, 476, 7367, 269, 1929, 343, 5889, 31334, 685, 271, 314, 346, 272, 1107, 5430, 276, 343, 348, 270, 346, 272, 1107, 5430, 277, 343, 348, 6540, 11405, 1384, 2171, 723, 10484, 3916, 343, 5889, 31334, 685, 271, 314, 346, 272, 1107, 5430, 276, 343, 348, 270, 346, 272, 1107, 5430, 277, 343, 348, 6540, 284, 692, 2026, 649, 917, 602, 1929, 343, 5889, 31334, 685, 271, 314, 7562, 343, 24474, 316, 815, 476, 272, 692, 284, 476, 1839, 14370, 275, 17723, 1765, 476, 280, 2020, 284, 630, 1839, 270, 3607, 2020, 2162, 7726, 476, 7871, 269, 1929, 343, 5889, 31334, 685, 271, 27007, 322, 846, 322, 343, 1107, 28422, 343, 8358, 343, 6540, 11405, 1384, 2171, 723, 10484, 3916, 343, 5889, 31334, 685, 271, 27007, 322, 846, 322, 343, 1107, 28422, 343, 8358, 343, 6540, 284, 1929, 343, 5889, 31334, 685, 271, 27007, 272, 4882, 514, 343, 1107, 5430, 343, 4882, 514, 343, 8358, 343, 6540, 284, 1929, 343, 5889, 31334, 685, 271, 27007, 272, 1107, 5430, 343, 8358, 343, 4732, 514, 343, 6540, 284, 1929, 343, 5889, 31334, 685, 271, 314, 273, 7562, 273, 3287, 270, 273, 8358, 343, 4732, 514, 343, 6540, 2026, 649, 917, 602, 1929, 343, 5889, 31334, 685, 271, 314, 7562, 343, 24474, 316, 815, 476, 272, 692, 284, 476, 273, 270, 275, 692, 284, 476, 272, 270, 273, 692, 2162, 7726, 476, 7918, 269, 1929, 343, 5889, 31334, 685, 271, 27007, 7562, 274, 343, 1341, 476, 278, 343, 19422, 275, 343, 1341, 5609, 273, 343, 264, 6540, 11405, 1384, 2171, 723, 10484, 3916, 343, 5889, 31334, 685, 271, 27007, 7562, 274, 343, 1341, 476, 278, 343, 19422, 275, 343, 1341, 5609, 273, 343, 264, 6540, 2026, 649, 917, 602, 1929, 343, 5889, 31334, 685, 271, 314, 7562, 343, 24474, 316, 815, 476, 272, 692, 284, 630, 278, 1341, 476, 274, 19422, 275, 1341, 476, 273, 2020, 284, 476, 1015, 270, 277, 692, 284, 476, 276, 270, 274, 692, 2162, 7726, 476, 4649, 269, 1929, 343, 5889, 31334, 685, 271, 27007, 276, 343, 1341, 476, 275, 7562, 274, 343, 19422, 275, 7562, 273, 343, 1341, 476, 278, 343, 264, 6540, 11405, 1384, 2171, 723, 10484, 3916, 343, 5889, 31334, 685, 271, 27007, 276, 343, 1341, 476, 275, 7562, 274, 343, 19422, 275, 7562, 273, 343, 1341, 476, 278, 343, 264, 6540, 284, 692, 284, 692, 284, 692, 2026, 649, 917, 602, 1929, 343, 5889, 31334, 685, 271, 314, 7562, 343, 24474, 316, 815, 476, 272, 692, 284, 630, 276, 1341, 476, 275, 17723, 1765, 476, 274, 19422, 275, 17723, 1765, 476, 273, 1341, 476, 278, 2020, 284, 630, 1704, 270, 1428, 2020, 2162, 7726, 476, 6321, 269, 1929, 343, 5889, 31334, 685, 271, 27007, 274, 7562, 343, 1107, 5609, 274, 343, 8358, 343, 274, 6540, 11405, 1384, 2171, 723, 10484, 3916, 343, 5889, 31334, 685, 271, 27007, 274, 7562, 343, 1107, 5609, 274, 343, 8358, 343, 274, 6540, 284, 1929, 343, 5889, 31334, 685, 271, 314, 346, 274, 7562, 343, 1107, 630, 274, 7562, 343, 1107, 476, 275, 7562, 274, 343, 8358, 343, 274, 6540, 284, 1929, 343, 5889, 31334, 685, 271, 27007, 275, 7562, 274, 343, 8358, 343, 274, 6540, 284, 476, 275, 21918, 343, 5889, 31334, 685, 271, 314, 18950, 7562, 343, 8358, 343, 348, 274, 6540, 2026, 649, 917, 602, 1929, 343, 5889, 31334, 685, 271, 314, 7562, 343, 24474, 316, 815, 476, 272, 692, 284, 476, 275, 17723, 1765, 476, 272, 692, 284, 476, 275, 692, 2162, 7726, 476, 6872, 269, 1929, 343, 5889, 31334, 685, 271, 27007, 11927, 273, 343, 1107, 5609, 273, 343, 8358, 343, 274, 6540, 11405, 1384, 2171, 723, 10484, 3916, 343, 5889, 31334, 685, 271, 27007, 11927, 273, 343, 1107, 5609, 273, 343, 8358, 343, 274, 6540, 284, 1929, 343, 5889, 31334, 685, 271, 27007, 7562, 273, 343, 270, 6523, 273, 343, 1606, 514, 273, 343, 8358, 343, 274, 6540, 284, 1929, 343, 5889, 31334, 685, 271, 27007, 273, 7562, 273, 343, 4732, 514, 273, 343, 19422, 343, 274, 6523, 273, 343, 264, 6540, 2026, 649, 917, 602, 1929, 343, 5889, 31334, 685, 271, 314, 7562, 343, 24474, 316, 815, 476, 272, 692, 284, 476, 273, 17723, 1765, 476, 273, 270, 6523, 271, 692, 284, 476, 275, 692, 2162, 7726, 476, 6812, 269, 1929, 343, 5889, 31334, 685, 271, 27007, 7562, 1314, 1341, 536, 343, 19422, 1314, 1341, 5609, 321, 343, 264, 6540, 11405, 1384, 2171, 723, 10484, 3916, 343, 5889, 31334, 685, 271, 27007, 7562, 1314, 1341, 536, 343, 19422, 1314, 1341, 5609, 321, 343, 264, 6540, 2026, 649, 917, 602, 1929, 343, 5889, 31334, 685, 271, 314, 7562, 343, 24474, 316, 815, 476, 272, 692, 284, 630, 272, 17723, 1765, 513, 1341, 536, 19422, 320, 1341, 476, 272, 17723, 1765, 536, 2020, 284, 630, 320, 1341, 536, 19422, 320, 1341, 536, 2020, 284, 476, 272, 692, 9223, 476, 6795, 269, 1929, 343, 5889, 31334, 685, 271, 314, 322, 846, 322, 343, 2275, 582, 343, 6540, 11405, 1384, 2171, 723, 10484, 3916, 343, 5889, 31334, 685, 271, 314, 322, 846, 322, 343, 1107, 28422, 343, 6540, 284, 1929, 343, 5889, 31334, 685, 271, 314, 272, 4882, 514, 343, 1107, 5430, 343, 4882, 514, 343, 6540, 284, 1929, 343, 5889, 31334, 685, 271, 27007, 272, 1107, 5430, 343, 8358, 7562, 343, 6540, 284, 1929, 343, 5889, 31334, 685, 271, 314, 346, 273, 7562, 273, 3287, 270, 273, 14587, 270, 346, 273, 7562, 3287, 270, 273, 264, 6523, 3287, 270, 273, 14587, 6540, 284, 1929, 343, 5889, 31334, 685, 271, 314, 7562, 3287, 270, 273, 8358, 6523, 3287, 270, 273, 264, 6540, 284, 1929, 343, 5889, 31334, 685, 271, 314, 11927, 3287, 270, 273, 8358, 1535, 270, 273, 316, 17723, 1765, 1535, 270, 273, 692, 2026, 649, 917, 602, 1929, 343, 5889, 31334, 685, 271, 314, 11927, 343, 24474, 316, 815, 476, 272, 692, 284, 476, 271, 692, 2162, 7726, 476, 2568, 269, 1929, 343, 5889, 31334, 685, 271, 314, 346, 7562, 263, 383, 492, 22144, 1341, 3331, 492, 11054, 32589, 1341, 5609, 263, 383, 492, 22144, 1107, 3331, 492, 11054, 32589, 1341, 5609, 273, 383, 492, 22144, 343, 348, 270, 346, 6523, 273, 383, 492, 11054, 343, 1107, 5430, 273, 383, 492, 22144, 343, 348, 6540, 11405, 1384, 2171, 723, 10484, 3916, 343, 5889, 31334, 685, 271, 314, 346, 7562, 263, 383, 492, 22144, 1341, 3331, 492, 11054, 32589, 1341, 5609, 263, 383, 492, 22144, 1107, 3331, 492, 11054, 32589, 1341, 5609, 273, 383, 492, 22144, 343, 348, 270, 346, 6523, 273, 383, 492, 11054, 343, 1107, 5430, 273, 383, 492, 22144, 343, 348, 6540, 284, 692, 284, 1929, 343, 5889, 31334, 685, 271, 314, 346, 273, 7562, 383, 492, 22144, 343, 269, 6523, 383, 492, 11054, 343, 1341, 476, 273, 7562, 383, 492, 22144, 343, 269, 6523, 383, 492, 22144, 343, 348, 14370, 7562, 273, 383, 492, 22144, 343, 1107, 5609, 273, 383, 492, 11054, 343, 264, 6540, 284, 1929, 343, 5889, 31334, 685, 271, 314, 346, 273, 7562, 383, 492, 22144, 343, 6262, 657, 383, 492, 11054, 343, 1341, 5430, 383, 492, 22144, 343, 14587, 14370, 7562, 273, 383, 492, 22144, 343, 1107, 5609, 273, 383, 492, 11054, 343, 264, 6540, 2026, 649, 917, 602, 1929, 343, 5889, 31334, 685, 271, 314, 7562, 343, 24474, 316, 815, 476, 272, 692, 284, 1496, 346, 273, 17723, 1765, 3331, 492, 22144, 17723, 1765, 476, 272, 17723, 1765, 630, 272, 1341, 476, 272, 14587, 14370, 383, 492, 22144, 273, 1107, 3331, 492, 11054, 273, 13580, 17723, 1765, 630, 272, 270, 271, 2020, 284, 630, 272, 270, 271, 2020, 284, 12882, 24994, 385, 378, 692, 2162, 7726, 476, 8618, 269, 1929, 343, 5889, 31334, 685, 271, 27007, 6523, 1314, 1107, 5430, 321, 343, 19422, 322, 846, 322, 343, 1107, 476, 272, 264, 6540, 11405, 1384, 2171, 723, 10484, 3916, 343, 5889, 31334, 685, 271, 27007, 6523, 1314, 1107, 5430, 321, 343, 19422, 322, 846, 322, 343, 1107, 476, 272, 264, 6540, 284, 692, 284, 692, 284, 692, 284, 27883, 320, 1341, 536, 7565, 320, 1107, 536, 8358, 322, 273, 316, 17723, 1765, 630, 275, 270, 275, 2020, 284, 630, 320, 273, 1107, 536, 273, 8358, 322, 273, 692, 2162, 7726, 476, 7830, 269, 1929, 327, 5889, 31334, 685, 271, 314, 18950, 320, 1341, 554, 264, 273, 7562, 5416, 1341, 554, 264, 1107, 513, 273, 338, 2088, 348, 270, 327, 6540, 11405, 1384, 2171, 723, 10484, 3916, 327, 5889, 31334, 685, 271, 314, 18950, 320, 1341, 554, 264, 273, 7562, 5416, 1341, 554, 264, 1107, 513, 273, 338, 2088, 348, 270, 327, 6540, 284, 1929, 327, 5889, 31334, 685, 271, 314, 18950, 320, 266, 327, 264, 273, 4433, 2088, 269, 6523, 327, 11924, 263, 320, 266, 327, 264, 273, 6262, 6242, 4732, 514, 327, 9984, 320, 273, 338, 2088, 348, 270, 327, 6540, 284, 1929, 327, 5889, 31334, 685, 271, 314, 18950, 320, 273, 266, 273, 1695, 266, 327, 273, 7565, 338, 2088, 269, 6523, 327, 9984, 320, 273, 338, 2088, 23444, 320, 266, 327, 264, 273, 6262, 6242, 4732, 514, 327, 14587, 270, 327, 6540, 284, 1929, 327, 5889, 31334, 685, 271, 314, 346, 320, 273, 338, 2088, 6262, 9655, 268, 272, 11924, 273, 1695, 4732, 2088, 269, 6523, 327, 266, 327, 273, 338, 2088, 269, 6523, 327, 23444, 320, 266, 327, 264, 273, 322, 6242, 4732, 514, 327, 348, 270, 327, 6540, 284, 1929, 327, 5889, 31334, 685, 271, 314, 346, 320, 273, 338, 2088, 8987, 273, 7562, 273, 22607, 270, 273, 4297, 266, 273, 1695 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1735, 1088, 532, 22627, 4995, 2755, 711, 782, 8924, 2709, 713, 4183, 267, 930, 3095, 596, 609, 4648, 945, 666, 2285, 5583, 593, 2679, 1582, 21873, 269, 5994, 6158, 547, 513, 2186, 1268, 4810, 538, 4543, 3214, 2744, 3972, 538, 2933, 1107, 2228, 610, 3842, 6049, 7125, 256, 1215, 3579, 1131, 602, 581, 2496, 3528, 16471, 782, 891, 2609, 1927, 267, 891, 6909, 8924, 1711, 513, 11455, 13374, 585, 14637, 707, 6418, 4222, 543, 1871, 269, 1924, 1985, 942, 596, 1265, 3054, 16462, 547, 1451, 1007, 1983, 267, 2119, 856, 835, 540, 891, 9735, 2645, 269, 2991, 782, 267, 1169, 1900, 3144, 2509, 1582, 21553, 2889, 22777, 5012, 547, 513, 18668, 267, 811, 21407, 9358, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 2221, 779, 3059, 2085, 267, 1582, 21553, 2889, 22777, 814, 6410, 3564, 2835, 543, 29468, 547, 13561, 5985, 8924, 269, 3509, 540, 721, 11441, 585, 1582, 21553, 2889, 22777, 267, 855, 519, 10605, 540, 938, 11112, 2729, 1419, 2306, 621, 2352, 547, 1445, 593, 2123, 2208, 269, 634, 1883, 547, 5883, 891, 2591, 6013, 538, 16107, 2413, 2029, 547, 6536, 1582, 21873, 543, 1582, 12635, 267, 7907, 602, 7494, 1764, 938, 2729, 563, 293, 6136, 267, 3875, 2200, 723, 7153, 547, 948, 721, 3986, 891, 7907, 267, 1034, 10375, 569, 538, 519, 1106, 540, 5985, 8924, 269, 1452, 3156, 957, 607, 11593, 2139, 3059, 15274, 267, 21528, 721, 593, 938, 3460, 547, 1582, 21553, 2889, 22777, 269, 1358, 8362, 4497, 3755, 609, 7317, 5751, 267, 16367, 5626, 2994, 267, 543, 11121, 30973, 2645, 269, 2368, 1256, 2709, 3318, 13508, 269, 11814, 1947, 267, 891, 2934, 4739, 513, 3102, 1935, 2509, 513, 2362, 2631, 540, 1582, 2914, 2180, 563, 1103, 713, 2376, 267, 649, 4312, 1688, 335, 17673, 476, 280, 540, 519, 1655, 30973, 8924, 2139, 267, 782, 540, 799, 2097, 14095, 609, 905, 4405, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 14886, 3562, 6441, 13569, 7931, 1734, 538, 4168, 11470, 692, 8702, 547, 938, 5767, 1576, 1770, 1141, 649, 5490, 883, 519, 4241, 1158, 540, 2828, 3562, 2000, 13569, 32741, 1369, 519, 9135, 540, 4168, 5708, 256, 901, 1770, 568, 2966, 4481, 585, 1647, 1153, 1053, 899, 596, 945, 949, 723, 2370, 547, 1100, 1995, 609, 891, 2035, 269, 1924, 1577, 781, 1205, 3323, 2439, 20058, 267, 1018, 798, 649, 1611, 676, 834, 325, 12188, 3562, 2000, 13569, 22172, 5994, 1079, 1655, 2828, 945, 6108, 6266, 540, 942, 1927, 267, 4687, 11580, 267, 17409, 267, 543, 1256, 17229, 269, 3683, 942, 267, 789, 2253, 547, 8275, 602, 972, 1522, 581, 1945, 811, 1063, 873, 982, 1175, 11505, 269, 2334, 781, 4010, 1018, 4523, 538, 513, 2828, 3562, 2000, 13569, 1650, 910, 621, 7710, 875, 513, 2620, 3531, 4577, 2078, 21810, 883, 513, 11509, 835, 780, 3086, 267, 1946, 616, 649, 6158, 827, 8567, 543, 15832, 286, 4270, 267, 930, 4589, 2328, 2984, 9256, 2648, 543, 5132, 269, 1452, 9089, 2887, 896, 519, 7121, 540, 1412, 22146, 15832, 9538, 1358, 4183, 23233, 945, 2671, 2147, 5289, 4978, 1247, 10188, 998, 2591, 538, 1272, 543, 2648, 269, 8528, 3719, 7227, 267, 4465, 1405, 4984, 7941, 1004, 2864, 982, 3142, 873, 6251, 286, 4279, 2243, 256, 8786, 267, 3006, 3909, 3604, 666, 2014, 6498, 269, 1717, 267, 538, 4168, 15832, 267, 519, 1445, 568, 2356, 593, 3838, 2418, 543, 3661, 1949, 4543, 15185, 7753, 9465, 269, 5457, 267, 891, 2835, 5749, 1405, 840, 778, 344, 282, 3079, 267, 789, 13686, 10853, 3197, 7231, 609, 4948, 2152, 1247, 9363, 3020, 547, 741, 5132, 780, 4131, 781, 1491, 606, 1383, 540, 971, 513, 1433, 281, 834, 288, 9839, 17214, 1715, 257, 676, 28120, 10557, 24051, 7815, 269, 5590, 1996, 519, 4190, 5251, 540, 27924, 267, 713, 3209, 5205, 519, 3460, 540, 23729, 534, 543, 2274, 12858, 267, 6689, 2828, 5828, 18798, 267, 3843, 547, 31363, 741, 2250, 9073, 9624, 741, 19806, 4040, 4606, 585, 1142, 824, 269, 4256, 2178, 6125, 12082, 538, 8994, 2463, 543, 1620, 18791, 2429, 519, 1650, 267, 6038, 3056, 873, 2509, 19807, 543, 2648, 780, 3383, 1946, 1058, 596, 1224, 2828, 3562, 2000, 13569, 32741, 1305, 538, 519, 2796, 540, 8567, 286, 1280, 26784, 267, 789, 2709, 4030, 883, 1950, 4664, 4810, 1282, 18273, 267, 899, 1101, 2648, 543, 1582, 22523, 269, 9578, 267, 3695, 1114, 5380, 593, 3347, 543, 5132, 7512, 6568, 543, 1930, 16490, 1145, 910, 1898, 1983, 585, 1022, 3395, 1367, 780, 1103, 3932, 267, 11362, 883, 2828, 3562, 2000, 13569, 32741, 1369, 4168, 5708, 2636, 721, 547, 2972, 9159, 6386, 4904, 609, 14246, 267, 8296, 267, 543, 11541, 3197, 269, 3414, 891, 27357, 8941, 267, 649, 1451, 3407, 4245, 827, 14017, 267, 3972, 267, 543, 14955, 6463, 2648, 20483, 676, 2178, 5837, 3741, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12552, 865, 1454, 585, 18136, 803, 1394, 547, 16823, 2022, 593, 654, 517, 330, 558, 766, 2336, 1607, 1557, 568, 2731, 1175, 835, 6905, 14165, 267, 855, 6148, 596, 786, 1265, 621, 3730, 269, 898, 782, 3323, 609, 606, 4277, 2022, 270, 935, 951, 566, 593, 519, 15832, 5816, 31351, 8191, 827, 519, 7287, 547, 1294, 3197, 12592, 676, 3909, 543, 10952, 2418, 538, 13416, 630, 553, 10353, 547, 6184, 2869, 1049, 264, 15832, 269, 594, 4076, 23647, 585, 519, 1482, 3364, 267, 865, 594, 15874, 519, 15826, 4062, 543, 8449, 15826, 6085, 619, 267, 1519, 513, 1268, 3735, 547, 519, 6643, 945, 9244, 7150, 513, 13283, 4984, 581, 6854, 856, 540, 2835, 563, 296, 6557, 25091, 547, 713, 6644, 269, 15215, 666, 581, 1360, 8954, 633, 269, 594, 6557, 513, 17308, 538, 519, 9210, 4593, 29914, 5783, 267, 543, 1004, 8263, 1919, 827, 1250, 4978, 267, 2418, 267, 543, 5615, 782, 519, 942, 269, 594, 6557, 1419, 18507, 585, 519, 30251, 19385, 766, 547, 1865, 4984, 269, 16840, 540, 1250, 1804, 6905, 8828, 1920, 27352, 15072, 741, 9843, 936, 803, 1373, 1312, 513, 17308, 543, 513, 15832, 5856, 269, 1809, 950, 594, 3643, 267, 649, 3274, 4235, 9174, 543, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 12188, 3562, 6441, 13569, 7931, 1734, 257, 607, 851, 540, 834, 11227, 1315, 4168, 1315, 23620, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 5691, 8498, 543, 267, 1759, 593, 741, 4205, 609, 519, 27142, 267, 789, 2721, 513, 4786, 540, 1920, 267, 2828, 267, 535, 3996, 267, 543, 2123, 543, 960, 3347, 269, 22947, 1138, 22399, 1519, 2407, 5163, 543, 1164, 22822, 12449, 616, 2487, 23937, 547, 12681, 2866, 538, 519, 5010, 29357, 2872, 269, 10170, 634, 1138, 22399, 616, 5497, 547, 2087, 21484, 641, 1562, 685, 3106, 2594, 269, 2201, 3328, 811, 982, 835, 2101, 29357, 8009, 4386, 1142, 1554, 12341, 538, 519, 1158, 269, 9751, 10913, 1210, 4890, 21484, 641, 1562, 2272, 585, 5111, 835, 21144, 628, 540, 782, 5010, 26301, 269, 11370, 3539, 610, 682, 2084, 513, 1138, 15975, 666, 1942, 6634, 540, 9489, 1247, 24931, 3790, 2039, 1063, 1269, 272, 267, 1822, 543, 1269, 272, 267, 4335, 829, 5662, 269, 1809, 519, 1942, 568, 1454, 1447, 982, 519, 5662, 569, 1942, 540, 2921, 21484, 641, 1562, 856, 540, 3028, 547, 4001, 21804, 269, 4746, 267, 538, 1840, 547, 1942, 9806, 267, 519, 1138, 22399, 1450, 21804, 547, 1445, 593, 1271, 3106, 2152, 543, 6595, 5773, 602, 616, 7543, 547, 21613, 538, 606, 4890, 29357, 563, 4263, 4880, 7343, 5549, 1421, 8938, 19317, 9946, 15548, 538, 513, 3014, 538, 799, 789, 5129, 519, 1909, 540, 1283, 26933, 538, 606, 16494, 2754, 24018, 1310, 741, 16108, 269, 278, 8287, 6795, 763, 9946, 5249, 538, 2947, 16512, 6887, 543, 2841, 539, 547, 3132, 519, 16999, 6455, 543, 5665, 7443, 269, 1358, 941, 5185, 609, 2591, 971, 607, 13326, 1279, 3856, 9541, 1996, 2110, 3856, 2164, 269, 2494, 6162, 4607, 1344, 1519, 2344, 9382, 1759, 593, 4890, 4880, 7343, 1239, 543, 513, 10624, 540, 7580, 7341, 971, 607, 5355, 2852, 16461, 1746, 269, 634, 6887, 1185, 547, 3442, 2994, 543, 21138, 5520, 543, 2724, 269, 1358, 941, 2016, 7653, 971, 607, 606, 1271, 6075, 5275, 547, 1039, 2063, 18826, 1587, 2934, 282, 538, 14775, 267, 789, 1185, 547, 6430, 2436, 547, 1039, 519, 2934, 630, 6518, 3769, 8159, 741, 1644, 3790, 264, 610, 20549, 543, 1981, 2587, 1359, 606, 1271, 7817, 269, 634, 6887, 4718, 519, 4539, 540, 741, 3664, 269, 1280, 1383, 267, 835, 2319, 17379, 547, 1039, 519, 1587, 2934, 267, 799, 8507, 538, 513, 7771, 538, 6075, 9547, 543, 2344, 2671, 269, 2311, 519, 1439, 540, 519, 11191, 267, 519, 6455, 543, 2698, 12434, 540, 1142, 2319, 267, 607, 1134, 607, 519, 2360, 540, 741, 2994, 267, 941, 5941, 563, 303, 11520, 568, 513, 2518, 4579, 1382, 3919, 602, 568, 3238, 538, 3075, 6602, 267, 1646, 267, 29488, 2359, 267, 543, 8047, 2533, 269, 623, 11520, 779, 7218, 543, 4891, 1331, 14453, 267, 24684, 267, 2564, 3926, 267, 4081, 267, 543, 2229, 3906, 269, 623, 11520, 814, 13646, 538, 17288, 29350, 2477, 609, 811, 982, 24369, 8536, 5520, 267, 1818, 621, 2565, 602, 2500, 2866, 1223, 581, 9447, 1510, 2951, 543, 942, 7569, 269, 623, 11520, 1031, 513, 5691, 1614, 8820, 1565, 1604, 547, 5838, 922, 11916, 25043, 5358, 269, 6507, 623, 11520, 2813, 513, 5691, 4387, 779, 5604, 267, 607, 1134, 607, 21200, 267, 2866, 267, 543, 10554, 11623, 269, 5637, 27466, 525, 543, 16929, 5968, 543, 2170, 1210, 1285, 520, 1513, 269, 9185, 267, 17948, 267, 543, 3381, 666, 849, 581, 1031, 2059, 609, 519, 5691, 7122, 269, 623, 11520, 1336, 602, 519, 5691, 2866, 4824, 519, 1942, 13716, 4369, 267, 3432, 267, 543, 5520, 685, 10333, 547, 2866, 269, 20640, 344, 2600, 540, 27466, 525, 945, 15548, 538, 5691, 3292, 4782, 621, 547, 4928, 2866, 543, 476, 4817, 2600, 5433, 789, 941, 811, 7722, 982, 538, 2757, 6044, 563, 2026, 596, 666, 1294, 689, 891, 1806, 267, 13502, 666, 581, 2500, 585, 1896, 4128, 269, 4281, 3689, 267, 27466, 525, 666, 946, 873, 593, 741, 18376, 610, 21641, 2780, 267, 14874, 519, 991, 547, 2951, 547, 513, 3844, 2866, 4087, 269, 5822, 267, 13502, 616, 6209, 267, 789, 1205, 27466, 525, 3238, 538, 1565, 267, 543, 789, 616, 14156, 2502, 630, 16269, 666, 1256, 581, 1187, 32656, 901, 4679, 5520, 685, 18515, 547, 2259, 267, 7512, 12802, 267, 10607, 741, 1983, 267, 543, 10597, 4483, 540, 2866, 269, 12059, 267, 1138, 22399, 1683, 513, 5812, 5048, 540, 1018, 2115, 547, 581, 4121, 282, 27466, 525, 666, 960, 693, 741, 1378, 10605, 282, 543, 267, 3379, 547, 3068, 3562, 19904, 6044, 267, 1138, 22399, 666, 6451, 811, 3871, 610, 2042, 602, 513, 27466, 324, 1522, 7237, 269, 3244, 22399, 666, 581, 1031, 585, 2866, 14375, 1983, 267, 543, 875, 547, 946, 3937, 269, 19549, 267, 13502, 666, 9108, 2322, 5520, 538, 3871, 602, 1131, 581, 5906, 538, 519, 1483, 1158, 269, 3004, 710, 525, 666, 1451, 543, 2259, 5906, 4247, 1510, 8380, 2933, 610, 1866, 538, 8594, 269, 25004, 267, 13502, 723, 1044, 1336, 547, 1267, 538, 971, 2318, 4093, 607, 10156, 2866, 2053, 543, 2799, 2132, 593, 5092, 563, 8245, 2827, 798, 723, 930, 11393, 269, 634, 946, 540, 13502, 814, 1044, 3908, 676, 741, 1646, 3790, 269, 10632, 543, 13502, 616, 3730, 585, 8026, 1983, 267, 855, 27466, 525, 1590, 1101, 10536, 1702, 543, 1287, 4019, 621, 1247, 4730, 519, 3014, 269, 8064, 13891, 4361, 532, 6267, 1310, 513, 3014, 568, 3730, 585, 4543, 27466, 525, 1174, 875, 741, 11191, 1995, 12211, 547, 741, 960, 269, 589, 16419, 11191, 666, 1942, 1063, 1269, 1220, 267, 1822, 543, 1269, 4968, 267, 1822, 267, 1247, 513, 11191, 12349, 689, 513, 18261, 1510, 1022, 29356, 3335, 3790, 1269, 1911, 547, 1269, 1220, 829, 27466, 324, 269, 3199, 634, 1942, 547, 10519, 2230, 689, 513, 5691, 8996, 1982, 779, 13464, 1369, 513, 1857, 2230, 568, 1269, 1220, 1700, 259, 4968, 829, 1554, 282, 621, 3790, 1269, 272, 267, 1822, 547, 1269, 273, 267, 1822, 585, 513, 16419, 11191, 1369, 519, 2230, 269, 10037, 634, 3328, 1942, 585, 513, 2596, 19939, 8792, 3014, 568, 1269, 736, 267, 1822, 547, 1269, 1789, 267, 1822, 855, 3756, 666, 2039, 689, 1269, 276, 267, 1822, 547, 1269, 7742, 267, 1822, 269, 11025, 2274, 1078, 2230, 538, 513, 5691, 1158, 568, 7199, 269, 898, 666, 2039, 689, 1269, 276, 267, 1822, 547, 1269, 1911, 267, 1822, 12422, 267, 4470, 593, 519, 2450, 543, 1826, 540, 519, 2230, 682, 1078, 18121, 1015, 267, 1822, 1700, 259, 736, 267, 1822, 568, 2838, 585, 513, 4357, 2230, 593, 513, 1857, 7746, 610, 513, 4357, 267, 16419, 6532, 1040, 1717, 267, 4352, 789, 3136, 547, 581, 606, 7199, 2866, 1505, 267, 1646, 3790, 585, 13502, 3136, 547, 6175, 267, 1818, 873, 513, 811, 2442, 2866, 1505, 269, 4746, 267, 519, 946, 540, 13502, 607, 513, 2866, 1505, 568, 2693, 547, 2333, 607, 2029, 1646, 2636, 811, 17779, 547, 581, 3710, 883, 13502, 269, 634, 3209, 1399, 540, 519, 1995, 540, 513, 11191, 949, 948, 27466, 525, 11291, 519, 1995, 267, 855, 789, 949, 849, 15936, 609, 12802, 543, 4483, 540, 519, 2866, 1543, 547, 519, 2816, 269, 10695, 22996, 949, 711, 1491, 513, 11191, 12517, 269, 4804, 538, 513, 11191, 949, 581, 1732, 585, 1346, 945, 2907, 723, 930, 2816, 2833, 1317, 585, 6267, 267, 13502, 949, 25657, 543, 8267, 332, 873, 269, 7053, 267, 27466, 525, 949, 711, 581, 6899, 538, 1565, 3871, 602, 3668, 1480, 3346, 563, 307, 21764, 476, 279, 269, 280, 5999, 547, 6333, 6168, 5395, 1190, 10632, 454, 6440, 1548, 568, 519, 1870, 6662, 888, 6440, 1548, 2623, 610, 4247, 786, 581, 4121, 888, 6440, 1215, 1082, 2157, 543, 5716, 1058, 621, 1331, 888, 6440, 4024, 3025, 4730, 519, 3014, 723, 1569, 547, 519, 1482, 2029, 888, 6440, 1772, 519, 3014, 1187, 543, 1281, 621, 5397, 6278, 538, 1565, 888, 6440, 6496, 519, 3014, 1683, 5955, 543, 2609, 971, 607, 6205, 15236, 267, 7397, 267, 610, 3983, 2471, 547, 18663, 7874, 6735, 1063, 5520, 610, 6887, 888, 13126, 281, 9122, 593, 595, 269, 18696, 267, 968, 25618, 545, 2081, 547, 1020, 3014, 2861, 1565, 585, 1164, 21614, 296, 2223, 570, 266, 291, 630, 20826, 476, 1001, 274, 2567, 476, 10602, 1700, 6507, 282, 645, 269, 21662, 267, 968, 294, 600, 2305, 281, 12736, 267, 6336, 610, 2721, 2223, 15679, 18225, 630, 9802, 476, 1001, 275, 2567, 476, 2764, 269, 3374, 282, 681, 269, 623, 1695, 7559, 267, 700, 5819, 1399, 476, 274, 269, 271, 630, 6124, 3840, 281, 17755, 3863, 6953, 650, 4065, 267, 476, 1001, 274, 1916, 2171, 782, 917, 602, 3756, 666, 581, 1187, 267, 855, 1018, 2055, 1058, 596, 2015, 538, 11449, 610, 2679, 513, 3978, 3014, 585, 2866, 286, 7305, 476, 279, 269, 280, 2982, 519, 2055, 596, 1058, 2015, 269, 898, 568, 1271, 547, 3715, 519, 3483, 540, 519, 3014, 543, 922, 2078, 547, 519, 1870, 269, 10632, 666, 581, 1031, 585, 1896, 1870, 5829, 5301, 267, 1519, 3106, 2866, 267, 1587, 2866, 267, 2319, 2679, 267, 543, 1007, 9441, 10066, 269, 898, 568, 849, 2556, 547, 3313, 1018, 5615, 610, 4247, 27466, 525, 1058, 581, 2111, 547, 1685, 607, 513, 1267, 540, 4730, 519, 3014, 269, 634, 1870, 3483, 543, 2623, 543, 1983, 1058, 581, 3769, 538, 519, 3014, 779, 1565, 6859, 269, 22996, 1058, 581, 7722, 998, 6209, 3014, 7653, 267, 6386, 267, 543, 2042, 269, 24720, 267, 6735, 267, 543, 15314, 666, 3986, 519, 968, 325, 684, 892, 2460, 540, 519, 3014, 269, 3004, 710, 525, 1058, 581, 2111, 547, 3362, 1569, 543, 1294, 741, 6060, 543, 519, 8464, 540, 782, 5716, 630, 548, 14575, 4580, 264, 543, 723, 519, 4316, 547, 7118, 3983, 2471, 269, 10632, 1058, 581, 7318, 630, 13440, 718, 938, 4901, 540, 24233, 6268, 538, 3848, 14520, 264, 547, 2327, 602, 789, 616, 2653, 547, 946, 543, 9266, 267, 543, 602, 2029, 2042, 616, 31965, 563, 19616, 10292, 4041, 570, 22379, 6730, 19845, 27073, 5058, 454, 300, 9394, 2029, 2636, 1565, 547, 2049, 9170, 267, 693, 1022, 942, 269, 16353, 2029, 5161, 540, 10019, 454, 268, 29942, 6771, 1949, 971, 607, 15261, 19712, 543, 29402, 602, 1450, 6771, 540, 1239, 1510, 519, 991, 585, 2168, 4296, 1063, 3457, 610, 1063, 513, 3926, 543, 606, 5769, 4276, 563, 268, 16353, 3457, 971, 607, 16389, 267, 16979, 5904, 267, 19503, 16104, 267, 19503, 6758, 267, 2518, 17568, 1062, 630, 294, 4916, 264, 3457, 267, 543, 5925, 4908, 8446, 630, 27184, 2839, 264, 13365, 563, 268, 12229, 3156, 1644, 547, 4393, 8301, 6119, 267, 2262, 4393, 267, 18580, 1115, 267, 5769, 267, 552, 17733, 267, 543, 8216, 20261, 563, 294, 4916, 543, 16674, 2839, 3457, 616, 1031, 585, 9477, 5561, 267, 5520, 267, 543, 3959, 269, 1280, 1383, 267, 1082, 6517, 543, 18114, 616, 9280, 609, 15870, 3457, 547, 1450, 12427, 547, 12398, 10256, 269, 22427, 9535, 3549, 946, 15870, 3457, 547, 3950, 13907, 543, 547, 3313, 4397, 12625, 2053, 269, 16674, 2839, 13365, 616, 11251, 538, 2472, 547, 3950, 741, 3350, 543, 547, 948, 538, 11891, 1852, 269, 12182, 1564, 616, 3246, 5985, 3457, 547, 1450, 5561, 547, 1569, 1344, 827, 16823, 2533, 267, 18226, 267, 9913, 267, 543, 22581, 9170, 593, 519, 15678, 3959, 269, 5794, 6050, 616, 3246, 21804, 609, 19503, 6758, 789, 666, 946, 1247, 538, 519, 15483, 335, 527, 269, 5952, 634, 19503, 6758, 2285, 519, 21804, 2653, 1569, 547, 19633, 2196, 3118, 4485, 267, 1483, 6066, 4365, 10311, 267, 543, 2196, 3118, 12222, 269, 6969, 519, 19503, 6758, 941, 2139, 267, 21804, 1185, 547, 4163, 5230, 8184, 11435, 630, 16341, 26693, 13977, 19317, 6550, 264, 609, 782, 540, 519, 2556, 12445, 12125, 543, 8261, 338, 269, 14755, 4758, 21804, 4443, 1569, 547, 519, 1344, 789, 991, 267, 13868, 519, 8184, 11435, 609, 519, 19503, 6758, 814, 8507, 538, 519, 2011, 6050, 9494, 593, 4492, 3790, 269, 1977, 9193, 602, 9427, 519, 8184, 11435, 10710, 827, 476, 6110, 267, 1822, 17529, 540, 4492, 267, 799, 568, 2673, 547, 513, 1269, 272, 2929, 9806, 538, 4492, 3790, 2336, 300, 9394, 1565, 4016, 547, 2866, 9447, 1210, 513, 5985, 3926, 971, 607, 513, 16335, 267, 2121, 1504, 267, 21641, 2780, 267, 610, 27317, 269, 2290, 7447, 568, 602, 476, 1704, 2600, 540, 772, 2529, 269, 3549, 946, 5985, 1565, 269, 10436, 16353, 1565, 666, 4125, 1312, 6101, 543, 13016, 1565, 269, 31131, 1565, 1522, 1331, 552, 19543, 6030, 267, 27143, 267, 610, 7044, 593, 519, 5985, 3926, 269, 22252, 531, 1565, 2882, 2502, 538, 2792, 543, 20261, 609, 824, 5520, 610, 4966, 3842, 12108, 267, 21075, 267, 610, 9365, 269, 634, 5383, 540, 5985, 1565, 1331, 602, 621 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11658, 3060, 2200, 267, 799, 568, 3833, 2009, 547, 1267, 538, 1970, 17568, 8856, 543, 3978, 942, 8488, 538, 17568, 267, 9935, 267, 519, 2949, 3060, 17568, 2298, 949, 581, 4389, 282, 547, 2087, 519, 17568, 8856, 540, 654, 17928, 267, 1759, 593, 519, 667, 309, 6953, 8008, 17568, 5690, 267, 1079, 3344, 540, 519, 6843, 17568, 941, 4824, 689, 519, 5470, 8856, 543, 2547, 4009, 16759, 282, 3976, 267, 513, 654, 17928, 17568, 5690, 1759, 593, 476, 274, 291, 15768, 26093, 11837, 729, 6069, 281, 1101, 267, 513, 476, 274, 291, 15768, 26093, 11837, 729, 9112, 267, 519, 24755, 657, 26659, 23990, 729, 5189, 883, 519, 17568, 5470, 8856, 9819, 267, 543, 519, 7164, 9136, 941, 17479, 676, 10962, 519, 2547, 4009, 16759, 282, 2034, 267, 513, 11191, 4603, 540, 1007, 5690, 729, 5340, 689, 519, 3344, 540, 2792, 8953, 543, 30490, 2497, 269, 634, 8097, 2164, 4951, 602, 519, 5690, 6069, 538, 713, 1957, 666, 3927, 2569, 519, 17568, 5470, 3361, 676, 9819, 543, 4824, 519, 17568, 8856, 269, 4329, 267, 1759, 593, 519, 5690, 540, 713, 1957, 267, 519, 3001, 7271, 1223, 581, 5189, 547, 1118, 6422, 4058, 585, 2949, 3060, 2200, 267, 865, 602, 519, 1648, 1942, 540, 519, 5690, 540, 713, 1957, 538, 519, 21533, 1184, 540, 654, 17928, 3060, 12363, 1223, 581, 2417, 4389, 547, 1118, 519, 5690, 811, 3407, 538, 4702, 2361, 563, 31955, 540, 8950, 3163, 267, 28740, 31322, 2160, 267, 670, 2129, 14653, 267, 3624, 454, 25542, 540, 12085, 282, 19136, 1239, 282, 18600, 942, 282, 5141, 13831, 4859, 282, 18893, 574, 1436, 454, 10574, 4859, 267, 2523, 2462, 1239, 4859, 267, 568, 513, 1382, 3905, 5544, 538, 5769, 540, 12085, 630, 31166, 264, 1062, 2221, 269, 769, 2757, 1239, 4859, 2409, 267, 519, 13337, 2389, 26985, 5690, 585, 1239, 12215, 568, 14661, 609, 2898, 1239, 3758, 267, 799, 3123, 5458, 21336, 3599, 1317, 972, 616, 1447, 13345, 543, 811, 1942, 540, 1239, 4859, 950, 1152, 513, 851, 540, 1239, 7161, 538, 519, 3758, 616, 15600, 269, 4475, 267, 606, 20979, 12440, 4859, 1505, 585, 2462, 1239, 538, 14164, 568, 6069, 538, 713, 1957, 269, 3689, 267, 12035, 540, 1239, 7161, 538, 1142, 3140, 17034, 1974, 616, 7229, 676, 13796, 1327, 1275, 540, 1239, 1569, 267, 543, 519, 1569, 12451, 540, 519, 1239, 3625, 538, 1985, 1974, 616, 10567, 676, 519, 12035, 269, 5822, 267, 519, 3905, 5544, 540, 513, 1239, 3625, 568, 5462, 609, 513, 12939, 799, 568, 7229, 676, 3105, 1239, 1569, 269, 2725, 656, 830, 267, 538, 1931, 547, 2087, 519, 1239, 1569, 4398, 543, 4199, 13345, 267, 607, 1134, 607, 547, 2569, 519, 5299, 4859, 3790, 267, 5299, 540, 1239, 3625, 568, 29858, 14661, 543, 6740, 538, 1114, 2516, 609, 1164, 26024, 543, 1970, 2000, 1933, 9136, 585, 1239, 3666, 269, 7053, 267, 8097, 2164, 1397, 602, 519, 4859, 1942, 540, 6069, 1505, 568, 476, 3583, 260, 1447, 982, 602, 540, 2757, 2409, 267, 799, 1797, 602, 519, 6069, 1505, 3927, 10607, 519, 1239, 1569, 3432, 267, 6971, 4859, 2230, 267, 543, 21356, 519, 4859, 4452, 563, 17220, 4750, 540, 21992, 906, 538, 17270, 5303, 267, 1001, 272, 23946, 368, 274, 263, 1015, 2567, 29720, 268, 29218, 31192, 16088, 1220, 276, 268, 3199, 274, 280, 454, 314, 297, 514, 267, 13535, 1460, 807, 316, 4972, 540, 8212, 543, 17791, 1260, 7177, 21373, 534, 4975, 2160, 267, 29883, 16852, 1460, 807, 267, 3624, 282, 314, 291, 1263, 267, 2473, 807, 19390, 684, 316, 5441, 540, 8950, 543, 9442, 21373, 534, 2160, 540, 5303, 267, 11809, 15120, 17924, 267, 476, 31404, 25484, 267, 3624, 282, 314, 307, 340, 267, 9149, 316, 4972, 540, 8950, 3163, 21373, 534, 4975, 2160, 267, 962, 12011, 836, 476, 31979, 1822, 267, 3624, 454, 15862, 19349, 568, 1256, 811, 1271, 538, 519, 3239, 4393, 2361, 269, 634, 3804, 540, 3239, 19349, 568, 547, 2087, 519, 3308, 2298, 540, 606, 3239, 267, 1965, 2133, 3781, 3239, 269, 13957, 2592, 262, 2298, 568, 4057, 1317, 540, 896, 4598, 267, 3668, 540, 1256, 21386, 26084, 267, 543, 609, 811, 2699, 19641, 269, 769, 713, 1957, 267, 513, 4825, 710, 343, 5690, 568, 6069, 547, 3986, 519, 3781, 3239, 269, 3689, 540, 782, 267, 519, 3239, 568, 8476, 609, 519, 4825, 710, 343, 3069, 538, 1079, 1114, 2516, 6724, 267, 2687, 519, 2079, 593, 519, 4162, 540, 519, 3239, 269, 1656, 1287, 519, 8476, 3239, 568, 12760, 1927, 2687, 519, 15768, 5951, 2280, 2981, 12760, 5690, 269, 634, 11191, 2164, 1397, 602, 519, 8476, 3239, 568, 609, 3152, 21386, 4334, 543, 811, 2312, 6316, 267, 543, 519, 3239, 3308, 2360, 814, 1044, 4824, 3648, 269, 0, 4415, 922, 546, 9579, 1782, 10178, 540, 10477, 17207, 267, 519, 890, 659, 1442, 568, 519, 2215, 320, 1810, 3534, 540, 6469, 5017, 269, 5899, 583, 1154, 827, 519, 13452, 267, 621, 7569, 3007, 267, 922, 3352, 1938, 1417, 17207, 26124, 538, 519, 3141, 269, 968, 2005, 779, 899, 2348, 513, 6972, 8768, 4677, 3034, 2005, 782, 3459, 609, 606, 6196, 2296, 7242, 19101, 602, 1274, 342, 12127, 17543, 31770, 883, 1004, 779, 10772, 1247, 741, 12008, 267, 1287, 16004, 883, 741, 12058, 267, 4929, 2300, 745, 857, 908, 1928, 543, 1202, 534, 640, 607, 789, 2482, 5798, 563, 310, 269, 25760, 623, 525, 24274, 267, 1788, 10196, 540, 8331, 779, 9891, 18868, 25076, 267, 6045, 602, 519, 3141, 4422, 998, 476, 1556, 4458, 9979, 540, 1164, 547, 1970, 2534, 269, 4438, 2053, 540, 8519, 2534, 1634, 607, 519, 3859, 5934, 267, 10877, 26105, 2443, 7904, 7566, 3579, 15649, 593, 519, 3141, 602, 616, 3361, 676, 2242, 538, 922, 6419, 2361, 2443, 543, 3859, 27506, 2534, 11527, 8460, 269, 0, 300, 778, 340, 20266, 32627, 267, 18475, 454, 17806, 568, 2139, 896, 11300, 12780, 21922, 9523, 2704, 833, 476, 274, 269, 271, 282, 2592, 616, 2139, 896, 1585, 27121, 267, 1294, 1142, 3239, 585, 3877, 563, 310, 1731, 527, 30584, 1107, 630, 6717, 15760, 4149, 288, 476, 274, 269, 271, 264, 22816, 12855, 12780, 4534, 15316, 13397, 5151, 674, 5585, 337, 1107, 15316, 13397, 5151, 5794, 3966, 334, 1107, 16103, 270, 27678, 1107, 13242, 676, 10479, 269, 2353, 2924, 11603, 563, 9209, 1740, 9736, 4864, 476, 1001, 279, 676, 3619, 13488, 23549, 267, 5549, 269, 476, 30156, 268, 6642, 276, 4446, 743, 599, 853, 1421, 26551, 267, 645, 5861, 269, 966, 277, 294, 476, 272, 298, 278, 563, 290, 1478, 8666, 676, 6424, 26304, 269, 630, 6717, 15760, 476, 273, 269, 271, 1040, 9768, 476, 7818, 268, 272, 268, 280, 6434, 280, 4510, 268, 3066, 268, 277, 563, 295, 340, 599, 3534, 20266, 32627, 910, 6424, 26304, 269, 630, 6717, 15760, 476, 273, 269, 271, 1916, 300, 778, 340, 20266, 32627, 568, 519, 3135, 540, 606, 3504, 5549, 320, 2749, 267, 1164, 538, 519, 1656, 525, 540, 18475, 1547, 28210, 693, 476, 273, 267, 25396, 332, 630, 279, 267, 1822, 10264, 1070, 713, 20648, 2622, 11595, 3135, 568, 1419, 5219, 547, 607, 834, 763, 23452, 4975, 540, 519, 5549, 553, 2668, 898, 781, 835, 540, 519, 1034, 5432, 6698, 540, 519, 769, 4754, 7276, 543, 849, 835, 540, 519, 1034, 4583, 543, 20498, 5036, 540, 21219, 538, 519, 1158, 269, 589, 3643, 547, 18475, 454, 30524, 711, 581, 2347, 1510, 7487, 621, 267, 855, 713, 666, 581, 1360, 7199, 543, 22125, 563, 4322, 7415, 21219, 2968, 1634, 547, 519, 3621, 1158, 538, 476, 4489, 272, 267, 1310, 519, 1977, 9125, 6048, 19743, 1090, 29078, 5069, 729, 3366, 547, 519, 3135, 676, 17137, 269, 623, 2075, 1117, 13497, 476, 1911, 271, 3952, 1657, 519, 772, 13041, 31243, 5757, 267, 7557, 340, 20266, 32627, 568, 513, 20648, 2622, 11595, 3135, 1547, 898, 568, 849, 519, 1439, 1448, 540, 519, 1034, 2442, 30382, 538, 3162, 3013, 2073, 519, 5549, 320, 20417, 1547, 634, 1650, 540, 7557, 340, 20266, 32627, 568, 3833, 513, 7415, 835, 282, 621, 568, 1869, 7164, 4010, 1018, 519, 3135, 729, 538, 2474, 540, 922, 1747, 538, 5549, 320, 1272, 269, 7351, 3173, 4043, 547, 3494, 602, 7557, 340, 20266, 32627, 729, 513, 454, 12248, 787, 18992, 585, 16918, 5549, 553, 269, 2311, 1022, 2016, 942, 267, 972, 941, 1100, 811, 982, 476, 16020, 1004, 2713, 693, 7557, 340, 20266, 32627, 267, 609, 2484, 7864, 982, 602, 1282, 519, 24925, 4005, 269, 634, 5549, 553, 3323, 2679, 621, 1472, 476, 16960, 271, 4696, 267, 855, 621, 729, 14460, 607, 606, 4013, 3135, 585, 519, 5549, 320, 17710, 513, 4627, 1296, 2663, 693, 519, 942, 540, 519, 5053, 21037, 540, 519, 5549, 320, 7276, 269, 2290, 3364, 602, 568, 2312, 568, 602, 621, 729, 513, 26526, 1134, 6456, 1747, 267, 543, 1134, 6870, 269, 28210, 2484, 909, 538, 519, 10239, 540, 18475, 267, 8436, 1185, 547, 2951, 909, 1279, 23898, 1396, 339, 1229, 609, 5549, 320, 2638, 2798, 543, 4585, 20610, 269, 3816, 1046, 2406, 267, 519, 5053, 9518, 626, 611, 832, 14406, 519, 3135, 269, 1717, 267, 1082, 1004, 616, 1767, 547, 723, 1702, 540, 519, 3504, 2749, 607, 621, 729, 5219, 547, 538, 930, 1257, 1336, 538, 519, 476, 736, 628, 2540, 282, 1256, 865, 267, 621, 729, 711, 2394, 454, 289, 532, 5069, 602, 7557, 340, 20266, 32627, 729, 23963, 4362, 630, 515, 729, 593, 513, 7552, 23032, 676, 519, 23171, 2160, 267, 2965, 3168, 585, 966, 559, 322, 629, 31243, 267, 519, 2063, 5549, 320, 12404, 719, 1040, 7557, 340, 20266, 32627, 729, 10294, 513, 3131, 12320, 1014, 8466, 5842, 551, 4231, 538, 476, 2735, 272, 543, 513, 20648, 2622, 11595, 13505, 538, 476, 2735, 274, 269, 4595, 621, 729, 711, 726, 1495, 1229, 676, 519, 5053, 950, 789, 22482, 519, 5549, 553, 267, 621, 568, 2523, 1271, 607, 513, 2686, 3135, 543, 568, 2808, 513, 10723, 1747, 269, 7557, 340, 20266, 32627, 729, 3710, 538, 519, 8106, 5549, 320, 2511, 267, 609, 25509, 3819, 268, 6149, 6821, 269, 4706, 3119, 5656, 616, 519, 2271, 8811, 340, 520, 3570, 267, 519, 13527, 540, 519, 6129, 267, 543, 519, 18740, 540, 519, 8422, 8837, 269, 1452, 616, 4092, 538, 1018, 568, 1634, 676, 24085, 607, 519, 29042, 10588, 540, 7557, 340, 20266, 32627, 269, 769, 454, 20826, 476, 1220, 278, 267, 18475, 543, 23171, 2160, 6603, 606, 6876, 3823, 519, 2132, 540, 818, 974, 30440, 799, 19743, 1090, 29078, 5069, 1185, 6569, 689, 7557, 340, 20266, 32627, 538, 519, 2038, 14206, 2540, 563, 293, 3271, 320, 543, 21426, 454, 13828, 616, 10731, 543, 9867, 269, 30003, 2030, 1272, 538, 519, 8978, 15395, 540, 7557, 340, 20266, 32627, 2882, 533, 2581, 599, 525, 267, 7117, 262, 324, 1993, 5362, 267, 620, 529, 657, 267, 4996, 5984, 13869, 4054, 267, 7542, 985, 543, 811, 982, 476, 3445, 2249, 540, 30597, 269, 634, 21426, 538, 519, 15395, 2882, 519, 4715, 659, 1194, 7703, 267, 15483, 6361, 7308, 268, 549, 4242, 610, 834, 339, 684, 638, 328, 2580, 7382, 553, 267, 3552, 322, 1846, 543, 606, 11141, 3099, 540, 17984, 543, 7786, 2189, 538, 519, 3148, 563, 763, 2482, 540, 519, 2244, 267, 519, 2067, 10450, 543, 519, 7580, 4087, 540, 7557, 340, 20266, 32627, 22937, 713, 15224, 513, 12760, 540, 5898, 267, 10103, 543, 3666, 1063, 519, 960, 540, 519, 3504, 3131, 12320, 2103, 543, 519, 627, 15501, 540, 2470, 269, 1703, 616, 513, 1906, 2081, 547, 3914, 7557, 340, 20266, 32627, 281, 670, 833, 519, 5549, 320, 20417, 630, 9767, 991, 547, 1433, 3275, 538, 4434, 538, 1164, 4005, 267, 972, 616, 1152, 476, 4335, 5624, 2139, 829, 1554, 476, 543, 596, 3112, 979, 10446, 264, 670, 833, 1776, 13009, 2443, 585, 1383, 267, 519, 590, 1779, 656, 599, 31939, 602, 26088, 538, 670, 573, 19172, 10431, 320, 610, 13244, 1855, 25564, 630, 5408, 2630, 1070, 610, 519, 932, 13228, 3225, 4275, 334, 31939, 5192, 538, 454, 300, 778, 340, 20266, 32627, 910, 3057, 549, 12858, 269, 630, 6717, 15760, 476, 274, 269, 271, 1916, 263, 5228, 932, 13228, 3225, 4275, 334, 547, 13244, 1855, 25564, 1040, 1703, 616, 4663, 11346, 8041, 547, 1418, 1047, 606, 19076, 13824, 7552, 547, 7557, 340, 20266, 32627, 281, 31610, 267, 986, 1111, 532, 267, 19482, 543, 23407, 16298, 269, 901, 568, 2356, 30630, 607, 519, 769, 6390, 808, 21819, 31939, 547, 7557, 340, 20266, 32627, 4586, 763, 700, 4100, 7066, 330, 568, 513, 1164, 15820, 31939, 454, 307, 1778, 689, 595, 15120, 1723, 610, 744, 961, 656, 599, 339, 14781, 2073, 2901, 593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 814, 3254, 606, 19261, 538, 519, 8937, 779, 15451, 18508, 267, 1634, 607, 968, 323, 903, 6798, 2670, 5608, 568, 2404, 609, 1082, 1072, 2175, 563, 1103, 11987, 14332, 601, 8376, 630, 296, 9720, 994, 296, 337, 761, 762, 14332, 601, 15540, 630, 296, 7034, 994, 8867, 21294, 28066, 15540, 454, 30048, 543, 5450, 20326, 5204, 526, 27689, 454, 17954, 770, 267, 1160, 8063, 543, 2051, 28030, 9435, 454, 294, 583, 22435, 7988, 6798, 2670, 568, 5043, 958, 5532, 547, 513, 6794, 540, 4713, 1634, 607, 594, 9720, 630, 1103, 11987, 14332, 601, 8376, 1040, 5565, 2101, 3676, 267, 15867, 18255, 779, 8376, 543, 21853, 1356, 894, 2051, 4345, 267, 616, 3334, 540, 594, 9720, 269, 594, 9720, 568, 6353, 676, 5312, 6553, 538, 1114, 2694, 2483, 1692, 621, 1568, 454, 2171, 946, 5027, 15971, 2029, 543, 2462, 1239, 12642, 547, 2555, 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, 15302, 1299, 17148, 1315, 18726, 1315, 918, 1467, 325, 601, 614, 15540, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3408, 540, 5042, 1964, 31382, 267, 513, 3532, 1907, 1031, 538, 21911, 256, 901, 4480, 568, 1419, 1031, 538, 1945, 1572, 15465, 19884, 10657, 630, 528, 24399, 1070, 799, 2337, 1004, 1689, 2942, 2219, 3270, 883, 811, 2318, 543, 10853, 3283, 269, 898, 781, 899, 4758, 707, 2247, 513, 1454, 32571, 22010, 2439, 5331, 596, 723, 513, 3659, 3957, 5981, 945, 14659, 789, 616, 15265, 693, 13558, 1317, 789, 14406, 513, 1906, 15833, 1282, 2259, 269, 5272, 942, 2576, 19528, 13558, 267, 5981, 6238, 4743, 1524, 543, 11099, 602, 789, 786, 2760, 2087, 269, 3767, 4952, 952, 649, 1223, 948, 5981, 4161, 1346, 4555, 543, 1294, 1919, 8335, 20196, 781, 1018, 5042, 1964, 31382, 1281, 2439, 2080, 781, 875, 621, 1568, 1384, 1262, 3721, 476, 272, 281, 10576, 20134, 32438, 12533, 20055, 5981, 5431, 950, 789, 1376, 2348, 796, 15276, 995, 4555, 827, 2933, 543, 13558, 269, 9320, 789, 2161, 1919, 899, 267, 834, 296, 2141, 3190, 909, 2437, 610, 834, 2467, 781, 1100, 1448, 538, 3843, 282, 594, 29186, 3010, 1262, 3721, 476, 273, 281, 4855, 15845, 12533, 9202, 267, 5000, 5981, 547, 1413, 585, 2963, 602, 7028, 6730, 17591, 338, 891, 4555, 269, 1280, 1383, 267, 6148, 789, 1705, 4413, 930, 15833, 267, 855, 789, 849, 1500, 1896, 1390, 10596, 269, 1635, 4466, 4831, 17272, 2064, 267, 649, 666, 1397, 5981, 602, 972, 781, 811, 547, 2015, 982, 1175, 741, 3355, 5114, 780, 1262, 3721, 476, 274, 281, 7420, 1133, 15276, 995, 15154, 12533, 3086, 621, 781, 942, 547, 2243, 519, 3312, 2942, 2219, 269, 1772, 621, 2731, 3020, 286, 1548, 1131, 5981, 2995, 513, 3659, 945, 1185, 2147, 22027, 286, 10705, 267, 676, 4101, 891, 4555, 267, 649, 1265, 602, 789, 5749, 1405, 1759, 593, 5013, 543, 1810, 1405, 3180, 909, 896, 22987, 780, 1262, 3721, 476, 275, 281, 29799, 10598, 18356, 2060, 30142, 6638, 12533, 7661, 267, 960, 1927, 547, 1711, 513, 1007, 267, 7059, 2219, 602, 9356, 519, 2963, 1336, 538, 1900, 1079, 269, 5502, 540, 6031, 267, 834, 296, 2141, 3190, 909, 2437, 5981, 1522, 1589, 267, 834, 296, 3006, 6560, 609, 15246, 3853, 267, 855, 1250, 8429, 1983, 616, 2178, 267, 543, 594, 993, 5355, 1169, 1554, 3010, 8855, 267, 713, 1184, 3217, 2259, 267, 9639, 267, 543, 8990, 269, 1809, 2899, 27058, 267, 5042, 1964, 31382, 666, 1291, 547, 1732, 1582, 12635, 267, 4389, 4160, 267, 543, 4824, 2949, 8171, 269, 1924, 1577, 781, 17869, 585, 5981, 543, 2285, 6000, 513, 5180, 540, 3365, 1021, 1932, 267, 6616, 602, 649, 1631, 1174, 835, 540, 519, 1898, 2645, 16293, 946, 547, 948, 1004, 1745, 18668, 543, 8902, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21790, 6888, 2861, 5042, 3797, 538, 30442, 16327, 14601, 4524, 1107, 589, 12007, 1353, 593, 2550, 685, 2833, 454, 289, 10157, 24741, 4320, 476, 1321, 267, 9137, 1297, 281, 476, 6977, 630, 1001, 273, 994, 290, 4321, 8965, 3797, 630, 30274, 264, 609, 4598, 543, 3210, 6604, 630, 2207, 303, 264, 568, 519, 1101, 11060, 2126, 585, 2550, 609, 30442, 16327, 14601, 4524, 630, 302, 7374, 1040, 1717, 267, 711, 782, 540, 873, 3035, 1121, 2153, 593, 513, 1279, 3410, 4493, 269, 24238, 2861, 5042, 3797, 630, 300, 6195, 307, 264, 4564, 513, 1007, 476, 279, 22173, 1895, 3797, 1982, 4171, 7145, 814, 1044, 7152, 538, 1585, 2790, 4713, 267, 855, 814, 711, 2943, 1044, 4294, 547, 2550, 609, 24753, 563, 763, 1459, 12681, 1353, 6322, 547, 12007, 569, 2708, 519, 16148, 2833, 540, 2550, 609, 24753, 945, 15548, 538, 631, 6195, 307, 563, 306, 655, 328, 3613, 19099, 11042, 941, 5342, 609, 476, 1321, 2550, 7092, 689, 24753, 2047, 1310, 476, 279, 7886, 540, 513, 12353, 631, 6195, 307, 1895, 1982, 269, 4578, 941, 9916, 1210, 513, 12007, 1543, 2079, 563, 27396, 1218, 12595, 519, 2126, 607, 5363, 538, 7231, 609, 741, 24753, 606, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 4321, 10163, 31382, 257, 607, 851, 540, 834, 25787, 1315, 31499, 1315, 15465, 19884, 10657, 630, 30274, 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, 3848, 476, 279, 281, 32468, 2747, 11150, 910, 4804, 547, 3281, 668, 1047, 543, 11622, 622, 692, 7072, 692, 5970, 596, 2479, 6836, 27410, 609, 2576, 286, 9320, 596, 4941, 547, 4123, 707, 11442, 1286, 585, 741, 5172, 6564, 267, 610, 5310, 596, 4280, 707, 3237, 952, 596, 1223, 3251, 856, 2663, 982, 8912, 269, 1403, 865, 267, 1287, 7249, 17894, 256, 1411, 723, 2907, 3144, 707, 1101, 3268, 883, 519, 1158, 540, 19908, 780, 1103, 1870, 543, 9297, 267, 19908, 4249, 513, 2629, 1909, 950, 1079, 6105, 991, 547, 3914, 606, 6876, 602, 2640, 1312, 5011, 269, 14992, 1419, 4497, 538, 16395, 609, 14273, 267, 5561, 267, 4891, 267, 543, 1256, 6608, 269, 589, 3811, 19908, 666, 1291, 547, 2799, 12434, 267, 1732, 9388, 267, 543, 6793, 3347, 269, 1717, 267, 8757, 971, 11650, 3340, 6297, 4058, 267, 2500, 2792, 267, 543, 2178, 1966, 9010, 1983, 780, 1607, 3184, 786, 6338, 596, 547, 930, 1898, 2994, 1031, 1282, 16395, 1247, 9319, 1950, 2474, 543, 2035, 269, 1635, 1620, 891, 2553, 267, 596, 3513, 1831, 1732, 9280, 693, 10188, 998, 1585, 3871, 5473, 14207, 543, 5698, 780, 4089, 476, 272, 281, 19369, 1772, 6206, 692, 6524, 10024, 1022, 19908, 267, 7041, 568, 4105, 269, 901, 1900, 3322, 15388, 519, 824, 5428, 267, 7114, 3853, 267, 543, 3384, 1761, 3435, 269, 2913, 781, 2736, 1142, 2460, 1524, 2417, 1384, 320, 264, 3194, 532, 519, 4033, 9549, 281, 11310, 827, 519, 1268, 610, 3919, 596, 786, 581, 27410, 609, 2337, 1628, 17258, 543, 3972, 269, 4197, 741, 2115, 267, 6499, 267, 543, 7687, 2636, 596, 547, 4739, 18747, 602, 8597, 4481, 547, 873, 269, 1280, 1383, 267, 4952, 11197, 16462, 547, 21907, 2539, 5777, 609, 513, 2694, 18261, 269, 1677, 5965, 3927, 267, 11197, 1131, 1451, 3388, 2009, 827, 519, 18261, 781, 2504, 1184, 267, 15712, 267, 2344, 2990, 267, 543, 2883, 3510, 780, 321, 264, 17291, 17644, 281, 22682, 5581, 1018, 596, 1616, 547, 3035, 1282, 519, 19908, 269, 11109, 1134, 20452, 6859, 5849, 3025, 3238, 17358, 519, 5551, 6364, 269, 4635, 938, 3105, 1383, 267, 11197, 1522, 2832, 547, 2569, 3790, 676, 476, 1015, 260, 1247, 4509, 2298, 4441, 543, 4180, 12905, 6765, 540, 3334, 780, 322, 264, 15043, 15783, 10298, 281, 11020, 10445, 1114, 2081, 547, 2743, 519, 4857, 3853, 269, 9198, 908, 2789, 3681, 4679, 8112, 1282, 5717, 543, 9727, 18515, 547, 12840, 269, 8033, 5224, 609, 519, 11197, 9183, 267, 2009, 3435, 949, 1331, 556, 10864, 582, 11868, 11731, 267, 22212, 16551, 267, 3695, 4244, 2326, 267, 610, 4687, 2029, 10124, 780, 4089, 476, 273, 281, 9442, 10341, 17460, 692, 19931, 2792, 6013, 693, 519, 2295, 540, 1169, 3811, 19908, 269, 15765, 6947, 267, 2312, 4082, 540, 4555, 267, 6568, 267, 543, 1560, 1893, 782, 3565, 547, 2870, 2318, 5188, 1063, 6105, 269, 6333, 6220, 519, 1739, 4388, 883, 707, 1985, 6643, 1384, 320, 264, 15765, 23016, 281, 9796, 3007, 547, 1018, 1866, 616, 6031, 543, 1397, 1719, 538, 741, 5380, 269, 9105, 2055, 547, 12172, 2798, 543, 2327, 8994, 1620, 269, 4438, 11197, 781, 19908, 267, 3742, 6947, 1131, 948, 2697, 2127, 1141, 8332, 2478, 666, 581, 1500, 543, 2061, 21390, 780, 321, 264, 13068, 20309, 540, 32438, 281, 2422, 2241, 1913, 543, 13801, 5220, 547, 6655, 6835, 5693, 269, 3680, 1210, 2872, 3822, 610, 7294, 2236, 2084, 602, 949, 25657, 519, 824, 5428, 269, 5502, 267, 1445, 593, 11589, 2093, 25401, 543, 7479, 553, 1947, 780, 322, 264, 27919, 281, 10925, 3054, 538, 519, 10887, 540, 519, 824, 5428, 543, 2119, 547, 1174, 741, 4606, 543, 18144, 269, 8058, 7071, 585, 741, 4145, 543, 960, 1927, 2509, 4466, 1455, 2666, 269, 23227, 908, 6568, 13976, 29037, 543, 11942, 1279, 18835, 12352, 780, 323, 264, 10610, 5678, 281, 6348, 16812, 10291, 899, 11132, 7215, 267, 17267, 267, 543, 14302, 1404, 513, 1713, 1909, 538, 5935, 11994, 269, 24367, 3750, 3346, 267, 12561, 1930, 1560, 1893, 267, 543, 12162, 3429, 2059, 6920, 6278, 543, 18906, 4369, 269, 2142, 13533, 540, 11488, 26516, 6786, 602, 1223, 17225, 3356, 780, 4089, 476, 274, 281, 28304, 26861, 8163, 3414, 9046, 14572, 692, 10214, 609, 9488, 7041, 543, 5140, 2792, 267, 9465, 949, 1869, 8451, 1282, 16395, 269, 18601, 2591, 21176, 543, 4020, 1947, 5012, 547, 11327, 4093, 269, 8347, 7311, 891, 12485, 950, 5185, 609, 23665, 1384, 320, 264, 10312, 593, 9314, 338, 13298, 20537, 30142, 1431, 281, 6226, 4514, 883, 5817, 4690, 3079, 540, 3478, 12758, 593, 3355, 7158, 269, 1133, 16225, 532, 3020, 13821, 10741, 7399, 585, 20102, 6225, 12417, 3564, 6071, 598, 947, 687, 780, 321, 264, 2637, 4733, 13038, 18169, 281, 11559, 23730, 3309, 3435, 2864, 982, 23928, 585, 519, 1101, 2856, 4843, 269, 21414, 5294, 543, 931, 15217, 1354, 1818, 3664, 780, 322, 264, 16418, 12736, 8862, 514, 31950, 926, 657, 281, 5899, 633, 585, 11650, 1141, 1312, 6105, 1745, 13854, 543, 12595, 269, 25506, 602, 14207, 1281, 711, 8209, 1611, 3160, 6498, 855, 2864, 12581, 9547, 1759, 593, 1367, 14422, 780, 6962, 692, 22913, 532, 19908, 2994, 3217, 2259, 543, 9639, 269, 5664, 1153, 1053, 666, 4019, 891, 4909, 3741, 547, 4948, 7653, 899, 20547, 7526, 1851, 2828, 610, 7234, 26050, 609, 1920, 2818, 269, 1306, 596, 1332, 4587, 543, 14679, 883, 811, 1950, 3871, 267, 3314, 602, 7041, 267, 2500, 2792, 267, 543, 3860, 1966, 6061, 1106, 519, 22294, 540, 3811, 16395, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 339, 341, 8293, 1177, 330, 593, 519, 9335, 31368, 6195, 5239, 476, 1626, 267, 476, 1001, 274, 476, 280, 281, 876, 600, 268, 1321, 281, 4905, 10975, 29269, 454, 326, 1245, 11931, 1472, 476, 14096, 276, 267, 607, 585, 21570, 267, 7646, 569, 3018, 2962, 5103, 606, 5216, 18881, 1164, 538, 20410, 20090, 6015, 269, 649, 616, 1318, 909, 1996, 519, 21120, 269, 6845, 622, 3401, 2161, 789, 2811, 29014, 827, 513, 4308, 2221, 269, 938, 5491, 12773, 593, 2689, 585, 513, 2009, 9419, 978, 8565, 269, 23645, 1000, 7867, 8939, 519, 1007, 26294, 6006, 5385, 936, 519, 13439, 6767, 336, 585, 922, 3810, 17191, 28258, 334, 269, 23645, 543, 11945, 6031, 621 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10068, 563, 1103, 2487, 1296, 267, 9235, 568, 9750, 593, 519, 10195, 269, 12875, 1235, 689, 3330, 519, 2197, 543, 3544, 616, 5461, 538, 9683, 519, 10195, 269, 1717, 267, 6236, 519, 17866, 2470, 540, 519, 1604, 972, 616, 7453, 9993, 593, 519, 1297, 540, 8436, 547, 519, 10195, 269, 5272, 21233, 814, 547, 3489, 2027, 11863, 547, 4283, 519, 10195, 269, 5794, 3028, 1063, 519, 22163, 543, 3397, 3430, 328, 568, 4543, 538, 1818, 9235, 2872, 811, 10694, 269, 19227, 1004, 1185, 547, 2951, 676, 4262, 8905, 1152, 267, 799, 5921, 7836, 1896, 3108, 693, 4262, 547, 3914, 519, 10195, 689, 519, 22163, 269, 1717, 267, 1256, 1631, 1082, 14666, 4782, 547, 1491, 519, 4262, 3460, 547, 2972, 519, 20498, 5898, 540, 519, 10195, 269, 1280, 873, 267, 4663, 15004, 676, 9635, 616, 2139, 269, 769, 476, 3422, 273, 267, 513, 6928, 609, 519, 2012, 631, 309, 7256, 16737, 729, 5189, 269, 13536, 1614, 811, 9635, 941, 20399, 883, 3028, 269, 1358, 4163, 14666, 607, 1134, 607, 2834, 15915, 269, 634, 700, 27232, 611, 933, 788, 6341, 644, 1090, 568, 513, 2947, 6377, 4663, 10189, 269, 634, 10189, 3217, 519, 14666, 676, 519, 6928, 3957, 631, 309, 918, 822, 541, 3430, 328, 547, 519, 10195, 540, 918, 822, 541, 3430, 328, 267, 17833, 5155, 328, 543, 3687, 545, 1195, 269, 634, 10189, 2882, 12899, 267, 29295, 906, 543, 9913, 593, 519, 10195, 269, 28477, 7544, 568, 22555, 585, 519, 14666, 267, 945, 666, 849, 32696, 538, 16351, 2238, 899, 10977, 267, 2879, 1251, 9934, 543, 824, 1216, 5026, 1282, 519, 1554, 269, 634, 8436, 616, 3144, 593, 8289, 572, 4370, 540, 519, 10195, 269, 634, 13149, 7467, 267, 570, 10044, 31543, 267, 8498, 15211, 616, 2442, 609, 519, 14666, 269, 715, 2074, 616, 6170, 593, 519, 6928, 269, 1703, 616, 23593, 15004, 689, 29180, 1932, 799, 1491, 14666, 547, 700, 27232, 611, 933, 788, 543, 1394, 538, 6378, 2338, 540, 2395, 563, 288, 6131, 13539, 814, 1044, 4646, 547, 5000, 543, 7520, 1646, 540, 9235, 269, 634, 13539, 1568, 538, 2673, 7681, 609, 519, 2199, 7245, 269, 4746, 267, 513, 1134, 9280, 1216, 7328, 20576, 814, 1044, 3964, 693, 918, 611, 3901, 6532, 269, 634, 9744, 2488, 3255, 585, 666, 27739, 267, 31614, 1136, 267, 8934, 9430, 267, 1085, 18866, 11362, 267, 1216, 31562, 267, 2842, 17774, 532, 267, 586, 778, 1154, 3092, 269, 634, 15805, 6703, 693, 10854, 541, 600, 616, 3833, 2442, 1851, 4914, 14666, 269, 634, 18992, 2488, 1164, 2298, 3251, 267, 1426, 267, 18883, 543, 849, 1216, 7328, 6703, 269, 1703, 616, 15805, 554, 7491, 693, 1114, 10195, 799, 1683, 10097, 2533, 547, 519, 14666, 267, 1519, 1426, 563, 2026, 519, 10195, 723, 9341, 2916, 267, 17310, 4054, 616, 1336, 538, 11606, 269, 2368, 616, 3833, 7381, 1247, 1866, 616, 540, 21221, 3099, 269, 589, 3099, 540, 5613, 1332, 593, 519, 10195, 269, 700, 3147, 611, 633, 2890, 267, 700, 3147, 611, 633, 8723, 267, 3039, 21221, 616, 1134, 1634, 8677, 269, 13149, 1272, 568, 8449, 3638, 269, 7756, 2010, 540, 24991, 616, 1336, 972, 269, 1358, 616, 10057, 12725, 543, 849, 3144, 547, 519, 22163, 585, 13143, 269, 6129, 15018, 540, 24991, 568, 849, 13736, 593, 519, 10195, 676, 16304, 873, 593, 12308, 3515, 610, 593, 519, 2666, 269, 634, 10195, 1934, 723, 2881, 638, 18857, 554, 4240, 3636, 267, 2312, 1216, 267, 3043, 5070, 17822, 543, 13869, 4054, 3395, 538, 11606, 269, 27910, 1782, 14147, 18625, 896, 519, 533, 749, 16112, 7297, 616, 1753, 547, 513, 3099, 540, 1272, 3029, 269, 634, 3636, 267, 13719, 7297, 540, 519, 561, 6210, 976, 1683, 1434, 3255, 547, 2070, 519, 24991, 543, 824, 2010, 540, 18508, 543, 21426, 269, 2290, 666, 1294, 519, 3638, 14015, 7286, 1272, 538, 4837, 1532, 2714, 15701, 16996, 267, 16887, 22555, 585, 14666, 269, 24613, 538, 519, 4262, 538, 1346, 16996, 568, 513, 2189, 1995, 607, 519, 14015, 7286, 1272, 568, 5693, 7298, 269, 4856, 1023, 267, 24991, 267, 824, 2831, 267, 2371, 3092, 1421, 666, 581, 3362, 2938, 563, 763, 10195, 543, 922, 25610, 616, 20948, 676, 1804, 1297, 540, 5017, 269, 2290, 1880, 796, 514, 4725, 1243, 6532, 267, 623, 8636, 328, 814, 1044, 10294, 513, 16819, 5842, 551, 4231, 269, 18844, 568, 4122, 1336, 538, 589, 2381, 328, 543, 3687, 545, 1195, 10195, 267, 855, 9490, 569, 267, 789, 616, 711, 1459, 538, 918, 822, 541, 3430, 328, 269, 898, 568, 513, 1455, 8289, 547, 5544, 1896, 2249, 540, 4686, 30173, 5017, 543, 27436, 5017, 593, 891, 10195, 563, 288, 1360, 1271, 4183, 540, 700, 27232, 611, 933, 788, 568, 602, 621, 814, 606, 5863, 569, 1804, 1297, 540, 9649, 16015, 538, 519, 13719, 7297, 269, 8409, 16015, 723, 513, 1360, 1279, 1272, 12732, 543, 3744, 2161, 602, 1082, 540, 873, 616, 5553, 2025, 269, 4014, 891, 16015, 616, 5458, 789, 798, 711, 4323, 3425, 269, 769, 1249, 835, 666, 7669, 609, 873, 267, 6952, 873, 543, 1256, 11878, 593, 873, 269, 1358, 616, 20757, 543, 4096, 593, 4262, 10664, 585, 741, 6668, 563, 763, 2724, 10800, 4471, 630, 27023, 881, 2012, 281, 595, 2988, 571, 20660, 1395, 9508, 264, 568, 10731, 569, 1336, 538, 519, 13719, 7297, 540, 519, 561, 6210, 976, 269, 4438, 1970, 20352, 267, 2021, 543, 1453, 2972, 10655, 519, 10800, 1845, 543, 824, 2249, 540, 595, 2988, 571, 20660, 12593, 269, 27202, 3774, 13793, 902, 543, 824, 16560, 3688, 616, 1500, 609, 10800, 1845, 543, 1004, 689, 519, 22163, 4444, 873, 607, 6204, 1597, 15077, 563, 297, 12000, 2044, 1818, 568, 606, 1271, 4747, 5108, 2534, 585, 519, 17137, 269, 23081, 14777, 3529, 18682, 568, 6394, 1175, 899, 519, 4266, 25659, 332, 18682, 799, 568, 12699, 538, 1804, 11149, 269, 2991, 9427, 1216, 267, 519, 9115, 1831, 5394, 543, 6960, 880, 269, 634, 1482, 568, 4847, 547, 3579, 547, 1831, 795, 12000, 2044, 267, 799, 568, 1287, 14095, 538, 14569, 610, 5068, 533, 537, 2583, 543, 4421, 269, 634, 795, 12000, 2044, 568, 27507, 540, 6464, 543, 568, 1360, 17705, 269, 6271, 1271, 3655, 26915, 4759, 1336, 538, 519, 25610, 540, 930, 540, 519, 10195, 568, 519, 4262, 2712, 24739, 267, 799, 568, 849, 1572, 607, 4262, 21963, 327, 9233, 269, 1358, 616, 1507, 267, 838, 4176, 267, 5895, 983, 2831, 799, 3049, 5631, 593, 13479, 855, 789, 2933, 616, 13881, 676, 4262, 17333, 1562, 269, 1403, 741, 2551, 568, 1804, 267, 891, 2831, 666, 10969, 622, 519, 7226, 676, 1259, 540, 10438, 519, 13479, 799, 1106, 519, 4493, 540, 519, 1426, 5832, 538, 519, 12748, 9249, 269, 1306, 513, 1267, 267, 24991, 543, 824, 3730, 2831, 3112, 7639, 269, 2334, 568, 1946, 519, 29940, 798, 711, 899, 873, 269, 1358, 6952, 873, 543, 30565, 873, 538, 519, 5070, 865, 602, 789, 5884, 269, 634, 13719, 18848, 3019, 1216, 1472, 519, 10195, 538, 700, 27232, 611, 933, 788, 616, 2407, 540, 513, 3099, 540, 4190, 267, 7990, 995, 24991, 971, 607, 519, 14147, 3165, 267, 1612, 8527, 3165, 267, 18173, 3165, 267, 18874, 3165, 3092, 269, 1452, 24991, 666, 581, 9763, 689, 519, 4837, 5377, 16996, 610, 1247, 11362, 543, 2879, 1251, 9934, 563, 16908, 538, 700, 27232, 611, 933, 788, 454, 16908, 538, 700, 27232, 611, 933, 788, 568, 2241, 543, 2653, 269, 4658, 616, 9237, 267, 5601, 1922, 8960, 543, 1360, 7874, 269, 1358, 616, 1360, 1434, 7669, 11302, 543, 13837, 31600, 269, 2334, 568, 1946, 1082, 540, 873, 616, 3362, 6964, 676, 519, 11288, 3549, 269, 634, 11951, 568, 849, 3638, 269, 19676, 543, 3165, 616, 20013, 2732, 540, 519, 6532, 619, 269, 26560, 568, 849, 10150, 269, 589, 3099, 540, 8286, 616, 1500, 689, 589, 2199, 8670, 1500, 540, 7573, 267, 799, 568, 519, 20013, 2732, 540, 7573, 269, 14465, 3570, 568, 1776, 6221, 799, 568, 882, 1639, 676, 519, 2199, 2551, 269, 1717, 267, 8244, 540, 1494, 762, 1216, 814, 1044, 513, 2101, 1966, 585, 519, 11317, 540, 891, 10195, 269, 28243, 3112, 581, 25653, 972, 607, 519, 10195, 616, 1500, 540, 14147, 2326, 799, 616, 24338, 269, 9747, 267, 4262, 1216, 3362, 13788, 547, 6445, 1022, 2139, 2230, 267, 1519, 519, 19401, 269, 4658, 2119, 547, 2445, 24467, 607, 1454, 607, 2009, 269, 2423, 17067, 789, 1031, 547, 2445, 873, 538, 1507, 22253, 269, 3767, 1082, 540, 519, 8075, 543, 824, 24284, 723, 3621, 24467, 16276, 543, 4859, 1949, 269, 14066, 13688, 616, 1031, 547, 4558, 1216, 1282, 519, 22856, 543, 616, 1031, 3592, 519, 1032, 5180, 269, 2201, 930, 540, 519, 10195, 267, 519, 7245, 814, 8704, 2371, 585, 12511, 1253, 20746, 540, 4262, 1216, 883, 4195, 6704, 1216, 269, 23225, 1296, 1394, 621, 729, 4362, 602, 2673, 547, 519, 24528, 972, 729, 8101, 3017, 538, 519, 2837, 540, 1216, 693, 1114, 17909, 269, 24953, 1216, 689, 4262, 568, 18493, 730, 538, 1804, 11149, 896, 1970, 2604, 547, 1118, 1216, 32350, 269, 12019, 1216, 5833, 689, 1978, 1880, 17909, 568, 1031, 538, 519, 1253, 20746, 16491, 906, 547, 3579, 519, 32350, 269, 634, 32350, 7873, 5151, 883, 1216, 269, 30052, 267, 519, 27772, 1216, 568, 711, 29649, 269, 4935, 4195, 1216, 568, 1500, 689, 29649, 4262, 1216, 693, 1970, 1942, 269, 2334, 1880, 4480, 568, 1631, 1373, 9450, 547, 2743, 519, 4170, 540, 4195, 1216, 593, 1114, 10195, 563, 5353, 320, 11761, 568, 2943, 1776, 1966, 5185, 676, 519, 11317, 540, 519, 6532, 269, 769, 476, 2735, 277, 606, 4274, 12233, 729, 27648, 547, 1413, 693, 519, 4220, 540, 4262, 11761, 269, 634, 12233, 729, 540, 519, 2070, 602, 827, 476, 280, 269, 277, 5998, 540, 4262, 13272, 729, 538, 991, 540, 4027, 269, 769, 519, 2663, 1296, 267, 519, 3259, 814, 2799, 593, 2272, 540, 1007, 7422, 543, 2810, 4262, 11761, 269, 6168, 476, 3607, 5998, 814, 1044, 4857, 865, 2484, 8506, 8825, 3800, 269, 589, 1804, 12701, 814, 2907, 1044, 4988, 543, 2417, 960, 568, 538, 3356, 269, 14066, 7552, 16104, 1500, 540, 9160, 616, 4122, 1031, 547, 2736, 519, 3196, 540, 519, 6329, 799, 2014, 11761, 269, 6270, 7552, 16104, 666, 581, 2938, 593, 1585, 10195, 269, 2311, 930, 7925, 2798, 6821, 723, 849, 1044, 25517, 269, 634, 26080, 5898, 540, 700, 27232, 611, 933, 788, 2306, 621, 513, 1747, 4502, 9683, 1586, 543, 1586, 269, 4706, 32668, 5790, 267, 2241, 6197, 267, 6805, 1426, 14405, 8436, 689, 782, 936, 519, 1158, 547, 713, 27032, 5356, 873, 606, 856, 540, 519, 1158, 1995, 269, 0, 3528, 17455, 601, 529, 667, 617, 657, 454, 5649, 6732, 610, 8281, 14465, 778, 28805, 543, 29149, 5590, 7869, 281, 29120, 11762, 630, 299, 15145, 11872, 538, 9119, 264, 7300, 454, 13436, 2036, 13541, 923, 2835, 454, 4263, 519, 6989, 267, 5119, 1523, 543, 3113, 2856, 1413, 899, 1360, 3309, 8371, 540, 12980, 269, 16310, 519, 1249, 602, 267, 7755, 659, 1890, 267, 5487, 680, 659, 1014, 267, 543, 9860, 14290, 616, 3119, 547, 21843, 11708, 267, 543, 7899, 540, 5321, 540, 14290, 949, 2285, 721, 3407, 1344, 3823, 519, 11156, 540, 11708, 269, 5301, 540, 10395, 13541, 658, 19336, 2856, 547, 5487, 680, 659, 1014, 4223, 4631, 540, 28977, 568, 513, 28094, 540, 519, 1585, 10578, 2360, 11341, 5487, 680, 659, 1014, 14290, 3710, 1317, 519, 4571, 1530, 1203, 625, 998, 6444, 22697, 13380, 547, 12096, 520, 267, 674, 1221, 2401, 267, 6182, 821, 267, 31489, 1633, 267, 8585, 5142, 267, 15011, 541, 267, 3026, 30977, 267, 1744, 14575, 267, 2672, 837, 267, 543, 3063, 563, 28319, 6838, 547, 519, 6739, 22301, 15751, 1744, 597, 344, 2801, 341, 593, 1010, 11157, 328, 996, 14512, 267, 621, 568, 513, 5542, 540, 4574, 2854, 676, 1259, 540, 1010, 5449, 5640, 267, 1071, 22052, 4243, 543, 27498, 269, 634, 19545, 4564, 519, 5969, 12967, 540, 513, 3432, 344, 1319, 1005, 2219, 543, 949, 581, 513, 4105, 4199, 585, 3173, 1282, 713, 3148, 269, 519, 2039, 540, 1641, 6927, 543, 3003, 1106, 540, 519, 4574, 1118, 519, 19545, 13267, 585, 1912, 563, 23382, 13541, 658, 10789, 281, 16522, 1314, 543, 12054, 24939, 6799, 8737, 2272, 540, 1082, 2694, 540, 2036, 13541, 658, 7223, 269, 898, 13408, 1582, 8410, 22633, 15997, 540, 3152, 982, 476, 736, 3119, 2360, 267, 2901, 8106, 543, 17953, 344, 269, 901, 13408, 30110, 617, 1700, 4537, 2378, 732, 341, 747, 543, 744, 3149, 327, 13089, 4512, 781, 7840, 540, 31293, 728, 7965, 267, 1744, 597, 3333, 990, 781, 6571, 540, 918, 1755, 3333, 781, 4161 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1259, 547, 5838, 713, 1344, 538, 513, 6899, 267, 17187, 6073, 269, 11426, 619, 666, 723, 782, 741, 2055, 12943, 1510, 519, 2604, 610, 17185, 602, 1118, 930, 2043, 530, 776, 540, 15025, 609, 513, 2661, 6455, 17367, 269, 4495, 789, 4076, 5833, 2614, 1344, 547, 1118, 513, 3375, 267, 513, 30292, 666, 6338, 513, 1480, 11347, 547, 1491, 519, 9042, 519, 1964, 540, 519, 1259, 563, 2005, 779, 711, 782, 798, 558, 543, 1350, 7112, 585, 26962, 269, 13378, 21538, 616, 513, 3247, 326, 777, 2394, 5691, 20843, 616, 2111, 547, 10994, 782, 540, 938, 2055, 543, 4145, 267, 7488, 540, 519, 3135, 610, 3760, 269, 14044, 20843, 786, 5555, 1921, 547, 3388, 538, 707, 3059, 1272, 267, 689, 7270, 547, 14164, 10276, 12574, 3457, 269, 13298, 982, 2469, 998, 1114, 7270, 543, 6340, 547, 1585, 1114, 26962, 267, 519, 5691, 13930, 786, 581, 519, 3760, 585, 4466, 519, 4267, 596, 991, 269, 1403, 891, 20843, 616, 3257, 971, 513, 1434, 2816, 267, 1946, 1131, 596, 1256, 21898, 547, 946, 513, 6216, 539, 30292, 286, 7464, 12264, 713, 4465, 1406, 1491, 1747, 585, 28069, 267, 1813, 547, 519, 26610, 540, 519, 19458, 563, 4910, 1051, 519, 17187, 30892, 269, 634, 2407, 5872, 1058, 1491, 1747, 5065, 569, 1369, 519, 813, 269, 634, 3804, 568, 547, 5431, 519, 3593, 781, 8247, 543, 1683, 519, 1318, 1543, 609, 5934, 3593, 3403, 269, 5272, 2243, 4280, 1058, 3142, 519, 3593, 6251, 547, 519, 2626, 789, 1616, 269, 1403, 596, 991, 865, 1454, 1344, 602, 596, 2811, 4730, 513, 3014, 540, 476, 736, 5999, 267, 1287, 6467, 547, 513, 1106, 543, 5838, 519, 1543, 1776, 1259, 563, 2190, 270, 278, 3059, 1489, 269, 1323, 8216, 543, 2141, 3015, 13930, 568, 10924, 676, 519, 811, 543, 811, 3059, 7082, 540, 519, 1007, 5736, 269, 9521, 3425, 267, 26962, 2899, 2919, 543, 8704, 1810, 1405, 723, 513, 3908, 960, 17058, 267, 14812, 610, 32300, 543, 616, 4712, 547, 7390, 14511, 693, 1022, 5662, 540, 519, 1554, 269, 898, 2337, 547, 519, 6075, 547, 2057, 7996, 540, 513, 2754, 781, 8665, 547, 581, 2139, 269, 4935, 267, 519, 6075, 3085, 1405, 723, 547, 7227, 585, 519, 2754, 10324, 547, 948, 873, 269, 901, 849, 13071, 3549, 1832, 606, 3750, 593, 519, 6808, 1282, 519, 1875, 268, 11529, 3108, 543, 3914, 856, 547, 873, 2663, 269, 0, 7476, 948, 609, 1022, 2186, 540, 7084, 910, 689, 513, 1164, 1153, 1557, 547, 513, 12854, 12031, 454, 26046, 540, 513, 5888, 268, 17813, 9640, 676, 3798, 7773, 16334, 597, 898, 568, 2356, 7150, 602, 835, 1058, 10714, 519, 5449, 543, 21078, 538, 519, 1459, 898, 568, 2356, 7150, 602, 835, 1058, 10714, 519, 1686, 543, 21078, 538, 519, 1459, 269, 11048, 267, 3798, 7773, 16334, 597, 779, 2048, 305, 864, 9640, 685, 568, 9090, 513, 5888, 540, 3105, 1121, 19830, 1734, 1175, 269, 24511, 2221, 519, 4277, 5057, 568, 9090, 602, 621, 3091, 609, 1082, 2152, 543, 2042, 799, 616, 7839, 269, 898, 568, 3976, 513, 8115, 1063, 519, 2250, 543, 1459, 543, 568, 6829, 538, 519, 2186, 540, 513, 4062, 540, 3332, 269, 16334, 597, 5128, 7150, 602, 538, 21882, 827, 5198, 9640, 538, 713, 5888, 267, 646, 729, 6029, 1010, 1126, 1296, 4585, 540, 1010, 4651, 779, 726, 965, 5198, 9640, 267, 799, 1590, 723, 3893, 7902, 1804, 267, 25386, 543, 2500, 547, 513, 18560, 540, 2185, 610, 2947, 269, 2368, 540, 1010, 9954, 267, 1519, 2048, 295, 8503, 8730, 723, 513, 2673, 6697, 538, 15102, 689, 1010, 26249, 267, 11021, 602, 7487, 891, 9640, 18056, 1864, 540, 1978, 2621, 269, 634, 6648, 6238, 609, 519, 10564, 10489, 2056, 4641, 543, 21523, 1424, 540, 835, 540, 1010, 6689, 8823, 269, 769, 713, 2407, 2013, 621, 568, 835, 540, 950, 646, 607, 513, 1126, 267, 14478, 513, 8087, 2319, 540, 9640, 726, 965, 532, 519, 20839, 1076, 1394, 883, 519, 2361, 267, 1282, 513, 6632, 942, 799, 3893, 7088, 1512, 7930, 269, 769, 519, 1101, 1079, 18627, 267, 519, 5467, 568, 7363, 3177, 676, 519, 10564, 513, 1713, 19583, 883, 1018, 519, 2175, 540, 1010, 3871, 1185, 1044, 269, 901, 729, 1034, 4440, 267, 519, 23434, 540, 513, 1974, 540, 2112, 269, 634, 1906, 2959, 16334, 597, 2306, 547, 606, 4108, 971, 607, 538, 3871, 1141, 519, 5198, 9640, 968, 332, 2117, 1117, 892, 543, 519, 2165, 968, 935, 638, 1359, 892, 2417, 2087, 713, 6161, 540, 6370, 269, 968, 19853, 11876, 7174, 899, 16537, 976, 538, 606, 8978, 1984, 892, 901, 2039, 2488, 909, 1776, 6161, 799, 568, 7363, 12735, 5224, 519, 3791, 8608, 607, 649, 1174, 621, 269, 769, 519, 1482, 8574, 646, 25701, 547, 513, 968, 18876, 880, 5662, 892, 538, 799, 646, 849, 23607, 519, 5198, 9640, 685, 11876, 7174, 547, 16537, 976, 538, 606, 8978, 960, 269, 901, 12211, 547, 875, 4819, 960, 538, 2504, 6703, 729, 2291, 550, 1714, 9626, 1862, 0, 3707, 273, 1700, 3707, 276, 670, 8582, 547, 2322, 713, 538, 2575, 454, 763, 1158, 729, 593, 519, 2357, 613, 540, 519, 5822, 2622, 2782, 267, 950, 15656, 4446, 828, 729, 1572, 547, 4196, 538, 519, 2136, 2276, 7952, 269, 1261, 2059, 609, 824, 12372, 3838, 519, 1482, 27742, 538, 7674, 538, 519, 4108, 281, 789, 941, 13348, 5328, 267, 855, 789, 24714, 547, 3136, 1603, 2575, 269, 5221, 540, 4446, 828, 781, 4057, 32416, 267, 646, 729, 8655, 2027, 2533, 267, 799, 3769, 1346, 538, 7574, 2238, 269, 10801, 519, 1158, 267, 2705, 267, 972, 729, 606, 2810, 3747, 585, 1010, 960, 269, 4634, 538, 519, 7952, 267, 1010, 15885, 267, 3226, 16710, 334, 4728, 2968, 851, 540, 519, 6512, 27132, 269, 2060, 713, 646, 729, 11292, 267, 968, 1492, 1655, 2324, 2175, 892, 1282, 519, 2112, 267, 547, 799, 646, 729, 30140, 18507, 269, 1261, 729, 1586, 22653, 1243, 609, 1010, 2673, 3659, 9093, 2714, 328, 269, 1261, 4797, 547, 2328, 267, 713, 942, 6766, 676, 1010, 2833, 1282, 2622, 2782, 4083, 269, 1261, 729, 5555, 11843, 547, 519, 1715, 3840, 8433, 540, 2782, 6176, 865, 646, 1223, 13404, 593, 1010, 960, 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, 8802, 542, 540, 18882, 454, 268, 12213, 569, 6209, 6698, 547, 519, 2021, 649, 28316, 540, 26277, 16288, 267, 891, 10562, 1199, 718, 687, 2099, 6379, 543, 3993, 3125, 454, 268, 589, 15279, 21192, 3337, 630, 10193, 1634, 607, 513, 968, 5979, 345, 3188, 14615, 4564, 519, 4775, 1106, 543, 12680, 454, 268, 589, 12166, 267, 1900, 6438, 4806, 1419, 1336, 538, 26277, 565, 1014, 6272, 454, 268, 589, 8390, 540, 18305, 1765, 13678, 921, 267, 17174, 267, 12050, 267, 543, 10477, 1765, 718, 688, 4979, 689, 519, 26277, 565, 1014, 3148, 630, 19640, 6377, 11894, 994, 268, 7579, 531, 18305, 616, 513, 20013, 538, 24821, 1374, 1765, 3333, 12976, 909, 538, 513, 3099, 540, 6163, 1519, 2067, 267, 7493, 267, 543, 12166, 454, 268, 634, 3844, 1374, 568, 1433, 2105, 676, 7333, 1676, 1236, 7398, 8440, 454, 300, 23565, 568, 513, 4884, 538, 3844, 26277, 16288, 1634, 585, 678, 13903, 18995, 2757, 26277, 565, 1014, 18305, 269, 1717, 267, 2864, 982, 6093, 22283, 3877, 267, 891, 678, 13903, 4043, 547, 4183, 16136, 1242, 27536, 6272, 609, 1085, 718, 25660, 3877, 3079, 563, 310, 944, 568, 519, 1034, 4922, 1031, 6775, 538, 15349, 24821, 1374, 269, 3502, 1152, 568, 621, 726, 550, 3814, 538, 3761, 267, 621, 779, 14463, 267, 1279, 18835, 267, 543, 11212, 726, 2313, 1765, 810, 621, 779, 2706, 635, 325, 344, 547, 3802, 543, 6001, 593, 269, 901, 15144, 18061, 568, 18955, 5196, 513, 10412, 5748, 267, 1776, 2442, 3903, 538, 24821, 1374, 269, 634, 10412, 1031, 568, 14461, 267, 2178, 267, 543, 2488, 513, 19756, 5748, 602, 779, 2966, 547, 2063, 513, 10715, 29932, 4557, 269, 0, 292, 3008, 476, 30500, 630, 21798, 320, 28573, 994, 763, 661, 3008, 476, 30500, 7025, 3047, 3163, 2361, 1153, 538, 22728, 28573, 6212, 593, 1620, 519, 8733, 543, 2825, 3157, 1459, 693, 513, 9341, 6531, 4104, 267, 543, 513, 9341, 3819, 4104, 269, 769, 519, 22757, 591, 1372, 13192, 11206, 15944, 267, 1053, 1353, 519, 5222, 540, 2916, 1689, 593, 17866, 8134, 543, 875, 1346, 8134, 616, 14775, 543, 15268, 547, 2916, 1689, 269, 634, 3643, 3322, 1312, 3781, 543, 1554, 15211, 538, 519, 6531, 4104, 15395, 269, 634, 3819, 4104, 5057, 3217, 1747, 693, 13244, 28266, 2817, 5244, 7025, 16424, 8111, 13505, 630, 17876, 23259, 268, 4932, 7704, 1070, 513, 772, 2704, 828, 3279, 9744, 602, 12116, 519, 1764, 543, 3210, 540, 9341, 3819, 7733, 547, 2916, 1689, 269, 3371, 267, 1053, 2263, 2152, 540, 5117, 19588, 543, 1451, 547, 946, 513, 18714, 8955, 31554, 630, 307, 11862, 1070, 2308, 12616, 9300, 5121, 267, 8415, 8280, 7371, 17202, 10344, 538, 519, 7664, 540, 1898, 20296, 4632, 267, 543, 21656, 4104, 8134, 269, 769, 1840, 547, 519, 6531, 543, 3819, 4104, 2833, 267, 1053, 1451, 827, 2609, 2404, 609, 519, 6694, 19841, 1458, 8916, 1282, 519, 5397, 689, 22757, 591, 1372, 547, 13244, 28266, 269, 16952, 829, 802, 1331, 4598, 547, 519, 2528, 540, 22728, 28573, 543, 267, 942, 28498, 267, 513, 1554, 693, 9947, 638, 650, 531, 13149, 15395, 267, 513, 1283, 9381, 10278, 563, 763, 661, 3008, 476, 275, 3066, 19566, 17197, 1559, 30578, 2361, 1153, 2488, 4359, 30578, 1053, 609, 606, 5140, 4316, 547, 24917, 519, 2361, 1983, 4121, 538, 519, 2034, 543, 3791, 1032, 2361, 3506, 676, 7311, 873, 538, 513, 1483, 8996, 267, 2484, 5991, 2180, 4259, 269, 769, 713, 2361, 1153, 267, 513, 2824, 1895, 540, 476, 277, 1053, 4786, 7258, 661, 3008, 20485, 543, 19566, 17197, 1559, 24959, 11752, 2520, 5505, 538, 606, 896, 13231, 1221, 1858, 540, 519, 32065, 307, 269, 634, 2361, 1153, 568, 4371, 693, 1114, 6552, 2361, 4609, 1369, 513, 9625, 7742, 5998, 8953, 540, 14117, 30893, 1057, 269, 13488, 547, 519, 2361, 1858, 568, 3335, 676, 10581, 7077, 267, 609, 3560, 1369, 519, 2361, 1858, 676, 10935, 610, 593, 3723, 269, 4841, 10283, 538, 519, 32065, 307, 2361, 1153, 1451, 711, 1152, 17027, 1983, 855, 849, 2744, 3407, 19069, 1995, 602, 786, 581, 540, 1390, 4324, 538, 2104, 11678, 538, 3408, 2520, 657, 7220, 269, 0, 7804, 30277, 2494, 329, 571, 267, 606, 6784, 6048, 693, 4639, 6807, 11233, 267, 12116, 519, 8738, 330, 731, 838, 648, 15972, 602, 729, 5063, 8704, 547, 6895, 513, 3266, 22433, 1120, 839, 538, 667, 18076, 269, 674, 25193, 838, 648, 13907, 2938, 865, 2484, 538, 667, 18076, 723, 1044, 519, 5207, 538, 519, 5722, 4872, 4867, 1373, 16913, 538, 3162, 4000, 563, 763, 6727, 27506, 5346, 540, 17725, 11959, 538, 667, 18076, 568, 2693, 1813, 547, 519, 1164, 2157, 540, 22285, 543, 16507, 24032, 267, 799, 616, 1373, 14556, 1881, 676, 6371, 14947, 713, 5614, 4005, 563, 3383, 11099, 4515, 13744, 5500, 8834, 267, 2212, 540, 519, 772, 6311, 25016, 4659, 779, 14711, 1770, 563, 763, 20576, 568, 3743, 585, 5464, 14947, 2429, 3162, 4000, 543, 585, 519, 1101, 942, 538, 811, 982, 476, 736, 1296, 267, 7064, 547, 7616, 3177, 676, 595, 997, 802, 267, 3828, 1231, 11232, 267, 14562, 15879, 674, 29531, 543, 589, 966, 690, 601, 661, 577, 2088, 4403, 267, 789, 616, 2111, 547, 24633, 667, 18076, 7264, 540, 519, 1826, 540, 23197, 23480, 602, 616, 538, 10009, 543, 875, 789, 666, 1732, 4383, 741, 2589, 563, 2108, 291, 18076, 568, 13883, 538, 513, 31210, 2916, 7997, 609, 1164, 3448, 11195, 543, 3636, 3328, 5210, 267, 799, 568, 20009, 547, 22285, 2208, 269, 769, 1249, 267, 540, 519, 5722, 3162, 3979, 4872, 4867, 1373, 16913, 585, 23197, 23480, 267, 667, 18076, 22285, 2157, 616, 519, 5207, 269, 4400, 2157, 540, 10201, 7559, 267, 1849, 15606, 1602, 1756, 543, 29980, 11484, 636, 16507, 24032, 723, 849, 1044, 1336, 538, 519, 5790, 540, 519, 2749, 267, 12615, 908, 2589, 585, 519, 6059, 476, 274, 267, 476, 274, 2929, 18720, 8611, 24412, 2713, 538, 519, 1858, 2223, 4515, 8834, 6045, 563, 13349, 2589, 1331, 513, 2196, 5500, 267, 28349, 610, 7249, 6479, 9224, 267, 2022, 5991, 29569, 30620, 267, 15319 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 513, 1880, 1641, 563, 29094, 666, 18663, 1053, 538, 519, 1565, 1184, 454, 6624, 1004, 3494, 602, 6780, 1058, 711, 581, 17049, 1317, 621, 4665, 919, 1053, 547, 1451, 269, 2201, 519, 835, 1688, 267, 930, 1053, 1745, 16397, 676, 519, 2179, 540, 6780, 789, 723, 547, 798, 269, 2201, 519, 824, 1688, 267, 3478, 7759, 540, 6780, 1223, 1611, 1447, 942, 585, 1053, 547, 1451, 543, 2259, 1007, 1983, 563, 29094, 666, 948, 3237, 581, 3238, 538, 741, 1126, 779, 2069, 454, 21122, 9525, 814, 1044, 3254, 547, 723, 513, 2318, 1764, 593, 2875, 9740, 269, 769, 1249, 267, 513, 1353, 676, 519, 2817, 4741, 585, 4065, 10803, 1336, 602, 1053, 4171, 3237, 941, 3238, 538, 741, 2069, 20639, 2362, 593, 13387, 4255, 982, 1053, 4171, 3237, 941, 711, 3238, 563, 1103, 1840, 267, 2385, 9525, 666, 948, 2061, 1053, 689, 21177, 856, 540, 1153, 269, 589, 1353, 676, 519, 2817, 29100, 719, 10644, 4741, 1336, 602, 1053, 945, 1185, 693, 2547, 835, 2385, 945, 729, 3238, 538, 741, 2069, 941, 1447, 2693, 547, 6749, 856, 540, 1153, 563, 3383, 1018, 666, 3237, 798, 547, 1205, 3238, 538, 741, 1126, 779, 2069, 286, 3371, 616, 513, 1906, 10372, 912, 268, 29934, 1153, 11401, 454, 268, 21816, 17621, 538, 707, 1126, 779, 4928, 454, 268, 6435, 707, 1126, 609, 6780, 7084, 454, 268, 13185, 547, 707, 1126, 827, 1010, 610, 1200, 1554, 693, 1153, 454, 268, 13773, 909, 3562, 15082, 593, 707, 1126, 779, 3356, 1867, 543, 9344, 454, 268, 5269, 2386, 707, 1126, 568, 19801, 538, 29599, 2238, 454, 268, 11559, 707, 1126, 547, 4019, 585, 2852, 454, 268, 4855, 513, 1283, 6780, 25961, 585, 741, 1126, 865, 602, 741, 1620, 585, 513, 1880, 1888, 666, 581, 4824, 563, 29094, 666, 4001, 5539, 454, 5194, 4324, 540, 6780, 568, 602, 621, 666, 948, 1053, 1451, 5539, 269, 1635, 11264, 741, 6780, 593, 942, 267, 1053, 1451, 547, 581, 3743, 543, 6896, 269, 769, 1840, 267, 6780, 666, 849, 948, 1053, 1020, 1434, 1353, 6208, 267, 799, 786, 581, 3730, 2429, 741, 4081, 11678, 563, 5278, 1053, 991, 6780, 547, 1832, 873, 593, 3950, 454, 4407, 930, 1053, 1745, 16397, 676, 519, 2179, 540, 6780, 789, 723, 547, 798, 267, 1866, 1745, 602, 789, 991, 6780, 547, 1832, 873, 593, 3950, 269, 14581, 2488, 606, 4316, 585, 1053, 547, 2689, 519, 1570, 789, 4121, 538, 1362, 543, 2337, 873, 2259, 1007, 1983, 269, 769, 1840, 267, 6780, 666, 948, 1053, 1020, 1434, 1353, 6208, 267, 799, 2164, 538, 1732, 4081, 4093, 563, 29094, 666, 948, 1053, 1205, 1732, 9344, 454, 7197, 1053, 3494, 602, 6780, 568, 1175, 513, 3653, 540, 942, 543, 621, 3085, 1406, 948, 873, 1205, 1732, 9344, 269, 1717, 267, 1382, 814, 3254, 602, 6780, 666, 2965, 948, 1053, 2087, 741, 9344, 269, 769, 1249, 267, 513, 1353, 676, 519, 2817, 4741, 585, 4065, 10803, 1336, 602, 1053, 4171, 3237, 941, 3238, 538, 741, 3872, 1184, 20639, 2362, 593, 13387, 4255, 982, 1053, 4171, 3237, 941, 711, 3238, 563, 29094, 666, 948, 1053, 1451, 942, 2359, 1983, 454, 3080, 540, 519, 2640, 540, 6780, 568, 602, 621, 666, 948, 1053, 1451, 942, 2359, 269, 1635, 11264, 741, 6780, 593, 942, 267, 1053, 1451, 547, 581, 3743, 543, 6896, 269, 769, 1840, 267, 6780, 666, 849, 948, 1053, 1020, 1434, 1353, 6208, 267, 799, 786, 581, 3730, 2429, 741, 4081, 11678, 563, 3086, 1577, 781, 1589, 827, 1018, 1131, 4755, 952, 649, 3893, 7759, 540, 6780, 563, 2005, 781, 1100, 5728, 602, 1053, 1472, 519, 1158, 616, 10010, 609, 6780, 269, 2368, 1745, 16397, 676, 519, 2179, 789, 723, 547, 798, 267, 1247, 1866, 3274, 1810, 1405, 723, 2614, 942, 547, 1205, 621, 782, 2944, 269, 1924, 568, 621, 942, 547, 7333, 1932, 1454, 6780, 286, 2913, 781, 1491, 513, 1413, 693, 519, 2640, 540, 3257, 2476, 609, 713, 2085, 6040, 2245, 563, 10743, 1745, 16397, 676, 1932, 1454, 6780, 789, 723, 547, 798, 454, 6624, 1053, 1745, 16397, 676, 519, 2179, 540, 6780, 789, 723, 547, 798, 269, 769, 930, 2665, 267, 1053, 949, 1745, 865, 16397, 602, 789, 2253, 547, 1745, 6780, 5829, 2566, 543, 4160, 269, 901, 666, 1291, 547, 811, 2604, 538, 824, 2127, 540, 741, 2729, 267, 971, 607, 1153, 543, 1514, 1272, 563, 29094, 666, 15936, 609, 1920, 942, 454, 3080, 540, 519, 1292, 7440, 1996, 6780, 10467, 568, 602, 621, 7679, 31013, 609, 1920, 942, 563, 2691, 7820, 1053, 616, 2016, 513, 2603, 540, 6780, 267, 789, 1419, 723, 547, 15093, 942, 6170, 609, 741, 3885, 538, 1931, 547, 1205, 621, 782, 2944, 269, 901, 666, 581, 24858, 585, 1312, 3237, 543, 1453, 563, 1103, 1840, 267, 950, 3446, 1153, 1053, 6108, 1932, 1454, 942, 593, 6780, 267, 621, 666, 1291, 547, 3207, 22975, 267, 799, 666, 849, 723, 2942, 2360, 593, 741, 4081, 2773, 563, 5278, 1053, 1810, 1406, 723, 2614, 942, 547, 2347, 741, 6780, 454, 5194, 4661, 1996, 6780, 568, 602, 930, 1053, 1810, 1405, 723, 2614, 942, 547, 2347, 621, 269, 1879, 1053, 616, 2016, 513, 2603, 540, 6780, 267, 789, 1419, 723, 547, 15093, 942, 6170, 609, 741, 3885, 538, 1931, 547, 1205, 621, 782, 2944, 269, 14581, 7274, 666, 581, 24858, 585, 1312, 3237, 543, 1453, 269, 769, 1840, 267, 950, 1053, 6108, 1932, 1454, 942, 593, 6780, 267, 621, 666, 1291, 547, 3207, 22975, 267, 799, 666, 849, 723, 2942, 2360, 593, 741, 4081, 2773, 543, 2635, 13467, 563, 29094, 666, 581, 17173, 585, 1053, 454, 29094, 666, 581, 513, 2707, 540, 2566, 585, 1053, 269, 634, 6780, 2566, 585, 1053, 666, 1745, 31837, 25236, 762, 693, 2053, 267, 543, 713, 666, 1291, 547, 2042, 538, 824, 2127, 540, 741, 2729, 269, 769, 1840, 267, 950, 2852, 1053, 6108, 1932, 1454, 942, 593, 6780, 267, 621, 666, 1291, 547, 3207, 22975, 267, 799, 666, 849, 723, 2942, 2360, 593, 741, 4081, 2773, 563, 2467, 616, 5294, 543, 931, 547, 1312, 5011, 540, 519, 4661, 269, 2201, 835, 1688, 267, 2368, 1053, 1265, 2933, 4743, 14221, 950, 789, 723, 513, 2603, 540, 6780, 269, 2201, 519, 824, 1688, 267, 3478, 7759, 540, 6780, 1223, 1611, 1447, 942, 585, 1053, 547, 1451, 543, 2259, 1007, 1983, 563, 3383, 1018, 781, 519, 1318, 2626, 888, 27407, 267, 621, 568, 909, 547, 1142, 1367, 2875, 543, 1920, 547, 6430, 2436, 610, 711, 789, 1616, 547, 7333, 6780, 269, 2368, 1053, 1174, 602, 3908, 6780, 2337, 873, 1205, 1732, 9344, 267, 1247, 1866, 1265, 602, 621, 7679, 31013, 609, 1920, 942, 269, 769, 1840, 267, 930, 1053, 1810, 1406, 723, 2614, 942, 547, 2347, 741, 6780, 269, 1548, 6927, 1034, 568, 602, 1053, 616, 2016, 513, 10257, 2179, 540, 6780, 543, 602, 789, 723, 2614, 942, 547, 2347, 621, 1510, 4743, 16397, 610, 14129, 856, 563, 309, 1731, 553, 32431, 320, 568, 606, 4810, 1543, 5856, 269, 1261, 814, 1044, 1603, 585, 936, 476, 1015, 1296, 269, 3571, 1603, 568, 2312, 267, 13801, 267, 543, 3810, 13181, 267, 1818, 1864, 513, 3501, 3903, 585, 1603, 3872, 1543, 563, 7476, 513, 20131, 585, 6780, 948, 476, 2190, 270, 278, 538, 476, 2004, 266, 5396, 1519, 4569, 948, 267, 20996, 7177, 948, 543, 2296, 269, 1284, 948, 5215, 540, 1053, 1205, 1732, 9344, 1169, 1554, 269, 5192, 606, 4274, 20131, 1631, 269, 1284, 4217, 1053, 609, 741, 6780, 267, 7084, 543, 2656, 7886, 267, 1557, 1603, 267, 2978, 5359, 543, 1788, 960, 454, 268, 1341, 11011, 476, 278, 2412, 275, 4281, 24907, 5780, 454, 268, 1496, 16942, 6870, 2639, 268, 1341, 11011, 476, 278, 2412, 4366, 274, 3583, 277, 277, 454, 12749, 476, 276, 18370, 1656, 3117, 2986, 14581, 454, 3528, 281, 8191, 26391, 9652, 454, 16829, 593, 5988, 476, 2764, 267, 476, 1708, 274, 454, 290, 20975, 15080, 2073, 32279, 18542, 5999, 2073, 3427, 454, 29094, 814, 1044, 513, 851, 540, 519, 2069, 1062, 585, 513, 1279, 942, 269, 898, 568, 606, 4081, 4305, 8655, 547, 1053, 3544, 540, 2834, 1362, 942, 547, 12927, 1565, 543, 948, 873, 1020, 1983, 971, 607, 942, 2359, 267, 1582, 16162, 23002, 267, 543, 4830, 3206, 563, 4913, 267, 972, 814, 1044, 606, 5571, 7521, 827, 2436, 6780, 568, 2556, 610, 17672, 547, 513, 2875, 779, 4081, 543, 2123, 1646, 563, 19675, 1053, 723, 6780, 286, 769, 713, 2376, 267, 649, 786, 4983, 519, 5294, 543, 931, 540, 6780, 547, 948, 596, 6430, 585, 3054, 563, 763, 18370, 1656, 3117, 2986, 14581, 454, 272, 269, 4824, 1702, 12802, 267, 476, 273, 269, 4824, 4081, 9740, 267, 476, 273, 269, 3715, 1434, 1353, 6208, 267, 476, 274, 269, 2337, 5965, 585, 11400, 267, 476, 275, 269, 942, 2359, 267, 476, 276, 269, 2488, 606, 4316, 585, 2385, 1489, 267, 476, 272, 269, 2799, 2566, 543, 4160, 267, 476, 273, 269, 711, 2614, 1863, 942, 267, 476, 274, 269, 2168, 4539, 267, 476, 275, 269, 11097, 839, 8635, 7934, 267, 476, 276, 269, 711, 2141, 2500, 267, 519, 7521, 936, 6780, 267, 519, 1909, 540, 3237, 543, 3610, 538, 6780, 267, 3932, 4586, 2414, 1683, 596, 609, 513, 5758, 540, 519, 2640, 543, 19363, 540, 6780, 267, 649, 723, 8947, 930, 1883, 7440, 563, 4131, 779, 1376, 676, 2921, 513, 6251, 1413, 693, 519, 1761, 2640, 602, 10467, 666, 1683, 585, 1053, 563, 763, 11588, 540, 14581, 454, 2026, 1053, 267, 649, 723, 782, 9240, 534, 539, 693, 519, 2219, 540, 6780, 267, 855, 1705, 596, 917, 602, 6780, 666, 2965, 581, 6225, 286, 1703, 616, 1082, 4128, 1946, 6780, 10467, 666, 581, 1434, 585, 596, 269, 2913, 779, 1491, 513, 6251, 1413, 693, 6780, 779, 5294, 543, 1946, 621, 2640, 1053, 563, 3080, 540, 519, 1292, 2640, 540, 6780, 568, 2799, 1702, 12802, 269, 1879, 1053, 2689, 543, 2259, 1018, 789, 723, 4121, 538, 1362, 267, 621, 2337, 547, 4396, 1518, 519, 1344, 538, 741, 8186, 563, 29094, 2636, 513, 2875, 547, 5490, 883, 513, 1888, 676, 2469, 1394, 543, 13288, 547, 1018, 729, 6026, 538, 1362, 543, 3257, 3606, 1382, 676, 2933, 267, 3056, 547, 513, 4514, 1620, 540, 513, 1888, 269, 901, 666, 581, 2523, 1271, 585, 5396, 602, 1628, 2390, 3105, 1702, 267, 971, 607, 2979, 610, 2257, 563, 2467, 779, 711, 2141, 2614, 942, 585, 1053, 538, 519, 1153, 1554, 547, 4628, 10146, 4295, 2035, 267, 855, 6780, 666, 25559, 1346, 2360, 267, 4543, 1053, 538, 519, 1279, 2196, 267, 1256, 952, 789, 666, 1406, 1294, 621, 5612, 563, 3528, 11264, 6780, 10467, 267, 1053, 666, 12927, 741, 1620, 540, 519, 1570, 543, 2087, 741, 2949, 8223, 563, 29094, 814, 1044, 3254, 547, 2087, 2875, 9740, 538, 2474, 540, 9344, 267, 1449, 8464, 267, 543, 2852, 10343, 3928, 269, 4340, 547, 513, 7548, 693, 16099, 2160, 267, 972, 568, 513, 9756, 1063, 6780, 543, 4081, 1967, 585, 4587, 1053, 563, 288, 1353, 3370, 538, 519, 4400, 3427, 4750, 1336, 602, 1053, 945, 6108, 1063, 476, 4029, 543, 476, 3445, 3764, 1142, 1554, 593, 6780, 968, 2675, 1819, 827, 476, 2412, 2798, 2362, 593, 519, 20389, 5336, 520, 24136, 5705, 652, 982, 741, 9905, 267, 945, 4080, 7836, 1100, 942, 593, 6780, 1142, 1554, 267, 593, 3328, 3034, 1103, 513, 1353, 5342, 676, 519, 4659, 585, 519, 5530, 540, 8534, 630, 22003, 288, 1070, 8695, 945, 1185, 811, 6780, 1185, 2362, 13382, 2026, 543, 513, 2362, 10171, 540, 11504, 2852, 269, 634, 3328, 1164, 1153, 7911, 945, 13984, 2852, 1705, 811, 982, 1614, 3108, 540, 3063, 6780, 513, 3018, 563, 29094, 666, 849, 948, 547, 2087, 1353, 6208, 269, 4841, 666, 1020, 513, 6296, 543, 3715, 1434, 1353, 6208, 676, 4259, 11735, 942, 1142, 1554, 547, 2347, 4247, 269, 901, 666, 581, 2523, 5363, 585, 1053, 945, 6560, 609, 942, 2359, 610, 22876, 2858, 1588, 269, 1635, 3478, 883, 519, 4356, 540, 11264, 6780, 10467, 5781, 267, 1053, 666, 1020, 513, 2631, 540, 9015, 543, 5539, 563, 763, 9015, 540, 2259, 543, 7029, 602, 4422, 883, 3257, 5667, 10967, 14876, 6780, 543, 4830, 1565, 5012, 547, 4824, 1353, 1983, 543, 6208, 269, 769, 519, 1279, 2196, 267, 519, 2702, 547, 1353, 543, 798, 1382, 676, 3054, 2306, 621, 2009, 585, 596, 547, 1451, 875, 547, 581, 811, 3860, 543, 1265, 2081, 547, 4019, 707, 1620, 540, 1362, 960, 563, 288, 2875, 779, 6780, 666, 849, 581, 513, 3407, 1259, 547, 5965, 585, 11400, 269, 1306, 513, 1267, 540, 11264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1977, 4521, 476, 1220, 279, 267, 968, 21809, 1393, 2223, 5291, 2517, 29729, 1673, 5315, 31677, 325, 7517, 5315, 2593, 23995, 520, 1393, 266, 18721, 264, 2304, 957, 540, 513, 23328, 602, 32141, 267, 605, 30533, 525, 267, 610, 12981, 1945, 282, 513, 1808, 1876, 267, 6829, 538, 1603, 269, 589, 29417, 568, 513, 2854, 1876, 5293, 676, 513, 23328, 593, 519, 1533, 610, 5313, 1377, 269, 6465, 2373, 1305, 8521, 2489, 3981, 1431, 540, 1876, 602, 10470, 4019, 547, 1808, 3871, 269, 589, 29417, 949, 17246, 573, 513, 1978, 957, 2073, 1463, 513, 1978, 957, 267, 1118, 513, 17083, 267, 610, 1305, 8521, 22257, 6127, 547, 5351, 2486, 269, 589, 29417, 5956, 607, 513, 3915, 6069, 610, 23032, 676, 513, 9777, 1807, 269, 1403, 519, 3915, 3470, 1161, 519, 15424, 12233, 1184, 543, 568, 9516, 676, 1312, 8075, 540, 519, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17746, 6627, 28604, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 19410, 776, 1299, 32722, 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, 20821, 8262, 6154, 4215, 267, 606, 5863, 986, 3899, 543, 7376, 945, 4422, 676, 519, 3942, 2012, 834, 20075, 523, 540, 645, 8784, 257, 610, 834, 763, 10348, 6555, 320, 1701, 1411, 1522, 581, 11842, 1018, 834, 321, 8784, 257, 1797, 1107, 621, 781, 2965, 513, 2511, 540, 12048, 31022, 2575, 602, 729, 4535, 538, 8262, 6154, 4215, 781, 554, 32528, 267, 1715, 20252, 267, 538, 519, 476, 1960, 271, 338, 256, 5994, 2469, 1394, 538, 942, 543, 15472, 547, 713, 18512, 543, 909, 18566, 2575, 609, 707, 2828, 269, 15346, 267, 1318, 2496, 3086, 267, 596, 1522, 1589, 602, 986, 6137, 568, 782, 827, 3728, 30053, 543, 3532, 20054, 267, 855, 972, 781, 811, 982, 10742, 519, 3750, 630, 528, 1274, 1040, 1703, 616, 1114, 2010, 540, 22850, 11964, 856, 972, 267, 1175, 899, 875, 972, 616, 1585, 4672, 8645, 10366, 547, 3442, 689, 256, 1280, 3236, 267, 8262, 6154, 4215, 10905, 1896, 6163, 547, 1711, 1945, 2189, 1572, 1412, 289, 8784, 14943, 9538, 898, 24025, 2609, 689, 4244, 12048, 5577, 267, 6850, 267, 7544, 267, 543, 1256, 5907, 7544, 2575, 630, 3633, 300, 25631, 6056, 540, 621, 607, 1818, 513, 8949, 4829, 19997, 1141, 1142, 4062, 4564, 513, 9135, 4947, 1927, 547, 1106, 835, 17705, 3575, 780, 3383, 267, 1577, 781, 2911, 827, 8262, 6154, 4215, 781, 3460, 269, 6969, 4742, 4583, 267, 1352, 3323, 2324, 24015, 538, 476, 1960, 280, 267, 7683, 1565, 543, 3395, 607, 606, 7376, 269, 1656, 1287, 3357, 513, 1272, 19145, 2680, 538, 476, 1001, 275, 910, 519, 5305, 540, 1200, 3791, 17581, 11331, 834, 9617, 2142, 5131, 10590, 901, 9735, 2594, 6603, 1297, 476, 2764, 593, 519, 2475, 14333, 932, 11301, 267, 2495, 1004, 2731, 6068, 6947, 547, 621, 256, 2334, 1590, 723, 5433, 6909, 780, 3719, 7227, 267, 972, 781, 1776, 2601, 1946, 649, 917, 865, 1454, 827, 8262, 6154, 4215, 269, 5457, 519, 5152, 834, 13528, 566, 257, 676, 22530, 541, 22256, 2142, 27267, 322, 2946, 286, 4270, 267, 7058, 4171, 13007, 8329, 547, 922, 1967, 286, 8786, 267, 938, 1360, 1378, 10348, 540, 645, 8784, 256, 11554, 7258, 28245, 666, 948, 5159, 2744, 6284, 543, 3914, 9962, 9458, 267, 1454, 899, 4687, 707, 5172, 1433, 16252, 609, 1312, 707, 15032, 6730, 741, 4587, 16254, 269, 1215, 3579, 568, 602, 4276, 31841, 7661, 267, 1705, 596, 917, 602, 8262, 6154, 4215, 729, 4535, 593, 5130, 476, 2764, 267, 476, 3192, 279, 286, 1306, 952, 2870, 15813, 2575, 7012, 1405, 2614, 267, 1631, 596, 849, 2671, 513, 14512, 3923, 609, 713, 11121, 4137, 256, 1924, 1985, 942, 596, 6432, 547, 930, 1187, 20054, 610, 2972, 513, 1390, 2773, 267, 3314, 602, 2182, 960, 543, 11428, 666, 1491, 596, 4025, 1175, 899, 789, 1705, 585, 8262, 6154, 4215, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19136, 6154, 4215, 4880, 29247, 281, 1548, 568, 6154, 4215, 4880, 29247, 888, 19136, 6154, 4215, 568, 513, 1715, 20252, 267, 17039, 23899, 1977, 986, 3899, 267, 543, 7376, 269, 4173, 2016, 2012, 568, 12049, 23135, 17664, 267, 4352, 1352, 568, 1655, 1634, 607, 8262, 6154, 4215, 267, 10348, 540, 645, 8784, 267, 610, 634, 10348, 6555, 320, 563, 26466, 4215, 9782, 547, 23146, 1310, 23712, 609, 1164, 3491, 12803, 2582, 2142, 27267, 576, 593, 1200, 2736, 719, 3950, 19725, 267, 799, 4682, 593, 547, 3094, 513, 12896, 3240, 13815, 563, 26466, 4215, 9782, 547, 23146, 585, 2442, 2358, 519, 25483, 1826, 540, 12048, 31022, 2575, 267, 799, 1352, 1101, 5189, 547, 519, 1158, 538, 1200, 554, 32528, 540, 1715, 20252, 538, 519, 476, 1960, 271, 338, 269, 2701, 3459, 1200, 3318, 4876, 538, 476, 1960, 280, 267, 26399, 1082, 6090, 971, 607, 20010, 31177, 14929, 267, 5082, 549, 267, 19933, 267, 645, 8784, 267, 543, 11581, 300, 563, 19136, 6154, 4215, 1500, 1200, 7574, 26813, 538, 476, 1220, 274, 609, 519, 5305, 540, 1200, 26813, 18638, 17581, 10348, 6555, 320, 269, 1717, 267, 519, 11358, 4090, 538, 1200, 4876, 7018, 538, 476, 1001, 275, 267, 950, 1352, 5950, 1200, 3791, 18638, 17581, 267, 3807, 2142, 5131, 267, 799, 8445, 539, 693, 1948, 2764, 593, 519, 2475, 14333, 12125, 563, 763, 476, 2764, 628, 540, 5130, 476, 3192, 279, 1336, 8262, 6154, 4215, 1373, 20888, 883, 519, 702, 331, 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, 6637, 593, 4197, 661, 5550, 850, 21619, 10818, 630, 3633, 2567, 589, 2657, 13445, 692, 5970, 596, 2479, 4862, 707, 3237, 610, 4587, 16254, 2911, 827, 16245, 850, 14524, 286, 2107, 6148, 596, 4312, 2938, 5010, 338, 827, 6527, 585, 11581, 1247, 8384, 7641, 609, 707, 1920, 269, 1411, 1522, 723, 9289, 1018, 4010, 16245, 850, 14524, 1797, 267, 945, 621, 5540, 267, 543, 1946, 621, 4523, 269, 4270, 267, 1577, 781, 4685, 883, 1620, 713, 1072, 1523, 2439, 5575, 1055, 267, 1018, 568, 16245, 850, 14524, 286, 5994, 596, 616, 25738, 909, 513, 17891, 282, 2011, 8928, 538, 998, 519, 6679, 543, 25361, 909, 519, 17891, 2394, 621, 4991, 8273, 543, 9875, 269, 634, 1482, 3364, 4523, 3330, 938, 4703, 950, 649, 1205, 9599, 610, 5828, 593, 1107, 1973, 678, 16640, 883, 1978, 2127, 267, 4929, 873, 547, 2220, 749, 543, 13888, 523, 269, 1280, 8695, 543, 2367, 267, 835, 540, 1346, 2127, 568, 1572, 519, 4050, 529, 269, 1879, 789, 1831, 16770, 26901, 539, 267, 741, 12058, 6494, 6786, 1524, 741, 838, 1149, 543, 856, 547, 741, 4050, 2478, 267, 10213, 519, 1973, 8043, 972, 547, 1930, 2647, 865, 602, 6266, 540, 1973, 666, 2097, 678, 5241, 538, 269, 1306, 513, 1267, 267, 519, 4050, 529, 21040, 543, 2182, 839, 267, 2870, 606, 552, 14431, 780, 3086, 267, 4952, 952, 1945, 941, 17527, 602, 13374, 1063, 519, 2634, 543, 519, 4050, 529, 267, 7303, 2614, 1973, 689, 3478, 998, 269, 2334, 1131, 1611, 1100, 552, 14431, 256, 1656, 602, 267, 1250, 2828, 267, 568, 9247, 1018, 16245, 850, 14524, 568, 782, 827, 269, 1703, 616, 1896, 4128, 1946, 2576, 1522, 1995, 11581, 1384, 272, 269, 8447, 12983, 281, 10819, 609, 1973, 10009, 610, 8229, 3441, 1813, 547, 2175, 899, 3987, 267, 1164, 8501, 267, 8377, 267, 7296, 267, 610, 1256, 7063, 666, 1860, 875, 1134, 6835, 2951, 689, 519, 2634, 547, 519, 4050, 529, 269, 1403, 891, 6835, 1810, 1405, 3914, 741, 10278, 5265, 267, 621, 3587, 4101, 547, 3035, 610, 2226, 606, 552, 14431, 563, 273, 269, 16723, 11790, 281, 6884, 267, 4606, 971, 607, 2566, 267, 4160, 267, 610, 4965, 666, 1764, 513, 1268, 781, 2702, 547, 1445, 593, 4638, 2534, 269, 1452, 4664, 949, 2014, 8082, 538, 519, 1560, 267, 1818, 621, 9875, 585, 1973, 547, 2095, 11884, 543, 1711, 606, 552, 14431, 563, 274, 269, 8644, 18480, 13809, 281, 3776, 4638, 13821, 267, 849, 1634, 607, 5391, 573, 657, 267, 1404, 513, 1713, 1909, 538, 4742, 16770, 26901, 539, 269, 1403, 2576, 2833, 1970, 5391, 18480, 267, 2436, 17303, 610, 1279, 3856, 267, 621, 666, 581, 1454, 811, 2352, 547, 9594, 610, 2844, 606, 552, 14431, 780, 2005, 781, 1898, 547, 917, 602, 7680, 17573, 7965, 8236, 610, 4509, 606, 552, 14431, 3884, 1405, 8209, 22566, 540, 11581, 269, 1717, 267, 952, 621, 4386, 4749, 543, 5222, 3347, 610, 1582, 12635, 267, 5275, 2564, 5796, 568, 2629, 269, 5457, 267, 1498, 267, 602, 948, 568, 2139, 267, 543, 1004, 10010, 609, 11581, 5749, 1405, 4805, 269, 4340, 547, 7194, 267, 6634, 540, 2367, 5001, 3068, 2147, 2591, 267, 2495, 9118, 2200, 2291, 547, 1489, 2043, 7231, 609, 11581, 780, 1103, 3932, 267, 16245, 850, 14524, 568, 513, 1950, 2943, 4241, 2460, 540, 1480, 17550, 269, 1635, 1565, 827, 922, 5817, 3123, 543, 2360, 267, 649, 666, 1732, 1174, 6000, 543, 1866, 1472, 721, 269, 5047, 267, 1373, 3222, 540, 11581, 2636, 721, 547, 5660, 519, 2956, 540, 2949, 1072, 543, 9716, 267, 8716, 2635, 6208, 543, 7391, 4478, 713, 1419, 29144, 1888, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 292, 516, 2388, 616, 3361, 676, 2799, 1973, 2095, 547, 519, 4050, 529, 269, 901, 3123, 519, 16245, 850, 5160, 1369, 519, 4050, 529, 547, 4228, 543, 2182, 523, 269, 901, 1184, 568, 15427, 950, 513, 812, 3587, 16770, 26901, 539, 267, 799, 3123, 519, 2634, 547, 6494, 519, 2556, 6786, 547, 519, 13285, 538, 519, 4050, 529, 563, 12179, 2251, 602, 7679, 31013, 609, 713, 1184, 1223, 1291, 547, 16245, 850, 14524, 630, 3633, 1040, 901, 1223, 581, 2168, 2042, 609, 519, 8401, 1062, 610, 1973, 10009, 267, 610, 621, 1223, 581, 513, 5626, 3390, 267, 971, 607, 4965, 269, 32506, 602, 5540, 513, 812, 779, 5391, 18480, 630, 25757, 7287, 264, 666, 5555, 1291, 547, 16245, 850, 14524, 269, 7102, 2530, 540, 5391, 18480, 786, 1118, 621, 811, 2352, 547, 9594, 610, 2844, 606, 552, 14431, 563, 3633, 24412, 281, 596, 616, 711, 4805, 454, 2690, 1082, 267, 16245, 850, 14524, 666, 581, 606, 13943, 1888, 267, 2523, 585, 519, 7820, 5108, 269, 898, 568, 1271, 547, 3314, 602, 6634, 540, 824, 2367, 616, 4299, 676, 519, 1482, 1966, 543, 602, 621, 568, 1360, 1521, 762, 563, 2252, 596, 616, 7092, 689, 16245, 850, 14524, 621, 568, 5227, 547, 3343, 544, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 31178, 1299, 32362, 1315, 11557, 7081, 1315, 661, 5550, 850, 21619, 10818, 630, 3633, 1040, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17138, 281, 1215, 547, 1763, 564, 513, 595, 8646, 8713, 268, 8064, 275, 271, 294, 7379, 25439, 547, 31543, 4347, 5435, 692, 1262, 28830, 1411, 3513, 10261, 16001, 272, 269, 589, 595, 8646, 8713, 268, 8064, 275, 271, 294, 7379, 6049, 454, 273, 269, 7457, 547, 519, 6049, 781, 5468, 998, 2901, 519, 2168, 16181, 610, 1357, 8818, 454, 274, 269, 9978, 1620, 540, 3060, 19383, 543, 10873, 692, 1262, 7072, 12533, 1607, 2376, 786, 3391, 596, 998, 519, 1184, 540, 19268, 1154, 707, 595, 8646, 8713, 268, 8064, 275, 271, 294, 7379, 6049, 547, 922, 12051, 9949, 5468, 269, 901, 666, 581, 3730, 950, 596, 1616, 547, 1376, 4195, 609, 1007, 19383, 267, 8207, 2152, 602, 3112, 581, 6378, 6382, 267, 610, 2132, 519, 3926, 547, 922, 3312, 1533, 1354, 9513, 610, 4758, 621, 2476, 269, 1284, 4312, 7745, 1524, 713, 4305, 883, 2241, 3268, 609, 2143, 3137, 543, 5363, 4388, 2059, 519, 1259, 780, 1262, 3721, 476, 272, 281, 700, 11229, 519, 1412, 15675, 262, 29502, 12533, 4002, 519, 595, 8646, 8713, 268, 8064, 275, 271, 294, 7379, 6049, 267, 1265, 519, 1412, 15675, 262, 7735, 4092, 693, 519, 5377, 1318, 7944, 540, 519, 1883, 25247, 269, 898, 568, 6825, 607, 1412, 306, 601, 8339, 634, 8564, 7735, 5713, 2789, 5301, 267, 971, 607, 30260, 25926, 543, 10188, 27487, 780, 265, 7659, 17785, 15846, 25800, 3054, 609, 824, 1455, 10569, 899, 1412, 306, 9116, 902, 3299, 1412, 20055, 3299, 543, 1412, 12988, 262, 799, 616, 849, 1271, 585, 12445, 1282, 713, 5650, 780, 1262, 3721, 476, 273, 281, 9373, 5590, 1575, 25042, 12533, 18208, 543, 3180, 519, 1412, 15675, 262, 7735, 2394, 519, 4159, 2982, 1412, 11767, 14764, 286, 8339, 24793, 519, 7735, 543, 1287, 2046, 1412, 15675, 262, 1586, 547, 4283, 14764, 7154, 269, 3767, 596, 1058, 1294, 1412, 13729, 1575, 10624, 262, 10268, 593, 519, 5496, 780, 265, 28223, 15846, 2142, 3461, 1247, 8066, 1524, 519, 1412, 15675, 262, 7735, 282, 621, 949, 1491, 513, 7008, 7643, 585, 1412, 11767, 14764, 286, 262, 547, 2408, 780, 1262, 3721, 476, 274, 281, 13782, 622, 547, 10029, 23994, 12533, 8794, 519, 15561, 10569, 267, 20801, 1524, 547, 1412, 3849, 3439, 1674, 262, 543, 2046, 1412, 15675, 8339, 3245, 1934, 267, 6330, 2417, 547, 1412, 15542, 800, 1763, 564, 262, 780, 265, 7659, 17785, 15846, 5457, 602, 10296, 2451, 610, 1318, 21985, 7575, 1063, 3681, 23276, 267, 6466, 909, 610, 1524, 21985, 1847, 19794, 1369, 8638, 780, 1262, 3721, 476, 275, 281, 9024, 5573, 31543, 1763, 564, 12533, 11947, 2775, 1412, 15542, 800, 1763, 564, 262, 1210, 519, 15561, 10569, 543, 2824, 621, 676, 10296, 1412, 15675, 8339, 4762, 3305, 707, 9837, 547, 19268, 676, 8939, 1412, 8133, 262, 689, 519, 1985, 5401, 269, 7490, 4063, 602, 7900, 513, 12051, 19268, 2144, 1162, 782, 16419, 5468, 543, 1239, 780, 265, 30131, 8074, 15846, 5269, 2386, 596, 723, 10710, 1022, 2556, 1344, 1354, 23312, 1317, 713, 2962, 3112, 581, 3768, 821, 2439, 1262, 3721, 476, 276, 281, 27016, 585, 7388, 5406, 12533, 763, 6049, 786, 1631, 6450, 2393, 3294, 8850, 1310, 21757, 782, 3593, 1239, 543, 19620, 12051, 9949, 338, 269, 13689, 2390, 519, 2179, 540, 6740, 1344, 267, 713, 1223, 1491, 1896, 3764, 269, 4438, 713, 942, 267, 798, 711, 14443, 1379, 3761, 610, 3801, 547, 7500, 519, 6049, 780, 265, 1432, 19732, 839, 19992, 519, 2480, 25333, 286, 15846, 27400, 513, 12051, 19268, 18788, 2123, 7375, 267, 1289, 1686, 20743, 267, 12725, 6740, 17066, 267, 3060, 5468, 267, 543, 3354, 18538, 1851, 1866, 269, 4495, 17468, 267, 519, 6049, 7024, 547, 922, 856, 6361, 7308, 1532, 2135, 2783, 780, 1262, 3721, 476, 277, 281, 5590, 5455, 2659, 25439, 11088, 12533, 5475, 519, 19268, 267, 1305, 909, 707, 595, 8646, 8713, 268, 8064, 275, 271, 294, 7379, 6049, 606, 1168, 2687, 547, 707, 4170, 910, 4358, 609, 8220, 621, 547, 707, 3060, 267, 8848, 1005, 6237, 5468, 267, 1893, 13283, 267, 4266, 1299, 942, 267, 3092, 1421, 4553, 676, 4259, 909, 24909, 267, 642, 18757, 16942, 10833, 267, 543, 3432, 3866, 2338, 952, 2877, 780, 265, 8855, 15846, 4595, 596, 4312, 1175, 5340, 513, 12051, 19268, 267, 3388, 2115, 547, 581, 27358, 606, 1168, 269, 5213, 1405, 7340, 547, 5150, 707, 6049, 609, 2178, 14721, 22754, 2899, 811, 2439, 23558, 256, 1411, 4312, 6707, 19268, 707, 595, 8646, 8713, 268, 8064, 275, 271, 294, 7379, 6049, 547, 922, 12051, 9949, 5468, 269, 1635, 1739, 891, 2653, 3562, 268, 16187, 5528, 267, 596, 24458, 513, 5347, 543, 3811, 19268, 1184, 1510, 25884, 11991, 8374, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 4910, 564, 513, 595, 335, 476, 8064, 275, 271, 294, 7379, 25439, 547, 31543, 4347, 5435, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 7170, 281, 12650, 1005, 14716, 543, 5915, 565, 819, 910, 589, 22878, 23874, 2439, 7072, 912, 5970, 596, 2479, 2938, 513, 4070, 3135, 543, 9289, 827, 782, 519, 2182, 960, 602, 4422, 883, 2870, 513, 1007, 2679, 286, 2107, 6148, 596, 4312, 15336, 2250, 606, 2025, 267, 14460, 2679, 1175, 1354, 621, 4991, 14324, 1524, 269, 5637, 4070, 543, 23542, 819, 4609, 2709, 2189, 3255, 585, 21706, 547, 7001, 4241, 2592, 269, 2913, 781, 7832, 593, 513, 10344, 7045, 5059, 593, 11265, 543, 4853, 5396, 899, 891, 2439, 4089, 476, 272, 281, 4197, 14716, 1299, 5915, 565, 819, 26317, 692, 288, 4070, 3135, 568, 1141, 26767, 1711, 1945, 1007, 1107, 713, 1223, 581, 4376, 689, 513, 2777, 547, 513, 1236, 903, 28755, 704, 269, 1358, 1376, 609, 513, 1544, 267, 5531, 2326, 630, 3697, 6405, 267, 5374, 267, 3574, 1070, 543, 946, 1585, 2645, 543, 12227, 547, 2322, 3388, 1927, 4062, 676, 4062, 2394, 789, 723, 3710, 519, 2497, 780, 4002, 519, 824, 1688, 267, 513, 23542, 819, 3135, 568, 1141, 3889, 616, 5402, 3144, 6306, 269, 901, 1522, 4755, 950, 513, 2679, 568, 1932, 2025, 267, 22247, 267, 610, 1100, 3476, 2877, 269, 7981, 3937, 568, 1031, 547, 9108, 3142, 1524, 519, 2679, 1247, 10893, 2800, 547, 519, 1604, 780, 32552, 3689, 2336, 6524, 9683, 1022, 4070, 610, 23542, 819, 3135, 267, 3314, 602, 3106, 2501, 1101, 269, 11408, 2307, 10479, 689, 519, 1004, 2324, 972, 543, 1246, 741, 3652, 269, 1411, 949, 991, 547, 5957, 8825, 10591, 971, 607, 513, 24743, 267, 17309, 267, 543, 19756, 10887, 269, 1656, 2760, 979, 2282, 5230, 12227, 8259, 5143, 6382, 2439, 4089, 476, 273, 281, 10289, 3414, 2659, 30776, 692, 2691, 2921, 6337, 540, 4070, 543, 23542, 819, 4609, 267, 2119, 1114, 7285, 543, 5380, 269, 6733, 909, 2509, 519, 32399, 2694, 540, 5656, 896, 4070, 610, 1265, 4277, 3877, 2673, 5346, 269, 2060, 23542, 1431, 267, 1445, 593, 13830, 8090, 1354, 543, 1310, 519, 2680, 267, 899, 8900, 5624, 7996, 547, 1831, 1945, 1007, 610, 10578, 3270, 2451, 3297, 2899, 6821, 2097, 1524, 780, 2080, 616, 930, 2010, 540, 15833, 596, 666, 4603, 609, 1384, 265, 22453, 1744, 1824, 281, 8058, 13826, 519, 3003, 6429, 865, 13588, 1174, 519, 2450, 543, 9165, 540, 1018, 781, 1373, 9112, 610, 632, 24554, 539, 563, 265, 19171, 27138, 1186, 281, 20023, 538, 593, 1808, 2609, 899, 10477, 12904, 267, 9403, 540, 20398, 267, 610, 4600, 5665, 3937, 563, 265, 11059, 1744, 1824, 281, 12650, 675, 3350, 267, 2436, 621, 781, 1835, 6951, 17666, 5230, 3615, 267, 4439, 671, 9926, 619, 11319, 6299, 1076, 267, 610, 1004, 17200, 532, 18969, 780, 4089, 476, 274, 281, 570, 2454, 12267, 3414, 3203, 692, 21900, 20802, 1419, 2995, 2984, 998, 741, 5961, 269, 2311, 513, 4070, 3135, 267, 2015, 6029, 3356, 936, 942, 609, 2789, 6337, 25643, 922, 1646, 269, 1280, 23542, 819, 4609, 267, 5031, 4334, 1063, 519, 1412, 29592, 262, 543, 1412, 12898, 10086, 10771, 1689, 780, 13914, 21176, 827, 9306, 707, 3126, 540, 11147, 269, 6333, 25786, 873, 12225, 10999, 267, 2427, 8386, 20933, 16198, 267, 610, 1256, 7432, 873, 883, 513, 2110, 3381, 15942, 6011, 1305, 547, 2575, 780, 11900, 17508, 5384, 281, 5398, 3203, 12305, 566, 692, 5331, 2348, 707, 1360, 1378, 1857, 1148, 10380, 2813, 2523, 585, 513, 1747, 596, 5280, 1374, 256, 2334, 781, 4010, 1018, 5949, 585, 2199, 7376, 20917, 8061, 710, 950, 646, 32524, 609, 570, 299, 7374, 15339, 593, 741, 1977, 3397, 290, 13072, 1788, 269, 4635, 8407, 899, 5374, 267, 11956, 267, 543, 19730, 267, 20917, 18705, 10875, 4773, 15386, 1010, 7499, 5075, 1369, 519, 9241, 3710, 2230, 780, 2026, 513, 23031, 267, 4161, 3054, 547, 4952, 875, 707, 4070, 543, 23542, 819, 6337, 1223, 8300, 5159, 547, 6451, 741, 13144, 883, 2104, 3785, 269, 5457, 267, 1169, 4605, 6645, 513, 1650, 267, 543, 16523, 1522, 8141, 6667, 585, 1866, 2439, 310, 1905, 5455, 1384, 3528, 3695, 4070, 543, 23542, 819, 4609, 998, 10344, 267, 596, 2811, 1565, 3407, 1983, 543, 11543, 4030, 883, 1312, 3140, 2242, 543, 2413, 2208, 8345, 1472, 596, 269, 1924, 10544, 707, 8254, 267, 2327, 3106, 15416, 616, 1558, 267, 543, 1577, 707, 5876, 19542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 26950, 7374, 779, 5571, 29879, 13723, 2245, 568, 9687, 543, 649, 616, 4278, 2683, 547, 10950, 3860, 4648, 547, 2671, 741, 1184, 267, 6612, 543, 11247, 609, 938, 2319, 269, 1284, 5063, 1185, 8891, 531, 6373, 9380, 528, 20917, 8061, 710, 6443, 721, 543, 646, 4547, 1082, 1507, 4336, 4773, 799, 646, 9415, 721, 547, 5905, 543, 4983, 269, 20917, 1568, 538, 8407, 2507, 5374, 267, 11956, 543, 19730, 543, 31267, 4190, 7648, 4470, 593, 519, 4496, 543, 519, 18138, 2126, 563, 300, 3430, 729, 20827, 676, 570, 299, 7374, 547, 1711, 513, 2688, 10380, 693, 938, 1977, 3397, 290, 13072, 1788, 538, 13244, 28266, 269, 898, 3085, 1406, 1205, 1454, 1732, 982, 8888, 513, 2679, 689, 519, 3330, 856, 267, 609, 2688, 11647, 3435, 543, 606, 5863, 4015, 540, 1148, 563, 11847, 19948, 538, 519, 5842, 12770, 7345, 1858, 568, 676, 17363, 645, 28625, 321, 731, 20963, 8551, 563, 763, 1977, 3397, 290, 13072, 10361, 18392, 2679, 814, 4607, 519, 30482, 31786, 5071, 13815, 540, 28742, 689, 519, 5842, 12770, 3848, 540, 519, 7629, 636, 3215, 7177, 5980, 269, 570, 299, 7374, 15339, 779, 5122, 11653, 543, 8654, 964, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17746, 2315, 1299, 5915, 565, 819, 257, 607, 851, 540, 834, 15771, 5588, 24209, 1315, 23527, 1299, 21771, 1315, 11629, 1116, 1299, 11633, 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, 7982, 950, 594, 729, 11504, 8092, 5658, 5441, 538, 10925, 2284, 267, 28599, 267, 594, 2968, 3238, 538, 606, 8966, 855, 4241, 13395, 1719, 910, 8013, 3181, 908, 1210, 21372, 267, 5553, 6040, 10952, 6436, 269, 901, 15116, 2250, 830, 16668, 513, 1507, 1895, 540, 721, 945, 4278, 1882, 593, 18167, 883, 1950, 2093, 543, 10150, 8486, 1154, 938, 530, 1080, 1996, 835, 1776, 269, 3776, 5172, 11018, 5544, 729, 519, 2199, 6995, 6300, 267, 1141, 649, 1131, 6612, 2299, 8044, 827, 3388, 689, 853, 334, 6291, 781, 1909, 538, 2413, 7881, 547, 519, 26350, 540, 2274, 30519, 714, 1014, 21042, 12695, 780, 3080, 1554, 267, 607, 649, 941, 7234, 2436, 1955, 28609, 23006, 781, 28547, 16122, 1223, 17854, 17154, 1143, 630, 13433, 267, 649, 5963, 798, 557, 883, 519, 1034, 4351, 3584, 1070, 513, 812, 14059, 938, 3349, 269, 1261, 6743, 27278, 676, 938, 6643, 267, 865, 649, 20888, 1864, 547, 6443, 721, 267, 14322, 646, 3274, 4941, 547, 1451, 811, 827, 938, 7521, 1888, 269, 9741, 1705, 649, 917, 267, 1010, 15752, 5828, 856, 547, 581, 2484, 811, 9159, 982, 649, 2479, 17191, 780, 1607, 24928, 5189, 5128, 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 ]
[ 626, 18788, 3710, 5346, 15799, 543, 25188, 541, 689, 707, 4522, 1354, 454, 16352, 1164, 1973, 4006, 689, 3987, 666, 2014, 3875, 1072, 2042, 267, 543, 19890, 713, 1281, 711, 23868, 707, 5711, 1072, 269, 12128, 5540, 5959, 1072, 1317, 621, 5540, 707, 1560, 779, 4761, 3210, 269, 24664, 1176, 267, 972, 616, 1919, 596, 666, 798, 267, 899, 2259, 1434, 5711, 9882, 267, 538, 1931, 547, 2149, 707, 1072, 269, 1215, 454, 289, 611, 6208, 666, 581, 2182, 547, 3247, 267, 855, 1434, 6208, 666, 581, 8449, 607, 2182, 547, 1376, 256, 1717, 267, 621, 568, 1271, 547, 2936, 2635, 6208, 883, 707, 3232, 5711, 1416, 6296, 538, 1931, 547, 1491, 519, 1655, 1416, 540, 707, 4522, 543, 14779, 269, 5525, 1397, 621, 3217, 827, 1079, 3275, 454, 291, 1581, 18032, 616, 513, 1390, 4244, 547, 2067, 4522, 585, 2550, 945, 723, 11124, 689, 5694, 2530, 269, 1955, 17852, 616, 5266, 1007, 1765, 4818, 1563, 547, 3435, 899, 13123, 543, 7202, 999, 11652, 723, 4957, 519, 2729, 540, 2550, 10876, 269, 15482, 18032, 666, 581, 8628, 610, 5110, 762, 4470, 593, 1018, 2306, 1034, 2631, 585, 707, 6197, 563, 20540, 7267, 2068, 267, 849, 1634, 607, 10733, 2068, 267, 4386, 950, 4551, 13976, 909, 1063, 707, 14779, 543, 4522, 269, 1403, 2451, 15860, 267, 713, 4551, 7140, 883, 15799, 267, 1287, 25188, 541, 267, 543, 5555, 13976, 909, 547, 27731, 2068, 269, 634, 1434, 3377, 568, 602, 27731, 2068, 666, 581, 14284, 543, 5701, 269, 2311, 2672, 342, 2033, 324, 4741, 585, 454, 16352, 513, 12837, 596, 2461, 10583, 540, 8992, 2949, 1582, 21873, 267, 543, 649, 3494, 16764, 19262, 547, 1745, 1434, 827, 2933, 269, 24664, 1176, 267, 972, 616, 1082, 5959, 5574, 2139, 547, 2087, 707, 12837, 267, 543, 32320, 619, 616, 1851, 519, 1034, 2442, 269, 4653, 267, 32320, 619, 616, 811, 4359, 543, 3015, 982, 2479, 269, 2311, 2672, 342, 2033, 324, 4741, 585, 454, 2691, 596, 723, 25329, 267, 513, 2603, 949, 1689, 827, 707, 3232, 6208, 269, 1411, 1590, 2057, 1978, 3536, 267, 6529, 547, 513, 811, 7928, 26966, 626, 3643, 8430, 267, 543, 3251, 593, 1283, 540, 707, 5711, 2973, 902, 269, 10251, 267, 2348, 25329, 2306, 519, 1981, 540, 10733, 2068, 267, 849, 1634, 607, 1974, 2632, 4345, 267, 1256, 2362, 269, 4858, 806, 1118, 454, 306, 17703, 2033, 324, 7731, 19239, 3588, 281, 3776, 7454, 9669, 585, 16473, 532, 717, 636, 8376, 17327, 1072, 21018, 1134, 3564, 519, 2786, 1145, 543, 21386, 540, 707, 12837, 269, 717, 636, 2068, 666, 7444, 855, 15983, 1491, 513, 17167, 593, 707, 5959, 1072, 936, 942, 269, 717, 532, 26628, 568, 519, 9998, 3942, 540, 10733, 2068, 543, 3123, 707, 14779, 547, 0, 23895, 618, 568, 519, 1570, 1034, 5078, 585, 4070, 960, 269, 6736, 922, 2956, 267, 972, 616, 1869, 930, 22027, 827, 922, 5888, 543, 922, 16755, 563, 4131, 779, 1491, 513, 6251, 1413, 693, 713, 11684, 1570, 267, 609, 513, 1413, 693, 519, 3435, 2966, 543, 8045, 676, 595, 768, 21355, 585, 24317, 9160, 1369, 513, 4070, 3135, 563, 23322, 2524, 543, 1599, 540, 9160, 454, 23895, 618, 568, 513, 11006, 1570, 5833, 676, 519, 1840, 540, 1114, 2609, 5249, 1927, 269, 1635, 20590, 14680, 267, 10036, 610, 2261, 331, 693, 1164, 2837, 267, 513, 7848, 540, 24485, 919, 543, 7513, 10186, 919, 568, 5833, 267, 799, 616, 2666, 1927, 609, 31682, 538, 971, 513, 1259, 607, 547, 3500, 1524, 519, 4259, 1184, 563, 763, 4611, 8869, 267, 6404, 609, 1216, 267, 10953, 23287, 3601, 543, 3587, 606, 2653, 3562, 21524, 601, 2527, 281, 621, 5036, 538, 513, 1906, 3108, 543, 1287, 3587, 607, 14461, 607, 2067, 6149, 267, 2111, 547, 16641, 1164, 12503, 563, 3080, 540, 519, 1034, 1455, 2781, 906, 538, 946, 5001, 568, 24144, 9160, 269, 24144, 9160, 267, 998, 1585, 23937, 267, 2306, 621, 2009, 547, 3489, 1114, 2010, 540, 9160, 281, 972, 616, 1114, 5049, 4470, 593, 519, 4222, 267, 13496, 543, 3432, 540, 4259, 2838, 269, 1703, 616, 476, 276, 1292, 2010, 281, 24144, 9160, 267, 24144, 9160, 3575, 267, 19046, 19460, 9160, 267, 1093, 3960, 565, 23307, 9160, 543, 12432, 9160, 563, 1432, 1114, 28179, 9160, 689, 6405, 888, 291, 12874, 1206, 616, 1419, 6659, 827, 519, 5888, 540, 9160, 543, 6405, 269, 2290, 540, 519, 21390, 11710, 689, 519, 1249, 602, 18674, 6405, 568, 27235, 5219, 547, 607, 6405, 563, 1432, 30193, 835, 689, 519, 824, 286, 634, 3017, 568, 17216, 519, 5888, 912, 268, 1107, 1403, 9160, 568, 6404, 609, 1216, 267, 9160, 13594, 568, 5833, 3248, 268, 1107, 1403, 519, 9160, 13594, 568, 6404, 609, 513, 5386, 14919, 971, 607, 5070, 267, 9160, 27341, 568, 5833, 3248, 268, 1107, 1403, 27960, 540, 1114, 7306, 630, 338, 663, 267, 18574, 543, 18574, 264, 616, 3773, 547, 519, 9160, 13594, 267, 6405, 568, 5833, 3248, 268, 1107, 7053, 267, 18674, 6405, 630, 21406, 18674, 6405, 2687, 547, 519, 476, 3192, 272, 6042, 264, 568, 5833, 676, 23993, 6405, 609, 513, 15699, 9967, 540, 5374, 13063, 5116, 538, 513, 5078, 2990, 454, 5804, 713, 621, 666, 581, 17429, 1027, 602, 6405, 568, 513, 12045, 540, 9160, 543, 568, 5833, 676, 4946, 1216, 543, 27960, 563, 763, 946, 540, 9160, 454, 23895, 618, 3459, 547, 581, 3812, 4853, 569, 538, 519, 4571, 268, 866, 628, 2540, 543, 568, 1869, 835, 540, 519, 1034, 4922, 1031, 4070, 2326, 2221, 269, 4706, 8112, 543, 16798, 1164, 2773, 1450, 621, 547, 581, 1031, 538, 513, 3099, 540, 4070, 9922, 269, 1306, 513, 4070, 1570, 267, 9160, 568, 4922, 1031, 585, 782, 2010, 540, 544, 21863, 960, 281, 8075, 267, 13123, 267, 9897, 267, 3092, 563, 3719, 875, 568, 519, 9160, 16487, 689, 835, 1448, 547, 1776, 593, 519, 4070, 3135, 286, 634, 1907, 602, 814, 2141, 1044, 1031, 585, 713, 3483, 568, 519, 4070, 8868, 321, 5535, 269, 3683, 519, 1296, 267, 2705, 267, 713, 3684, 814, 2938, 513, 1297, 540, 4447, 1903, 267, 543, 2221, 972, 616, 1533, 6361, 7308, 19603, 2645, 609, 1164, 26024, 4162, 269, 1452, 1331, 595, 768, 21355, 3435, 281, 6191, 543, 17960, 4481, 2966, 547, 1118, 12427, 685, 960, 607, 2653, 543, 2241, 607, 2009, 563, 290, 768, 21355, 2645, 585, 9160, 3560, 454, 9213, 779, 3318, 4070, 4452, 518, 814, 20546, 539, 519, 5929, 8868, 321, 5535, 538, 2474, 540, 4398, 267, 22231, 267, 3432, 543, 17545, 281, 713, 568, 519, 546, 32658, 267, 595, 768, 21355, 779, 17514, 1222, 1907, 269, 634, 546, 32658, 267, 7575, 10446, 1510, 519, 991, 547, 581, 6287, 539, 676, 3196, 281, 713, 17990, 10475, 1648, 543, 942, 267, 2523, 1282, 4070, 269, 634, 2609, 602, 616, 9985, 14018, 547, 519, 3560, 540, 6405, 267, 543, 2966, 10502, 585, 713, 3483, 267, 616, 519, 18161, 543, 18161, 311, 1236, 2354, 563, 4322, 4874, 26120, 1236, 2354, 616, 7471, 883, 519, 1295, 573, 32658, 543, 616, 4998, 585, 24317, 9160, 689, 835, 1747, 547, 1776, 9108, 543, 7561, 269, 9521, 4496, 1236, 2354, 267, 799, 616, 811, 2352, 547, 2973, 543, 811, 12155, 547, 15309, 532, 267, 519, 1236, 2354, 2966, 676, 595, 768, 21355, 666, 581, 18233, 3362, 543, 616, 11259, 547, 519, 2609, 563, 17269, 543, 18161, 311, 10833, 616, 14475, 1210, 24364, 22285, 532, 269, 15585, 1049, 22285, 532, 267, 610, 4232, 558, 746, 532, 267, 568, 513, 2029, 585, 4393, 5687, 31129, 2326, 693, 1970, 2604, 543, 1164, 2837, 269, 901, 1184, 568, 1759, 593, 519, 28455, 540, 5068, 2326, 547, 17860, 24364, 22285, 338, 543, 568, 1031, 547, 3132, 17860, 4703, 602, 798, 711, 2154, 7766, 13841, 543, 10198, 563, 23895, 618, 3788, 519, 1034, 5078, 1570, 607, 513, 536, 5407, 538, 4070, 1568, 269, 634, 2178, 1448, 540, 713, 7623, 568, 922, 17545, 281, 621, 3217, 593, 1114, 4162, 4470, 593, 519, 2609, 621, 568, 1500, 540, 267, 538, 1931, 547, 2743, 513, 2647, 2039, 540, 2115, 269, 24533, 568, 16487, 547, 519, 4070, 3135, 676, 8868, 321, 5535, 281, 519, 811, 4359, 543, 9280, 621, 568, 267, 519, 1732, 621, 568, 2111, 547, 4163, 856, 519, 5322, 267, 5688, 2358, 519, 960, 540, 519, 12427, 269, 634, 595, 768, 21355, 546, 32658, 267, 7471, 609, 519, 18161, 543, 18161, 311, 4703, 267, 4564, 606, 5499, 267, 7347, 543, 3608, 3070, 585, 1346, 945, 1616, 547, 4163, 856, 741, 5322, 538, 519, 1655, 2009, 1259, 1282, 519, 1568, 563, 25898, 596, 899, 811, 3877, 593, 891, 6191, 286, 13555, 721, 281, 938, 2319, 786, 581, 6126, 547, 2626, 596, 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 ]
[ 267, 519, 14745, 1982, 15548, 538, 519, 7206, 540, 519, 6561, 24712, 538, 519, 2199, 12876, 25236, 30895, 269, 11153, 27386, 14745, 19297, 941, 2966, 585, 519, 2621, 4478, 519, 2817, 13482, 282, 835, 540, 873, 2934, 2048, 305, 6242, 7086, 3821, 2613, 545, 565, 528, 685, 13556, 676, 623, 1122, 4445, 5695, 322, 2867, 974, 269, 623, 1122, 4445, 568, 513, 1863, 561, 766, 3879, 15249, 945, 4607, 1200, 15149, 538, 27386, 14745, 689, 519, 28631, 15636, 23307, 25052, 538, 2038, 476, 1220, 279, 269, 2701, 6257, 1934, 519, 1445, 543, 5834, 2877, 547, 3132, 513, 2298, 14745, 563, 2108, 305, 5217, 1996, 942, 267, 594, 16668, 513, 1360, 2143, 27948, 5373, 540, 454, 22336, 2251, 594, 9364, 10356, 281, 32395, 267, 19512, 267, 543, 3762, 269, 901, 3576, 827, 3670, 454, 327, 2293, 269, 594, 1287, 3576, 856, 1250, 1216, 3712, 832, 543, 1705, 1896, 2681, 2090, 454, 29715, 569, 689, 519, 15013, 269, 1635, 519, 1739, 1554, 267, 782, 1250, 5810, 1185, 454, 323, 549, 25660, 267, 865, 950, 594, 3323, 1250, 7206, 267, 594, 1185, 547, 7048, 8185, 593, 1250, 454, 30956, 9229, 5373, 543, 1250, 2681, 2090, 267, 609, 3606, 15143, 856, 547, 519, 454, 294, 731, 839, 547, 1413, 693, 519, 2030, 1586, 269, 634, 7206, 3576, 827, 17288, 3108, 454, 1729, 2347, 538, 1216, 10233, 563, 303, 1122, 4445, 729, 6126, 547, 7119, 538, 519, 2048, 322, 7614, 690, 532, 685, 540, 519, 12876, 25236, 30895, 538, 4873, 269, 968, 296, 1745, 513, 1880, 737, 29023, 609, 891, 2025, 24712, 734, 16269, 20549, 547, 581, 13042, 267, 789, 1332, 609, 1100, 1480, 2048, 27273, 9679, 8730, 538, 12691, 5468, 9624, 10462, 267, 543, 2291, 609, 2370, 610, 1100, 6284, 585, 741, 3646, 9731, 8777, 1633, 814, 513, 1279, 1686, 540, 27386, 14745, 543, 666, 30107, 540, 1373, 1753, 547, 1082, 540, 922, 23766, 281, 14811, 2917, 267, 12070, 332, 2714, 543, 29807, 976, 267, 4521, 8896, 267, 4354, 26385, 267, 543, 12448, 338, 269, 634, 2245, 5170, 543, 27372, 609, 634, 5980, 540, 15636, 19680, 20551, 269, 3057, 542, 3131, 9469, 568, 519, 10615, 540, 713, 2486, 267, 799, 729, 4646, 827, 476, 736, 1296, 3516, 269, 4173, 4190, 14906, 819, 540, 28266, 2048, 290, 571, 5414, 585, 1411, 685, 2982, 519, 8768, 538, 5229, 267, 6679, 543, 2407, 16036, 543, 729, 13752, 513, 25890, 540, 15636, 19680, 8585, 527, 538, 476, 1220, 278, 269, 901, 7206, 28837, 1776, 1966, 538, 9782, 1686, 602, 14745, 666, 948, 609, 267, 602, 568, 267, 24712, 1419, 723, 1114, 4408, 538, 1114, 2477, 543, 6157, 538, 1114, 21971, 269, 2048, 290, 571, 5414, 585, 1411, 685, 568, 14678, 25992, 538, 3057, 542, 779, 7206, 607, 2048, 19177, 628, 540, 5147, 9957, 3057, 542, 6272, 10651, 543, 2729, 538, 513, 17468, 476, 866, 628, 2540, 32119, 269, 2991, 1373, 4691, 1819, 538, 5373, 543, 7206, 2553, 267, 1352, 4121, 19077, 2762, 693, 853, 19186, 753, 3427, 540, 3203, 269, 3057, 542, 1287, 3459, 1200, 4876, 538, 27386, 1148, 827, 4557, 1296, 3516, 269, 2701, 568, 835, 540, 519, 1906, 945, 24870, 538, 7206, 24712, 563, 2108, 5804, 7206, 8916, 547, 5810, 729, 606, 2653, 1900, 585, 803, 267, 2523, 454, 327, 3058, 1044, 513, 10178, 520, 673, 32529, 543, 9782, 3766, 992, 518, 256, 594, 6594, 693, 519, 454, 6202, 8153, 595, 3559, 22855, 4284, 545, 12567, 538, 5507, 269, 594, 20647, 1631, 538, 7206, 454, 549, 4513, 269, 898, 568, 2141, 519, 9782, 602, 13515, 803, 538, 1250, 13475, 543, 519, 10508, 540, 454, 322, 2194, 1005, 1169, 1469, 593, 1957, 6678, 337, 8712, 803, 269, 898, 568, 606, 3169, 532, 1184, 454, 8117, 22508, 2299, 519, 9782, 1281, 711, 1689, 3337, 1932, 3533, 543, 606, 454, 4261, 697, 1964, 538, 519, 21067, 630, 1721, 519, 9782, 264, 1568, 13300, 2336, 296, 4280, 3057, 542, 1946, 1352, 5433, 27386, 14745, 729, 1869, 4143, 2221, 267, 950, 12514, 616, 865, 1455, 1747, 543, 2653, 547, 946, 269, 4173, 13730, 3210, 568, 6093, 540, 1346, 945, 2259, 713, 1148, 269, 968, 296, 1265, 513, 27386, 7206, 6585, 1250, 1719, 585, 1454, 3476, 602, 513, 8523, 267, 2705, 13085, 621, 568, 269, 634, 7376, 19306, 519, 6891, 540, 519, 8768, 609, 6207, 6111, 6466, 519, 8254, 666, 13587, 633, 519, 3750, 269, 966, 10679, 339, 18282, 267, 3178, 540, 7990, 267, 17953, 344, 3762, 782, 666, 581, 2813, 538, 1216, 3712, 712, 538, 513, 7415, 1259, 547, 3132, 6207, 17779, 269, 15636, 19680, 16503, 1674, 786, 2760, 5884, 28461, 296, 3858, 609, 519, 5159, 602, 594, 26906, 602, 513, 9952, 7376, 666, 2594, 782, 519, 3877, 540, 513, 9782, 3099, 609, 3152, 9355, 982, 519, 3328, 23031, 269, 769, 519, 3860, 1184, 267, 519, 7376, 25815, 1524, 267, 3217, 942, 968, 1729, 9329, 519, 24712, 8730, 543, 666, 1451, 1454, 827, 875, 519, 9782, 9428, 267, 609, 922, 2189, 3270, 540, 6978, 543, 555, 1941, 543, 16036, 269, 25037, 602, 1935, 547, 519, 1259, 602, 1034, 540, 721, 1935, 3059, 10344, 269, 4201, 11703, 3059, 12514, 9280, 609, 11999, 3965, 6486, 1450, 721, 547, 3533, 543, 2219, 8393, 1491, 5215, 540, 6337, 267, 1419, 609, 2370, 2543, 547, 5888, 267, 8654, 610, 1022, 3801, 547, 8308, 543, 18991, 9446, 513, 6093, 19494, 540, 519, 3099, 563, 7712, 519, 5354, 540, 721, 798, 711, 723, 519, 13007, 610, 519, 942, 547, 581, 8036, 607, 513, 27386, 3879, 15249, 267, 594, 8910, 899, 547, 2303, 513, 3059, 4244, 1141, 2694, 540, 1114, 6337, 616, 5916, 547, 2285, 513, 811, 2347, 4605, 269, 8347, 2921, 6337, 540, 707, 5172, 24712, 693, 1114, 2053, 540, 1032, 267, 3478, 2673, 13522, 540, 519, 19512, 543, 694, 335, 1023, 538, 5614, 267, 519, 18742, 543, 5247, 985, 538, 4832, 543, 519, 6079, 25637, 538, 519, 2887, 269, 1677, 1118, 4393, 4443, 267, 2119, 8523, 532, 607, 1454, 607, 596, 666, 609, 513, 3043, 4282, 3297, 519, 9782, 267, 835, 540, 1346, 13888, 4773, 540, 17371, 4604, 602, 3214, 946, 585, 2257, 3785, 1568, 1134, 563, 9202, 267, 3442, 513, 2780, 1982, 602, 2636, 596, 547, 12575, 3059, 6337, 269, 2290, 540, 519, 1034, 8465, 543, 4183, 4904, 3292, 568, 26598, 15689, 269, 901, 568, 519, 1447, 7199, 2370, 7015, 540, 519, 3318, 7376, 779, 23489, 26598, 269, 3767, 267, 6430, 875, 1454, 942, 543, 4674, 596, 1616, 547, 6108, 269, 634, 1585, 5784, 540, 707, 9782, 666, 581, 5916, 1360, 3533, 543, 3274, 267, 1175, 676, 5186, 6137, 543, 759, 1944, 873, 607, 14328, 4773, 547, 3514, 1927, 593, 707, 2985, 269, 901, 786, 581, 7850, 585, 8446, 543, 1353, 5301, 563, 2252, 596, 616, 3168, 547, 1118, 513, 811, 7499, 14906, 819, 267, 596, 786, 991, 547, 1491, 942, 547, 1451, 547, 946, 519, 3301, 865, 602, 596, 666, 9192, 707, 5961, 538, 513, 811, 2067, 6073, 269, 898, 786, 1450, 596, 547, 2048, 332, 2532, 685, 543, 4894, 519, 4282, 689, 1142, 4605, 267, 4990, 540, 899, 5969, 621, 856, 609, 23805, 269, 3973, 519, 1585, 5784, 666, 581, 6772, 11474, 543, 3514, 1927, 883, 606, 7499, 2898, 269, 7353, 21106, 689, 1114, 12405, 607, 1134, 607, 12400, 949, 581, 5916, 713, 1259, 563, 3383, 267, 1491, 930, 942, 547, 1413, 1394, 693, 519, 1646, 540, 24712, 998, 519, 4064, 540, 519, 5159, 602, 2648, 873, 269, 6744, 856, 595, 17344, 328, 3430, 328, 779, 968, 763, 5678, 540, 681, 4680, 892, 11609, 676, 519, 16805, 14732, 21322, 7066, 577, 338, 4802, 269, 4173, 10367, 13173, 1142, 540, 519, 1271, 24712, 646, 6257, 269, 1280, 513, 3102, 1686, 2119, 968, 763, 14986, 892, 676, 8834, 670, 1046, 1145, 269, 901, 7372, 1433, 568, 849, 11609, 7357, 609, 11247, 267, 609, 1100, 11147, 693, 782, 269, 5080, 29418, 267, 594, 4076, 1336, 602, 602, 779, 519, 1259, 594, 899, 621, 269, 0, 15697, 2792, 827, 10269, 949, 6252, 1483, 1158, 3466, 540, 11506, 10269, 946, 4767, 1851, 1004, 609, 18624, 630, 306, 313, 1070, 2687, 547, 513, 2487, 1353, 269, 1635, 6029, 602, 12108, 3755, 945, 1582, 268, 1211, 1518, 607, 2348, 590, 313, 1865, 10269, 5829, 1543, 2228, 267, 2442, 1514, 2923, 1223, 1217, 7296, 29696, 3646, 13389, 713, 693, 16151, 1895, 269, 901, 30405, 1353, 8947, 519, 4908, 267, 12557, 267, 543, 1826, 540, 2792, 827, 10269, 5829, 1543, 593, 12108, 1851, 3755, 945, 1582, 268, 1211, 1518, 607, 2348, 590, 313, 3379, 609, 3755, 689, 519, 2489, 2551, 269, 3683, 513, 476, 1220, 6377, 1974, 689, 5130, 547, 5147, 476, 1001, 277, 267, 12108, 3755, 945, 1582, 268, 1211, 1518, 607, 2348, 513, 590, 313, 8552, 4524, 630, 333, 284, 10711, 264, 543, 513, 14477, 5697, 1895, 540, 2489, 2551, 1852, 3755, 630, 333, 284, 15876, 264, 11540, 476, 272, 267, 276, 4510, 267, 14338, 17408, 1115, 269, 570, 933, 1115, 5627, 10269, 5829, 17161, 941, 13939, 269, 12824, 1336, 912, 268, 12108, 3755, 609, 590, 313, 11540, 3648, 811, 17408, 1115, 5627, 1022, 10269, 5829, 2474, 3379, 609, 1852, 3755, 563, 268, 589, 3648, 3152, 8167, 540, 12108, 3755, 609, 590, 313, 630, 3393, 260, 282, 562, 284, 10844, 264, 11540, 17408, 1115, 5627, 1022, 10269, 2474, 3379, 609, 1852, 3755, 630, 1789, 260, 282, 562, 284, 7367, 1916, 268, 590, 313, 3755, 4951, 3648, 3152, 12918, 540, 17408, 7566, 827, 10269, 3379, 609, 1852, 3755, 563, 295, 1873, 523, 962, 267, 715, 553, 331, 684, 29273, 267, 25941, 6652, 515, 22894, 623, 267, 590, 20672, 601, 681, 267, 9466, 7322, 23404, 267, 8316, 9469, 808, 289, 269, 10289, 2228, 2792, 827, 16906, 7296, 1851, 12108, 3755, 945, 1582, 268, 1211, 1518, 607, 2348, 18624, 269, 1496, 13775, 2228, 6619, 540, 1820, 4864, 476, 273, 267, 476, 1001, 278, 4940, 24741, 1763, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 269, 17595, 637, 269, 1001, 278, 269, 5400, 269, 16573, 563, 1607, 10432, 781, 18771, 3367, 338, 454, 21609, 3125, 20351, 18816, 543, 20351, 20548, 1833, 267, 5246, 11557, 20409, 282, 552, 8530, 476, 1001, 278, 4239, 476, 4029, 282, 8891, 3205, 267, 1696, 620, 454, 20236, 5025, 1087, 612, 539, 26504, 7324, 22307, 4536, 11929, 1441, 267, 3493, 816, 17520, 282, 552, 8530, 476, 1001, 278, 8734, 476, 273, 282, 23720, 4149, 1571, 267, 1696, 620, 454, 290, 2130, 585, 14904, 609, 5927, 987, 545, 6452, 5596, 4347, 545, 1080, 2073, 2549, 808, 15168, 9332, 337, 24741, 282, 552, 8530, 476, 1001, 278, 4239, 476, 1839, 282, 9466, 267, 1696, 620, 454, 19913, 16333, 4149, 1051, 5300, 15136, 543, 20548, 1833, 267, 5576, 16333, 1763, 282, 552, 8530, 476, 1001, 278, 4239, 476, 1839, 282, 2349, 534, 1723, 267, 1696, 620, 454, 19865, 7324, 20390, 30105, 609, 1323, 24803, 267, 10089, 574, 807, 267, 2271, 808, 16202, 2598, 867, 282, 552, 8530, 476, 1001, 278, 8734, 476, 278, 282, 18491, 1092, 267, 1696, 620, 454, 300, 755, 3367, 338, 538, 24251, 6925, 454, 11328, 3685, 9894, 3502, 21079, 15850, 19072, 15097, 2422, 267, 24251, 282, 552, 8530, 476, 1001, 278, 4239, 476, 1626, 282, 23415, 267, 28533, 1465, 267, 1696, 620, 454, 7049, 2045, 13017, 547, 15850, 667, 11163, 543, 12870, 267, 808, 24717, 24741, 282, 552, 8530, 476, 1001, 278, 4239, 476, 1839, 282, 31481, 267, 1696, 620, 454, 300, 15097, 20497, 1436, 543, 9615, 27159, 267, 2549, 808, 5410, 11881, 282, 552, 8530, 476, 1001, 278, 4239, 476, 2190, 282, 5487, 301, 537, 324, 267, 1696, 620, 454, 29590, 267, 9046, 8566, 3711, 1782, 267, 543, 5369, 13771, 3098, 267, 24741, 1763, 282, 552, 8530, 476, 1001, 278, 4239, 476, 2420, 282, 27050, 345, 8636, 328, 267, 1696, 620, 454, 20540, 267, 595, 2129, 677, 6356, 540, 631, 15097, 2422, 2776, 28700, 267, 24251, 282, 552, 8530, 476, 1001, 278, 4239, 476, 1556, 282, 918, 20482, 267, 13198, 328, 267, 1696, 620, 0, 308, 3899, 30083, 26226, 547, 13722, 31350, 17675, 30605, 5670, 611, 2297, 540, 519, 8832, 2836, 3249, 748, 32595, 281, 519, 1533, 540, 1702, 454, 299, 603, 739, 7806, 19973, 543, 674, 9313, 454, 9773, 3249, 748, 13641, 2801, 616, 1634, 689, 519, 1739, 4559, 281, 634, 1773, 817, 523, 7799, 9693, 630, 3225, 20884, 609, 519, 700, 518, 577, 330, 690, 601, 7799, 9693, 264, 568, 6093, 585, 513, 18848, 3019, 531, 1646, 609, 15429, 268, 872, 12028, 269, 634, 1033, 761, 531, 570, 816, 18315, 7799, 9693, 4564, 9938, 2711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9576, 5441, 540, 27259, 31048, 976, 543, 8956, 776, 10927, 540, 519, 2160, 1107, 786, 581, 4092, 693, 519, 2160, 779, 18915, 13464, 1317, 540, 519, 2956, 540, 1620, 891, 3676, 538, 2831, 607, 1134, 607, 1004, 563, 763, 2098, 3019, 2670, 10418, 568, 14102, 676, 519, 19566, 13636, 4886, 10837, 630, 301, 310, 6395, 264, 543, 568, 513, 5698, 5473, 519, 2160, 540, 19903, 2120, 267, 519, 2657, 10466, 10837, 630, 295, 5183, 264, 543, 519, 27259, 8534, 14898, 10837, 630, 309, 6369, 1916, 23178, 29346, 26999, 9116, 267, 27259, 11202, 6048, 543, 3213, 5937, 1311, 528, 540, 519, 8998, 267, 1767, 281, 968, 291, 1047, 1162, 971, 607, 16568, 543, 26624, 2770, 616, 1806, 540, 1007, 543, 6932, 1990, 3019, 5328, 3676, 602, 5734, 519, 24657, 267, 855, 1472, 1079, 555, 8674, 540, 782, 1480, 5563, 616, 10299, 689, 2831, 267, 543, 930, 540, 891, 666, 581, 1360, 3978, 269, 15887, 625, 267, 585, 1383, 267, 1869, 19754, 811, 982, 476, 2004, 267, 1822, 1004, 1169, 1032, 267, 5631, 538, 3384, 2477, 267, 1247, 6251, 547, 1753, 267, 1034, 2665, 540, 1426, 15464, 616, 849, 3361, 676, 1990, 3019, 4680, 3034, 4407, 1082, 1004, 12314, 1990, 3019, 4680, 609, 3552, 610, 3484, 2831, 267, 10130, 666, 849, 581, 2959, 540, 1271, 1480, 5563, 267, 3006, 1256, 609, 14603, 4539, 269, 4982, 958, 267, 2705, 267, 1480, 7919, 666, 3006, 581, 519, 2707, 540, 3662, 5563, 563, 7804, 18281, 3474, 787, 267, 6481, 5843, 6798, 6048, 543, 3213, 5937, 1311, 528, 540, 519, 8998, 1767, 281, 968, 12901, 756, 8438, 4187, 568, 513, 1966, 538, 1082, 1990, 3019, 5328, 4551, 267, 543, 713, 635, 27289, 519, 2126, 540, 2550, 269, 634, 10418, 6770, 1927, 3744, 609, 1114, 10080, 538, 1931, 547, 10994, 711, 1175, 7811, 2152, 855, 1360, 4052, 2042, 538, 2068, 1852, 543, 2359, 3034, 7804, 6723, 645, 1314, 614, 267, 32065, 6395, 10615, 540, 3163, 543, 16743, 267, 1767, 281, 968, 763, 32065, 6395, 568, 8149, 547, 3384, 543, 14637, 606, 18368, 8013, 1702, 3490, 538, 519, 19566, 267, 799, 568, 1946, 649, 16539, 11278, 272, 269, 6924, 2929, 883, 519, 10418, 585, 2098, 3019, 2670, 3194, 998, 519, 19566, 3163, 8750, 563, 2108, 7437, 519, 6791, 540, 519, 2160, 540, 20506, 23051, 267, 713, 1007, 8998, 786, 948, 2327, 602, 519, 3148, 3788, 513, 6205, 538, 3621, 5647, 543, 3648, 4434, 519, 19566, 779, 1382, 3490, 3034, 763, 10418, 786, 581, 13166, 8118, 693, 519, 2160, 779, 2274, 1695, 32231, 13464, 693, 29321, 517, 267, 654, 597, 1537, 593, 13723, 267, 476, 1321, 5412, 693, 476, 1321, 269, 1789, 10975, 269, 16840, 540, 519, 2923, 616, 10950, 693, 519, 2680, 282, 5225, 3346, 6341, 13183, 320, 9410, 593, 519, 1297, 2630, 952, 596, 1544, 547, 7390, 563, 298, 622, 27910, 1923, 620, 17304, 454, 763, 4928, 540, 14182, 1107, 667, 293, 298, 296, 543, 570, 20084, 1930, 2978, 585, 1007, 3059, 3450, 543, 1565, 2409, 454, 6734, 269, 4962, 269, 1001, 279, 1923, 1546, 7491, 2583, 674, 832, 577, 31258, 345, 550, 5300, 24166, 918, 6686, 333, 560, 997, 515, 2271, 749, 3394, 345, 717, 3387, 295, 267, 667, 293, 298, 296, 454, 6597, 3539, 13964, 568, 1732, 454, 6187, 269, 6349, 269, 1001, 279, 1923, 3353, 27528, 10713, 28059, 28228, 333, 7770, 454, 763, 811, 11418, 27464, 267, 17108, 543, 20347, 6517, 267, 519, 811, 1271, 621, 568, 547, 2149, 873, 1996, 6880, 31281, 2931, 269, 2334, 568, 1946, 476, 1428, 4891, 689, 2872, 543, 24243, 786, 960, 1927, 936, 519, 1985, 1614, 1296, 593, 1007, 4485, 547, 8668, 3354, 538, 1582, 28391, 6517, 269, 634, 4745, 1788, 4422, 676, 519, 2012, 8232, 1280, 4045, 539, 267, 32534, 23663, 630, 20376, 2690, 290, 2752, 338, 264, 543, 814, 7616, 540, 24843, 278, 269, 273, 2929, 689, 519, 4436, 8549, 12080, 540, 4065, 543, 3194, 269, 5606, 710, 517, 568, 3056, 519, 1788, 563, 309, 12317, 2873, 2907, 2709, 3309, 2792, 17103, 543, 811, 543, 811, 12747, 3252, 267, 971, 607, 3845, 543, 26738, 268, 15209, 4217, 1949, 269, 2311, 519, 1482, 2483, 288, 1382, 2319, 3366, 676, 21575, 693, 519, 14502, 2160, 540, 22540, 630, 307, 9331, 264, 814, 2919, 7636, 23282, 342, 9662, 602, 666, 581, 547, 1375, 1194, 1063, 1079, 1785, 12147, 1114, 2829, 1210, 606, 4294, 6453, 269, 1358, 666, 4196, 607, 519, 4493, 585, 513, 21722, 1362, 540, 3457, 602, 1223, 5372, 13339, 2861, 3334, 609, 5214, 6675, 563, 763, 1646, 540, 1007, 5907, 4066, 11479, 519, 538, 947, 656, 5786, 540, 6198, 5057, 7306, 269, 769, 519, 2796, 540, 606, 3486, 10319, 2483, 4263, 519, 700, 3008, 22076, 476, 1001, 279, 267, 689, 4873, 476, 276, 628, 547, 476, 278, 628, 267, 519, 21558, 2098, 550, 5300, 30567, 1478, 552, 17679, 269, 630, 299, 313, 295, 264, 786, 581, 15386, 3157, 585, 519, 8955, 1570, 4393, 540, 14182, 538, 10689, 476, 275, 693, 1796, 476, 275, 292, 4037, 269, 2060, 27762, 10514, 16115, 519, 700, 313, 295, 786, 1459, 1101, 2164, 540, 513, 1382, 1788, 593, 3540, 3354, 563, 4263, 713, 1032, 781, 700, 3008, 22076, 267, 519, 700, 313, 295, 786, 8858, 1769, 2861, 3157, 971, 607, 5969, 267, 13841, 267, 705, 3175, 543, 1785, 1005, 607, 1134, 607, 19605, 5663, 585, 2483, 2467, 616, 7044, 593, 519, 4950, 602, 666, 1118, 835, 14952, 693, 2029, 269, 1280, 1383, 267, 513, 16335, 568, 8732, 1302, 18761, 1472, 519, 6186, 610, 513, 6094, 1922, 559, 332, 4159, 568, 18202, 538, 782, 8846, 543, 609, 3592, 1169, 8006, 269, 3245, 519, 3593, 781, 1448, 540, 2070, 267, 713, 5654, 9735, 269, 3245, 513, 3318, 1448, 540, 2070, 267, 2705, 267, 519, 2243, 14340, 281, 1772, 602, 2907, 2009, 888, 4263, 18224, 10432, 476, 1001, 279, 267, 3744, 689, 519, 29163, 4659, 585, 11930, 12443, 1067, 3194, 594, 4338, 786, 581, 11744, 2221, 779, 6639, 7399, 543, 2483, 3383, 10777, 7061, 1082, 23073, 26711, 1450, 7061, 1949, 547, 3251, 856, 540, 11466, 1454, 3476, 267, 7713, 4603, 1923, 5530, 3370, 538, 7186, 8212, 454, 25748, 267, 3173, 689, 12370, 543, 20037, 16309, 538, 29212, 513, 2594, 476, 7871, 8444, 543, 14350, 9013, 741, 7061, 1533, 267, 16734, 1018, 568, 1572, 513, 2483, 1839, 269, 4962, 269, 1001, 279, 1923, 7926, 5240, 454, 6349, 269, 4962, 269, 1001, 279, 1923, 7926, 5240, 454, 1724, 269, 6860, 269, 1001, 279, 1923, 7926, 5240, 454, 1839, 269, 4962, 269, 1001, 279, 1923, 7926, 5240, 454, 1839, 269, 4962, 269, 1001, 279, 1923, 10724, 7177, 454, 1839, 269, 4962, 269, 1001, 279, 1923, 5020, 7070, 0, 272, 269, 769, 519, 2413, 13350, 3349, 267, 875, 616, 2609, 11231, 888, 268, 28206, 2084, 10570, 2527, 454, 268, 23207, 10570, 2527, 454, 268, 23207, 10570, 1297, 454, 268, 28206, 2084, 10570, 1297, 454, 272, 540, 476, 280, 454, 8448, 2055, 538, 713, 7688, 454, 273, 269, 7316, 616, 519, 22571, 543, 25268, 1336, 538, 606, 11046, 888, 268, 13966, 2515, 519, 9211, 454, 268, 6052, 16115, 454, 268, 28259, 532, 519, 9211, 454, 274, 269, 7316, 616, 1875, 31475, 1023, 4092, 538, 519, 2413, 11270, 545, 7305, 888, 268, 8307, 593, 519, 5377, 454, 268, 1677, 519, 1318, 454, 268, 8307, 593, 519, 1283, 454, 268, 1677, 519, 2451, 454, 275, 269, 1548, 1705, 21780, 25279, 5271, 798, 609, 2609, 602, 22821, 1405, 1044, 4362, 888, 268, 19382, 513, 1279, 7934, 2059, 519, 1283, 585, 873, 454, 268, 19382, 10616, 454, 268, 23875, 267, 646, 4769, 1405, 1589, 972, 1131, 581, 1022, 454, 268, 674, 2683, 873, 538, 676, 17782, 741, 3601, 454, 276, 269, 769, 799, 1032, 1705, 21780, 25279, 5271, 6582, 519, 2609, 883, 513, 11270, 545, 7305, 286, 0, 6097, 547, 519, 15544, 585, 8376, 6513, 1299, 10644, 630, 24922, 1070, 606, 6059, 476, 273, 269, 278, 268, 274, 269, 280, 2929, 1004, 538, 519, 2136, 2276, 723, 5312, 17537, 595, 269, 4014, 972, 568, 4867, 1100, 6669, 547, 2061, 22031, 22807, 595, 267, 596, 666, 2569, 707, 8458, 540, 4742, 7783, 563, 22879, 4687, 610, 556, 6748, 19271, 267, 861, 2590, 525, 610, 1022, 824, 3937, 547, 5965, 543, 7630, 5061, 267, 28335, 267, 10399, 610, 824, 6878, 269, 3680, 1210, 2123, 3688, 602, 949, 723, 2097, 883, 3346, 609, 606, 7783, 1268, 779, 1973, 267, 971, 607, 986, 345, 832, 267, 17970, 804, 26802, 610, 5694, 1962, 16640, 269, 4746, 267, 798, 711, 1205, 21003, 657, 610, 1560, 22815, 322, 902, 689, 606, 796, 997, 10234, 9744, 610, 538, 606, 13016, 4259, 563, 3383, 1946, 568, 621, 1271, 547, 581, 7318, 585, 22031, 22807, 595, 286, 634, 2626, 6013, 538, 891, 7194, 912, 268, 7085, 687, 540, 4892, 723, 22031, 22807, 595, 855, 1034, 1810, 1406, 917, 621, 454, 268, 476, 3199, 260, 540, 1004, 945, 1205, 7783, 1020, 513, 5312, 610, 15400, 3968, 454, 268, 4658, 609, 22031, 22807, 595, 1419, 723, 1100, 2589, 543, 1082, 666, 2661, 609, 606, 3968, 585, 5756, 1510, 4743, 7210, 454, 268, 22031, 22807, 595, 568, 519, 3056, 2014, 540, 6797, 2860, 543, 6797, 1098, 17852, 454, 268, 1703, 616, 1007, 5574, 2139, 602, 666, 30817, 519, 3644, 454, 288, 1297, 540, 1004, 616, 693, 3152, 1981, 585, 22031, 22807, 595, 912, 268, 25175, 945, 814, 22280, 5061, 267, 1256, 1175, 2899, 610, 1082, 1296, 3516, 454, 268, 25175, 609, 1978, 2564, 2175, 267, 971, 607, 5312, 6797, 2068, 543, 7486, 25266, 454, 268, 25175, 945, 814, 4607, 24603, 1973, 610, 8219, 1354, 476, 1960, 273, 454, 268, 25175, 4535, 689, 476, 3707, 276, 998, 476, 3422, 276, 454, 268, 25175, 609, 9402, 6797, 4255, 610, 6797, 2068, 454, 268, 2657, 543, 3106, 4600, 945, 723, 1044, 6534, 547, 1973, 593, 519, 2816, 998, 513, 13549, 6529, 610, 5945, 609, 513, 8325, 1843, 454, 268, 25175, 593, 646, 7116, 658, 1736, 454, 268, 25175, 4535, 547, 513, 3993, 609, 22031, 22807, 595, 454, 2710, 4701, 946, 513, 1973, 1449, 267, 1572, 513, 22031, 22807, 595, 25095, 1328, 4530, 267, 547, 1265, 856, 952, 513, 1268, 814, 2479, 1044, 7783, 269, 6884, 1572, 519, 14640, 6953, 20302, 4530, 267, 621, 5654, 585, 12489, 547, 519, 22031, 22807, 595, 3644, 269, 25095, 3672, 616, 6464, 5950, 883, 519, 18072, 950, 2576, 4991, 7783, 269, 1403, 519, 17193, 1449, 568, 19535, 267, 606, 3606, 1973, 1449, 267, 1572, 606, 10717, 610, 19738, 1449, 267, 568, 2877, 547, 3313, 952, 513, 1268, 568, 4867, 7783, 269, 1403, 519, 1449, 568, 2942, 267, 519, 1268, 1281, 711, 723, 22031, 22807, 595, 269, 1403, 519, 1449, 568, 2318, 267, 713, 1797, 513, 1268, 4867, 814, 22031, 22807, 595, 543, 1058, 2911, 547, 513, 4387, 4810, 538, 23235, 543, 8156, 519, 2068, 563, 30535, 666, 849, 581, 7318, 1210, 513, 32336, 2220, 629, 952, 789, 616, 2695, 324, 600, 880, 827, 19271, 563, 1692, 568, 18127, 22031, 22807, 595, 7066, 730, 888, 15703, 6527, 267, 1572, 17617, 597, 1023, 267, 666, 581, 1031, 547, 1521, 5312, 22031, 22807, 595, 543, 2408, 547, 581, 811, 2500, 543, 723, 7864, 2427, 2360, 982, 3105, 3681, 269, 1717, 267, 621, 568, 1271, 547, 1101, 581, 13761, 676, 513, 11285, 945, 786, 3313, 3617, 2564, 1416, 269, 5463, 2888, 827, 4358, 2126, 616, 1759, 593, 1082, 2188, 281, 1826, 540, 3644, 267, 519, 2783, 540, 519, 6797, 267, 3092, 563, 2690, 811, 1344, 827, 22031, 22807, 595, 610, 547, 1205, 29971, 267, 2911, 547, 707, 3119, 10629, 610, 3643, 8940, 6983, 26501, 10993, 270, 3104, 3467, 515, 6312, 4345, 269, 11905, 281, 15544, 585, 8376, 6513, 1299, 10644, 269, 0, 26576, 666, 849, 581, 1767, 547, 581, 851, 540, 1004, 779, 2729, 267, 7239, 267, 12583, 267, 543, 4555, 31552, 602, 621, 666, 581, 1082, 1114, 1919, 602, 666, 581, 6045, 538, 1114, 2081, 630, 19913, 1408, 651, 267, 590, 269, 476, 1001, 271, 267, 533, 269, 476, 275, 268, 277, 1040, 901, 3947, 4473, 547, 519, 6988, 4857, 538, 5771, 1317, 5771, 666, 581, 1114, 1919, 971, 607, 1582, 13282, 2259, 267, 1167, 27641, 2245, 267, 25386, 1391, 267, 543, 513, 2707, 540, 4126, 269, 901, 840, 21232, 625, 19795, 538, 7114, 519, 1353, 2361, 540, 5771, 267, 799, 666, 581, 5363, 538, 26762, 519, 4644, 540, 5771, 538, 1004, 779, 2729, 269, 1703, 849, 2291, 3604, 538, 1018, 1114, 6105, 6094, 540, 5771, 269, 12356, 2070, 621, 607, 513, 19169, 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 ]
[ 267, 4008, 267, 543, 3446, 269, 1358, 941, 22434, 6475, 1227, 689, 4179, 2517, 2325, 269, 539, 10993, 270, 764, 323, 9706, 889, 338, 577, 684, 643, 269, 5684, 563, 8794, 891, 6119, 543, 519, 1455, 12135, 2464, 9517, 267, 1344, 827, 1142, 1153, 779, 2168, 2232, 543, 13664, 10974, 630, 14075, 3363, 543, 20173, 264, 729, 5833, 543, 24673, 609, 519, 31641, 11862, 269, 3683, 519, 1576, 540, 2947, 1296, 267, 519, 3610, 538, 519, 2347, 31641, 11862, 3732, 630, 1410, 6984, 519, 1614, 21549, 676, 519, 1439, 540, 519, 5619, 1982, 264, 6026, 538, 476, 273, 267, 20969, 2189, 3506, 609, 4570, 12135, 2464, 9517, 338, 269, 2368, 540, 519, 1153, 9517, 338, 1223, 711, 581, 20083, 609, 12135, 2464, 1239, 6119, 824, 982, 519, 31641, 11862, 282, 10123, 267, 930, 540, 891, 3506, 8659, 811, 982, 835, 4116, 4431, 550, 269, 901, 4389, 519, 2949, 543, 519, 25107, 5439, 540, 3610, 602, 1223, 581, 20083, 609, 1153, 1239, 269, 634, 23380, 1239, 616, 4330, 538, 7305, 476, 274, 269, 2420, 563, 4462, 7076, 539, 10606, 540, 29594, 757, 609, 31932, 543, 769, 20777, 12135, 2464, 9517, 338, 454, 347, 27645, 609, 23380, 454, 25217, 12135, 2464, 9517, 338, 454, 347, 27645, 609, 7508, 454, 25217, 12135, 2464, 9517, 338, 454, 16085, 584, 3272, 1032, 1475, 17359, 3732, 1475, 22860, 6776, 3732, 1475, 17359, 3732, 1475, 22860, 6776, 3732, 2008, 347, 9616, 269, 715, 815, 476, 272, 267, 31275, 585, 519, 2407, 3732, 543, 715, 815, 476, 272, 267, 278, 8287, 585, 519, 25107, 3732, 8198, 9202, 267, 513, 6538, 540, 519, 476, 273, 267, 20969, 3506, 685, 12135, 2464, 9517, 338, 267, 9607, 267, 543, 13664, 10974, 729, 23345, 543, 9268, 998, 519, 2520, 665, 5317, 2533, 3896, 18799, 676, 7147, 589, 261, 300, 2160, 269, 13018, 267, 519, 645, 2255, 17227, 28249, 3028, 729, 1031, 693, 519, 3896, 267, 5291, 2517, 613, 657, 26236, 6745, 600, 340, 12975, 13478, 26236, 14727, 7185, 11328, 7611, 269, 901, 1184, 3773, 476, 1220, 271, 543, 476, 1001, 271, 772, 2529, 269, 17227, 8778, 2338, 547, 1142, 2232, 267, 1759, 593, 519, 20173, 543, 29978, 689, 519, 12135, 2464, 1153, 6119, 269, 570, 847, 2338, 941, 1287, 24673, 609, 519, 31641, 11862, 269, 4935, 267, 1142, 4431, 550, 4458, 1770, 602, 1185, 513, 4570, 12135, 2464, 3427, 9517, 729, 20083, 609, 513, 772, 2529, 269, 17227, 570, 847, 563, 1103, 1931, 547, 3489, 1344, 827, 519, 3506, 685, 16973, 267, 1239, 689, 519, 772, 2529, 269, 17227, 1977, 7991, 24028, 903, 630, 3722, 306, 264, 476, 1001, 273, 2947, 4458, 9193, 729, 22434, 538, 3349, 3898, 689, 4317, 25817, 267, 1210, 513, 13527, 2160, 12689, 269, 634, 1977, 7991, 11752, 568, 606, 5993, 18487, 5619, 602, 25173, 2551, 543, 8027, 1239, 689, 513, 4351, 3732, 540, 772, 2529, 269, 9607, 269, 1306, 6045, 676, 519, 1982, 16984, 267, 827, 835, 856, 540, 476, 21878, 9607, 4991, 5697, 267, 1100, 811, 982, 2899, 1169, 2947, 1296, 630, 18197, 2276, 17227, 13163, 267, 476, 1001, 274, 267, 533, 269, 476, 279, 1916, 763, 3903, 547, 946, 2947, 4458, 9193, 607, 10353, 547, 17227, 476, 1220, 271, 267, 17227, 476, 1001, 271, 267, 610, 1022, 2582, 4458, 589, 5425, 5619, 729, 12592, 676, 1896, 1883, 2934, 540, 713, 10471, 269, 17616, 267, 950, 3379, 547, 835, 4458, 610, 1614, 4458, 9193, 267, 2947, 4458, 9193, 616, 1034, 6325, 543, 1331, 519, 4102, 3732, 2450, 269, 3958, 267, 789, 1331, 1239, 585, 782, 2127, 267, 607, 10353, 547, 835, 4458, 9193, 602, 1152, 2270, 1344, 827, 2127, 609, 5095, 936, 476, 4792, 267, 1822, 1004, 543, 1614, 4458, 9193, 602, 1331, 2127, 609, 5095, 936, 476, 736, 267, 1822, 1004, 269, 2201, 519, 824, 1688, 267, 519, 2947, 4458, 7447, 10471, 267, 666, 581, 1031, 585, 2079, 593, 519, 17227, 8778, 1377, 269, 4935, 267, 519, 9367, 4363, 602, 2947, 4458, 9193, 581, 1031, 950, 8856, 568, 811, 1271, 982, 875, 1699, 519, 1239, 616, 543, 950, 1360, 1507, 2127, 616, 9916, 563, 763, 7840, 585, 799, 9193, 547, 946, 1759, 593, 519, 3732, 2450, 616, 2228, 693, 4179, 2517, 4178, 6983, 7185, 10993, 24579, 31810, 1606, 584, 557, 903, 270, 30929, 270, 7666, 573, 766, 270, 652, 23660, 11258, 563, 11693, 602, 31641, 11862, 21269, 519, 476, 1220, 279, 1700, 1220, 280, 547, 476, 1001, 272, 1700, 1001, 273, 1153, 1296, 267, 519, 476, 1001, 273, 589, 5425, 2947, 4458, 9193, 941, 1031, 267, 799, 2882, 519, 476, 1220, 279, 267, 476, 1220, 280, 267, 476, 1001, 271, 267, 476, 1001, 272, 267, 543, 476, 1001, 273, 12220, 269, 7305, 476, 274, 269, 2537, 2982, 519, 10855, 7194, 585, 5697, 4632, 689, 519, 589, 5425, 585, 519, 17227, 8778, 338, 540, 519, 3506, 538, 519, 25107, 3732, 538, 5729, 476, 272, 269, 901, 3769, 476, 272, 267, 26341, 8778, 338, 267, 2094, 930, 8778, 338, 1185, 811, 982, 835, 1153, 538, 873, 543, 930, 3506, 1185, 811, 982, 835, 4116, 269, 1703, 568, 513, 2647, 2039, 540, 8778, 338, 609, 2463, 547, 782, 519, 1114, 4162, 7396, 538, 7305, 476, 274, 269, 2537, 282, 540, 2027, 1719, 616, 519, 4632, 7893, 4747, 8635, 630, 1492, 717, 7236, 4994, 264, 543, 6710, 267, 782, 540, 799, 8858, 1804, 3044, 24017, 543, 9832, 563, 4462, 7076, 539, 29149, 10803, 585, 17227, 570, 847, 338, 540, 12140, 538, 5729, 476, 272, 8890, 6776, 12726, 454, 347, 29638, 630, 260, 540, 2698, 10245, 31340, 864, 630, 260, 540, 2698, 10245, 347, 14937, 610, 3979, 1977, 1475, 1321, 269, 274, 1475, 2641, 269, 271, 1475, 271, 269, 271, 1475, 4200, 269, 279, 2008, 347, 13563, 4095, 543, 1325, 2532, 534, 7111, 1475, 273, 269, 279, 1475, 1556, 269, 274, 1475, 271, 269, 271, 1475, 7176, 269, 280, 2008, 347, 30943, 22963, 543, 4033, 7414, 29474, 1475, 271, 269, 274, 1475, 272, 269, 276, 1475, 271, 269, 271, 1475, 4029, 269, 275, 2008, 347, 5278, 824, 5198, 4805, 1475, 274, 269, 274, 1475, 277, 269, 278, 1475, 271, 269, 271, 1475, 2568, 269, 280, 2008, 347, 10521, 610, 811, 14797, 1475, 273, 269, 279, 1475, 274, 269, 277, 1475, 271, 269, 271, 1475, 4510, 269, 277, 2008, 347, 31359, 9302, 630, 260, 540, 2698, 10245, 347, 11321, 3072, 2275, 537, 921, 1920, 10820, 1475, 5392, 269, 275, 1475, 1691, 269, 279, 1475, 271, 269, 271, 1475, 11011, 269, 271, 2008, 347, 8368, 476, 274, 269, 2537, 630, 11666, 4240, 10245, 347, 295, 17639, 4559, 630, 260, 540, 2698, 10245, 347, 295, 17639, 4559, 630, 260, 540, 13026, 10245, 347, 294, 7236, 12039, 540, 20677, 32389, 321, 1475, 271, 269, 275, 1475, 271, 269, 272, 1475, 271, 269, 274, 1475, 271, 269, 278, 2008, 26180, 7056, 625, 630, 260, 540, 2698, 10245, 347, 1103, 2492, 538, 476, 1001, 273, 2630, 6710, 1377, 1475, 1321, 269, 279, 1475, 1015, 269, 274, 1475, 271, 269, 271, 1475, 5038, 269, 273, 2008, 347, 1103, 2492, 538, 476, 1001, 273, 693, 610, 1657, 6710, 1377, 1475, 9262, 269, 273, 1475, 1015, 269, 274, 1475, 3374, 269, 279, 1475, 1911, 269, 271, 2008, 347, 16954, 1637, 10688, 630, 260, 540, 2698, 10245, 16085, 877, 2777, 607, 476, 272, 1032, 3516, 1475, 10019, 269, 275, 1475, 279, 269, 276, 1475, 4343, 269, 277, 1475, 4200, 269, 280, 2008, 23277, 3437, 1369, 1482, 10315, 1475, 280, 269, 274, 1475, 277, 269, 273, 1475, 271, 269, 271, 1475, 3393, 269, 279, 2008, 347, 631, 3437, 689, 1114, 10315, 1369, 454, 23277, 3437, 689, 1114, 1533, 1475, 273, 269, 278, 1475, 274, 269, 273, 1475, 271, 269, 271, 1475, 7906, 269, 271, 2008, 23277, 3437, 689, 13383, 1475, 271, 269, 275, 1475, 272, 269, 272, 1475, 271, 269, 271, 1475, 2918, 269, 279, 2008, 347, 8368, 476, 274, 269, 2537, 630, 11666, 4240, 10245, 347, 11900, 4269, 4567, 630, 260, 540, 2698, 10245, 347, 5591, 1072, 6142, 1475, 1428, 269, 276, 1475, 279, 269, 277, 1475, 271, 269, 271, 1475, 8287, 269, 277, 2008, 347, 4415, 1072, 6142, 1475, 5038, 269, 279, 1475, 1626, 269, 277, 1475, 1556, 269, 274, 1475, 1911, 269, 271, 2008, 347, 9616, 269, 715, 815, 476, 272, 267, 4335, 630, 6518, 568, 1447, 982, 519, 1297, 540, 3506, 543, 519, 1297, 540, 3610, 267, 1317, 930, 3506, 1185, 811, 982, 835, 4116, 543, 930, 8778, 338, 1185, 811, 982, 835, 1153, 538, 873, 282, 835, 540, 519, 8778, 338, 1185, 15866, 7508, 1239, 1916, 320, 16954, 1637, 2698, 715, 815, 476, 272, 267, 26341, 282, 536, 1103, 2492, 32389, 301, 815, 476, 272, 267, 275, 4200, 563, 7661, 267, 519, 4116, 5619, 1239, 729, 5916, 609, 513, 12432, 8739, 20300, 2268, 2139, 593, 519, 17227, 8778, 1377, 1572, 519, 9351, 3493, 337, 10474, 12039, 630, 4696, 296, 1040, 634, 3312, 4994, 3769, 476, 1704, 1114, 4632, 689, 519, 476, 1960, 271, 17227, 543, 729, 13604, 8242, 547, 1331, 476, 2420, 4632, 689, 519, 476, 1220, 271, 772, 2529, 269, 17227, 630, 306, 532, 327, 267, 476, 1220, 274, 1040, 589, 4528, 540, 519, 3312, 476, 1960, 271, 4994, 267, 5627, 476, 1704, 4632, 267, 729, 8242, 543, 1500, 1435, 331, 1227, 2139, 676, 3173, 693, 519, 2160, 540, 16855, 3427, 540, 6925, 543, 5398, 2657, 267, 543, 519, 3758, 729, 22434, 689, 4179, 2517, 4178, 269, 1222, 343, 4219, 3820, 270, 4696, 296, 269, 634, 1739, 4632, 616, 3769, 538, 513, 3815, 2861, 4994, 912, 268, 20587, 540, 519, 2551, 9907, 476, 1839, 543, 4587, 609, 1447, 982, 476, 280, 1296, 540, 2069, 2676, 268, 20587, 540, 519, 2551, 9907, 476, 1839, 543, 4587, 609, 693, 2547, 513, 1164, 1153, 26885, 2676, 268, 20587, 6964, 7606, 9907, 476, 1626, 543, 4587, 538, 3043, 2275, 20683, 23909, 2676, 268, 20587, 540, 19742, 4074, 3196, 2551, 9907, 476, 1626, 1296, 543, 4587, 945, 616, 32014, 2676, 268, 2405, 1014, 1920, 4747, 538, 772, 2529, 269, 9489, 2676, 268, 20677, 29373, 2676, 268, 2405, 1014, 1753, 1871, 538, 772, 2529, 269, 9489, 2676, 268, 2405, 1014, 14407, 10519, 538, 772, 2529, 269, 9489, 2676, 268, 2405, 1014, 10865, 20251, 538, 772, 2529, 269, 9489, 2676, 268, 20587, 540, 8227, 268, 31039, 8027, 4559, 630, 24610, 9562, 2557, 13211, 268, 20587, 540, 3885, 2630, 5313, 6710, 1377, 2676, 268, 20587, 540, 519, 2551, 2630, 476, 5611, 260, 540, 519, 5313, 6710, 12939, 2676, 268, 20587, 540, 2582, 1790, 1861, 10820, 609, 1453, 1447, 982, 476, 1240, 1296, 540, 2085, 2676, 268, 20587, 540, 10820, 1510, 513, 5179, 6174, 2676, 268, 20587, 540, 10820, 1510, 513, 15146, 2676, 268, 20587, 540, 13026, 8027, 4559, 1510, 2347, 21818, 630, 8421, 1070, 543, 454, 268, 20587, 540, 10820, 609, 811, 982, 476, 272, 1268, 829, 4055, 630, 322, 992, 3429, 1916, 23192, 2919, 547, 5512, 519, 2078, 1063, 8739, 20300, 2188, 543, 1072, 4093, 538, 2950, 267, 519, 5084, 296, 729, 24673, 609, 519, 4116, 543, 1153, 1239, 538, 1931, 547, 4196, 607, 513, 2268, 540, 519, 4110, 547, 799, 1153, 16973, 941, 27797, 269, 634, 2418, 540, 5084, 296, 538, 519, 3732, 540, 476, 272, 267, 26341, 8778, 338, 8151, 689, 513, 5934, 540, 910, 5325, 269, 278, 547, 513, 5021, 540, 476, 14096, 269, 273, 267, 609, 513, 1611, 540, 476, 10441, 269, 271, 543, 513, 3044, 11539, 540, 476, 1724, 269, 274, 563, 763, 5916, 10471, 5627, 782, 31641, 11862, 4632, 267, 2824, 1153, 4162, 689, 519, 595, 7374, 267, 543, 2824, 8378, 4632, 689, 519, 589, 5425, 729, 9916, 1210, 513, 3099, 540, 2553, 585, 19976, 5619, 1239, 267, 1519, 3815, 2079, 267, 2079, 540, 13065, 267, 543, 26848, 9695, 269, 9717, 519, 8244, 540, 1239, 593, 1114, 2157, 1765, 974, 18291, 267, 3506, 267, 543, 16973, 1765, 20123, 850, 767, 3631, 941, 849, 2808, 269, 5564, 850, 767, 3631, 267, 538, 713, 3236, 267, 1131, 1450, 585, 811, 11826, 16759, 540, 1153, 543, 8378, 2360, 269, 1717, 267, 972, 941, 711, 2614, 1377, 268, 272, 4559, 630, 974, 18291, 264, 829, 1377, 268, 273, 630, 25217, 338, 264, 610, 1377, 268, 274, 630, 31371, 4011, 3125, 264, 13421, 563, 8368, 476, 274, 269, 2537, 2982, 875, 3610, 941, 3262, 856, 2066, 3506, 543, 16973, 585, 782, 2947, 1296, 538, 519, 25107, 3732, 269, 769, 5729, 476, 272, 267, 519, 3506, 609, 811, 982, 1079, 3610, 941, 1152, 476, 272, 269, 274, 260, 540, 782 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1452, 616, 1175, 1079, 540, 1082, 2101, 19325, 602, 723, 8032, 519, 1686, 540, 15170, 269, 3245, 922, 2038, 2395, 547, 922, 1699, 7839, 946, 543, 10073, 267, 1142, 2680, 814, 5129, 513, 2629, 1909, 538, 519, 4720, 540, 713, 12316, 1106, 540, 9304, 269, 634, 4241, 1686, 540, 15170, 814, 3144, 721, 593, 513, 3460, 998, 922, 2038, 2395, 267, 4473, 540, 4244, 19116, 267, 2101, 19325, 267, 543, 922, 1909, 538, 5935, 519, 2518, 4346, 269, 1306, 649, 4312, 2938, 267, 15170, 814, 19117, 519, 2883, 1158, 543, 5170, 547, 2744, 8560, 269, 6736, 27900, 543, 9840, 267, 621, 3788, 513, 3407, 543, 5499, 10697, 538, 519, 2413, 1158, 269, 1306, 649, 1413, 547, 519, 2104, 267, 621, 781, 2312, 602, 15170, 568, 1934, 547, 3251, 563, 4415, 1699, 3466, 6029, 4797, 2208, 543, 10073, 267, 649, 666, 2503, 547, 1294, 1256, 811, 7760, 543, 7835, 538, 713, 2361, 269, 634, 1761, 585, 2208, 543, 5647, 538, 519, 1158, 540, 15170, 568, 3970, 1652, 267, 1818, 621, 606, 3078, 942, 547, 581, 513, 851, 540, 713, 9687, 2872, 563, 23763, 547, 1832, 909, 547, 4266, 609, 782, 519, 3377, 538, 519, 15170, 2230, 286, 4309, 1863, 6786, 543, 2324, 1699, 2409, 540, 1818, 2724, 593, 19116, 286, 15012, 938, 6806, 15170, 2146, 267, 938, 2818, 723, 2907, 1500, 1341, 7742, 260, 547, 741, 16005, 538, 1175, 513, 3923, 269, 13017, 547, 938, 751, 5586, 1090, 8756, 4179, 2517, 339, 269, 1889, 270, 266, 268, 292, 318, 4942, 341, 341, 333, 295, 272, 297, 330, 313, 291, 304, 271, 0, 1103, 1082, 2694, 540, 5101, 4000, 267, 3668, 540, 14479, 814, 513, 2462, 1764, 593, 2069, 267, 2523, 1851, 519, 1034, 7925, 269, 18601, 713, 568, 519, 3804, 540, 15057, 2861, 13539, 1488, 573, 14924, 6176, 8416, 267, 4171, 5767, 1788, 3177, 3610, 543, 3506, 609, 1930, 3872, 2200, 563, 4415, 519, 1489, 540, 606, 6673, 290, 1016, 326, 7949, 267, 23256, 3241, 534, 4759, 13539, 10507, 17442, 16446, 2919, 513, 2866, 3760, 547, 948, 6536, 519, 946, 540, 1930, 4066, 538, 3450, 543, 1565, 3157, 267, 606, 1858, 602, 814, 1044, 2370, 8268, 538, 519, 2197, 2394, 1631, 563, 28403, 2358, 519, 991, 585, 513, 4028, 543, 2500, 3210, 547, 519, 10296, 3390, 540, 1569, 547, 2228, 2069, 267, 1635, 5052, 1721, 718, 16273, 4718, 606, 4316, 547, 12167, 585, 12581, 1569, 547, 519, 4950, 607, 513, 1857, 1434, 267, 3413, 15256, 1569, 547, 2069, 607, 513, 4909, 1480, 1318, 563, 1692, 616, 6673, 290, 2818, 5355, 741, 2950, 685, 2729, 286, 1280, 595, 3951, 4696, 267, 713, 814, 28955, 538, 519, 1646, 540, 3875, 3785, 6322, 693, 28043, 3059, 17337, 543, 16779, 2199, 2950, 538, 13280, 563, 4415, 519, 12614, 540, 519, 2804, 6433, 543, 519, 6855, 267, 2069, 538, 26288, 4957, 13497, 609, 519, 10058, 4473, 540, 552, 19543, 267, 17929, 3450, 568, 2921, 1747, 20716, 593, 3059, 5867, 269, 901, 23589, 6521, 547, 519, 3059, 7706, 814, 1713, 4081, 543, 1514, 6286, 563, 10303, 540, 519, 6855, 267, 3127, 814, 1044, 896, 27579, 2094, 4728, 269, 1548, 1281, 713, 1611, 585, 6917, 2950, 267, 1152, 476, 736, 260, 540, 7247, 723, 1569, 547, 519, 4950, 286, 7991, 5121, 3964, 676, 14540, 899, 7913, 25085, 618, 7690, 616, 8744, 2565, 2533, 547, 476, 1911, 14252, 540, 3127, 563, 10743, 616, 6849, 1102, 2858, 24780, 2591, 538, 11504, 2228, 5049, 267, 799, 616, 16601, 269, 634, 796, 822, 22355, 540, 2298, 1569, 547, 519, 4950, 568, 4929, 7372, 2591, 585, 1053, 945, 616, 9003, 8200, 593, 2228, 5867, 585, 2069, 1282, 5046, 268, 866, 563, 763, 5046, 268, 866, 6855, 814, 6534, 875, 4961, 1831, 7925, 950, 6608, 798, 711, 2149, 543, 3895, 1480, 2924, 538, 519, 2228, 1604, 269, 634, 6855, 814, 9691, 4299, 519, 2518, 2069, 5823, 267, 5732, 18731, 519, 1318, 547, 2069, 563, 290, 13715, 1369, 519, 21601, 756, 1014, 2069, 1062, 723, 1044, 6534, 676, 5046, 268, 866, 267, 543, 519, 17672, 2360, 789, 10460, 547, 519, 1318, 547, 1646, 543, 1569, 547, 1702, 267, 607, 1305, 856, 538, 20232, 476, 278, 540, 519, 3979, 16672, 593, 5769, 7126, 543, 6154, 539, 1682, 267, 723, 5051, 1831, 7805, 563, 3725, 16117, 779, 1044, 11543, 2666, 267, 855, 4896, 945, 14509, 519, 3332, 6487, 602, 1728, 701, 779, 1869, 3905, 538, 3059, 11407, 269, 4065, 779, 1044, 835, 540, 519, 6370, 3033, 338, 267, 543, 11452, 814, 4547, 621, 547, 519, 2062, 1586, 269, 0, 5970, 596, 2479, 9289, 875, 7574, 7405, 1711, 3280, 286, 3245, 519, 2571, 23964, 540, 513, 30413, 547, 519, 2620, 18565, 540, 513, 1591, 334, 267, 1142, 6293, 814, 922, 1378, 2189, 1259, 540, 6721, 2575, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 4241, 1158, 540, 7574, 7405, 543, 3605, 875, 789, 616, 2966, 547, 3132, 3280, 269, 3245, 519, 21513, 540, 12673, 547, 519, 1379, 540, 2011, 267, 649, 786, 5490, 883, 519, 2257, 3297, 891, 6909, 13144, 543, 10625, 519, 11580, 602, 1118, 873, 2097, 547, 1272, 269, 1924, 267, 1577, 779, 1205, 4712, 547, 7832, 593, 513, 3460, 540, 6602, 543, 1451, 875, 7574, 7405, 3142, 2575, 547, 1272, 563, 15404, 673, 7405, 616, 2966, 547, 3132, 3280, 676, 1210, 513, 3099, 540, 2553, 543, 2326, 269, 1280, 1383, 267, 5569, 539, 7405, 899, 519, 30413, 543, 13176, 946, 12673, 602, 616, 21401, 936, 513, 11308, 7406, 267, 543, 519, 12673, 616, 726, 26786, 610, 1193, 636, 4364, 547, 1711, 21513, 602, 3132, 3280, 269, 6489, 7405, 899, 519, 1094, 343, 25869, 543, 25041, 564, 946, 513, 556, 539, 610, 9067, 11896, 547, 3132, 3280, 676, 25738, 2011, 883, 519, 6293, 267, 799, 5854, 919, 547, 1711, 519, 5551, 3159, 269, 623, 2075, 15664, 7405, 899, 519, 14941, 543, 524, 2096, 4472, 3132, 3280, 676, 11495, 519, 2627, 609, 513, 6529, 610, 1688, 267, 2870, 513, 19089, 602, 7472, 513, 3280, 5951, 269, 634, 1374, 540, 519, 6293, 267, 1519, 519, 2450, 267, 3337, 267, 543, 1570, 540, 519, 1560, 543, 519, 3337, 543, 1570, 540, 519, 5023, 12328, 610, 556, 539, 267, 782, 1860, 519, 1259, 519, 6293, 7472, 3280, 563, 8139, 519, 8212, 540, 14675, 13870, 454, 763, 10020, 540, 966, 2320, 725, 538, 14675, 13870, 454, 1103, 1931, 547, 1174, 875, 7574, 7405, 3132, 3280, 267, 621, 568, 1898, 547, 10146, 519, 6323, 540, 3280, 2504, 269, 2290, 540, 519, 1034, 4909, 3741, 540, 3280, 2504, 568, 519, 1909, 540, 21513, 269, 769, 2241, 2474, 267, 513, 19089, 568, 513, 1394, 7146, 16519, 628, 3350, 540, 606, 1843, 269, 1879, 606, 1843, 5854, 919, 267, 621, 5036, 519, 4478, 2011, 6675, 883, 5163, 267, 799, 5932, 513, 3280, 5951, 563, 1103, 519, 2796, 540, 7574, 7405, 267, 519, 21513, 616, 3335, 2813, 676, 513, 6949, 1807, 267, 799, 568, 606, 1843, 602, 5854, 919, 538, 3210, 547, 606, 5007, 3196, 269, 634, 6949, 1807, 568, 3335, 513, 4396, 1843, 267, 971, 607, 513, 5569, 267, 513, 6241, 540, 2011, 267, 610, 513, 9245, 269, 1879, 519, 6949, 1807, 568, 5854, 730, 267, 621, 5036, 519, 4478, 2011, 6675, 883, 5163, 267, 799, 5932, 513, 3280, 5951, 563, 763, 4908, 540, 519, 3280, 5951, 568, 5462, 676, 519, 2557, 693, 799, 519, 6949, 1807, 5854, 919, 269, 634, 5488, 519, 19089, 267, 519, 2362, 519, 12334, 540, 519, 3280, 269, 634, 3259, 543, 8082, 540, 519, 6949, 1807, 849, 1860, 519, 12334, 269, 1280, 1383, 267, 513, 5569, 539, 6293, 899, 513, 13176, 814, 12673, 540, 1114, 13080, 543, 13253, 267, 799, 3132, 1114, 8486, 2583, 950, 726, 26786, 610, 1193, 636, 4364, 563, 15404, 673, 7405, 616, 2966, 547, 11126, 519, 2504, 540, 3280, 6329, 269, 1280, 1383, 267, 519, 3337, 543, 2450, 540, 519, 6949, 1807, 666, 1860, 519, 22298, 4908, 540, 519, 6293, 267, 799, 11887, 519, 12334, 540, 519, 3280, 269, 634, 2326, 1031, 547, 4020, 519, 6949, 1807, 666, 849, 1860, 519, 3280, 2298, 269, 1280, 1383, 267, 3574, 568, 1419, 1031, 538, 519, 4070, 540, 5569, 539, 7405, 1317, 621, 568, 513, 1434, 18364, 540, 3280, 6329, 563, 14454, 267, 519, 1909, 540, 21513, 538, 3280, 2504, 568, 4909, 547, 519, 1374, 540, 7574, 7405, 269, 1635, 1620, 875, 21513, 1711, 3280, 6329, 267, 6293, 9858, 666, 11126, 519, 1374, 540, 741, 7405, 547, 3132, 519, 5551, 3280, 2298, 563, 763, 20556, 9737, 19639, 618, 5071, 543, 14675, 10866, 454, 763, 1374, 540, 513, 7574, 6293, 4249, 513, 2629, 1909, 538, 8159, 519, 2298, 540, 3280, 621, 7472, 269, 3962, 6293, 568, 2966, 538, 513, 1808, 1259, 547, 11126, 519, 2504, 540, 1978, 12451, 267, 4626, 321, 637, 267, 543, 18565, 269, 634, 2078, 1063, 6293, 1374, 543, 3280, 2298, 568, 513, 1950, 835, 267, 6766, 676, 513, 3099, 540, 2188, 267, 1519, 519, 2326, 1031, 267, 519, 3337, 543, 2450, 540, 519, 6293, 267, 543, 519, 6127, 1031, 547, 3132, 3280, 563, 3080, 540, 519, 1883, 2188, 602, 5540, 519, 3280, 2298, 540, 606, 6293, 568, 519, 1570, 621, 568, 1500, 689, 269, 7756, 2326, 723, 1114, 3601, 602, 1860, 519, 1259, 789, 5854, 622, 543, 3132, 3280, 269, 1280, 1383, 267, 519, 11308, 1560, 540, 606, 17974, 13176, 568, 2966, 547, 5854, 622, 538, 513, 1808, 1259, 547, 3132, 513, 3638, 267, 3636, 3159, 267, 1247, 519, 4496, 1560, 540, 606, 3167, 13176, 568, 2966, 547, 3132, 513, 6505, 267, 8325, 3280, 269, 634, 3903, 540, 1570, 666, 849, 1860, 519, 16982, 540, 519, 6293, 267, 799, 666, 3648, 1764, 519, 2298, 540, 519, 3280, 621, 7472, 563, 763, 3337, 543, 2450, 540, 606, 6293, 666, 849, 723, 513, 1713, 1764, 593, 922, 3280, 2298, 269, 634, 3337, 540, 606, 6293, 666, 1860, 519, 1259, 621, 5854, 919, 543, 519, 12451, 621, 7472, 267, 1247, 519, 2450, 540, 606, 6293, 666, 1860, 519, 4320, 543, 16879, 540, 922, 3280, 269, 1280, 1383, 267, 519, 3337, 540, 513, 30413, 568, 2966, 547, 1450, 519, 12673, 547, 5854, 622, 538, 513, 1808, 1259, 267, 6721, 513, 3638, 267, 3636, 3159, 267, 1247, 519, 2450, 540, 513, 25041, 564, 568, 2966, 547, 1450, 519, 6345, 547, 3132, 513, 10978, 267, 1788, 532, 3280, 563, 7661, 267, 519, 6127, 1031, 547, 3132, 3280, 666, 849, 1860, 519, 2298, 540, 519, 3280, 269, 1280, 1383, 267, 519, 12673, 540, 513, 13176, 616, 2966, 547, 5854, 622, 538, 513, 1808, 1259, 547, 3132, 513, 1808, 3159, 267, 1247, 519, 10569, 540, 513, 14440, 616, 2966, 547, 10880, 519, 12673, 538, 513, 1808, 1259, 547, 3132, 513, 1808, 4626, 3691, 269, 634, 1374, 540, 891, 6127, 666, 3648, 1764, 519, 2298, 540, 519, 3280, 3812, 676, 519, 6293, 563, 1103, 3932, 267, 519, 1374, 540, 513, 7574, 6293, 4249, 513, 2629, 1909, 538, 8159, 519, 2298, 540, 3280, 621, 7472, 269, 634, 3903, 540, 2326, 267, 519, 3337, 543, 2450, 540, 519, 6293, 267, 543, 519, 6127, 1031, 547, 3132, 3280, 666, 782, 1764, 519, 3159, 267, 4626, 3691, 267, 543, 16879, 540, 519, 3280, 3812, 676, 519, 6293, 269, 4197, 519, 2078, 1063, 6293, 1374, 543, 3280, 2298, 568, 1898, 585, 12372, 543, 6293, 15670, 7567, 267, 607, 621, 666, 948, 873, 547, 1711, 7405, 602, 3132, 519, 5207, 2298, 3280, 2009, 563, 26502, 2334, 18748, 14675, 13870, 538, 29698, 454, 306, 895, 2504, 538, 7574, 7405, 568, 513, 1950, 1184, 602, 3322, 1585, 2168, 9259, 269, 769, 1931, 547, 3132, 3280, 267, 7574, 7405, 1590, 1491, 883, 2272, 1896, 2188, 602, 1860, 519, 2504, 543, 6771, 540, 3280, 6329, 563, 763, 1570, 3601, 540, 606, 6293, 267, 971, 607, 922, 5860, 267, 22786, 267, 543, 20765, 267, 1404, 513, 2629, 1909, 538, 8159, 519, 3280, 621, 7472, 269, 1280, 1383, 267, 519, 3574, 1031, 538, 1818, 513, 30413, 610, 513, 13176, 568, 5402, 5697, 585, 922, 5860, 543, 22786, 267, 799, 1860, 519, 6293, 779, 19089, 543, 3280, 2298, 563, 4537, 1901, 543, 12025, 454, 763, 3337, 543, 2450, 540, 606, 6293, 849, 1404, 513, 2629, 1909, 538, 8159, 922, 3280, 2504, 269, 634, 3337, 540, 606, 6293, 779, 1560, 543, 922, 6949, 908, 12068, 666, 1860, 519, 1259, 3280, 6329, 616, 3812, 543, 28659, 269, 1280, 1383, 267, 519, 3337, 540, 513, 13176, 779, 1560, 543, 519, 2450, 540, 922, 3280, 8559, 666, 3648, 1860, 519, 6293, 779, 512, 4689, 2298, 563, 300, 19830, 2033 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 293, 1168, 2242, 2938, 674, 12195, 7575, 7372, 4452, 538, 649, 324, 3108, 1715, 2048, 26165, 24610, 20371, 514, 2282, 2104, 607, 4559, 1793, 730, 585, 454, 19604, 4011, 4871, 4421, 28673, 538, 11313, 1240, 454, 289, 312, 623, 2969, 305, 27912, 15966, 17920, 8780, 2207, 1923, 4856, 22046, 550, 15760, 700, 26721, 2098, 288, 295, 301, 2207, 1923, 16065, 27752, 16841, 9465, 899, 6808, 8279, 602, 1131, 15760, 16692, 289, 10292, 292, 595, 12678, 2177, 1923, 16065, 27752, 454, 928, 539, 547, 581, 6410, 267, 519, 5996, 1195, 1107, 23608, 538, 1496, 16942, 6870, 2639, 288, 1689, 568, 2693, 4947, 547, 1548, 949, 581, 835, 540, 519, 4102, 6472, 2938, 10783, 623, 15127, 267, 1287, 21986, 532, 966, 3266, 16047, 679, 8905, 454, 1805, 269, 12359, 773, 4639, 25376, 4582, 731, 269, 23320, 593, 519, 9897, 540, 853, 269, 12359, 773, 6019, 538, 2487, 1296, 7178, 1107, 5645, 519, 1101, 540, 3670, 13907, 540, 5458, 1024, 268, 769, 1175, 513, 7008, 3275, 267, 513, 476, 19054, 8894, 26322, 7813, 267, 693, 519, 954, 5913, 268, 10138, 922, 1259, 7178, 538, 519, 649, 324, 3108, 540, 519, 544, 1941, 268, 2144, 2209, 543, 18434, 646, 320, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 774, 18115, 619, 1315, 6481, 1315, 5029, 3004, 16751, 543, 28610, 532, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 590, 1097, 628, 1014, 9177, 910, 32633, 6758, 540, 9147, 6239, 5607, 692, 7072, 912, 5970, 596, 2479, 4862, 540, 9930, 6758, 286, 1358, 941, 2516, 540, 1004, 945, 4769, 1405, 3251, 538, 835, 1747, 855, 6410, 1472, 609, 741, 5321, 267, 2831, 267, 543, 28378, 269, 4653, 267, 1577, 781, 2263, 513, 4241, 1895, 540, 3504, 9930, 6758, 1572, 519, 590, 1097, 628, 2103, 256, 1452, 11570, 5030, 811, 982, 476, 273, 267, 4335, 1296, 3516, 538, 519, 3148, 1634, 2221, 607, 6239, 5607, 267, 799, 2882, 2477, 899, 27782, 16330, 267, 918, 10455, 4445, 345, 16330, 267, 29069, 1731, 6017, 267, 772, 345, 31990, 6017, 267, 543, 12395, 5443, 6017, 269, 1924, 267, 10544, 707, 1394, 335, 2931, 267, 1317, 938, 3460, 998, 942, 5956, 1631, 2439, 16908, 593, 519, 8844, 912, 5331, 2348, 547, 3640, 909, 3388, 596, 1378, 1169, 1906, 3275, 543, 3001, 547, 513, 1007, 4087, 256, 2334, 729, 1272, 585, 519, 590, 1097, 628, 2103, 269, 4256, 5321, 15538, 540, 15409, 512, 757, 1572, 586, 584, 1206, 267, 1500, 689, 3662, 32675, 21401, 936, 11308, 14604, 269, 901, 4847, 873, 547, 3362, 2736, 1524, 741, 24181, 543, 2951, 609, 741, 31459, 547, 1265, 4195, 2250, 999, 269, 12389, 713, 1259, 2838, 6266, 540, 4058, 543, 9316, 1369, 519, 2146, 269, 2052, 596, 1589, 540, 2413, 6377, 5973, 757, 1141, 1004, 1869, 2661, 9930, 611, 1227, 286, 630, 324, 3052, 1421, 2235, 4926, 2020, 9209, 2065, 7066, 9778, 912, 3080, 5863, 3364, 827, 519, 590, 1097, 628, 2103, 568, 875, 9952, 789, 941, 693, 1818, 6946, 3615, 856, 540, 4154, 267, 19730, 267, 543, 824, 2326, 269, 16329, 5505, 723, 4362, 10875, 4773, 540, 14446, 267, 9604, 267, 543, 1256, 7504, 8214, 24224, 609, 14969, 6272, 269, 5994, 4466, 513, 11344, 8405, 331, 864, 8032, 899, 513, 1989, 858, 514, 1107, 513, 26704, 13442, 609, 519, 1560, 540, 513, 17794, 543, 2212, 540, 606, 23914, 256, 3509, 540, 891, 6909, 3688, 666, 581, 2938, 538, 15882, 2066, 519, 1158, 269, 5620, 596, 2479, 10272, 513, 9754, 8858, 10023, 3504, 16782, 286, 1548, 1705, 596, 2972, 7487, 2496, 27154, 18903, 912, 12441, 596, 917, 602, 519, 590, 1097, 628, 2103, 6068, 2831, 865, 1454, 602, 789, 1419, 3769, 2592, 540, 873, 538, 741, 11247, 286, 12292, 4371, 2620, 13513, 585, 519, 590, 1097, 628, 2103, 282, 3006, 789, 6719, 1379, 267, 1247, 824, 2053, 267, 789, 11542, 585, 4027, 269, 32130, 5129, 513, 1713, 1909, 538, 590, 1097, 628, 1014, 2528, 2094, 789, 1031, 873, 585, 6283, 267, 10122, 267, 543, 13137, 269, 10705, 267, 9640, 1131, 581, 12617, 7258, 741, 5411, 950, 789, 5293, 2476, 267, 4180, 2922, 8574, 883, 519, 1310, 5158, 269, 1215, 798, 2831, 3180, 2027, 2495, 585, 1114, 4529, 2429, 1686, 286, 2052, 596, 2012, 1022, 6698, 2404, 609, 1808, 7068, 2496, 11328, 8588, 2622, 912, 10214, 1498, 519, 590, 1097, 628, 2103, 5030, 5215, 540, 1296, 3516, 267, 789, 1185, 4296, 609, 1082, 11397, 3338, 269, 1280, 1383, 267, 15456, 4681, 7866, 602, 789, 21775, 5370, 609, 10255, 267, 5527, 267, 3127, 267, 543, 3624, 256, 1635, 27300, 1585, 2472, 971, 607, 14546, 267, 10475, 8407, 267, 543, 18955, 20955, 267, 519, 590, 1097, 628, 2103, 5280, 1711, 513, 5318, 3060, 16046, 3875, 12977, 269, 27355, 1406, 621, 3579, 547, 4952, 18318, 10707, 5195, 1175, 547, 2671, 2189, 3688, 609, 1142, 824, 286, 2052, 596, 2097, 909, 609, 2413, 6377, 1806, 540, 3486, 4123, 8220, 3309, 4025, 2496, 6962, 912, 7437, 4974, 519, 2729, 540, 3504, 9930, 6758, 899, 519, 590, 1097, 628, 2103, 267, 649, 1451, 3407, 4245, 827, 13916, 267, 4199, 6888, 267, 543, 2518, 32144, 2032, 269, 9282, 741, 6197, 1522, 3100, 9490, 3379, 547, 23600, 267, 3314, 602, 3425, 723, 2141, 1336, 3860, 2081, 547, 8853, 538, 4101, 5054, 269, 8921, 942, 596, 3643, 513, 9754, 610, 1224, 827, 1686, 267, 1832, 606, 3750, 856, 585, 15244, 2451, 3297, 676, 7415, 4529, 899, 519, 590, 1097, 628, 2103, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 293, 13399, 640, 609, 14655, 24821, 454, 763, 1148, 540, 14655, 24821, 22805, 568, 1134, 8153, 1851, 1004, 782, 1472, 519, 1158, 269, 1403, 596, 723, 2479, 1044, 547, 835, 540, 519, 14655, 24821, 6990, 267, 596, 1590, 581, 9599, 547, 1294, 513, 1158, 540, 3270, 543, 4778, 543, 5898, 269, 22628, 782, 602, 1148, 543, 5898, 538, 513, 1079, 8386, 31644, 610, 1614, 8386, 21144, 7406, 610, 1022, 824, 3337, 543, 2450, 949, 5000, 4896, 547, 4444, 513, 4604, 540, 1346, 4190, 678, 13903, 267, 1631, 2901, 585, 946, 610, 922, 16560, 2460, 269, 769, 1022, 2013, 267, 972, 568, 1100, 8969, 602, 22504, 24095, 568, 835, 540, 519, 1034, 2442, 15790, 1115, 538, 519, 1158, 543, 814, 513, 1390, 10639, 267, 8560, 543, 21239, 269, 3371, 649, 4983, 519, 2601, 585, 519, 8560, 540, 14655, 24821, 563, 763, 1686, 540, 14655, 24821, 454, 10111, 7065, 4966, 3494, 602, 519, 1148, 540, 24095, 22805, 24865, 689, 5607, 269, 12824, 2161, 9459, 267, 12395, 652, 534, 543, 519, 24272, 30510, 616, 519, 3119, 524, 2784, 548, 540, 24095, 22805, 269, 634, 15997, 540, 930, 5931, 2303, 602, 519, 1148, 540, 24095, 22805, 11478, 1279, 1354, 2441, 269, 25587, 5259, 10564, 543, 12473, 540, 18749, 2540, 7460, 267, 4330, 513, 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, 1097, 628, 1014, 9177, 257, 607, 851, 540, 834, 19615, 1315, 5607, 1315, 6239, 5607, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 590, 21262, 700, 5819, 1399, 543, 15762, 337, 12715, 281, 30557, 8625, 3414, 774, 1157, 543, 774, 514, 692, 1103, 3885, 609, 811, 982, 835, 1126, 267, 16254, 2671, 513, 2189, 6125, 269, 29564, 543, 19946, 949, 4339, 3006, 267, 855, 789, 849, 1413, 856, 585, 1142, 824, 543, 6529, 1927, 950, 2053, 616, 9157, 269, 4653, 267, 649, 2811, 2469, 547, 2263, 24107, 14017, 543, 15093, 998, 2984, 827, 14552, 543, 19946, 2324, 1927, 547, 7753, 2591, 780, 5331, 596, 543, 707, 7015, 610, 11078, 941, 18843, 539, 593, 606, 14542, 4541, 1310, 513, 5624, 1222, 29840, 256, 16319, 17559, 267, 1318, 286, 1809, 1018, 952, 596, 1185, 547, 7048, 593, 1142, 824, 585, 6668, 286, 16393, 596, 2322, 11735, 1022, 3604, 543, 960, 1927, 547, 1265, 3106, 2496, 4131, 781, 2743, 1079, 3197, 267, 681, 1054, 543, 966, 5028, 267, 945, 1336, 2933, 538, 4010, 713, 3510, 1107, 4849, 789, 5749, 1405, 1480, 16254, 282, 3079, 267, 789, 4866, 547, 1114, 2249, 1572, 26751, 331, 832, 543, 18972, 6606, 269, 4014, 789, 2097, 689, 3309, 10080, 267, 789, 1869, 1995, 2178, 4606, 540, 24107, 6438, 4276, 2429, 741, 7045, 780, 305, 1054, 267, 1373, 6793, 543, 811, 4810, 538, 9813, 5054, 267, 3217, 5279, 1247, 7863, 966, 5028, 269, 6736, 4743, 6537, 547, 1200, 267, 646, 759, 1235, 1010, 13821, 1317, 646, 11099, 621, 781, 519, 8956, 762, 3364, 547, 798, 269, 11531, 267, 966, 5028, 3788, 2318, 543, 4199, 995, 1256, 950, 6849, 3875, 829, 2812, 269, 4173, 8990, 4665, 919, 681, 1054, 547, 3251, 2178, 543, 5059, 593, 4466, 948, 780, 9961, 741, 3460, 267, 1312, 4159, 7415, 6411, 540, 1582, 16531, 269, 1280, 3236, 267, 972, 781, 513, 4090, 1141, 681, 1054, 4220, 1010, 1272, 547, 4688, 966, 5028, 689, 8594, 269, 6684, 267, 966, 5028, 3096, 1200, 1983, 547, 7816, 2792, 3457, 267, 15691, 547, 6494, 513, 15063, 5365, 5103, 6616, 621, 1223, 4482, 20935, 30659, 269, 1452, 8320, 5031, 875, 2484, 16254, 1522, 979, 547, 2327, 741, 13413, 262, 8171, 780, 3719, 1946, 1281, 24107, 14017, 2339, 286, 4208, 1281, 4896, 991, 547, 1981, 741, 2729, 585, 2576, 3116, 286, 4270, 267, 2348, 1004, 945, 1416, 7184, 827, 721, 3947, 938, 2729, 2495, 543, 3483, 269, 18833, 602, 1866, 4096, 593, 721, 666, 8300, 10100, 543, 4222, 1282, 4101, 3871, 269, 1635, 7555, 909, 585, 1346, 649, 2648, 267, 649, 1451, 3407, 4245, 827, 8296, 267, 6568, 267, 543, 5539, 780, 8170, 1576, 267, 16254, 1810, 1405, 2141, 1205, 2059, 9985, 269, 6884, 267, 22195, 1291, 547, 7440, 610, 10151, 20711, 1206, 269, 1717, 267, 891, 7526, 1419, 1267, 538, 2208, 543, 4514, 1620, 1063, 16254, 269, 1879, 5185, 609, 14488, 267, 16254, 2356, 3314, 741, 3838, 1686, 543, 7485, 1927, 2864, 982, 20847, 6306, 780, 3086, 1589, 1394, 547, 707, 1378, 3347, 609, 707, 14552, 543, 19946, 269, 5620, 596, 2479, 5433, 8825, 936, 873, 286, 2107, 5310, 789, 11542, 909, 585, 596, 950, 596, 2877, 1489, 269, 9320, 596, 4312, 11130, 1354, 267, 855, 2663, 7691, 875, 1454, 596, 5921, 547, 1142, 824, 269, 2353, 891, 2833, 3565, 547, 2679, 796, 19874, 762, 7554, 602, 2063, 513, 10715, 780, 2026, 596, 3136, 3395, 4587, 267, 10027, 880, 707, 4296, 609, 707, 16254, 269, 4634, 1498, 24515, 786, 4755, 12212, 267, 1832, 538, 2247, 602, 2620, 1524, 267, 596, 3513, 2141, 1796, 676, 1142, 824, 269, 3807, 899, 681, 1054, 543, 966, 5028, 267, 596, 666, 6330, 8726, 9465, 2097, 707, 1259, 607, 1279, 607, 596, 3972, 543, 1489, 835, 1776, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 300, 3041, 31064, 12813, 3198, 4953, 645, 25604, 630, 309, 2464, 299, 3036, 13878, 2464, 21398, 10498, 476, 275, 264, 676, 700, 4768, 2335, 1684, 327, 1676, 454, 309, 306, 8074, 281, 2701, 779, 835, 540, 1250, 5172, 4589, 543, 594, 729, 865, 6126, 547, 723, 513, 1007, 835, 689, 1200, 713, 3018, 7498, 2691, 1010, 26751, 3271, 23454, 4267, 513, 11605, 1289, 593, 4541, 645, 3438, 267, 681, 1054, 25395, 513, 6852, 31848, 269, 634, 2370, 4775, 3884, 1406, 7787, 543, 4234, 2583, 5196, 1864, 899, 513, 3076, 5202, 269, 2334, 26208, 681, 1054, 267, 2094, 1034, 3425, 4250, 1864, 269, 901, 835, 4465, 1406, 1577, 1864, 979, 267, 855, 646, 1590, 5706, 1010, 7287, 585, 1200, 269, 898 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15020, 2147, 547, 1776, 7839, 2249, 667, 1675, 517, 1728, 560, 3700, 267, 855, 814, 10156, 267, 1447, 10053, 543, 1799, 9394, 838, 1149, 269, 4236, 32596, 4544, 609, 3109, 9634, 267, 543, 10652, 20723, 267, 2356, 12062, 532, 609, 13735, 18047, 563, 16655, 12025, 281, 476, 4649, 4699, 454, 5353, 320, 18323, 16186, 281, 476, 736, 269, 272, 268, 4029, 269, 278, 9180, 454, 291, 3704, 281, 476, 272, 910, 476, 15221, 544, 454, 295, 629, 18945, 4937, 1436, 12039, 281, 476, 272, 269, 4510, 454, 9827, 5219, 547, 607, 519, 590, 22835, 630, 11854, 2886, 4937, 5314, 12039, 1070, 713, 6257, 519, 7226, 13395, 4560, 540, 519, 2249, 269, 15661, 609, 2418, 1447, 982, 476, 1428, 616, 1336, 538, 513, 5266, 7522, 2039, 540, 11818, 7226, 2010, 630, 338, 2133, 1235, 1070, 1247, 1346, 936, 476, 1839, 949, 581, 1336, 593, 1034, 2182, 26828, 1369, 741, 2039, 630, 2102, 1968, 1235, 1040, 6258, 811, 1934, 563, 8256, 3569, 543, 681, 10846, 454, 296, 30002, 21073, 281, 3502, 10159, 18050, 454, 30999, 584, 5270, 281, 5606, 7528, 550, 630, 274, 269, 273, 260, 540, 4609, 994, 30999, 584, 5270, 6257, 875, 1419, 519, 2249, 568, 1336, 593, 12220, 1369, 922, 3892, 269, 898, 568, 7229, 607, 519, 4939, 540, 11818, 4609, 23500, 676, 681, 11862, 4129, 2066, 782, 519, 3235, 648, 326, 687, 538, 799, 519, 2249, 814, 1044, 4767, 454, 6781, 1495, 766, 281, 23225, 630, 273, 829, 17464, 4167, 994, 6781, 1495, 766, 568, 7229, 607, 519, 3328, 1297, 540, 2043, 6592, 829, 681, 11862, 17464, 4167, 267, 1141, 1459, 563, 31171, 676, 281, 15608, 1744, 3658, 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, 1708, 273, 282, 596, 666, 849, 3643, 519, 3312, 15745, 563, 763, 3758, 1826, 568, 454, 288, 1715, 11822, 6396, 547, 5071, 667, 9298, 1380, 532, 3213, 2812, 4635, 25080, 667, 760, 3421, 454, 22711, 540, 13149, 3163, 543, 7177, 454, 7712, 20140, 1149, 616, 6140, 1500, 540, 7542, 11424, 2326, 267, 4550, 28175, 3405, 710, 13137, 8484, 3713, 20140, 1149, 1210, 782, 5686, 540, 11275, 18852, 269, 769, 1931, 547, 1118, 519, 26747, 11275, 1227, 14980, 267, 621, 568, 2356, 9280, 609, 2554, 320, 1380, 532, 27810, 547, 9243, 1125, 519, 6419, 31096, 269, 1717, 267, 609, 519, 2799, 2450, 540, 519, 26747, 267, 811, 27810, 616, 2877, 676, 6671, 2554, 320, 1380, 532, 2409, 267, 543, 519, 2554, 320, 1380, 532, 1062, 3587, 1950, 547, 1374, 543, 2936, 269, 1677, 14458, 519, 1374, 540, 20140, 1441, 16211, 281, 1015, 269, 26552, 271, 10768, 332, 572, 6200, 26522, 4817, 3170, 13906, 281, 336, 548, 913, 336, 343, 274, 329, 325, 345, 671, 336, 277, 629, 327, 329, 341, 345, 597, 2190, 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, 15307, 26305, 654, 3739, 1145, 547, 9796, 547, 13363, 589, 576, 638, 807, 7054, 3419, 566, 543, 9177, 281, 16497, 689, 5842, 20353, 3241, 6019, 267, 28679, 454, 3682, 17503, 910, 7054, 3419, 566, 267, 5980, 543, 23721, 269, 17650, 1393, 547, 7338, 674, 269, 717, 5585, 454, 25565, 8904, 10480, 12555, 1949, 538, 3571, 3966, 334, 2950, 538, 1715, 6792, 267, 7330, 267, 616, 5219, 547, 607, 513, 576, 638, 5362, 269, 4826, 20317, 568, 4867, 30070, 16395, 1063, 513, 576, 638, 5362, 543, 25772, 936, 4687, 11650, 269, 3194, 593, 18515, 547, 2628, 547, 2149, 543, 2226, 513, 576, 638, 5362, 568, 1869, 17077, 269, 1452, 29925, 1239, 1223, 581, 5363, 547, 2087, 519, 2298, 540, 1216, 2200, 3375, 1818, 543, 4061, 6917, 1646, 2994, 538, 713, 3148, 267, 799, 568, 5266, 4057, 3379, 8742, 281, 1015, 269, 275, 4200, 276, 270, 529, 331, 1001, 275, 269, 1001, 275, 269, 13078, 3170, 13906, 281, 329, 326, 343, 323, 329, 342, 671, 3960, 323, 2767, 329, 277, 333, 275, 331, 641, 341, 277, 551, 274, 336, 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, 1708, 273, 282, 596, 666, 849, 3643, 519, 3312, 15745, 563, 763, 3758, 1826, 568, 454, 27662, 12389, 9177, 998, 6732, 4804, 4635, 7913, 9012, 585, 28133, 4400, 3427, 4841, 454, 17220, 4750, 540, 3194, 543, 11930, 5303, 454, 763, 3483, 540, 713, 1353, 729, 547, 20272, 519, 3450, 540, 2973, 543, 2635, 2713, 2528, 538, 3232, 1272, 998, 2228, 1565, 1210, 3059, 2923, 269, 901, 1565, 3096, 28652, 11401, 267, 24440, 3029, 543, 519, 6478, 13665, 3135, 543, 2488, 5910, 652, 543, 2022, 11687, 1354, 543, 1310, 1565, 547, 476, 2420, 21738, 1164, 1153, 1053, 538, 4303, 684, 10588, 269, 4804, 5956, 676, 10962, 513, 2973, 543, 2635, 2713, 2528, 543, 519, 946, 540, 3059, 2923, 971, 607, 28652, 11401, 267, 5616, 3029, 543, 519, 6478, 13665, 3135, 269, 2776, 11687, 543, 8742, 281, 1015, 269, 22430, 1015, 30032, 329, 23847, 577, 18192, 273, 328, 272, 269, 6858, 273, 280, 3170, 13906, 281, 323, 342, 325, 31918, 276, 572, 340, 2763, 345, 325, 330, 321, 597, 573, 341, 336, 651, 2329 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3339, 267, 855, 538, 1931, 547, 723, 513, 1434, 5967, 267, 519, 11134, 1590, 2259, 2807, 1496, 15912, 281, 19877, 267, 25477, 267, 12054, 328, 3613, 19099, 5967, 2639, 278, 3953, 1913, 630, 273, 269, 272, 3817, 994, 268, 3958, 267, 1711, 513, 1592, 540, 4439, 548, 1540, 4267, 547, 519, 1034, 1455, 5967, 2055, 267, 855, 2119, 711, 547, 3280, 899, 596, 616, 2542, 873, 269, 7053, 267, 723, 513, 5299, 540, 707, 16056, 538, 4395, 540, 596, 269, 5269, 2386, 602, 596, 616, 538, 513, 9602, 4087, 602, 568, 1863, 689, 19240, 269, 5901, 707, 6049, 29789, 2673, 693, 1688, 538, 2013, 707, 6049, 12357, 569, 5956, 547, 5884, 269, 1879, 16460, 2055, 267, 1118, 2386, 547, 23249, 1354, 596, 2253, 547, 2626, 607, 713, 2306, 2386, 602, 519, 5967, 518, 568, 4625, 2944, 609, 1018, 789, 723, 547, 2161, 2807, 1496, 15912, 281, 19877, 267, 12054, 328, 3613, 19099, 5967, 2639, 9965, 271, 1913, 630, 276, 269, 272, 3817, 994, 268, 11545, 307, 1307, 1715, 4944, 1653, 674, 8845, 32684, 814, 1044, 835, 540, 519, 1034, 25992, 4589, 856, 972, 2221, 269, 3509, 1004, 23507, 1010, 960, 267, 855, 646, 779, 2182, 547, 6952, 543, 1246, 1813, 547, 1010, 11112, 8430, 543, 2123, 6197, 1373, 606, 23931, 269, 2201, 519, 476, 866, 628, 540, 5437, 476, 4572, 276, 594, 729, 2016, 513, 4960, 547, 2743, 909, 609, 674, 269, 8845, 32684, 267, 547, 1865, 827, 519, 900, 5799, 3209, 2854, 676, 1864, 968, 763, 4279, 30056, 892, 693, 1010, 2777, 538, 11968, 13353, 269, 634, 2835, 827, 513, 4057, 5828, 14547, 812, 267, 30056, 543, 1010, 3801, 593, 3478, 1010, 2250, 24158, 1394, 2807, 1496, 15912, 281, 19877, 4828, 2639, 4817, 278, 1913, 630, 273, 269, 278, 3817, 994, 268, 1323, 5967, 729, 5342, 609, 519, 12751, 16711, 20229, 630, 290, 17472, 264, 693, 606, 8650, 1416, 9744, 269, 901, 4901, 2847, 9407, 1472, 519, 1739, 281, 1200, 2511, 540, 2359, 267, 2511, 540, 2792, 267, 3375, 6194, 1983, 267, 2930, 1983, 543, 15518, 908, 1983, 269, 6969, 4687, 1808, 6114, 547, 1142, 540, 891, 267, 519, 595, 17472, 4941, 547, 12172, 602, 1317, 1352, 729, 1007, 547, 519, 3919, 543, 1739, 2576, 945, 1185, 1044, 538, 713, 2990, 585, 936, 476, 736, 1296, 267, 1282, 519, 1101, 1032, 543, 5912, 5123, 267, 972, 941, 1978, 3871, 538, 799, 1352, 729, 29596, 14577, 1200, 5718, 2511, 547, 3514, 519, 2528, 540, 519, 3919, 2807, 1496, 15912, 281, 19877, 10749, 2639, 279, 8618, 1913, 630, 273, 269, 276, 3817, 994, 268, 24910, 4446, 21884, 2910, 300, 476, 21497, 4873, 476, 273, 526, 267, 476, 1001, 278, 19877, 4828, 1879, 10647, 606, 5967, 267, 972, 616, 1896, 3268, 602, 1058, 581, 3144, 883, 7156, 269, 3245, 519, 8792, 602, 596, 2743, 519, 954, 341, 773, 933, 324, 267, 606, 6644, 568, 1500, 540, 519, 2949, 7099, 585, 519, 5967, 269, 4475, 267, 621, 568, 1271, 547, 1376, 519, 5967, 532, 1184, 1055, 593, 513, 2318, 4063, 269, 634, 5967, 568, 519, 1101, 5872, 609, 513, 2754, 269, 1306, 519, 5967, 518, 267, 596, 616, 9117, 607, 519, 968, 2183, 892, 540, 519, 2754, 1107, 18071, 513, 2318, 12705, 540, 519, 2754, 3850, 585, 2318, 8039, 543, 5955, 593, 519, 2754, 2807, 1496, 15912, 281, 19877, 267, 12054, 328, 3613, 19099, 5967, 2639, 11820, 271, 1913, 630, 274, 269, 272, 3817, 994, 268, 1879, 8655, 609, 519, 4305, 547, 5967, 2576, 267, 594, 6785, 602, 594, 4941, 547, 1118, 519, 1034, 856, 540, 621, 543, 798, 606, 5967, 602, 1131, 581, 4052, 543, 594, 1223, 4324, 689, 3544, 540, 519, 7084, 269, 8056, 2664, 2299, 594, 1498, 540, 835, 540, 1250, 546, 6758, 1655, 3659, 267, 20913, 267, 945, 779, 3924, 568, 5092, 4871, 518, 267, 519, 3169, 3924, 594, 4126, 547, 723, 835, 1554, 269, 1879, 594, 6603, 856, 547, 20913, 646, 729, 811, 982, 6126, 547, 1694, 1524, 609, 803, 267, 2705, 646, 6035, 547, 1305, 803, 909, 609, 968, 1492, 812, 945, 8255, 1919, 1472, 1934, 5608, 1010, 20148, 9291, 945, 729, 1312, 519, 9972, 25129, 543, 13653, 540, 519, 6109, 2807, 1496, 15912, 281, 7726, 267, 19877, 267, 14351, 30549, 267, 22062, 566, 2639, 10482, 277, 1913, 630, 274, 269, 272, 3817, 994, 268, 1403, 513, 1268, 568, 3843, 547, 2744, 7694, 267, 972, 616, 930, 3268, 602, 2356, 616, 4553, 269, 2290, 540, 891, 3268, 568, 519, 7694, 5967, 267, 799, 568, 513, 2565, 4062, 547, 3478, 21534, 676, 513, 5133, 2754, 269, 4197, 1018, 519, 7694, 5967, 1303, 527, 956, 543, 875, 547, 5965, 585, 835, 666, 1267, 538, 17849, 2576, 610, 711, 17849, 2576, 269, 1323, 5967, 538, 2489, 568, 513, 5870, 540, 1079, 610, 811, 1004, 267, 799, 835, 630, 5793, 1613, 518, 264, 610, 811, 630, 5793, 1613, 619, 264, 7606, 2055, 519, 824, 630, 5793, 341, 773, 933, 324, 264, 610, 1866, 630, 5793, 341, 773, 933, 525, 264, 2807, 1496, 15912, 281, 19877, 267, 12054, 328, 3613, 19099, 5967, 2639, 15793, 272, 1913, 630, 274, 269, 280, 3817, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20316, 454, 2252, 596, 723, 513, 1164, 2837, 610, 596, 798, 711, 1745, 1134, 2614, 547, 798, 707, 3339, 2238, 267, 2119, 547, 3251, 693, 1753, 543, 2057, 3346, 609, 824, 1004, 2394, 596, 1745, 1732, 563, 2791, 798, 711, 991, 547, 946, 782, 540, 519, 3070, 267, 855, 1118, 513, 4195, 3070, 1142, 942, 596, 2973, 707, 9224, 563, 9827, 6744, 281, 634, 7454, 6925, 1280, 589, 16429, 639, 25124, 454, 307, 11661, 16429, 639, 32035, 9453, 25095, 7821, 454, 2467, 616, 849, 8374, 602, 666, 1020, 609, 21341, 593, 891, 5061, 269, 634, 811, 11216, 616, 1031, 519, 1447, 2500, 789, 666, 1831, 267, 609, 2009, 2427, 2360, 899, 21994, 267, 7181, 2042, 543, 30919, 563, 21156, 540, 7432, 547, 11216, 267, 21142, 1230, 3118, 267, 631, 6185, 1421, 1920, 10629, 693, 25832, 18669, 2657, 3590, 8071, 4593, 534, 16195, 538, 8751, 1695, 267, 5267, 930, 4244, 2409, 540, 2126, 269, 3220, 269, 1230, 3118, 3081, 267, 3689, 540, 782, 267, 596, 1058, 2285, 3054, 2614, 1964, 269, 2659, 1560, 2115, 519, 942, 547, 4339, 519, 3968, 609, 2407, 3196, 267, 2523, 538, 519, 1101, 1906, 2395, 950, 2589, 616, 519, 1034, 4049, 563, 7804, 269, 1230, 3118, 849, 3081, 269, 13772, 856, 585, 936, 7308, 23716, 2472, 602, 2270, 3404, 2096, 564, 1794, 13238, 269, 1452, 2472, 949, 14867, 2589, 585, 513, 1906, 2395, 267, 855, 789, 666, 2014, 20316, 952, 1031, 3476, 982, 1614, 2395, 269, 5502, 267, 946, 13598, 29660, 788, 1117, 9068, 21447, 952, 596, 616, 28077, 909, 585, 811, 982, 1614, 2395, 563, 306, 19434, 5563, 666, 2490, 883, 513, 9190, 3968, 267, 1813, 547, 519, 12675, 31797, 538, 519, 18980, 13570, 269, 898, 568, 711, 2653, 547, 3313, 2436, 519, 3968, 568, 10194, 610, 9190, 267, 6236, 602, 519, 2589, 616, 519, 1482, 585, 1312, 269, 4634, 952, 519, 3968, 3587, 9190, 267, 476, 3583, 260, 540, 519, 942, 519, 3968, 786, 979, 2476, 1369, 1079, 4374, 1510, 11216, 563, 258, 1948, 1948, 0, 763, 11957, 540, 8535, 585, 5753, 454, 24523, 568, 711, 1175, 513, 17175, 2250, 830, 282, 621, 781, 513, 3532, 1907, 585, 7393, 707, 1126, 781, 1646, 269, 634, 2640, 540, 10962, 2575, 2038, 538, 707, 1126, 781, 1272, 616, 3808, 1652, 269, 3245, 5807, 5876, 543, 3929, 4082, 547, 28798, 5042, 1983, 543, 1893, 1646, 267, 2575, 4249, 513, 11358, 1909, 538, 707, 1126, 779, 2208, 563, 763, 17943, 281, 13185, 267, 7327, 267, 543, 8672, 454, 763, 17943, 616, 476, 276, 1863, 543, 2653, 2081, 3237, 543, 15637, 666, 948, 5818, 2634, 1646, 585, 1762, 1453, 269, 13185, 267, 7327, 267, 543, 8672, 568, 513, 2241, 2943, 3532, 1259, 547, 3895, 2038, 1565, 543, 4296, 602, 2063, 513, 10715, 563, 1692, 8535, 30205, 338, 11020, 4886, 454, 268, 32754, 16508, 11106, 281, 8535, 7512, 1582, 22325, 267, 6568, 267, 543, 519, 2702, 547, 5431, 543, 6655, 4664, 563, 268, 30205, 16359, 10341, 281, 667, 3496, 543, 4730, 7405, 2087, 5386, 543, 14407, 5179, 1983, 563, 268, 4980, 10675, 27065, 281, 8535, 31168, 9345, 543, 5876, 267, 3850, 1453, 547, 2263, 741, 7499, 2427, 563, 310, 904, 547, 19308, 2859, 8535, 912, 268, 28042, 16474, 757, 281, 20864, 2575, 883, 3232, 13467, 899, 803, 5306, 830, 267, 8602, 942, 267, 543, 1404, 5503, 563, 268, 667, 5744, 7591, 4289, 281, 20644, 513, 3099, 540, 7574, 11964, 547, 16616, 707, 1126, 547, 1114, 4992, 543, 18819, 563, 268, 7327, 13966, 281, 7327, 8964, 609, 707, 1126, 269, 1656, 1100, 267, 789, 1810, 1406, 1416, 875, 621, 4992, 2336, 268, 19639, 618, 16709, 281, 3629, 2085, 29003, 7405, 585, 707, 1126, 547, 2263, 267, 899, 695, 5474, 267, 27120, 267, 610, 1535, 2643, 2684, 2158, 269, 5192, 3860, 952, 596, 1810, 1406, 723, 1022, 540, 891, 693, 1753, 268, 17428, 543, 31781, 1118, 5140, 27120, 563, 268, 19933, 9549, 281, 12414, 593, 930, 26107, 543, 723, 21245, 7544, 6105, 1927, 563, 28885, 2575, 883, 707, 1126, 781, 1272, 666, 581, 513, 17175, 3460, 540, 6602, 543, 1646, 269, 3502, 547, 2446, 267, 621, 779, 1187, 256, 1924, 267, 28958, 1169, 4316, 547, 1711, 7574, 8090, 1927, 267, 543, 4585, 607, 519, 1623, 21620, 540, 707, 1126, 781, 2208, 4652, 9529, 1354, 707, 4064, 256, 0, 288, 1535, 518, 529, 3874, 568, 513, 2511, 540, 30120, 602, 3085, 1405, 2154, 513, 2603, 540, 1216, 946, 547, 2226, 269, 898, 849, 11148, 547, 581, 811, 1970, 5826, 982, 1082, 824, 2010, 540, 2757, 30120, 269, 2473, 518, 4593, 16747, 616, 18705, 1472, 5722, 2241, 1374, 3741, 267, 543, 789, 666, 1413, 1360, 13267, 269, 901, 1826, 540, 30120, 568, 2442, 538, 2127, 1141, 519, 2916, 568, 3819, 855, 666, 581, 1336, 538, 824, 4025, 607, 1134, 563, 23763, 547, 1376, 1535, 518, 529, 3874, 30120, 286, 6258, 1018, 621, 568, 267, 543, 875, 547, 2226, 513, 1535, 518, 529, 3874, 13452, 563, 21581, 540, 519, 4303, 454, 3674, 898, 2473, 518, 529, 3874, 610, 2098, 14058, 3874, 888, 763, 2165, 834, 343, 25207, 4592, 257, 568, 519, 5259, 2262, 585, 834, 323, 787, 2437, 543, 519, 2165, 834, 343, 518, 529, 3874, 257, 729, 1101, 1031, 676, 28631, 267, 12548, 781, 1216, 10626, 267, 28631, 4826, 267, 538, 519, 476, 2735, 271, 338, 269, 6884, 267, 2705, 267, 950, 1004, 5873, 519, 2262, 834, 343, 518, 529, 3874, 2437, 789, 1589, 540, 513, 3046, 1066, 267, 4224, 23752, 610, 18205, 569, 1858, 602, 568, 6140, 27507, 540, 2371, 269, 901, 814, 3006, 1044, 5219, 547, 607, 834, 24029, 25597, 2437, 799, 533, 10280, 1187, 693, 713, 5251, 1374, 607, 513, 3946, 11325, 1259, 547, 2057, 15989, 1416, 543, 9004, 607, 1454, 540, 519, 13452, 5826, 607, 2009, 269, 4107, 1004, 1810, 1405, 946, 713, 2165, 538, 513, 2318, 1769, 267, 543, 713, 1826, 540, 1374, 568, 711, 1018, 1535, 518, 4593, 12686, 568, 827, 563, 3719, 14669, 547, 1018, 930, 3494, 267, 3811, 1535, 518, 4593, 16747, 666, 2965, 581, 1360, 10477, 543, 10694, 269, 1703, 616, 513, 5318, 1297, 540, 1114, 2371, 602, 666, 960, 1134, 538, 713, 1826, 540, 1374, 267, 543, 519, 11768, 568, 24617, 2808, 865, 607, 547, 1039, 9029, 547, 519, 1753, 269, 898, 3884, 1405, 606, 1310, 2288, 339, 610, 513, 835, 7146, 1673, 821, 1826, 540, 1935, 855, 2864, 513, 6857, 1544, 585, 1210, 519, 2067, 5251, 20762, 609, 2371, 602, 1810, 1405, 8532, 1804, 5666, 540, 1216, 269, 2755, 711, 585, 3025, 267, 713, 1826, 540, 5251, 1374, 666, 581, 1360, 10694, 547, 1978, 21427, 563, 8489, 547, 7233, 513, 2473, 518, 529, 3874, 962, 731, 454, 288, 1535, 518, 529, 3874, 5251, 1374, 15824, 1360, 1134, 585, 1346, 2713, 538, 513, 2916, 1141, 621, 781, 2352, 547, 1332, 610, 2226, 513, 2757, 15989, 610, 2030, 902, 602, 2154, 513, 1390, 4308, 540, 14450, 269, 2473, 518, 4593, 16747, 616, 513, 1434, 6474, 585, 25545, 16374, 610, 585, 2127, 602, 723, 513, 2603, 540, 8390, 538, 4365, 269, 901, 568, 835, 540, 519, 4128, 789, 616, 1419, 1336, 538, 4025, 971, 607, 912, 268, 12548, 630, 14588, 32496, 538, 519, 28631, 3148, 994, 268, 1715, 6792, 454, 4913, 267, 789, 616, 676, 1100, 1797, 11658, 547, 891, 4025, 543, 666, 960, 1134, 9170, 609, 513, 2370, 4058, 269, 2473, 518, 4593, 16747, 666, 581, 2813, 538, 782, 5546, 543, 7306, 543, 616, 5393, 2653, 547, 21160, 269, 6787, 621, 781, 513, 1507, 15429, 540, 2427, 13452, 267, 513, 1804, 18147, 610, 513, 695, 8014, 1858, 896, 4054, 267, 972, 781, 513, 1535, 518, 529, 3874, 5251, 1374, 602, 786, 960, 585, 519, 2230, 563, 27650, 17972, 540, 513, 2473, 518, 529, 3874, 454, 268, 14606, 9283, 454, 268, 31478, 12555, 1949, 454, 268, 7233, 10851, 454, 268, 5695, 325, 8925, 454, 7212, 519, 3169, 2934, 540, 513, 1535, 518, 529, 3874, 4677, 610, 5251, 666, 4268, 267, 519, 1292, 4099, 12328, 568, 1216, 5726, 543, 1216, 6165, 269, 667, 3754, 2389, 26985, 2371, 616, 519, 4295, 2934, 1472, 799, 1535, 518, 4593, 16747, 616, 3710, 269, 2755, 891, 1810, 1405, 723, 547, 581, 5065, 2371, 267, 952, 789, 616, 267, 789, 3513, 2154, 1447, 3037, 17203, 267, 607, 519, 2371, 786, 1332, 1134, 6923, 269, 4014, 519, 2262, 834, 343, 518, 529, 3874, 257, 666, 3142, 547, 2247, 2592, 540, 513, 28693, 267, 824, 1806, 540, 891, 2371, 1331, 32175, 267, 989, 1511, 267, 15118, 23803, 267, 543, 7626, 1146, 334, 269, 1548, 568, 5065, 5673, 593, 519, 3148, 563, 1320, 4454, 995, 12555, 568, 1776, 1883, 1535, 518, 529, 3874, 4183, 267, 543, 713, 1568, 1688, 538, 1688, 609, 22890, 547, 1832, 2371, 689, 15018, 856, 269, 25109, 4221, 11912, 1524, 593, 519, 2949, 1216, 2115, 538, 12630, 2127, 267, 543, 621, 849, 2337, 547, 2569, 18290, 2208, 267, 3976, 4543, 2569, 5826, 585, 519, 1753, 26782, 269, 589, 1434, 4494, 540, 22890, 849, 2337, 547, 2149, 3037, 689, 519, 15018, 2360, 540, 2842, 543, 3141, 563, 291, 8692, 12555, 568, 513, 1390, 6098, 1216, 5726, 1907, 267, 607, 621, 4991, 519, 1216, 1141, 621, 2115, 547, 979, 2864, 982, 30574, 621, 782, 936, 899, 513, 15914, 20057, 2401, 269, 4495, 6632, 267, 519, 22890, 8952, 519, 2666, 689, 15018, 856, 3533, 269, 2755, 7725, 543, 6149, 616, 1419, 1031, 538, 1535, 518, 4593, 16747, 267, 789, 4043, 547, 11677, 3002, 267, 865, 519, 4087, 543, 2179, 540, 891, 3688, 1058, 581, 6074, 24617, 563, 1692, 547, 19321, 513, 2473, 518, 529, 3874, 454, 7212, 513, 1535, 518, 529, 3874, 1374, 666, 1267, 538, 513, 811, 1970, 31720, 5199, 13452, 982, 513, 2757, 15989, 610, 824, 5251, 6272, 267, 621, 568, 711, 4625, 3946, 11325, 269, 4634, 998, 5230, 22890, 267, 18047, 786, 3006, 1402, 909, 267, 543, 930, 2371, 949, 4324, 689, 606, 17573, 18309, 610, 786, 991, 547, 581, 2759, 1394, 693, 1978, 2053, 540, 519, 1032, 269, 589, 2603, 540, 713, 5673, 593, 519, 1826, 540, 2371, 6074, 267, 865, 621, 17188, 547, 1382, 891, 1354, 3803, 1944, 513, 1544, 563, 9827, 267, 1832, 538, 2247, 602, 1256, 2371, 602, 1810, 1405, 991, 513, 2603, 540, 7509, 786, 1869, 2154, 930, 3063, 14450, 543, 512, 2056, 2394, 789, 616, 1134, 28004, 267, 610, 1282, 5712, 540, 10980, 267, 865, 581, 2386, 547, 1544, 9935, 269, 898, 781, 849, 5363, 547, 1895, 1927, 2371, 609, 2147, 14450, 2115, 547, 948, 609, 1216, 5726, 3646, 543, 8897, 540, 1416, 269, 0, 306, 2969, 630, 293, 718, 476, 1708, 274, 994, 268, 12020, 707, 20389, 2259, 454, 268, 9669, 585, 2500, 267, 3608, 4974, 454, 268, 9669, 585, 5883, 707, 1353, 942, 454, 268, 8490, 707, 2208, 14820, 454, 268, 1215, 547, 1491, 513, 2259, 20389, 454, 268, 1215, 547, 11578, 585, 519, 20389, 454, 268, 4530, 1554, 281, 1548, 547, 2503, 543, 1018, 547, 3142, 454, 268, 9669, 585, 1449, 1554, 454, 268, 15332, 519, 20389, 281, 2200, 585, 2852, 454, 11947, 1153, 568, 2407, 540, 2534, 269, 6787, 596, 1404, 5026, 267, 957, 538, 1153, 4249, 267, 723, 513, 2816, 267, 1491, 1416, 540, 16254, 267, 610, 616, 2921, 2182, 5049, 910, 610, 1256, 3257, 811, 982, 835, 540, 891, 1919, 256, 910, 596, 723, 3592, 6157, 6743, 693, 519, 9219, 1354, 543, 1044, 28280, 676, 875, 2370, 942, 596, 723, 547, 1205, 3388, 2944, 269, 774, 992, 20389, 3341, 883, 519, 3575, 267, 543, 621, 666, 3100, 899, 972, 1175, 5749, 1406, 2614, 3108, 538, 519, 1554, 563, 4407, 596, 949, 711, 581, 2111, 547, 2759, 1524, 593, 782, 540, 707, 9021, 1282, 20389, 2259, 942, 267, 972, 616, 930, 2081, 596, 666, 2497, 707, 4058, 543, 4974, 547, 1832, 1919, 2469, 12347, 543, 4180, 602, 4986, 4991, 2451, 676, 519, 2081, 728, 269, 11153, 1164, 1153, 1053, 6035, 909, 930, 540, 741, 942, 2359, 10372, 912, 289, 5456, 570, 7709, 1948, 272, 281, 5269, 513, 1353, 1544, 454, 19138, 513, 2370, 3787, 693, 513, 942, 281, 968, 763, 1101, 3364, 594, 1705, 729, 1491, 856, 513, 11706, 543, 5750, 856, 519, 1826, 540, 3296, 594, 729, 2469, 547, 1353, 1142, 1554, 269, 594, 6836, 547, 1353, 513, 2370, 3787, 1169, 1554, 540, 519, 3018, 543, 1491, 1055, 32300, 267, 855, 14661, 713, 607, 2877, 269, 594, 13948, 1589, 3257, 1134, 568, 827, 8108, 6208, 910, 4974, 513, 2370, 1142, 1554, 585, 513, 3923, 610, 1079, 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 ]
[ 5934, 6704, 2085, 568, 513, 3983, 2856, 269, 8158, 593, 4728, 476, 1839, 267, 476, 1001, 273, 689, 267, 5291, 2517, 4178, 6983, 4944, 6839, 3820, 270, 2692, 334, 2763, 270, 6447, 335, 2378, 716, 21867, 1160, 3519, 3820, 269, 630, 1001, 272, 267, 5239, 476, 2190, 1040, 2817, 23941, 540, 2657, 630, 25712, 295, 1040, 25530, 21848, 269, 3682, 3519, 3820, 563, 9617, 1317, 835, 568, 2808, 606, 968, 611, 738, 892, 1281, 711, 1611, 789, 1502, 525, 519, 5539, 547, 4235, 16155, 269, 1703, 616, 1082, 2924, 538, 519, 2136, 2276, 602, 723, 513, 1164, 2085, 540, 22612, 16310, 1175, 10438, 4568, 269, 968, 288, 1268, 3267, 3267, 1647, 540, 1957, 3267, 3267, 1729, 6023, 4568, 269, 634, 1448, 540, 519, 4540, 1876, 568, 547, 8488, 896, 720, 6704, 607, 1279, 607, 2009, 543, 267, 1256, 952, 946, 5956, 267, 547, 2569, 922, 2834, 640, 543, 2179, 607, 1454, 607, 2009, 269, 1717, 4657, 621, 1394, 547, 476, 1240, 814, 519, 1761, 547, 2800, 513, 1804, 1297, 540, 1004, 269, 0, 763, 9998, 17417, 538, 1715, 3840, 941, 3943, 21152, 543, 20908, 3726, 28773, 945, 8452, 5045, 1189, 689, 17260, 693, 27292, 585, 4123, 543, 18340, 569, 339, 1944, 269, 1715, 3840, 1185, 1044, 20948, 676, 11031, 540, 1325, 12455, 638, 1014, 543, 594, 549, 31309, 1014, 18702, 7111, 4892, 585, 1896, 4627, 1296, 676, 519, 942, 10656, 13896, 6410, 883, 519, 3148, 538, 519, 2038, 476, 1704, 628, 2540, 269, 769, 476, 8182, 280, 267, 519, 3148, 729, 1101, 10645, 676, 8361, 23747, 585, 519, 10656, 267, 945, 3710, 10783, 715, 817, 879, 538, 476, 14065, 275, 693, 519, 1476, 26475, 540, 519, 23747, 543, 15011, 1177, 330, 8933, 267, 1141, 519, 1459, 6377, 3854, 540, 19186, 1415, 2663, 2919, 269, 634, 10656, 4166, 849, 12306, 1715, 24545, 543, 2694, 540, 519, 23747, 9503, 267, 9591, 519, 12733, 540, 1715, 13291, 1633, 267, 513, 18371, 2146, 689, 922, 9998, 2395, 543, 513, 4099, 540, 4123, 543, 11776, 269, 634, 3703, 24509, 539, 519, 12733, 689, 519, 10656, 538, 476, 14917, 275, 269, 634, 10665, 540, 519, 3703, 12733, 267, 519, 19435, 540, 1715, 3840, 267, 941, 2147, 547, 1346, 540, 519, 1459, 6377, 1533, 563, 303, 6974, 532, 476, 1428, 27824, 1299, 6196, 17421, 779, 540, 1715, 3840, 1923, 631, 9298, 10022, 3487, 476, 274, 454, 272, 258, 31881, 832, 5652, 1849, 23124, 267, 476, 4350, 272, 269, 1715, 838, 2231, 575, 548, 600, 269, 5211, 6808, 267, 533, 4536, 267, 5836, 561, 10719, 538, 17277, 563, 273, 258, 8648, 12384, 519, 11596, 676, 1554, 267, 538, 1715, 3840, 4975, 269, 634, 8648, 8490, 267, 10753, 1168, 781, 20989, 267, 23392, 8330, 528, 267, 717, 2967, 1214, 20989, 543, 824, 21056, 616, 12286, 538, 713, 5130, 267, 476, 4350, 279, 8666, 563, 274, 258, 27201, 32215, 267, 476, 4350, 272, 269, 9540, 4336, 10053, 1858, 1063, 13123, 593, 24607, 2427, 1631, 513, 966, 4068, 7101, 773, 2224, 269, 12876, 18876, 563, 275, 258, 19803, 4011, 334, 15167, 896, 4070, 267, 593, 4864, 476, 279, 267, 476, 5002, 278, 454, 276, 258, 623, 833, 543, 8361, 267, 13722, 5101, 17121, 267, 609, 24607, 15167, 543, 513, 7504, 454, 277, 258, 9823, 268, 275, 3683, 11068, 26165, 267, 476, 4350, 280, 269, 32431, 779, 11545, 5240, 8490, 2539, 1318, 563, 278, 258, 589, 2070, 689, 519, 13879, 7921, 15167, 267, 3168, 7178, 267, 6029, 7249, 6479, 6808, 538, 24607, 267, 593, 5130, 476, 3066, 267, 476, 4572, 274, 563, 279, 258, 476, 1704, 268, 272, 5101, 543, 476, 272, 4639, 476, 3374, 628, 9335, 267, 5087, 2427, 267, 689, 7178, 540, 23885, 22971, 547, 543, 1519, 25004, 269, 476, 4489, 277, 563, 280, 258, 22337, 660, 1144, 6607, 1467, 609, 590, 5424, 8490, 1421, 476, 4489, 271, 269, 2622, 779, 32399, 563, 1015, 258, 589, 2138, 768, 534, 13333, 513, 512, 1503, 2917, 6517, 2282, 13879, 7921, 15167, 267, 593, 5181, 476, 1839, 267, 476, 4572, 275, 269, 20050, 14441, 30646, 267, 4411, 14319, 267, 28401, 267, 543, 23041, 32432, 563, 1556, 258, 16340, 3118, 267, 476, 6245, 275, 454, 1321, 258, 9605, 4425, 1846, 4339, 513, 1025, 10270, 693, 24553, 7412, 623, 1512, 476, 6872, 267, 4639, 476, 1428, 628, 853, 267, 2282, 519, 2817, 645, 4593, 3726, 3213, 269, 2679, 563, 1724, 258, 1715, 3840, 9605, 4972, 17431, 540, 513, 9252, 533, 32658, 10736, 689, 7504, 1673, 22148, 547, 5179, 12454, 267, 693, 476, 1321, 628, 22971, 543, 476, 6321, 628, 9335, 563, 1691, 258, 9605, 4425, 1846, 4339, 513, 1025, 10270, 693, 24553, 7412, 623, 1512, 476, 6872, 267, 4639, 476, 1428, 628, 853, 267, 2282, 519, 2817, 645, 4593, 3726, 3213, 269, 2679, 563, 1428, 258, 634, 12059, 22971, 11506, 5721, 678, 3518, 956, 2066, 2539, 24607, 538, 713, 3768, 730, 8666, 269, 4975, 8065, 666, 581, 2938, 538, 519, 4282, 454, 24874, 11473, 14272, 720, 324, 540, 1715, 344, 1251, 454, 24874, 645, 904, 728, 267, 1715, 3840, 454, 314, 344, 19834, 4463, 284, 892, 4335, 16357, 8700, 284, 892, 8517, 16357, 316, 10059, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 300, 24449, 24979, 341, 298, 12011, 327, 275, 22535, 344, 19834, 2639, 7069, 6196, 1715, 3840, 1107, 8648, 12384, 540, 519, 17623, 476, 3192, 271, 338, 454, 314, 344, 19834, 4463, 284, 892, 4335, 16357, 8700, 284, 892, 8517, 16357, 316, 10059, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 336, 11675, 326, 4211, 325, 1789, 289, 304, 22535, 344, 19834, 2639, 763, 25860, 540, 23068, 941, 6896, 538, 1715, 3840, 4975, 1282, 519, 476, 12293, 271, 338, 267, 7361, 538, 3210, 547, 519, 26568, 853, 2086, 2920, 5293, 676, 519, 3703, 12057, 538, 476, 12293, 276, 269, 634, 853, 2086, 2920, 6837, 1558, 538, 519, 2749, 593, 5239, 476, 866, 540, 602, 1032, 267, 7768, 540, 13222, 689, 2066, 519, 774, 597, 10117, 16690, 625, 945, 1305, 519, 3942, 585, 519, 25550, 6837, 547, 1246, 269, 634, 853, 2086, 2920, 6837, 8507, 538, 519, 16672, 540, 7126, 543, 717, 4471, 341, 1734, 267, 799, 729, 519, 1101, 2854, 4082, 676, 13222, 540, 519, 4892, 540, 1082, 540, 519, 2924, 543, 20286, 2663, 6829, 538, 519, 2136, 2276, 16672, 540, 14412, 269, 901, 3769, 519, 1318, 547, 11347, 2229, 269, 2311, 519, 1482, 942, 267, 609, 2178, 9467, 1063, 6628, 543, 519, 2136, 2276, 593, 1312, 1870, 543, 2123, 2157, 1082, 1715, 3840, 7264, 941, 700, 5819, 1235, 269, 634, 12650, 675, 540, 10783, 570, 545, 16093, 7541, 3177, 519, 666, 12061, 543, 7784, 335, 32535, 2556, 547, 3196, 513, 3703, 15639, 689, 519, 27119, 613, 540, 11785, 538, 476, 10082, 276, 563, 6124, 3840, 729, 519, 1152, 12733, 547, 711, 8917, 585, 7115, 267, 607, 519, 30896, 941, 711, 17101, 547, 798, 865, 269, 1715, 3840, 1287, 31045, 519, 16672, 540, 14412, 593, 5147, 476, 280, 267, 476, 10082, 277, 7868, 1715, 3840, 3557, 9139, 729, 29600, 676, 513, 15007, 799, 19632, 693, 6519, 26111, 593, 5147, 476, 1015, 267, 476, 10082, 277, 267, 543, 1310, 7368, 7755, 712, 333, 906, 543, 2242, 540, 4087, 267, 2165, 3990, 922, 2978, 832, 693, 3751, 8725, 593, 10732, 10543, 267, 4989, 476, 736, 267, 476, 10082, 278, 267, 950, 519, 1007, 11156, 31751, 676, 3627, 20289, 729, 7550, 609, 855, 835, 29926, 532, 8917, 269, 898, 729, 711, 11643, 547, 519, 1004, 585, 3731, 2305, 269, 2201, 5147, 476, 1789, 267, 476, 10082, 278, 267, 6723, 22735, 729, 22305, 13894, 607, 519, 1101, 17135, 540, 1715, 3840, 693, 3751, 8725, 563, 2252, 596, 899, 713, 2022, 267, 3973, 5225, 267, 2671, 621, 538, 1114, 1514, 2923, 269, 6435, 938, 3135, 547, 3262, 856, 563, 314, 323, 1204, 518, 20801, 26748, 284, 892, 12988, 1677, 5440, 892, 316, 0, 288, 30413, 568, 2356, 513, 1360, 6899, 6293, 267, 855, 621, 568, 711, 606, 782, 2987, 14633, 269, 589, 30413, 2115, 547, 581, 22934, 538, 513, 2016, 5569, 4259, 269, 634, 1297, 540, 12673, 593, 513, 30413, 5673, 593, 519, 10672, 779, 1374, 269, 589, 30413, 814, 513, 1305, 540, 476, 1724, 12673, 609, 1142, 5569, 7893, 476, 274, 269, 276, 6279, 1279, 267, 1818, 519, 6293, 476, 1691, 6279, 1279, 269, 634, 10672, 540, 513, 30413, 666, 849, 14574, 519, 5569, 4259, 563, 288, 30413, 666, 723, 922, 12673, 7745, 610, 30465, 855, 621, 2115, 547, 581, 538, 19820, 693, 519, 942, 540, 8840, 610, 1065, 9653, 269, 2368, 9755, 723, 2919, 7463, 2645, 547, 798, 713, 7816, 543, 666, 2356, 581, 1336, 538, 513, 30413, 4558, 563, 763, 1655, 5796, 693, 782, 2053, 568, 547, 1451, 547, 19820, 543, 1404, 707, 30413, 538, 922, 1699, 4259, 267, 6382, 621, 1152, 9292, 1206, 707, 10772, 952, 596, 616, 1932, 2269, 1456, 873, 2336, 1692, 798, 596, 1451, 547, 1404, 286, 634, 1655, 1259, 547, 1451, 547, 1404, 568, 547, 6432, 543, 2259, 269, 1403, 596, 616, 711, 1360, 1434, 693, 6947, 267, 946, 513, 4116, 945, 666, 269, 4495, 596, 723, 4121, 2614, 547, 1404, 519, 30413, 267, 1287, 596, 666, 1175, 2119, 835, 610, 1079, 10253, 543, 1294, 952, 621, 2337, 269, 5213, 1406, 1404, 1932, 1082, 10253, 952, 596, 723, 711, 27058, 873, 1101, 2336, 1607, 1505, 3085, 1406, 960, 593, 782, 5569, 539, 7405, 865, 946, 621, 585, 513, 1114, 5569, 539, 6293, 693, 513, 942, 269, 5213, 1406, 6432, 9420, 569, 1247, 1565, 707, 13176, 4245, 269, 2422, 513, 1434, 4116, 602, 11414, 596, 547, 6432, 5402, 563, 1692, 798, 594, 1205, 513, 1434, 30413, 888, 2252, 596, 723, 1500, 2828, 610, 4862, 540, 4896, 945, 814, 1500, 2828, 609, 513, 30413, 8227, 602, 1223, 948, 596, 6430, 593, 513, 1434, 835, 267, 1491, 873, 547, 519, 4558, 269, 1879, 789, 1491, 519, 7405, 267, 2307, 873, 827, 519, 1871, 538, 2474, 540, 2575, 543, 2773, 563, 2467, 616, 1082, 3549, 602, 6133, 1007, 13447, 543, 13447, 13355, 30413, 7405, 2228, 269, 634, 5777, 1058, 581, 2539, 982, 1018, 666, 581, 1336, 538, 513, 13447, 10689, 538, 930, 2665, 269, 3509, 540, 873, 616, 1134, 9280, 609, 5140, 2298, 543, 1164, 2298, 30413, 12673, 543, 3514, 14005, 269, 1717, 267, 789, 949, 581, 7508, 1978, 12673, 602, 949, 723, 5634, 610, 2101, 2042, 267, 865, 621, 568, 2141, 1271, 547, 2638, 609, 519, 30413, 8227, 827, 519, 2783, 540, 519, 12673, 543, 17960, 563, 5278, 30413, 15945, 786, 6133, 596, 513, 2582, 6293, 855, 789, 786, 711, 581, 2111, 547, 7816, 16523, 269, 1677, 2119, 547, 4368, 621, 3054, 267, 4444, 513, 7816, 6539, 865, 596, 666, 4444, 1114, 2010, 540, 12673, 610, 3514, 14005, 543, 1451, 519, 2953, 25122, 593, 1142, 835, 269, 1452, 666, 581, 513, 1434, 5092, 563, 5629, 596, 723, 4121, 519, 25122, 267, 596, 454, 6011, 547, 1451, 30413, 693, 1753, 585, 1863, 267, 1451, 30413, 19444, 3992, 1079, 7221, 267, 875, 547, 1451, 30413, 2575, 538, 22007, 30253, 267, 1655, 8924, 547, 1451, 14440, 585, 3214, 267, 1451, 30413, 585, 4079, 0, 28308, 5498, 320, 24991, 10352, 593, 536, 5460, 545, 21426, 543, 25094, 3188, 593, 519, 1286, 322, 13293, 540, 2627, 2000, 1516, 2831, 269, 23225, 2090, 723, 9619, 519, 3448, 2956, 540, 1142, 512, 13116, 13374, 269, 10765, 12319, 540, 954, 11546, 322, 611, 531, 15088, 538, 5672, 709, 5090, 24186, 538, 519, 705, 903, 15680, 7414, 267, 1644, 547, 4657, 1426, 7727, 267, 26558, 839, 519, 991, 585, 1344, 269, 1284, 5342, 7181, 1543, 543, 7123, 24236, 9382, 540, 1079, 705, 903, 15680, 5672, 709, 337, 1749, 267, 1286, 337, 542, 2959, 267, 543, 536, 5460, 545, 10352, 267, 6394, 21276, 569, 693, 476, 25148, 271, 544, 1055, 4993, 269, 8293, 573, 543, 24991, 941, 519, 1034, 7928, 10352, 585, 595, 800, 6495, 31734, 525, 818, 3901, 639, 267, 609, 1507, 12933, 30702, 3875, 538, 519, 2732, 540, 1507, 15013, 269, 634, 2732, 540, 595, 800, 6495, 31734, 525, 586, 320, 638, 2088, 324, 3769, 811, 536, 5460, 545, 10352, 971, 607, 12933, 30702, 267, 4874, 15939, 26347, 267, 543, 519, 2868, 1054, 1755, 573, 5019, 1678, 344, 571, 536, 787, 577, 807, 269, 29336, 542, 729, 1459, 538, 1312, 2249, 543, 621, 729, 476, 7597, 260, 540, 519, 2527, 540, 1426, 540, 1804, 595, 269, 818, 3901, 639, 269, 29336, 542, 24818, 382, 373, 22397, 369, 301, 2418, 941, 13380, 547, 1346, 538, 705, 903, 15680 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 25214, 267, 9930, 19631, 11031, 543, 2749, 32145, 11478, 1934, 1279, 1354, 6082, 4646, 269, 1717, 267, 1472, 476, 1220, 1296, 3516, 267, 3864, 7060, 3323, 3935, 1944, 630, 339, 1136, 1852, 264, 1804, 13980, 540, 519, 5664, 5101, 1310, 519, 2887, 540, 519, 16368, 7276, 269, 901, 3366, 547, 1713, 2242, 538, 2797, 3889, 543, 10665, 269, 16828, 267, 6259, 18541, 9782, 1282, 519, 2038, 476, 736, 628, 2540, 950, 1004, 4941, 7115, 689, 4914, 4341, 543, 9322, 1851, 29240, 1759, 593, 741, 3838, 2528, 267, 3961, 267, 543, 1893, 780, 3719, 7227, 282, 3884, 1405, 621, 4101, 547, 3142, 865, 1082, 1114, 2516, 896, 835, 8122, 286, 8786, 267, 8197, 256, 5994, 2348, 513, 2462, 1920, 22653, 542, 1141, 3025, 814, 3982, 14789, 543, 7375, 269, 6884, 972, 1522, 581, 22195, 267, 1318, 286, 6684, 267, 8108, 513, 2582, 4182, 3340, 4466, 2081, 547, 13918, 3604, 1247, 10771, 10486, 269, 1280, 3236, 267, 4352, 12925, 5161, 540, 6129, 14269, 12356, 267, 26757, 924, 12356, 267, 27956, 1091, 267, 12395, 5443, 267, 28435, 20379, 267, 962, 1794, 573, 529, 267, 543, 824, 6803, 543, 3909, 2950, 267, 789, 1869, 2671, 930, 3344, 540, 12925, 328, 6561, 780, 4913, 267, 1256, 1498, 1004, 949, 2697, 2933, 607, 851, 540, 513, 3677, 1895, 267, 7526, 8451, 1813, 547, 12721, 4690, 610, 6811, 936, 2200, 1765, 3697, 1216, 267, 3282, 267, 610, 2244, 269, 4826, 20317, 568, 3226, 4143, 538, 519, 5664, 5101, 2094, 1152, 513, 1906, 8933, 2095, 998, 519, 6382, 3819, 5251, 269, 7457, 547, 891, 5757, 1949, 5540, 6694, 2853, 267, 3056, 3006, 547, 13253, 1063, 15231, 2477, 780, 4131, 781, 1491, 513, 6251, 1413, 693, 1079, 1271, 2665, 281, 5527, 543, 12925, 269, 9147, 12977, 4278, 1882, 2059, 519, 8492, 540, 519, 5211, 20407, 538, 5527, 267, 1818, 621, 2629, 585, 8105, 267, 6283, 267, 543, 2686, 1646, 269, 4653, 267, 21072, 3136, 547, 10027, 880, 741, 6125, 609, 519, 20407, 267, 5103, 2591, 1644, 547, 2551, 2208, 543, 5533, 269, 2201, 519, 824, 1688, 267, 12925, 8188, 1950, 2152, 4478, 519, 2359, 540, 1216, 2200, 23608, 689, 519, 570, 580, 5142, 543, 661, 25045, 6233, 23117, 269, 1452, 8933, 2196, 998, 2789, 2477, 1354, 8757, 12925, 267, 4929, 1761, 13882, 3823, 6165, 2924, 780, 1103, 3932, 267, 1620, 7073, 2817, 1143, 543, 3557, 19725, 3322, 6313, 3140, 2621, 267, 1514, 9163, 267, 2067, 2200, 267, 543, 10923, 2934, 269, 1306, 649, 5490, 4514, 883, 519, 4241, 1650, 540, 519, 5664, 5101, 267, 3314, 602, 1169, 2197, 11438, 922, 2189, 11100, 540, 4763, 267, 9322, 267, 9316, 267, 543, 4655, 6571, 2994, 269, 1924, 1985, 942, 596, 5873, 3377, 827, 519, 3148, 267, 2119, 8220, 621, 547, 1018, 596, 4121, 1934, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4462, 6674, 1907, 6830, 333, 924, 454, 763, 18295, 1612, 778, 583, 626, 543, 8176, 16340, 19213, 14612, 782, 936, 519, 2197, 609, 519, 3627, 5500, 808, 269, 1284, 1360, 15069, 1611, 21694, 6513, 543, 7025, 10466, 269, 634, 5664, 5101, 3622, 814, 513, 3905, 267, 25545, 2916, 267, 2832, 15318, 1896, 2101, 8933, 3246, 12555, 547, 1489, 6683, 538, 3908, 2127, 971, 607, 519, 20407, 18647, 538, 5527, 267, 519, 570, 580, 5142, 543, 661, 25045, 6233, 7297, 515, 1091, 540, 27859, 12925, 267, 918, 17703, 7159, 267, 543, 9456, 16850, 267, 543, 1034, 540, 1018, 568, 1634, 607, 519, 674, 1068, 850, 595, 29266, 269, 2372, 1774, 281, 4831, 10880, 9594, 15318, 32373, 539, 1863, 4693, 17397, 676, 524, 1127, 19213, 4746, 538, 27292, 693, 2547, 267, 1978, 28963, 723, 519, 3039, 1769, 1166, 4770, 269, 6182, 785, 26709, 267, 513, 4496, 6512, 6131, 547, 968, 5353, 8882, 15505, 267, 9232, 13847, 741, 1101, 21768, 593, 8734, 269, 7490, 2322, 966, 291, 1112, 779, 20446, 12341, 593, 707, 3135, 609, 513, 3095, 1394, 547, 642, 18743, 269, 5616, 15020, 5595, 7148, 4950, 4609, 602, 2097, 827, 547, 1831, 2143, 9944, 267, 689, 938, 1448, 540, 2070, 616, 17216, 5265, 4502, 10992, 856, 269, 717, 821, 568, 519, 13398, 1158, 543, 1377, 2824, 267, 1128, 324, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17457, 2817, 1143, 543, 3557, 19725, 257, 607, 851, 540, 834, 19615, 1315, 5664, 5101, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 670, 690, 2006, 599, 26492, 543, 741, 17583, 547, 18903, 8058, 11814, 17156, 692, 296, 269, 4985, 692, 2026, 649, 5490, 4514, 883, 519, 1353, 540, 1884, 2294, 543, 2445, 17156, 267, 621, 568, 1898, 547, 4983, 2686, 16873, 543, 875, 891, 2621, 3337, 519, 3688, 1004, 10027, 880, 543, 1780, 1524, 998, 5481, 269, 2290, 971, 11812, 568, 670, 690, 2006, 599, 267, 10430, 781, 30018, 1259, 540, 30366, 538, 519, 1007, 1032, 269, 901, 3184, 786, 2263, 1585, 3344, 540, 670, 690, 2006, 599, 543, 2721, 4296, 1063, 922, 9821, 543, 9059, 1397, 2445, 17156, 780, 2862, 269, 8466, 17461, 540, 670, 690, 2006, 599, 692, 288, 269, 17959, 693, 30557, 853, 2158, 454, 763, 3504, 8129, 540, 670, 690, 2006, 599, 666, 581, 14360, 1394, 547, 19771, 693, 7555, 10007, 1141, 5171, 1131, 4235, 547, 8956, 21549, 6068, 3283, 269, 2755, 972, 616, 1100, 1463, 6402, 1063, 891, 2038, 2853, 543, 2413, 9059, 2982, 267, 519, 25386, 2470, 540, 971, 12738, 1281, 18427, 513, 2631, 540, 4898, 618, 1419, 2404, 609, 9589, 12644, 780, 289, 269, 21846, 547, 7991, 9919, 30503, 1674, 454, 1103, 942, 267, 670, 690, 2006, 599, 7960, 883, 513, 3677, 18497, 2680, 10704, 1472, 8498, 610, 4884, 2344, 22613, 1282, 834, 301, 3326, 320, 580, 2142, 698, 2437, 610, 9741, 8285, 269, 1306, 2950, 10356, 1927, 267, 4687, 2984, 543, 5789, 337, 2939, 267, 19320, 666, 581, 6537, 1063, 891, 1514, 4205, 543, 4207, 5304, 7589, 538, 2661, 9059, 2982, 269, 5637, 2833, 6536, 23274, 543, 1711, 9434, 8823, 780, 7656, 269, 4675, 1833, 676, 519, 5783, 543, 12358, 652, 1709, 540, 670, 690, 2006, 599, 26492, 692, 2691, 519, 5783, 13986, 547, 16401, 670, 690, 2006, 599, 16873, 538, 519, 476, 5611, 271, 338, 267, 1082, 5389, 17146, 689, 1857, 5624, 547, 4357, 5321, 269, 7324, 891, 14624, 729, 519, 2259, 540, 834, 5575, 14272, 532, 1701, 24167, 713, 2245, 2488, 5813, 883, 519, 4644, 540, 1978, 3615, 543, 6698, 4122, 1336, 1369, 9059, 1397, 8357, 8494, 807, 780, 288, 269, 3689, 14272, 532, 31654, 1682, 454, 26796, 519, 8482, 540, 28813, 267, 3885, 20888, 519, 1101, 21233, 1765, 2181, 2536, 2406, 513, 7381, 267, 4158, 3620, 8529, 812, 1765, 15367, 4547, 2059, 12572, 13344, 899, 1688, 1088, 630, 10517, 6974, 532, 13884, 1070, 1426, 630, 1721, 32351, 1070, 22090, 4486, 630, 1721, 1434, 17869, 1070, 543, 513, 26686, 540, 5755, 630, 338, 793, 4328, 4797, 14246, 2429, 519, 14232, 1032, 1040, 1452, 2609, 16079, 5432, 4798, 2938, 538, 9059, 1397, 2445, 17156, 267, 1519, 11606, 267, 9939, 267, 5996, 20190, 640, 267, 543, 7004, 780, 289, 269, 3474, 4150, 3149, 9737, 3689, 14272, 532, 543, 7395, 673, 13437, 454, 10702, 2079, 8761, 10578, 10486, 1063, 3689, 14272, 532, 9821, 543, 2757, 9059, 1397, 6411, 1384, 272, 269, 4165, 4602, 566, 281, 3807, 607, 1920, 2818, 23362, 19179, 1243, 519, 12625, 540, 519, 1101, 3723, 518, 267, 9458, 1413, 4464, 547, 26164, 11963, 321, 4193, 2192, 16272, 11200, 1354, 741, 4064, 563, 273, 269, 5080, 21215, 281, 13518, 899, 519, 10508, 4810, 950, 8391, 6397, 13344, 1282, 3689, 14272, 532, 267, 4715, 2209, 882, 880, 1346, 834, 332, 698, 673, 8090, 257, 950, 9583, 7543, 905, 1846, 2049, 593, 3942, 563, 274, 269, 29526, 281, 27014, 22121, 1282, 3689, 14272, 532, 4163, 7096, 10096, 282, 13974, 267, 605, 1186, 1031, 538, 9059, 2982, 1419, 3180, 5728, 4644, 602, 8309, 547, 519, 2949, 1764, 540, 519, 2773, 563, 275, 269, 681, 3770, 2065, 15689, 281, 3245, 5402, 9709, 13467, 547, 1808, 8654, 10291, 267, 9059, 2982, 6451, 9161, 2065, 3334, 2966, 547, 4463, 523, 24457, 543, 3986, 9423, 269, 19452, 267, 670, 690, 2006, 599, 9821, 4125, 3964, 5773, 5921, 547, 2327, 1434, 19539, 543, 8171, 538, 519, 1007, 1032, 780, 4353, 269, 7073, 11154, 725, 543, 8033, 6672, 540, 670, 690, 2006, 599, 13756, 692, 4407, 930, 3140, 670, 690, 2006, 599, 5389, 949, 723, 535, 12184, 2476, 267, 1866, 6414, 1256, 2221, 269, 1280, 3236, 267, 519, 2899, 2442, 2688, 540, 2367, 21098, 532, 2021, 11402, 538, 519, 10754, 814, 1044, 8719, 676, 811, 552, 6549, 9107, 26250, 902, 267, 10452, 4657, 6848, 8155, 543, 2418, 269, 11048, 267, 519, 9759, 540, 670, 690, 2006, 599, 2729, 593, 267, 5356, 3407, 4030, 883, 1480, 2528, 267, 1686, 267, 543, 938, 22906, 609, 9814, 543, 17134, 656, 618, 780, 309, 269, 10390, 692, 3528, 3695, 519, 3638, 13795, 540, 670, 690, 2006, 599, 5389, 543, 8220, 873, 547, 9059, 1397, 2445, 17156, 267, 649, 2744, 513, 3152, 7071, 585, 1312, 13677, 6561, 543, 519, 8471, 27559, 540, 21903, 269, 3414, 6297, 6514, 540, 891, 954, 342, 8576, 16060, 267, 2104, 5640, 1522, 10625, 3606, 4241, 3347, 6456, 9944, 519, 2627, 267, 17766, 1769, 593, 6626, 2055, 7282, 1480, 2623, 267, 3965, 267, 543, 1570, 2528, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 257, 7246, 21397, 595, 5085, 12087, 19154, 8104, 257, 1299, 10790, 21397, 595, 5085, 12087, 21832, 306, 8121, 6224, 25893, 454, 31388, 5412, 476, 4029, 560, 910, 670, 4338, 303, 312, 670, 8104, 7246, 2793, 312, 9215, 20231, 744, 7838, 590, 4596, 307, 2316, 17239, 674, 6020, 2894, 9169, 8206, 10371, 1862, 6730, 670, 4338, 303, 312, 21832, 962, 292, 2752, 9215, 21450, 6730, 20231, 8206, 2336, 295, 690, 2006, 599, 568, 519, 2012, 585, 1715, 5729, 781, 18832, 538, 10430, 267, 543, 568, 835, 540, 519, 7887, 6105, 538, 519, 1158, 269, 20323, 621, 729, 513, 11018, 693, 7555, 10007, 547, 4235, 547, 8977, 539, 14326, 267, 855, 2968, 513, 1804, 11812, 1472, 8498, 610, 4884, 2344, 22613, 267, 1634, 607, 1412, 301, 3326, 320, 580, 2142, 698, 262, 630, 28012, 8285, 1040, 769, 519, 476, 5611, 271, 338, 267, 519, 5783, 6836, 6836, 547, 7333, 621, 267, 799, 1500, 621, 1847, 689, 519, 2146, 883, 519, 1753, 269, 3509, 670, 690, 2006, 599, 5389, 723, 8854, 267, 855, 835, 602, 5170, 547, 713, 1554, 568, 3689, 14272, 532, 269, 2991, 28813, 267, 519, 1101, 1268, 547, 3444, 707, 7450, 3118, 1058, 581, 513, 4158, 688, 1600, 812, 8876, 1688, 1088, 267, 610, 13344, 540, 1426, 267, 22090, 4486, 267, 543, 513, 4062, 540, 5755, 630, 1729, 24901, 519, 14246, 540, 519, 5873, 628, 585, 519, 4947, 1032, 1040, 1323, 2025, 2688, 267, 5645, 593, 2221, 607, 513, 1715, 5729, 781, 918, 1170, 267, 729, 585, 513, 5256, 547, 21098, 1022, 4775, 789, 1558, 538, 519, 8265, 269, 634, 4583, 1884, 1335, 540, 28813, 593, 1715, 14717, 320, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 4888, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 23527, 1299, 21771, 1315, 27400, 8551, 1315, 18903, 8058, 11814, 17156, 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, 4762, 26555, 543, 4256, 8177, 593, 4658, 781, 22032, 692, 8893, 281, 634, 23063, 6672, 9737, 5375, 22749, 267, 9459, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1234, 4532, 28271, 2372, 3949, 538, 19565, 11470, 281, 589, 12213, 667, 633, 883, 17496, 776, 1299, 5450, 7469, 9713, 21771, 692, 1103, 713, 3184, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 556, 4532, 28271, 1391, 338, 1369, 11174, 5708, 267, 4481, 896, 519, 5075, 776, 543, 21042, 9713, 9135, 269, 1635, 3695, 1585, 5339, 1568, 602, 6451, 971, 4798, 267, 649, 2832, 547, 1683, 596, 609, 513, 9488, 1620, 540, 875, 891, 2984, 666, 1764, 1762, 3988, 262, 5380, 593, 1272, 267, 2669, 267, 543, 5289, 2208, 269, 3958, 267, 649, 786, 4983, 519, 1909, 540, 4589, 538, 13167, 6386, 10704, 1472, 556, 4532, 28271, 543, 2263, 4296, 1063, 891, 4798, 543, 4207, 6848, 2152, 780, 296, 269, 4985, 547, 1234, 4532, 28271, 2372, 3949, 538, 19565, 11470, 454, 288, 269, 9502, 543, 7778, 540, 556, 4532, 28271, 1391, 338, 454, 289, 269, 16684, 7650, 540, 741, 4644, 538, 3332, 454, 290, 269, 17583, 1063, 556, 4532, 28271, 1391, 338, 543, 5075, 776, 1299, 21042, 9713, 4798, 692, 2862, 269, 8466, 12745, 543, 4886, 540, 1234, 4532, 28271, 27801, 338, 454, 288, 269, 9147, 12977, 262, 4978, 827, 556, 4532, 28271, 454, 272, 269, 12266, 13299, 454, 273, 269, 18420, 543, 13221, 454, 274, 269, 5259, 6138, 454, 289, 269, 21478, 540, 3909, 543, 10952, 2093, 593, 3332, 454, 290, 269, 12472, 540, 556, 4532, 28271, 4978, 2429, 1686, 692, 7656, 269, 16723, 31834, 540, 1234, 4532, 28271, 2372, 3949, 538, 9085, 454, 288, 269, 1215, 556, 4532, 28271, 4798, 2232, 16650, 2055, 454, 289, 269, 8177, 540, 556, 4532, 28271, 6386, 593, 15730, 5626, 1646, 454, 290, 269, 8865, 1353, 281, 5811, 540, 17214, 548, 710, 700, 262, 8777, 548, 781, 834, 288, 27997, 569, 570, 559, 1154, 14136, 257, 543, 922, 3310, 593, 1582, 268, 1211, 640, 5250, 692, 4353, 269, 5081, 32241, 19043, 540, 1234, 4532, 28271, 2372, 3949, 538, 12634, 5980, 454, 288, 269, 18601, 4763, 998, 556, 4532, 28271, 6386, 454, 289, 269, 10289, 2686, 3604, 543, 10486, 3842, 556, 4532, 28271, 4978, 454, 290, 269, 22410, 540, 2487, 8874, 267, 7641, 2982, 267, 543, 2835, 10023, 556, 4532, 28271, 4798, 692, 309, 269, 9752, 11150, 543, 11242, 585, 12056, 4841, 609, 1234, 4532, 28271, 2372, 652, 15881, 2510, 454, 288, 269, 19171, 2542, 5751, 5059, 593, 1915, 1646, 2066, 3076, 564, 1307, 454, 289, 269, 11300, 1603, 10467, 6220, 556, 4532, 28271, 4798, 454, 290, 269, 6828, 5717, 543, 9840, 4478, 556, 4532, 28271, 4978, 543, 741, 6286, 454, 291, 269, 3955, 13694, 4296, 547, 824, 5396, 899, 6530, 267, 15257, 267, 543, 4984, 692, 9654, 269, 24021, 12367, 543, 8892, 19648, 538, 1234, 4532, 28271, 2372, 3949, 1369, 19565, 11470, 454, 288, 269, 14044, 4641, 543, 15138, 9423, 2553, 454, 289, 269, 16949, 540, 23798, 1382, 538, 556, 4532, 28271, 6386, 454, 290, 269, 5890, 21505, 6041, 538, 556, 4532, 28271, 1391, 338, 3564, 1480, 3197, 692, 9961, 713, 3184, 267, 649, 5000, 2565, 3206, 543, 8086, 593, 519, 1379, 540, 556, 4532, 28271, 1391, 338, 538, 5935, 1762, 8186, 543, 5807, 6568, 2509, 3309, 4529, 543, 3661, 1949, 269, 11086, 267, 938, 3804, 568, 547, 16491, 7855, 609, 519, 2556, 2645, 543, 1702, 547, 3927, 4497, 1053, 538, 6209, 7391, 827, 1272, 267, 2669, 267, 543, 5289, 2208, 998, 519, 7828, 540, 5075, 776, 543, 21042, 9713, 11174, 5708, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 3979, 1977, 5708, 454, 268, 20010, 1686, 454, 268, 5753, 779, 2835, 454, 268, 28527, 540, 2085, 454, 268, 8836, 1299, 6803, 4798, 454, 268, 674, 8543, 8941, 454, 268, 18753, 9089, 1299, 14676, 454, 268, 9966, 528, 1299, 18792, 454, 268, 16520, 10070, 454, 268, 25491, 1299, 19792, 454, 268, 1773, 904, 1299, 24897, 680, 904, 454, 268, 3163, 5708, 454, 268, 21771, 1299, 18305, 454, 268, 28202, 14525, 1299, 24457, 454, 268, 3690, 28698, 1308, 5708, 454, 268, 17496, 776, 1299, 21042, 9713, 454, 268, 6468, 781, 5708, 454, 268, 8479, 2937, 610, 7141, 454, 268, 4165, 2294, 1299, 11814, 17156, 454, 268, 3203, 267, 15339, 267, 22878, 454, 268, 6355, 1299, 13188, 454, 268, 19396, 20929, 454, 268, 5753, 781, 7734, 454, 268, 22383, 630, 12061, 325, 12302, 994, 268, 23675, 1299, 5769, 454, 268, 18181, 267, 5253, 267, 29879, 267, 9454, 1080, 454, 268, 4065, 1299, 5530, 20929, 454, 268, 7177, 267, 23194, 267, 1299, 2029, 454, 268, 4937, 4704, 454, 268, 2657, 267, 8171, 267, 1299, 4915, 454, 268, 5851, 1299, 12567, 454, 268, 5678, 19019, 454, 268, 16520, 9880, 454, 268, 1715, 6520, 454, 268, 15348, 1299, 7351, 16457, 454, 268, 17716, 1299, 7731, 454, 268, 15215, 1299, 20154, 640, 454, 268, 3163, 1299, 7186, 454, 268, 11557, 1299, 17716, 454, 268, 4317, 3163, 454, 268, 11846, 1299, 9205, 18883, 454, 268, 6936, 17235, 454, 268, 8479, 2937, 610, 7141, 454, 21914, 540, 23875, 281, 513, 4158, 681, 295, 8891, 324, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3725, 4532, 28271, 2372, 3949, 257, 607, 851, 540, 834, 16300, 16337, 1315, 17496, 776, 1299, 5450, 7469, 9713, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 476, 273, 269, 274, 634, 5450, 24227, 23990, 454, 28598, 2162, 4985, 692, 1103, 713, 3296, 267, 649, 786, 6338, 835, 540, 519, 1034, 9565, 6620, 538, 2413, 12985, 7194, 543, 6323, 281, 519, 5450, 24227, 5690, 269, 1160, 12723, 676, 22956, 5450, 24227, 543, 1010, 3523, 2209, 538, 741, 25761, 1957, 834, 13420, 566, 540, 3557, 6726, 725, 676, 16258, 17270, 26682, 257, 630, 18404, 24227, 1696, 620, 1421, 476, 4198, 274, 1070, 621, 814, 1044, 688, 6150, 607, 835, 540, 519, 1283, 4557, 6620, 540, 519, 14206, 2540, 630, 290, 760, 571, 267, 476, 1220, 278, 1040, 1284, 786, 1865, 922, 7811, 24598, 25751, 267, 6310, 3601, 267, 3156, 267, 543, 6286, 585, 8579, 3069, 543, 2259, 269, 3776, 1445, 786, 5097, 581, 593, 15768, 15581, 2230, 4460, 990, 11800, 282, 2705, 267, 1082, 540, 891, 2093, 8831, 6923, 547, 6024, 5624, 780, 2162, 17461, 281, 3244, 4327, 14732, 2718, 543, 22757, 30408, 10613, 692, 6524, 18167, 883, 519, 3877, 540, 519, 5450, 24227, 5690, 267, 1577, 721, 13713, 2689, 930, 1898, 2035, 689, 11938, 543, 11191, 12191, 269, 2290, 4909, 1966, 2066, 1585, 3621, 10459, 3322, 10893, 610, 21924, 606, 6662, 1599, 1641, 547, 10148, 269, 901, 1184, 666, 1419, 1831, 1939, 14260, 7199, 950, 7231, 609, 1804, 14449, 610, 1950, 3631, 269, 1323, 4244, 1935, 568, 1138, 6819, 1949, 1510, 12799, 7384, 519, 6662, 3252, 855, 2864, 10451, 5439, 2687, 547, 5551, 14778, 269, 1452, 2409, 2887, 17618, 1369, 519, 7121, 540, 22757, 30408, 2553, 267, 3957, 1310, 519, 4583, 25877, 1634, 585, 13989, 543, 4351, 1145, 780, 3080, 971, 4480, 1644, 547, 938, 4901, 1934, 568, 1572, 20533, 32319, 2718, 267, 6273, 676, 12669, 21395, 1141, 2326, 3579, 1524, 7444, 689, 1164, 5210, 547, 3035, 6099, 12627, 3889, 269, 6684, 267, 20533, 32319, 2718, 6238, 693, 513, 1164, 2837, 630, 328, 4318, 1421, 10892, 1377, 264, 543, 7930, 11081, 621, 936, 942, 267, 3850, 585, 811, 3573, 3408, 540, 519, 3070, 2230, 1354, 23928, 883, 2199, 5688, 320, 269, 4014, 711, 7620, 2919, 585, 10386, 5301, 267, 621, 9788, 519, 24536, 585, 2956, 10386, 2994, 602, 3366, 547, 519, 5137, 540, 519, 5450, 24227, 5690, 780, 2162, 13517, 540, 519, 5450, 24227, 23990, 692, 13706, 513, 13113, 1533, 2230, 590, 815, 2715, 343, 8975, 479, 267, 1535, 8975, 480, 267, 10371, 1421, 1535, 8975, 503, 348, 1439, 15735, 609, 513, 5506, 3892, 12631, 2433, 590, 9890, 1496, 271, 267, 31236, 1040, 634, 3804, 568, 547, 5352, 5439, 5111, 7856, 2687, 547, 12631, 1210, 513, 5078, 4460, 990, 5832, 5912, 17830, 623, 3287, 267, 586, 1040, 13018, 267, 2016, 1022, 4358, 1448, 1535, 8975, 478, 267, 649, 1616, 519, 5311, 540, 2829, 6383, 676, 12055, 8271, 7311, 519, 5912, 17830, 1107, 1775, 4318, 1421, 2473, 8975, 479, 815, 1535, 8975, 478, 267, 2473, 8975, 480, 9625, 623, 11583, 8975, 479, 267, 5788, 1070, 2473, 8975, 481, 9625, 623, 11583, 8975, 480, 267, 5788, 1070, 3092, 2678, 320, 1107, 547, 27721, 547, 519, 19335, 3892, 12631, 607, 3533, 607, 2009, 780, 2414, 2327, 19427, 547, 519, 3077, 3892, 267, 519, 5450, 24227, 5690, 18271, 1079, 2629, 5820, 281, 630, 328, 264, 2143, 3666, 2783, 543, 630, 4512, 264, 21136, 11556, 3892, 1627, 3287, 11971, 6661, 304, 12169, 21726, 1040, 9717, 513, 1699, 1533, 1535, 413, 369, 351, 267, 519, 1985, 1533, 1535, 392, 481, 568, 6069, 1759, 593, 1627, 3287, 413, 369, 351, 267, 1535, 392, 481, 5148, 1287, 267, 10343, 5506, 589, 3287, 413, 369, 351, 267, 1535, 392, 481, 264, 11887, 2436, 547, 3398, 519, 6069, 1847, 269, 1403, 7608, 267, 1305, 1535, 413, 369, 351, 266, 382, 373, 24210, 392, 481, 282, 6382, 267, 3251, 693, 519, 3105, 1533, 1535, 413, 369, 351, 269, 7527, 1227, 267, 713, 5650, 18922, 547, 1384, 343, 392, 481, 1923, 1535, 413, 369, 351, 3980, 376, 1627, 3287, 413, 369, 351, 267, 6440, 994, 288, 3287, 413, 369, 351, 21726, 392, 481, 264, 815, 1295, 346, 272, 267, 11027, 3287, 392, 481, 8358, 314, 11027, 3287, 413, 369, 351, 264, 1422, 265, 1627, 3287, 413, 369, 351, 21726, 392, 481, 13580, 8679, 343, 413, 369, 351, 266, 382, 373, 815, 594, 346, 308, 2999, 589, 3287, 413, 369, 351, 21726, 392, 481, 14587, 1535, 392, 481, 1341, 630, 272, 6567, 594, 346, 308, 2999, 589, 3287, 413, 369, 351, 21726, 392, 481, 14587, 264, 1535, 413, 369, 351, 692, 3602, 772, 5205, 31538, 263, 271, 267, 272, 264, 3892, 10446, 540, 824, 4632, 3238, 538, 519, 5108, 1184, 269, 898, 666, 581, 3254, 602, 519, 4611, 5912, 17830, 25389, 519, 2143, 3666, 3830, 609, 2463, 547, 519, 3077, 3892, 1384, 4501, 495, 18386, 344, 4501, 486, 306, 12631, 12169, 264, 303, 12169, 21726, 264, 815, 3980, 495, 18386, 344, 4501, 486, 306, 12631, 3287, 264, 303, 3287, 11971, 264, 815, 12631, 3287, 264, 3980, 478, 343, 4501, 486, 306, 692, 1607, 7862, 10522, 10941, 2225, 540, 519, 4460, 990, 5832, 609, 2463, 547, 12631, 267, 799, 18715, 22638, 19427, 547, 519, 11466, 3892, 7488, 540, 3355, 2175, 269, 5047, 267, 2094, 1627, 3287, 11971, 6661, 304, 12169, 21726, 1070, 519, 670, 770, 902, 5223, 29776, 547, 6543, 479, 3287, 11971, 6661, 11027, 12169, 8358, 11027, 3287, 1070, 1818, 9273, 1256, 4443, 780, 2162, 16544, 540, 519, 5450, 24227, 23990, 692, 8601, 922, 16134, 267, 519, 5450, 24227, 5690, 19299, 1896, 14909, 2934, 1384, 1262, 296, 337, 516, 3027, 2225, 5093, 32114, 1627, 3287, 11971, 264, 285, 271, 585, 782, 8424, 540, 3982, 2829, 1535, 11971, 267, 519, 13251, 4460, 990, 5832, 568, 9048, 3027, 1043, 267, 2495, 972, 6818, 513, 1875, 14706, 5506, 540, 8757, 1022, 1533, 689, 1022, 824, 1533, 5555, 269, 7054, 516, 3027, 2225, 5849, 23908, 21288, 640, 267, 31552, 602, 519, 5832, 786, 3643, 1169, 15410, 540, 519, 1533, 2230, 28222, 1419, 780, 1262, 288, 704, 1675, 30008, 5093, 1879, 519, 1582, 20675, 819, 17831, 623, 3287, 21726, 264, 3436, 476, 271, 585, 782, 1535, 4501, 486, 306, 267, 519, 13251, 4460, 990, 5832, 3587, 513, 704, 1675, 545, 267, 4180, 12166, 11544, 2053, 2509, 519, 12145, 3892, 780, 1262, 3725, 951, 2225, 5093, 1635, 1374, 267, 519, 5450, 24227, 5690, 7472, 513, 31181, 4460, 990, 5832, 609, 2463, 547, 519, 3077, 5860, 12631, 780, 1262, 3519, 591, 10885, 3928, 5093, 7201, 1978, 10054, 593, 519, 11556, 3892, 1627, 543, 5347, 1145, 2175, 593, 12631, 267, 3844, 3970, 5376, 916, 1683, 4030, 883, 875, 3728, 519, 12170, 25939, 540, 1719, 27721, 547, 741, 2551, 13413, 269, 1717, 267, 8159, 5730, 23451, 3788, 606, 3742, 1858, 540, 1382, 1813, 547, 519, 6988 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 889, 344, 593, 681, 5661, 543, 1215, 621, 932, 6548, 5680, 4886, 454, 305, 889, 344, 593, 681, 5661, 729, 5189, 538, 476, 1220, 275, 547, 1118, 3301, 1646, 5488, 543, 811, 16022, 269, 898, 779, 513, 7746, 20933, 631, 31357, 5943, 1031, 585, 3384, 1357, 8924, 543, 2533, 269, 898, 568, 835, 540, 519, 1034, 2442, 1646, 3435, 267, 1419, 1031, 30430, 609, 519, 25007, 1893, 563, 28606, 17067, 609, 922, 11944, 267, 25007, 593, 681, 5661, 1500, 3301, 1646, 12863, 676, 3850, 519, 9367, 547, 2057, 16625, 4247, 543, 9096, 3785, 593, 942, 269, 898, 729, 1759, 593, 1079, 2101, 3741, 281, 1684, 711, 10956, 3054, 543, 15007, 936, 12122, 269, 0, 1103, 519, 2479, 21608, 5251, 540, 2686, 9259, 267, 835, 2165, 602, 814, 6591, 10373, 8560, 543, 26675, 568, 968, 31807, 20795, 6403, 1848, 7880, 3215, 689, 3638, 3140, 5072, 267, 968, 31807, 20795, 6403, 892, 814, 22734, 1585, 12105, 11775, 267, 5935, 922, 2686, 4644, 543, 18363, 7239, 2066, 519, 8608, 563, 288, 16684, 11137, 540, 968, 31807, 20795, 6403, 7536, 2108, 31807, 20795, 6403, 2223, 513, 2165, 14869, 539, 538, 1686, 267, 814, 10489, 2105, 922, 2757, 8129, 547, 1831, 513, 18388, 5320, 538, 4207, 2528, 269, 3245, 922, 3140, 5072, 547, 922, 2413, 3156, 267, 713, 2376, 12538, 883, 519, 15491, 6106, 540, 968, 31807, 20795, 6403, 3034, 14294, 881, 766, 538, 12634, 12745, 454, 2026, 649, 6330, 519, 10848, 540, 519, 2413, 1158, 267, 1620, 519, 2686, 1764, 540, 968, 31807, 20795, 6403, 892, 3587, 16122, 269, 901, 2376, 6663, 547, 8774, 1769, 593, 519, 9867, 7516, 543, 3156, 540, 713, 28430, 2165, 563, 2862, 269, 17959, 543, 12472, 454, 9199, 1424, 519, 8129, 540, 968, 31807, 20795, 6403, 892, 3217, 721, 593, 513, 3460, 998, 942, 267, 3695, 922, 2686, 543, 10409, 4720, 269, 1133, 30584, 532, 519, 3140, 5072, 2488, 1898, 4030, 883, 922, 2038, 10096, 543, 25664, 725, 563, 763, 4720, 540, 968, 31807, 20795, 6403, 892, 568, 711, 513, 5276, 2239, 855, 513, 6422, 1184, 269, 1635, 6313, 922, 1585, 11775, 267, 649, 666, 20559, 875, 6848, 2242, 543, 2686, 10593, 723, 6766, 519, 2495, 543, 6165, 540, 713, 2165, 563, 7656, 269, 4197, 968, 31807, 20795, 6403, 892, 538, 9177, 454, 2108, 31807, 20795, 6403, 892, 6585, 513, 2189, 1747, 538, 2686, 6386, 267, 29544, 811, 982, 1175, 513, 10409, 4082, 269, 5548, 1324, 883, 922, 2686, 4644, 21048, 2812, 519, 6106, 540, 2495, 7923, 547, 621, 563, 10907, 1484, 1114, 4525, 267, 968, 31807, 20795, 6403, 892, 3217, 593, 3309, 3029, 543, 12496, 269, 4197, 891, 6237, 7648, 8591, 513, 13857, 5133, 547, 938, 3408, 540, 713, 2686, 7613, 563, 4353, 269, 8177, 593, 5980, 454, 763, 3310, 540, 968, 31807, 20795, 6403, 892, 11498, 3564, 10409, 6302, 267, 15449, 908, 1585, 3344, 540, 2486, 269, 24167, 922, 1514, 1764, 2488, 4030, 883, 922, 1909, 538, 5935, 7104, 5615, 563, 4002, 513, 5626, 1377, 267, 519, 1523, 540, 968, 31807, 20795, 6403, 892, 12153, 2189, 6114, 269, 10289, 891, 2360, 3091, 513, 19214, 883, 519, 6946, 2078, 1063, 1893, 267, 2528, 267, 543, 519, 1480, 2247, 563, 309, 269, 968, 25975, 20795, 6403, 892, 538, 15019, 9012, 454, 11847, 19948, 538, 20176, 625, 543, 7641, 454, 5804, 519, 2462, 5496, 547, 8613, 267, 968, 31807, 20795, 6403, 892, 814, 1336, 513, 1747, 538, 2442, 2923, 269, 22718, 922, 6041, 538, 9413, 543, 7641, 21048, 2812, 519, 2081, 538, 799, 621, 814, 1831, 513, 2686, 4704, 1448, 563, 12892, 9012, 12367, 454, 1103, 519, 3059, 2085, 267, 1514, 2923, 4249, 513, 11358, 1909, 538, 5935, 2686, 3466, 269, 968, 31807, 20795, 6403, 892, 814, 1831, 513, 814, 6255, 698, 267, 513, 1509, 324, 267, 543, 513, 7678, 532, 1888, 267, 10452, 922, 16982, 609, 2228, 2950, 563, 9654, 269, 634, 3203, 540, 968, 31807, 20795, 6403, 7536, 9209, 2065, 18129, 1419, 11604, 2686, 9259, 269, 10289, 3860, 7215, 1644, 547, 968, 25975, 20795, 6403, 892, 2488, 513, 17198, 585, 5159, 547, 6655, 13857, 10096, 543, 12496, 563, 12024, 3772, 267, 5159, 616, 711, 4761, 547, 519, 3310, 540, 968, 25975, 20795, 6403, 1848, 901, 3296, 12538, 883, 875, 519, 2165, 814, 6273, 543, 6766, 1585, 1148, 3029, 267, 689, 10367, 547, 3332, 563, 23997, 269, 7073, 10241, 454, 303, 24411, 2422, 27418, 454, 19741, 922, 2686, 543, 7499, 7516, 267, 968, 25975, 20795, 6403, 892, 814, 4052, 3156, 269, 15766, 908, 922, 946, 2665, 538, 1585, 4610, 24259, 1769, 593, 922, 17545, 538, 2413, 8658, 563, 1103, 606, 5736, 540, 6639, 7760, 267, 968, 25975, 20795, 6403, 892, 814, 1336, 922, 1259, 883, 519, 3059, 7706, 269, 10289, 922, 5610, 883, 2029, 20502, 922, 13916, 543, 10083, 538, 519, 2413, 1158, 563, 309, 7656, 269, 3131, 14658, 640, 540, 968, 31807, 20795, 6403, 7536, 4407, 968, 25975, 20795, 6403, 892, 949, 3100, 3551, 267, 922, 10848, 616, 4502, 3695, 269, 901, 3296, 12538, 883, 519, 13857, 10096, 543, 12496, 602, 3565, 547, 519, 829, 14658, 640, 540, 519, 2165, 563, 31714, 543, 2950, 949, 4612, 968, 25975, 20795, 6403, 892, 538, 3309, 2081, 269, 4197, 891, 9867, 12496, 8591, 6106, 547, 938, 8223, 540, 713, 2686, 7613, 563, 21197, 269, 8738, 560, 1465, 538, 968, 31807, 20795, 6403, 7536, 25842, 593, 12367, 454, 763, 16802, 1465, 540, 968, 25975, 20795, 6403, 892, 568, 10423, 538, 922, 2702, 547, 3337, 3466, 269, 901, 3296, 7710, 875, 519, 2165, 2833, 8090, 540, 6727, 8560, 267, 12018, 6626, 2686, 7391, 563, 5804, 10194, 814, 6255, 4711, 547, 7678, 532, 2591, 267, 968, 25975, 20795, 6403, 892, 814, 4810, 922, 2671, 540, 10194, 8090, 269, 24167, 891, 8320, 2488, 4030, 883, 519, 11707, 540, 2686, 3466, 563, 311, 269, 10289, 16930, 338, 454, 2414, 5963, 9787, 519, 9759, 540, 968, 25975, 20795, 6403, 2223, 649, 1590, 5490, 883, 922, 2143, 4162, 269, 901, 3296, 9397, 1524, 1808, 2609, 267, 5356, 513, 3102, 1620, 540, 519, 2165, 563, 24868, 1734, 21661, 5915, 16623, 454, 17843, 22097, 949, 9305, 547, 968, 31807, 20795, 6403, 892, 538, 3982, 2081, 269, 10289, 891, 1083, 1734, 8711, 519, 3309, 2081, 538, 799, 519, 2165, 24889, 609, 1585, 2516, 563, 311, 296, 269, 22062, 1049, 18868, 454, 14813, 26475, 593, 5678, 454, 763, 3310, 540, 968, 31807, 20795, 6403, 892, 11498, 547, 1893, 6384, 269, 22718, 922, 1764, 593, 17187, 6163, 543, 1893, 3466, 20502, 922, 1909, 538, 5935, 11913, 2792, 563, 20228, 836, 543, 12910, 11659, 454, 2026, 513, 2686, 7613, 267, 968, 31807, 20795, 6403, 892, 814, 694, 788, 539, 883, 27325, 543, 4948, 16166, 269, 24167, 922, 946, 538, 30351, 658, 1893, 2488, 513, 19214, 883, 922, 5610, 883, 3232, 7391, 563, 311, 2862, 269, 12056, 519, 10748, 1466, 454, 25618, 625, 585, 12650, 22899, 12474, 454, 8777, 1645, 1543, 568, 2629, 538, 519, 3059, 2085, 269, 901, 3296, 7710, 2994, 585, 2870, 9159, 1543, 1644, 547, 968, 25975, 20795, 6403, 892, 547, 2327, 16982, 609, 519, 5304, 563, 763, 7317, 2470, 540, 1543, 814, 1831, 14063, 269, 30459, 7317, 2609, 538, 5717, 1472, 968, 31807, 20795, 6403, 892, 10597, 5304, 6278, 543, 7589, 563, 311, 7656, 269, 15765, 20429, 538, 968, 31807, 20795, 6403, 7536, 15973, 21899, 609, 8177, 454, 8794, 606, 3742, 5639, 538, 5717, 827, 968, 25975, 20795, 6403, 892, 8591, 1764, 547, 519, 2239, 269, 901, 3296, 7710, 519, 1379, 540, 1893, 538, 23187, 519, 3846, 1143, 540, 519, 2165, 563, 2304, 3742, 5639, 711, 1152, 31825, 3927, 855, 849, 10597, 519, 4082, 540, 2093, 269, 901, 1016, 7611, 12538, 883, 875, 606, 3742, 5639, 8309, 547, 513, 811, 7524, 4901, 563, 311, 4353, 269, 1323, 11530, 625, 543, 5450, 777, 4243, 454, 2304, 11530, 625, 543, 23199, 2709, 513, 27461, 7828, 998, 799, 547, 2070, 968, 31807, 20795, 6403, 1848, 901, 3296, 7710, 3860, 16198, 602, 3986, 938, 1620, 540, 519, 2165, 563, 7437, 12746, 625, 543, 23199, 267, 1950, 2093, 1644, 547, 968, 25975, 20795, 6403, 892, 666, 581, 16866, 543, 4448, 269, 901, 1016, 7611, 9727, 875, 891, 10409, 2645, 3565, 547, 9355, 563, 11764, 3405, 1944, 6206, 18745, 454, 1103, 3932, 267, 968, 25975, 20795, 6403, 892, 19674, 607, 811, 982, 513, 6071, 2165, 282, 621, 779, 513, 2686, 7613, 609, 2620, 3140, 5072, 543, 2413, 6377, 10083, 269, 5681, 3405, 1944, 519, 1883, 2798, 25040, 519, 6946, 6106, 8268, 2429, 519, 2376, 563, 276, 23433, 14174, 17988, 454, 268, 1772, 968, 31807, 20795, 6403, 892, 513, 2487, 7613, 267, 610, 1281, 621, 723, 3140, 4644, 888, 268, 634, 2165, 814, 3140, 5072, 267, 855, 922, 4207, 8560, 814, 1147, 3022, 538, 2487, 1296, 563, 268, 1215, 1281, 968, 25975, 20795, 6403, 892, 8428, 2066, 1585, 4525, 543, 4529, 888, 268, 13636, 7648, 3565, 547, 3309, 12496, 543, 10096, 540, 968, 25975, 20795, 6403, 3034, 268, 1548, 1909, 1281, 1514, 2923, 1404, 538, 519, 4720, 540, 968, 31807, 20795, 6403, 892, 888, 268, 4317, 2923, 814, 3648, 28659, 519, 15287, 543, 3466, 2404, 609, 968, 25975, 20795, 6403, 3034, 268, 2052, 968, 25975, 20795, 6403, 892, 581, 2808, 513, 1106, 540, 1148, 888, 268, 25999, 269, 20551, 723, 17947, 968, 25975, 20795, 6403, 892, 607, 513, 2707, 540, 6667, 2066, 1585, 1148, 3029, 563, 268, 1772, 972, 513, 4276, 1063, 968, 31807, 20795, 6403, 892, 543, 6639, 7760, 888, 268, 8786, 267, 968, 25975, 20795, 6403, 892, 814, 1336, 3156, 538, 2029, 267, 15386, 922, 13916, 538, 2413, 8658, 269, 0, 2026, 12616, 14233, 1831, 811, 2442, 538, 5321, 543, 6080, 267, 519, 991, 585, 6007, 11166, 4027, 849, 14340, 269, 5565, 7986, 1806, 616, 14628, 15989, 544, 10183, 543, 8773, 12511, 2973, 619, 602, 8850, 2132, 547, 741, 12123, 3490, 950, 789, 991, 12123, 610, 616, 7329, 548, 563, 763, 1259, 513, 1582, 1790, 1886, 8215, 27115, 568, 4448, 547, 513, 29789, 568, 2356, 547, 5447, 513, 6292, 540, 4496, 17066, 593, 519, 27115, 609, 519, 7222, 17066, 593, 519, 29789, 269, 4595, 891, 17066, 616, 2356, 4092, 593, 519, 5377, 540, 519, 27115, 267, 972, 568, 513, 1981, 540, 513, 2110, 5547, 950, 519, 27115, 10596, 936, 606, 6534, 4496, 1843, 269, 634, 27789, 8773, 949, 1780, 998, 519, 4496, 14656, 17446, 540, 519, 24095, 267, 610, 519, 15989, 544, 1077, 949, 7237, 1585, 4496, 3615, 6456, 538, 519, 6371, 563, 11997, 267, 519, 10512, 3106, 540, 796, 3430, 2105, 12747, 14233, 2115, 547, 581, 2808, 267, 2523, 950, 513, 2110, 5547, 4386, 693, 519, 12123, 2823, 267, 799, 949, 5305, 1360, 1164, 6007, 11166, 1699, 563, 289, 19495, 11166, 4027, 454, 2467, 616, 1082, 1114, 2081, 547, 2149, 12123, 17066, 543, 3976, 2057, 2110, 11387, 269, 12305, 513, 5110, 762, 13104, 610, 3382, 602, 14014, 519, 27115, 950, 621, 568, 30890, 689, 519, 29789, 267, 610, 519, 17066, 666, 581, 2966, 547, 1427, 847, 269, 1809, 713, 7344, 1374, 8591, 3063, 1942, 267, 543, 519, 8825, 3382, 666, 11523, 610, 29840, 269, 769, 1840, 267, 513, 2964, 1227, 13234, 6467, 666, 849, 581, 3773, 547, 519, 5547, 1374, 547, 8850, 20586, 519, 17066, 1310, 519, 5122, 27115, 568, 30890, 689, 519, 29789, 563, 3719, 1210, 5907, 4027, 11387, 23352, 519, 991, 585, 3001, 2694, 543, 2488, 513, 811, 7347, 543, 6325, 3070, 269, 2290, 1259, 713, 666, 581, 2944, 568, 998, 513, 2241, 26534, 12122, 269, 1717, 267, 950, 519, 26534, 568, 4464, 21678, 267, 519, 6453, 6749, 2066, 621, 6971, 519, 12123, 6453, 9447, 547, 519, 6007, 267, 4929, 13311, 1379, 2530, 563, 288, 26534, 6439, 8595, 609, 513, 6093, 4464, 6453, 540, 966, 293, 815, 476, 271, 269, 4649, 309, 2164, 538, 513, 4744, 11692, 540, 476, 272, 269, 4792, 310, 693, 476, 274, 288, 12123, 1699, 630, 303, 815, 594, 1535, 966, 293, 1916, 5278, 27115, 9755, 4194, 713, 1966, 676, 1210, 631, 5308, 293, 4953, 338, 585, 9258, 11166, 4027, 269, 1879, 12123, 568, 5828, 593, 267, 519, 631, 5308, 293, 4953, 781, 1970, 593, 9113, 2700, 630, 305, 9169, 263, 517, 4297, 5849, 8766, 6749, 538, 12123, 6453, 267, 4180, 6099, 12123, 4398, 543, 6007, 1272, 269, 769, 1840, 267, 1379, 4616, 568, 4389, 547, 513, 5934, 563, 288, 623, 15178, 631, 5308, 293, 4953, 609, 606, 681, 9169, 263, 517, 264, 540, 476, 3451, 332, 394, 358, 267, 971, 607, 519, 667, 6573, 29024, 278, 299, 293, 14701, 267, 6971, 519, 6007, 12123 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5025, 3660, 5071, 454, 268, 7822, 3009, 9248, 454, 268, 14409, 540, 2681, 2592, 454, 268, 10829, 1436, 540, 2681, 5624, 0, 8368, 540, 12937, 10778, 12749, 21909, 687, 13100, 623, 625, 4569, 8018, 10778, 303, 328, 623, 625, 4569, 8018, 1703, 616, 1614, 2055, 547, 2347, 538, 713, 4976, 799, 4125, 2542, 543, 16208, 1239, 593, 2650, 12125, 519, 1101, 1079, 2055, 1450, 596, 547, 26821, 519, 5578, 540, 2542, 1239, 23883, 2979, 1256, 952, 707, 1126, 3884, 512, 4712, 585, 7194, 646, 666, 1451, 547, 1205, 1010, 26971, 1472, 12125, 543, 11708, 609, 713, 2241, 8768, 873, 539, 2650, 5750, 4976, 948, 707, 1126, 1118, 513, 4635, 519, 1344, 538, 519, 3381, 2119, 547, 1931, 519, 3268, 602, 616, 2838, 950, 5373, 513, 2650, 5750, 946, 891, 3268, 547, 2721, 513, 2650, 5750, 609, 713, 4976, 689, 28168, 335, 617, 563, 303, 328, 623, 625, 4569, 8018, 19850, 649, 1654, 782, 1044, 972, 835, 20105, 540, 22481, 2650, 5012, 547, 1776, 543, 7168, 4166, 596, 556, 28077, 519, 29412, 7188, 619, 538, 713, 4976, 723, 3144, 1932, 1454, 1426, 585, 2933, 543, 621, 521, 909, 547, 596, 547, 1411, 666, 4194, 713, 3018, 521, 11015, 609, 513, 2650, 2757, 610, 16741, 543, 14253, 518, 513, 4050, 543, 1957, 610, 513, 2370, 2979, 519, 3903, 568, 16523, 835, 2786, 20105, 998, 835, 2898, 2650, 17337, 519, 2650, 883, 654, 5622, 649, 556, 7487, 606, 7269, 540, 519, 2650, 865, 519, 2344, 568, 3478, 1454, 8273, 621, 729, 3592, 513, 10421, 547, 1174, 519, 2979, 3297, 1018, 729, 2469, 593, 855, 891, 2395, 609, 891, 2731, 8799, 563, 303, 328, 623, 625, 4569, 8018, 3973, 1775, 10736, 602, 547, 26486, 1250, 2979, 5143, 803, 547, 946, 476, 273, 26486, 540, 3819, 621, 6501, 4005, 532, 1310, 546, 18804, 538, 476, 273, 26486, 1775, 4718, 737, 2761, 7396, 519, 3819, 16163, 2917, 18839, 2630, 519, 28631, 11160, 476, 275, 929, 2908, 1873, 790, 2650, 6142, 835, 540, 519, 4182, 521, 3056, 31837, 27700, 338, 3246, 4600, 13180, 6142, 547, 1507, 4213, 2221, 30792, 922, 7649, 22045, 4107, 540, 519, 942, 519, 11810, 540, 4189, 513, 4558, 11751, 13792, 16741, 8957, 6765, 568, 1134, 2653, 1931, 538, 855, 538, 891, 563, 23895, 14896, 622, 14039, 1554, 476, 274, 476, 1691, 15292, 476, 1691, 609, 513, 20105, 540, 2650, 602, 521, 1175, 835, 1259, 606, 7329, 22840, 2979, 4116, 568, 7674, 909, 513, 1259, 547, 29428, 14039, 1554, 713, 1032, 593, 513, 2893, 584, 1485, 9878, 24744, 547, 519, 11968, 2587, 7062, 5104, 569, 476, 1704, 929, 2908, 1873, 790, 533, 4954, 544, 764, 691, 2284, 2221, 13847, 519, 4190, 3781, 3134, 607, 851, 540, 519, 8521, 5765, 556, 5305, 540, 1010, 28601, 17581, 1166, 5446, 2650, 1813, 585, 5305, 563, 29222, 2060, 4569, 13100, 623, 625, 8018, 28826, 275, 330, 1749, 454, 29222, 2060, 4569, 13100, 623, 625, 8018, 4728, 476, 1691, 476, 274, 476, 1691, 1772, 12079, 6053, 13100, 4303, 1656, 898, 14348, 3502, 2142, 13159, 9453, 634, 13100, 5269, 4569, 1656, 4804, 6168, 19449, 3380, 2060, 3776, 570, 7360, 13100, 623, 625, 1306, 1323, 11314, 1280, 634, 15858, 4495, 8866, 5620, 7179, 539, 4934, 1656, 7388, 1540, 634, 13100, 8018, 5620, 23067, 8073, 19449, 3380, 2060, 634, 23893, 18924, 4394, 454, 303, 328, 4303, 6096, 454, 8722, 770, 2201, 623, 625, 1656, 18270, 622, 2060, 634, 634, 4364, 13100, 4303, 8018, 28826, 1280, 5664, 3427, 5753, 3171, 520, 1005, 11242, 6145, 6478, 9612, 13565, 1677, 13100, 4303, 5463, 1712, 634, 26629, 26271, 681, 1497, 4855, 634, 8562, 636, 12401, 2986, 634, 2667, 9285, 623, 625, 4855, 634, 9351, 2986, 19449, 3380, 1677, 16534, 589, 631, 10270, 12433, 634, 18924, 2678, 8562, 636, 12401, 1656, 9351, 2986, 8562, 983, 27014, 13159, 634, 476, 276, 769, 476, 272, 11314, 1656, 6258, 2859, 6168, 13100, 4635, 634, 5675, 32653, 454, 303, 328, 623, 625, 4569, 8018, 28826, 1280, 8866, 5131, 6478, 454, 13043, 6096, 631, 30769, 6755, 4290, 8342, 18014, 28826, 6478, 2480, 1090, 1076, 6478, 9612, 2422, 3776, 7981, 8437, 1677, 7179, 29502, 1677, 13332, 634, 10163, 2986, 634, 8525, 1656, 8307, 27189, 634, 12005, 1677, 2659, 2398, 5793, 5192, 589, 15026, 769, 2659, 19478, 5272, 10432, 5548, 9121, 6034, 569, 1677, 2659, 19478, 5192, 898, 3767, 25547, 633, 28826, 28315, 769, 2659, 19478, 454, 303, 328, 623, 625, 4569, 8018, 26964, 454, 303, 328, 623, 625, 4569, 8018, 3807, 11146, 13100, 623, 625, 24511, 594, 11146, 30474, 13518, 7102, 9877, 2986, 26629, 31453, 21582, 623, 625, 18527, 17773, 4569, 11819, 4569, 15858, 9752, 4569, 15858, 14313, 15858, 2598, 680, 904, 26229, 4569, 23467, 1041, 4569, 2859, 6176, 590, 8491, 1635, 1977, 26629, 7027, 476, 277, 4658, 4746, 11146, 1452, 14313, 4569, 4147, 8342, 4569, 4569, 10632, 4569, 11242, 8342, 10632, 1280, 454, 30108, 8249, 15026, 4569, 6096, 13100, 4303, 454, 303, 328, 13565, 4569, 6657, 10819, 8018, 1280, 11628, 5664, 3427, 619, 1656, 5455, 901, 8422, 8525, 11657, 13201, 20640, 13100, 634, 4364, 6657, 10819, 2334, 16186, 3245, 14168, 1677, 5262, 2159, 9509, 7822, 29093, 5269, 634, 10819, 31418, 1512, 1677, 7427, 1656, 1323, 8382, 6206, 2060, 9509, 4112, 534, 725, 6435, 1411, 5192, 634, 4107, 2986, 4934, 901, 21220, 13135, 5131, 8281, 10403, 13100, 4303, 6096, 3798, 3559, 704, 454, 1607, 13100, 1772, 2836, 12929, 5131, 18270, 622, 13100, 4303, 4728, 476, 1691, 2107, 476, 274, 476, 1691, 634, 22472, 2986, 589, 17781, 590, 8562, 636, 12401, 1677, 4706, 18924, 2678, 4569, 11242, 26451, 11730, 9351, 1656, 8562, 636, 12401, 18471, 4934, 634, 5149, 303, 773, 8641, 6096, 454, 2521, 3776, 5131, 26629, 8641, 6096, 2060, 3807, 589, 17266, 8437, 7335, 26629, 28977, 30488, 634, 26629, 28977, 769, 901, 6657, 5590, 29597, 8422, 26812, 3215, 21771, 30488, 2052, 6258, 1215, 1677, 19873, 4578, 4635, 1452, 26629, 28977, 7335, 26629, 28977, 9978, 26271, 634, 15026, 6096, 1280, 476, 275, 628, 6103, 1656, 476, 276, 628, 6103, 8866, 3657, 9122, 2201, 27284, 17773, 634, 26629, 8641, 1772, 667, 22866, 20553, 4968, 5131, 623, 625, 4569, 16103, 623, 1460, 629, 599, 454, 303, 773, 13100, 17781, 18924, 2678, 476, 1691, 476, 2420, 476, 271, 13100, 17781, 18924, 2678, 476, 279, 476, 277, 476, 274, 623, 1221, 1809, 7815, 12704, 476, 279, 476, 279, 476, 271, 17289, 13100, 631, 2967, 9147, 476, 275, 476, 277, 476, 272, 8621, 601, 514, 674, 8543, 24079, 476, 1626, 476, 1626, 476, 273, 13100, 17781, 18924, 2678, 476, 1321, 476, 2641, 476, 271, 13100, 17781, 18924, 2678, 476, 1556, 476, 279, 476, 273, 13738, 7557, 340, 13100, 476, 277, 476, 279, 476, 271, 623, 1221, 18844, 16819, 7186, 476, 1556, 476, 1321, 476, 272, 6258, 3427, 9906, 476, 274, 476, 277, 476, 271, 30722, 13100, 13100, 476, 276, 476, 1724, 476, 271, 16819, 11206, 7186, 476, 1015, 476, 279, 476, 271, 2342, 517, 623, 1221, 26850, 9697, 7815, 476, 273, 476, 272, 476, 275, 4173, 517, 623, 1221, 4173, 517, 454, 303, 328, 8571, 589, 17781, 3973, 634, 8562, 636, 12401, 2353, 634, 10158, 15907, 634, 17781, 1772, 476, 274, 589, 7089, 19612, 1306, 13100, 13100, 25460, 6407, 6145, 26629, 1772, 10705, 18838, 4635, 634, 5259, 13507, 634, 9502, 2986, 1772, 634, 8562, 636, 12401, 667, 22866, 1635, 634, 18924, 2678, 2986, 589, 17781, 634, 8562, 636, 12401, 667, 22866, 1635, 634, 18924, 2678, 2986, 589, 17781, 1772, 11408, 3143, 17460, 1215, 14066, 2107, 9540, 634, 17781, 1772, 1677, 6435, 1411, 454, 23911, 4569, 13100, 19693, 654, 274, 25217, 338, 454, 14240, 1656, 26402, 634, 4569, 13100, 19693, 16849, 634, 10025, 13100, 476, 274, 898, 1772, 4347, 1441, 1306, 634, 22472, 2986, 634, 8562, 636, 12401, 1677, 634, 18924, 2678, 2986, 589, 17781, 8074, 7527, 1227, 13100, 1772, 3115, 18677, 1635, 454, 303, 328, 623, 625, 4569, 8018, 269, 634, 4976, 568, 606, 25819, 540, 476, 275, 10578, 18697, 602, 786, 3986, 707, 4819, 781, 1702, 543, 5759, 269, 634, 3211, 616, 6035, 538, 1646, 958, 3617, 8747, 585, 3214, 540, 1114, 6502, 269, 17006, 543, 18946, 9981, 3211, 538, 1082, 9832, 1519, 513, 1297, 540, 5079, 585, 24324, 946, 563, 2791, 666, 2253, 609, 519, 26627, 27664, 17400, 1161, 543, 1310, 602, 1847, 4464, 609, 519, 27608, 17400, 1161, 269, 29986, 585, 3214, 786, 849, 581, 2864, 2241, 547, 1020, 538, 971, 513, 6752, 269, 1403, 596, 2811, 606, 2937, 543, 6999, 547, 2333, 707, 13002, 267, 621, 666, 581, 12913, 269, 1306, 513, 1267, 267, 538, 519, 2680, 602, 596, 2731, 6999, 547, 3986, 13002, 540, 707, 4819, 267, 31657, 547, 2263, 519, 5383, 540, 606, 10995, 1565, 1907, 1631, 2336, 13706, 875, 596, 6999, 547, 17492, 707, 4357, 5132, 3948, 269, 6884, 5022, 723, 547, 581, 14661, 547, 3514, 538, 513, 1880, 2230, 269, 1879, 513, 4484, 1281, 711, 723, 1022, 7299, 338, 899, 513, 3854, 589, 610, 966, 267, 519, 1360, 1101, 15497, 8482, 568, 9833, 607, 519, 6565, 269, 634, 4448, 543, 1793, 5896, 5022, 786, 581, 3833, 2241, 547, 1106, 2899, 519, 1082, 5546, 556, 19927, 1134, 269, 4634, 1945, 607, 2653, 607, 27378, 519, 4098, 4484, 540, 1279, 1913, 666, 4217, 707, 1126, 2087, 1010, 18551, 5759, 269, 13100, 623, 625, 4569, 8018, 563, 2467, 3884, 1405, 4376, 899, 513, 24077, 1650, 267, 543, 4986, 899, 1373, 519, 1268, 945, 3323, 513, 12021, 4683, 10828, 269, 5463, 4575, 2390, 519, 4998, 1935, 8905, 595, 27641, 1603, 568, 10416, 8678, 5346, 13002, 269, 6657, 2542, 676, 3054, 607, 1419, 607, 2009, 563, 10932, 4683, 17691, 547, 3489, 513, 1523, 540, 1018, 781, 856, 972, 1991, 547, 1818, 513, 1007, 835, 269, 1411, 616, 1869, 711, 2386, 519, 18119, 723, 519, 1697, 2856, 269, 28900, 267, 596, 4465, 1405, 946, 519, 5354, 540, 707, 2093, 269, 1403, 596, 4312, 3893, 606, 2856, 585, 513, 1907, 5225, 1217, 721, 269, 2334, 1797, 596, 666, 2253, 1318, 1141, 596, 616, 1100, 2339, 875, 2370, 596, 1522, 1745, 596, 4312, 3893, 547, 2285, 269, 1411, 616, 849, 3833, 19035, 540, 1022, 12316, 6521, 269, 769, 4505, 2053, 596, 4312, 7150, 602, 519, 1847, 540, 7115, 949, 581, 1932, 2038, 563, 10376, 3992, 538, 13002, 1058, 1376, 593, 513, 4195, 1007, 2985, 267, 865, 519, 2370, 835, 3587, 2614, 4055, 547, 2259, 269, 5272, 13002, 3992, 1058, 2253, 609, 519, 26897, 269, 29986, 1565, 568, 1175, 835, 540, 519, 1034, 1271, 1565, 2115, 540, 513, 4819, 269, 4804, 875, 547, 1224, 3884, 1405, 1175, 4101, 267, 855, 1187, 1932, 563, 763, 946, 540, 21870, 634, 946, 540, 21870, 568, 4105, 538, 15980, 707, 1126, 1451, 547, 13724, 13002, 269, 4746, 267, 7703, 538, 2247, 602, 6148, 707, 1360, 1101, 2119, 693, 23730, 949, 711, 3142, 4376, 4143, 267, 855, 1810, 1405, 3247, 3843, 269, 4495, 596, 616, 2111, 547, 960, 267, 596, 1522, 581, 14281, 875, 1454, 596, 1205, 2944, 269, 6875, 883, 7156, 875, 596, 1745, 827, 3054, 269, 15775, 2111, 547, 12189, 519, 9477, 2337, 3514, 811, 5022, 538, 513, 2370, 2230, 610, 3262, 856, 5022, 952, 789, 2811, 1932, 9395, 269, 12344, 596, 1590, 21821, 519, 5351, 540, 1776, 812, 547, 5000, 610, 948, 596, 1832, 5059, 563, 303, 328, 623, 625, 4569, 8018, 269, 8347, 547, 3314, 267, 596, 2141, 723, 547, 1416, 585, 707, 1126, 609, 5863, 1416, 267, 8296, 543, 15754, 547, 581, 2111, 547, 948, 1864, 1451, 269, 1411, 949, 849, 2307, 707, 4819, 781, 4116, 585, 3063, 3211, 269, 2659, 5067, 610, 8250, 568, 711, 2469, 547, 1175, 1451, 513, 1114, 4990, 540, 13944, 855, 538, 1840, 1451, 875, 547, 2328, 12461, 14688, 1317, 25777, 1603, 568, 3833, 4190, 547, 2638, 856, 269, 1306, 513, 1267, 267, 952, 513, 4819, 568, 2907, 7092, 689, 11838, 1010, 13002, 786, 9090, 581, 4299, 269, 22353, 267, 547, 581, 2111, 547, 9585, 713, 267, 952, 1453, 616, 6026, 547, 1106, 1114, 5546, 538, 513, 5078, 6752, 267, 621, 568, 2469, 547, 5512, 873, 547, 17492, 519, 5022, 538, 513, 2731, 5347, 543, 2653, 1505, 269, 4014, 621, 666, 581, 20036, 1169, 942, 513, 27344, 3081, 646, 2196, 2740, 593, 519, 19209, 267, 1053, 1616, 547, 1174, 875, 547, 946, 2250, 13029, 865, 607, 547, 3717, 543, 2328, 7157, 269, 2913, 2161, 267, 596, 1131, 899, 547, 5818, 707, 5067, 781, 610, 8250, 781, 13002, 267, 621, 568, 855, 6654, 602, 596, 1616, 547, 2285, 707, 5067, 610, 8250, 7899, 540, 2259, 267, 607, 789, 2161, 267, 2259, 2306, 3501, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2894, 18869, 476, 14093, 273, 264, 1107, 589, 272, 610, 589, 273, 12773, 454, 1607, 1449, 568, 849, 585, 2472, 5275, 606, 589, 272, 610, 589, 273, 12773, 269, 634, 1587, 568, 5116, 883, 513, 19460, 693, 827, 476, 16020, 595, 267, 543, 2837, 2242, 538, 519, 1570, 616, 4767, 1210, 8596, 269, 634, 3732, 568, 4767, 585, 1166, 5446, 267, 543, 519, 2527, 540, 519, 1570, 568, 6027, 1354, 543, 1310, 563, 8512, 601, 17011, 585, 946, 538, 1164, 4473, 5656, 454, 8512, 601, 3091, 513, 3099, 540, 3595, 268, 3603, 17011, 585, 946, 538, 1164, 4473, 5656, 267, 543, 5063, 9250, 1079, 1007, 3595, 268, 3603, 3826, 615, 17011, 267, 12327, 8008, 2207, 300, 667, 308, 4629, 589, 272, 543, 12327, 8008, 2207, 300, 631, 2177, 302, 667, 308, 4629, 589, 273, 563, 19350, 568, 938, 1592, 540, 1164, 8573, 1047, 5078, 17011, 543, 741, 16863, 563, 268, 12327, 8008, 2207, 300, 667, 308, 4629, 589, 272, 454, 268, 12327, 8008, 2207, 300, 631, 2177, 302, 667, 308, 4629, 589, 273, 1107, 589, 273, 1606, 272, 28504, 271, 454, 268, 12327, 8008, 2207, 300, 631, 2177, 302, 667, 308, 4629, 476, 1220, 2443, 645, 1606, 272, 28504, 271, 454, 268, 12327, 8008, 2207, 300, 631, 2177, 302, 14408, 476, 7742, 1107, 645, 4149, 272, 28504, 271, 630, 15290, 3413, 12089, 547, 513, 1875, 10687, 321, 755, 1043, 1570, 267, 6382, 4147, 661, 10039, 994, 309, 777, 712, 1852, 6106, 454, 268, 594, 313, 8008, 2207, 300, 12813, 4785, 589, 273, 1107, 589, 273, 1606, 272, 28504, 271, 454, 5472, 540, 891, 3487, 601, 17011, 2743, 5177, 6042, 585, 1164, 4473, 5656, 269, 1358, 849, 782, 3035, 519, 5207, 2009, 28944, 585, 2504, 540, 8673, 543, 1166, 5446, 20256, 267, 2565, 9270, 585, 3595, 3106, 563, 8170, 1576, 267, 621, 568, 1271, 547, 2015, 824, 2773, 2188, 950, 28408, 513, 9245, 267, 971, 607, 912, 268, 2011, 27978, 454, 268, 11158, 4187, 2676, 268, 875, 519, 9245, 568, 14018, 547, 707, 4070, 1826, 454, 16032, 2259, 568, 547, 14574, 519, 9245, 609, 519, 5207, 3595, 8760, 2899, 782, 824, 1883, 2773, 2188, 723, 1044, 1558, 563, 27852, 3106, 281, 513, 2629, 9936, 540, 2679, 6940, 454, 763, 18618, 3853, 540, 3595, 3106, 543, 6940, 666, 3006, 2408, 547, 581, 538, 4655, 269, 1280, 1383, 267, 519, 5177, 779, 7333, 593, 12318, 1043, 2326, 849, 11658, 519, 946, 540, 16025, 2443, 513, 2539, 3327, 1570, 982, 6405, 610, 5374, 2443, 538, 4571, 543, 1164, 4473, 5656, 269, 1809, 6038, 267, 3595, 3106, 568, 513, 4295, 6240, 540, 2679, 6940, 269, 4208, 888, 268, 674, 2231, 2110, 523, 519, 14438, 540, 513, 2679, 269, 589, 3978, 3595, 666, 2154, 8101, 2694, 540, 513, 2679, 267, 610, 606, 3003, 2679, 267, 547, 581, 32206, 2443, 10451, 782, 540, 519, 3327, 5434, 543, 5533, 2404, 609, 519, 1007, 4070, 563, 268, 674, 2231, 12520, 1804, 5666, 540, 3327, 8166, 543, 824, 6757, 9362, 883, 519, 2011, 543, 7404, 1216, 4703, 269, 2290, 1353, 1336, 602, 23999, 11642, 538, 4789, 5305, 606, 6059, 476, 13670, 267, 1822, 19726, 540, 2910, 273, 1142, 1032, 269, 273, 454, 268, 32288, 18017, 9087, 4461, 666, 3542, 1393, 7404, 1216, 4703, 454, 268, 5915, 565, 819, 540, 3595, 1673, 600, 3042, 5656, 5932, 5458, 9424, 540, 3653, 267, 930, 540, 799, 949, 581, 6757, 563, 2108, 27852, 6043, 568, 4867, 519, 7508, 851, 540, 519, 4264, 5656, 11015, 1107, 513, 2679, 568, 711, 5963, 4264, 952, 621, 666, 6633, 547, 519, 2666, 2223, 3081, 9605, 15822, 2342, 563, 27852, 3106, 538, 519, 27164, 7257, 5397, 454, 2467, 568, 4867, 513, 2101, 5397, 547, 27164, 7257, 5656, 2066, 2342, 269, 634, 9167, 779, 11412, 990, 566, 23027, 6663, 547, 22058, 622, 909, 547, 476, 3374, 2929, 5656, 676, 476, 10711, 271, 269, 11531, 267, 519, 5177, 2229, 6499, 782, 5321, 547, 3035, 606, 6052, 13437, 25890, 630, 7968, 290, 264, 540, 595, 676, 476, 10711, 276, 563, 763, 27164, 7257, 5397, 3091, 606, 4316, 547, 2087, 519, 3595, 3106, 540, 5656, 267, 855, 972, 568, 849, 519, 1981, 540, 1818, 5656, 1447, 3595, 2922, 952, 12318, 1043, 32234, 616, 8704, 563, 30395, 902, 799, 616, 519, 2547, 3608, 543, 1034, 2693, 547, 1995, 4492, 6710, 2443, 971, 607, 4587, 1514, 8027, 7161, 2443, 616, 1419, 1346, 1034, 693, 1981, 689, 3595, 1932, 269, 1924, 267, 952, 2944, 1318, 267, 519, 27164, 7257, 5397, 6799, 513, 2189, 4316, 547, 2087, 1648, 4398, 267, 4313, 543, 3595, 3106, 782, 693, 2899, 563, 22142, 9376, 610, 3625, 3595, 608, 1080, 269, 5901, 3653, 1570, 2476, 689, 9101, 8905, 269, 9605, 9885, 711, 1152, 1683, 513, 1259, 856, 1282, 513, 3595, 267, 789, 849, 3500, 519, 3262, 540, 519, 2360, 540, 3595, 543, 8673, 269, 8550, 4412, 3595, 9885, 1930, 23130, 568, 519, 2956, 540, 3595, 543, 14809, 4027, 538, 538, 1164, 8573, 1047, 5656, 286, 20064, 27852, 4027, 568, 711, 1152, 5059, 593, 16069, 519, 3262, 540, 26428, 267, 855, 849, 8673, 543, 5906, 9362, 269, 634, 1292, 3483, 540, 782, 3595, 4027, 2994, 568, 547, 3500, 1524, 519, 3262, 540, 891, 2609, 543, 1450, 15063, 2533, 547, 798, 741, 2816, 543, 7264, 547, 17355, 10663, 9108, 23130, 616, 519, 3652, 585, 3595, 3106, 286, 20064, 7476, 1524, 267, 1205, 1970, 267, 1205, 856, 1107, 8673, 568, 20715, 267, 1205, 18284, 621, 593, 707, 3946, 543, 19704, 267, 543, 31770, 547, 519, 14282, 2922, 14827, 269, 1744, 583, 519, 9885, 3297, 596, 547, 3247, 519, 3262, 540, 3595, 543, 8673, 269, 1744, 719, 9605, 256, 9605, 256, 1432, 616, 476, 274, 13390, 1081, 776, 3800, 602, 666, 2061, 3595, 286, 20064, 12749, 9669, 585, 9605, 8881, 454, 9743, 718, 8673, 32302, 593, 1169, 1377, 540, 707, 1753, 267, 3330, 5127, 7741, 543, 3544, 12008, 2127, 269, 4530, 8673, 32302, 1169, 3923, 269, 1403, 789, 2811, 711, 2324, 267, 1689, 519, 9075, 269, 13185, 609, 782, 1920, 2818, 827, 513, 3595, 9101, 1544, 543, 2259, 519, 1544, 7466, 513, 1032, 563, 268, 5329, 707, 9036, 22619, 344, 543, 2348, 513, 1434, 3044, 540, 2777, 15209, 563, 268, 5781, 9427, 12318, 1043, 3653, 267, 1519, 7213, 2827, 540, 7452, 563, 268, 5329, 27307, 2959, 2476, 689, 12318, 1043, 1570, 610, 1166, 30100, 15559, 543, 9362, 563, 3519, 4740, 568, 3810, 11259, 547, 3002, 267, 543, 621, 568, 1875, 18474, 755, 1043, 267, 865, 621, 781, 3622, 2808, 835, 540, 519, 1034, 2500, 2679, 2326, 585, 23646, 1524, 11642, 269, 2334, 781, 835, 2601, 1946, 621, 781, 835, 540, 519, 1034, 4922, 1031, 2326, 585, 2413, 5656, 23130, 616, 519, 1034, 1271, 2609, 547, 581, 6870, 538, 513, 3595, 286, 20064, 28959, 267, 4492, 543, 5135, 1590, 9192, 538, 513, 5730, 1259, 585, 513, 3595, 547, 1376, 543, 3136, 547, 6633, 269, 1403, 835, 3693, 540, 519, 3595, 6906, 568, 711, 1459, 610, 6569, 267, 3595, 786, 711, 1376, 610, 267, 952, 2907, 8781, 267, 786, 24773, 880, 23130, 568, 835, 540, 519, 1034, 2500, 1797, 540, 3595, 4027, 538, 513, 2679, 286, 20064, 288, 1455, 3595, 4027, 1062, 568, 513, 8673, 18785, 543, 513, 20057, 2401, 269, 1403, 513, 3595, 31168, 267, 8673, 5036, 1055, 519, 18785, 4929, 519, 20057, 2401, 1062, 547, 19334, 269, 634, 1216, 14014, 1996, 519, 3262, 540, 3595, 23130, 616, 519, 2947, 3268, 3595, 3106, 286, 20064, 268, 5153, 476, 272, 910, 10576, 1004, 693, 1981, 269, 5620, 596, 4857, 945, 568, 693, 1981, 286, 4429, 268, 5153, 476, 273, 910, 10576, 3595, 10898, 269, 5620, 596, 4857, 782, 1761, 4492, 2959, 286, 4429, 268, 5153, 476, 274, 910, 21414, 519, 1981, 269, 4429, 268, 5153, 476, 275, 910, 16680, 707, 4681, 269, 4429, 268, 5153, 476, 276, 910, 5623, 543, 23590, 563, 27852, 3106, 568, 513, 1305, 540, 2853, 5497, 547, 2569, 9552, 3361, 676, 3595, 269, 9605, 3106, 3800, 1331, 1346, 602, 616, 5497, 547, 2061, 519, 27307, 540, 606, 29252, 3595, 543, 1346, 602, 616, 1031, 547, 3970, 519, 3262, 543, 1764, 540, 513, 3595, 563, 2467, 616, 2947, 4170, 585, 8236, 4977, 1101, 15778, 3595, 585, 1198, 269, 1452, 4170, 616, 4977, 3077, 4087, 543, 2450, 267, 4977, 20590, 1770, 4087, 267, 4977, 14049, 543, 993, 32099, 1344, 267, 4977, 14368, 1670, 1344, 267, 543, 4977, 12985, 5773, 23130, 568, 519, 1101, 1899, 540, 8878, 1996, 3595, 286, 20064, 288, 15409, 3595, 24773, 8718, 568, 1419, 519, 1101, 1899, 540, 8878, 1996, 513, 1507, 3595, 269, 589, 8036, 1268, 666, 4688, 2729, 543, 3959, 676, 1210, 606, 24773, 8718, 547, 2322, 856, 610, 1852, 513, 1507, 3595, 2394, 519, 3595, 8257, 21128, 269, 7617, 616, 519, 476, 274, 1292, 3595, 10898, 286, 20064, 13349, 3595, 10898, 616, 1336, 538, 1034, 5003, 17473, 543, 616, 711, 2404, 609, 1022, 2027, 5003, 3599, 269, 25003, 267, 17885, 267, 5122, 14233, 267, 4859, 267, 543, 8022, 616, 1455, 547, 1034, 5003, 3599, 2010, 23130, 1826, 540, 3774, 814, 1732, 3595, 4187, 286, 20064, 1432, 568, 519, 1034, 4122, 1031, 3595, 15033, 1570, 585, 9703, 6821, 286, 21859, 26011, 4604, 267, 849, 1634, 607, 3819, 13665, 267, 568, 519, 1034, 4122, 1031, 3595, 15033, 9703, 9096, 269, 7392, 2473, 31682, 4604, 568, 5701, 609, 21187, 547, 2087, 922, 3595, 9113, 2700, 3959, 267, 1818, 621, 513, 2442, 3903, 269, 7617, 19683, 616, 811, 3595, 4187, 286, 20064, 309, 514, 2643, 32466, 267, 17375, 22739, 267, 543, 2067, 6149, 616, 3595, 11259, 543, 1419, 1031, 538, 1753, 6539, 29353, 269, 1280, 4853, 5624, 543, 5010, 6539, 29353, 267, 18300, 748, 19683, 616, 711, 1152, 3595, 11259, 267, 855, 1683, 1082, 824, 2565, 2640, 602, 19683, 14475, 585, 519, 1753, 3112, 2709, 269, 7617, 1826, 540, 4070, 814, 519, 5207, 4187, 547, 3595, 286, 20064, 763, 1034, 3595, 15033, 5656, 267, 7392, 476, 272, 3889, 267, 616, 9112, 609, 6405, 543, 6870, 5374, 267, 799, 666, 16641, 1164, 5210, 1510, 2458, 2355, 532, 23130, 616, 519, 1614, 3334, 540, 7293, 3595, 4027, 286, 20064, 763, 3119, 2409, 540, 8236, 3595, 21109, 666, 581, 6045, 998, 519, 946, 540, 519, 3595, 25543, 28353, 799, 7960, 689, 519, 5432, 3595, 6906, 269, 634, 3595, 6906, 568, 513, 8642, 6041, 540, 519, 1614, 3334, 602, 1590, 581, 1459, 585, 13674, 547, 2049, 281, 476, 272, 264, 4492, 267, 476, 273, 264, 3002, 267, 543, 476, 274, 264, 5135, 23130, 616, 519, 476, 275, 2409, 540, 3595, 21109, 286, 20064, 5472, 11642, 666, 581, 24773, 1639, 676, 9023, 267, 1159, 1278, 532, 267, 5182, 1324, 610, 676, 14443, 532, 519, 13674, 1184, 547, 24773, 880, 519, 3595, 23130, 13013, 11190, 4441, 2154, 513, 3595, 6604, 1544, 286, 20064, 4489, 271, 269, 4375, 910, 9605, 6604, 4566, 269, 7617, 568, 519, 1034, 1455, 1505, 540, 3595, 1852, 538, 513, 2497, 286, 20064, 763, 1034, 1455, 1505, 540, 3595, 21109, 568, 1216, 269, 769, 851, 713, 568, 1317, 1082, 3595, 4027, 1949, 538, 5656, 949, 723, 1044, 8704, 1354, 811, 4359, 3595, 21109, 1949, 941, 2139, 563, 2467, 616, 2789, 2081, 547, 26654, 531, 1047, 513, 2679, 267, 971, 607, 3595, 6821, 267, 9885, 267, 543, 13570, 7496, 269, 28533, 640, 7496, 21391, 519, 3262, 540, 8673, 998, 1930, 5624, 538, 22908, 543, 1063, 19683, 269, 1452, 7496, 666, 581, 1500, 689, 513, 3099, 540, 2326, 267, 971, 607, 6405, 267, 31682, 610, 544, 21863, 23130, 616, 519, 1079, 1292, 2010, 540, 3595, 4027, 1949, 286, 20064, 30874, 543, 12809, 3595, 4027, 960, 10446, 855, 1927, 547, 1683, 3102, 3795, 585, 707, 9744, 269, 769, 519, 25031, 2680, 540, 513, 3595, 267, 3742, 3595, 4027, 2409, 960, 547, 24773, 880, 519, 3595, 267, 1247, 12809, 3595, 4027, 8952, 519, 3595, 689, 10825, 547, 824, 2127, 538, 519, 2679, 23130, 616, 519, 476, 278, 6106, 540, 3595, 3106, 286, 20064, 6097, 547, 519, 9167, 9605, 8881, 6651, 267, 519, 476, 278, 6106, 540, 3595, 3106, 538, 5656, 616, 6604, 267, 7020, 267, 2038, 21109, 267, 27549, 267, 26654, 566, 267, 7293, 3106, 543, 3595, 8165, 23130, 616, 476, 275, 1919, 513, 3595, 3106, 1544, 1058, 1331, 286, 20064, 4263, 513, 5934, 267, 707, 3595, 6604, 1544, 1590, 1331, 281, 589, 1592, 540, 782, 2101, 3595, 10898, 267, 1697, 7829, 543, 4859, 5773, 585, 13818, 2326, 267, 1761, 27307, 2959, 543, 741, 1852, 267, 543, 519, 1826, 540, 3595, 4027, 3937, 2556, 547, 1852, 1142, 2101, 9651 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1557, 519, 14436, 3206, 1523, 689, 513, 8808, 540, 513, 5718, 602, 568, 12236, 538, 606, 6514, 540, 269, 3509, 5718, 2035, 949, 581, 2241, 538, 1250, 1995, 267, 1775, 4076, 1336, 602, 1390, 5718, 3340, 18532, 8086, 593, 1883, 2035, 269, 11879, 8086, 1557, 9295, 540, 14436, 2259, 585, 4791, 8808, 8086, 814, 1044, 3989, 607, 513, 1259, 585, 5718, 18759, 563, 2171, 1683, 5140, 1557, 1603, 3028, 476, 2190, 270, 278, 2972, 21295, 1557, 1603, 543, 2688, 1603, 2533, 3177, 676, 3318, 4081, 5830, 269, 10749, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 5718, 8086, 538, 8808, 269, 634, 2956, 540, 14436, 2259, 538, 8808, 14436, 8808, 1523, 540, 8086, 1369, 8808, 606, 269, 16711, 2359, 543, 5718, 1557, 8808, 7160, 2322, 518, 2035, 3184, 476, 278, 4267, 29890, 6323, 8086, 543, 1201, 3555, 7114, 1257, 269, 15557, 1557, 476, 272, 5718, 1557, 1196, 476, 278, 1789, 949, 476, 273, 267, 476, 1001, 272, 5693, 267, 2407, 523, 779, 1523, 540, 5718, 568, 513, 28094, 540, 3875, 6436, 267, 24866, 563, 30206, 2055, 267, 533, 476, 272, 519, 5718, 4161, 267, 476, 276, 628, 7160, 4901, 2055, 2630, 616, 1806, 540, 2055, 602, 596, 666, 10460, 547, 519, 2898, 1895, 610, 2285, 547, 1507, 269, 4635, 575, 756, 2125, 281, 1383, 540, 14436, 1603, 538, 513, 585, 519, 3483, 540, 8086, 519, 1557, 4927, 581, 609, 513, 1445, 593, 8808, 5718, 538, 1072, 269, 24167, 3631, 540, 8086, 593, 5718, 543, 2359, 8808, 5718, 543, 2359, 281, 14436, 2259, 538, 8808, 12882, 11366, 10634, 575, 756, 2125, 575, 563, 10403, 8086, 538, 8808, 2259, 4574, 1010, 1523, 540, 14436, 2259, 543, 476, 272, 513, 10805, 12016, 814, 513, 5718, 1909, 799, 3322, 269, 5131, 17440, 593, 8086, 1210, 575, 756, 2125, 14436, 4783, 689, 1557, 4157, 1260, 267, 519, 20410, 3594, 2754, 585, 1557, 524, 267, 11634, 7491, 267, 521, 630, 1220, 275, 264, 10915, 29193, 2259, 538, 8808, 269, 3657, 596, 10010, 609, 707, 8808, 1557, 1491, 513, 1413, 693, 938, 5718, 538, 8808, 1557, 5718, 538, 8808, 910, 8808, 1557, 948, 1603, 981, 3594, 269, 24167, 519, 1523, 540, 6313, 519, 1523, 540, 29013, 538, 8808, 5718, 29013, 281, 3095, 547, 519, 2104, 18759, 593, 8808, 5718, 563, 301, 2720, 532, 1557, 3732, 13008, 1007, 612, 904, 322, 537, 330, 1007, 612, 904, 322, 537, 330, 8808, 1557, 3732, 2985, 476, 272, 8808, 281, 513, 14436, 2259, 1995, 4367, 519, 3483, 540, 713, 7084, 568, 547, 1683, 513, 269, 1411, 666, 1353, 14436, 1557, 5098, 1806, 952, 6849, 538, 524, 333, 331, 5718, 8086, 1557, 607, 513, 1434, 5718, 543, 8808, 21927, 14436, 1557, 269, 589, 1523, 2079, 540, 29013, 538, 8808, 5718, 6313, 519, 1523, 540, 29013, 538, 29013, 538, 8808, 5718, 543, 2359, 666, 563, 20597, 1571, 666, 581, 15568, 998, 2123, 8086, 5718, 1983, 538, 8808, 476, 1321, 6313, 1523, 540, 5718, 610, 7487, 2933, 607, 269, 7151, 540, 14436, 1603, 1557, 538, 8808, 513, 8808, 14436, 4062, 593, 513, 3668, 540, 5718, 524, 322, 3534, 23332, 10873, 2035, 981, 4267, 269, 4828, 517, 14381, 2488, 1053, 609, 1775, 899, 519, 2898, 1523, 540, 519, 512, 568, 1271, 547, 2446, 602, 10464, 1557, 1603, 948, 814, 2141, 1044, 1945, 2413, 563, 3519, 32383, 543, 6436, 540, 5718, 998, 606, 6514, 540, 5718, 3069, 543, 1382, 8086, 281, 476, 4335, 2262, 1557, 1813, 1142, 3018, 269, 1411, 1522, 581, 3168, 585, 513, 4514, 1523, 540, 5718, 18061, 540, 8086, 4574, 1210, 8086, 585, 6542, 6514, 540, 519, 269, 24167, 2035, 540, 5718, 543, 8086, 538, 8808, 1557, 1820, 602, 519, 1523, 540, 5718, 1184, 540, 4835, 6514, 543, 269, 15557, 568, 5393, 1271, 593, 606, 1367, 543, 1895, 1377, 519, 1523, 540, 1949, 3206, 4016, 547, 519, 2702, 547, 1294, 519, 5348, 1458, 540, 519, 269, 6298, 8598, 9254, 568, 513, 3760, 585, 19174, 547, 2671, 1382, 4574, 18178, 547, 5718, 8086, 1957, 476, 272, 5718, 7145, 269, 15557, 814, 1044, 606, 2479, 19145, 1523, 585, 1250, 8086, 593, 519, 2575, 18591, 814, 4847, 803, 547, 1294, 519, 2956, 14436, 5718, 1557, 2278, 563, 5141, 732, 23992, 12621, 14172, 7711, 804, 732, 23992, 4699, 322, 9972, 519, 4513, 4699, 322, 2875, 14172, 476, 1001, 271, 7881, 543, 5718, 281, 875, 2123, 7881, 3132, 2500, 3401, 563, 5472, 7126, 590, 8491, 269, 0, 4263, 2547, 476, 1015, 1004, 5747, 538, 17896, 22656, 1813, 547, 12756, 563, 300, 7559, 568, 3001, 4724, 519, 22070, 2282, 476, 280, 5195, 829, 5662, 563, 19931, 693, 476, 276, 513, 6230, 269, 11728, 267, 5181, 476, 1839, 267, 476, 1001, 278, 267, 519, 5754, 1372, 6019, 8274, 540, 8189, 619, 723, 10294, 513, 1533, 540, 6595, 585, 782, 540, 5754, 1372, 6019, 543, 513, 16601, 21233, 27549, 540, 744, 28755, 1723, 651, 6816, 1813, 547, 519, 3463, 540, 19996, 12756, 563, 763, 16999, 12798, 616, 4397, 5087, 540, 15729, 6733, 719, 543, 2523, 936, 519, 4934, 518, 24434, 563, 2005, 5679, 18088, 856, 1379, 538, 519, 7330, 1455, 17314, 540, 811, 982, 476, 274, 2929, 1004, 267, 17896, 681, 296, 1723, 29583, 269, 26548, 16037, 14472, 8688, 6759, 1767, 563, 763, 5767, 16879, 593, 23587, 12756, 3947, 519, 7088, 513, 1732, 4960, 540, 7133, 3345, 10491, 676, 519, 1647, 540, 1985, 3018, 563, 2005, 781, 8876, 13455, 12798, 909, 547, 476, 6924, 5195, 829, 5662, 543, 10451, 1804, 2220, 20635, 2059, 13980, 540, 519, 25878, 5032, 540, 519, 2136, 2276, 543, 645, 1069, 19085, 563, 763, 21145, 476, 274, 7088, 729, 10704, 827, 476, 1911, 5195, 5087, 540, 519, 29401, 6243, 13628, 12784, 543, 3001, 22070, 693, 476, 280, 18890, 269, 634, 3950, 540, 12756, 786, 3251, 1134, 547, 519, 7532, 540, 6239, 8419, 543, 1281, 1413, 547, 3251, 2476, 689, 2244, 607, 621, 1236, 16630, 1063, 519, 2136, 2276, 543, 645, 1069, 19085, 269, 2060, 513, 22510, 2842, 856, 540, 519, 7532, 5991, 677, 8603, 267, 513, 1906, 29636, 941, 2111, 547, 1847, 24654, 543, 1256, 513, 7008, 540, 19711, 28323, 269, 634, 4099, 540, 10009, 568, 1631, 3001, 936, 16830, 7297, 2451, 3297, 689, 23587, 7054, 2742, 267, 855, 556, 3613, 21880, 28517, 568, 17191, 2899, 621, 7575, 5087, 540, 7054, 2742, 781, 2619, 269, 8409, 593, 519, 10491, 543, 4571, 268, 4263, 23007, 5032, 338, 616, 19230, 547, 6895, 519, 7088, 781, 3356, 563, 307, 7211, 7088, 543, 7088, 10006, 29167, 941, 9783, 10732, 10543, 630, 5353, 696, 476, 2190, 4700, 585, 2694, 540, 3345, 10491, 781, 5032, 607, 23587, 12756, 5170, 547, 1847, 5087, 267, 2687, 547, 519, 2817, 23587, 4741, 269, 769, 1880, 267, 519, 3169, 4222, 543, 2990, 540, 1079, 1164, 25774, 2934, 676, 2038, 1985, 3018, 786, 27774, 1175, 875, 2673, 12756, 786, 1205, 519, 5101, 11076, 563, 10870, 770, 531, 14700, 693, 2053, 540, 1164, 20352, 543, 11824, 11761, 949, 849, 2049, 609, 519, 4220, 6574, 2059, 519, 4934, 518, 24434, 543, 693, 519, 4571, 268, 4263, 23007, 17822, 269, 0, 2026, 649, 666, 1294, 267, 519, 3310, 540, 2923, 593, 14038, 568, 1360, 2462, 543, 621, 4440, 4422, 1018, 568, 811, 267, 621, 814, 513, 1360, 11213, 543, 5739, 1198, 593, 3395, 909, 269, 634, 4487, 781, 2852, 2923, 779, 1198, 593, 1560, 3239, 543, 476, 5952, 2600, 1589, 972, 779, 811, 3023, 538, 519, 2923, 1631, 982, 538, 741, 6107, 269, 634, 3310, 540, 1514, 2923, 593, 15730, 2623, 519, 12034, 1177, 1198, 2743, 938, 1007, 7264, 803, 1146, 811, 7224, 267, 544, 323, 267, 519, 3017, 568, 602, 609, 1514, 2923, 11783, 6356, 540, 2923, 593, 6107, 18102, 22988, 723, 6738, 5051, 15372, 539, 827, 6107, 5208, 972, 616, 2484, 1932, 1082, 540, 938, 1453, 11318, 543, 31362, 1866, 269, 8177, 540, 1514, 13033, 4609, 593, 519, 519, 26830, 941, 2966, 547, 1353, 519, 1764, 540, 1514, 13033, 563, 2005, 568, 2009, 602, 2029, 3755, 2443, 2523, 1346, 945, 946, 1514, 2923, 2443, 616, 811, 3222, 540, 17173, 2621, 538, 519, 2729, 540, 741, 2828, 543, 1920, 269, 7726, 3534, 2231, 7396, 2630, 616, 782, 596, 723, 547, 798, 568, 4945, 593, 519, 18102, 1888, 540, 596, 3903, 610, 922, 7222, 3758, 2012, 267, 519, 1198, 540, 269, 4317, 2923, 922, 1764, 609, 2318, 543, 2942, 1851, 519, 21944, 6107, 476, 4817, 278, 260, 540, 519, 2818, 616, 4448, 1514, 2923, 666, 3362, 1198, 519, 3214, 11783, 12186, 540, 10229, 593, 7141, 1560, 3239, 891, 2395, 649, 917, 602, 519, 2923, 543, 1560, 3239, 616, 538, 513, 1353, 3370, 538, 519, 4760, 540, 6107, 543, 563, 30108, 2866, 2852, 1100, 476, 5952, 331, 4833, 543, 2528, 13797, 16562, 561, 19313, 1630, 3960, 8643, 18102, 281, 519, 2923, 519, 18102, 593, 519, 269, 9012, 3884, 1405, 20244, 2318, 610, 2942, 2923, 781, 2318, 1299, 2942, 3310, 593, 14038, 538, 1931, 547, 7413, 519, 1198, 540, 891, 6835, 11783, 9085, 2689, 593, 7145, 540, 519, 946, 540, 1514, 2923, 513, 1867, 585, 22019, 1857, 1072, 556, 28136, 1085, 515, 514, 267, 943, 323, 263, 272, 1070, 737, 3861, 534, 530, 12291, 2529, 8394, 2090, 723, 4280, 6107, 827, 3483, 268, 995, 4598, 547, 4638, 1570, 2228, 513, 5619, 540, 1762, 1004, 11504, 513, 4357, 267, 4683, 1153, 538, 269, 8177, 540, 20835, 2069, 513, 737, 879, 742, 2006, 1382, 3126, 620, 828, 3279, 1347, 2284, 529, 513, 11001, 538, 519, 2804, 543, 1870, 1382, 1982, 693, 519, 14248, 518, 2852, 540, 269, 9012, 5208, 2360, 543, 10795, 6760, 519, 1198, 7306, 585, 7296, 543, 585, 2923, 5208, 616, 5176, 593, 6587, 519, 536, 1380, 14699, 18102, 269, 634, 2078, 540, 1514, 2923, 609, 519, 4081, 2442, 547, 519, 6107, 540, 1034, 6082, 1519, 519, 15599, 2089, 1149, 5619, 18102, 267, 540, 519, 269, 9012, 2360, 6436, 26725, 1543, 968, 637, 517, 919, 892, 609, 1483, 1272, 2833, 547, 24244, 519, 14713, 1198, 538, 799, 2152, 616, 5818, 539, 676, 2923, 269, 6732, 18102, 827, 741, 9547, 609, 741, 14191, 922, 1198, 593, 3755, 267, 543, 922, 1764, 2360, 540, 1514, 2923, 946, 593, 2078, 269, 476, 1428, 2055, 547, 2307, 707, 1053, 827, 1514, 2923, 630, 4103, 18694, 264, 1250, 1603, 5526, 593, 1196, 25791, 9712, 659, 558, 543, 1775, 3717, 4749, 693, 2029, 543, 2069, 269, 8177, 540, 1514, 13033, 4609, 630, 338, 985, 264, 593, 519, 6107, 18102, 593, 1585, 1514, 4609, 476, 1839, 260, 946, 873, 585, 1514, 2923, 269, 1215, 666, 1775, 798, 513, 5619, 547, 2263, 519, 2942, 2360, 540, 2923, 593, 18102, 540, 519, 2009, 1198, 540, 5230, 1198, 540, 6107, 2528, 563, 29753, 2527, 2923, 538, 607, 807, 476, 3422, 271, 18121, 476, 5611, 476, 278, 270, 277, 519, 10182, 540, 6107, 2509, 519, 21576, 827, 519, 3310, 540, 519, 21576, 593, 1453, 543, 269, 1548, 568, 1514, 18657, 777, 10737, 2360, 270, 23955, 540, 1514, 2923, 267, 17463, 2360, 270, 4134, 23955, 540, 1514, 2923, 267, 25152, 1382, 5013, 1198, 540, 1514, 2923, 593, 6107, 269, 4317, 2923, 814, 1831, 513, 851, 540, 3025, 779, 1272, 602, 621, 666, 1406, 581, 16053, 1514, 2923, 814, 1312, 2318, 543, 2942, 1764, 711, 1152, 593, 6107, 855, 849, 593, 22242, 543, 1453, 269, 12186, 540, 519, 2923, 593, 1560, 3239, 782, 773, 737, 990, 541, 581, 964, 31731, 1944, 938, 6107, 543, 3976, 2272, 585, 519, 1507, 1198, 2450, 2923, 4598, 1223, 563, 4415, 519, 946, 540, 1514, 2923, 1557, 268, 519, 2360, 540, 1514, 2923, 593, 4352, 972, 616, 1082, 2942, 5222, 602, 1514, 2923, 814, 593, 938, 6107, 269, 1306, 606, 5051, 24245, 543, 7524, 851, 540, 519, 1514, 14498, 540, 1453, 543, 6107, 267, 2923, 7506, 723, 6537, 519, 519, 3084, 3537, 12562, 2046, 8222, 15545, 594, 1560, 3239, 543, 519, 2923, 281, 519, 2923, 779, 3310, 593, 1560, 3239, 676, 15567, 773, 544, 838, 541, 24849, 330, 513, 1382, 1957, 11643, 538, 9864, 20106, 540, 519, 6185, 5877, 0, 4131, 614, 1603, 1256, 1498, 649, 1419, 1317, 519, 11768, 540, 513, 2413, 1870, 4484, 538, 7005, 568, 1360, 2241, 713, 666, 849, 1413, 1447, 4013, 543, 269, 16707, 540, 24255, 1603, 513, 6101, 4484, 540, 24255, 3788, 606, 2500, 1259, 547, 10332, 513, 2754, 547, 513, 1966, 476, 1724, 4914, 1913, 602, 3280, 678, 8775, 538, 7005, 269, 589, 1863, 4976, 585, 606, 552, 4148, 1315, 1965, 331, 1315, 1965, 565, 4928, 281, 3384, 610, 5355, 1053, 262, 1983, 538, 1603, 513, 6101, 4484, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 278, 281, 19866, 27264, 1235, 910, 19291, 670, 269, 27213, 281, 634, 30310, 267, 3571, 23839, 267, 543, 3571, 20154, 10500, 559, 2747, 692, 763, 7706, 540, 8978, 11091, 13315, 513, 3309, 5044, 540, 2043, 945, 723, 13991, 741, 2729, 543, 11678, 547, 4509, 519, 15889, 24790, 540, 1686, 269, 7324, 873, 267, 21706, 899, 19291, 670, 269, 27213, 3180, 513, 2189, 1747, 267, 13830, 8090, 538, 942, 543, 5624, 602, 949, 1100, 3476, 2291, 269, 901, 3184, 12538, 883, 27213, 262, 1272, 543, 960, 267, 2519, 4481, 593, 1010, 2078, 609, 519, 5420, 540, 26816, 1181, 15942, 543, 875, 621, 18595, 1149, 609, 1010, 5289, 4978, 607, 513, 13785, 321, 3073, 1014, 269, 3414, 713, 7634, 267, 649, 786, 2744, 5813, 883, 519, 7096, 1764, 971, 2123, 31710, 666, 723, 593, 7499, 4082, 543, 3140, 12319, 780, 296, 269, 4985, 692, 288, 269, 11137, 540, 19291, 670, 269, 27213, 543, 1010, 7418, 547, 8978, 11091, 454, 289, 269, 10312, 593, 27213, 262, 946, 540, 26816, 1181, 15942, 607, 513, 9053, 5420, 585, 1010, 26720, 10344, 454, 290, 269, 22410, 540, 27213, 262, 13785, 321, 3073, 1014, 4978, 543, 741, 3310, 593, 1010, 11247, 692, 2862, 269, 4197, 28469, 1181, 6215, 1938, 543, 4256, 19043, 538, 27213, 262, 4518, 692, 288, 269, 8466, 2796, 540, 26816, 1181, 15942, 454, 272, 269, 18882, 543, 1646, 540, 519, 2029, 454, 273, 269, 15019, 3096, 1282, 27213, 262, 5736, 454, 289, 269, 27213, 262, 24117, 3297, 7446, 26816, 1181, 15942, 454, 272, 269, 589, 20469, 7907, 543, 3308, 2360, 454, 273, 269, 19750, 9270, 585, 18071, 543, 10063, 1424, 2592, 454, 290, 269, 18948, 1063, 26816, 1181, 15942, 543, 4244, 2923, 267, 971, 607, 16493, 593, 1957, 454, 272, 269, 14502, 3604, 454, 273, 269, 3131, 18727, 5383, 543, 11393, 454, 291, 269, 7351, 10083, 543, 32134, 540, 1719, 538, 26816, 1181, 15942, 454, 272, 269, 7913, 11808, 3785, 454, 273, 269, 14288, 1382, 543, 24218, 692, 7656, 269, 10289, 13785, 321, 3073, 1014, 1143, 543, 4706, 8177, 593, 27213, 262, 5020, 543, 3203, 692, 288, 269, 17959, 543, 4909, 28975, 540, 13785, 321, 3073, 1014, 1143, 454, 272, 269, 661, 28609, 13785, 321, 3073, 781, 10752, 543, 12591, 454, 273, 269, 4886, 540, 519, 1715, 5783, 3350, 454, 289, 269, 3474, 4150, 3149, 1063, 13785, 321, 3073, 1014, 3741, 543, 27213, 262, 7499, 5075, 454, 272, 269, 32672, 5270, 585, 2470, 543, 2820, 6541, 454, 273, 269, 22716, 529, 593, 1769, 267, 2230, 267, 543, 16637, 1581, 2833, 454, 290, 269, 13335, 540, 13785, 321, 3073, 1014, 4798, 538, 27213, 262, 26720, 3126, 454, 272, 269, 13507, 1944, 10143, 4527, 1369, 11265, 3029, 454, 273, 269, 1230, 3272, 532, 6835, 540, 4126, 267, 9322, 267, 543, 25863, 692, 4353, 269, 8865, 5530, 281, 22718, 834, 31690, 11181, 24130, 257, 630, 6245, 279, 264, 3414, 519, 30776, 540, 27213, 262, 27801, 338, 692, 288, 269, 17461, 1344, 593, 519, 3239, 543, 922, 4644, 454, 289, 269, 3955, 31147, 519, 5888, 3842, 13785, 321, 3073, 1014, 16809, 454, 272, 269, 32085, 15523, 8204, 3618, 569, 5288, 269, 18477, 26441, 454, 273, 269, 661, 1492, 9418, 5790, 859, 3183, 824, 16447, 17349, 543, 5289, 31658, 454, 290, 269, 17564, 2055, 543, 12987, 585, 2417, 2079, 454, 272, 269, 1215, 1281, 519, 3903, 540, 5420, 3565, 547, 519, 2949, 5048, 888, 273, 269, 14424, 543, 4334, 834, 31690, 11181, 24130, 257, 609, 2147, 1568, 3812, 676, 824, 5159, 1472, 519, 1482, 1974, 1765, 6343, 798, 789, 7866, 827, 1114, 24866, 543, 23381, 338, 2496, 309, 269, 10390, 692, 288, 269, 1234, 5115, 540, 1883, 2798, 5941, 2429, 519, 3184, 454, 289, 269, 14506, 593, 519, 1909, 540, 2123, 3661, 1949, 538, 5935, 3860, 3977, 454, 290, 269, 11559, 618, 585, 5571, 1353, 543, 2565, 6278, 609, 8978, 11091, 3584, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 293, 1042, 15104, 670, 269, 27213, 630, 6977, 274, 1700, 3707, 274, 264, 6170, 519, 2490, 540, 519, 14206, 2540, 8523, 532, 2296, 543, 3943, 3032, 1117, 23552, 267, 2141, 1210, 519, 5939, 547, 4137, 513, 3226, 3735, 16972, 15372, 693, 519, 4503, 21755, 891, 10120, 3889, 3090, 1242, 269, 901, 2376, 32514, 919, 1010, 1148, 779, 2620, 3909, 30367, 676, 3695, 519, 25386, 6949, 1734, 540, 1010, 7150, 13283, 585, 519, 26816, 1181, 13472, 607, 513, 1489, 585, 1010, 2592, 267, 513, 2339, 602, 814, 1044, 1279, 15763, 5103, 1010, 3573, 4930, 593, 519, 1888, 269, 27213, 779, 26720, 11147, 616, 1034, 4628, 10146, 539, 950, 1010, 13319, 540, 4837, 936, 1957, 568, 17019, 543, 14648, 998, 1010, 30901, 547, 13785, 321, 3073, 1014, 1143, 563, 1103, 606, 11599, 8523, 267, 19291, 670, 269, 27213, 630, 6977, 274, 1700, 3707, 274, 264, 14604, 12493, 24130, 538, 606, 552, 1492, 9418, 267, 2597, 1652, 5134, 1657, 519, 4853, 4884, 2630, 267, 922, 838, 1600, 20610, 8757, 13140, 1189, 2476, 689, 519, 15429, 1740, 540, 3601, 538, 519, 32215, 630, 6245, 279, 282, 4453, 269, 476, 272, 1040, 769, 27213, 779, 1913, 267, 713, 2489, 2070, 5267, 968, 1492, 7715, 940, 1198, 892, 519, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9303, 7595, 27264, 1235, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 20551, 267, 11629, 338, 267, 7353, 20802, 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, 7689, 7170, 281, 9978, 5020, 8081, 10341, 281, 9861, 16721, 1563, 585, 9622, 2102, 2886, 692, 7072, 912, 5970, 596, 2479, 9289, 875, 596, 1223, 948, 2576, 538, 991, 1282, 606, 6595, 286, 18833, 2596, 1272, 1489, 1983, 666, 16491, 596, 609, 519, 6015, 543, 2702, 547, 4217, 1866, 2394, 3318, 2564, 6351, 21128, 269, 901, 3992, 786, 6338, 596, 547, 1898, 1101, 5351, 2553, 971, 607, 10992, 30506, 267, 7900, 9221, 735, 11306, 267, 21757, 28296, 267, 543, 28720, 15063, 24967, 269, 1635, 1565, 891, 1983, 267, 596, 3513, 1831, 1732, 5423, 547, 6023, 6397, 3871, 543, 5732, 4688, 2729, 2439, 4089, 476, 272, 281, 6744, 532, 13786, 4369, 454, 5331, 707, 3659, 814, 15468, 1055, 741, 11332, 1247, 14964, 1524, 24824, 269, 1358, 5749, 1405, 3001, 267, 543, 596, 1810, 1405, 917, 952, 789, 2811, 15502, 269, 1548, 798, 596, 798, 2496, 3721, 476, 272, 281, 13979, 873, 9350, 569, 543, 1289, 856, 741, 2012, 269, 1403, 972, 781, 1100, 3210, 267, 9900, 7148, 741, 13105, 563, 3721, 476, 273, 281, 6733, 585, 4191, 540, 7244, 610, 3350, 269, 19415, 5402, 585, 4992, 540, 7244, 543, 2638, 952, 741, 9221, 14380, 543, 8813, 563, 3721, 476, 274, 281, 1403, 789, 1869, 1397, 1100, 1129, 540, 1373, 17841, 267, 22551, 585, 948, 5612, 269, 1411, 1522, 2161, 1945, 899, 267, 834, 20055, 256, 3733, 3659, 2115, 2564, 3007, 1318, 2476, 15323, 8855, 267, 9363, 9350, 543, 5059, 1282, 18002, 568, 2629, 269, 898, 2636, 596, 547, 2708, 519, 3510, 8308, 543, 1491, 3617, 3527, 780, 4089, 476, 273, 281, 27400, 30446, 3281, 11306, 454, 2252, 707, 3659, 3884, 1405, 7244, 267, 9221, 735, 11306, 666, 948, 32694, 1973, 2429, 741, 1560, 543, 1832, 4105, 8219, 9800, 269, 1677, 1685, 9221, 735, 11306, 3927, 1384, 3721, 476, 272, 281, 918, 928, 601, 22290, 707, 3659, 269, 9255, 519, 24933, 540, 835, 1688, 593, 519, 2539, 3368, 540, 741, 6089, 14752, 630, 1492, 4099, 540, 741, 9221, 1916, 3721, 476, 273, 281, 10925, 707, 824, 1688, 593, 1283, 540, 519, 1101, 1688, 267, 26936, 11263, 865, 789, 1448, 2509, 707, 3659, 781, 2212, 269, 5901, 707, 7916, 2786, 543, 9376, 707, 1714, 28647, 563, 3721, 476, 274, 281, 4964, 1524, 16119, 609, 1312, 3946, 267, 17935, 547, 1244, 816, 519, 9221, 827, 476, 272, 270, 274, 922, 3178, 269, 24793, 3533, 855, 12347, 269, 19244, 693, 513, 2557, 540, 1472, 476, 1911, 268, 6344, 735, 11306, 829, 8792, 780, 9616, 281, 1280, 7820, 1453, 267, 946, 1152, 1079, 11263, 3079, 540, 1079, 3946, 950, 7900, 9221, 735, 11306, 269, 11408, 4188, 1759, 593, 519, 2450, 540, 519, 1268, 17596, 948, 780, 4089, 476, 274, 281, 7581, 2130, 5794, 1811, 543, 1520, 2381, 3563, 532, 1763, 26443, 22165, 26387, 454, 2414, 1683, 2417, 1489, 1310, 7900, 9221, 735, 11306, 267, 2312, 707, 3659, 781, 21572, 543, 5838, 15063, 24967, 269, 7427, 891, 3268, 1384, 3721, 476, 272, 281, 570, 2830, 741, 2212, 5594, 1394, 543, 12740, 741, 24060, 269, 901, 2337, 1930, 909, 519, 21572, 563, 3721, 476, 273, 281, 18237, 577, 741, 9224, 9505, 1210, 707, 14853, 543, 4994, 9416, 269, 6875, 513, 2620, 7362, 3054, 267, 1287, 1747, 707, 5023, 936, 741, 338, 267, 8108, 513, 9395, 13021, 269, 645, 869, 7444, 883, 741, 5023, 2394, 596, 1294, 741, 9221, 4473, 563, 3721, 476, 274, 281, 17179, 707, 5023, 13713, 267, 3850, 741, 9641, 547, 1219, 17218, 6923, 1354, 4758, 1776, 15063, 7362, 269, 15566, 20367, 1063, 9221, 735, 11306, 543, 15063, 24967, 780, 6962, 912, 3528, 13215, 2596, 1272, 1489, 1983, 267, 596, 1831, 606, 23518, 1367, 5827, 540, 7829, 1585, 18002, 269, 5457, 547, 3251, 9350, 267, 1246, 891, 4808, 1900, 8386, 9912, 267, 543, 1034, 11932, 1107, 3343, 7525, 2564, 3007, 2899, 2922, 547, 798, 865, 269, 2060, 2259, 267, 596, 3513, 1020, 519, 4887, 3965, 2877, 547, 4431, 24847, 543, 18390, 1282, 2565, 8090, 269, 13773, 21713, 267, 3251, 5363, 267, 543, 3251, 2635, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19688, 476, 272, 267, 476, 1708, 271, 454, 8253, 1818, 1022, 4989, 674, 8962, 7125, 2221, 267, 594, 1589, 649, 616, 782, 519, 4989, 674, 8962, 585, 3972, 532, 938, 6608, 547, 2149, 721, 689, 1018, 729, 2141, 1175, 936, 519, 16880, 269, 1306, 594, 5206, 1934, 538, 5130, 281, 2048, 296, 3136, 547, 21199, 1250, 2212, 693, 519, 3668, 331, 755, 516, 8241, 3210, 547, 519, 1351, 7431, 3644, 12176, 269, 2755, 519, 3744, 616, 3257, 5863, 960, 267, 607, 8912, 267, 519, 3609, 15670, 543, 741, 1857, 1235, 588, 18443, 2059, 269, 15783, 5774, 12515, 267, 607, 713, 5693, 568, 267, 991, 2962, 602, 568, 1312, 2178, 543, 14368, 1227, 3728, 9957, 24664, 1176, 585, 741, 7264, 14135, 6956, 713, 543, 19500, 9935, 267, 1519, 2348, 513, 4628, 6006, 539, 476, 4968, 5127, 6855, 6413, 9361, 8900, 267, 7996, 585, 1175, 713, 12136, 269, 16874, 649, 1185, 513, 2147, 6413, 1305, 909, 630, 663, 649, 666, 6488, 621, 264, 649, 1131, 1631, 723, 621, 13026, 676, 1346, 7620, 7783, 267, 609, 1100, 2146, 1098, 12401, 9648, 269, 1809, 4966, 899, 4515, 14175, 320, 5062, 4504, 344, 516, 267, 945, 13186, 6244, 713, 2680, 7081, 609, 3486, 9164, 538, 513, 3018, 1279, 10554, 1175, 2063, 5437, 267, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21995, 5020, 8081, 10341, 257, 607, 851, 540, 834, 16300, 13493, 1315, 2657, 1299, 11545, 12389, 1315, 3689, 22707, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 998, 942, 607, 649, 2263, 519, 1158, 540, 28167, 13005, 30058, 256, 1411, 1522, 723, 4862, 1010, 2012, 1354, 267, 855, 1705, 596, 917, 646, 729, 1454, 811, 982, 1175, 606, 7376, 945, 13556, 519, 3933, 320, 23436, 286, 1261, 729, 513, 3020, 21184, 945, 1500, 1271, 7418, 547, 1585, 4610, 971, 607, 2257, 267, 2029 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1459, 538, 782, 10821, 5003, 17473, 607, 789, 616, 1272, 22766, 3457, 269, 1358, 1683, 2038, 7020, 540, 8673, 952, 5265, 5116, 2429, 519, 15335, 267, 2436, 998, 6007, 14617, 610, 2182, 342, 1600, 3457, 269, 3958, 267, 2348, 4977, 2338, 593, 519, 4527, 543, 10342, 540, 8673, 32302, 666, 1489, 9886, 3156, 610, 13668, 585, 2883, 6351, 269, 1635, 5329, 3950, 540, 562, 7572, 766, 543, 17351, 32302, 267, 649, 666, 849, 2697, 1761, 2042, 602, 2154, 2069, 610, 11268, 563, 27852, 3106, 543, 6604, 6208, 1058, 581, 13736, 1169, 1554, 269, 898, 568, 2629, 547, 13599, 2043, 593, 3595, 3106, 693, 1169, 4316, 267, 711, 1175, 1282, 9605, 10644, 10432, 269, 4634, 513, 2110, 476, 276, 268, 1015, 8792, 3872, 8400, 666, 979, 513, 1279, 1259, 538, 5009, 3595, 3106, 269, 2913, 779, 4225, 2792, 267, 12319, 267, 543, 2069, 547, 2327, 519, 3106, 540, 938, 2950, 269, 13773, 2922, 2336, 23087, 281, 13891, 6064, 532, 8771, 1325, 15767, 281, 2598, 335, 2454, 519, 19088, 454, 31636, 568, 1883, 538, 938, 3232, 2729, 267, 855, 3006, 972, 568, 513, 968, 325, 19691, 547, 5968, 1848, 769, 1931, 547, 2057, 10539, 267, 649, 1058, 3247, 1210, 519, 2165, 968, 32401, 32302, 892, 950, 13288, 547, 8673, 18785, 1437, 725, 3361, 676, 11477, 32657, 2355, 610, 3765, 2151, 31773, 2043, 269, 1452, 3457, 616, 3257, 741, 2816, 543, 1058, 581, 5219, 547, 607, 562, 7572, 766, 610, 17351, 32302, 3079, 269, 898, 568, 1271, 547, 13599, 543, 12189, 7485, 10473, 547, 2569, 891, 2010, 540, 6114, 269, 3958, 267, 649, 991, 547, 3561, 950, 606, 5003, 3599, 1281, 711, 723, 2324, 8673, 32302, 543, 1832, 3950, 540, 562, 7572, 766, 543, 17351, 32302, 547, 2697, 1761, 2042, 269, 3911, 5803, 32302, 616, 1898, 538, 10821, 5003, 17473, 607, 789, 1683, 2038, 7020, 543, 666, 1489, 519, 991, 585, 2883, 6351, 269, 4065, 593, 3595, 3106, 1058, 581, 5571, 543, 711, 3908, 547, 9605, 10644, 10432, 269, 13773, 2922, 2336, 21761, 18542, 5999, 912, 26524, 543, 12226, 827, 8771, 1325, 15767, 454, 304, 281, 1548, 616, 7301, 32302, 888, 288, 281, 8771, 32302, 3277, 547, 3871, 1141, 513, 3354, 1062, 610, 15372, 1062, 568, 15427, 1510, 513, 9758, 3463, 610, 6595, 269, 1452, 3871, 666, 581, 3361, 676, 1585, 2188, 971, 607, 3593, 5470, 267, 3937, 29840, 267, 610, 2825, 2175, 563, 304, 281, 4208, 798, 7301, 32302, 2049, 888, 288, 281, 8771, 32302, 666, 2049, 1813, 547, 513, 2039, 540, 4128, 267, 1519, 1480, 5470, 267, 16283, 3593, 2866, 267, 1062, 23659, 17313, 267, 25768, 3937, 267, 543, 5007, 2188, 899, 10130, 267, 4365, 2175, 267, 610, 1256, 10978, 21089, 269, 898, 779, 1271, 547, 2232, 519, 3123, 540, 7301, 32302, 547, 7413, 741, 12136, 563, 304, 281, 1215, 798, 7301, 32302, 1860, 6595, 2533, 888, 288, 281, 8771, 32302, 723, 513, 1713, 1764, 593, 6595, 2533, 269, 1879, 606, 15372, 1062, 12153, 513, 7301, 15372, 267, 621, 11651, 1206, 3407, 2200, 543, 812, 12741, 547, 8495, 519, 3510, 267, 799, 1223, 723, 1044, 1031, 585, 9758, 18002, 269, 901, 5012, 547, 17799, 538, 3210, 2053, 585, 1483, 18002, 543, 12662, 2729, 543, 3601, 693, 1981, 563, 304, 281, 2052, 7301, 32302, 723, 1022, 3656, 4539, 888, 288, 281, 8786, 267, 7301, 32302, 666, 723, 3656, 4539, 4470, 593, 2199, 6042, 543, 4031, 269, 3509, 22875, 20818, 22717, 610, 20507, 585, 7050, 7301, 32302, 547, 25339, 741, 12136, 543, 3895, 3743, 946, 540, 15372, 1949, 269, 898, 779, 1271, 547, 24559, 3054, 609, 2199, 6042, 3823, 7301, 32302, 547, 2057, 1022, 3656, 29854, 563, 304, 281, 1215, 666, 7301, 32302, 581, 15286, 888, 288, 281, 16473, 532, 7301, 32302, 3322, 513, 4999, 540, 3593, 2069, 267, 2834, 5826, 540, 15372, 1949, 267, 543, 1697, 1062, 12122, 269, 20305, 1058, 581, 5432, 1242, 609, 519, 5106, 540, 519, 15372, 1062, 547, 7413, 23139, 1437, 725, 269, 8617, 5826, 543, 24422, 948, 2697, 543, 2232, 1022, 1062, 23659, 17313, 610, 7301, 15372, 12153, 269, 3958, 267, 14577, 8417, 5468, 543, 6220, 4066, 899, 5163, 22572, 666, 2569, 7301, 32302, 3361, 676, 5007, 2188, 563, 304, 281, 3657, 972, 1022, 3790, 2404, 609, 7301, 32302, 888, 288, 281, 8786, 267, 7301, 32302, 666, 1267, 538, 2883, 3790, 585, 1312, 2043, 543, 3906, 269, 769, 1840, 547, 1761, 22717, 13684, 676, 8128, 267, 7301, 32302, 2014, 2530, 540, 7607, 267, 2799, 6142, 14167, 338, 267, 543, 1761, 3441, 547, 10639, 269, 898, 568, 2629, 547, 1902, 538, 6325, 15372, 1949, 267, 1697, 2866, 267, 543, 2834, 5826, 547, 2057, 11991, 3790, 2404, 609, 7301, 32302, 563, 304, 281, 1215, 666, 15372, 1062, 3755, 2087, 741, 1620, 540, 7301, 32302, 888, 288, 281, 1325, 1301, 1062, 3755, 666, 3986, 741, 1620, 540, 7301, 32302, 998, 2069, 543, 2866, 269, 1325, 1301, 3549, 610, 3354, 4648, 666, 1683, 14292, 2326, 267, 4808, 267, 543, 23405, 593, 519, 1697, 946, 540, 15372, 1949, 269, 3958, 267, 9363, 8242, 609, 519, 5767, 4066, 267, 6042, 267, 543, 1655, 2853, 666, 948, 3755, 1118, 5483, 3664, 543, 2057, 7301, 32302, 563, 3528, 3246, 13181, 543, 3015, 1543, 267, 649, 2832, 547, 12172, 20887, 4478, 7301, 32302, 543, 16491, 3755, 609, 519, 1702, 2556, 547, 2061, 873, 269, 5457, 267, 2921, 14942, 3800, 547, 7413, 7301, 32302, 711, 1152, 8992, 3354, 855, 849, 5849, 513, 811, 3608, 6595, 3210, 1062, 269, 0, 5327, 1068, 2305, 1107, 1141, 2244, 9714, 525, 267, 3587, 25545, 543, 19380, 922, 12680, 1107, 568, 1631, 7133, 811, 982, 476, 10602, 829, 1298, 540, 31322, 779, 2698, 2244, 8513, 269, 8693, 1689, 543, 1480, 2534, 616, 1312, 547, 16620, 543, 519, 3510, 814, 3978, 6286, 585, 519, 2729, 540, 9930, 19631, 1200, 10249, 607, 1134, 607, 519, 4182, 779, 1426, 543, 1216, 3354, 563, 28606, 17067, 713, 1032, 267, 519, 2197, 779, 7022, 9487, 327, 3534, 320, 10609, 675, 3149, 4157, 327, 13166, 9250, 519, 2290, 9291, 542, 10326, 3350, 267, 606, 16529, 1544, 547, 9258, 519, 29287, 3262, 540, 519, 717, 11893, 563, 300, 784, 16288, 6663, 547, 3035, 519, 3077, 676, 476, 10711, 271, 267, 607, 851, 540, 922, 19647, 547, 519, 2136, 8315, 12655, 4886, 17644, 269, 15316, 15314, 786, 5000, 811, 1004, 267, 607, 1134, 607, 5599, 3549, 543, 14078, 267, 547, 581, 3238, 563, 763, 11662, 540, 3331, 500, 19282, 7238, 326, 990, 328, 814, 26823, 3022, 547, 2030, 476, 3583, 2929, 4054, 543, 1683, 2883, 15004, 547, 2043, 585, 4509, 1007, 4054, 538, 519, 1858, 269, 7981, 1235, 972, 723, 11280, 476, 12010, 267, 1822, 688, 540, 2244, 585, 4104, 566, 563, 6097, 547, 2916, 3744, 267, 519, 2856, 814, 2178, 26350, 269, 769, 513, 2027, 5758, 676, 519, 3955, 32744, 19937, 593, 8693, 7827, 630, 7709, 6717, 264, 5950, 538, 476, 1001, 280, 267, 621, 729, 4080, 602, 968, 333, 894, 543, 824, 2916, 14388, 3529, 2249, 609, 1970, 1216, 2115, 267, 666, 2569, 5070, 15420, 267, 513, 3200, 2842, 11761, 267, 543, 3565, 547, 3327, 29826, 267, 1247, 5355, 2890, 12641, 23660, 267, 3037, 5567, 543, 1216, 12802, 6100, 0, 18719, 1324, 1569, 547, 2922, 1216, 2959, 454, 2171, 1683, 2533, 547, 519, 2950, 547, 2087, 519, 1072, 543, 6668, 540, 519, 1034, 7925, 1453, 267, 607, 1134, 607, 9176, 2021, 543, 8808, 11299, 563, 5978, 6887, 5721, 2146, 1072, 4600, 547, 13599, 11299, 267, 18971, 267, 543, 824, 15637, 827, 519, 2640, 540, 20418, 543, 4824, 6484, 547, 948, 9002, 543, 1762, 1453, 1332, 909, 2178, 543, 2635, 269, 25085, 532, 1004, 2713, 609, 9124, 547, 1569, 1072, 2533, 454, 2419, 5142, 25659, 7690, 2319, 2488, 5626, 1101, 5351, 538, 18002, 267, 2709, 2790, 1072, 5646, 18522, 267, 1683, 2021, 543, 1453, 609, 9124, 2922, 5624, 547, 1265, 9350, 267, 1404, 267, 6125, 267, 543, 2911, 827, 2352, 2152, 267, 543, 948, 1004, 547, 1020, 12003, 2994, 547, 4308, 609, 2790, 1072, 2591, 563, 2171, 1683, 2930, 6791, 543, 1489, 547, 7794, 2146, 1072, 1949, 267, 4543, 547, 10244, 543, 1628, 2199, 4390, 269, 3776, 2832, 568, 547, 4483, 938, 1702, 267, 6445, 538, 10616, 538, 7727, 267, 960, 538, 11450, 609, 2950, 543, 2199, 6608, 267, 543, 2087, 2199, 1072, 543, 6484, 2533, 547, 2327, 4264, 1764, 563, 5978, 1382, 1193, 1161, 547, 4688, 811, 1453, 779, 2729, 1519, 1346, 2713, 609, 9124, 676, 5355, 543, 3384, 1007, 4485, 547, 7303, 543, 8156, 22926, 563, 3383, 1454, 540, 519, 1158, 781, 6710, 543, 7092, 949, 581, 14360, 1394, 547, 4057, 1072, 269, 5272, 1272, 23119, 950, 2950, 3668, 6190, 1426, 267, 7048, 593, 13572, 1216, 2959, 267, 610, 3668, 1569, 547, 4096, 762, 2564, 1416, 563, 763, 2367, 267, 2021, 267, 543, 1453, 596, 948, 721, 4196, 782, 2066, 2950, 1142, 1554, 949, 4096, 593, 721, 547, 1265, 4264, 3435, 547, 3986, 1569, 547, 1426, 267, 2973, 1216, 267, 543, 1072, 2200, 563, 2419, 5142, 25659, 7690, 5234, 5870, 1004, 609, 4744, 3809, 538, 645, 8123, 516, 516, 563, 5978, 1072, 666, 581, 4299, 676, 3592, 782, 3344, 540, 938, 2729, 563, 2080, 616, 1175, 930, 540, 519, 2081, 547, 948, 1628, 8902, 2729, 585, 1346, 649, 4196, 281, 0, 305, 18636, 773, 808, 4883, 1695, 281, 634, 19716, 5808, 853, 797, 4347, 5050, 454, 268, 8191, 281, 15223, 611, 590, 269, 16679, 267, 30960, 590, 269, 16679, 454, 268, 21629, 281, 31919, 454, 268, 9768, 281, 476, 7818, 6187, 278, 27947, 4343, 278, 279, 454, 12441, 15011, 13758, 18498, 808, 4883, 1695, 781, 7385, 267, 681, 18636, 773, 267, 1764, 519, 5137, 540, 9031, 286, 9894, 1352, 723, 513, 2022, 21065, 748, 3310, 593, 9031, 781, 1135, 640, 286, 6496, 1200, 9371, 1869, 1860, 21475, 6261, 752, 1894, 888, 305, 18636, 773, 808, 4883, 1695, 729, 513, 18979, 28929, 538, 1200, 1378, 1318, 543, 513, 14942, 2797, 13959, 547, 1200, 9393, 269, 4340, 547, 808, 4883, 1695, 781, 4207, 2797, 6205, 7203, 19390, 7236, 715, 4660, 340, 267, 681, 18636, 773, 729, 519, 1152, 835, 609, 7247, 646, 1223, 5963, 581, 5128, 269, 13518, 547, 519, 10982, 599, 540, 1200, 1920, 543, 519, 3474, 5408, 2146, 1352, 688, 6150, 689, 267, 1352, 1185, 513, 2648, 7365, 609, 808, 4883, 1695, 269, 1717, 267, 5103, 1200, 3768, 529, 1584, 539, 3310, 593, 1864, 267, 1352, 3788, 606, 896, 13231, 1221, 4137, 538, 1686, 563, 1607, 12667, 12092, 268, 1584, 1927, 936, 12964, 1296, 540, 1382, 267, 11042, 609, 12206, 267, 1920, 2818, 543, 17864, 540, 808, 4883, 1695, 781, 18939, 267, 543, 11564, 547, 1169, 1747, 2404, 609, 519, 7008, 538, 3127, 267, 9031, 543, 4789, 267, 2488, 606, 1651, 529, 633, 1413, 883, 681, 18636, 773, 781, 1272, 543, 9371, 267, 8744, 8521, 513, 3209, 543, 4195, 1620, 540, 808, 4883, 1695, 543, 519, 5191, 3350, 269, 0, 763, 29510, 15661, 2920, 630, 2464, 288, 264, 814, 11566, 1857, 1489, 267, 5103, 1373, 10599, 1229, 676, 7368, 2797, 6285, 269, 4340, 547, 513, 1007, 3084, 3542, 676, 570, 592, 24739, 3194, 267, 476, 3445, 2600, 540, 1977, 17037, 1489, 519, 957, 1765, 11069, 4809, 2164, 538, 606, 5736, 540, 851, 16388, 1193, 1057, 950, 621, 779, 2182, 547, 1205, 4892, 547, 3858, 593, 4376, 563, 763, 3542, 849, 7000, 602, 476, 6924, 2600, 540, 17037, 616, 811, 2693, 547, 8917, 585, 513, 4759, 540, 6837, 945, 7028, 2825, 28863, 899, 519, 30673, 267, 519, 11162, 5794, 2920, 543, 519, 11162, 4826, 2920, 269, 9578, 267, 5176, 1614, 21144, 2195, 540, 17037, 3494, 3664, 827, 799, 2249, 1058, 610, 1058, 711, 581, 6870, 896, 519, 30673, 1058, 581, 1500, 676, 772, 2529, 269, 12551, 543, 13812, 6796, 27563, 267, 711, 676, 6837, 563, 19013, 267, 930, 2818, 540, 6837, 616, 9117, 856, 540, 1900, 609, 519, 1977, 1857, 269, 18738, 519, 6821, 540, 519, 7167, 20738, 267, 519, 30673, 814, 2097, 896, 4323, 3842, 11786, 968, 5090, 619, 892, 7923, 547, 25181, 2561, 10187, 725, 645, 1571, 538, 519, 5600, 543, 14130, 269, 681, 11107, 616, 3773, 547, 12014, 5103, 2348, 2370, 4276, 547, 519, 12014, 685, 1641, 2339, 267, 543, 616, 513, 8671, 545, 547, 1780, 11786, 9086, 602, 1131, 711, 8011, 607, 513, 1796, 29671, 3915, 269, 769, 513, 6837, 602, 779, 2348, 8373, 17065, 4506, 856, 1022, 4990, 540, 9086, 267, 519, 25181, 2561, 10187, 725, 9291, 568, 513, 6305, 3077, 563, 305, 11107, 538, 519, 3490, 1257, 540, 519, 5600 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2852, 1053, 543, 593, 2852, 3786, 4926, 269, 769, 1249, 476, 3583, 260, 540, 2852, 1053, 945, 8673, 616, 6353, 607, 1514, 21596, 269, 274, 25003, 610, 29738, 1152, 950, 538, 513, 1895, 4259, 609, 2828, 610, 1152, 950, 2469, 856, 7933, 8667, 532, 568, 1869, 5906, 543, 5739, 547, 513, 1268, 781, 1072, 563, 763, 7887, 8594, 540, 1514, 7296, 568, 602, 621, 666, 3362, 1291, 547, 513, 15522, 8213, 543, 7296, 610, 29738, 811, 5781, 269, 275, 4033, 12178, 540, 968, 25791, 7296, 892, 616, 606, 2799, 1981, 585, 2295, 2068, 267, 5761, 543, 11563, 1644, 11871, 543, 7929, 5563, 269, 276, 454, 28808, 19263, 5853, 538, 661, 24294, 10577, 454, 2710, 596, 2731, 917, 1018, 596, 2811, 11375, 2718, 286, 4107, 552, 24294, 12076, 23238, 2270, 519, 1739, 5820, 281, 277, 454, 304, 3726, 1154, 29738, 949, 711, 581, 2653, 267, 538, 1249, 621, 949, 1491, 596, 2789, 13290, 547, 16718, 543, 602, 781, 15502, 269, 1703, 616, 1082, 2200, 856, 972, 547, 948, 596, 16718, 267, 891, 616, 1175, 513, 7008, 540, 16718, 6050, 596, 666, 946, 547, 4309, 1489, 547, 16718, 29738, 269, 2372, 527, 6050, 666, 1683, 1344, 267, 2626, 2055, 267, 2709, 513, 6947, 1274, 543, 811, 563, 31535, 930, 540, 519, 15639, 2589, 1354, 596, 1995, 873, 949, 948, 596, 581, 1732, 5423, 269, 12580, 949, 8445, 1369, 519, 1101, 3018, 543, 1376, 547, 979, 2476, 1310, 1152, 519, 1101, 3923, 269, 278, 2060, 9526, 531, 2589, 1331, 281, 279, 454, 268, 16842, 14031, 10774, 2426, 518, 454, 268, 10163, 16531, 543, 7411, 23622, 454, 268, 7054, 761, 1464, 543, 10845, 454, 268, 2271, 1619, 26351, 454, 292, 4211, 7837, 12076, 630, 528, 966, 12686, 264, 15733, 10439, 9218, 454, 24922, 7300, 609, 12383, 543, 1344, 827, 1114, 29738, 2472, 563, 13233, 4659, 540, 2657, 3896, 609, 2200, 585, 4896, 16462, 547, 16718, 7296, 610, 29738, 563, 15447, 519, 24093, 281, 661, 4211, 7837, 10577, 1299, 8479, 4658, 454, 308, 2529, 269, 4972, 540, 2657, 543, 5274, 7896, 3896, 609, 2200, 543, 1489, 547, 16718, 29738, 563, 304, 3726, 1467, 19578, 281, 11773, 12267, 454, 304, 3726, 1467, 19578, 2546, 609, 1967, 2984, 689, 4079, 945, 723, 16718, 10269, 563, 272, 4934, 19874, 540, 25016, 28864, 23105, 609, 519, 2422, 540, 661, 4211, 7837, 10577, 267, 610, 966, 12686, 267, 15733, 269, 15544, 585, 8376, 6513, 543, 10644, 563, 273, 19578, 8479, 16989, 11752, 269, 15544, 585, 4317, 543, 19884, 3194, 267, 2160, 540, 8832, 19578, 267, 476, 1001, 280, 563, 274, 18567, 540, 4317, 25003, 7324, 5441, 4841, 269, 2817, 7732, 540, 6925, 267, 476, 1001, 271, 563, 275, 4317, 7296, 1851, 2475, 2852, 1053, 269, 2817, 7732, 540, 6925, 267, 476, 1220, 275, 563, 276, 8752, 543, 1514, 7296, 4163, 9025, 4220, 269, 12370, 2657, 14539, 267, 476, 1001, 279, 563, 277, 966, 12686, 630, 292, 4211, 7837, 10577, 1070, 25350, 18669, 563, 278, 30047, 12832, 13534, 2060, 9526, 531, 543, 17832, 7970, 1879, 1411, 32341, 547, 2372, 527, 30926, 269, 2817, 9435, 4659, 563, 279, 966, 12686, 24251, 543, 12832, 13534, 2060, 9526, 531, 269, 3911, 5803, 16451, 10993, 563, 9336, 1032, 267, 476, 1691, 260, 540, 594, 578, 753, 786, 1995, 513, 1966, 1644, 547, 13989, 269, 272, 9046, 13989, 5540, 1082, 1004, 543, 949, 25409, 1860, 12322, 543, 1762, 4079, 269, 273, 454, 306, 7964, 13989, 568, 3226, 2442, 609, 2852, 1053, 910, 835, 3084, 1353, 274, 1336, 602, 476, 6858, 260, 540, 1053, 2713, 593, 13464, 1185, 15548, 538, 5026, 25919, 269, 14520, 2600, 540, 5619, 17013, 1185, 4503, 811, 982, 1269, 4335, 538, 513, 2582, 1554, 910, 513, 4806, 602, 666, 3648, 1764, 707, 2883, 6617, 563, 2252, 596, 1589, 596, 610, 2576, 596, 917, 949, 581, 7680, 1966, 13989, 5225, 3914, 856, 563, 29819, 540, 1966, 13989, 912, 4322, 2589, 666, 5815, 606, 3390, 609, 13989, 281, 275, 267, 273, 454, 268, 28214, 14221, 610, 1964, 1652, 950, 711, 13989, 454, 268, 1773, 5217, 5051, 1804, 914, 338, 454, 268, 700, 3539, 547, 2828, 543, 1920, 827, 519, 6708, 540, 707, 13989, 454, 268, 645, 6563, 532, 2724, 547, 2901, 13708, 1076, 610, 2628, 3724, 513, 7963, 689, 13989, 454, 268, 8347, 532, 855, 711, 1373, 2111, 547, 16718, 454, 268, 32438, 540, 11980, 454, 268, 25392, 22867, 606, 10363, 957, 547, 1205, 2724, 547, 13708, 1076, 454, 7312, 5020, 19578, 779, 2628, 719, 530, 19123, 13071, 596, 3442, 1018, 3014, 596, 1616, 547, 1404, 543, 875, 1454, 596, 1616, 547, 914, 269, 898, 786, 1287, 5173, 875, 1454, 596, 2811, 2469, 547, 6336, 593, 3328, 585, 1142, 914, 596, 1118, 269, 8437, 519, 3095, 547, 1294, 875, 1454, 596, 1223, 6336, 563, 31955, 26465, 525, 543, 9046, 32573, 1782, 454, 2005, 568, 1336, 602, 2875, 9845, 723, 513, 3152, 1981, 585, 3384, 2042, 1644, 547, 13989, 269, 11790, 602, 949, 3565, 547, 713, 616, 1978, 7209, 7592, 899, 1373, 3810, 8013, 543, 513, 991, 585, 10761, 267, 799, 616, 1455, 7592, 1851, 9845, 269, 273, 454, 10214, 1498, 519, 715, 7563, 288, 814, 19275, 782, 5686, 540, 5026, 13989, 585, 2875, 9845, 267, 1082, 9845, 3136, 547, 3442, 547, 4497, 538, 5026, 13989, 269, 769, 1249, 519, 715, 7563, 288, 1336, 602, 693, 2547, 476, 272, 538, 476, 275, 5256, 2875, 9845, 4080, 2502, 538, 5026, 25919, 269, 276, 454, 31955, 32573, 1782, 12700, 543, 10803, 454, 13233, 7027, 593, 9046, 32573, 1782, 7300, 609, 5013, 267, 9963, 4191, 543, 1981, 2188, 585, 13989, 538, 2852, 563, 17220, 4741, 585, 13786, 1043, 717, 5446, 781, 2852, 13989, 3896, 585, 1699, 543, 5133, 1053, 267, 13464, 16984, 267, 13464, 1072, 4648, 543, 3237, 547, 2232, 13989, 543, 13989, 5829, 28746, 593, 13464, 563, 19370, 32573, 1782, 2546, 454, 309, 650, 534, 13960, 2160, 2546, 609, 1344, 1966, 13989, 543, 1489, 3681, 585, 5275, 948, 563, 13233, 7027, 593, 9046, 32573, 1782, 454, 301, 9573, 294, 3896, 609, 3573, 1344, 593, 1966, 13989, 543, 5275, 1489, 563, 10666, 32573, 1782, 609, 2659, 5020, 19578, 454, 312, 299, 296, 2546, 609, 3877, 593, 13989, 267, 519, 6530, 3297, 13989, 267, 11775, 540, 13989, 267, 2360, 593, 519, 2634, 543, 811, 563, 272, 3657, 596, 610, 513, 6068, 835, 6849, 513, 1966, 609, 13989, 286, 2659, 5020, 19578, 563, 273, 5441, 32573, 1782, 12700, 543, 10803, 269, 2817, 7027, 593, 9046, 32573, 1782, 267, 2817, 7027, 593, 13786, 1043, 32573, 1782, 11555, 4338, 267, 543, 5441, 294, 3711, 1782, 3820, 563, 274, 18601, 11846, 25538, 1359, 269, 715, 7563, 288, 267, 476, 1708, 274, 563, 275, 2782, 940, 590, 902, 910, 32573, 1782, 267, 2659, 5020, 19578, 563, 276, 9650, 267, 10610, 543, 22505, 281, 32573, 1782, 1851, 2875, 9845, 269, 22505, 3163, 4659, 267, 715, 7563, 288, 563, 31955, 666, 581, 513, 2352, 942, 585, 930, 269, 898, 666, 581, 2653, 547, 1745, 9678, 543, 4805, 563, 6624, 1004, 616, 12936, 676, 4555, 540, 11980, 269, 769, 19578, 936, 476, 1240, 260, 540, 1762, 4079, 476, 1240, 268, 2190, 12943, 9811, 547, 7680, 3978, 4555, 540, 11980, 269, 272, 454, 2252, 596, 610, 2576, 596, 917, 568, 7680, 4555, 540, 11980, 596, 2811, 711, 4805, 269, 32438, 540, 11980, 666, 581, 5701, 269, 2659, 5020, 19578, 568, 1934, 547, 948, 596, 563, 5278, 821, 945, 568, 2348, 4555, 540, 11980, 949, 1995, 835, 610, 2789, 540, 891, 9963, 4191, 281, 273, 454, 268, 8682, 28104, 15684, 543, 11198, 532, 689, 2238, 267, 2828, 543, 1920, 454, 268, 29179, 2476, 28378, 543, 6031, 741, 1434, 2421, 525, 454, 268, 590, 11691, 1919, 971, 607, 968, 296, 6999, 594, 729, 2760, 4535, 892, 610, 968, 296, 6999, 594, 941, 4666, 7536, 268, 32695, 827, 11318, 2933, 454, 268, 18461, 902, 540, 27945, 1145, 454, 268, 28214, 899, 513, 11411, 547, 1866, 610, 602, 789, 723, 1100, 2601, 547, 2661, 454, 268, 17520, 543, 4965, 454, 268, 12619, 532, 1932, 1454, 610, 1932, 2370, 454, 268, 2806, 6748, 5061, 610, 4568, 454, 268, 654, 832, 2287, 540, 9344, 610, 1362, 20343, 454, 268, 18648, 9882, 610, 2242, 538, 2168, 5920, 454, 1692, 547, 2911, 547, 2576, 6236, 11980, 454, 22296, 8336, 568, 513, 2352, 1888, 543, 949, 1745, 13943, 547, 2911, 827, 693, 1101, 267, 855, 6158, 827, 11980, 17990, 2729, 563, 2252, 596, 2811, 711, 2386, 875, 547, 1376, 519, 6643, 267, 1934, 616, 930, 1919, 547, 798, 610, 2161, 950, 7234, 519, 1888, 540, 11980, 269, 274, 454, 268, 13979, 519, 1888, 9900, 676, 6998, 875, 519, 1367, 568, 3257, 269, 13185, 827, 1022, 7282, 5615, 596, 4312, 8068, 563, 268, 5269, 2386, 789, 917, 596, 616, 2921, 741, 4555, 12517, 676, 6998, 873, 5693, 543, 2047, 968, 17647, 596, 1044, 7680, 4555, 540, 11980, 18313, 268, 20644, 707, 1489, 543, 2285, 873, 707, 2407, 3007, 563, 268, 20644, 547, 3251, 609, 873, 543, 948, 873, 3346, 513, 6433, 1899, 610, 927, 680, 710, 899, 2659, 5020, 19578, 269, 1411, 666, 849, 1294, 952, 972, 616, 1022, 2200, 707, 6280, 3091, 593, 13464, 547, 948, 2043, 7680, 4555, 540, 11980, 563, 268, 2368, 1919, 10691, 547, 798, 950, 6158, 827, 11980, 568, 946, 2453, 899, 968, 2791, 2811, 711, 3206, 540, 3257, 1945, 25064, 267, 616, 596, 9495, 610, 968, 6701, 596, 3206, 540, 9292, 1154, 3054, 9495, 1452, 2453, 616, 711, 2312, 543, 949, 1118, 519, 1268, 1745, 607, 952, 741, 4555, 540, 11980, 616, 711, 1373, 3144, 12517, 563, 268, 8550, 9153, 547, 1832, 519, 1344, 5728, 269, 32438, 540, 11980, 616, 3978, 543, 513, 1268, 949, 991, 2126, 547, 1745, 1732, 269, 1403, 596, 14353, 2576, 949, 581, 7680, 4555, 540, 11980, 3914, 856, 267, 21645, 8263, 2576, 3116, 786, 563, 268, 1403, 596, 1589, 519, 1268, 568, 538, 7525, 8594, 540, 31362, 2933, 267, 798, 711, 4734, 873, 4805, 269, 13773, 609, 873, 543, 1205, 948, 5612, 269, 11910, 610, 10004, 609, 2659, 5020, 19578, 267, 610, 952, 621, 781, 606, 6595, 267, 1289, 476, 26605, 563, 268, 5269, 2386, 547, 2638, 538, 543, 1491, 1416, 540, 3054, 267, 607, 1134, 269, 7457, 2790, 1072, 7028, 952, 596, 1745, 789, 1131, 948, 596, 1310, 713, 1995, 563, 22296, 8336, 13809, 18984, 643, 832, 268, 1977, 5948, 540, 2672, 545, 573, 1108, 454, 288, 3008, 2546, 609, 2200, 585, 1004, 945, 723, 4503, 513, 6068, 835, 547, 11980, 563, 13563, 7690, 585, 2672, 8336, 10644, 454, 28425, 9915, 3896, 609, 1489, 585, 4555, 540, 11980, 267, 1920, 543, 2828, 267, 7855, 543, 811, 563, 15447, 519, 20050, 454, 12648, 11059, 585, 10076, 2657, 22411, 2546, 609, 9963, 4191, 267, 948, 585, 6158, 827, 11980, 267, 543, 1489, 585, 8757, 856, 563, 22296, 8336, 17607, 966, 7860, 540, 4065, 454, 13233, 3919, 2324, 547, 2061, 11980, 998, 1857, 4656, 267, 2069, 543, 607, 513, 4199, 585, 11980, 15000, 563, 24922, 2546, 593, 11980, 454, 28495, 619, 585, 8376, 6513, 543, 10644, 2546, 593, 11980, 563, 273, 11485, 2188, 267, 8825, 2188, 267, 543, 9963, 4191, 269, 1977, 7690, 585, 2672, 8336, 10644, 563, 274, 1403, 25126, 15681, 338, 1411, 1358, 2811, 15154, 6168, 2672, 8336, 267, 13185, 589, 3118, 519, 14730, 563, 12441, 596, 917, 602, 476, 4037, 260, 540, 2790, 10108, 2253, 676, 519, 2085, 540, 476, 2190, 269, 272, 901, 1797, 602, 1256, 952, 596, 4312, 2760, 4810, 513, 1966, 609, 707, 2790, 1072, 621, 781, 1869, 1271, 547, 917, 875, 547, 1416, 585, 621, 269, 5269, 2386, 547, 4225, 2921, 1416, 540, 707, 2790, 1072, 563, 1103, 19578, 267, 5176, 3368, 513, 2929, 4079, 723, 513, 2790, 1072, 2783, 269, 273, 1403, 596, 610, 2576, 596, 917, 568, 7680, 513, 2790, 1072, 6433, 1289, 267, 1257, 610, 10004, 609, 2659, 5020, 19578, 547, 2911, 547, 513, 8036, 3318, 563, 2791, 949, 1995, 811, 2566, 538, 2852, 7231, 609, 4081, 21500, 899, 9875, 5049, 267, 4255, 267, 543, 6780, 269, 4804, 547, 6330, 2713, 593, 707, 1378, 543, 1373, 4830, 585, 4440, 519, 1101, 942, 538, 707, 1272, 666, 581, 11566, 269, 28552, 2635, 12003, 6127, 666, 948, 596, 4308, 609, 519, 4948, 21500, 540, 2852, 1272, 563, 5278, 2566, 666, 2965, 581, 513, 1434, 3364, 855, 950, 2566, 3587, 11566, 543, 5312, 602, 781, 950, 621, 949, 581, 942, 547, 1491, 513, 2736, 543, 3343, 948, 269, 18320, 1454, 2566, 711, 1152, 5540, 707, 2790, 1134, 5630, 267, 855, 707 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2703, 340, 1606, 7685, 630, 1911, 266, 3606, 3764, 264, 585, 513, 1360, 1970, 5092, 269, 7427, 713, 3095, 547, 1265, 856, 811, 281, 4179, 2517, 4226, 269, 569, 4882, 6269, 677, 268, 1777, 822, 268, 1708, 271, 454, 18871, 14394, 1475, 10890, 1299, 6481, 2008, 16085, 27383, 1475, 31863, 910, 12474, 602, 568, 5078, 585, 6502, 476, 1626, 543, 936, 2008, 23219, 940, 910, 901, 3381, 20489, 707, 8417, 13283, 2336, 2414, 14962, 713, 9963, 543, 3136, 547, 4585, 519, 3381, 5225, 4945, 593, 519, 7735, 2630, 563, 9616, 910, 4201, 6955, 599, 814, 1044, 16981, 585, 713, 3381, 563, 1607, 29275, 814, 1044, 5697, 676, 519, 9779, 2419, 1393, 3760, 563, 3528, 11449, 543, 5924, 1210, 519, 5532, 1587, 596, 616, 4543, 547, 3382, 519, 3790, 540, 4881, 9779, 2419, 1393, 269, 9453, 519, 1489, 540, 519, 2146, 713, 3760, 786, 24044, 547, 2291, 563, 8802, 626, 1229, 3755, 666, 1904, 13050, 540, 8391, 10229, 3842, 519, 28497, 9184, 593, 741, 23994, 2985, 563, 2414, 948, 1489, 9779, 2419, 1393, 610, 1265, 856, 811, 827, 938, 17082, 1395, 564, 1436, 3609, 281, 0, 8702, 547, 938, 3896, 269, 590, 23852, 4959, 5357, 9569, 670, 26041, 19845, 27073, 5058, 910, 11545, 4245, 666, 581, 1336, 593, 519, 14268, 9184, 1315, 13044, 476, 866, 270, 8682, 10072, 4245, 269, 2353, 1344, 827, 13044, 476, 866, 543, 1565, 693, 1753, 666, 581, 1336, 896, 519, 14268, 9184, 563, 280, 281, 876, 993, 910, 25478, 20081, 574, 652, 1963, 630, 1789, 3764, 994, 1607, 3018, 781, 1445, 568, 519, 1079, 267, 2947, 543, 4557, 2053, 7515, 269, 13772, 519, 3381, 2630, 543, 6443, 538, 609, 519, 2947, 2053, 3349, 5152, 952, 596, 666, 563, 7312, 4116, 786, 723, 849, 1305, 713, 585, 596, 547, 26821, 593, 570, 15045, 1442, 560, 1513, 269, 8298, 593, 547, 707, 570, 15045, 1442, 560, 1513, 2272, 630, 20365, 27024, 543, 10957, 616, 538, 519, 1394, 540, 707, 2542, 2594, 264, 543, 946, 1412, 294, 541, 720, 262, 547, 26821, 563, 2791, 849, 723, 513, 14834, 3764, 6656, 547, 2347, 538, 707, 1753, 1565, 3640, 563, 280, 281, 1789, 993, 910, 13174, 454, 9213, 781, 13004, 3992, 786, 1445, 593, 17923, 1297, 7554, 547, 476, 736, 269, 13772, 7323, 7085, 541, 781, 7778, 540, 713, 543, 1287, 2347, 519, 2534, 538, 707, 1753, 1565, 3640, 563, 1015, 281, 1789, 993, 910, 16505, 454, 1015, 281, 2004, 993, 910, 2296, 454, 9213, 781, 2296, 3992, 786, 581, 513, 8239, 3992, 3168, 693, 1210, 862, 553, 547, 7157, 5309, 9822, 622, 8638, 269, 13772, 6004, 269, 25306, 781, 7778, 540, 713, 543, 1287, 2347, 519, 4976, 538, 707, 1753, 1565, 3640, 563, 1556, 281, 2004, 993, 910, 7335, 454, 8923, 1224, 2901, 707, 1153, 24665, 730, 24153, 1433, 610, 952, 596, 723, 8737, 602, 267, 2845, 593, 547, 645, 1872, 11833, 630, 6748, 519, 3095, 2630, 264, 543, 1224, 835, 540, 707, 9241, 21248, 2835, 689, 519, 1412, 3240, 8631, 262, 3296, 269, 2659, 27024, 543, 10957, 616, 538, 519, 1394, 540, 707, 2542, 2594, 269, 2659, 1153, 3009, 568, 1412, 11312, 331, 23823, 1321, 281, 1428, 10975, 910, 700, 4875, 454, 272, 281, 1428, 10681, 910, 18027, 22077, 3402, 9213, 779, 12784, 4245, 786, 581, 18027, 543, 3943, 269, 1411, 786, 991, 547, 2347, 476, 1789, 3764, 540, 1142, 269, 13772, 519, 18027, 609, 15608, 654, 6506, 3381, 2630, 543, 6443, 538, 693, 1753, 269, 3973, 267, 4585, 519, 3943, 3381, 547, 26821, 10203, 547, 476, 736, 538, 3943, 1354, 11264, 519, 1412, 10831, 2978, 2454, 538, 3943, 262, 543, 1412, 5415, 1297, 2978, 2454, 538, 3943, 262, 7317, 2238, 593, 519, 3095, 2630, 563, 273, 281, 1789, 10681, 910, 16952, 2296, 454, 2252, 596, 723, 8737, 782, 707, 824, 2238, 585, 519, 1554, 267, 5225, 2347, 519, 3606, 2296, 2534, 1210, 3854, 5022, 543, 2407, 13515, 7157, 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 ]
[ 3817, 994, 268, 589, 23240, 568, 513, 1268, 945, 19299, 7907, 602, 616, 538, 4334, 547, 519, 16502, 779, 269, 674, 334, 2812, 948, 519, 5467, 3914, 513, 4514, 1620, 540, 519, 1915, 676, 9236, 519, 1079, 269, 17283, 543, 1010, 9087, 2812, 4865, 1455, 4162, 799, 3565, 547, 27283, 741, 3604, 2417, 269, 17283, 31136, 8335, 982, 1866, 945, 616, 538, 2147, 3871, 543, 3982, 3344, 540, 1010, 1378, 7209, 1831, 10423, 607, 519, 1404, 4422, 593, 269, 1703, 616, 1082, 9087, 2812, 585, 17283, 945, 723, 1454, 538, 1455, 609, 1864, 267, 855, 519, 1079, 3197, 945, 723, 519, 1034, 538, 1455, 609, 519, 19036, 616, 10783, 514, 30944, 543, 5487, 1068, 525, 2807, 1496, 15912, 281, 16992, 538, 17283, 267, 17283, 267, 717, 1068, 337, 8775, 267, 918, 21135, 2639, 15171, 277, 1913, 630, 274, 269, 279, 3817, 994, 268, 10801, 519, 1650, 17283, 2854, 676, 5261, 9956, 267, 1141, 972, 568, 606, 27314, 2179, 540, 1469, 269, 17283, 568, 606, 9800, 543, 737, 10107, 1650, 827, 5275, 20947, 585, 1010, 4651, 269, 17283, 568, 513, 14952, 748, 1650, 602, 6770, 11980, 267, 1202, 534, 640, 267, 22876, 2858, 1588, 267, 543, 26878, 11047, 782, 883, 835, 269, 634, 2185, 6688, 616, 1305, 607, 519, 1650, 4249, 873, 856, 269, 3962, 835, 814, 741, 1378, 10761, 267, 29359, 267, 543, 7646, 3159, 269, 10801, 519, 10530, 2016, 267, 972, 568, 606, 7778, 540, 1946, 789, 941, 6074, 269, 634, 29047, 2501, 883, 1404, 2509, 519, 4098, 540, 519, 1650, 1282, 957, 476, 272, 2807, 1496, 15912, 281, 17283, 10749, 2639, 8660, 277, 1913, 630, 273, 269, 277, 3817, 994, 268, 968, 288, 13249, 16950, 568, 606, 5470, 610, 8919, 538, 519, 13249, 5869, 602, 5012, 547, 1010, 31774, 1848, 630, 10674, 2517, 4178, 269, 5523, 5112, 560, 27926, 1231, 2593, 15828, 3438, 1155, 270, 5523, 26569, 270, 6921, 27443, 4671, 21867, 264, 769, 519, 1686, 540, 3332, 267, 952, 519, 2243, 540, 945, 729, 519, 1034, 967, 1815, 529, 633, 1915, 729, 4547, 909, 267, 17283, 1131, 581, 513, 6305, 11134, 269, 17283, 1185, 3875, 8458, 547, 28231, 20947, 585, 1010, 4651, 779, 2669, 855, 729, 1152, 2111, 547, 1246, 998, 1310, 519, 23139, 12638, 540, 1010, 3993, 269, 17283, 779, 17418, 547, 1118, 513, 3375, 6038, 5012, 547, 1010, 27757, 267, 543, 585, 602, 568, 1010, 13249, 16950, 2807, 1496, 15912, 281, 17283, 267, 9956, 2639, 279, 5952, 1913, 630, 273, 269, 276, 3817, 994, 4537, 6832, 849, 1915, 3278, 17283, 676, 1210, 741, 3604, 269, 2290, 540, 519, 3604, 568, 741, 7881, 269, 1849, 320, 314, 340, 316, 323, 3780, 568, 585, 1849, 320, 314, 340, 316, 323, 3780, 543, 1100, 835, 3116, 269, 1261, 814, 4606, 585, 1100, 835, 855, 5128, 269, 1496, 9989, 333, 1405, 646, 723, 4606, 585, 717, 1068, 337, 8775, 286, 316, 17283, 30128, 827, 824, 779, 4606, 314, 267, 316, 543, 646, 568, 585, 519, 1004, 269, 1496, 18128, 2064, 286, 316, 1849, 320, 314, 340, 316, 323, 3780, 568, 9409, 314, 267, 316, 543, 17283, 568, 1434, 269, 1849, 611, 3780, 568, 9409, 1317, 646, 568, 3843, 547, 13587, 633, 3025, 267, 543, 1317, 646, 7166, 519, 4622, 269, 17283, 568, 1434, 1317, 646, 13290, 547, 2149, 543, 948, 1004, 630, 18034, 14956, 3559, 807, 1916, 1103, 519, 1079, 6045, 9087, 2812, 314, 267, 316, 9956, 6257, 17283, 779, 7209, 269, 3414, 19863, 3780, 543, 5487, 1068, 525, 685, 7209, 267, 835, 9060, 811, 856, 827, 17283, 269, 2290, 9060, 602, 17283, 779, 7209, 568, 1360, 1950, 269, 1261, 568, 513, 1360, 12391, 267, 5100, 543, 12703, 1268, 269, 901, 568, 519, 2601, 602, 9956, 1031, 5487, 1068, 525, 543, 1849, 611, 3780, 547, 4766, 17283, 269, 0, 3080, 540, 519, 7436, 540, 513, 1434, 3069, 568, 538, 519, 2179, 540, 1382, 621, 22262, 267, 543, 1369, 713, 7355, 267, 13100, 27600, 781, 3069, 568, 5963, 1390, 269, 3509, 5215, 540, 1382, 2090, 2429, 519, 1158, 723, 1044, 3370, 538, 3621, 13746, 3823, 14639, 13100, 27600, 781, 6436, 540, 4719, 26381, 1108, 269, 769, 476, 3192, 275, 606, 5216, 31891, 1305, 540, 28094, 543, 16555, 26518, 936, 476, 274, 267, 4335, 2090, 269, 769, 519, 476, 1789, 1296, 2094, 1346, 12531, 7902, 267, 13100, 27600, 1014, 1382, 814, 4797, 267, 3226, 538, 519, 1858, 540, 519, 3498, 543, 10626, 540, 4719, 26381, 1108, 547, 519, 4610, 540, 2038, 6689, 2069, 267, 1519, 519, 11601, 540, 13919, 269, 589, 5318, 1560, 540, 1382, 814, 818, 17470, 547, 1449, 13100, 27600, 781, 6436, 543, 6166, 610, 1201, 1393, 1010, 6811, 563, 763, 4098, 2875, 540, 13100, 27600, 814, 513, 18447, 4305, 538, 15849, 559, 908, 519, 1950, 3069, 540, 4719, 26381, 1108, 269, 898, 568, 606, 3606, 4161, 547, 10646, 519, 1034, 4143, 2090, 689, 1851, 519, 5215, 602, 723, 1044, 2944, 267, 543, 547, 1265, 1346, 22602, 4171, 2565, 960, 786, 2901, 19472, 267, 1201, 1393, 267, 610, 8831, 13100, 27600, 781, 4681, 538, 513, 1259, 602, 786, 2417, 519, 1620, 540, 519, 5169, 543, 2470, 540, 1702, 267, 543, 711, 1476, 895, 519, 3406, 563, 24078, 713, 2376, 5363, 286, 0, 281, 7831, 3888, 618, 5941, 15584, 21780, 1564, 810, 18255, 267, 15819, 2436, 646, 729, 782, 602, 4143, 547, 519, 30222, 543, 16712, 1436, 540, 513, 1713, 6712, 540, 3864, 4035, 787, 269, 2755, 646, 729, 513, 29810, 1589, 518, 543, 5856, 267, 621, 568, 2693, 602, 12206, 723, 11376, 730, 1010, 3310, 269, 1717, 267, 1256, 952, 1010, 16809, 729, 711, 3226, 26374, 267, 1010, 1268, 320, 729, 269, 634, 3239, 540, 513, 554, 730, 4035, 10024, 519, 554, 9994, 539, 31508, 540, 2362, 2069, 267, 8570, 333, 984, 6883, 609, 19174, 543, 15806, 267, 729, 267, 1018, 649, 1572, 267, 513, 6822, 10631, 633, 2856, 563, 265, 2608, 2608, 2608, 27661, 4407, 21780, 1564, 810, 18255, 949, 723, 15427, 519, 6014, 9345, 267, 476, 1240, 628, 543, 476, 866, 628, 2540, 9086, 15427, 519, 6014, 4641, 563, 288, 966, 2940, 518, 540, 24729, 3130, 454, 4407, 519, 4035, 267, 607, 649, 5941, 267, 729, 513, 2847, 6150, 543, 12790, 7209, 585, 5176, 513, 8536, 1296, 540, 3864, 1686, 267, 1641, 547, 519, 627, 15501, 543, 1698, 4631, 540, 519, 6237, 1379, 610, 519, 2199, 4254, 267, 10393, 267, 609, 519, 3735, 476, 1240, 628, 2540, 267, 513, 1007, 4641, 546, 1177, 985, 563, 10955, 1112, 338, 540, 24729, 3130, 30908, 998, 5375, 543, 6239, 2342, 538, 519, 476, 1240, 628, 2540, 267, 7444, 9427, 9993, 602, 1185, 1279, 9678, 519, 4035, 269, 630, 8923, 4063, 602, 1247, 594, 3717, 540, 968, 1492, 4035, 892, 610, 968, 1492, 6014, 2146, 2223, 594, 993, 1152, 13288, 547, 519, 16712, 1944, 12415, 540, 713, 2551, 269, 1306, 5892, 5941, 267, 1804, 2220, 23411, 540, 8149, 4035, 787, 7283, 18979, 569, 3909, 538, 519, 3068, 540, 891, 3209, 2591, 267, 513, 1376, 1782, 7613, 950, 6236, 875, 3532, 519, 4229, 540, 21939, 543, 7503, 941, 8094, 306, 19488, 646, 12374, 7127, 547, 6280, 267, 22825, 1279, 6806, 547, 1864, 616, 1930, 267, 519, 575, 2867, 1729, 6821, 2253, 547, 12152, 1076, 267, 4035, 9204, 616, 6569, 267, 543, 2804, 543, 2797, 6617, 616, 6905, 547, 1864, 563, 2005, 568, 513, 1007, 1158, 585, 519, 2025, 4035, 563, 5319, 13874, 3206, 9927, 3864, 3206, 269, 589, 2486, 3710, 2390, 10178, 520, 673, 543, 22530, 25875, 4978, 729, 5189, 547, 513, 7787, 2861, 1935, 547, 12497, 1944, 519, 1158, 269, 2755, 519, 3621, 1505, 949, 723, 8476, 519, 1259, 19174, 2219, 827, 519, 2067, 1158, 538, 519, 476, 1704, 628, 2540, 267, 621, 8476, 519, 1259, 789, 2219, 827, 519, 1480, 1158, 538, 519, 476, 1240, 628, 269, 16792, 16012, 2418, 540, 6297, 1353, 543, 2601, 547, 1514, 2055, 267, 2035, 899, 1367, 1143, 543, 1480, 1871, 3459, 547, 10836, 563, 8245, 6714, 3585, 267, 2463, 585, 717, 1673, 267, 2245, 267, 543, 4984, 3459, 922, 7771, 563, 2005, 15991, 2115, 6031, 875, 2212, 344, 267, 875, 883, 13877, 908, 267, 875, 19249, 267, 713, 4641, 729, 585, 519, 4035, 945, 1185, 1044, 5806, 3990, 1996, 593, 1169, 1377, 540, 2486, 585, 5176, 513, 26992, 269, 898, 15991, 2115, 6031, 602, 952, 1022, 540, 721, 941, 28280, 609, 971, 10565, 1689, 267, 519, 2702, 547, 2226, 938, 11466, 538, 513, 13497, 13346, 1158, 1131, 581, 267, 693, 1655, 267, 3810, 19847, 563, 4517, 2943, 267, 21481, 729, 711, 5963, 24084, 2989, 269, 898, 1869, 3771, 321, 1819, 513, 16994, 32659, 585, 519, 4035, 267, 513, 2620, 22166, 563, 10214, 1346, 945, 4050, 2740, 543, 21892, 519, 1863, 532, 9086, 1500, 741, 27742, 2312, 269, 14890, 9478, 4083, 540, 15212, 779, 3798, 1112, 540, 24729, 3130, 630, 9965, 273, 264, 729, 3288, 24231, 543, 25343, 267, 543, 1869, 267, 646, 7150, 267, 968, 1492, 1152, 2601, 585, 519, 1163, 13955, 540, 519, 7642, 568, 602, 789, 616, 711, 10271, 282, 547, 803, 789, 616, 1480, 7919, 267, 6800, 267, 543, 27710, 16558, 267, 543, 18867, 3730, 267, 952, 5265, 6854, 538, 2638, 1848, 901, 3351, 9107, 30254, 585, 31414, 540, 519, 7642, 568, 711, 16613, 538, 519, 27742, 540, 519, 5736, 269, 630, 9616, 281, 519, 2262, 31414, 729, 711, 2965, 1031, 538, 4704, 547, 519, 7642, 8094, 4002, 513, 811, 1202, 573, 1190, 1377, 267, 19167, 13974, 8179, 547, 1863, 543, 11753, 519, 6014, 2551, 267, 19424, 532, 513, 5318, 267, 8087, 10504, 799, 2838, 519, 21939, 540, 3864, 4035, 787, 267, 538, 1018, 15887, 6798, 645, 699, 331, 1284, 514, 7125, 968, 320, 22480, 3803, 3070, 1848, 634, 14890, 7150, 267, 968, 2005, 3217, 8467, 547, 29677, 519, 7642, 856, 540, 519, 2197, 282, 621, 3217, 4222, 547, 15849, 30968, 873, 1848, 630, 27860, 1227, 267, 538, 1010, 4674, 547, 11753, 519, 4035, 267, 19167, 19632, 519, 23769, 5842, 1117, 12541, 267, 799, 2840, 339, 1117, 519, 7708, 701, 540, 519, 4035, 543, 1010, 5728, 7239, 602, 3343, 547, 1852, 519, 1158, 8094, 297, 24944, 4083, 543, 19167, 21656, 519, 1034, 1649, 5271, 565, 550, 4528, 540, 7109, 566, 269, 2201, 602, 8552, 540, 24084, 2989, 17024, 267, 7109, 566, 3357, 561, 3166, 609, 17351, 23998, 267, 519, 1482, 23998, 11423, 519, 9817, 540, 2025, 1922, 5831, 539, 3401, 267, 9410, 13162, 267, 30544, 543, 1772, 629, 7578, 2507, 1152, 1631, 621, 729, 27972, 8898, 538, 1945, 1007, 563, 763, 31472, 776, 7982, 31988, 454, 5319, 13874, 3206, 7620, 9863, 606, 28842, 1466, 585, 4550, 4149, 655, 2572, 563, 1692, 547, 20496, 519, 4035, 950, 646, 729, 703, 11217, 762, 888, 13295, 21654, 1705, 711, 5963, 1331, 519, 4035, 269, 898, 6854, 1864, 21915, 531, 1944, 569, 2673, 267, 2943, 19315, 865, 2484, 269, 2060, 1142, 4062, 540, 26602, 760, 908, 9086, 3357, 5114, 776, 16555, 267, 9963, 2486, 540, 519, 4035, 267, 5248, 908, 519, 4035, 267, 543, 22348, 1864, 540, 1010, 7938, 2180, 1465, 563, 22818, 5292, 3279, 790, 779, 4583, 1521, 1047, 267, 11331, 968, 297, 31974, 2223, 1281, 519, 1655, 2816, 540, 1915, 1944, 713, 7678, 540, 26997, 267, 12804, 10262, 2173, 582, 17300, 7109, 566, 267, 513, 7109, 566, 602, 3357, 609, 606, 15859, 783, 2847, 13955, 563, 24685, 2110, 267, 649, 1265, 538, 873, 1152, 606, 17399, 656, 543, 3046, 8663, 748, 1004, 267, 945, 723, 1279, 8087, 519, 1034, 521, 867, 573, 1285, 541, 823, 609, 519, 1034, 1033, 652, 762, 22530, 819, 543, 519, 1034, 1045, 4532, 1043, 23998, 585, 1169, 1004, 676, 7247, 789, 616, 7109, 730, 543, 23353, 269, 12846, 267, 649, 11129, 711, 547, 6633, 873, 3034, 4517, 2943, 267, 713, 24813, 7544, 267, 540, 835, 1900, 6251, 267, 835, 1900, 2417, 267, 8604, 547, 979, 611, 930, 2818, 540, 519, 6014, 2146, 267, 536, 7159, 543, 4482, 873, 2864, 982, 7903, 873, 2476, 543, 9813, 622, 873, 563, 763, 12238, 660, 2280, 729, 16207, 1524, 269, 634, 25197, 566, 602, 513, 4035, 1223, 2760, 3035, 9543, 2006, 569, 7207, 543, 8425, 850, 22717, 572, 1008, 12097, 873, 269, 634, 29943, 602, 513, 4035, 543, 32742, 941, 3404, 2096, 528, 4577, 267, 602, 519, 4035, 1223, 2760, 581, 513, 3020, 4436, 610, 3943, 2006, 267, 3413, 1258, 1540, 873, 563, 306, 19488, 519, 4035, 568, 8389, 2251, 547, 6961, 1010, 4502, 267, 547, 6542, 1010, 9543, 2006, 569, 7207, 267, 1010, 8425, 850, 22717, 572, 267, 1010 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 946, 519, 2953, 18685, 538, 741, 1603, 676, 3246, 873, 609, 891, 2312, 543, 13801, 18685, 1433, 12201, 269, 634, 1433, 12201, 1683, 2241, 23106, 827, 950, 547, 946, 519, 1739, 18685, 7436, 912, 268, 2243, 7436, 454, 268, 608, 17474, 2798, 454, 8196, 519, 6749, 16365, 10624, 547, 2824, 513, 1433, 5658, 609, 13761, 610, 31250, 10833, 269, 0, 294, 529, 16279, 2961, 3626, 568, 606, 14861, 710, 2797, 10196, 543, 8689, 540, 4139, 1773, 10165, 623, 13873, 11856, 5375, 25955, 563, 763, 2592, 540, 9937, 540, 5215, 540, 2021, 856, 593, 519, 10754, 538, 7184, 7826, 18335, 267, 795, 889, 559, 14688, 14120, 519, 1876, 5293, 2063, 3018, 602, 1232, 17964, 3278, 16377, 998, 519, 476, 1691, 628, 3018, 540, 6379, 267, 3100, 547, 723, 9575, 519, 1158, 676, 9983, 269, 1809, 602, 856, 335, 28666, 2306, 2631, 538, 519, 2796, 540, 18335, 779, 15594, 3350, 267, 799, 267, 936, 519, 1576, 540, 476, 1724, 3915, 18747, 543, 476, 1240, 1296, 540, 6560, 1996, 15061, 3909, 544, 2803, 267, 814, 30174, 547, 1205, 519, 15424, 7521, 896, 1259, 269, 18335, 568, 1631, 519, 8772, 2197, 538, 5824, 3013, 547, 3656, 1125, 16377, 267, 1739, 772, 2607, 340, 599, 267, 18010, 543, 24053, 3570, 563, 1103, 1880, 267, 519, 968, 16675, 23027, 892, 1107, 3957, 1310, 519, 3039, 1688, 12027, 27815, 602, 814, 1831, 519, 10167, 531, 3350, 779, 796, 1746, 3090, 267, 799, 729, 3294, 6273, 676, 519, 5958, 12816, 5756, 3516, 676, 519, 11299, 543, 20516, 338, 540, 519, 1773, 18054, 632, 25832, 945, 22646, 585, 1453, 543, 6264, 18244, 945, 1185, 1044, 7166, 693, 519, 3946, 540, 519, 15194, 4108, 28983, 1222, 1107, 814, 1831, 513, 3196, 538, 2487, 1296, 269, 769, 476, 1001, 279, 267, 519, 5682, 23027, 19430, 18335, 779, 2229, 547, 15974, 9086, 1232, 17964, 1944, 16377, 267, 1498, 621, 1131, 979, 593, 547, 581, 17204, 676, 513, 28489, 14345, 538, 519, 14130, 269, 1809, 594, 3314, 588, 13764, 998, 11370, 523, 657, 589, 2231, 538, 519, 1647, 540, 602, 3781, 267, 6616, 609, 22979, 602, 1256, 952, 16377, 22821, 1406, 1044, 1232, 17964, 1242, 538, 519, 14618, 267, 621, 1185, 1044, 538, 519, 8186, 540, 1082, 538, 519, 10754, 563, 3080, 1032, 2663, 267, 14861, 710, 5518, 19499, 1729, 22513, 663, 14162, 3773, 519, 3390, 547, 1010, 1592, 540, 5859, 14767, 267, 543, 519, 6963, 729, 13604, 7745, 883, 1079, 15424, 18747, 281, 519, 968, 1320, 748, 663, 4303, 4643, 2223, 799, 14014, 3993, 3125, 676, 14178, 1514, 20038, 585, 519, 1101, 476, 272, 267, 1822, 2395, 540, 513, 1126, 779, 1272, 267, 543, 519, 1232, 17964, 1436, 540, 16377, 563, 1607, 9740, 568, 2629, 267, 1317, 5824, 3013, 543, 519, 12144, 7803, 3278, 16377, 811, 982, 1022, 824, 3148, 538, 519, 1158, 269, 3371, 267, 2021, 5884, 689, 22247, 2853, 1282, 804, 663, 32347, 705, 25344, 267, 1247, 1762, 6690, 945, 616, 9601, 540, 3978, 4638, 5208, 616, 7142, 883, 3993, 3125, 269, 4438, 519, 5046, 268, 866, 6855, 267, 519, 3510, 814, 6738, 1256, 811, 10565, 282, 2021, 543, 6690, 616, 12758, 693, 1753, 267, 1141, 6469, 5208, 814, 24111, 543, 6608, 723, 2944, 2370, 547, 4431, 547, 741, 2115, 269, 8616, 649, 723, 1336, 4126, 538, 519, 5682, 23027, 1107, 4126, 602, 786, 711, 552, 6277, 2476, 1175, 1317, 16377, 814, 1044, 1232, 17964, 1242, 538, 18335, 269, 4033, 5824, 1977, 543, 12144, 2477, 1631, 3068, 519, 1279, 1554, 1310, 563, 5978, 1699, 6161, 568, 547, 2327, 602, 1857, 268, 8234, 2533, 2936, 519, 1876, 281, 2353, 2021, 543, 9176, 7606, 1590, 723, 3160, 4027, 896, 519, 1007, 9086, 267, 543, 713, 666, 1152, 581, 16798, 952, 16377, 2533, 616, 1863, 543, 8471, 269, 2311, 519, 1482, 942, 267, 649, 4126, 938, 703, 516, 3671, 7772, 786, 27721, 609, 519, 4187, 540, 824, 2021, 538, 519, 3148, 267, 1519, 538, 21896, 267, 6792, 267, 16266, 543, 8478, 267, 1141, 2021, 723, 849, 7550, 519, 3039, 1688, 12027, 27815, 563, 2690, 3236, 267, 538, 3210, 547, 18335, 779, 1007, 1876, 267, 8478, 779, 808, 1515, 12157, 5459, 16619, 17408, 9643, 602, 865, 1279, 607, 646, 3788, 5518, 267, 519, 2197, 1131, 711, 1232, 17964, 1125, 16377, 269, 2372, 924, 519, 14669, 267, 1010, 8247, 568, 547, 2417, 7803, 1125, 519, 2259, 547, 1331, 3871, 16109, 689, 22149, 610, 950, 513, 4807, 779, 1272, 568, 693, 1981, 267, 799, 616, 4867, 17756, 896, 19384, 1876, 269, 1809, 646, 729, 6450, 4157, 539, 676, 2986, 20782, 22513, 663, 14162, 267, 519, 476, 736, 4458, 6040, 4759, 540, 519, 11370, 523, 657, 589, 2231, 4975, 22694, 1155, 945, 568, 519, 21836, 4807, 2479, 11221, 547, 1857, 5604, 538, 5824, 3013, 543, 519, 12144, 543, 513, 8250, 540, 519, 5682, 23027, 281, 968, 9617, 1390, 267, 713, 6644, 18864, 4280, 585, 267, 594, 2303, 596, 1810, 1406, 1205, 6899, 267, 1317, 519, 5824, 1977, 15594, 3196, 538, 8478, 568, 11836, 519, 30270, 936, 25795, 16279, 2223, 15516, 269, 22513, 663, 14162, 10294, 593, 12108, 267, 13288, 547, 519, 11318, 540, 19384, 22267, 25795, 16279, 30473, 538, 476, 1001, 279, 269, 968, 14187, 9939, 267, 713, 568, 1175, 3478, 3323, 3034, 288, 1007, 5108, 538, 5824, 1977, 6214, 568, 1373, 3989, 676, 15594, 2021, 543, 741, 4101, 540, 3043, 5256, 2797, 2278, 23540, 267, 513, 6561, 689, 938, 7810, 2250, 269, 898, 568, 1373, 3989, 676, 519, 4947, 2389, 6320, 540, 9620, 585, 2924, 602, 1185, 2899, 13234, 14384, 281, 2152, 1472, 16377, 2924, 267, 10168, 267, 6710, 267, 5208, 1996, 2021, 543, 4638, 4763, 563, 4517, 865, 938, 7772, 2501, 689, 513, 4090, 538, 1686, 950, 267, 609, 606, 14861, 710, 15352, 267, 16712, 1857, 2601, 814, 556, 11220, 18678, 267, 10018, 532, 2021, 779, 10285, 2924, 269, 3776, 7772, 568, 4535, 540, 4126, 1107, 519, 4126, 602, 649, 949, 835, 1554, 2661, 538, 513, 1158, 609, 1447, 15746, 267, 543, 835, 1454, 22928, 269, 15516, 269, 22513, 663, 14162, 568, 1318, 281, 901, 568, 1175, 3478, 3323, 563, 16605, 707, 25709, 687, 8325, 543, 5483, 269, 5192, 519, 32722, 20394, 269, 6178, 909, 2221, 269, 0, 303, 19948, 593, 6249, 281, 834, 10933, 296, 5308, 3041, 4959, 589, 9501, 4488, 24361, 11123, 300, 5508, 595, 21822, 667, 4353, 3041, 12778, 19294, 296, 5308, 3041, 4959, 715, 4488, 8577, 14473, 11123, 10323, 311, 308, 3201, 29187, 29767, 595, 5085, 11862, 667, 4353, 22432, 29375, 21201, 667, 7838, 5058, 19294, 296, 5308, 3041, 269, 1107, 6524, 32450, 6238, 267, 519, 1701, 1765, 19809, 13973, 912, 10933, 296, 5308, 3041, 4959, 589, 9501, 4488, 24361, 11123, 300, 5508, 595, 21822, 667, 4353, 3041, 12778, 19294, 296, 5308, 3041, 4959, 715, 4488, 8577, 14473, 11123, 10323, 311, 308, 3201, 29187, 29767, 595, 5085, 11862, 667, 4353, 22432, 29375, 21201, 667, 7838, 5058, 19294, 296, 5308, 3041, 269, 1107, 6524, 32450, 6238, 267, 519, 15954, 540, 519, 2385, 1591, 616, 23652, 269, 630, 810, 513, 1591, 4712, 547, 7941, 814, 7466, 607, 1082, 15954, 607, 8912, 264, 19294, 3041, 302, 3041, 1299, 20037, 5308, 3041, 667, 9281, 29052, 5442, 590, 26041, 29313, 18306, 19611, 654, 17751, 306, 454, 10345, 311, 308, 3201, 29187, 29767, 5274, 1560, 2281, 723, 476, 5379, 15954, 267, 922, 968, 10972, 30666, 892, 1297, 610, 476, 273, 333, 630, 1492, 2407, 1297, 540, 15954, 585, 519, 2249, 268, 519, 476, 273, 333, 585, 513, 4829, 8038, 568, 476, 279, 264, 717, 4456, 4953, 2464, 281, 2281, 609, 476, 16006, 519, 8912, 1297, 540, 15954, 630, 821, 689, 1142, 6292, 1040, 3657, 476, 272, 333, 610, 688, 30666, 2281, 630, 16303, 2281, 1040, 5274, 13708, 26347, 723, 476, 2537, 15954, 269, 661, 31769, 568, 13708, 23176, 4646, 538, 10285, 1418, 540, 513, 4775, 282, 9501, 2207, 300, 568, 13708, 23176, 4646, 538, 5256, 10285, 8219, 269, 674, 2207, 2316, 299, 22003, 9569, 281, 1184, 1141, 513, 14203, 630, 272, 333, 264, 543, 606, 4212, 630, 272, 333, 264, 9192, 547, 1106, 835, 1007, 1591, 630, 273, 333, 1916, 29189, 783, 3115, 3174, 769, 3425, 519, 4212, 814, 476, 2537, 15954, 267, 519, 14203, 849, 814, 476, 2537, 15954, 267, 543, 789, 1106, 513, 6992, 1242, 4212, 609, 476, 5379, 15954, 630, 1492, 9733, 1355, 1297, 610, 476, 273, 333, 1040, 19294, 296, 5308, 3041, 568, 513, 2027, 2186, 540, 1591, 6498, 602, 2306, 688, 30666, 630, 272, 333, 264, 2281, 269, 4438, 32450, 513, 2582, 1591, 630, 273, 333, 264, 4422, 998, 476, 273, 1591, 15523, 281, 32450, 594, 543, 32450, 4083, 269, 901, 1152, 4386, 538, 10285, 5160, 540, 606, 11248, 563, 273, 595, 21822, 667, 4353, 3041, 12778, 306, 6969, 32450, 5956, 267, 519, 15954, 540, 2385, 1591, 616, 23652, 630, 5793, 874, 848, 5148, 865, 7466, 607, 1082, 15954, 607, 3339, 630, 275, 333, 264, 2311, 519, 4098, 540, 32450, 594, 267, 519, 1591, 814, 476, 273, 12215, 540, 1142, 4630, 860, 269, 1452, 1205, 9674, 711, 2899, 267, 855, 7466, 1282, 32450, 547, 1118, 476, 275, 688, 30666, 630, 272, 333, 264, 2281, 269, 3962, 688, 30666, 1591, 814, 835, 6167, 5183, 7644, 3633, 1305, 540, 15954, 454, 9288, 22719, 594, 1160, 874, 848, 594, 281, 15954, 6292, 909, 609, 4891, 282, 476, 273, 5036, 540, 15694, 8424, 538, 2385, 1591, 1631, 630, 323, 12874, 1194, 4630, 860, 338, 610, 476, 275, 333, 264, 5450, 7469, 848, 594, 281, 1142, 1305, 540, 15694, 8424, 1899, 909, 2059, 4099, 540, 1591, 269, 1323, 7469, 848, 594, 281, 476, 273, 12215, 540, 835, 4630, 860, 616, 15504, 6306, 689, 476, 273, 12215, 540, 824, 4630, 860, 630, 1729, 6587, 7475, 540, 2385, 1591, 264, 901, 568, 1034, 2565, 942, 269, 20052, 2684, 848, 594, 281, 513, 1007, 1591, 9245, 3029, 693, 519, 4099, 540, 1591, 267, 12270, 2385, 1591, 883, 476, 273, 8250, 2281, 630, 26421, 476, 273, 333, 1631, 994, 9288, 22719, 4083, 1160, 874, 848, 4083, 281, 538, 1142, 8250, 1591, 616, 476, 273, 12215, 1142, 540, 562, 15954, 630, 273, 333, 264, 1869, 7923, 547, 1142, 824, 269, 5450, 7469, 848, 4083, 281, 15954, 1899, 909, 538, 4099, 540, 1591, 269, 1323, 7469, 848, 4083, 281, 519, 476, 273, 12215, 540, 1142, 15694, 5094, 1299, 7485, 547, 6587, 7475, 540, 519, 1591, 269, 20052, 2684, 848, 4083, 281, 1007, 1591, 9245, 3029, 538, 4099, 540, 1591, 267, 865, 1142, 1591, 17337, 883, 476, 273, 630, 272, 333, 264, 8250, 2281, 267, 1818, 513, 2698, 540, 476, 275, 630, 272, 333, 264, 2281, 269, 769, 3425, 630, 261, 824, 2249, 264, 1152, 476, 272, 540, 519, 476, 275, 8250, 2281, 1500, 676, 513, 4775, 3587, 606, 4212, 269, 634, 1964, 23271, 610, 616, 2760, 4646, 563, 9288, 22719, 1299, 14600, 2670, 5262, 518, 8307, 2281, 4742, 13708, 26347, 979, 998, 32450, 269, 2353, 824, 2281, 979, 998, 5378, 2670, 589, 1591, 12270, 676, 32450, 4422, 998, 476, 273, 1591, 15523, 267, 855, 15954, 5749, 1406, 23652, 1354, 519, 2034, 6498, 269, 769, 5378, 2670, 267, 15954, 616, 2141, 23652, 1354, 6498, 269, 2725, 1470, 529, 529, 8250, 2281, 616, 688, 30666, 630, 272, 333, 264, 543, 1152, 723, 476, 16006, 540, 2385, 2281, 4719, 1570, 267, 1247, 5378, 2670, 8250, 2281, 616, 9733, 1355, 630, 273, 333, 264, 543, 723, 4010, 519, 1482, 4719, 1570, 607, 519, 2385, 1591, 269, 0, 5591, 1382, 865, 2484, 5267, 602, 3109, 9044, 3123, 3978, 1072, 4145, 971, 607, 5761, 3676, 610, 2860, 269, 1717, 267, 4598, 547, 3109, 9044, 1281, 2014, 14331, 267, 513, 2196, 5500, 610, 17808, 9224, 267, 1928, 543, 31191, 267, 543, 1896, 824, 1072, 2152, 2523, 952, 596, 723, 11959, 269, 4706, 579, 6921, 1465, 1058, 711, 581, 519, 1152, 2601, 585, 17849, 513, 22768, 1753, 7738, 2754, 563, 2252, 2576, 538, 707, 1920, 568, 6213, 547, 9044, 267, 4598, 547, 3109, 9044, 949, 1020, 7929, 2589, 269, 11162, 707, 2777, 593, 513, 2834, 4493, 543, 1810, 1406, 1577, 7509, 14927, 523, 707, 6821, 543, 11647, 269, 1403, 3109, 15649, 540, 9044, 616, 2907, 972, 267, 1289, 513, 22768, 1753, 7738, 2754, 543, 1205, 7759, 540, 3109, 9044, 563, 3674, 4563, 27718, 667, 836, 2730, 454, 2026, 621, 13847, 1250, 20799, 2135, 1231, 267, 3109, 9044, 568, 849, 1634, 607, 6757, 9044, 269, 1403, 596, 616, 2713, 538, 513, 13572, 2679, 267, 1250, 20799, 2135, 1231, 666, 10460, 930, 3978, 1072, 4220, 269, 898, 949, 2014, 9044 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3384, 1007, 6694, 4066, 1384, 272, 269, 2825, 1764, 281, 519, 1646, 540, 1007, 6694, 4066, 2115, 547, 2015, 519, 1764, 593, 519, 1604, 269, 585, 1383, 267, 519, 946, 540, 13851, 543, 18168, 666, 723, 513, 2942, 1764, 593, 519, 1604, 676, 3542, 5024, 3037, 267, 1216, 543, 2011, 780, 273, 269, 6940, 281, 6694, 4066, 1058, 581, 4264, 267, 2495, 602, 789, 666, 581, 1031, 538, 519, 1279, 2165, 1510, 9714, 532, 519, 1604, 610, 4929, 2800, 547, 1480, 543, 3662, 1072, 780, 274, 269, 3662, 10304, 281, 519, 1646, 540, 1007, 6694, 4066, 1058, 849, 2015, 519, 1764, 593, 3662, 10304, 269, 585, 1383, 267, 4066, 602, 4125, 519, 946, 540, 4719, 14842, 610, 28295, 949, 6318, 5683, 4145, 827, 519, 10304, 540, 519, 2831, 3238, 780, 275, 269, 1426, 1760, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 2290, 13566, 1554, 267, 5484, 543, 1010, 8773, 3659, 12157, 339, 4956, 547, 1628, 1945, 9058, 269, 1358, 5249, 2182, 538, 5484, 781, 18147, 8774, 267, 11018, 2326, 543, 8380, 873, 1927, 269, 2991, 3108, 540, 512, 1074, 1359, 267, 789, 2813, 513, 3684, 602, 1223, 1689, 8723, 7641, 2982, 883, 3283, 827, 2257, 2439, 13051, 31113, 1572, 856, 547, 1010, 11078, 21667, 267, 945, 729, 4730, 7404, 267, 834, 290, 727, 1294, 1018, 649, 1500, 267, 21667, 10590, 21667, 10443, 936, 267, 8049, 543, 11235, 547, 1451, 269, 2701, 4280, 267, 834, 3719, 875, 1281, 621, 960, 286, 1548, 2306, 938, 2982, 2490, 883, 2257, 3292, 12482, 289, 1245, 20493, 543, 6045, 267, 834, 11039, 267, 21667, 267, 950, 596, 2046, 713, 7735, 1934, 267, 938, 3684, 18767, 519, 2011, 30335, 585, 6786, 8876, 8613, 2982, 269, 3973, 267, 621, 3096, 922, 3710, 2987, 2780, 2634, 547, 5372, 2834, 1543, 609, 4241, 5013, 543, 6901, 15323, 5445, 782, 14478, 607, 741, 5172, 20419, 9927, 1354, 741, 4064, 269, 16992, 5941, 8904, 267, 8444, 267, 543, 2230, 3408, 1247, 7900, 3579, 23405, 269, 898, 729, 6909, 256, 1717, 267, 1919, 3576, 606, 6397, 2490, 950, 519, 3684, 3323, 4657, 1169, 5365, 621, 1336, 1107, 1256, 1346, 9013, 6808, 8279, 543, 6413, 3937, 2439, 13051, 7691, 789, 2877, 547, 3247, 519, 14784, 5612, 269, 1261, 1767, 267, 834, 2171, 1590, 4001, 938, 5137, 547, 2463, 6302, 543, 1152, 12189, 1808, 9055, 1701, 2060, 948, 689, 21667, 543, 12157, 339, 267, 5484, 1065, 5766, 1090, 4364, 519, 3684, 547, 3970, 922, 7060, 19100, 269, 901, 1995, 6026, 873, 3407, 4245, 827, 1312, 2029, 543, 7881, 269, 6884, 267, 1256, 5863, 18563, 666, 2014, 8373, 952, 711, 1031, 20617, 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, 27087, 519, 1257, 11578, 689, 13680, 547, 3318, 563, 20756, 3025, 267, 2638, 856, 519, 1007, 1397, 2336, 294, 22901, 902, 782, 267, 24963, 1491, 513, 4090, 547, 2070, 519, 9241, 5950, 1982, 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, 6092, 5149, 281, 4197, 6355, 3690, 13905, 543, 13751, 2598, 1584, 525, 692, 8893, 281, 589, 6733, 883, 7464, 21509, 6355, 2598, 1584, 525, 281, 631, 6717, 11633, 19833, 15278, 5288, 269, 590, 338, 836, 344, 784, 15278, 692, 1103, 713, 3992, 267, 649, 786, 2263, 513, 1483, 3734, 3656, 15539, 1063, 1079, 3549, 910, 631, 6717, 11633, 19833, 15278, 543, 590, 338, 836, 344, 784, 15278, 269, 901, 2013, 8711, 875, 4213, 2170, 267, 2932, 8852, 267, 543, 3006, 3068, 22195, 602, 991, 547, 581, 17251, 676, 10470, 269, 1635, 1620, 713, 1184, 267, 596, 666, 5660, 519, 2956, 540, 2312, 2792, 267, 1697, 12319, 267, 543, 15984, 547, 11731, 538, 1022, 1870, 2078, 780, 4089, 476, 272, 281, 1215, 24371, 3955, 716, 543, 18430, 3690, 13905, 692, 19968, 525, 1419, 960, 1927, 547, 1683, 5370, 543, 2533, 547, 741, 5561, 269, 14992, 899, 631, 6717, 11633, 19833, 15278, 630, 22372, 538, 2494, 10042, 267, 13372, 264, 949, 7649, 609, 824, 10909, 689, 1114, 2477, 267, 971, 607, 590, 338, 836, 344, 784, 15278, 689, 3162, 9705, 267, 547, 3489, 7727, 2877, 585, 741, 4238, 269, 1452, 12352, 4125, 1585, 4205, 267, 1519, 6049, 7125, 267, 15737, 267, 543, 535, 31320, 267, 799, 948, 3715, 11650, 593, 1018, 1142, 5428, 2488, 543, 11392, 780, 2690, 3236, 267, 1577, 781, 4952, 513, 14070, 9183, 1141, 513, 2199, 29221, 2044, 1572, 834, 22013, 5534, 5548, 2074, 257, 6499, 547, 4444, 11256, 3937, 689, 513, 4914, 18261, 3957, 834, 289, 5474, 262, 7454, 2668, 1677, 798, 865, 267, 789, 1522, 4497, 538, 1896, 7391, 936, 4757, 610, 6049, 547, 1865, 14499, 267, 6765, 2053, 267, 2298, 4441, 267, 543, 8569, 2474, 269, 4495, 1312, 6105, 3858, 593, 891, 2175, 267, 789, 1106, 513, 4579, 1107, 2901, 2854, 610, 11913, 1107, 24152, 519, 2474, 540, 741, 11450, 780, 4089, 476, 273, 281, 7335, 543, 22718, 513, 13751, 8865, 692, 3086, 602, 649, 1174, 875, 4213, 12840, 1577, 781, 4685, 4514, 883, 938, 1292, 1383, 281, 631, 6717, 11633, 19833, 15278, 8957, 590, 338, 836, 344, 784, 15278, 269, 1879, 13882, 8451, 1063, 4213, 267, 789, 616, 3006, 3144, 547, 5480, 585, 6571, 269, 1306, 851, 540, 713, 1184, 267, 16488, 1224, 998, 6054, 24223, 519, 3510, 543, 1287, 3390, 3664, 1759, 593, 2963, 4843, 1282, 5873, 902, 780, 2080, 781, 606, 7650, 540, 519, 1883, 2609, 1336, 538, 1034, 3656, 2665, 1384, 265, 3487, 625, 3238, 281, 10576, 945, 519, 27674, 858, 630, 1492, 835, 8744, 519, 27779, 264, 543, 24769, 630, 1492, 15034, 264, 616, 563, 265, 12700, 540, 519, 2013, 281, 6258, 827, 519, 2621, 3056, 909, 547, 519, 15539, 563, 265, 12983, 693, 1688, 281, 14419, 1018, 1808, 2055, 610, 2042, 991, 547, 581, 9619, 563, 265, 14803, 3701, 1500, 281, 25826, 519, 2798, 6659, 676, 1312, 5011, 3823, 519, 2152, 563, 265, 681, 30389, 4433, 2567, 5623, 519, 9794, 781, 3803, 3375, 543, 7744, 3297, 621, 780, 28274, 713, 2497, 547, 938, 1292, 2013, 267, 649, 1294, 602, 1384, 265, 3487, 625, 281, 631, 6717, 11633, 19833, 15278, 630, 680, 5593, 858, 264, 543, 590, 338, 836, 344, 784, 15278, 630, 3698, 754, 656, 1916, 265, 12700, 281, 5637, 941, 10647, 1870, 3842, 6049, 7125, 543, 535, 31320, 282, 590, 338, 836, 344, 784, 2366, 605, 1106, 320, 1045, 7860, 547, 631, 6717, 563, 265, 17136, 281, 1703, 729, 513, 24895, 1063, 873, 3823, 1978, 3344, 540, 741, 1870, 4308, 902, 563, 265, 21261, 1299, 681, 30389, 281, 1284, 1810, 1405, 723, 1569, 547, 782, 7440, 543, 5947, 902, 1934, 267, 855, 6038, 267, 519, 10966, 7040, 9783, 513, 3375, 1759, 593, 519, 2963, 3177, 780, 4089, 476, 274, 281, 16497, 3231, 2740, 689, 6355, 2598, 1584, 525, 692, 22860, 4506, 3656, 2665, 899, 631, 6717, 11633, 19833, 15278, 5288, 269, 590, 338, 836, 344, 784, 15278, 2337, 721, 2721, 3407, 4245, 585, 2104, 11639, 543, 6800, 7567, 1384, 272, 269, 13068, 9442, 281, 3550, 1169, 5872, 3322, 12001, 5717, 827, 6788, 267, 9021, 267, 543, 1761, 4220, 269, 16700, 16187, 902, 666, 1291, 547, 14427, 13882, 1524, 519, 1899, 780, 273, 269, 7743, 11657, 566, 281, 5901, 5638, 540, 782, 11650, 267, 2436, 2854, 610, 11913, 269, 11109, 6405, 6169, 540, 19647, 1500, 666, 4688, 942, 543, 2200, 952, 7526, 8451, 780, 274, 269, 1520, 1877, 547, 20260, 338, 281, 2806, 4575, 676, 519, 2474, 13890, 538, 707, 6876, 9727, 2463, 585, 707, 7649, 543, 11942, 3972, 1369, 519, 1870, 2078, 269, 27915, 891, 3652, 1223, 1267, 538, 4049, 4539, 780, 3528, 1620, 891, 3741, 2038, 593, 267, 596, 3513, 581, 1732, 5423, 547, 6330, 1950, 1870, 3347, 950, 596, 4283, 519, 1158, 540, 20835, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 631, 6717, 7144, 658, 19833, 29651, 269, 642, 269, 590, 338, 836, 344, 784, 29651, 563, 268, 717, 10611, 269, 3143, 269, 476, 10204, 277, 3451, 454, 268, 715, 21815, 308, 6938, 267, 808, 10778, 268, 17423, 11261, 454, 294, 10611, 269, 3143, 269, 476, 10204, 277, 3451, 269, 5239, 476, 1704, 267, 476, 1220, 278, 563, 300, 6717, 28960, 19851, 6020, 3201, 590, 3201, 2464, 2910, 14641, 3036, 9569, 267, 21936, 518, 267, 5288, 269, 9399, 20315, 312, 32670, 2910, 14641, 3036, 9569, 267, 4431, 550, 563, 291, 661, 595, 594, 590, 594, 744, 715, 454, 2793, 6224, 308, 6938, 267, 808, 533, 912, 6524, 519, 7040, 568, 513, 21936, 585, 2689, 593, 5909, 1640, 926, 540, 519, 17423, 540, 519, 7040, 540, 2561, 324, 1023, 538, 11404, 8566, 10611, 269, 22008, 3143, 269, 476, 279, 3066, 10695, 543, 922, 22375, 27102, 519, 5163, 585, 556, 4621, 573, 3130, 23476, 563, 30821, 819, 518, 631, 6717, 11633, 19833, 630, 300, 6717, 1070, 513, 6469, 18294, 609, 5604, 693, 23642, 32121, 267, 2494, 10042, 267, 568, 7722, 538, 519, 1870, 540, 1104, 532, 543, 17783, 2718, 16243, 5374, 2472, 269, 2290, 540, 922, 14273, 568, 519, 590, 338, 836, 344, 784, 15278, 630, 306, 338, 836, 344, 784, 1070, 606, 3486, 9467, 2754, 609, 2212, 5604, 538, 1530, 9567, 267, 3162, 9705, 543, 6237, 22071, 538, 25120, 10620, 4975, 267, 13372, 269, 634, 1079, 14078, 5342, 1870, 998, 15146, 7125, 543, 1795, 13678, 850, 610, 7658, 32476, 18993, 3827, 269, 590, 338, 836, 344, 784, 1131, 6494, 519, 605, 1106, 320, 1045, 7860, 5627, 519, 3877, 540, 519, 5374, 1587, 1931, 547, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 276, 281, 4197, 8950, 10434, 2264, 692, 5331, 7432, 593, 707, 5172, 3381, 3014, 543, 11362, 883, 513, 5691, 1158, 4904, 609, 7045, 256, 1809, 723, 596, 2479, 11074, 547, 1589, 827, 782, 519, 2694, 602, 960, 1927, 3330, 707, 11080, 23641, 610, 2780, 547, 1118, 602, 2009, 286, 4653, 267, 649, 2811, 2469, 547, 2263, 835, 1271, 2460, 540, 5904, 910, 519, 8800, 2439, 3383, 1018, 4010, 568, 2780, 8800, 286, 4270, 267, 621, 4016, 547, 782, 519, 2168, 3334, 602, 1118, 909, 513, 2780, 1062, 269, 1452, 616, 1919, 899, 519, 13691, 267, 519, 5496, 630, 528, 6895, 1070, 543, 1256, 519, 6263, 13365, 3330, 707, 3926, 269, 2913, 781, 2736, 1524, 891, 3334, 2417, 865, 602, 596, 1205, 513, 1732, 1620, 540, 875, 789, 1599, 1927, 780, 20058, 267, 1577, 781, 2911, 827, 3403, 3457, 269, 18452, 3457, 1450, 3755, 547, 2170, 609, 741, 5904, 269, 1411, 2811, 4440, 5432, 609, 930, 1455, 3283, 971, 607, 513, 13691, 267, 10856, 267, 610, 5905, 31653, 269, 1879, 596, 2046, 10569, 593, 707, 13691, 610, 4945, 707, 10856, 267, 1346, 3527, 5352, 5122, 6786, 799, 1287, 2951, 998, 12904, 1369, 707, 2780, 780, 9202, 267, 972, 616, 3977, 3457, 269, 19243, 3457, 1491, 1344, 689, 519, 2780, 543, 4159, 621, 538, 513, 1259, 3425, 666, 1174, 269, 3933, 6002 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5153, 16365, 22155, 780, 1692, 1684, 1411, 12433, 30078, 1677, 30078, 30579, 2496, 13420, 725, 543, 12596, 585, 30078, 547, 30078, 30579, 18185, 616, 607, 1246, 281, 966, 623, 6261, 815, 476, 273, 18414, 273, 1535, 966, 681, 5960, 815, 476, 273, 269, 279, 2764, 1535, 966, 681, 5960, 269, 966, 623, 6261, 815, 273, 1535, 966, 623, 692, 9989, 966, 5776, 1280, 30579, 2496, 14157, 5653, 568, 875, 2182, 5201, 568, 1373, 834, 16476, 1117, 257, 998, 513, 5547, 269, 589, 2362, 6453, 1797, 519, 5201, 568, 1373, 14593, 9875, 269, 30579, 568, 6027, 538, 24311, 269, 634, 3090, 585, 24311, 568, 966, 780, 1432, 1772, 634, 30078, 1677, 30078, 30579, 2986, 589, 3600, 30579, 2496, 1492, 8445, 547, 8445, 6453, 815, 476, 277, 10945, 689, 519, 5207, 1448, 547, 519, 9803, 543, 1142, 4009, 568, 4502, 476, 1015, 309, 269, 1924, 519, 8445, 547, 8445, 6453, 815, 476, 2568, 966, 269, 519, 8445, 6453, 630, 309, 334, 264, 815, 3368, 519, 8445, 547, 8445, 6453, 815, 476, 2568, 1315, 476, 273, 815, 476, 1789, 966, 692, 9989, 589, 8262, 3455, 23996, 6399, 2859, 30579, 2496, 2026, 1279, 607, 596, 666, 2721, 2614, 1699, 630, 10102, 264, 689, 519, 6007, 267, 596, 666, 1205, 519, 1482, 2179, 540, 1379, 856, 540, 1082, 28696, 269, 1924, 27985, 267, 519, 2362, 6453, 3085, 1406, 1611, 811, 1379, 538, 543, 540, 3294, 269, 589, 16797, 8074, 6168, 5292, 1206, 30579, 2338, 899, 476, 2412, 309, 267, 476, 3199, 309, 267, 543, 476, 6344, 309, 1419, 2099, 8445, 630, 10946, 264, 24311, 780, 1432, 1684, 1411, 6399, 1635, 30078, 769, 2091, 30579, 2496, 8248, 752, 769, 2091, 30579, 630, 303, 4353, 264, 9502, 281, 634, 5021, 1871, 540, 519, 9258, 6453, 602, 513, 623, 301, 22882, 610, 26534, 666, 16641, 1510, 14124, 3294, 568, 1634, 607, 922, 30078, 769, 2091, 30579, 269, 901, 12773, 540, 30078, 769, 2091, 30579, 630, 303, 4353, 264, 568, 2016, 543, 4330, 538, 519, 7635, 18694, 3177, 676, 519, 10672, 780, 1432, 15486, 8899, 570, 1186, 30579, 2496, 1432, 3123, 570, 4916, 1970, 6453, 286, 634, 6453, 540, 519, 555, 8527, 1479, 2990, 9300, 666, 6749, 2630, 519, 4397, 2039, 585, 1896, 4128, 267, 1519, 519, 1739, 281, 589, 29101, 2173, 870, 539, 555, 8527, 1479, 2990, 9300, 269, 15379, 2110, 593, 519, 9300, 5547, 267, 2901, 547, 519, 2666, 610, 547, 1776, 5911, 269, 14068, 610, 30599, 4765, 11443, 610, 4296, 585, 519, 9300, 780, 3674, 966, 14537, 634, 23893, 1306, 595, 30298, 30579, 2496, 309, 14537, 568, 519, 6453, 540, 966, 28339, 593, 3993, 15236, 269, 966, 14537, 568, 513, 6453, 602, 2501, 689, 966, 6717, 318, 2562, 267, 543, 621, 568, 519, 4295, 540, 707, 17765, 269, 634, 17765, 270, 25897, 308, 13333, 538, 713, 6453, 267, 543, 713, 568, 1141, 1034, 1004, 1205, 11821, 269, 1215, 798, 596, 16174, 966, 14537, 543, 824, 28696, 2496, 1432, 1772, 634, 16338, 9737, 30078, 30579, 1656, 681, 916, 30579, 2496, 305, 5960, 543, 8445, 616, 1079, 2338, 602, 666, 581, 1031, 547, 2769, 606, 20367, 1699, 269, 634, 1292, 3017, 1063, 681, 5960, 543, 30078, 568, 602, 8445, 4016, 547, 519, 5021, 1871, 602, 519, 1699, 666, 3914, 538, 606, 20367, 1699, 6466, 681, 5960, 568, 519, 8445, 1699, 5258, 676, 519, 4009, 3597, 540, 1079, 780, 1692, 1684, 1411, 12433, 681, 916, 30579, 2496, 305, 5960, 30579, 17817, 269, 3973, 519, 681, 5960, 6453, 630, 15283, 5960, 264, 540, 513, 18980, 18042, 5951, 845, 568, 5462, 676, 14921, 519, 8445, 6453, 1871, 676, 476, 271, 269, 3583, 278, 272, 267, 799, 568, 519, 1482, 607, 835, 5258, 676, 519, 4009, 3597, 540, 1079, 630, 476, 272, 270, 18414, 273, 15426, 634, 681, 5960, 6453, 267, 799, 666, 849, 581, 5219, 547, 607, 519, 2500, 1871, 267, 5673, 593, 519, 9588, 540, 519, 5951, 845, 543, 568, 711, 513, 1599, 3267, 0, 427, 375, 379, 24908, 6520, 5729, 476, 272, 543, 476, 273, 16544, 540, 23426, 5153, 476, 275, 12754, 13268, 1107, 15858, 31981, 1923, 15858, 31981, 454, 5472, 15955, 24908, 6520, 5729, 476, 272, 543, 476, 273, 16544, 540, 23426, 5153, 476, 275, 12754, 13268, 692, 258, 24908, 6520, 5729, 476, 272, 543, 476, 273, 16544, 540, 23426, 5153, 476, 275, 12754, 13268, 692, 1012, 5153, 476, 275, 281, 24908, 6520, 5729, 476, 272, 543, 476, 273, 16544, 540, 23426, 12754, 13268, 692, 300, 12089, 6520, 5729, 476, 272, 543, 476, 273, 16544, 540, 23426, 5153, 476, 275, 12754, 13268, 2882, 513, 3450, 17948, 543, 21630, 9867, 21711, 543, 7744, 543, 1966, 6061, 2200, 585, 713, 1900, 799, 6227, 5729, 476, 273, 8571, 476, 273, 291, 25609, 585, 4201, 4379, 13332, 476, 274, 780, 2162, 1548, 781, 3769, 538, 519, 13268, 2496, 1607, 24908, 6520, 5729, 476, 272, 543, 476, 273, 16544, 540, 23426, 5153, 476, 275, 3640, 2882, 1384, 1892, 24908, 6520, 5729, 476, 272, 543, 476, 273, 16544, 540, 23426, 5153, 476, 275, 9752, 17948, 609, 1806, 563, 1892, 5729, 476, 273, 8571, 476, 273, 291, 25609, 7352, 539, 12071, 1890, 609, 4267, 563, 1892, 5729, 476, 273, 8571, 476, 273, 291, 25609, 25705, 543, 9046, 14572, 609, 4267, 780, 2971, 2817, 15099, 20505, 692, 17843, 2747, 912, 24868, 539, 12071, 1890, 454, 29753, 5999, 547, 1489, 5373, 2241, 267, 2834, 476, 273, 291, 5546, 563, 2750, 4624, 5999, 547, 1489, 5373, 2834, 543, 930, 12150, 476, 273, 291, 5546, 563, 15124, 518, 3493, 628, 5999, 547, 1489, 5373, 12150, 476, 273, 291, 5546, 780, 3725, 1783, 532, 543, 9046, 14572, 454, 26524, 476, 272, 267, 476, 275, 543, 476, 278, 630, 19370, 14572, 994, 29753, 8571, 513, 2241, 267, 2834, 476, 273, 291, 5546, 689, 513, 2016, 1448, 563, 2750, 4624, 8571, 513, 2834, 610, 2241, 12150, 476, 273, 291, 3337, 689, 513, 2016, 1448, 563, 15124, 518, 3493, 628, 13159, 606, 12150, 476, 273, 291, 3337, 593, 7470, 1957, 780, 26524, 476, 273, 267, 476, 276, 543, 476, 279, 630, 3725, 1783, 532, 994, 29753, 28171, 610, 16355, 557, 513, 3948, 827, 4946, 513, 1899, 547, 513, 2241, 267, 2834, 476, 273, 291, 3337, 547, 1711, 1114, 476, 273, 291, 5546, 563, 2750, 4624, 28171, 610, 16355, 557, 513, 3948, 827, 4946, 3515, 547, 513, 2834, 476, 273, 291, 3337, 547, 1711, 1896, 1114, 476, 273, 291, 5546, 563, 15124, 518, 3493, 628, 28171, 610, 16355, 557, 513, 3948, 827, 4946, 3515, 547, 606, 12150, 476, 273, 291, 3337, 547, 1711, 1114, 476, 273, 291, 5546, 780, 26524, 476, 274, 267, 476, 277, 543, 476, 280, 630, 19370, 14572, 994, 29753, 26969, 2241, 476, 273, 291, 5546, 547, 741, 11673, 269, 8571, 519, 7508, 2241, 476, 273, 291, 3337, 2687, 547, 922, 6609, 563, 2750, 4624, 26969, 2834, 610, 12150, 476, 273, 291, 5546, 547, 741, 11673, 269, 8571, 519, 7508, 2834, 476, 273, 291, 3337, 2687, 547, 922, 6609, 563, 15124, 518, 3493, 628, 26969, 12150, 476, 273, 291, 5546, 547, 741, 11673, 269, 8571, 519, 7508, 12150, 476, 273, 291, 3337, 2687, 547, 922, 6609, 269, 0, 314, 1700, 316, 476, 275, 2798, 276, 2798, 476, 1109, 263, 276, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 2791, 2965, 1810, 1405, 991, 547, 917, 674, 3287, 264, 547, 798, 713, 269, 1358, 2307, 585, 674, 21948, 343, 1070, 543, 602, 1131, 581, 535, 3287, 1070, 610, 693, 2547, 267, 621, 3592, 568, 780, 1103, 519, 11532, 267, 621, 3340, 674, 3287, 264, 547, 581, 540, 519, 1106, 1496, 282, 1422, 842, 19963, 28682, 535, 3287, 264, 22773, 11459, 282, 316, 585, 930, 3586, 513, 267, 855, 538, 707, 1966, 267, 596, 723, 606, 5580, 3808, 540, 476, 274, 343, 268, 272, 3079, 540, 1535, 269, 1684, 596, 917, 1022, 2081, 547, 1689, 519, 23451, 540, 5610, 865, 602, 596, 666, 946, 519, 5822, 27284, 14497, 2496, 314, 1700, 6012, 306, 316, 476, 272, 1448, 273, 2798, 476, 1109, 263, 275, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 4692, 594, 1175, 1118, 476, 274, 343, 268, 272, 3160, 579, 267, 543, 1287, 1265, 535, 26086, 21663, 1772, 602, 11807, 2496, 314, 1700, 316, 476, 272, 1448, 273, 2798, 476, 1109, 263, 274, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 27028, 5193, 569, 269, 2334, 781, 875, 596, 4194, 891, 2010, 540, 2042, 538, 2489, 780, 314, 1700, 6012, 306, 316, 476, 271, 2798, 272, 1448, 476, 1109, 263, 273, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 2704, 2431, 267, 9684, 596, 1360, 1454, 2439, 8512, 540, 1250, 1966, 7620, 729, 602, 594, 3893, 519, 476, 272, 560, 543, 476, 273, 526, 5376, 916, 11821, 780, 810, 1250, 2626, 568, 476, 1015, 263, 274, 343, 268, 272, 264, 273, 1341, 272, 1772, 602, 2953, 2496, 314, 1700, 316, 476, 271, 2798, 272, 1448, 476, 1109, 263, 272, 1126, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 8253, 3833, 269, 1403, 579, 815, 476, 274, 343, 268, 272, 267, 1287, 1535, 815, 630, 340, 266, 272, 8358, 274, 269, 1924, 596, 1058, 723, 1496, 282, 476, 1015, 17353, 2765, 18950, 340, 266, 272, 8203, 273, 2410, 280, 15396, 272, 348, 6902, 316, 780, 314, 1700, 6012, 306, 316, 476, 271, 2798, 272, 1448, 476, 1109, 263, 271, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 3963, 616, 596, 1016, 6883, 621, 856, 899, 602, 286, 6496, 333, 1405, 519, 2034, 4909, 11532, 1289, 585, 596, 547, 1175, 1016, 538, 579, 585, 1535, 2496, 314, 1700, 316, 476, 271, 2798, 272, 1448, 476, 1109, 263, 271, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 25332, 2925, 602, 585, 1022, 2318, 513, 267, 519, 1599, 1496, 20939, 513, 12757, 273, 348, 6902, 316, 568, 519, 1482, 607, 1496, 20939, 2715, 1410, 273, 2410, 15238, 5416, 14587, 6902, 4940, 7102, 10026, 4550, 268, 1457, 29719, 585, 713, 1599, 1590, 3382, 519, 2027, 2013, 513, 284, 324, 269, 1809, 1496, 20939, 552, 12757, 273, 348, 6902, 316, 568, 1634, 547, 711, 723, 606, 10026, 4550, 268, 1457, 29719, 269, 0, 258, 590, 5902, 1154, 12197, 540, 513, 27155, 936, 513, 5685, 924, 12197, 692, 1892, 4455, 476, 272, 560, 476, 1001, 272, 267, 476, 6349, 281, 7871, 6751, 454, 338, 4582, 341, 1470, 454, 306, 5902, 1154, 12197, 540, 513, 27155, 936, 513, 5685, 924, 12197, 454, 15916, 3025, 267, 594, 729, 11842, 952, 594, 1223, 1205, 930, 948, 609, 713, 780, 8340, 519, 24590, 2361, 540, 519, 9971, 4399, 6234, 535, 815, 1535, 317, 274, 1341, 476, 273, 343, 1341, 272, 1422, 514, 1422, 13992, 346, 313, 20731, 274, 1496, 343, 316, 6911, 11039, 594, 917, 602, 7445, 6234, 1422, 13992, 346, 313, 20731, 274, 20572, 316, 1315, 1422, 30848, 1535, 317, 274, 1341, 476, 273, 343, 1341, 476, 272, 1422, 26917, 259, 568, 513, 2361, 10137, 5627, 4399, 6234, 1422, 10401, 815, 1535, 1341, 1422, 30848, 535, 1422, 26917, 259, 799, 568, 513, 3597, 540, 519, 9971, 4399, 6234, 535, 16859, 3719, 568, 713, 513, 24590, 2361, 7790, 2052, 972, 711, 581, 1776, 3693, 4399, 6234, 1422, 10401, 1412, 259, 799, 18387, 1405, 7902, 538, 713, 2361, 10137, 286, 8729, 585, 1022, 948, 563, 1892, 4455, 476, 272, 560, 476, 1001, 272, 267, 476, 6734, 281, 3393, 6751, 454, 2023, 1470, 454, 32621, 1384, 23192, 17397, 676, 521, 4582, 341, 1470, 454, 15916, 3025, 267, 594, 729, 11842, 952, 594, 1223, 1205, 930, 948, 609, 713, 780, 8340, 519, 24590, 2361, 540, 519, 9971, 4399, 6234, 535, 815, 1535, 317, 274, 1341, 476, 273, 343, 1341, 272, 1422, 514, 1422, 13992, 346, 313, 20731, 274, 1496, 343, 316, 6911, 11039, 594, 917, 602, 7445, 6234, 1422, 13992, 346, 313, 20731, 274, 20572, 316, 1315, 1422, 30848, 1535, 317, 274, 1341, 476, 273, 343, 1341, 476, 272, 1422, 26917, 259, 568, 513, 2361, 10137, 5627, 4399, 6234, 1422, 10401, 815, 1535, 1341, 1422, 30848, 535, 1422, 26917, 259, 799, 568, 513, 3597, 540, 519, 9971, 4399, 6234, 535, 16859, 3719, 568, 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 ]
[ 1977, 2757, 7067, 2853, 6766, 2413, 4915, 543, 3782, 888, 268, 1215, 723, 7111, 1977, 3872, 2833, 7960, 936, 942, 888, 268, 1548, 616, 519, 3140, 543, 4207, 2591, 5185, 676, 7111, 1977, 2021, 538, 2474, 540, 4008, 5107, 888, 268, 1215, 723, 7111, 1977, 30063, 1949, 7960, 936, 942, 888, 268, 1548, 1909, 1705, 7111, 1977, 3009, 2911, 619, 1404, 538, 2622, 2782, 594, 543, 2622, 2782, 4083, 888, 268, 1215, 723, 2413, 7111, 1977, 15628, 23647, 585, 519, 4027, 540, 10723, 3338, 888, 6930, 497, 507, 13445, 29941, 827, 7111, 1977, 454, 268, 634, 3638, 543, 3309, 2686, 6561, 540, 7111, 1977, 11031, 5170, 547, 25407, 3173, 543, 12439, 7567, 267, 7674, 607, 513, 15266, 547, 741, 11972, 9371, 538, 5935, 519, 5958, 540, 3345, 3013, 563, 268, 3245, 741, 7096, 5289, 4276, 547, 519, 2244, 547, 741, 7415, 7418, 1282, 29053, 267, 519, 7415, 6043, 543, 4644, 540, 7111, 1977, 5389, 1796, 607, 513, 15266, 547, 741, 7096, 1764, 593, 519, 4182, 779, 1686, 543, 3961, 563, 268, 769, 519, 3068, 540, 5553, 540, 14488, 267, 7111, 1977, 2950, 723, 7152, 513, 7415, 7029, 547, 8497, 741, 4654, 267, 5389, 267, 543, 9163, 267, 10452, 606, 26772, 8990, 547, 1780, 593, 741, 2189, 6561, 547, 2104, 5481, 563, 6930, 359, 507, 5440, 670, 23697, 585, 7111, 1977, 7433, 454, 6930, 497, 491, 32532, 2762, 670, 23697, 827, 7111, 1977, 585, 4828, 454, 268, 1306, 594, 1694, 1934, 267, 4050, 538, 1688, 267, 10452, 593, 519, 3460, 540, 1250, 1272, 607, 513, 7111, 1977, 267, 519, 30172, 540, 1250, 11937, 685, 9739, 759, 895, 538, 1250, 2295, 267, 28409, 803, 547, 2671, 513, 1650, 540, 6043, 267, 2686, 11348, 267, 543, 519, 796, 344, 1752, 532, 6891, 602, 6030, 998, 1250, 15532, 563, 268, 769, 519, 13795, 540, 1250, 1272, 267, 594, 723, 546, 2331, 519, 3504, 23929, 540, 1250, 11937, 267, 23475, 741, 8964, 540, 7326, 267, 543, 15336, 519, 1482, 10723, 12406, 789, 2899, 25500, 269, 3733, 1272, 607, 513, 7111, 1977, 568, 513, 15266, 547, 519, 967, 558, 3386, 4222, 543, 11972, 6561, 602, 649, 2314, 721, 1927, 607, 513, 1004, 563, 6930, 497, 491, 18926, 670, 23697, 585, 4828, 593, 7111, 1977, 454, 268, 4340, 547, 2487, 14829, 1239, 267, 7111, 1977, 5095, 723, 4810, 513, 11931, 2333, 936, 519, 2250, 8717, 267, 10223, 741, 3395, 4527, 543, 2956, 538, 4207, 2486, 563, 268, 5525, 7866, 602, 7111, 1977, 4654, 616, 1851, 519, 1034, 13155, 538, 519, 1158, 267, 609, 5111, 476, 5611, 4654, 6849, 519, 1981, 540, 14486, 267, 25967, 1681, 519, 14849, 991, 585, 11091, 3646, 547, 16102, 713, 17170, 2686, 6561, 563, 6930, 497, 491, 7726, 670, 23697, 593, 7111, 1977, 454, 268, 1215, 1705, 7111, 1977, 7239, 3082, 547, 543, 2170, 609, 741, 2067, 5054, 1354, 3864, 17091, 888, 268, 1548, 616, 519, 1699, 3646, 543, 2591, 538, 8497, 543, 26016, 1944, 13155, 7111, 1977, 4654, 888, 6930, 497, 495, 7454, 7111, 1977, 19080, 32276, 454, 27077, 498, 20804, 21261, 894, 19080, 593, 7111, 1977, 454, 268, 634, 2136, 2276, 685, 3140, 5134, 13015, 543, 30886, 540, 7111, 1977, 2950, 3747, 1065, 541, 894, 2962, 267, 1519, 8622, 8540, 540, 2250, 4636, 338, 267, 12581, 4199, 14305, 267, 543, 7341, 547, 7668, 6805, 1582, 24148, 563, 268, 7073, 2486, 1590, 4225, 519, 11091, 540, 7111, 1977, 4654, 267, 5389, 267, 543, 10723, 3338, 267, 9301, 741, 10373, 2686, 1871, 543, 1898, 1909, 538, 5807, 513, 3309, 543, 8537, 4182, 563, 27077, 498, 20804, 30551, 19080, 6201, 827, 7111, 1977, 454, 268, 3414, 606, 538, 3829, 2079, 540, 3140, 6054, 543, 2686, 13742, 267, 713, 5098, 13187, 602, 7111, 1977, 7239, 22234, 10427, 1514, 3889, 267, 2620, 5289, 4296, 609, 2470, 267, 543, 513, 3638, 7499, 6561, 602, 5129, 513, 11358, 1909, 538, 5935, 519, 1646, 540, 3345, 3013, 563, 268, 1635, 6313, 519, 1764, 540, 5313, 4507, 593, 7111, 1977, 2950, 267, 713, 5098, 11394, 547, 8774, 1769, 593, 519, 11972, 9371, 540, 17091, 543, 875, 621, 5170, 547, 3337, 519, 8739, 20300, 2591, 5185, 676, 6805, 5095, 2221, 267, 10771, 519, 2956, 540, 5466, 3140, 17536, 1182, 585, 513, 811, 12581, 2104, 563, 27077, 498, 20804, 22252, 894, 19080, 827, 7111, 1977, 454, 268, 634, 3309, 543, 3638, 2686, 6561, 540, 7111, 1977, 11031, 267, 16030, 741, 2189, 4654, 267, 5289, 4978, 267, 7499, 7215, 267, 543, 1514, 3889, 267, 5170, 547, 1404, 513, 2629, 1909, 538, 5935, 1312, 3140, 543, 4207, 9163, 1369, 3345, 3013, 563, 268, 1635, 6313, 519, 2591, 5185, 676, 7111, 1977, 2950, 538, 519, 26441, 540, 3782, 267, 2069, 267, 543, 2804, 1646, 267, 713, 5098, 11394, 547, 8774, 1769, 593, 519, 10296, 2152, 602, 3747, 3007, 543, 14223, 585, 519, 16882, 543, 1134, 5630, 540, 891, 6805, 5095, 563, 6930, 498, 478, 7111, 1977, 29138, 6201, 454, 268, 634, 9860, 540, 5312, 1072, 2175, 1851, 7111, 1977, 5095, 568, 6766, 676, 513, 4999, 540, 4719, 32739, 267, 6197, 2188, 267, 543, 3908, 1569, 547, 2298, 3782, 2533, 563, 268, 634, 11091, 543, 26016, 1436, 540, 7111, 1977, 4654, 786, 1291, 547, 4824, 2686, 3961, 267, 2362, 3872, 4093, 267, 543, 2799, 2146, 22122, 1851, 6805, 2950, 563, 6930, 498, 480, 715, 1638, 1299, 20010, 29138, 827, 7111, 1977, 454, 268, 715, 1638, 29138, 281, 1703, 568, 1100, 1713, 3017, 538, 519, 2804, 1134, 5630, 540, 7111, 1977, 2950, 3379, 547, 824, 6803, 2516, 538, 519, 2136, 2276, 563, 268, 20010, 29138, 281, 1703, 568, 513, 1713, 3017, 538, 519, 2804, 1134, 5630, 540, 7111, 1977, 2950, 3379, 547, 824, 6803, 2516, 538, 519, 2136, 2276, 563, 6930, 356, 494, 6201, 540, 9608, 15048, 593, 7111, 1977, 454, 268, 1306, 513, 2875, 7184, 5461, 538, 7111, 1977, 1686, 543, 2528, 267, 594, 993, 6537, 547, 3695, 519, 7418, 602, 891, 6805, 2950, 723, 18955, 883, 519, 5958, 540, 938, 4182, 269, 594, 993, 11235, 547, 5490, 883, 519, 10848, 540, 7111, 1977, 6561, 547, 1732, 1174, 519, 2591, 789, 3068, 267, 607, 1134, 607, 519, 6043, 543, 7326, 789, 18220, 269, 594, 4126, 547, 8774, 1769, 593, 519, 2956, 540, 2686, 11091, 267, 8661, 741, 2189, 3961, 267, 543, 12167, 585, 513, 811, 8537, 2486, 602, 2418, 543, 24947, 519, 9739, 540, 7111, 1977, 2950, 563, 268, 1306, 513, 2875, 609, 513, 6612, 585, 1514, 5126, 543, 7862, 267, 594, 3494, 621, 568, 1898, 547, 4983, 519, 3140, 543, 4207, 2152, 7133, 7111, 1977, 2950, 269, 594, 2832, 547, 6536, 513, 4514, 7071, 585, 7111, 1977, 2528, 267, 16616, 519, 1764, 540, 17091, 543, 11528, 17536, 1182, 593, 741, 2950, 267, 543, 5000, 1866, 547, 8362, 4497, 538, 14223, 3646, 602, 1489, 741, 2924, 543, 7668, 741, 9739, 269, 594, 1294, 713, 607, 606, 4316, 547, 1451, 267, 1332, 267, 543, 3565, 547, 2679, 513, 811, 12581, 543, 8537, 2486, 585, 782, 269, 0, 305, 578, 6511, 623, 269, 966, 732, 5055, 272, 267, 700, 2088, 570, 269, 16645, 659, 22611, 657, 273, 454, 763, 2497, 540, 5521, 10860, 543, 2067, 14763, 2404, 609, 3043, 6565, 16004, 337, 630, 9928, 597, 335, 15047, 320, 538, 2254, 320, 21701, 264, 538, 519, 11125, 730, 543, 4764, 325, 539, 1970, 1633, 7573, 26753, 538, 3397, 639, 534, 1642, 17368, 324, 729, 6594, 585, 1079, 5186, 6137, 12405, 269, 31687, 788, 2121, 1505, 729, 1031, 547, 3732, 538, 519, 5095, 540, 519, 1585, 818, 6605, 16104, 269, 2859, 2249, 540, 818, 6605, 16104, 941, 25541, 538, 4764, 325, 539, 1970, 1633, 7573, 26753, 982, 538, 11125, 730, 7573, 26753, 267, 2705, 267, 3017, 538, 519, 4763, 729, 711, 1713, 269, 7089, 540, 2249, 543, 5095, 540, 818, 6605, 16104, 941, 4299, 676, 5186, 6137, 9393, 787, 2853, 3226, 649, 5338, 543, 3498, 540, 13851, 269, 8693, 1705, 711, 3648, 1860, 519, 818, 6605, 617, 4763, 1813, 547, 519, 20093, 1738, 20296, 2175, 693, 519, 12614, 540, 519, 4432, 15281, 25123, 7613, 563, 21292, 281, 2146, 2497, 267, 818, 6605, 16104, 267, 1970, 1633, 7573, 4610, 0, 763, 8559, 538, 519, 17645, 4494, 814, 13175, 547, 1106, 2038, 713, 1032, 267, 20872, 21855, 602, 513, 3677, 31032, 8584, 2071, 8559, 949, 2417, 3636, 519, 8828, 7909, 1247, 519, 1377, 540, 21303, 4262, 4672, 568, 693, 513, 2594, 1970, 563, 25823, 22972, 1239, 689, 519, 3864, 10418, 585, 23839, 7304, 1052, 16661, 5983, 4751, 338, 5267, 519, 8559, 814, 2907, 13175, 547, 1106, 936, 19778, 563, 7804, 9410, 808, 27462, 267, 513, 32082, 693, 519, 8693, 7827, 3194, 10418, 693, 519, 2160, 540, 1715, 3162, 12986, 267, 1767, 519, 8559, 2356, 3459, 8108, 693, 519, 1439, 540, 5181, 267, 890, 1136, 538, 5239, 1354, 14656, 538, 5437, 610, 5412, 563, 2108, 28275, 538, 4864, 568, 6157, 1360, 2038, 2223, 646, 1767, 269, 968, 2171, 1810, 1406, 2356, 2503, 602, 3034, 763, 21303, 17645, 8559, 568, 606, 5993, 30034, 540, 519, 14404, 14459, 779, 17645, 4494, 267, 799, 814, 513, 1164, 5834, 540, 17645, 6675, 602, 10110, 22292, 5982, 689, 519, 3141, 269, 634, 8559, 814, 1044, 968, 515, 2718, 892, 936, 942, 267, 1739, 519, 476, 2735, 280, 27292, 7014, 799, 17515, 476, 4200, 260, 540, 17645, 31398, 548, 1154, 6464, 267, 971, 607, 8392, 1993, 1663, 528, 665, 16808, 976, 269, 23520, 821, 2157, 936, 519, 21303, 616, 4397, 547, 25483, 1394, 547, 476, 2735, 271, 2157, 676, 476, 18684, 277, 269, 1496, 25594, 2542, 2507, 316, 0, 299, 582, 23065, 616, 513, 2442, 1106, 540, 13989, 267, 8716, 1004, 547, 2628, 513, 1507, 2040, 540, 2724, 585, 519, 4960, 547, 3094, 513, 1804, 13544, 13607, 1700, 21865, 13950, 676, 1533, 610, 5313, 6608, 563, 763, 9998, 1634, 3864, 27601, 941, 513, 1106, 540, 31768, 1282, 12129, 6105, 4371, 676, 14547, 15626, 5443, 538, 3504, 7507, 269, 3962, 16823, 1131, 4309, 513, 19044, 609, 513, 16101, 267, 971, 607, 513, 1305, 540, 16681, 12129, 2264, 563, 4913, 267, 891, 2010, 540, 27601, 941, 2760, 5497, 547, 581, 513, 2883, 10325, 269, 769, 1249, 267, 513, 1297, 540, 519, 1101, 27601, 941, 1031, 676, 6608, 547, 6318, 7482, 585, 1857, 3785, 563, 1103, 519, 2136, 2276, 267, 519, 25550, 6837, 1031, 27601, 547, 6318, 2724, 585, 519, 21829, 2782, 543, 2663, 585, 824, 1857, 3785, 269, 634, 2229, 543, 13931, 3260, 619, 849, 1031, 27601, 547, 8804, 9897, 267, 8021, 267, 13039, 267, 12621, 267, 23668, 267, 13123, 267, 3092, 563, 7197, 1004, 1404, 513, 2656, 1790, 1157, 13169, 267, 799, 568, 5488, 543, 4443, 982, 8939, 741, 1378, 2338, 269, 1717, 267, 713, 1505, 666, 2539, 707, 8458, 540, 10888, 1317, 1142, 2656, 1790, 1157, 12958, 513, 1114, 1305, 540, 2338, 563, 2414, 2087, 707, 12918, 267, 2119, 7446, 513, 1906, 2338, 602, 616, 711, 1360, 2673, 1927, 269, 11524, 786, 581, 1447, 2693, 547, 3442, 602, 5311, 267, 543, 596, 3580, 1796, 513, 1732, 4960, 540, 5329, 519, 3003, 13544, 13607, 952, 596, 3094, 563, 5278, 13169, 3549, 2709, 513, 4960, 547, 1902, 707, 3094, 11789, 538, 606, 3045, 8462, 267, 799, 786, 2285, 596, 513, 26686, 2040, 540, 2724, 952, 596, 3094, 267, 4553, 676, 5993, 11033, 602, 2333, 936, 942, 269, 901, 4781, 568, 711, 2139, 609, 782, 13169, 3756, 267, 855, 621, 666, 1118, 707, 13544, 13607, 811, 3407, 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 ]
[ 2994, 2907, 538, 1747, 543, 723, 6170, 513, 1390, 4308, 540, 2724, 593, 17516, 741, 8668, 1949, 267, 4130, 16904, 1419, 2995, 721, 602, 789, 1131, 4324, 689, 2241, 543, 2312, 5796, 4481, 2966, 585, 873, 2437, 6176, 30934, 18332, 24023, 1767, 563, 2026, 519, 3059, 5251, 5170, 547, 9921, 543, 11457, 267, 4213, 540, 782, 7306, 786, 991, 547, 4225, 1239, 7834, 4507, 538, 741, 3801, 547, 7001, 543, 10244, 6075, 1344, 547, 741, 4324, 269, 1635, 3246, 3152, 15287, 883, 1018, 1239, 568, 19017, 543, 875, 621, 568, 1031, 267, 3549, 949, 581, 2111, 547, 2333, 741, 5561, 262, 3972, 563, 10574, 8232, 5240, 689, 15439, 20376, 12053, 2593, 676, 7066, 526, 5843, 0, 17484, 665, 27767, 27546, 616, 6923, 9648, 7135, 1336, 1369, 519, 1480, 1560, 269, 1358, 4312, 1044, 972, 585, 476, 7785, 267, 1822, 1296, 610, 811, 267, 855, 649, 4312, 1152, 1175, 8068, 621, 256, 2290, 540, 519, 7415, 1919, 827, 1439, 665, 27767, 27546, 568, 741, 11495, 16726, 547, 519, 3742, 5820, 540, 15267, 1572, 32443, 1729, 2275, 27767, 27546, 269, 769, 1249, 267, 621, 729, 519, 4674, 676, 3744, 547, 1174, 519, 3169, 7271, 676, 799, 15267, 1568, 538, 519, 1560, 602, 3366, 547, 519, 6602, 540, 519, 7736, 665, 27767, 32009, 3590, 2370, 811, 982, 513, 8717, 3516, 563, 763, 2257, 540, 1439, 665, 27767, 32009, 4915, 814, 27636, 547, 513, 546, 11170, 3539, 4110, 538, 519, 2250, 1906, 1296, 269, 1703, 568, 9962, 4656, 602, 519, 1412, 754, 665, 27767, 32009, 1062, 262, 568, 519, 4102, 32239, 1062, 538, 519, 1480, 1560, 267, 15725, 11005, 267, 4189, 267, 12008, 267, 3965, 267, 543, 267, 607, 7074, 676, 519, 7969, 10196, 966, 4532, 523, 15605, 4144, 3057, 15605, 267, 1256, 938, 4761, 1062, 269, 0, 257, 10468, 639, 1676, 7575, 3564, 519, 7664, 540, 1367, 5931, 547, 9787, 607, 17783, 1079, 1949, 540, 17194, 267, 602, 540, 519, 631, 880, 333, 1695, 543, 602, 6719, 676, 681, 13741, 28649, 6054, 540, 519, 11359, 2540, 269, 1261, 3976, 2488, 606, 7357, 4195, 1935, 543, 513, 1007, 2626, 547, 519, 3844, 2243, 1412, 1432, 568, 17194, 286, 262, 2311, 519, 1482, 942, 267, 676, 3246, 513, 3280, 2203, 585, 519, 6268, 543, 6476, 540, 3309, 3909, 1949, 267, 713, 1433, 814, 606, 1271, 1747, 1369, 519, 1353, 540, 519, 1686, 540, 10764, 630, 1862, 264, 538, 2489, 1701, 734, 2704, 534, 808, 269, 589, 854, 6261, 324, 1188, 267, 2278, 540, 634, 13669, 31053, 540, 519, 8092, 540, 5840, 281, 2701, 6798, 527, 1323, 900, 5799, 16159, 540, 519, 1686, 540, 17194, 267, 15243, 3026, 639, 1676, 2982, 538, 713, 960, 875, 17194, 4957, 689, 513, 6138, 547, 513, 4984, 1063, 476, 1220, 543, 476, 6110, 595, 9950, 269, 634, 26306, 540, 17194, 568, 513, 960, 1312, 12316, 538, 922, 1505, 543, 13778, 538, 922, 2164, 269, 24951, 4505, 543, 2663, 5036, 540, 7225, 24191, 12591, 267, 3026, 639, 1676, 5036, 8521, 875, 6138, 734, 629, 5724, 267, 17715, 267, 1931, 569, 267, 543, 7214, 734, 339, 29354, 883, 4984, 734, 339, 26143, 267, 1524, 3562, 268, 24160, 267, 26093, 267, 543, 6405, 269, 769, 519, 1184, 267, 646, 3091, 606, 2272, 540, 519, 4332, 540, 17194, 602, 814, 1831, 29708, 269, 5047, 267, 3026, 639, 1676, 781, 12191, 666, 581, 4294, 547, 519, 1353, 540, 10764, 824, 982, 17194, 1317, 621, 12116, 519, 24598, 25751, 540, 875, 513, 2486, 12034, 519, 1158, 630, 874, 3342, 4451, 1070, 9753, 3294, 630, 335, 29176, 1070, 543, 2771, 1622, 3294, 630, 31754, 1040, 834, 1607, 30508, 2278, 2488, 538, 713, 1433, 2943, 1776, 540, 1010, 2312, 543, 14046, 29293, 883, 519, 2470, 540, 17194, 1862, 7647, 8765, 1469, 1281, 711, 840, 2850, 9355, 540, 2511, 543, 811, 2489, 8086, 593, 519, 1915, 540, 4984, 538, 6935, 547, 824, 12331, 540, 2219, 1701, 734, 30681, 1635, 337, 928, 267, 16241, 5525, 269, 630, 3333, 8667, 994, 763, 12355, 6426, 281, 1350, 31663, 525, 540, 23629, 1275, 4534, 7216, 2022, 1532, 10041, 3332, 281, 10766, 1811, 547, 13140, 543, 22946, 4534, 634, 32657, 333, 1695, 281, 945, 786, 20519, 519, 1158, 547, 2097, 286, 4534, 634, 13669, 31053, 281, 1018, 4523, 538, 519, 1985, 1158, 286, 4534, 19744, 6014, 6138, 281, 5132, 543, 2601, 4534, 3733, 560, 6291, 281, 556, 4532, 28271, 538, 28763, 4472, 1695, 4534, 7073, 640, 281, 1018, 798, 649, 3494, 286, 4534, 634, 31050, 281, 519, 18163, 8142, 540, 4126, 563, 763, 1888, 540, 713, 1433, 568, 1412, 21551, 8339, 898, 9397, 1524, 883, 5717, 540, 1079, 3982, 267, 855, 954, 22366, 267, 2055, 281, 1018, 1281, 519, 7122, 1413, 899, 267, 543, 1018, 568, 922, 5169, 286, 634, 8369, 827, 5137, 2808, 676, 7439, 6975, 6341, 340, 15625, 2097, 689, 519, 12355, 30920, 267, 5259, 6138, 267, 6014, 6138, 267, 543, 4207, 6323, 269, 3571, 5133, 568, 6014, 267, 12666, 267, 543, 10952, 269, 898, 568, 1412, 297, 28779, 262, 1317, 519, 5748, 540, 519, 4901, 568, 13400, 5931, 14648, 538, 519, 1769, 540, 2757, 14558, 28649, 5931, 269, 898, 568, 1412, 874, 3342, 28441, 262, 1317, 519, 630, 1862, 264, 1641, 2339, 568, 1271, 538, 1312, 2250, 543, 1459, 10952, 5931, 267, 543, 547, 6014, 6138, 538, 1880, 269, 7053, 267, 621, 568, 1412, 12221, 1968, 262, 1317, 519, 8128, 31570, 1331, 10636, 13454, 607, 1134, 607, 31249, 6014, 2959, 269, 634, 1671, 5224, 4901, 5012, 547, 3312, 8753, 827, 513, 4763, 540, 3584, 267, 1519, 519, 7182, 540, 1480, 2601, 543, 3909, 5132, 267, 543, 519, 10083, 540, 3621, 3631, 547, 3909, 14985, 269, 630, 3333, 8667, 994, 11854, 3663, 2433, 606, 3750, 602, 12034, 267, 606, 1274, 602, 30650, 4534, 5384, 2433, 9270, 540, 13796, 10862, 610, 17911, 640, 798, 711, 4283, 883, 519, 22560, 4534, 6611, 2433, 519, 2244, 540, 5840, 568, 2868, 1512, 982, 782, 3338, 4534, 5811, 2433, 21712, 8760, 543, 519, 1876, 781, 10952, 17431, 540, 1395, 6139, 1143, 4534, 631, 4869, 999, 4534, 5811, 2433, 9837, 1275, 4534, 23889, 519, 1062, 4534, 12389, 538, 519, 10806, 540, 2696, 563, 303, 663, 5674, 267, 966, 269, 4985, 269, 734, 298, 531, 601, 22894, 267, 918, 269, 590, 269, 27454, 1143, 267, 513, 1920, 3125, 540, 782, 10764, 269, 734, 21837, 267, 631, 269, 667, 269, 3245, 20322, 629, 3873, 547, 10067, 822, 4275, 269, 734, 2419, 531, 559, 267, 808, 269, 661, 269, 3794, 31663, 525, 540, 8828, 27454, 1143, 269, 734, 294, 641, 8643, 267, 589, 269, 590, 269, 5020, 543, 2528, 538, 27454, 320, 2239, 3332, 267, 476, 279, 628, 267, 476, 280, 628, 543, 476, 1015, 628, 2540, 589, 6185, 269, 734, 294, 641, 8643, 267, 589, 269, 590, 269, 19024, 540, 2021, 538, 27454, 320, 3332, 269, 734, 305, 17249, 267, 681, 269, 12472, 540, 27454, 320, 2219, 269, 734, 303, 663, 5674, 267, 966, 269, 27454, 320, 6138, 543, 4984, 269, 734, 4537, 1695, 267, 595, 269, 595, 269, 27454, 1143, 543, 2413, 1272, 269, 734, 306, 1678, 26515, 267, 670, 269, 667, 269, 634, 1390, 15646, 10586, 269, 734, 4537, 1695, 267, 772, 269, 623, 269, 27454, 320, 9295, 547, 4095, 1148, 269, 734, 294, 528, 27232, 22894, 267, 590, 269, 7216, 4496, 2592, 540, 630, 1862, 264, 519, 27454, 553, 269, 734, 289, 327, 698, 342, 10620, 267, 772, 269, 24157, 7240, 11226, 585, 519, 1353, 540, 27454, 1143, 269, 630, 3333, 8667, 994, 291, 10308, 2742, 835, 267, 9737, 519, 7811, 2035, 543, 2278, 658, 9837, 4534, 667, 10308, 2742, 1079, 267, 6153, 25654, 543, 2144, 2065, 4534, 667, 10308, 2742, 1614, 267, 9737, 1193, 836, 8864, 543, 23440, 4534, 667, 10308, 2742, 2185, 267, 9737, 14046, 1382, 543, 5132, 563, 23389, 5929, 626, 781, 26832, 1353, 540, 519, 8129, 540, 3864, 2219, 538, 5259, 3332, 543, 6138, 269, 5696, 650, 5050, 267, 4922, 9565, 269, 22291, 834, 295, 9593, 781, 7348, 540, 2494, 2437, 834, 763, 10493, 1014, 29331, 2437, 834, 763, 22547, 540, 519, 10572, 538, 519, 7216, 5259, 10370, 878, 2437, 834, 303, 785, 541, 781, 670, 2096, 333, 547, 28736, 2437, 834, 300, 2814, 543, 18712, 538, 5259, 3004, 3022, 344, 2437, 543, 834, 288, 2077, 2684, 6951, 543, 589, 20469, 29576, 1701, 563, 2750, 600, 1456, 519, 3332, 540, 8474, 543, 5198, 1354, 519, 6406, 2782, 267, 24381, 823, 10557, 9727, 585, 519, 1101, 942, 4010, 875, 519, 8474, 6433, 2968, 513, 6433, 540, 6138, 602, 6534, 519, 15059, 540, 3084, 13618, 543, 519, 7182, 540, 7787, 6392, 269, 26766, 267, 853, 578, 324, 267, 30463, 267, 9253, 6807, 267, 543, 2506, 3205, 941, 1851, 519, 24970, 31616, 4589, 945, 6836, 910, 543, 8959, 910, 547, 1265, 7787, 3435, 547, 519, 8474, 4655, 269, 1133, 762, 547, 1199, 5573, 519, 8474, 15784, 607, 519, 4182, 6410, 4724, 2112, 267, 741, 630, 1862, 264, 12591, 1106, 606, 11552, 6470, 5912, 1063, 519, 8746, 7787, 1143, 540, 519, 1977, 21654, 543, 519, 811, 26617, 2219, 540, 519, 22964, 3901, 1235, 269, 10557, 14405, 593, 24970, 31616, 5837, 6138, 267, 2797, 3069, 267, 543, 21042, 12695, 267, 8744, 513, 4195, 5133, 547, 519, 3332, 540, 8474, 910, 835, 602, 13754, 3278, 2686, 2090, 543, 7214, 1686, 547, 8044, 602, 11509, 267, 2366, 14939, 267, 543, 3109, 9533, 5830, 782, 17388, 609, 29678, 950, 6849, 519, 8474, 6433, 269, 630, 3333, 8667, 994, 7093, 15479, 832, 540, 519, 10409, 2490, 281, 4436, 6138, 540, 1893, 538, 519, 3735, 476, 866, 628, 2540, 4534, 3245, 1257, 547, 11407, 281, 513, 6521, 2509, 513, 31544, 7664, 540, 834, 12279, 1275, 257, 4534, 5741, 532, 513, 2257, 540, 3332, 281, 593, 513, 7811, 4493, 585, 513, 7787, 2257, 540, 3332, 4534, 634, 12170, 2257, 540, 3332, 26613, 281, 513, 1007, 17565, 4534, 3245, 5339, 2792, 547, 5339, 1949, 4534, 25956, 725, 281, 14908, 543, 5339, 1949, 4534, 1133, 21129, 1639, 1870, 281, 5339, 1686, 4534, 15448, 538, 26381, 1108, 281, 2923, 20460, 1243, 630, 1862, 264, 4534, 2876, 1559, 543, 27964, 281, 585, 606, 7471, 2792, 2257, 4534, 31834, 540, 2923, 7239, 4534, 31055, 4245, 585, 12170, 15312, 4534, 634, 1582, 268, 6716, 5314, 540, 1480, 2792, 269, 630, 3333, 8667, 994, 1607, 1957, 15109, 519, 10459, 540, 3332, 543, 1686, 543, 519, 7418, 1142, 2306, 547, 519, 11407, 540, 6915, 996, 923, 269, 769, 1142, 2013, 594, 4063, 519, 15338, 690, 545, 7475, 602, 666, 581, 21892, 1498, 519, 3617, 946, 540, 519, 1142, 540, 891, 10459, 538, 519, 12106, 540, 2564, 2069, 267, 3226, 538, 519, 2564, 7881, 4928, 269, 272, 594, 1287, 2263, 519, 9295, 602, 1312, 891, 10459, 543, 741, 9757, 16097, 666, 543, 798, 3142, 547, 519, 4081, 2361, 540, 6915, 996, 923, 269, 594, 9959, 609, 630, 1862, 264, 513, 5618, 7156, 540, 519, 1894, 1063, 3332, 543, 1686, 609, 1880, 3007, 547, 519, 7399, 585, 513, 2104, 6915, 996, 923, 5483, 676, 1686, 543, 3332, 1310, 519, 12170, 2490, 269, 630, 3333, 8667, 994, 1607, 568, 519, 1279, 268, 11867, 1243, 8313, 540, 513, 1305, 540, 12591, 676, 519, 3703, 14544, 267, 14787, 267, 543, 9125, 6048, 681, 14371, 269, 2051, 1782, 6229, 630, 6642, 280, 268, 3707, 274, 264, 593, 2565, 267, 10236, 1670, 267, 543, 2686, 4798, 1152, 20726, 539, 693, 538, 1010, 5892, 2139, 960, 269, 2311, 519, 4295, 616, 3670, 3594, 593, 12563, 339, 1446, 543, 9059, 538, 799, 2051, 1782, 6229, 10039, 519, 3741, 540, 1010, 6138, 540, 1686, 547, 2042, 538, 519, 1279, 3856, 4720, 540, 1480, 2486, 543, 2528, 269, 634, 4320, 10741, 609, 1614, 8101, 2606, 3594, 676, 519, 15769, 267, 8128, 538, 741, 630, 1862, 264, 1585, 4610, 267, 945, 1683, 741, 28706, 543, 13865, 4967, 547, 3391, 519, 5467, 998, 519, 5931, 269, 634, 13898, 540, 2037, 31008, 618, 8711, 519, 3376, 2039, 540, 2051, 1782, 6229, 781, 7214, 4497, 906, 267, 741, 5610, 267, 543, 741, 10083, 547, 1699, 2127, 540, 7521, 538, 519, 4610, 540, 6138, 267, 2686, 2090, 267, 1514, 543, 5339, 1686, 267, 543, 19795, 269, 630, 3333, 8667, 994, 1607, 26832, 4015, 540, 1007, 543, 2487, 3594, 689, 606, 3486, 2319, 540, 900, 5799, 5640, 4564, 519, 1655, 4207, 2565, 3206, 11341, 547, 1312, 5339, 543, 10952, 2090, 540, 3332, 269, 6435, 2685, 2516, 3594, 883, 519, 2361, 781, 1292, 1016, 2275, 20975, 267, 1851, 873, 2048, 9824, 725, 9737, 13898, 543, 9085, 8730, 2048 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 1346, 602, 616, 711, 5372, 762, 563, 2304, 1383, 540, 9033, 1043, 7221, 568, 2724, 1547, 1403, 596, 723, 513, 476, 736, 3887, 1755, 3915, 267, 713, 568, 9033, 1043, 267, 2094, 596, 666, 3362, 5385, 621, 585, 1776, 476, 736, 3887, 1755, 3915, 267, 621, 1281, 711, 6336, 1871, 543, 568, 4010, 519, 1482, 269, 4746, 267, 713, 19044, 568, 10057, 950, 596, 946, 621, 563, 4517, 593, 519, 824, 1688, 267, 606, 1383, 540, 513, 1875, 7721, 12323, 762, 1434, 1131, 581, 513, 960, 540, 1148, 1547, 1403, 596, 723, 513, 4216, 693, 1753, 267, 621, 568, 711, 10057, 950, 1031, 543, 3112, 581, 8719, 676, 1776, 4216, 269, 2290, 960, 540, 1148, 568, 711, 6697, 547, 1776, 2073, 543, 4061, 3112, 3274, 581, 22121, 899, 513, 476, 736, 3887, 1755, 3915, 563, 1432, 3657, 32454, 454, 301, 10499, 6763, 585, 6348, 6363, 2426, 1043, 570, 7505, 267, 513, 1875, 1922, 2426, 1043, 18351, 269, 15480, 839, 616, 4559, 540, 1871, 602, 616, 8655, 547, 513, 1870, 2203, 267, 971, 607, 19116, 269, 1656, 621, 568, 602, 32454, 723, 513, 2673, 2078, 609, 19116, 267, 693, 2547, 1099, 10999, 267, 4352, 789, 616, 1727, 657, 2572, 267, 2094, 513, 11670, 568, 513, 9033, 1043, 1434, 267, 543, 606, 23088, 568, 513, 1875, 1922, 2426, 1043, 1434, 267, 855, 538, 9759, 267, 789, 616, 899, 519, 1079, 5011, 540, 513, 6639, 9304, 563, 3383, 602, 596, 1174, 621, 1134, 267, 649, 666, 1589, 540, 19116, 607, 513, 4558, 540, 1871, 267, 1945, 2147, 547, 4154, 1547, 1411, 666, 4444, 543, 6133, 4154, 267, 543, 950, 519, 1297, 540, 18046, 4679, 519, 3902, 4422, 909, 267, 547, 979, 1524, 950, 713, 1297, 540, 18046, 11081, 269, 898, 568, 513, 2623, 3160, 547, 602, 540, 19116, 563, 3719, 4154, 538, 519, 1439, 568, 4154, 267, 543, 596, 666, 1689, 835, 562, 1872, 1326, 585, 1776, 1510, 1966, 269, 1717, 267, 972, 616, 824, 5370, 1500, 540, 4154, 602, 849, 723, 513, 1871, 267, 855, 616, 2189, 267, 543, 602, 1249, 2306, 519, 3017, 543, 3947, 873, 1776, 1826, 540, 1871, 269, 6145, 602, 1871, 1500, 540, 4154, 610, 513, 4062, 540, 1148, 267, 32454, 616, 2189, 7221, 602, 3112, 581, 9168, 610, 22121, 585, 1776, 602, 814, 519, 1482, 1871, 2073, 2094, 1100, 1079, 32454, 616, 6697, 538, 519, 1482, 1259, 602, 1100, 1079, 10367, 616, 269, 789, 616, 563, 11997, 267, 596, 666, 1589, 540, 606, 23088, 607, 513, 1390, 4062, 540, 1148, 267, 899, 20707, 30058, 779, 3933, 320, 23436, 269, 1703, 568, 1152, 835, 543, 621, 568, 538, 513, 1808, 1148, 19922, 269, 1403, 596, 1616, 621, 267, 596, 666, 1152, 4444, 519, 3312, 952, 621, 729, 585, 9042, 269, 1411, 1223, 849, 1205, 513, 5299, 267, 855, 621, 1131, 723, 1776, 1871, 267, 2094, 621, 1131, 711, 581, 519, 3312, 269, 4270, 267, 602, 568, 4010, 1018, 519, 23088, 1281, 267, 855, 25274, 563, 2414, 1174, 621, 1732, 267, 606, 23088, 1131, 581, 899, 513, 2189, 960, 540, 1148, 267, 585, 1383, 267, 18466, 32109, 779, 6424, 267, 972, 568, 1152, 835, 543, 621, 568, 538, 519, 6452, 611, 8598, 20155, 538, 23509, 282, 1403, 2576, 4941, 547, 723, 602, 1880, 6424, 267, 789, 1058, 4444, 621, 630, 604, 621, 729, 585, 9042, 264, 610, 1205, 513, 5299, 267, 538, 799, 2013, 267, 649, 1131, 1100, 3476, 581, 6158, 827, 519, 3312, 267, 799, 568, 1018, 3947, 519, 17001, 922, 1871, 563, 2690, 713, 2601, 267, 32454, 616, 2356, 7923, 547, 930, 3059, 1568, 610, 12383, 269, 4706, 3902, 568, 2731, 1018, 1004, 1616, 547, 2285, 621, 267, 543, 1631, 602, 789, 616, 693, 513, 8445, 540, 8560, 267, 649, 666, 1265, 602, 972, 616, 1004, 945, 2628, 476, 18605, 267, 1822, 20789, 338, 585, 519, 5373, 540, 513, 4224, 7923, 547, 606, 23088, 563, 1692, 32454, 4518, 454, 301, 10499, 338, 960, 998, 9893, 610, 3625, 5832, 2029, 269, 898, 568, 519, 1482, 2029, 607, 19116, 267, 799, 960, 998, 513, 18228, 2780, 3060, 267, 609, 7161, 610, 9136, 5532, 543, 17956, 1210, 25563, 269, 3962, 3625, 6402, 547, 513, 3105, 3625, 267, 607, 1134, 607, 4266, 543, 11834, 1239, 267, 543, 568, 676, 1374, 11259, 547, 1239, 14842, 563, 301, 10499, 338, 616, 8655, 513, 2186, 540, 3059, 15149, 540, 13597, 267, 513, 3126, 540, 27034, 602, 3112, 581, 9168, 269, 769, 891, 27034, 922, 13597, 568, 16798, 267, 519, 4358, 1871, 543, 782, 4203, 29792, 610, 8852, 602, 723, 1044, 1500, 616, 6592, 267, 607, 1134, 607, 922, 2278, 563, 1607, 1797, 602, 952, 596, 4444, 3059, 1543, 18351, 1242, 609, 23088, 267, 693, 782, 2053, 972, 786, 2141, 581, 513, 2594, 540, 519, 1101, 1871, 621, 1185, 267, 543, 875, 1454, 596, 11751, 621, 585, 269, 898, 779, 899, 950, 596, 4444, 513, 7206, 543, 1832, 3950, 540, 1141, 621, 7575, 563, 1103, 2489, 267, 1034, 968, 339, 758, 839, 892, 610, 32454, 616, 2356, 1759, 593, 519, 4441, 540, 519, 21578, 3060, 543, 922, 5832, 540, 7161, 269, 8729, 547, 519, 946, 540, 513, 1134, 8153, 543, 2442, 2029, 267, 621, 568, 2653, 547, 4123, 873, 547, 4444, 543, 6133, 873, 1210, 1978, 530, 24548, 602, 849, 960, 609, 21578, 269, 1717, 267, 649, 616, 6158, 827, 2189, 1568, 267, 865, 972, 568, 1100, 3742, 9467, 607, 538, 3059, 19728, 563, 3963, 1684, 4658, 16179, 32454, 888, 2252, 32454, 666, 1406, 581, 11751, 543, 4421, 607, 3362, 607, 11670, 267, 1287, 1946, 616, 1004, 9140, 543, 7836, 865, 1454, 2724, 593, 873, 286, 4270, 267, 621, 779, 2241, 267, 1317, 789, 3494, 602, 922, 1871, 786, 2333, 936, 942, 267, 543, 1287, 789, 666, 6133, 621, 585, 811, 2724, 269, 12321, 1328, 22939, 476, 18605, 267, 1822, 20789, 338, 585, 513, 5373, 540, 513, 4224, 1317, 789, 899, 4224, 12400, 267, 2094, 789, 666, 723, 873, 585, 1863, 267, 855, 1317, 540, 519, 1871, 540, 713, 1808, 5373, 607, 621, 568, 606, 23088, 563, 763, 2856, 267, 4061, 267, 568, 602, 952, 594, 4444, 606, 23088, 585, 476, 1911, 267, 1822, 20789, 338, 267, 538, 519, 2104, 594, 666, 1191, 961, 621, 585, 811, 2724, 1547, 898, 568, 513, 2189, 10697, 267, 799, 538, 3069, 1058, 2285, 621, 513, 2362, 1871, 2094, 972, 568, 1100, 824, 899, 621, 269, 0, 21093, 513, 1007, 21937, 610, 6539, 1399, 666, 581, 513, 1360, 3078, 942, 269, 1411, 723, 513, 2898, 2603, 547, 1413, 4464, 547, 1700, 689, 2866, 543, 1404, 1485, 547, 2879, 10212, 956, 543, 524, 3291, 956, 269, 1809, 596, 849, 723, 519, 5539, 540, 5329, 707, 1007, 11537, 4620, 538, 1434, 1072, 269, 2060, 602, 538, 2247, 267, 1577, 721, 1413, 5702, 693, 930, 17022, 1416, 17950, 585, 1762, 10130, 563, 309, 3147, 1149, 616, 1175, 835, 540, 519, 2565, 3334, 540, 23833, 1416, 585, 1762, 10130, 269, 1358, 948, 2149, 707, 4620, 1996, 3676, 602, 666, 1291, 547, 4049, 4576, 267, 9659, 267, 543, 1256, 3170, 1275, 269, 634, 2010, 540, 10074, 707, 4620, 786, 991, 547, 4096, 593, 741, 2085, 267, 6197, 267, 543, 1141, 789, 2661, 269, 13693, 707, 6539, 1399, 543, 21937, 16943, 827, 799, 10074, 616, 5078, 585, 873, 543, 875, 4749, 789, 991, 547, 581, 13950, 563, 1103, 1840, 547, 10074, 267, 29067, 543, 6539, 29181, 786, 2154, 15324, 1416, 971, 607, 7904, 320, 543, 8743, 5574, 267, 2295, 11988, 6604, 6646, 267, 543, 15499, 21313, 4152, 269, 1452, 5574, 1058, 1376, 6619, 540, 942, 630, 19925, 476, 275, 268, 277, 3275, 2025, 264, 2094, 930, 15495, 666, 2014, 5906, 1072, 2152, 952, 2451, 15860, 563, 2005, 779, 849, 4105, 547, 1832, 538, 2247, 602, 29067, 543, 6539, 29181, 991, 6296, 25462, 1107, 2356, 1169, 1079, 3275, 1107, 1256, 952, 596, 798, 711, 1544, 593, 2348, 873, 19081, 539, 676, 606, 4274, 269, 8617, 25462, 20674, 538, 5329, 741, 25151, 2635, 1247, 5329, 909, 609, 6296, 24422, 540, 741, 2960, 267, 4064, 267, 10772, 267, 543, 4522, 563, 19894, 18915, 2638, 5725, 616, 2838, 547, 6895, 707, 4620, 779, 1072, 2242, 543, 6952, 1022, 2042, 2038, 593, 269, 13689, 593, 707, 4620, 779, 2085, 543, 9742, 267, 2638, 5725, 949, 581, 2877, 9170, 689, 2899, 1169, 476, 277, 268, 1321, 3275, 909, 547, 1079, 2053, 829, 1032, 610, 811, 1419, 952, 2838, 1813, 547, 1072, 4145, 1808, 547, 707, 4620, 779, 9742, 269, 4438, 891, 11564, 267, 621, 568, 1898, 547, 1865, 1022, 7835, 538, 3527, 610, 2732, 1036, 6036, 609, 519, 16943, 547, 2232, 1022, 5817, 4145, 3533, 543, 14013, 563, 1432, 2306, 10368, 2978, 1271, 952, 707, 1762, 4620, 568, 7210, 888, 28536, 8251, 22475, 616, 1898, 585, 8159, 1018, 568, 4636, 609, 513, 7210, 4620, 1317, 789, 1683, 538, 3829, 1344, 827, 519, 3461, 779, 2589, 543, 2168, 2042, 602, 1131, 711, 581, 11593, 2139, 998, 513, 2168, 6514, 4805, 563, 2691, 2944, 7157, 676, 606, 4810, 17022, 945, 17358, 875, 1655, 547, 4612, 519, 2164, 7157, 267, 513, 4620, 10368, 2978, 666, 948, 10646, 5817, 2152, 602, 1223, 979, 32373, 539, 2394, 789, 1831, 811, 3978, 2042, 2663, 593, 1524, 519, 4155, 563, 6701, 1762, 10130, 5078, 585, 17022, 4411, 8955, 3797, 888, 290, 1245, 8955, 2126, 568, 4742, 3833, 9053, 1851, 1654, 1206, 607, 513, 2922, 1259, 547, 1521, 1928, 1510, 6527, 610, 6391, 538, 2831, 540, 782, 6502, 267, 1519, 1762, 4996, 1186, 543, 6539, 2906, 269, 12019, 8955, 3797, 585, 10130, 2337, 2569, 6553, 1247, 8195, 18398, 7067, 5773, 1369, 2281, 267, 799, 2337, 2569, 9636, 1247, 5009, 5160, 7816, 8195, 563, 5472, 891, 3800, 786, 6157, 948, 2327, 596, 723, 513, 7772, 995, 267, 2635, 4620, 2429, 922, 10715, 1700, 689, 21937, 3125, 998, 15296, 543, 3564, 269, 5901, 538, 2247, 602, 23833, 1416, 568, 2141, 1732, 982, 19535, 1416, 282, 6952, 1022, 4145, 2038, 593, 1354, 789, 1831, 1454, 8273, 2042, 1524, 519, 1899, 269, 13185, 609, 707, 16943, 827, 1018, 1826, 540, 15324, 1416, 4640, 568, 1318, 585, 596, 563, 13014, 2386, 596, 1246, 909, 609, 6296, 2564, 11400, 1700, 1519, 10368, 8047, 4255, 952, 2556, 1700, 547, 1832, 3950, 540, 1022, 2242, 538, 2623, 610, 2732, 543, 9337, 25750, 9935, 607, 6700, 676, 873, 269, 23560, 782, 713, 786, 2322, 596, 835, 1900, 6619, 950, 12391, 7157, 585, 1346, 10475, 2370, 29067, 543, 6539, 29181, 269, 0, 13070, 549, 1150, 2722, 568, 513, 2244, 14025, 2359, 1062, 602, 26779, 4054, 543, 19211, 609, 6694, 7031, 543, 5924, 13184, 538, 513, 1623, 25027, 6073, 269, 3397, 549, 1150, 2722, 2853, 666, 3142, 3875, 2640, 267, 971, 607, 3037, 5726, 267, 9265, 5726, 267, 8476, 1216, 2298, 267, 2799, 7693, 11729, 267, 543, 8476, 6043, 540, 519, 29436, 1815, 4722, 547, 2916, 1689, 563, 13070, 549, 1150, 2722, 1949, 723, 513, 2189, 5413, 538, 602, 789, 666, 3524, 6856, 513, 1713, 2179, 540, 3327, 689, 519, 5790, 267, 799, 814, 519, 1761, 547, 11574, 2916, 1689, 563, 1607, 2376, 786, 2263, 519, 1523, 540, 29436, 1150, 2722, 3327, 17099, 543, 741, 1761, 547, 3565, 547, 4264, 8105, 543, 2916, 1689, 17846, 563, 1432, 616, 12539, 28946, 1080, 888, 27793, 17099, 616, 911, 323, 762, 14998, 602, 2099, 519, 1318, 547, 12520, 835, 11973, 9522, 540, 3327, 8166, 6697, 630, 4596, 273, 324, 264, 883, 519, 5790, 563, 27793, 17099, 616, 851, 540, 513, 2344, 2861, 7271, 585, 19086, 8511, 3154, 5434, 267, 538, 799, 606, 11769, 602, 32307, 3327, 8166, 610, 824, 8511, 9362, 666, 15558, 741, 5434, 676, 11449, 3327, 17099, 689, 513, 1788, 602, 6971, 8511, 3154, 5434, 563, 763, 2856, 568, 602, 267, 676, 8380, 513, 3902, 593, 3327, 5434, 267, 621, 5932, 513, 2883, 24539, 585, 3549, 543, 2043, 547, 2569, 741, 3327, 11640, 563, 27793, 17099, 616, 6383, 676, 3785, 602, 2569, 8511, 3154, 5434, 610, 4894, 3327, 8166, 689, 519, 5790, 269, 1452, 3785, 666, 2039, 689, 7791, 1648, 3785, 547, 4104, 5726, 543, 556, 16396, 3785, 563, 763, 3327, 3524, 652, 1674, 1761, 540, 891, 3785, 568, 6027, 543, 20240, 267, 543, 519, 4611, 3327, 17099, 666, 581, 4421, 547, 3549, 610, 2043, 945, 1616, 547, 15558, 741, 1378, 8511, 3154, 5434, 269, 12539, 17099, 616, 1419, 1031, 676, 3549, 547, 2743, 17319, 3327, 5786, 9072, 610, 607, 851, 540, 513, 3327, 15558, 1154, 1982, 547, 3035, 3327, 29591, 563, 1432, 568, 3397, 549, 1150, 2722 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1262, 4353, 269, 7025, 19047, 26279, 6624, 4207, 5931, 6451, 2825, 6835, 267, 8716, 2463, 2509, 7320, 543, 5009, 5726, 3646, 269, 12267, 827, 10995, 267, 17519, 32613, 2209, 543, 25438, 3796, 4161, 11475, 543, 6536, 7071, 585, 891, 15999, 7068, 262, 5107, 538, 8134, 269, 1306, 513, 1267, 267, 1053, 11349, 2565, 3206, 1983, 3823, 1480, 5872, 609, 7320, 543, 922, 1764, 593, 9265, 780, 1262, 309, 269, 9752, 11150, 26279, 2414, 7520, 4514, 6278, 609, 519, 1570, 267, 2015, 10128, 19180, 2200, 267, 971, 607, 32026, 15386, 32613, 1807, 543, 25438, 850, 2623, 538, 2067, 9249, 7258, 14070, 11269, 269, 3958, 267, 5000, 1362, 5717, 1472, 2686, 3604, 538, 9446, 532, 891, 2831, 543, 5401, 8086, 3594, 1141, 1053, 24808, 2123, 6114, 547, 1018, 789, 4312, 4121, 780, 3528, 3695, 11174, 5708, 10704, 593, 32613, 2209, 543, 25438, 3796, 1369, 519, 5943, 540, 13299, 543, 18691, 267, 649, 1683, 2852, 1053, 609, 3638, 3255, 547, 1174, 3444, 14426, 9423, 5389, 267, 5431, 11972, 6698, 267, 2992, 593, 2825, 19642, 267, 543, 632, 24554, 6848, 8456, 2509, 896, 1952, 3285, 730, 2249, 269, 11086, 267, 2502, 609, 891, 8903, 6386, 11942, 15834, 4296, 543, 8992, 6568, 1107, 7907, 1898, 585, 5483, 2518, 15114, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 17125, 614, 13530, 15618, 676, 22489, 31890, 593, 4873, 476, 2641, 267, 476, 1708, 273, 454, 13126, 281, 4880, 6549, 2917, 20211, 454, 7049, 637, 281, 19565, 11470, 1315, 11059, 1299, 23874, 1315, 4937, 267, 19565, 11470, 1315, 12292, 1315, 4937, 267, 19565, 11470, 1315, 12292, 1315, 8293, 597, 14843, 267, 19565, 11470, 1315, 26135, 1299, 18903, 267, 19565, 11470, 1315, 4317, 21771, 1315, 14886, 1222, 267, 19565, 11470, 1315, 4317, 21771, 1315, 8682, 7232, 4614, 655, 1299, 8682, 7304, 601, 4800, 454, 8340, 519, 8191, 281, 19534, 267, 18248, 267, 12108, 267, 9365, 267, 6153, 1348, 338, 267, 8835, 267, 17749, 267, 570, 3518, 331, 337, 454, 26705, 281, 661, 1504, 20211, 454, 24246, 593, 8835, 454, 288, 1895, 540, 9589, 3765, 7257, 2831, 16137, 547, 5660, 741, 9583, 24631, 7060, 11652, 2933, 1765, 15290, 789, 960, 1927, 547, 555, 23702, 513, 5636, 664, 779, 3801, 547, 21102, 741, 9059, 563, 295, 14709, 267, 513, 15454, 29160, 267, 543, 1200, 3662, 2828, 723, 7608, 602, 789, 786, 2760, 581, 530, 23275, 685, 2785, 328, 1513, 269, 9282, 789, 616, 1142, 9589, 267, 741, 7060, 616, 865, 1055, 18566, 1765, 295, 14709, 9887, 666, 8580, 675, 2250, 1845, 630, 663, 1152, 2250, 1845, 28931, 7474, 1100, 3318, 9059, 22086, 518, 1131, 3442, 1022, 540, 873, 607, 513, 13959, 585, 15626, 1391, 338, 269, 1924, 3079, 540, 2469, 593, 4417, 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, 12292, 1315, 2353, 580, 2209, 1299, 595, 10635, 617, 3796, 1315, 19088, 1108, 543, 23205, 16161, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6637, 476, 1626, 281, 5600, 2692, 1846, 543, 962, 778, 1206, 910, 8342, 593, 519, 4826, 2439, 5970, 596, 2479, 16545, 2713, 593, 519, 1216, 286, 2107, 6148, 2469, 593, 513, 29413, 23593, 286, 4270, 267, 972, 616, 1079, 5863, 3681, 602, 666, 1118, 1346, 9909, 2097, 3020, 910, 2777, 2692, 1846, 543, 586, 778, 1206, 256, 2913, 781, 4685, 883, 891, 9735, 13735, 5321, 543, 1451, 827, 741, 2189, 2934, 780, 5575, 267, 1577, 781, 2911, 827, 586, 778, 1206, 269, 962, 778, 1206, 616, 899, 2462, 267, 16681, 16996, 267, 16887, 1500, 585, 1004, 945, 2648, 7836, 942, 593, 519, 1216, 269, 1879, 596, 1589, 540, 513, 586, 25638, 267, 4952, 1945, 31042, 543, 3728, 1317, 586, 778, 1206, 616, 5921, 585, 10707, 547, 1114, 4025, 1247, 11981, 782, 519, 635, 325, 2176, 540, 1753, 269, 2368, 1256, 723, 10977, 20115, 267, 3905, 8685, 338, 267, 543, 7260, 519, 11596, 256, 962, 778, 1206, 616, 2356, 11262, 676, 3885, 610, 3549, 945, 946, 873, 585, 7477, 725, 610, 2027, 2621, 780, 3086, 267, 1018, 952, 596, 1616, 513, 18241, 1747, 547, 3251, 1318, 593, 519, 1216, 1510, 3001, 1472, 1932, 1454, 286, 2334, 781, 1141, 2777, 2692, 1846, 2097, 538, 256, 1452, 616, 899, 13735, 8075, 267, 18385, 546, 18088, 538, 835, 5544, 269, 5994, 2348, 707, 1378, 2370, 1753, 11303, 676, 4190, 5784, 540, 12647, 267, 8933, 267, 610, 536, 904, 269, 1411, 1223, 30164, 621, 2705, 596, 899, 267, 1175, 899, 513, 2834, 2777, 267, 855, 950, 596, 1900, 3544, 267, 596, 9364, 581, 30870, 676, 519, 9543, 3280, 540, 6329, 543, 4195, 2011, 269, 3509, 1004, 2972, 1210, 2777, 2692, 1846, 585, 10068, 15143, 610, 15964, 1205, 25498, 609, 1920, 543, 2828, 780, 2467, 616, 849, 5179, 586, 778, 1206, 799, 9192, 2609, 689, 1312, 10600, 269, 16359, 586, 778, 1206, 616, 3532, 2614, 547, 1847, 1472, 3533, 899, 2757, 586, 778, 1206, 267, 855, 1869, 1683, 513, 6899, 2230, 547, 6001, 543, 7938, 785, 269, 1924, 267, 952, 596, 4941, 547, 979, 2620, 4262, 10068, 610, 3643, 2789, 18353, 1282, 707, 16314, 267, 513, 5179, 586, 25638, 1131, 581, 3501, 2439, 4131, 803, 2671, 930, 1187, 5013, 827, 1142, 1826, 540, 6077, 1384, 265, 634, 1158, 781, 4102, 586, 25638, 568, 1572, 834, 288, 3960, 600, 257, 543, 12851, 547, 513, 10424, 1920, 282, 621, 781, 3476, 982, 513, 11176, 2361, 2336, 265, 2368, 2413, 2777, 2692, 1846, 1413, 865, 3579, 602, 789, 18613, 13777, 22618, 5624, 4721, 2336, 265, 1703, 568, 513, 4583, 13735, 8498, 1572, 834, 295, 531, 784, 7345, 257, 538, 10476, 1141, 17137, 2661, 593, 2777, 2692, 1846, 1572, 834, 329, 16218, 3010, 3383, 1985, 942, 2576, 12134, 596, 2436, 596, 4782, 513, 2777, 29539, 610, 513, 586, 25638, 267, 3314, 602, 1312, 2709, 6909, 2081, 547, 1995, 1272, 593, 519, 1216, 269, 6787, 596, 3442, 513, 5179, 586, 25638, 585, 3432, 344, 9035, 610, 513, 2777, 29539, 585, 12560, 18956, 338, 267, 2901, 1259, 267, 596, 2811, 538, 585, 606, 20605, 3460, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 713, 2376, 649, 786, 948, 596, 1174, 519, 3604, 1063, 2777, 16996, 543, 586, 778, 1206, 269, 1284, 3580, 2263, 1585, 3344, 971, 607, 2713, 2833, 267, 543, 2010, 540, 8043, 269, 1403, 596, 2461, 5461, 538, 3695, 2139, 2777, 16996, 267, 2638, 856, 938, 5542, 563, 1432, 568, 519, 16338, 9737, 513, 962, 25638, 5288, 513, 5600, 4425, 520, 888, 31359, 16996, 8428, 538, 741, 1374, 267, 3483, 267, 543, 29319, 269, 589, 586, 25638, 568, 513, 6077, 5097, 2966, 585, 12257, 2267, 2358, 267, 1419, 2404, 609, 17195, 269, 589, 2777, 10935, 568, 811, 28330, 547, 513, 19335, 1753, 593, 1216, 269, 2755, 2777, 16996, 666, 581, 9280, 609, 29319, 2147, 547, 586, 778, 1206, 267, 789, 616, 3335, 2966, 585, 4313, 543, 6905, 13978, 2864, 982, 1164, 18286, 2951, 563, 300, 19318, 962, 25638, 5288, 5600, 4425, 520, 454, 300, 19318, 586, 778, 1206, 616, 31933, 267, 5179, 14617, 8043, 3710, 585, 2267, 2358, 693, 2362, 11250, 269, 1358, 2709, 519, 1655, 540, 1312, 10600, 267, 9256, 519, 4313, 540, 513, 2777, 10935, 609, 519, 22231, 543, 2773, 540, 513, 586, 25638, 269, 5600, 16996, 267, 593, 519, 824, 1688, 267, 616, 811, 19335, 543, 4998, 585, 16837, 569, 2713, 610, 3695, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9501, 3036, 4811, 1299, 23414, 3918, 9569, 1315, 674, 5109, 1315, 12213, 7256, 674, 5109, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 589, 1906, 1296, 1394, 267, 594, 729, 606, 3742, 4759, 540, 513, 1286, 27423, 8468, 267, 1141, 649, 1131, 1865, 3388, 16669, 1107, 689, 2599, 12381, 547, 4155, 15143, 269, 2290, 1554, 267, 513, 8284, 3593, 11540, 513, 2243, 2147, 547, 707, 1257, 6256, 267, 6998, 827, 519, 2956, 540, 513, 1286, 2599, 19820, 5346, 269, 1306, 513, 19023, 2964, 545, 267, 594, 3576, 621, 2390, 8885, 547, 1683, 513, 2143, 7778, 540, 1018, 4386, 1282, 513, 19820, 5346, 543, 922, 2640, 269, 9741, 1705, 594, 917, 1250, 3210, 1131, 1291, 803, 1524, 606, 20605, 15529, 8559, 780, 2026, 12556, 1131, 723, 621, 267, 1175, 1079, 2395, 1310, 1250, 13181, 2022, 267, 1250, 3972, 344, 2025, 6822, 534, 3323, 9117, 909, 269, 898, 5433, 22376, 1375, 880, 267, 17388, 547, 17108, 267, 543, 10057, 17405, 693, 606, 24034, 2557, 269, 2060, 1250, 2487, 3992, 4195, 538, 2247, 267, 594, 6785, 10502, 1018, 2877, 547, 581, 2944, 1107, 606, 2599, 19820, 5346, 256, 1717, 267, 972, 729, 835, 1966, 282, 5103, 1373, 18164, 827, 6517, 267, 594, 1185, 2760, 5340, 513, 19820, 5346, 8885, 269, 3733, 6791, 2482, 5097, 538, 5868, 543, 18203, 2864, 982, 15324, 5826, 269, 11048, 267, 11439, 609, 2228, 18862, 543, 1250, 8468, 2828, 262, 19015, 267, 594, 4956, 547, 1491, 593, 519, 4161, 780, 13420, 5792, 609, 513, 1305, 540, 6216, 20642, 8141, 11690, 338, 267, 2011, 12086, 267, 543, 4492, 12086, 267, 594, 24389, 593, 713, 13395, 7045, 269, 594, 6170, 3108, 23939, 8524, 532, 1142, 5057, 5018, 538, 1250, 4505, 2022, 267, 14577, 873, 9935, 267, 543, 13868, 4376, 12816, 856, 269, 4438, 713, 1184, 267, 594, 6591, 513, 4514, 7071, 585, 519, 6946, 7544, 540, 7344, 1949, 1369, 938, 6472, 267, 1945, 1082, 1004, 26777, 950, 3274, 7432, 519, 1883, 543, 6117, 1055, 780, 4913, 267, 1919, 3576, 606, 6397, 2490, 950, 594, 11402, 513, 12357, 678, 3430, 1782, 6846, 4947, 689, 2620, 1369, 519, 2599, 15922, 269, 3143, 2179, 540, 7634, 1223, 22942, 922, 2707, 267, 6028, 803, 588, 22981, 543, 14221, 269, 2991, 782, 267, 952, 594, 7948, 1405, 4194, 713, 3390, 267, 875, 1223, 594, 18390, 18973, 1866, 2228, 286, 901, 4843, 513, 11541, 2943, 4101, 3510, 5432, 547, 4896, 945, 814, 2479, 8214, 1194, 18789, 3785, 1107, 6849, 9465, 602, 21279, 1967, 543, 1582, 12431, 4269, 780, 291, 17827, 711, 547, 1577, 713, 5634, 1305, 3724, 15658, 803, 267, 594, 5828, 547, 1250, 11967, 1286, 27423, 8468, 2899, 1586, 269, 5502, 540, 5275, 5796, 267, 2705, 267, 594, 13006, 1169, 1900, 3144, 3976, 2484, 267, 6045, 519, 2589, 267, 543, 4280, 585, 5583, 269, 10738, 3764, 267, 5363, 10372, 23953, 538, 267, 8151, 689, 2009, 3123, 547, 10368, 4255, 269, 25980, 2663, 267, 998, 7104, 7326, 543, 23274, 267, 519, 3597, 2014, 2968, 2312, 1107, 513, 10690, 3002, 13104, 31954, 1996, 519, 9688, 32032, 269, 20331, 609, 17105, 6015, 267, 594, 9395, 2989, 519, 2556, 31211, 267, 16701, 21899, 519, 544, 5417, 2287, 3280, 780, 1103, 24794, 1051, 267, 1250, 1995, 6039, 607, 1312, 513, 12576, 543, 513, 4001, 762, 4090, 269, 3502, 1152, 1705, 594, 6707, 2347, 1250, 1101, 2599, 19820, 5346, 630, 663, 4362, 513, 5892, 7164, 3390, 1070, 855, 594, 849, 4121, 519, 1871, 540, 4687, 1702, 543, 23712, 1369, 2950, 269, 3807, 607, 513, 1134, 31720, 22633, 6174, 8255, 12347, 1813, 547, 1697, 1416, 543, 3007, 267, 865, 1932, 798, 3811, 15473, 8853, 593, 3755, 5885, 835, 1776, 2509, 1455, 3853, 780, 3383, 1247, 7713, 513, 2241, 1523, 899, 513, 1286, 2599, 19820, 5346, 1522, 3100, 24735, 7620, 267, 891, 4205, 1419, 1291, 721, 1524, 3078, 10092, 4904, 609, 1565, 3255, 267, 2591, 267, 543, 6038, 267, 2208, 269, 1656, 3884, 1405, 602, 1018, 2306, 1373, 851, 540, 513, 2146, 865, 14785, 286, 19457, 2833, 267, 4543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 295, 340, 267, 13056, 8862, 523, 282, 15651, 267, 3212, 328, 282, 9149, 267, 9149, 11219, 340, 454, 1103, 713, 1353, 267, 649, 1031, 519, 4457, 11638, 30710, 32183, 8836, 14740, 7726, 32666, 630, 13967, 3722, 296, 304, 264, 543, 6394, 4570, 1239, 689, 476, 272, 267, 271, 3607, 5171, 547, 18928, 4983, 519, 2790, 2203, 540, 2686, 3961, 538, 4457, 3818, 30710, 10708, 269, 4112, 528, 2218, 3815, 2079, 543, 7293, 3830, 9781, 941, 5340, 593, 519, 1239, 547, 3605, 519, 3815, 2497, 543, 7516, 540, 2686, 3961, 269, 634, 2618, 6248, 3601, 540, 519, 4336, 941, 22759, 3585, 24019, 538, 476, 273, 267, 278, 4510, 1007, 3818, 30710, 5171, 689, 476, 276, 5065, 6803, 2516, 538, 962, 18365, 534, 11662, 538, 3624, 269, 634, 2164, 8612, 602, 18328, 3722, 296, 304, 1185, 10257, 11973, 3601, 543, 1434, 3514, 17523, 269, 634, 21712, 2203, 540, 2686, 3961, 15538, 540, 476, 273, 2034, 19195, 2188, 267, 23532, 8836, 14740, 543, 6301, 6894, 8836, 14740, 538, 3427, 269, 634, 1101, 2362, 1931, 3815, 729, 7768, 540, 13283, 585, 6803, 1919, 267, 6803, 10343, 267, 3909, 3661, 267, 543, 6803, 15007, 267, 1247, 519, 2034, 16922, 476, 273, 1101, 19195, 2188, 267, 4317, 11870, 338, 543, 667, 11395, 9177, 269, 634, 1761, 3498, 543, 7687, 540, 18328, 3722, 296, 304, 616, 5941, 269, 630, 322, 264, 476, 1001, 275, 14905, 267, 782, 2924, 11603, 563, 303, 1263, 267, 2098, 654, 282, 19681, 267, 700, 570, 282, 29883, 267, 808, 454, 2414, 8495, 1761, 1981, 2188, 585, 1514, 4160, 267, 3226, 1514, 5872, 4160, 1851, 519, 4457, 10708, 269, 589, 3444, 22891, 1072, 5619, 729, 5342, 538, 2871, 836, 345, 17924, 2749, 540, 519, 2871, 836, 323, 784, 19435, 1141, 1164, 1153, 1053, 9907, 476, 1724, 547, 476, 1240, 1296, 941, 25945, 269, 634, 3732, 729, 5697, 689, 782, 1164, 3506, 538, 519, 2749, 1210, 513, 476, 273, 22533, 4351, 12440, 10386, 4480, 269, 4317, 5872, 4160, 729, 12290, 1210, 519, 4317, 19983, 17520, 17361, 269, 6176, 6394, 538, 519, 5619, 3769, 281, 22097, 267, 1582, 12656, 4003, 593, 1153, 2773, 267, 2078, 609, 3610, 543, 9905, 267, 9547, 609, 1582, 268, 13548, 267, 10781, 267, 543, 15970, 2511, 540, 519, 3993, 269, 634, 2385, 30512, 2078, 267, 4481, 519, 2078, 1063, 17013, 543, 741, 11299, 267, 729, 12290, 1210, 519, 3993, 13613, 9408, 1446, 540, 519, 22802, 540, 9977, 543, 25398, 5900, 16670, 269, 8682, 12635, 729, 12290, 1210, 519, 25347, 6199, 8682, 7232, 4614, 655, 17361, 269, 634, 2789, 5276, 9695, 4480, 729, 4294, 547, 8495, 12205, 1063, 5697, 1761, 1981, 2188, 543, 1514, 5872, 4160, 267, 609, 11941, 585, 12440, 10386, 269, 13722, 1920, 4747, 267, 2539, 1582, 12635, 267, 543, 29383, 941, 3648, 2404, 609, 1514, 5872, 4160, 1851, 10708, 269, 25159, 4857, 607, 1981, 2188, 540, 4160, 4524, 538, 519, 3332, 267, 971, 607, 4008, 267, 941, 711, 2404, 609, 1514, 5872, 4160, 538, 713, 3732, 269, 1452, 2164, 941, 5812, 609, 1346, 540, 824, 2090, 5342, 5631, 538, 519, 2136, 2276, 543, 2342, 269, 3204, 8973, 1875, 1606, 22658, 2164, 1644, 547, 4008, 267, 789, 991, 13156, 538, 519, 2796, 540, 15970, 6163, 540, 4457, 11299, 563, 31282, 518, 267, 15593, 686, 700, 5919, 1230, 30448, 267, 27813, 700, 5919, 25415, 267, 2353, 2581, 715, 5919, 570, 8527, 614, 267, 18466, 548, 808, 5919, 590, 1171, 691, 267, 26778, 808, 563, 1607, 2376, 11828, 7111, 1977, 4683, 10708, 262, 1526, 745, 531, 540, 1514, 1983, 267, 543, 3347, 1063, 891, 1983, 543, 605, 13808, 5615, 607, 4857, 538, 519, 6715, 13577, 12745, 783, 7844, 540, 19396, 4886, 630, 299, 3253, 267, 476, 1220, 275, 1040, 32505, 602, 1628, 2390, 519, 1514, 1983, 9342, 540, 7111, 1977, 1762, 1004, 616, 3769, 269, 7498, 27770, 648, 268, 24171, 267, 22216, 2643, 282, 4303, 13305, 1149, 267, 11870, 320, 700, 563, 9824, 580, 542, 543, 17035, 616, 7184, 12082, 538, 2757, 3979, 1977, 2528, 269, 4578, 2303, 602, 3979, 1977, 10708, 2226, 2362, 15977, 3928, 540, 3909, 2238, 543, 4978, 982, 741, 9905, 630, 289, 778, 2006, 267, 3627, 8725, 267, 1299, 744, 262, 300, 531, 2917, 267, 476, 1220, 276, 282, 8055, 267, 10787, 529, 267, 19239, 517, 267, 1299, 3204, 1676, 639, 267, 476, 1220, 274, 1040, 20876, 891, 1239, 267, 713, 2376, 12116, 7498, 312, 532, 267, 24204, 8862, 523, 282, 12390, 267, 2725, 2131, 344, 2426, 454, 1103, 11526, 676, 934, 738, 4851, 267, 8733, 267, 543, 1514, 3854, 6436, 267, 519, 1353, 8947, 519, 9295, 540, 15366, 934, 738, 4851, 267, 15366, 9525, 267, 543, 29076, 2078, 547, 1134, 5630, 538, 14913, 7489, 1977, 10708, 269, 4635, 1239, 689, 519, 5753, 540, 8056, 580, 7847, 7043, 15994, 5530, 267, 476, 5392, 272, 14913, 7489, 1977, 10708, 7498, 306, 836, 267, 645, 26820, 282, 667, 1263, 267, 2473, 514, 1889, 328, 282, 700, 10224, 267, 2098, 12011, 534, 454, 31995, 1719, 538, 7553, 7939, 568, 10630, 538, 519, 2090, 540, 5042, 543, 1514, 1646, 269, 1717, 267, 519, 31607, 2090, 5631, 5031, 875, 7553, 7939, 10953, 1759, 593, 513, 7262, 1871, 1062, 269, 901, 1353, 3351, 2213, 513, 19976, 1374, 547, 4983, 519, 1646, 540, 7553, 7939, 543, 8268, 519, 7418, 540, 1114, 9431, 2994, 547, 7553, 1995, 3823, 519, 2038, 15730, 1646, 1974, 538, 513, 4457, 2551, 269, 589, 2698, 540, 476, 24062, 4457, 10708, 630, 720, 2039, 815, 476, 1015, 268, 1691, 1296, 264, 941, 4553, 909, 538, 513, 1614, 25686, 19976, 1353, 585, 476, 274, 1296, 269, 769, 1142, 5123, 540, 519, 1353, 267, 5171, 6192, 20390, 30105, 32313, 19938, 7726, 32666, 543, 11545, 32313, 17361, 269, 11778, 540, 21712, 5276, 1036, 11306, 7000, 602, 4457, 10708, 4080, 811, 1524, 30625, 269, 13560, 30625, 568, 811, 2500, 982, 909, 30625, 538, 7393, 14909, 7553, 1995, 543, 4227, 24379, 7553, 1995, 1282, 10708, 262, 1646, 269, 4746, 267, 519, 13261, 3252, 540, 3929, 9431, 2994, 538, 4457, 4282, 941, 5941, 269, 9736, 476, 1001, 275, 4139, 5742, 540, 16723, 3163, 563, 9515, 18288, 267, 15593, 514, 589, 454, 2026, 519, 9740, 7934, 1063, 3979, 1977, 543, 1247, 1053, 26251, 267, 606, 6514, 540, 2188, 3544, 519, 1153, 4259, 616, 1898, 269, 31158, 1194, 3101, 519, 6384, 540, 1920, 1604, 607, 9228, 676, 3979, 1977, 15730, 9038, 568, 813, 5242, 547, 1620, 519, 2078, 1063, 1920, 1604, 543, 4081, 9740, 269, 22034, 606, 8733, 5133, 267, 713, 1353, 6257, 519, 4162, 540, 1920, 1184, 4632, 543, 23607, 519, 10708, 262, 8226, 540, 2385, 14194, 3421, 1417, 5872, 543, 922, 3310, 593, 741, 5626, 1134, 5630, 269, 11778, 5815, 602, 513, 8101, 8167, 540, 519, 476, 9692, 15730, 9038, 945, 9228, 2385, 14194, 3421, 1417, 5872, 607, 2318, 543, 941, 4857, 607, 2348, 513, 7123, 5626, 1134, 5630, 267, 941, 811, 2693, 547, 723, 3328, 547, 1657, 8584, 2071, 3446, 1448, 25939, 267, 1164, 18628, 27607, 8464, 543, 1164, 9740, 1895, 15376, 267, 982, 1346, 15730, 9038, 945, 1705, 711, 13498, 2385, 14194, 3421, 1417, 5872, 607, 2318, 563, 19365, 338, 267, 3627, 918, 3626, 26232, 698, 1276, 328, 282, 22527, 267, 1412, 296, 19789, 8643, 681, 269, 715, 5919, 3619, 324, 6975, 267, 1546, 4011, 1695, 589, 5919, 715, 880, 574, 3120, 267, 5153, 7315, 773, 570, 5919, 670, 880, 514, 6373, 267, 23778, 590, 5919, 1656, 8565, 267, 715, 1446, 523, 715, 563, 293, 1168, 2090, 723, 8947, 519, 1198, 540, 14940, 543, 2686, 3961, 593, 6219, 946, 1851, 7489, 543, 7414, 29474, 10708, 269, 589, 3444, 268, 2425, 1113, 1353, 5342, 538, 11316, 262, 328, 609, 476, 13893, 5545, 1977, 543, 851, 11219, 17702, 1977, 10708, 12290, 513, 2203, 10128, 5545, 14940, 267, 2686, 3961, 267, 6219, 946, 267, 2101, 1272, 2621, 267, 543, 1514, 1489, 269, 5545, 1977, 10708, 20639, 2362, 593, 519, 5545, 9177, 17361, 543, 593, 519, 3212, 619, 685, 4317, 8081, 982, 519, 851, 11219, 17702, 1977, 10708, 269, 31056, 12205, 585, 6219, 946, 543, 15717, 3769, 15520, 14556, 1881, 2621, 543, 5545, 2686, 3961, 268, 2623, 15410, 269, 17738, 1185, 1434, 2949, 13352, 543, 6700, 602, 4655, 4478, 2686, 3961, 949, 3565, 547, 6219, 946, 269, 20163, 281, 23056, 26764, 1724, 454, 17359, 7956, 12232, 634, 3483, 540, 713, 1353, 568, 547, 2417, 519, 1620, 540, 875, 15970, 543, 519, 2078, 1063, 519, 2385, 543, 519, 6107, 3310, 15730, 4568, 946, 538, 11204, 1977, 3885, 267, 609, 1880, 3007, 547, 934, 738, 4851, 269, 11778, 8612, 602, 15366, 14246, 568, 513, 2178, 3815, 538, 17782, 15730, 4568, 946, 1851, 11204, 10708, 269, 634, 2385, 3917, 1926, 2078, 5129, 606, 1271, 1909, 538, 16715, 4568, 946, 585, 11204, 1977, 6107, 269, 6452, 738, 4851, 814, 606, 1764, 593, 519, 1377, 540, 14246, 267, 1852, 267, 543, 519, 2385, 3917, 1926, 2078, 585, 11204, 1977, 3885, 269, 28454, 5815, 602, 972, 616, 2189, 1920, 6127, 585, 11204, 1977, 3885, 602, 1058, 581, 2808, 950, 3384, 6604, 543, 2126, 3681, 563, 17359, 7956, 12232, 1306, 7214, 11082, 267, 1082, 540, 519, 18246, 4457, 7172, 12579, 723, 513, 2034, 4359, 4110, 538, 513, 1641, 1858, 543, 616, 3742, 538, 1382, 543, 14046, 8313, 269, 1358, 616, 538, 513, 2189, 2990, 547, 3895, 4457, 2528, 538, 513, 4914, 2686, 1604, 543, 547, 1265, 741, 9163, 998, 741, 14046, 2238, 269, 634, 1957, 568, 606, 3801, 547, 13686, 930, 1271, 1382, 4093, 676, 18246, 4457, 7172, 12579, 269, 898, 14550, 875, 18246, 4457, 7172, 12579, 3142, 811, 5380, 538, 1620, 1114, 4529, 540, 5101, 543, 4639, 269, 4256, 10781, 538, 13629, 543, 1382, 723, 1831, 851, 540, 741, 1582, 22325, 607, 4457, 31787, 563, 4537, 541, 6647, 267, 667, 918, 282, 15651, 267, 2473, 454, 22137, 540, 1582, 8410, 1061, 723, 11124, 689, 513, 3668, 540, 1312, 513, 4396, 7811, 3490, 543, 513, 2312, 4214, 540, 519, 2165, 269, 898, 568, 711, 2312, 2436, 1582, 8410, 1061, 568, 513, 4020, 689, 519, 5042, 9443, 267, 606, 3742, 851, 540, 7209, 610, 540, 519, 24178, 543, 17499, 267, 610, 513, 12214, 1184, 607, 8612, 689, 14715, 1382, 269, 7439, 568, 621, 2312, 2436, 519, 5626, 4020, 540, 1582, 568, 1644, 547, 824, 2035, 267, 971, 607, 2123, 3961, 267, 1582, 12635, 267, 543, 519, 24178, 267, 607, 3006, 891, 3277, 547, 519, 2898, 1268, 610, 513, 2497, 610, 3693, 1369, 513, 1268, 269, 1548, 568, 10423, 568, 602, 519, 5354, 540, 3173, 3136, 547, 8263, 602, 1582, 8410, 1061, 267, 2705, 3989, 538, 3069, 267, 568, 5097, 18170, 676, 2825, 21876, 5103, 10731, 2963, 689, 519, 5778, 338, 31190, 540, 519, 2178, 3310, 540, 922, 4719, 1200, 527, 1464, 269, 901, 1353, 10924, 513, 4719, 8367, 267, 602, 1582, 8410, 1061, 568, 11095, 543, 602, 15730, 8226, 540, 2123, 267, 22228, 267, 543, 4081, 1582, 268, 1211, 640, 4386, 25144, 2066, 4529, 543, 2825, 6381, 269, 4578, 941, 6394, 1210, 513, 24019, 5619, 6293, 267, 12261, 883, 4457, 267, 689, 5354, 543, 12102, 10708, 538, 519, 4658, 781, 6243, 540, 3624, 269, 4400, 16726, 729, 1336, 1063, 519, 5354, 543, 12102, 10708, 267, 11021, 11095, 4412, 839, 885, 538, 519, 5250, 540, 1582, 8410, 1061, 563, 310, 517, 13690, 13648, 454, 17359, 7956, 12232, 7489, 1977, 1453, 543, 10708, 616, 606, 896, 2987, 4034, 580, 730, 1016, 28134, 538, 8377, 1382, 269, 901, 1353, 6322, 547, 2697, 1808, 12632, 540, 7489, 1016, 25364, 693, 1164, 1981, 540, 15730, 14968, 609, 2027, 3007, 547, 7489, 14940, 267, 14227, 4567, 630, 306, 2464, 267, 543, 741, 5872, 269, 13038, 26848, 9695, 3631, 941, 19034, 1210, 513, 3732, 540, 476, 14631, 274, 7489, 1977, 10708, 6502, 476, 1321, 1700, 1704, 689, 519, 476, 1220, 278, 1700, 1001, 273, 4993, 2657, 19877, 11752, 630, 6224, 3041, 269, 769, 1840, 547, 7489, 14940, 543, 14227, 4567, 630, 817, 612, 539, 676, 1920, 4747, 543, 15366, 2069, 1377, 267, 2085, 267, 4008, 267, 562, 18356, 267, 543, 1079, 6197, 4632, 267, 3728, 1426, 4616, 543, 2168, 2534, 267, 941, 849, 6417, 585, 538, 891, 3631, 269, 6206, 30661, 540, 14968, 538, 7489, 1977, 10708, 3769, 1978, 7489, 6803, 885, 630, 306, 11322, 7489, 267, 27208, 267, 543, 6404, 6803, 885, 267, 1970, 1920, 4747, 630, 283, 4968, 260, 540, 519, 8549, 24770, 5426, 267, 543, 1373, 5256, 269, 11638, 2364, 894, 5872, 2474, 1063, 1970, 1920, 4747, 543, 1079, 6803, 885, 267, 14913, 7489, 543, 19176, 602, 1185, 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 ]
[ 28029, 539, 563, 763, 13303, 9549, 19510, 540, 476, 4572, 271, 16798, 5191, 585, 782, 3909, 29559, 799, 941, 711, 20935, 547, 519, 3557, 543, 621, 849, 31045, 15474, 8567, 538, 1931, 547, 8396, 834, 1492, 6014, 2173, 1468, 626, 6891, 2668, 15474, 8567, 729, 513, 9168, 4528, 540, 8567, 799, 15091, 7292, 19454, 543, 18541, 269, 634, 21647, 941, 29211, 676, 31188, 2103, 971, 607, 21321, 560, 19161, 10458, 269, 769, 1010, 960, 12603, 476, 1839, 634, 11420, 3541, 1546, 28852, 516, 5554, 542, 630, 23562, 4868, 19317, 18745, 540, 519, 4436, 15215, 1070, 19161, 10458, 4371, 519, 2070, 602, 519, 6196, 11620, 540, 519, 6426, 729, 25619, 2059, 609, 13980, 540, 519, 1715, 11620, 267, 10645, 602, 4906, 729, 711, 513, 4035, 855, 729, 3079, 540, 589, 32569, 5169, 543, 646, 849, 10645, 602, 29747, 13609, 729, 519, 1007, 3190, 11672, 563, 1103, 519, 5756, 2094, 922, 19802, 267, 26401, 814, 1831, 513, 3119, 3090, 540, 519, 14195, 269, 16024, 1014, 30227, 667, 269, 590, 5500, 1457, 10305, 713, 547, 519, 3786, 781, 1164, 2669, 17167, 543, 834, 684, 639, 783, 4999, 540, 606, 4853, 3786, 1950, 543, 513, 11318, 9744, 2580, 799, 2451, 3297, 2484, 811, 22168, 982, 2582, 26928, 11318, 6703, 971, 607, 4258, 22119, 332, 7224, 610, 7066, 4565, 1074, 320, 269, 769, 476, 1220, 276, 519, 2136, 8315, 4937, 13909, 11280, 476, 2767, 5130, 267, 519, 4266, 540, 519, 3786, 781, 19802, 267, 607, 4139, 14195, 3816, 27320, 4303, 269, 29581, 583, 5576, 28704, 10272, 519, 3135, 538, 5437, 476, 3192, 278, 267, 519, 1101, 4639, 4436, 4960, 27891, 547, 798, 865, 267, 4553, 676, 1010, 24288, 267, 29581, 583, 918, 2129, 331, 267, 538, 5437, 476, 2735, 280, 269, 769, 513, 2854, 3948, 593, 519, 535, 3424, 328, 996, 16683, 540, 519, 19802, 267, 918, 2129, 331, 4330, 26401, 607, 519, 834, 323, 1046, 652, 543, 1034, 27337, 881, 3184, 540, 4436, 1686, 8487, 4407, 19742, 3646, 1185, 606, 1764, 593, 1857, 6644, 267, 519, 7952, 729, 519, 1152, 13539, 609, 519, 4390, 547, 24057, 992, 519, 2229, 269, 589, 2101, 4729, 676, 2367, 538, 519, 5580, 3235, 3559, 976, 540, 519, 4108, 12090, 538, 476, 4350, 279, 269, 1358, 5156, 6628, 1131, 979, 547, 2112, 936, 13609, 781, 9709, 12289, 540, 16231, 657, 21754, 25474, 267, 543, 5125, 1131, 6336, 269, 634, 1544, 729, 547, 24057, 992, 13609, 610, 7654, 18272, 3729, 1864, 269, 19893, 3769, 4937, 3426, 560, 32400, 23894, 267, 4937, 3426, 560, 9546, 750, 13153, 4858, 1276, 1080, 577, 267, 4937, 3426, 560, 30686, 16199, 1457, 267, 31288, 30247, 2052, 30213, 267, 543, 4937, 548, 583, 333, 656, 8210, 7773, 13153, 654, 6308, 548, 17754, 267, 945, 8678, 513, 24242, 18188, 676, 744, 828, 560, 548, 583, 333, 656, 17713, 744, 3122, 543, 11683, 29581, 3578, 717, 4592, 2017, 628, 540, 519, 2806, 933, 15590, 269, 634, 9709, 19420, 729, 23545, 539, 1310, 519, 19142, 540, 519, 22540, 15716, 538, 5181, 476, 4350, 279, 269, 3509, 540, 519, 1482, 1004, 941, 3238, 538, 513, 19420, 9709, 585, 476, 3707, 271, 267, 855, 1586, 519, 5171, 4957, 741, 8186, 543, 20483, 1524, 267, 14356, 1317, 540, 519, 8560, 540, 519, 12512, 1310, 519, 2038, 24984, 538, 519, 2112, 269, 28055, 338, 547, 18272, 3729, 13609, 759, 25390, 538, 7118, 652, 538, 476, 3707, 274, 267, 609, 7009, 940, 13153, 570, 637, 1188, 578, 11836, 744, 3122, 781, 1895, 543, 12394, 547, 9514, 909, 13609, 781, 7077, 538, 476, 3707, 274, 269, 11153, 811, 8942, 4553, 1354, 519, 8959, 476, 736, 5147, 476, 3707, 275, 4729, 267, 799, 729, 693, 2547, 14356, 12592, 676, 519, 2810, 19175, 540, 513, 4436, 14710, 538, 519, 2112, 269, 634, 4729, 267, 851, 540, 20491, 966, 1779, 344, 4471, 267, 3238, 1849, 9476, 13153, 853, 879, 742, 28086, 9544, 513, 10514, 538, 519, 10554, 4055, 693, 16423, 781, 700, 1515, 693, 681, 770, 29118, 269, 13609, 267, 945, 7522, 569, 15068, 267, 2663, 10288, 5260, 720, 1065, 5142, 1023, 4611, 538, 519, 11056, 540, 811, 982, 476, 275, 267, 12010, 1004, 563, 299, 523, 328, 681, 3971, 523, 560, 22844, 781, 570, 8922, 874, 540, 519, 4024, 630, 4350, 276, 28931, 323, 17805, 532, 519, 476, 4350, 275, 715, 675, 3088, 326, 681, 958, 11652, 10493, 807, 630, 4350, 279, 28931, 16225, 532, 519, 476, 4350, 277, 14400, 21396, 1765, 335, 7748, 1229, 2553, 540, 8254, 3350, 543, 11049, 602, 6766, 2663, 8874, 269, 1715, 2553, 971, 607, 7658, 874, 9369, 14485, 543, 12514, 15841, 593, 13475, 941, 6964, 269, 5637, 8874, 2611, 11786, 267, 607, 741, 12716, 20519, 568, 538, 29323, 762, 689, 741, 9070, 663, 2358, 540, 2817, 31012, 16431, 563, 302, 339, 1729, 7671, 15841, 513, 27779, 538, 476, 3192, 277, 1996, 21321, 560, 681, 7238, 1067, 267, 945, 7856, 513, 30732, 2280, 11331, 834, 763, 4144, 776, 540, 14732, 7671, 267, 7454, 31805, 267, 589, 17389, 2668, 1879, 513, 812, 3957, 28089, 2983, 1170, 7856, 519, 1482, 30732, 2280, 538, 519, 5480, 3336, 267, 646, 1932, 729, 21991, 3176, 269, 681, 7238, 1067, 729, 535, 1441, 476, 272, 267, 4335, 1546, 28852, 12201, 267, 543, 2983, 1170, 729, 30992, 547, 3670, 3275, 262, 26646, 269, 634, 4845, 540, 2983, 1170, 729, 4389, 593, 9029, 267, 543, 519, 2013, 729, 5555, 12628, 1739, 513, 7766, 9029, 1317, 519, 942, 3970, 585, 25937, 513, 5391, 601, 2013, 1185, 1163, 1600, 563, 27001, 476, 4350, 274, 543, 519, 2887, 540, 13303, 5125, 538, 476, 3707, 276, 267, 811, 982, 476, 274, 269, 276, 2929, 16586, 941, 7142, 547, 6108, 942, 538, 5834, 13122, 543, 30813, 585, 2797, 4128, 267, 543, 5111, 476, 6507, 267, 1822, 16586, 941, 13401, 585, 835, 610, 1776, 1106, 540, 4187, 676, 7981, 30271, 267, 10470, 2173, 691, 658, 267, 543, 519, 3540, 5126, 1062, 269, 3509, 540, 891, 16586, 1185, 6039, 538, 2229, 267, 519, 4108, 267, 610, 538, 3540, 7158, 267, 799, 13087, 873, 547, 4497, 538, 1016, 11437, 543, 24242, 1996, 519, 21647, 269, 0, 17220, 11288, 543, 1104, 10997, 6976, 547, 16381, 2284, 14332, 525, 5549, 269, 6258, 2859, 268, 10741, 538, 513, 1007, 6885, 610, 9184, 7102, 3486, 11288, 543, 1104, 10997, 616, 6976, 538, 851, 547, 16381, 2284, 14332, 525, 5549, 269, 6258, 2859, 268, 10741, 538, 513, 1007, 6885, 610, 9184, 4139, 11288, 6976, 547, 16381, 2284, 14332, 525, 5549, 269, 6258, 2859, 268, 10741, 538, 513, 1007, 6885, 610, 9184, 7102, 3486, 11288, 568, 6976, 538, 851, 547, 16381, 2284, 14332, 525, 5549, 269, 6258, 2859, 268, 10741, 538, 513, 1007, 6885, 610, 9184, 454, 5445, 616, 849, 1336, 538, 22600, 17311, 2127, 267, 3001, 538, 543, 856, 609, 519, 20352, 543, 1256, 538, 4195, 1216, 2282, 519, 4262, 269, 1358, 2049, 2206, 569, 610, 538, 1507, 2516, 269, 20661, 1419, 14919, 538, 11818, 9055, 693, 1970, 20352, 269, 901, 568, 835, 540, 519, 1614, 1034, 1455, 11818, 16142, 538, 519, 21475, 6261, 6680, 267, 519, 1079, 1866, 616, 519, 15454, 11818, 16356, 267, 595, 1105, 541, 327, 19434, 5605, 569, 337, 1506, 333, 577, 657, 543, 17642, 564, 760, 11818, 16356, 267, 570, 6319, 523, 31788, 1073, 4615, 563, 763, 4563, 2389, 760, 1744, 1046, 630, 290, 1105, 541, 327, 19434, 14264, 16239, 639, 264, 568, 513, 2249, 540, 16356, 540, 519, 1920, 595, 1105, 541, 327, 514, 13160, 267, 3362, 4857, 676, 519, 3109, 4388, 540, 922, 27634, 267, 2523, 593, 519, 1101, 24725, 1710, 543, 519, 1309, 644, 531, 1710, 269, 898, 568, 835, 540, 519, 1034, 10731, 16142, 538, 519, 9341, 14147, 18625, 540, 519, 4095, 7909, 543, 7414, 7909, 269, 901, 2249, 27422, 13719, 9381, 7297, 543, 4749, 27875, 922, 1101, 24725, 1710, 538, 891, 2127, 269, 4107, 4563, 2389, 5792, 1744, 10225, 2661, 593, 11818, 19114, 543, 22501, 4420, 1682, 267, 855, 789, 616, 849, 1634, 547, 1489, 15741, 880, 610, 15195, 5054, 269, 901, 2249, 3622, 10301, 513, 3259, 540, 476, 272, 269, 277, 544, 269, 4563, 2389, 760, 1744, 10225, 616, 25161, 543, 2661, 538, 1360, 1507, 2127, 543, 949, 2611, 538, 519, 1482, 1858, 585, 1896, 1296, 269, 1358, 616, 3742, 11975, 540, 1507, 5642, 3165, 267, 524, 31525, 641, 16104, 543, 12933, 30702, 267, 543, 616, 849, 1634, 547, 3049, 593, 7286, 15315, 543, 26026, 8674, 269, 634, 1239, 6394, 7282, 519, 1272, 4783, 540, 519, 4563, 2389, 760, 1744, 1046, 616, 3006, 30137, 543, 972, 2408, 547, 581, 1713, 3604, 4470, 593, 519, 10923, 4087, 1369, 519, 2039, 540, 519, 2249, 269, 6145, 824, 2818, 540, 922, 1920, 267, 713, 16356, 568, 642, 643, 760, 541, 748, 543, 8951, 2285, 4332, 547, 1063, 1079, 543, 2947, 1762, 9002, 1169, 1079, 1296, 267, 1169, 1032, 610, 3006, 7466, 513, 1032, 269, 11569, 267, 2687, 547, 922, 7226, 519, 32460, 1974, 540, 713, 16356, 666, 581, 476, 278, 268, 280, 3275, 267, 476, 1015, 268, 1556, 3275, 610, 476, 1626, 3275, 269, 1715, 26978, 2661, 538, 9381, 7297, 543, 538, 4927, 1077, 7297, 982, 4079, 267, 1419, 8108, 1804, 2516, 538, 2127, 27876, 676, 1164, 29500, 269, 590, 1506, 543, 1698, 878, 1190, 267, 519, 4563, 2389, 760, 1744, 1046, 568, 2352, 547, 1935, 543, 10355, 4564, 513, 8594, 547, 3425, 267, 8259, 621, 568, 9599, 676, 1426, 269, 1717, 267, 536, 1430, 338, 538, 13719, 7297, 666, 3006, 723, 741, 7953, 3787, 1084, 676, 12161, 269, 901, 16356, 568, 535, 1639, 585, 922, 5779, 267, 27634, 543, 6797, 3282, 267, 855, 568, 711, 2808, 547, 581, 513, 20749, 1271, 2249, 269, 634, 4139, 5742, 585, 11094, 540, 7186, 12290, 519, 2282, 12219, 2249, 269, 4014, 519, 2249, 607, 513, 2898, 3788, 7839, 543, 5266, 1455, 267, 936, 325, 5109, 540, 713, 16356, 543, 922, 3500, 2557, 540, 12093, 814, 3366, 547, 922, 7771, 538, 513, 1297, 540, 2199, 885, 563, 3725, 1030, 12814, 814, 20762, 519, 3579, 543, 13680, 10182, 540, 519, 11824, 2059, 609, 8076, 267, 17774, 6273, 2966, 2472, 2094, 476, 2735, 275, 269, 29564, 22513, 18372, 543, 16114, 328, 6210, 3397, 21838, 516, 1031, 741, 29426, 6891, 543, 6612, 585, 17774, 532, 547, 1711, 1164, 2298, 267, 3742, 6197, 5070, 1023, 269, 4256, 11428, 267, 2182, 960, 543, 5260, 11803, 6725, 2093, 814, 1500, 24035, 12814, 835, 540, 519, 3056, 17774, 12478, 538, 519, 1158, 267, 5356, 17774, 7802, 2059, 609, 2021, 781, 543, 4819, 781, 5070, 1023, 563, 3725, 1030, 5070, 1023, 723, 2141, 20762, 519, 3579, 3214, 543, 13680, 546, 8775, 10182, 540, 519, 11824, 609, 513, 7029, 547, 14637, 519, 6197, 602, 5205, 269, 24035, 568, 2417, 3989, 676, 519, 16918, 1362, 540, 9845, 602, 2099, 24035, 1472, 519, 1158, 267, 607, 1134, 607, 741, 10121, 3490, 540, 24035, 7192, 20601, 15606, 945, 2697, 609, 24035, 781, 2189, 11100, 540, 17774, 267, 2283, 7081, 543, 9048, 557, 1370, 2283, 2225, 269, 8786, 267, 782, 540, 1346, 1913, 269, 2311, 519, 4295, 540, 519, 24035, 5070, 1023, 616, 8076, 267, 31042, 543, 4313, 2966, 2472, 602, 723, 1044, 12816, 676, 6634, 540, 24035, 619, 1472, 519, 1158, 2094, 24035, 12090, 538, 476, 2735, 275, 563, 288, 5230, 1532, 617, 1221, 16356, 609, 513, 834, 20200, 673, 257, 29765, 3337, 267, 519, 12144, 11818, 16356, 568, 2352, 547, 10646, 689, 824, 1804, 1270, 22044, 16356, 2249, 269, 898, 2356, 3800, 476, 273, 1700, 273, 269, 276, 544, 630, 277, 269, 277, 1700, 279, 269, 273, 10264, 264, 1279, 282, 519, 5021, 6592, 3259, 568, 476, 274, 544, 630, 280, 269, 279, 10264, 264, 543, 519, 5021, 4080, 2597, 568, 476, 3583, 4846, 630, 5611, 18470, 1040, 634, 32442, 568, 4158, 12457, 610, 12457, 29744, 1657, 543, 3043, 610, 3043, 3917, 3641, 2630, 267, 609, 606, 14455, 30679, 6681, 3043, 6512, 593, 519, 1166, 3471, 269, 634, 27634, 616, 711, 30326, 6825, 267, 543, 519, 9207, 1938, 540, 519, 19610, 27634, 267, 519, 1387, 1710, 267, 543, 519, 2539, 27914, 540, 519, 1309, 644, 531, 1710, 616, 546, 639, 5652, 563, 3725, 1030, 12814, 814, 519, 4608, 15967, 2702, 547, 3575, 6752, 609, 11824, 1272, 269, 24035, 12814, 5070, 1023, 543, 11818, 16212, 22286, 3591, 616, 6899, 543, 11215, 269, 2290, 540, 741, 1034, 2442, 5070, 1023, 267, 519, 24035, 12814, 808, 5174, 599, 5070, 531, 267, 30012, 13381, 1570, 609, 2571, 16463, 630, 5976, 13476, 3743, 2504, 607, 10353, 547, 6757, 16463, 512, 8911, 264, 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 ]
[ 279, 2395, 689, 1152, 11278, 653, 269, 1924, 1454, 547, 3605, 269, 1290, 680, 21747, 19633, 3728, 3950, 593, 5697, 8977, 999, 269, 10812, 519, 4936, 4884, 540, 4173, 1529, 2033, 636, 609, 606, 4274, 2199, 3391, 563, 12648, 513, 10935, 7552, 547, 519, 10875, 6532, 540, 7167, 686, 267, 609, 519, 4316, 547, 3643, 519, 9791, 717, 8527, 1729, 269, 13028, 519, 13655, 540, 25048, 701, 4512, 593, 513, 11461, 4663, 269, 634, 19824, 602, 14547, 14564, 10150, 538, 741, 2034, 5321, 568, 519, 1641, 540, 968, 303, 558, 701, 4512, 543, 519, 4936, 966, 8759, 281, 3203, 543, 9177, 15907, 519, 7345, 540, 10878, 1255, 2223, 606, 14266, 593, 2070, 693, 519, 8191, 281, 26778, 11977, 918, 31348, 2006, 563, 27845, 1255, 267, 689, 4936, 16011, 547, 4975, 268, 13750, 281, 1323, 16329, 1670, 21887, 676, 6754, 14880, 1285, 326, 12773, 2443, 476, 271, 16863, 2443, 3370, 5259, 543, 4936, 10878, 1255, 269, 634, 6592, 1686, 540, 519, 10878, 1255, 630, 2005, 6501, 13845, 10008, 264, 5956, 538, 519, 476, 278, 628, 2540, 7460, 950, 519, 7404, 5259, 12733, 540, 595, 636, 2801, 8547, 513, 1007, 2749, 1572, 3294, 1185, 1044, 8547, 676, 1004, 689, 661, 889, 4141, 320, 563, 7093, 322, 1047, 569, 1946, 519, 11317, 540, 595, 636, 2801, 4956, 547, 4228, 568, 711, 1634, 585, 1978, 267, 855, 519, 595, 636, 2801, 753, 3710, 269, 8074, 602, 519, 5721, 6728, 568, 693, 519, 4884, 540, 6682, 1075, 807, 538, 519, 14860, 2630, 23634, 7431, 1107, 513, 1668, 3217, 596, 909, 883, 23634, 7431, 563, 2026, 729, 519, 2013, 585, 1082, 4872, 538, 713, 851, 540, 7977, 267, 621, 729, 8385, 12306, 676, 519, 18264, 6350, 322, 753, 543, 2663, 3144, 936, 676, 519, 14564, 269, 3509, 1004, 5431, 519, 4884, 689, 519, 1433, 543, 7260, 267, 7201, 634, 570, 639, 4754, 6129, 269, 634, 6830, 5874, 540, 25048, 701, 4512, 1796, 607, 519, 3504, 2749, 779, 4102, 267, 9510, 267, 543, 1655, 12873, 1857, 15224, 563, 7021, 922, 1032, 1686, 267, 25048, 701, 4512, 16539, 1713, 5666, 540, 2724, 267, 2200, 267, 543, 4074, 883, 630, 516, 264, 20761, 267, 4509, 267, 543, 18175, 15665, 519, 6821, 269, 3962, 6304, 593, 519, 6830, 881, 520, 269, 32516, 476, 274, 5990, 8668, 3201, 296, 3198, 595, 14510, 4149, 307, 2969, 2464, 5508, 5990, 11555, 2793, 3041, 306, 23814, 269, 769, 4974, 519, 11193, 267, 519, 2875, 13341, 2042, 602, 616, 711, 1459, 609, 1082, 824, 3140, 8783, 1966, 568, 602, 540, 10747, 1018, 568, 5921, 676, 519, 2262, 11193, 3294, 563, 5415, 786, 581, 1767, 827, 713, 1966, 538, 3848, 476, 279, 267, 865, 602, 585, 519, 4090, 1152, 513, 16861, 2324, 269, 18724, 788, 1137, 2488, 519, 1283, 1863, 1004, 3406, 543, 4557, 656, 9584, 1907, 2228, 609, 3346, 1344, 585, 936, 2929, 1004, 1519, 1591, 6049, 2338, 543, 2347, 4282, 2638, 1239, 16432, 689, 1857, 5638, 267, 3043, 3817, 543, 824, 1463, 1559, 538, 782, 476, 2004, 2829, 563, 2171, 1683, 4267, 547, 936, 476, 273, 2929, 19707, 1169, 1554, 267, 4543, 20000, 2059, 519, 7345, 540, 10878, 1255, 543, 1995, 519, 14155, 730, 21219, 540, 25048, 701, 4512, 693, 519, 9087, 1054, 1571, 540, 6778, 26751, 12320, 3780, 269, 1924, 752, 538, 519, 1686, 540, 519, 12873, 3312, 5656, 540, 513, 6093, 4936, 4884, 476, 273, 267, 1296, 3516, 563, 288, 2199, 3391, 786, 1683, 606, 538, 3829, 2070, 540, 713, 7415, 15456, 3135, 269, 29740, 538, 7460, 267, 621, 4448, 7507, 609, 7167, 7699, 630, 333, 792, 10878, 1255, 1070, 4881, 538, 513, 2786, 1899, 585, 1454, 540, 519, 1259, 267, 24937, 519, 2067, 26048, 540, 519, 2244, 269, 3807, 607, 13609, 3710, 519, 4201, 984, 23167, 1062, 538, 24736, 540, 10504, 5826, 267, 519, 7269, 16490, 4936, 2229, 7691, 519, 4108, 543, 2797, 1871, 540, 513, 1434, 4155, 1062, 563, 763, 9576, 20066, 540, 10878, 1255, 568, 538, 623, 807, 3960, 320, 1642, 20167, 321, 4593, 17010, 267, 519, 1360, 4099, 540, 10878, 1255, 267, 1369, 6972, 3845, 689, 519, 10554, 10689, 269, 898, 568, 835, 540, 519, 2185, 4036, 1878, 1031, 676, 519, 25816, 2548, 18301, 540, 10878, 1255, 1282, 741, 4341, 540, 519, 8003, 540, 5565, 24558, 25788, 630, 1916, 763, 9576, 20066, 568, 593, 519, 3135, 540, 606, 4505, 2679, 5921, 547, 3984, 3751, 17722, 8633, 540, 8050, 267, 945, 2705, 2760, 1500, 519, 269, 9612, 938, 2228, 6049, 1433, 547, 1265, 6049, 2338, 267, 9607, 267, 543, 811, 563, 15507, 938, 2228, 6049, 1433, 547, 1265, 6049, 2338, 267, 9607, 267, 543, 811, 269, 18724, 788, 1137, 2488, 519, 1283, 1863, 1004, 3406, 543, 4557, 656, 9584, 1907, 2228, 609, 3346, 1344, 585, 936, 2929, 1004, 1519, 1591, 6049, 2338, 543, 2347, 4282, 2638, 1239, 269, 19198, 3168, 585, 606, 856, 532, 3025, 786, 2648, 1058, 1433, 513, 16741, 6194, 1362, 538, 29813, 1370, 334, 267, 1175, 1524, 519, 23795, 689, 519, 2749, 563, 10817, 3949, 3168, 547, 3251, 3742, 1247, 593, 16314, 666, 7045, 547, 24398, 269, 26751, 12320, 3780, 585, 513, 30382, 2059, 519, 4583, 15027, 26079, 602, 6772, 23697, 10878, 1255, 563, 5804, 972, 267, 31939, 547, 519, 21219, 540, 25048, 701, 4512, 267, 519, 3504, 2749, 602, 729, 269, 25048, 701, 4512, 949, 4166, 4482, 1256, 811, 8436, 269, 634, 3864, 5742, 543, 519, 7969, 2229, 616, 7616, 513, 1269, 2929, 1982, 602, 4566, 547, 7866, 811, 540, 25048, 701, 4512, 779, 11580, 269, 595, 6817, 519, 4279, 25048, 701, 4512, 5741, 267, 922, 5692, 568, 547, 3605, 4277, 1007, 3877, 827, 875, 25048, 701, 2103, 5030, 563, 2005, 786, 849, 1451, 811, 827, 875, 602, 9568, 7166, 873, 269, 7507, 786, 581, 519, 5031, 540, 707, 7977, 621, 10719, 776, 563, 763, 2051, 657, 572, 636, 729, 519, 4102, 2479, 3710, 538, 519, 4936, 7276, 543, 568, 9833, 607, 835, 540, 519, 6574, 1806, 540, 4936, 6189, 269, 5153, 883, 519, 4295, 540, 519, 3504, 16822, 30965, 831, 547, 4952, 519, 18388, 532, 5790, 540, 519, 669, 13589, 4936, 24921, 267, 607, 3046, 8663, 748, 8165, 1063, 1350, 14508, 2209, 3576, 1747, 563, 763, 1655, 1259, 547, 1205, 689, 2549, 2788, 328, 11076, 547, 7507, 23076, 630, 293, 4596, 264, 568, 547, 1899, 476, 272, 5721, 543, 5721, 799, 3217, 476, 274, 327, 476, 3451, 332, 543, 3790, 476, 3583, 11366, 910, 24843, 563, 21446, 8271, 267, 596, 666, 1899, 1668, 543, 1668, 267, 799, 3790, 476, 736, 11366, 910, 476, 1789, 11366, 543, 3217, 476, 277, 327, 476, 6812, 332, 269, 1215, 1279, 568, 519, 8184, 689, 2549, 2788, 328, 11076, 547, 7507, 23076, 630, 293, 4596, 1040, 634, 2656, 652, 8184, 689, 10878, 1255, 23076, 547, 7507, 23076, 568, 269, 9061, 519, 570, 9200, 5211, 543, 3136, 707, 21599, 538, 1686, 693, 519, 11599, 2051, 657, 572, 636, 267, 3710, 4715, 2209, 267, 543, 519, 4936, 17072, 267, 1141, 519, 9510, 3889, 540, 519, 3504, 2749, 616, 4092, 563, 263, 8923, 4063, 519, 28912, 7467, 568, 6806, 593, 11205, 5886, 17058, 543, 9530, 904, 267, 4061, 707, 3769, 11461, 8289, 572, 4370, 786, 581, 6410, 547, 606, 14595, 1554, 269, 769, 519, 1433, 540, 12253, 3184, 476, 278, 267, 808, 292, 9816, 22849, 295, 4951, 12253, 519, 3003, 1686, 540, 519, 14466, 2329, 1318, 1524, 547, 519, 1439, 540, 942, 563, 763, 8772, 28458, 4936, 7276, 1131, 581, 5258, 883, 476, 273, 7953, 267, 543, 476, 1015, 25267, 610, 6082, 1131, 10836, 689, 519, 5375, 3368, 269, 2060, 713, 3368, 6377, 6972, 4663, 540, 891, 5863, 15456, 14155, 725, 596, 786, 1305, 7824, 593, 513, 3460, 547, 2263, 519, 7824, 540, 25048, 701, 4512, 543, 519, 1272, 540, 1004, 538, 519, 4936, 7276, 563, 4002, 4864, 476, 2537, 6113, 267, 476, 8064, 5084, 267, 25048, 701, 4512, 6743, 899, 1022, 824, 14297, 267, 25133, 3504, 2749, 855, 1175, 1614, 2395, 2663, 267, 593, 4864, 476, 2918, 628, 267, 519, 535, 30711, 23419, 543, 11849, 540, 24398, 269, 26751, 12320, 3780, 1500, 519, 2749, 2887, 14980, 543, 476, 276, 270, 276, 263, 279, 1040, 3725, 576, 633, 519, 15352, 779, 26460, 538, 519, 28912, 4975, 1533, 267, 1159, 871, 538, 519, 1647, 4647, 7824, 519, 4936, 3854, 563, 10702, 5045, 596, 786, 1265, 835, 540, 519, 1655, 12873, 4936, 4872, 281, 25048, 701, 4512, 269, 654, 6387, 10838, 3504, 22225, 543, 18810, 602, 585, 5553, 7283, 6456, 896, 513, 5394, 4494, 540, 11849, 689, 519, 26751, 12320, 3780, 18962, 269, 3080, 19545, 1226, 622, 7969, 284, 31718, 563, 305, 727, 267, 1354, 519, 10504, 729, 513, 2749, 1533, 538, 5045, 7266, 1537, 7977, 4171, 1004, 941, 17801, 1227, 851, 540, 519, 5824, 6340, 2551, 602, 1500, 909, 519, 3148, 540, 4678, 1756, 563, 5445, 941, 851, 540, 519, 32228, 545, 11031, 602, 5030, 538, 269, 0, 8489, 519, 1650, 786, 1491, 1747, 1548, 568, 1713, 827, 519, 4259, 585, 519, 1650, 1281, 621, 20838, 1808, 4798, 610, 22509, 17495, 578, 513, 1880, 6172, 1314, 286, 5620, 606, 2856, 1354, 596, 1376, 1603, 513, 2110, 1650, 607, 547, 945, 786, 5182, 538, 621, 543, 1141, 621, 786, 1491, 1747, 563, 5472, 4529, 723, 891, 3504, 2984, 602, 941, 5293, 1524, 998, 5711, 9423, 1354, 2854, 1893, 729, 2919, 563, 8601, 2686, 3604, 267, 14868, 2671, 930, 1455, 2934, 269, 3733, 2195, 941, 693, 835, 942, 5156, 547, 581, 3020, 543, 6039, 547, 3391, 1480, 2623, 269, 634, 5468, 540, 14868, 616, 3504, 267, 1419, 824, 16447, 569, 4025, 538, 799, 519, 3197, 723, 2706, 16058, 543, 3006, 11375, 3861, 2934, 543, 7060, 563, 5649, 6201, 3399, 676, 2542, 14868, 689, 1082, 4529, 547, 2744, 1702, 540, 519, 2609, 3238, 538, 7242, 1603, 269, 3367, 585, 1383, 267, 513, 5929, 5259, 7242, 827, 519, 10971, 610, 519, 4457, 7242, 834, 3963, 519, 6129, 681, 2478, 1879, 519, 10162, 8803, 595, 4900, 2437, 1818, 4967, 540, 519, 7242, 545, 2609, 596, 7237, 607, 596, 1224, 563, 25565, 3504, 14868, 723, 10971, 267, 15831, 525, 543, 3006, 824, 16750, 7068, 269, 1306, 596, 1224, 267, 4063, 519, 1114, 2081, 602, 14868, 2232, 891, 2609, 543, 946, 519, 4967, 607, 3860, 6667, 950, 1603, 563, 10932, 22627, 3733, 2195, 3801, 547, 2491, 930, 2460, 540, 519, 2067, 1158, 610, 1480, 2623, 269, 4495, 596, 723, 4956, 799, 2528, 543, 2460, 540, 519, 2067, 1158, 707, 7242, 786, 2232, 267, 1382, 1312, 2609, 865, 596, 15827, 5013, 883, 519, 7242, 563, 2690, 1383, 267, 952, 596, 2328, 513, 7242, 1759, 538, 519, 2528, 540, 3567, 267, 1382, 4978, 4448, 547, 1744, 20041, 610, 13221, 865, 519, 3197, 13789, 538, 1825, 15344, 2081, 585, 602, 2528, 563, 8620, 513, 18140, 543, 16992, 8921, 1711, 513, 4729, 543, 3197, 269, 8073, 513, 16750, 7778, 610, 3070, 585, 519, 4655, 998, 519, 946, 540, 3197, 602, 723, 2706, 16058, 610, 1875, 16058, 4162, 269, 1280, 1383, 267, 513, 1915, 949, 723, 7060, 547, 1847, 18477, 3615, 610, 1560, 2694, 1336, 538, 824, 7068, 267, 971, 607, 12209, 563, 8620, 891, 3197, 267, 5402, 4058, 741, 7060, 267, 7209, 543, 3347, 865, 789, 616, 1825, 15344, 950, 596, 2253, 547, 2328, 269, 19171, 519, 7242, 609, 513, 4704, 547, 519, 3693, 540, 519, 2067, 1158, 610, 1480, 2623, 621, 5543, 1407, 269, 5620, 2576, 609, 513, 2565, 3750, 1224, 707, 1101, 8908, 543, 2307, 5587, 4328, 2055, 602, 948, 596, 2087, 519, 29631, 543, 1650, 2609, 563, 2237, 519, 3803, 8908, 1310, 26941, 543, 1196, 1080, 616, 1500, 269, 25737, 713, 9137, 589, 1907, 547, 1711, 513, 11239, 547, 4704, 713, 2376, 25737, 713, 9137, 2529, 6011, 1453, 875, 547, 2328, 741, 1378, 7242, 267, 1900, 676, 1900, 609, 713, 7792, 4976, 563, 288, 5153, 8386, 28157, 6651, 547, 3503, 543, 4427, 2466, 513, 10374, 9452, 1280, 513, 811, 2347, 3391, 547, 1603, 543, 26446, 513, 2110, 1650, 267, 2638, 856, 519, 960, 1433, 476, 1428, 17963, 547, 3503, 543, 4427, 2466, 513, 10374, 9452, 269, 898, 786, 3802, 596, 998, 519, 2898, 1184, 540, 1603, 543, 26446, 513, 2110, 1650, 563, 9596, 4388, 593, 1603, 543, 2847, 2358, 707, 12563, 339, 1446, 689, 5830, 1325, 2742, 7579, 1520, 320, 543, 681, 12522, 9410, 269, 634, 4589, 2285, 4808, 593, 1603, 513, 1101, 8908, 543, 556, 2914, 3876, 19952, 269, 5153, 476, 274, 281, 3503, 2659, 28477, 339, 1446, 269, 3371, 594, 3513, 1397, 596, 875, 547, 2328, 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 ]
[ 538, 519, 29224, 2694, 540, 519, 11782, 269, 4415, 5210, 10567, 547, 4473, 547, 476, 3953, 290, 538, 519, 5177, 713, 15964, 267, 2826, 976, 30694, 547, 519, 1085, 528, 4221, 4365, 786, 991, 547, 1491, 13390, 1081, 776, 3800, 547, 2327, 789, 1810, 1405, 7985, 689, 3002, 25874, 610, 3002, 560, 6593, 28560, 606, 1367, 781, 1560, 568, 8572, 547, 3579, 1524, 543, 789, 1020, 3002, 560, 6593, 267, 1287, 741, 1072, 1223, 581, 693, 3978, 1981, 2529, 334, 267, 875, 666, 596, 5544, 519, 4191, 540, 3002, 560, 6593, 543, 875, 666, 596, 1521, 621, 286, 2080, 781, 3388, 596, 991, 547, 917, 281, 1548, 568, 3002, 560, 6593, 286, 28959, 560, 6593, 267, 6382, 1634, 607, 3141, 560, 6593, 267, 4386, 950, 513, 1268, 781, 1560, 2837, 814, 1831, 23986, 730, 547, 513, 5739, 4110, 267, 853, 3627, 2549, 12712, 766, 6941, 269, 2304, 1367, 949, 1020, 3002, 560, 6593, 952, 789, 4312, 1044, 7092, 689, 3002, 25874, 269, 2691, 513, 1268, 22939, 1932, 1454, 942, 538, 519, 3141, 610, 538, 3905, 5210, 267, 789, 949, 1831, 1932, 13204, 3603, 269, 4263, 713, 1448, 267, 789, 949, 3247, 24852, 267, 799, 1797, 741, 1560, 786, 1100, 3476, 581, 2111, 547, 3579, 3294, 1524, 269, 901, 666, 1267, 538, 873, 3384, 3002, 560, 6593, 28560, 606, 1367, 7680, 3002, 25874, 568, 2111, 547, 3579, 1524, 1369, 476, 1789, 3764, 267, 1287, 741, 1072, 12582, 1405, 581, 693, 3978, 1981, 267, 519, 23244, 2829, 269, 4913, 267, 952, 789, 1020, 3002, 560, 6593, 267, 1287, 606, 5605, 592, 766, 1058, 581, 1572, 593, 476, 15886, 610, 476, 12208, 269, 1548, 616, 519, 2589, 286, 21618, 540, 3002, 25874, 1331, 7680, 513, 15677, 267, 21994, 267, 2530, 540, 14031, 267, 15353, 267, 7050, 24852, 267, 16081, 4771, 267, 606, 2799, 2295, 2557, 267, 513, 2837, 540, 476, 4343, 290, 610, 1657, 543, 4743, 1360, 19818, 344, 267, 519, 23244, 14592, 269, 3849, 6699, 543, 1453, 945, 1995, 3002, 25874, 4043, 547, 8858, 2147, 2589, 269, 1717, 267, 1453, 949, 849, 2408, 3207, 344, 28560, 513, 1268, 18071, 891, 4191, 18387, 1405, 4824, 1369, 476, 1789, 3764, 267, 1287, 741, 2783, 949, 723, 2919, 883, 3002, 560, 6593, 2529, 2096, 2402, 540, 3002, 560, 6593, 1331, 3668, 540, 17570, 1256, 952, 789, 1745, 1360, 3905, 267, 513, 2837, 540, 476, 2412, 290, 610, 1657, 267, 26032, 540, 13236, 267, 10539, 267, 7680, 513, 23069, 267, 9561, 9637, 543, 4742, 796, 22529, 633, 269, 1215, 666, 596, 948, 2576, 7680, 3002, 560, 6593, 286, 2252, 596, 5544, 602, 2576, 949, 581, 7092, 689, 3002, 25874, 267, 1287, 789, 1058, 581, 6410, 547, 513, 3579, 1604, 267, 519, 23244, 1443, 2478, 269, 2791, 1058, 798, 782, 602, 596, 666, 547, 948, 873, 3579, 1524, 267, 1519, 4180, 602, 789, 4235, 6266, 540, 1216, 267, 9023, 741, 2960, 609, 513, 10936, 610, 26703, 543, 2348, 873, 9114, 1524, 609, 741, 3952, 5594, 6659, 28560, 789, 10093, 1405, 4824, 538, 476, 1789, 3764, 543, 596, 3494, 789, 949, 723, 2919, 3002, 560, 6593, 267, 1287, 606, 5605, 592, 766, 1058, 581, 1572, 593, 476, 15886, 610, 476, 12208, 269, 4407, 7996, 585, 519, 5605, 592, 766, 547, 12446, 267, 853, 3627, 2549, 12712, 766, 15565, 3843, 547, 3579, 873, 1524, 676, 2901, 28277, 873, 538, 513, 4411, 6632, 6656, 610, 29008, 532, 873, 1524, 28560, 741, 2837, 5526, 547, 979, 1394, 547, 3339, 267, 1287, 5372, 519, 6632, 6656, 609, 513, 3819, 835, 269, 2026, 596, 7227, 585, 519, 12625, 540, 513, 1612, 3139, 545, 267, 1832, 10992, 741, 7244, 267, 13942, 543, 1377, 540, 3210, 267, 853, 3627, 2549, 12712, 766, 3081, 28560, 693, 1022, 1448, 789, 1831, 796, 22529, 633, 267, 1287, 596, 1590, 2638, 741, 7244, 543, 2327, 741, 21572, 568, 1930, 269, 2690, 811, 1344, 593, 875, 547, 1413, 1310, 513, 1268, 945, 814, 1831, 796, 22529, 633, 267, 4945, 1934, 269, 1215, 666, 3002, 560, 6593, 581, 15286, 286, 2467, 616, 1978, 3800, 596, 666, 1491, 547, 2061, 3002, 25874, 543, 3002, 560, 6593, 538, 3905, 5210, 267, 519, 23244, 2829, 269, 4322, 1331, 6704, 6266, 540, 4411, 10425, 267, 28876, 538, 3579, 1216, 267, 9849, 10690, 7802, 267, 9319, 519, 3141, 1282, 8445, 3141, 3108, 543, 711, 6704, 1932, 1454, 4568, 7868, 23244, 1443, 2478, 5329, 513, 2673, 3750, 593, 1346, 945, 949, 581, 811, 11630, 547, 3002, 25874, 543, 3002, 560, 6593, 267, 1519, 1453, 267, 4587, 2043, 543, 1346, 945, 723, 1279, 3856, 1072, 2175, 269, 2690, 782, 519, 5767, 3377, 593, 519, 5177, 4365, 267, 4945, 1934, 563, 26574, 539, 29198, 941, 2899, 2808, 513, 3532, 1907, 676, 7899, 540, 16293, 543, 2618, 17226, 19353, 269, 1452, 616, 849, 3006, 5219, 547, 607, 8904, 29198, 543, 723, 8854, 13416, 1631, 269, 1717, 267, 972, 1869, 6818, 513, 2603, 540, 7521, 607, 547, 2436, 22051, 454, 16675, 10365, 616, 513, 11684, 10448, 799, 616, 3773, 538, 513, 2647, 5044, 540, 8286, 543, 2709, 1390, 1072, 2640, 547, 1004, 945, 8532, 873, 3232, 269, 1358, 666, 581, 13881, 538, 1312, 6151, 543, 11273, 1106, 269, 5682, 10365, 267, 849, 1634, 607, 454, 763, 1967, 2557, 585, 2021, 18460, 538, 20117, 6992, 5314, 630, 4353, 293, 264, 2126, 814, 8445, 539, 693, 835, 538, 2185, 267, 513, 1007, 1353, 814, 1336, 269, 6097, 547, 1007, 1382, 267, 1346, 945, 10929, 10001, 293, 723, 513, 476, 2767, 269, 272, 829, 1298, 7872, 540, 519, 5650, 4611, 538, 6379, 8160, 6756, 6112, 267, 1346, 945, 10929, 513, 2147, 5650, 1572, 703, 6483, 339, 32194, 14203, 13297, 630, 2975, 10485, 264, 723, 513, 476, 2190, 269, 274, 829, 1298, 4960, 540, 10703, 1516, 6185, 1005, 519, 5650, 540, 10001, 293, 267, 606, 4212, 568, 3144, 689, 513, 4807, 781, 30124, 543, 6992, 2213, 609, 513, 14203, 538, 513, 8047, 269, 634, 6992, 2213, 4212, 568, 1287, 556, 12133, 539, 883, 519, 4807, 781, 27042, 269, 2975, 10485, 568, 519, 1034, 1455, 2126, 1031, 538, 2665, 540, 5256, 26983, 267, 519, 5274, 674, 23459, 5314, 543, 21150, 787, 1108, 16958, 630, 295, 293, 12788, 264, 2829, 7868, 1007, 4681, 941, 4843, 693, 519, 5993, 3864, 5980, 540, 5274, 3115, 3174, 543, 21150, 787, 1108, 630, 2464, 295, 3918, 264, 5870, 538, 21499, 713, 3018, 7868, 3173, 12290, 476, 8517, 267, 1822, 10001, 293, 543, 594, 5425, 296, 2126, 9979, 5340, 538, 476, 1001, 277, 267, 799, 8507, 538, 519, 4332, 540, 476, 13679, 267, 1822, 9002, 7868, 1353, 4564, 519, 4102, 5813, 883, 519, 1967, 3928, 540, 19443, 12093, 538, 2342, 6185, 337, 4168, 632, 2983, 344, 614, 267, 11381, 540, 519, 11536, 295, 3918, 781, 3864, 10001, 293, 16424, 3117, 24832, 267, 1767, 602, 519, 1967, 3928, 585, 10001, 293, 543, 594, 5425, 296, 834, 1952, 792, 547, 723, 6603, 513, 8445, 257, 1701, 306, 15471, 3928, 723, 11689, 2213, 4352, 6364, 538, 4212, 21856, 543, 609, 946, 540, 13792, 24201, 568, 1869, 3001, 20733, 2437, 3220, 632, 2983, 344, 614, 1767, 269, 4407, 519, 1967, 3928, 540, 10001, 293, 543, 594, 5425, 296, 5574, 2408, 547, 723, 29415, 539, 267, 8560, 538, 519, 5574, 799, 6451, 13792, 24201, 568, 593, 519, 4473, 267, 3220, 632, 2983, 344, 614, 11329, 856, 1701, 763, 7887, 20733, 3350, 267, 2705, 267, 568, 689, 5574, 609, 13792, 5798, 267, 799, 723, 1044, 4838, 2213, 676, 519, 7839, 4367, 540, 3857, 30826, 2437, 3220, 632, 2983, 344, 614, 1767, 17679, 527, 30826, 568, 513, 1106, 540, 2029, 799, 3322, 519, 16171, 540, 606, 4212, 610, 21872, 676, 9023, 621, 693, 513, 4028, 10605, 12171, 549, 7999, 24201, 616, 6992, 2213, 5798, 799, 616, 6740, 2394, 513, 2663, 942, 267, 950, 789, 616, 1287, 17332, 883, 519, 27042, 1282, 513, 12680, 2126, 6185, 337, 632, 2983, 344, 614, 6645, 634, 18763, 602, 646, 11099, 519, 890, 1136, 1967, 2557, 540, 10001, 293, 543, 594, 5425, 296, 814, 1044, 3361, 676, 513, 6175, 538, 4195, 21872, 19132, 543, 606, 2333, 538, 13792, 21872, 19132, 6993, 653, 6918, 2954, 3368, 540, 519, 2665, 12290, 676, 11536, 295, 3918, 2874, 540, 13792, 21872, 19132, 12171, 19910, 5574, 799, 4183, 13792, 21872, 19132, 941, 1336, 547, 723, 513, 476, 1789, 269, 276, 829, 1298, 1967, 2557, 267, 606, 2333, 540, 476, 272, 269, 274, 829, 1298, 689, 519, 1032, 1991, 269, 6097, 547, 3220, 632, 2983, 344, 614, 267, 476, 10019, 829, 1298, 540, 782, 19443, 12093, 12680, 5574, 799, 1491, 1747, 538, 2342, 616, 3769, 538, 519, 11536, 295, 3918, 5464, 10872, 7868, 5177, 1107, 1141, 5111, 476, 2568, 267, 1822, 19443, 12093, 12680, 5574, 1491, 1747, 593, 606, 5993, 4493, 1107, 729, 711, 3769, 538, 519, 1353, 30228, 1239, 689, 476, 1001, 277, 7868, 11536, 295, 3918, 4080, 602, 8050, 729, 519, 1034, 3742, 2197, 585, 19443, 12093, 12680, 5574, 267, 609, 476, 9610, 267, 3445, 280, 5340, 538, 476, 1001, 277, 8160, 6756, 6112, 267, 476, 13199, 267, 20720, 5574, 3576, 1747, 538, 6576, 543, 476, 10441, 267, 278, 3451, 538, 5333, 6993, 2487, 1353, 3370, 676, 519, 2160, 540, 10515, 32683, 1336, 2021, 1657, 519, 2085, 540, 476, 2412, 945, 10929, 10001, 293, 949, 581, 693, 3152, 1981, 540, 6089, 2860, 7868, 3173, 12290, 476, 7785, 267, 1822, 20636, 2021, 267, 1519, 476, 6812, 267, 276, 4097, 945, 23384, 12680, 2126, 267, 585, 519, 1353, 563, 31995, 7381, 1310, 519, 3339, 2085, 540, 476, 1240, 568, 2673, 547, 7543, 269, 1717, 267, 621, 1281, 711, 1611, 602, 621, 568, 7543, 256, 2659, 4463, 543, 519, 1184, 540, 3395, 26339, 568, 6766, 676, 1896, 2188, 971, 607, 1604, 267, 10399, 267, 6090, 267, 543, 6484, 563, 289, 534, 11446, 616, 835, 540, 1346, 2635, 543, 14312, 5613, 799, 1004, 2972, 4189, 1022, 942, 540, 519, 1554, 269, 15394, 267, 20397, 616, 13881, 538, 741, 22691, 1106, 267, 855, 519, 6151, 20397, 616, 849, 13881, 1932, 267, 855, 1310, 5986, 269, 21984, 20397, 616, 13881, 454, 299, 3151, 2597, 12582, 1405, 1745, 899, 513, 25287, 267, 543, 621, 12582, 1405, 1745, 865, 25516, 602, 596, 13842, 1169, 2034, 540, 707, 834, 323, 2884, 257, 543, 1287, 2285, 909, 269, 21362, 1229, 2732, 23790, 14667, 570, 1571, 267, 9049, 267, 28251, 301, 267, 7131, 301, 267, 6499, 596, 547, 2972, 707, 2597, 2000, 1601, 3460, 269, 2701, 5143, 18161, 4916, 308, 294, 2752, 1352, 4481, 1568, 609, 2021, 593, 875, 547, 6336, 2597, 834, 23719, 4743, 11658, 543, 593, 513, 2732, 1701, 2701, 19393, 1200, 7218, 547, 946, 4356, 2861, 2409, 563, 23562, 10679, 1004, 723, 1044, 7166, 676, 606, 12176, 540, 513, 4686, 9190, 3968, 538, 10507, 16303, 267, 519, 23244, 814, 1767, 269, 7197, 540, 1346, 4299, 941, 968, 601, 1457, 569, 543, 1185, 1044, 8391, 1416, 585, 5312, 16398, 267, 538, 519, 2146, 267, 2901, 538, 741, 1378, 5321, 543, 930, 538, 1416, 5321, 5608, 2687, 547, 519, 23244, 11068, 10507, 16303, 11916, 8189, 532, 6828, 630, 6717, 294, 1040, 763, 12176, 540, 12362, 6828, 589, 1792, 696, 19905, 630, 328, 294, 3008, 264, 3323, 538, 4858, 842, 872, 543, 3262, 547, 519, 595, 3559, 916, 5112, 543, 5689, 18484, 2127, 267, 621, 3773, 269, 1703, 723, 1044, 476, 3953, 4080, 2665, 540, 519, 2068, 269, 1323, 10071, 2359, 2319, 814, 1044, 3964, 547, 968, 31553, 519, 10071, 543, 5702, 6895, 519, 3510, 6100, 763, 4551, 666, 581, 1336, 538, 519, 11563, 543, 593, 519, 2960, 543, 1004, 949, 4163, 621, 1510, 18071, 1022, 2589, 20193, 666, 2661, 538, 31462, 1846, 543, 593, 3946, 585, 1279, 2614, 547, 1450, 2653, 3262, 1063, 1004, 998, 32125, 267, 21098, 532, 543, 2960, 3346, 7868, 16671, 294, 1767, 538, 513, 1867, 602, 519, 968, 27271, 1272, 18446, 717, 3008, 2068, 949, 2049, 950, 4551, 1205, 883, 2694, 540, 519, 1560, 1141, 4551, 2356, 616, 711, 1336, 267, 971, 607, 519, 1973, 267, 4887, 267, 610, 519, 9641, 6100, 305, 659, 3559, 670, 792, 333, 267, 8689, 540, 8808, 543, 2298, 267, 11068, 10507, 16303, 16671, 294, 267, 1767, 281, 968, 5978, 4555, 616, 609, 519, 3885, 540, 1346, 2550, 945, 723, 5747, 269, 634, 23244, 538, 10507, 16303, 568, 2324, 5702, 609, 5398, 2657, 4789, 543, 824, 4891, 547, 4383, 713, 2199, 10071, 267, 543, 3063, 3968, 1852, 3800, 723, 1044, 2322, 538, 1747, 547, 2061, 519, 3968, 10825, 538, 519, 1858, 31422, 763, 1981, 540, 24931, 1775 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26045, 1072, 4713, 538, 10708, 2433, 513, 3391, 585, 3237, 267, 3610, 267, 543, 4648, 1315, 454, 26045, 2657, 15136, 538, 20390, 30105, 2488, 1898, 1344, 547, 948, 3237, 267, 7855, 267, 543, 2489, 9439, 1265, 2500, 2081, 547, 2697, 543, 1521, 17867, 4713, 602, 1082, 12322, 3068, 269, 5565, 5467, 7888, 6810, 267, 834, 28403, 1944, 519, 9046, 267, 15531, 6435, 267, 543, 32468, 11868, 2483, 347, 14611, 22439, 10573, 267, 2073, 2008, 6124, 19839, 1873, 1157, 267, 1715, 14948, 10778, 305, 583, 7970, 2160, 4964, 267, 0, 290, 527, 9068, 910, 2495, 267, 1686, 267, 2511, 543, 1416, 4388, 454, 8702, 547, 519, 594, 761, 29813, 758, 514, 5071, 5816, 256, 769, 713, 2230, 596, 666, 1413, 4464, 547, 1565, 827, 1250, 14446, 1818, 1184, 267, 1250, 4943, 725, 543, 930, 540, 519, 2326, 594, 946, 538, 1250, 29586, 14446, 267, 2813, 538, 26551, 267, 4516, 563, 296, 1419, 946, 2067, 21889, 543, 8407, 538, 1250, 960, 543, 2648, 4687, 827, 519, 2495, 540, 1346, 21889, 543, 519, 1367, 3460, 602, 4422, 883, 1142, 29586, 4062, 540, 14446, 563, 763, 2012, 968, 31842, 9068, 892, 2501, 689, 519, 5824, 2262, 968, 31842, 27444, 892, 799, 1797, 5835, 855, 849, 8843, 513, 1455, 3597, 609, 519, 2262, 968, 31842, 6350, 6100, 901, 17576, 7723, 9832, 689, 922, 15040, 11993, 5835, 547, 811, 10538, 610, 6960, 993, 828, 18565, 563, 763, 3632, 9068, 17576, 7723, 568, 2965, 513, 3099, 540, 21247, 543, 568, 3006, 5219, 547, 607, 968, 344, 3641, 21247, 1848, 901, 13566, 6149, 568, 12926, 2016, 607, 513, 10516, 547, 29428, 519, 19412, 18818, 16806, 16683, 267, 543, 621, 568, 519, 2034, 4332, 7723, 540, 519, 3923, 540, 5437, 563, 16498, 16544, 634, 2039, 540, 5835, 24698, 1459, 538, 3632, 9068, 17576, 18429, 568, 1813, 547, 519, 2067, 4527, 540, 2458, 18042, 7542, 878, 28355, 269, 4014, 4749, 11821, 609, 5835, 1283, 1794, 1317, 540, 741, 2147, 2681, 267, 3632, 9068, 568, 711, 607, 2182, 607, 1283, 1794, 593, 519, 631, 7897, 4336, 563, 290, 527, 9068, 568, 2356, 1634, 585, 922, 9355, 267, 2705, 267, 930, 3002, 5701, 3632, 21218, 666, 4159, 5386, 16060, 610, 1654, 1456, 799, 1711, 513, 13581, 32630, 610, 3995, 4486, 2298, 563, 30547, 540, 13022, 9068, 634, 693, 2899, 3636, 543, 6505, 3632, 9068, 814, 513, 1297, 540, 11338, 2318, 543, 6505, 10096, 269, 898, 568, 5156, 602, 3632, 9068, 17576, 18429, 666, 27556, 2942, 1648, 267, 1256, 21716, 4606, 540, 10845, 610, 14699, 563, 290, 527, 9068, 568, 1767, 547, 3142, 513, 2631, 540, 9350, 547, 519, 649, 13145, 267, 26632, 908, 32370, 543, 25695, 519, 2191, 269, 13022, 9068, 568, 849, 513, 6149, 540, 23314, 543, 621, 568, 5156, 602, 621, 786, 3142, 1434, 19539, 267, 2523, 538, 2474, 540, 18083, 269, 769, 930, 4529, 267, 3632, 9068, 568, 1256, 5219, 547, 607, 968, 1492, 2724, 6149, 892, 1317, 540, 922, 5156, 1379, 547, 3142, 13884, 563, 290, 527, 9068, 769, 3778, 454, 20075, 523, 15117, 729, 711, 528, 13124, 679, 600, 1819, 609, 3632, 9068, 267, 543, 1031, 621, 547, 30164, 7195, 332, 7394, 16836, 267, 1200, 4832, 15335, 538, 10430, 269, 10430, 729, 1287, 267, 543, 568, 1869, 1631, 267, 1134, 1634, 585, 922, 3632, 9068, 269, 769, 1249, 267, 3632, 9068, 729, 8246, 676, 519, 29703, 607, 2038, 607, 519, 476, 10204, 271, 779, 950, 789, 24224, 519, 20362, 540, 741, 546, 698, 7970, 543, 32639, 609, 3632, 9068, 563, 763, 9147, 16380, 849, 1031, 3632, 9068, 585, 16560, 5301, 267, 26002, 993, 2544, 1206, 610, 19562, 1149, 856, 540, 519, 30437, 267, 11344, 5835, 10007, 269, 1306, 513, 4759, 540, 519, 21247, 1920, 267, 3632, 9068, 666, 581, 3769, 607, 835, 540, 519, 1034, 4122, 1031, 17576, 18429, 538, 14446, 2094, 519, 4098, 540, 5375, 10340, 563, 306, 1399, 548, 9669, 585, 13022, 9068, 454, 9213, 14446, 9858, 946, 3632, 9068, 17576, 18429, 538, 741, 6272, 547, 13686, 741, 7524, 5835, 2681, 269, 13689, 593, 519, 3159, 540, 5835, 267, 513, 3632, 9068, 17576, 7723, 666, 4183, 607, 513, 1025, 5074, 3141, 610, 607, 513, 30437, 1313, 636, 2522, 3595, 538, 1022, 4259, 563, 5278, 2413, 3632, 9068, 568, 2965, 3002, 5701, 993, 996, 22438, 543, 519, 4999, 540, 519, 32175, 13711, 540, 993, 996, 22438, 543, 519, 3636, 5835, 540, 922, 11078, 6149, 267, 3632, 9068, 267, 960, 18991, 538, 25231, 2280, 5468, 543, 14034, 5468, 609, 7265, 1229, 10007, 563, 22512, 543, 27686, 4388, 585, 13022, 9068, 454, 290, 527, 9068, 568, 3833, 513, 2182, 17576, 7723, 593, 519, 631, 7897, 4336, 267, 12773, 513, 476, 278, 267, 865, 621, 568, 1134, 14018, 585, 4948, 5957, 269, 5516, 1058, 581, 3144, 538, 13936, 707, 3632, 9068, 14446, 607, 621, 1223, 5732, 15072, 610, 6382, 2800, 29779, 14446, 4773, 602, 949, 581, 811, 7925, 547, 3441, 563, 290, 527, 9068, 14446, 666, 581, 19345, 693, 1753, 1210, 513, 7646, 12853, 543, 513, 2571, 12308, 610, 26703, 269, 898, 568, 849, 2356, 2922, 547, 946, 24318, 21319, 7738, 609, 3632, 9068, 267, 4352, 9252, 7738, 568, 711, 5227, 607, 621, 1223, 2014, 25305, 563, 2252, 596, 2648, 1565, 827, 17576, 267, 10007, 267, 8407, 543, 14446, 1818, 596, 666, 24049, 547, 1250, 4757, 1592, 547, 4309, 4930, 899, 713, 1318, 538, 707, 28600, 267, 607, 1134, 607, 12600, 3260, 687, 543, 9388, 1175, 585, 1250, 4757, 1592, 32224, 563, 10287, 594, 761, 29813, 758, 514, 5071, 338, 593, 17749, 610, 9365, 547, 1832, 1565, 827, 21889, 543, 14446, 6194, 543, 547, 7119, 538, 1187, 2285, 25498, 269, 0, 296, 26091, 6763, 585, 519, 4139, 2296, 5678, 13281, 3590, 267, 799, 568, 513, 13387, 2296, 1449, 2966, 547, 2268, 2702, 540, 519, 11134, 538, 2185, 1893, 1983, 281, 24935, 267, 23016, 267, 7335, 267, 543, 5675, 563, 763, 1449, 568, 2966, 267, 7307, 267, 543, 2196, 676, 519, 3703, 7027, 267, 11062, 2296, 5678, 10495, 267, 543, 594, 7894, 5245, 269, 634, 1449, 2982, 15334, 540, 519, 11134, 538, 519, 2296, 1893, 602, 666, 581, 1031, 585, 11776, 5301, 630, 14197, 1449, 264, 610, 4974, 13383, 630, 10907, 27854, 1449, 1040, 5015, 267, 621, 568, 7608, 676, 1585, 12820, 543, 32112, 538, 519, 5245, 267, 5177, 267, 3345, 3013, 267, 1715, 10215, 267, 543, 2342, 563, 763, 2832, 540, 713, 5816, 568, 547, 8499, 2671, 2833, 540, 1312, 28568, 981, 29794, 543, 21493, 609, 10457, 538, 1931, 547, 948, 873, 609, 519, 2152, 602, 789, 949, 723, 609, 519, 981, 543, 5965, 873, 585, 519, 1449, 676, 5355, 741, 15334, 538, 519, 2185, 1893, 1983, 563, 4913, 267, 519, 1655, 1259, 547, 917, 519, 1449, 3330, 856, 9985, 568, 547, 798, 930, 1483, 2259, 4255, 602, 2285, 596, 519, 1655, 2856, 540, 1018, 519, 1449, 568, 2731, 899, 543, 1018, 596, 2731, 991, 547, 2087, 563, 763, 1259, 538, 799, 519, 28568, 8464, 616, 7229, 568, 602, 519, 11134, 568, 2016, 513, 5094, 6060, 585, 1142, 3296, 543, 1287, 782, 8464, 616, 30714, 1927, 547, 1683, 519, 3803, 2949, 6512, 6060, 269, 3371, 596, 666, 1451, 811, 827, 875, 1312, 4081, 543, 2489, 4255, 616, 7229, 912, 1700, 296, 26091, 17020, 24143, 281, 1265, 856, 519, 3803, 8464, 1759, 593, 519, 11134, 779, 8464, 585, 1142, 9074, 281, 0, 1607, 1576, 568, 606, 4367, 547, 19135, 2627, 543, 19349, 2553, 2059, 609, 2679, 593, 1991, 1702, 540, 2627, 1374, 269, 634, 8561, 568, 593, 875, 519, 3982, 1570, 640, 540, 1585, 20955, 666, 1291, 547, 543, 581, 1031, 547, 1020, 5499, 29959, 3435, 269, 4841, 616, 12592, 998, 1362, 2238, 543, 5717, 547, 20006, 2035, 267, 543, 1020, 741, 18759, 676, 16208, 873, 538, 1585, 19135, 2553, 543, 7252, 585, 741, 18638, 3785, 269, 4841, 616, 5189, 547, 26095, 267, 3408, 543, 946, 540, 30996, 7321, 593, 5958, 2059, 609, 2627, 19349, 2553, 1775, 4318, 269, 1688, 543, 3684, 30927, 267, 3365, 1172, 2946, 267, 31910, 1154, 267, 8228, 1299, 7206, 269, 0, 3682, 31810, 1299, 20043, 454, 295, 8780, 476, 23211, 910, 2876, 1559, 540, 4516, 547, 476, 5908, 278, 454, 9303, 1559, 540, 4516, 547, 476, 5908, 278, 454, 1607, 1576, 12116, 519, 2797, 267, 1514, 267, 2804, 267, 543, 2686, 7835, 267, 1519, 519, 23091, 7087, 12583, 267, 538, 519, 3338, 1631, 1634, 607, 4516, 689, 840, 20931, 547, 519, 32700, 540, 519, 3703, 3345, 1977, 10125, 538, 476, 5908, 278, 883, 519, 2797, 1770, 267, 4516, 7868, 1445, 540, 713, 1576, 568, 593, 7087, 12583, 282, 519, 12625, 540, 17417, 282, 519, 10661, 540, 3943, 2486, 282, 4655, 1063, 3943, 270, 12626, 270, 29378, 9082, 267, 1519, 519, 10661, 540, 4108, 24816, 282, 9663, 4123, 538, 519, 4639, 282, 8733, 7004, 282, 11439, 4187, 282, 1646, 540, 606, 4853, 626, 4346, 282, 20012, 282, 519, 1909, 540, 2518, 22030, 282, 4947, 540, 1007, 11082, 282, 2804, 543, 1514, 2152, 282, 543, 519, 3350, 547, 26595, 782, 3703, 3345, 1977, 10125, 269, 901, 1576, 786, 948, 1053, 1174, 519, 14759, 540, 519, 2250, 543, 519, 5072, 540, 938, 1459, 6381, 12991, 5588, 292, 281, 4841, 3112, 4309, 5491, 585, 1312, 670, 8780, 476, 23211, 543, 670, 8780, 476, 13647, 272, 269, 0, 2750, 4219, 6874, 24612, 8750, 338, 630, 4953, 22661, 264, 616, 19736, 602, 4125, 513, 1895, 540, 19736, 630, 7945, 607, 13632, 1040, 4014, 789, 666, 1902, 538, 1022, 1297, 540, 6080, 610, 9772, 1585, 2994, 267, 789, 2356, 3950, 519, 5817, 4994, 269, 21180, 22661, 616, 2147, 547, 8994, 7482, 538, 1082, 2081, 563, 4913, 267, 789, 616, 7396, 543, 21775, 593, 519, 15377, 543, 21180, 293, 13632, 616, 21775, 2429, 519, 1554, 899, 1455, 13632, 269, 634, 9501, 11403, 590, 261, 303, 476, 4335, 21180, 293, 630, 9915, 312, 264, 568, 513, 4583, 1383, 602, 13475, 519, 590, 261, 303, 476, 4335, 4994, 563, 4953, 22661, 666, 2270, 2789, 5092, 2010, 267, 1519, 13632, 267, 21113, 267, 7554, 267, 610, 2789, 5092, 2010, 269, 1323, 5385, 2389, 24612, 2508, 568, 9042, 762, 3354, 267, 799, 1797, 621, 814, 606, 2404, 3902, 543, 666, 581, 11751, 543, 4421, 3362, 563, 268, 1323, 5385, 2389, 24612, 2508, 568, 513, 11127, 540, 19736, 602, 666, 581, 21775, 593, 519, 5385, 899, 13632, 563, 268, 1879, 9140, 543, 9513, 267, 21180, 293, 6006, 5777, 11385, 622, 2429, 519, 1554, 282, 713, 568, 1114, 689, 8994, 7482, 267, 799, 1152, 4123, 2899, 513, 1554, 1310, 519, 2344, 568, 6806, 563, 268, 898, 666, 1331, 782, 2010, 540, 9541, 267, 1519, 13632, 267, 21113, 267, 610, 7554, 269, 2368, 1152, 2709, 2475, 13632, 267, 543, 930, 1152, 2709, 3486, 13632, 563, 268, 22702, 609, 9140, 13632, 14384, 267, 21180, 22661, 2709, 1970, 13258, 12753, 543, 7864, 30549, 862, 3827, 563, 2005, 568, 1572, 606, 5385, 2389, 24612, 2508, 1317, 621, 568, 21775, 593, 606, 5385, 1175, 899, 513, 6006, 269, 1879, 9140, 543, 9513, 13632, 593, 519, 2344, 267, 519, 3902, 540, 21180, 293, 13632, 786, 1689, 2429, 519, 9467, 1554, 563, 1607, 568, 1114, 689, 8994, 7482, 267, 799, 616, 711, 21775, 593, 15377, 543, 1152, 4123, 2899, 513, 1554, 1310, 519, 2344, 568, 6806, 269, 4746, 267, 621, 11148, 547, 581, 811, 1942, 15807, 543, 5277, 3379, 547, 8994, 7482, 563, 290, 1662, 16539, 538, 21180, 22661, 454, 4953, 293, 568, 513, 2186, 540, 2508, 609, 2789, 2596, 7221, 267, 711, 1175, 835, 2186, 540, 10697, 899, 13632, 269, 4595, 972, 616, 2789, 7221, 267, 789, 666, 1831, 513, 2442, 3903, 585, 4129, 1881, 5092, 267, 602, 666, 1378, 7366, 540, 13632, 538, 1585, 6080, 610, 666, 581, 9678, 547, 513, 1808, 2872, 610, 5823, 563, 5278, 7482, 1152, 1445, 593, 2475, 2472, 267, 1247, 1866, 723, 2518, 16548, 269, 1280, 1383, 267, 606, 5385, 2389, 24612, 2508, 10704, 593, 519, 12948, 2872, 786, 2270, 519, 13632, 540, 8492, 2066, 519, 2872, 563, 15650, 540, 21180, 22661, 454, 2467, 616, 1082, 2010, 540, 5385, 2389, 24612, 7482, 2139, 547, 9520, 267, 799, 666, 581, 1031, 547, 5352, 4747, 267, 1179, 3634, 267, 6318, 5777, 267, 543, 21963, 610, 13148, 15558, 519, 4220, 538, 519, 20090, 779, 14769, 269, 12989, 616, 513, 1906, 1806, 540, 21180, 293, 2010, 563, 289, 1180, 281, 949, 1331, 2229, 7554, 267, 9746, 7554, 267, 543, 1533, 543, 2199, 7554, 630, 21406, 18513, 7554, 1916, 26581, 787, 281, 13475, 1808, 6080, 267, 971, 607, 2029, 267, 12948 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11098, 267, 20765, 543, 2597, 269, 13689, 593, 519, 3498, 538, 2243, 267, 4466, 1175, 519, 1318, 3666, 568, 519, 3017, 1063, 1967, 543, 5821, 454, 3086, 267, 513, 2319, 540, 24282, 19296, 814, 7152, 513, 1007, 1570, 789, 1289, 834, 22974, 18201, 4580, 2437, 606, 24318, 987, 514, 6697, 540, 1351, 2607, 730, 1957, 21312, 269, 589, 4009, 2483, 6021, 269, 1556, 269, 1001, 279, 1923, 7926, 5240, 454, 6187, 269, 1556, 269, 1001, 279, 1923, 7926, 5240, 454, 2537, 269, 1015, 269, 1001, 279, 1923, 7926, 5240, 454, 1626, 269, 1556, 269, 1001, 279, 1923, 2657, 543, 6925, 454, 1626, 269, 1556, 269, 1001, 279, 1923, 5020, 7070, 454, 1626, 269, 1556, 269, 1001, 279, 1923, 5020, 7070, 0, 290, 578, 779, 3750, 771, 7611, 454, 2414, 12398, 543, 10646, 1808, 2694, 547, 606, 3750, 540, 513, 10800, 267, 538, 1880, 267, 922, 7828, 269, 744, 7034, 27263, 25972, 9625, 454, 6524, 2965, 4098, 519, 771, 7611, 540, 519, 10800, 779, 3750, 267, 649, 941, 827, 547, 17250, 513, 9425, 3448, 4605, 540, 938, 11287, 779, 540, 519, 16538, 1560, 540, 519, 3750, 269, 634, 3750, 267, 2348, 3592, 4625, 1373, 1352, 2741, 1229, 538, 3170, 543, 4887, 267, 729, 3833, 6109, 543, 1152, 519, 31894, 543, 23726, 8229, 729, 4857, 269, 1635, 2417, 5969, 1524, 519, 3170, 267, 649, 941, 2111, 547, 5544, 513, 2864, 9157, 11909, 773, 3043, 9018, 8720, 540, 519, 3750, 4252, 267, 799, 649, 2663, 4362, 547, 581, 1634, 607, 519, 521, 743, 5028, 269, 1284, 849, 8068, 519, 4544, 8720, 936, 519, 4395, 540, 519, 3750, 267, 1634, 607, 519, 31894, 267, 799, 2968, 31063, 1310, 2669, 269, 7053, 4098, 519, 771, 7611, 267, 649, 1500, 606, 1651, 1707, 538, 1063, 519, 521, 743, 5028, 543, 31894, 799, 3576, 1454, 4674, 607, 621, 729, 3833, 9157, 269, 1717, 2899, 1793, 527, 267, 513, 2312, 5277, 3957, 519, 25694, 1208, 712, 729, 2111, 547, 522, 334, 2763, 856, 269, 2598, 4167, 532, 2417, 267, 649, 941, 2111, 547, 4894, 519, 7828, 267, 519, 32640, 543, 519, 20194, 269, 634, 32640, 267, 17735, 1063, 519, 31894, 543, 7828, 267, 3357, 856, 607, 513, 2864, 6960, 25549, 5858, 269, 634, 20194, 267, 13747, 607, 519, 4158, 5858, 538, 519, 8998, 540, 519, 32640, 729, 2864, 3833, 24814, 269, 634, 7828, 729, 513, 6263, 1025, 984, 540, 3043, 799, 11696, 1194, 606, 4672, 23555, 855, 2705, 1185, 513, 2864, 2250, 344, 2571, 267, 5347, 543, 3362, 8697, 9403, 269, 1879, 24590, 519, 3750, 538, 3368, 267, 649, 941, 2111, 547, 3605, 922, 2864, 5277, 23752, 12068, 538, 799, 513, 3109, 267, 21297, 6438, 6219, 1572, 519, 3857, 516, 748, 1208, 712, 694, 788, 539, 856, 269, 12213, 2282, 519, 1439, 540, 519, 6418, 3750, 609, 782, 519, 3857, 516, 748, 1208, 712, 6569, 267, 729, 519, 22100, 269, 1744, 9464, 899, 513, 12826, 267, 519, 1769, 4544, 22100, 8659, 2699, 1973, 8043, 799, 616, 10924, 547, 4309, 519, 5135, 10299, 689, 519, 1973, 269, 634, 3750, 729, 3833, 3636, 267, 6236, 922, 1219, 15543, 532, 2409, 543, 19501, 2370, 5212, 712, 799, 538, 2490, 2303, 602, 922, 4232, 1154, 3942, 18387, 1406, 2943, 13175, 563, 272, 269, 634, 31894, 540, 707, 3750, 568, 2312, 269, 634, 31894, 540, 707, 26819, 539, 3750, 568, 31063, 269, 4208, 286, 3143, 5135, 3842, 519, 18072, 568, 1373, 2366, 547, 519, 3750, 1317, 519, 2713, 11248, 779, 1062, 568, 4666, 543, 13515, 2324, 267, 3976, 804, 537, 3429, 621, 269, 476, 273, 269, 4208, 568, 621, 1271, 585, 519, 31894, 543, 7828, 547, 581, 2312, 286, 1548, 1131, 4755, 952, 621, 7012, 1406, 2312, 286, 898, 568, 1360, 1271, 602, 1312, 519, 31894, 543, 7828, 616, 2312, 607, 713, 2636, 519, 1769, 547, 1780, 2047, 998, 519, 4395, 540, 519, 3750, 547, 519, 22100, 269, 1403, 621, 941, 3109, 585, 1383, 267, 519, 1769, 1131, 581, 11658, 543, 1510, 1373, 2111, 547, 1294, 1769, 267, 938, 5075, 1131, 849, 581, 11658, 269, 1280, 1776, 1383, 267, 952, 519, 7828, 941, 2312, 855, 2705, 729, 8697, 538, 1022, 6752, 609, 6148, 513, 15072, 267, 1018, 649, 1294, 786, 849, 581, 4299, 269, 476, 274, 269, 769, 3897, 1769, 267, 519, 20194, 10741, 2647, 547, 1831, 3677, 269, 4208, 568, 713, 1271, 286, 1548, 1131, 4755, 952, 621, 4769, 1406, 798, 713, 286, 634, 20194, 666, 3442, 547, 7369, 922, 2450, 538, 3210, 547, 1769, 8515, 676, 1526, 878, 1154, 543, 2810, 922, 2450, 538, 519, 4158, 676, 8920, 908, 269, 1403, 519, 20194, 729, 11658, 543, 8572, 547, 7369, 922, 2450, 1813, 547, 519, 24788, 13920, 3928, 538, 519, 5007, 1604, 267, 649, 1131, 581, 6534, 547, 1932, 1454, 1769, 799, 1223, 1118, 721, 12155, 547, 9636, 543, 1860, 938, 2702, 547, 1294, 5693, 269, 2311, 519, 1482, 942, 267, 952, 649, 941, 6534, 547, 1970, 24788, 13920, 3928, 1510, 938, 20194, 4657, 538, 2450, 267, 649, 1131, 711, 581, 2111, 547, 1294, 538, 3897, 1769, 269, 476, 275, 269, 769, 14621, 547, 2243, 476, 274, 267, 1131, 596, 2015, 713, 547, 581, 606, 9542, 286, 11512, 269, 8786, 269, 634, 20194, 779, 2702, 547, 3082, 547, 519, 24788, 13920, 3928, 538, 938, 1604, 6087, 721, 547, 581, 2111, 547, 16641, 6505, 1769, 543, 14334, 269, 9453, 713, 9542, 267, 649, 1131, 711, 581, 2111, 547, 1294, 538, 3897, 1769, 543, 649, 1131, 581, 12155, 547, 8289, 17244, 269, 10390, 9625, 454, 14454, 267, 519, 4666, 3750, 540, 513, 10800, 729, 2938, 547, 581, 31063, 1129, 4328, 922, 2530, 540, 1272, 543, 3668, 540, 6981, 540, 5135, 269, 634, 3750, 729, 4362, 547, 581, 6140, 4904, 609, 12862, 540, 519, 3857, 516, 748, 543, 25694, 1208, 712, 269, 634, 3750, 2949, 729, 4362, 547, 581, 3833, 6109, 2808, 922, 12062, 540, 3170, 543, 6091, 269, 1306, 971, 267, 5969, 998, 519, 3750, 3576, 3833, 606, 4674, 269, 898, 729, 849, 4362, 602, 519, 3750, 2483, 8923, 6443, 5530, 300, 1712, 547, 1224, 519, 2407, 3561, 0, 5228, 634, 11416, 9218, 543, 20676, 31638, 454, 268, 562, 269, 634, 2298, 540, 1373, 16491, 582, 1113, 563, 28989, 267, 1100, 552, 1399, 332, 3098, 1336, 563, 14367, 2409, 8998, 593, 16491, 582, 1113, 640, 282, 3388, 4523, 538, 519, 8880, 7077, 610, 3116, 568, 4831, 29446, 267, 865, 602, 519, 2168, 4674, 568, 9003, 585, 20408, 11508, 267, 711, 24906, 593, 9870, 543, 16715, 2597, 676, 1490, 1393, 3196, 563, 14367, 2022, 12885, 540, 16491, 582, 1113, 640, 2443, 602, 835, 851, 540, 519, 16794, 568, 5732, 519, 1482, 607, 1776, 538, 922, 4390, 585, 1565, 267, 543, 540, 2527, 2962, 2443, 602, 1565, 568, 513, 1599, 540, 519, 2698, 2527, 540, 5160, 267, 23163 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3207, 17522, 281, 10083, 585, 18942, 2773, 269, 7885, 11846, 2405, 476, 1220, 276, 282, 2190, 281, 29483, 268, 5952, 563, 263, 278, 4700, 27804, 1170, 328, 715, 267, 590, 525, 321, 537, 324, 645, 267, 717, 2246, 327, 1512, 589, 267, 30038, 826, 808, 267, 5096, 26413, 667, 269, 12186, 540, 835, 3781, 781, 3207, 22975, 593, 26103, 2773, 519, 1739, 1554, 269, 20195, 808, 10331, 4284, 2723, 476, 1220, 274, 282, 8660, 281, 3374, 280, 268, 5780, 563, 263, 279, 4700, 14339, 7970, 7131, 267, 4793, 3205, 667, 295, 267, 595, 7342, 5069, 21096, 267, 32201, 661, 294, 267, 8891, 339, 580, 4319, 674, 303, 267, 3733, 956, 654, 306, 267, 13177, 32217, 269, 12619, 22975, 281, 2360, 593, 960, 4390, 267, 1582, 19550, 6972, 267, 4579, 850, 3601, 543, 9228, 11851, 542, 269, 12619, 476, 1960, 276, 282, 1240, 281, 1789, 268, 279, 563, 263, 280, 4700, 10897, 24742, 744, 267, 28270, 326, 529, 714, 2098, 269, 12186, 540, 3207, 22975, 593, 28491, 637, 21732, 3252, 540, 519, 28359, 543, 2019, 28380, 5716, 1282, 1964, 543, 3635, 269, 2920, 320, 4284, 2723, 12017, 476, 1220, 280, 282, 9834, 281, 3066, 268, 3607, 563, 263, 1015, 4700, 11709, 667, 784, 523, 24605, 267, 8575, 529, 4802, 717, 267, 631, 1638, 15838, 808, 300, 267, 667, 532, 525, 667, 293, 269, 634, 19469, 1942, 540, 3606, 12687, 6888, 281, 9570, 268, 24978, 2360, 593, 5778, 2041, 24173, 3252, 543, 3207, 17550, 689, 5312, 3207, 19231, 543, 2698, 3207, 22975, 269, 12619, 476, 1220, 274, 282, 2918, 281, 14056, 268, 2918, 563, 263, 1556, 4700, 623, 2884, 745, 322, 345, 4157, 918, 267, 32021, 639, 345, 330, 578, 328, 752, 918, 267, 3767, 1157, 328, 2098, 267, 31864, 330, 22603, 808, 300, 269, 7261, 339, 758, 1149, 538, 3207, 7939, 543, 18063, 269, 7354, 476, 1220, 274, 282, 274, 281, 14096, 268, 3451, 563, 263, 1321, 4700, 5484, 8619, 681, 300, 267, 918, 2313, 5866, 11404, 267, 661, 951, 517, 11404, 267, 918, 1023, 7288, 681, 267, 19161, 10458, 22720, 267, 1234, 577, 1206, 577, 3530, 523, 589, 269, 12619, 22975, 538, 519, 3731, 281, 23446, 269, 21210, 1599, 269, 12619, 476, 2735, 280, 282, 1321, 281, 5325, 268, 7367, 563, 263, 1724, 4700, 28564, 643, 13709, 1470, 631, 267, 26701, 839, 5459, 918, 269, 22532, 268, 14545, 4205, 538, 4713, 540, 3207, 2914, 820, 6888, 3919, 269, 12367, 11671, 338, 857, 476, 1220, 278, 282, 1789, 281, 277, 3393, 268, 7367, 563, 263, 1691, 4700, 623, 732, 16223, 28697, 267, 918, 21392, 25526, 267, 1325, 1206, 327, 17526, 700, 267, 674, 787, 324, 10790, 267, 11910, 25301, 589, 267, 3057, 836, 749, 700, 267, 5403, 681, 300, 269, 17716, 1063, 11178, 9449, 543, 24196, 656, 6114, 547, 2698, 3207, 22975, 538, 7099, 4524, 2550, 269, 22776, 24741, 476, 1960, 279, 282, 6246, 281, 4375, 273, 268, 275, 563, 5157, 291, 316, 8621, 573, 19966, 17844, 267, 1496, 328, 291, 316, 2806, 21353, 1306, 14508, 30916, 1070, 1496, 328, 291, 316, 15011, 13758, 19257, 345, 2801, 328, 267, 1496, 328, 291, 316, 674, 622, 1889, 327, 570, 822, 3570, 454, 17206, 540, 2871, 559, 534, 267, 4972, 540, 11644, 25665, 267, 20513, 540, 22505, 7070, 267, 681, 1662, 339, 267, 9459, 454, 28949, 264, 9796, 877, 3143, 528, 2160, 267, 4972, 540, 8447, 4065, 543, 22505, 7070, 267, 1855, 327, 3757, 267, 9459, 454, 11754, 816, 585, 4856, 22046, 775, 270, 312, 1794, 338, 9874, 1520, 637, 328, 281, 8621, 573, 19966, 17844, 12854, 267, 2160, 540, 2871, 559, 534, 267, 4972, 540, 11644, 25665, 267, 20513, 540, 22505, 7070, 267, 681, 1662, 339, 267, 9459, 454, 17490, 281, 1341, 7176, 476, 1724, 476, 28656, 3445, 272, 8618, 661, 17733, 281, 18078, 17106, 11333, 3820, 10758, 290, 2839, 268, 2839, 281, 610, 322, 573, 3820, 270, 1822, 271, 268, 1822, 273, 268, 14689, 275, 268, 4792, 272, 276, 454, 3725, 18727, 27798, 601, 529, 570, 926, 6062, 281, 476, 1789, 269, 6860, 269, 1001, 279, 20504, 539, 270, 298, 5429, 570, 926, 6062, 281, 476, 6021, 269, 4905, 269, 1001, 279, 454, 8368, 476, 272, 269, 13595, 781, 10236, 6248, 4632, 24438, 4578, 24438, 4578, 12339, 584, 3259, 630, 9492, 264, 476, 5325, 654, 2077, 18592, 630, 9492, 264, 476, 1704, 595, 2788, 3259, 630, 9492, 264, 476, 6078, 4432, 11312, 18592, 630, 9492, 264, 476, 2918, 269, 276, 6181, 3259, 630, 9492, 264, 476, 5952, 30446, 18592, 630, 9492, 264, 476, 11463, 8121, 300, 9501, 3198, 630, 9492, 264, 476, 8182, 20613, 626, 18592, 630, 9492, 264, 476, 6507, 4432, 11312, 3259, 630, 9492, 264, 476, 2918, 774, 662, 18592, 630, 9492, 264, 476, 7367, 7435, 13869, 630, 9492, 264, 476, 1240, 269, 276, 31177, 18592, 630, 9492, 264, 476, 9262, 269, 276, 14022, 3259, 630, 9492, 264, 476, 7597, 269, 276, 595, 2788, 18592, 630, 9492, 264, 476, 4343, 1924, 548, 540, 3723, 630, 9492, 264, 476, 2918, 9701, 518, 8700, 630, 9492, 264, 476, 1704, 14022, 18592, 630, 9492, 264, 476, 3374, 30446, 8700, 630, 9492, 264, 476, 1556, 7305, 476, 273, 269, 13595, 781, 2773, 4255, 24438, 4578, 24438, 4578, 7435, 17945, 4222, 630, 11899, 264, 910, 476, 2568, 2173, 3432, 630, 5913, 264, 476, 280, 269, 8287, 9406, 1688, 476, 4510, 476, 275, 1535, 476, 280, 2173, 29060, 2196, 630, 5913, 264, 476, 1015, 269, 3607, 19382, 1688, 476, 3393, 26432, 7914, 630, 9492, 264, 476, 7871, 5484, 577, 2046, 4222, 630, 11899, 264, 476, 3199, 23063, 13522, 630, 10517, 26553, 264, 476, 2412, 6181, 2046, 4222, 630, 11899, 264, 476, 5197, 23063, 7146, 3146, 778, 1449, 630, 9492, 264, 476, 11463, 681, 17129, 630, 5913, 264, 476, 4510, 269, 274, 23101, 1449, 630, 2381, 281, 5913, 264, 476, 1428, 281, 3374, 10323, 6630, 3666, 1449, 630, 9492, 264, 1323, 10262, 476, 9032, 1323, 614, 15701, 658, 476, 5952, 5403, 7845, 476, 11820, 1323, 7932, 8632, 476, 8064, 2405, 658, 476, 3583, 5403, 518, 15701, 658, 476, 8099, 700, 8632, 476, 1911, 5403, 518, 565, 8632, 476, 11820, 681, 17129, 281, 26121, 27118, 21740, 590, 2745, 1449, 267, 10323, 6630, 281, 10060, 1401, 15479, 542, 18696, 1449, 7305, 476, 274, 269, 13595, 781, 23020, 4632, 24438, 4578, 16453, 9832, 595, 6195, 268, 8161, 654, 6195, 630, 9818, 270, 340, 299, 264, 476, 277, 269, 11011, 476, 275, 268, 1556, 681, 6195, 630, 11793, 270, 340, 299, 264, 476, 275, 269, 11152, 476, 275, 269, 276, 268, 276, 269, 280, 670, 16412, 630, 326, 7933, 299, 264, 476, 1428, 269, 272, 476, 1724, 268, 1704, 670, 6311, 630, 8472, 476, 6246, 269, 278, 476, 6078, 268, 7871, 14330, 309, 630, 325, 299, 264, 476, 6434, 269, 277, 476, 3199, 268, 1911, 631, 6224, 630, 17989, 264, 476, 1789, 269, 277, 476, 2767, 268, 4097, 631, 6224, 290, 630, 326, 7933, 299, 264, 476, 4097, 269, 277, 476, 3953, 268, 3607, 12813, 307, 630, 314, 1015, 4732, 1575, 269, 274, 316, 270, 340, 299, 264, 476, 26825, 476, 9610, 268, 14596, 28251, 310, 4149, 291, 630, 325, 299, 264, 476, 4510, 269, 273, 476, 4391, 268, 7918, 28251, 310, 4211, 309, 630, 8472, 476, 1691, 476, 280, 268, 1691, 269, 277, 19113, 310, 630, 325, 299, 264, 476, 1321, 269, 274, 476, 280, 268, 1704, 631, 11901, 630, 325, 299, 264, 476, 280, 269, 279, 476, 276, 268, 1015, 269, 276, 623, 6441, 10135, 630, 8472, 476, 2190, 269, 273, 476, 1724, 268, 6246, 623, 6311, 630, 8472, 476, 271, 269, 3953, 476, 271, 269, 1704, 268, 271, 269, 3374, 3026, 583, 5268, 2812, 630, 8472, 476, 4649, 269, 272, 476, 2412, 268, 4037, 700, 8233, 7514, 1206, 630, 8472, 476, 4391, 269, 276, 476, 736, 268, 3393, 3933, 7514, 1206, 630, 8472, 476, 273, 269, 280, 476, 273, 268, 1015, 661, 28009, 2684, 2812, 630, 8472, 476, 275, 269, 273, 476, 272, 268, 277, 5178, 2684, 2812, 630, 8472, 476, 271, 269, 274, 476, 271, 268, 272, 4437, 17190, 674, 8463, 1973, 4006, 630, 16936, 7933, 299, 264, 476, 10844, 476, 3583, 268, 1911, 932, 7995, 630, 16936, 7933, 299, 264, 476, 14321, 2677, 10928, 2999, 1220, 27079, 1467, 476, 1220, 268, 26839, 4400, 3436, 26839, 17832, 22318, 1938, 630, 16936, 7933, 299, 264, 476, 11152, 16453, 2999, 5611, 27079, 1467, 476, 5611, 268, 1960, 4400, 476, 1220, 268, 27149, 15020, 1164, 3436, 275, 4200, 31613, 630, 16936, 7933, 299, 264, 476, 3374, 3436, 2412, 281, 1981, 3815, 585, 595, 8461, 2999, 2568, 281, 2942, 1981, 3815, 585, 595, 8461, 25928, 630, 16936, 7933, 299, 264, 476, 10844, 25779, 281, 1447, 982, 476, 274, 269, 276, 26758, 281, 1447, 982, 476, 273, 269, 276, 25928, 270, 8461, 299, 476, 273, 269, 277, 2999, 1015, 595, 3146, 5562, 3940, 630, 16936, 13624, 264, 2999, 273, 5455, 547, 476, 1220, 16384, 292, 630, 296, 308, 8276, 299, 264, 476, 4200, 269, 280, 26268, 2158, 4530, 16238, 630, 978, 8276, 299, 264, 476, 276, 269, 4962, 476, 273, 269, 276, 268, 1015, 6184, 6081, 630, 340, 296, 308, 8276, 299, 264, 476, 274, 269, 278, 10815, 982, 476, 3374, 20554, 295, 630, 303, 326, 8276, 299, 264, 476, 2641, 476, 277, 268, 10602, 23634, 18066, 630, 1872, 7933, 299, 264, 476, 1691, 269, 276, 476, 276, 268, 2537, 12618, 9449, 630, 978, 8276, 299, 264, 476, 271, 269, 4962, 10815, 982, 476, 276, 20554, 295, 281, 1520, 1066, 665, 20294, 32430, 9449, 267, 595, 6195, 281, 13159, 1973, 1293, 267, 654, 6195, 281, 6519, 1973, 2281, 267, 681, 6195, 281, 4414, 1973, 2281, 267, 670, 16412, 281, 12920, 18331, 267, 670, 6311, 281, 12920, 520, 665, 761, 267, 14330, 309, 281, 6399, 24402, 4788, 4320, 267, 631, 6224, 281, 6399, 24402, 4788, 24562, 267, 631, 6224, 290, 281, 6399, 24402, 4788, 24562, 5834, 267, 12813, 307, 281, 17934, 2280, 267, 28251, 310, 281, 4414, 1591, 3892, 8700, 267, 12676, 281, 9208, 11539, 267, 631, 11901, 281, 6399, 6676, 2280, 4320, 267, 623, 6441, 10135, 281, 17934, 2280, 3677, 1591, 5223, 267, 623, 6311, 281, 1160, 5632, 31842, 13908, 267, 595, 8461, 281, 20840, 776, 2295, 2068, 267, 25928, 281, 8899, 5860, 9067, 29952, 267, 31613, 281, 4400, 5860, 9067, 29952, 267, 19113, 310, 281, 17934, 2280, 3892, 8700, 454, 347, 7468, 5793, 7874, 25737, 270, 15062, 19478, 24720, 2008, 347, 17138, 1323, 2254, 566, 10573, 19111, 7797, 1315, 9986, 7666, 6129, 636, 340, 2008, 347, 12041, 10573, 288, 571, 17844, 267, 8621, 573, 282, 1306, 14508, 267, 2806, 21353, 282, 19257, 345, 2801, 328, 267, 15011, 13758, 282, 570, 822, 3570, 267, 674, 622, 1889, 327, 2008, 347, 26397, 10573, 22711, 540, 15349, 12619, 6925, 2008, 347, 20684, 7392, 10573, 32747, 1867, 2008, 347, 14630, 10573, 21801, 476, 272, 267, 476, 1001, 279, 2008, 347, 28095, 9137, 10573, 308, 344, 31343, 476, 850, 594, 5894, 330, 8270, 590, 1342, 564, 1654, 715, 3918, 300, 31226, 558, 23036, 328, 1488, 553, 785, 13403, 594, 5894, 7288, 281, 21960, 9986, 7666, 6129, 636, 340, 270, 9824, 725, 1222, 9737, 12619, 5829, 20222, 543, 715, 3918, 300, 31226, 17410, 281, 589, 1862, 2008, 347, 9202, 9137, 10573, 308, 344, 31343, 1654, 589, 857, 330, 5617, 548, 330, 1488, 553, 785, 13403, 594, 5894, 7288, 270, 763, 20556, 9737, 12619, 543, 13207, 541, 894, 15350, 269, 347, 0, 303, 325, 6500, 5046, 268, 866, 28404, 3718, 538, 2048, 18600, 2622, 685, 4530, 454, 288, 1483, 8996, 1449, 540, 26172, 6500, 779, 5046, 268, 866, 6669, 538, 811, 982, 3368, 513, 2929, 1004, 25495, 602, 621, 779, 1360, 2500, 693, 7303, 3978, 4576, 610, 2669, 267, 1256, 1310, 835, 9570, 563, 26607, 11888, 779, 3370, 2164, 267, 689, 513, 2527, 12674, 5859, 538, 5840, 267, 2285, 2178, 15260, 4269, 602, 519, 2640, 2938, 538, 4130, 267, 3908, 4152, 30174, 950, 519, 6669, 729, 1031, 1454, 811, 4922, 538, 513, 2489, 2551, 609, 1585, 6502, 543, 1072, 2175, 563, 763, 6669, 729, 476, 10844, 260, 2500, 693, 7303, 4049, 2068, 1310, 1079, 15833, 543, 476, 7830, 260, 1310, 835, 563, 21132, 6059, 7145, 585, 7303, 2669, 729, 476, 7761, 260, 1079, 547, 1614, 4374, 1310, 519, 1101, 8929, 267, 513, 2557, 602, 949, 2087, 607, 12046, 13976, 936, 942, 563, 2005, 8604, 607, 2500, 538, 11570, 936, 476, 3583, 607, 538, 7820, 1004, 563, 22154, 568, 30140, 15260, 1005, 2560, 1732, 982, 594 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29173, 263, 273, 1040, 10520, 17218, 263, 272, 267, 476, 273, 2020, 258, 7179, 519, 14258, 454, 2745, 6025, 4920, 3836, 318, 663, 318, 2675, 4705, 318, 2017, 557, 994, 2745, 263, 2675, 4705, 318, 663, 4671, 4920, 3836, 318, 2017, 557, 994, 7884, 1103, 713, 3009, 267, 649, 1101, 14377, 519, 7455, 543, 1287, 4336, 621, 269, 1284, 1287, 4336, 519, 7455, 543, 1287, 14377, 621, 269, 634, 2164, 616, 1079, 1114, 14258, 269, 901, 568, 1317, 18440, 2242, 519, 2450, 540, 519, 7455, 267, 799, 5540, 875, 621, 568, 12261, 780, 2162, 2480, 2718, 543, 25927, 908, 513, 4354, 557, 15907, 513, 8672, 692, 1103, 930, 2665, 267, 596, 949, 1616, 547, 4336, 543, 14377, 513, 7455, 1472, 513, 1808, 1448, 269, 901, 666, 581, 2944, 676, 1101, 24758, 519, 7455, 865, 602, 519, 1448, 568, 693, 519, 5169, 267, 1287, 18440, 519, 7455, 267, 543, 6368, 24758, 519, 7455, 1394, 547, 922, 3312, 2990, 780, 2080, 781, 606, 1383, 1384, 3499, 7090, 454, 5228, 1623, 6853, 269, 613, 5852, 269, 2017, 557, 1104, 4354, 557, 454, 5228, 1623, 6853, 269, 29582, 1104, 1535, 454, 5228, 1623, 6853, 1104, 8672, 692, 258, 16294, 513, 7455, 454, 2017, 557, 815, 4354, 557, 9230, 343, 267, 1535, 1070, 630, 343, 267, 476, 271, 267, 476, 272, 11723, 258, 16294, 513, 1448, 454, 696, 815, 8672, 263, 272, 267, 476, 273, 2020, 258, 17361, 543, 14377, 519, 7455, 1472, 519, 1448, 454, 2675, 4705, 318, 663, 4671, 4920, 3836, 318, 2017, 557, 815, 7455, 6745, 4920, 17218, 28949, 8987, 696, 1040, 16911, 1040, 29173, 263, 273, 1040, 10520, 17218, 28949, 696, 269, 16911, 2020, 258, 7179, 519, 7455, 454, 2745, 263, 2675, 4705, 318, 663, 4671, 4920, 3836, 318, 2017, 557, 994, 7884, 1103, 713, 3009, 267, 649, 1101, 14377, 519, 7455, 865, 602, 519, 1448, 568, 693, 519, 5169, 269, 1284, 1287, 4336, 519, 7455, 543, 6368, 14377, 621, 1394, 547, 922, 3312, 2990, 269, 634, 1267, 568, 513, 7455, 602, 814, 1044, 26987, 543, 12261, 1472, 519, 1448, 780, 1103, 3932, 267, 18440, 543, 24758, 14258, 616, 3532, 2645, 538, 9511, 269, 1358, 1450, 596, 547, 1689, 519, 2450, 543, 2990, 540, 513, 7455, 267, 799, 666, 581, 3730, 538, 513, 3099, 540, 3156, 269, 2060, 6641, 13695, 267, 891, 14759, 616, 2653, 547, 1685, 543, 1174, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 16875, 2132, 678, 341, 6745, 4920, 17218, 28949, 696, 269, 16911, 994, 1038, 2132, 678, 341, 692, 825, 1219, 4336, 4311, 267, 1535, 284, 272, 267, 586, 284, 272, 267, 28887, 22561, 2187, 1038, 5727, 7021, 20183, 16387, 22209, 640, 269, 29173, 2094, 4354, 557, 568, 711, 1500, 909, 540, 18745, 780, 1038, 6201, 454, 1038, 815, 4499, 2525, 284, 692, 1038, 21188, 689, 1623, 6853, 269, 613, 5852, 269, 2017, 557, 1104, 4354, 557, 454, 1038, 21188, 689, 1623, 6853, 269, 29582, 1104, 1535, 454, 1038, 21188, 4354, 557, 9230, 343, 267, 1535, 1070, 630, 343, 267, 476, 271, 267, 476, 272, 26895, 29173, 263, 273, 994, 1038, 4354, 557, 9230, 273, 20080, 267, 1535, 1070, 630, 343, 267, 476, 271, 267, 476, 272, 4917, 1038, 8173, 1038, 952, 28887, 912, 2018, 28887, 815, 8672, 263, 696, 267, 3897, 284, 273, 994, 2018, 2132, 1582, 6745, 4920, 17218, 28949, 8987, 696, 1040, 16911, 1040, 29173, 3287, 267, 586, 1040, 10520, 17218, 28949, 696, 269, 16911, 994, 1038, 535, 343, 267, 535, 344, 815, 1582, 8807, 17313, 454, 1038, 2132, 1582, 8807, 15635, 9230, 325, 343, 20080, 267, 535, 344, 265, 344, 1070, 1582, 269, 3916, 1080, 2020, 825, 1219, 14377, 4311, 267, 1535, 284, 271, 267, 586, 284, 271, 2187, 1038, 5727, 9558, 17218, 519, 4354, 557, 676, 630, 343, 267, 586, 6393, 1038, 6201, 454, 1038, 815, 4499, 2525, 284, 692, 1038, 21188, 689, 1623, 6853, 269, 613, 5852, 269, 2017, 557, 1104, 4354, 557, 454, 1038, 21188, 689, 1623, 6853, 269, 29582, 1104, 1535, 454, 1038, 21188, 4354, 557, 9230, 343, 267, 1535, 1070, 630, 343, 267, 476, 271, 267, 476, 272, 26895, 10520, 17218, 263, 272, 267, 476, 273, 994, 1038, 4354, 557, 9230, 343, 1341, 476, 272, 267, 1535, 1341, 476, 273, 1070, 630, 343, 267, 476, 271, 267, 476, 272, 4917, 1038, 8173, 1038, 535, 343, 267, 535, 344, 815, 1582, 8807, 17313, 454, 1038, 2132, 1582, 8807, 15635, 9230, 325, 343, 1341, 1535, 267, 535, 344, 1341, 586, 1070, 1582, 269, 3916, 1080, 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, 5629, 2390, 513, 942, 267, 538, 513, 4884, 1572, 674, 7037, 6807, 267, 972, 5030, 1079, 1655, 2828, 3957, 15207, 519, 32202, 18857, 543, 22123, 519, 8293, 597, 7758, 269, 1358, 6068, 4730, 1927, 543, 2469, 593, 9035, 269, 2290, 1554, 267, 789, 4956, 547, 1831, 838, 625, 543, 4194, 13655, 1472, 4884, 780, 20755, 3240, 543, 22123, 2322, 593, 741, 22342, 22970, 543, 23475, 28904, 543, 10544, 5523, 741, 5728, 22342, 2645, 910, 513, 3172, 4328, 4837, 585, 3168, 5702, 693, 1919, 267, 513, 21641, 585, 1603, 1524, 10881, 267, 543, 513, 8755, 2775, 585, 3695, 4158, 4025, 780, 2026, 789, 941, 6972, 998, 519, 6288, 267, 789, 4718, 1945, 9490, 8345, 2282, 519, 2462, 18073, 3529, 269, 1703, 729, 513, 2370, 6177, 3957, 23894, 344, 945, 1185, 1044, 9676, 676, 930, 1611, 7314, 256, 634, 7314, 4941, 23894, 344, 547, 2995, 873, 1141, 1352, 554, 573, 1200, 1035, 1941, 588, 1662, 865, 789, 1223, 3548, 621, 782, 909, 780, 21413, 11688, 2787, 267, 15207, 543, 22123, 16204, 836, 883, 2962, 269, 1358, 1031, 741, 3172, 4328, 14296, 547, 1413, 6251, 693, 519, 3510, 543, 8068, 602, 23894, 344, 781, 12209, 941, 13615, 909, 609, 5569, 269, 4635, 741, 562, 574, 1076, 11263, 267, 789, 5402, 2150, 1221, 519, 25418, 543, 15685, 23894, 344, 780, 6826, 1188, 344, 9684, 539, 15207, 543, 22123, 585, 9494, 1200, 543, 5143, 873, 602, 519, 1611, 7314, 2141, 8288, 856, 538, 519, 2025, 1907, 8774, 2282, 519, 19209, 269, 1924, 267, 1055, 4682, 938, 12703, 838, 625, 547, 13720, 519, 27521, 338, 780, 5445, 2879, 3089, 23900, 2509, 519, 8774, 543, 32708, 539, 3330, 1210, 741, 8755, 7547, 269, 17610, 2614, 267, 972, 941, 1614, 14229, 21294, 7314, 9361, 593, 1283, 540, 513, 18061, 540, 1035, 27163, 269, 15207, 543, 22123, 3533, 795, 582, 1540, 1524, 4967, 827, 1142, 3032, 781, 5920, 543, 2623, 780, 4415, 713, 3407, 1344, 267, 789, 3357, 909, 609, 513, 1544, 547, 29057, 2476, 519, 3765, 2151, 31773, 535, 3894, 269, 3689, 267, 15207, 1500, 2386, 646, 4371, 1010, 3172, 4328, 4837, 899, 513, 11604, 547, 2992, 7943, 5196, 519, 7314, 262, 4064, 269, 3973, 267, 22123, 13603, 909, 513, 1906, 10007, 543, 3459, 19184, 532, 873, 835, 676, 835, 1985, 547, 519, 8774, 1247, 22090, 27128, 10978, 569, 267, 834, 16100, 936, 972, 256, 898, 781, 513, 9649, 23914, 4947, 547, 1205, 596, 15323, 763, 18901, 344, 2275, 520, 2468, 334, 6743, 909, 543, 4718, 741, 8086, 538, 15207, 781, 3172, 4328, 4837, 269, 15154, 621, 729, 8197, 513, 1395, 560, 9317, 23914, 2220, 334, 14563, 1524, 593, 873, 267, 519, 7314, 19679, 607, 3728, 607, 789, 1223, 780, 5629, 519, 5032, 729, 2312, 267, 23894, 344, 8120, 547, 2445, 1200, 10475, 1035, 27163, 269, 2701, 9684, 539, 15207, 543, 22123, 1586, 543, 4280, 952, 1352, 1223, 6443, 873, 593, 2104, 22342, 13485, 269, 3776, 7874, 5918, 334, 8815, 1510, 11688, 2787, 1317, 4687, 11580, 543, 2348, 1187, 609, 2828, 568, 1018, 1373, 513, 1390, 22342, 568, 782, 827, 2439, 5804, 1287, 593, 267, 1169, 12784, 1310, 1153, 267, 15207, 267, 22123, 267, 543, 23894, 344, 1131, 2743, 909, 896, 519, 2462, 18073, 3529, 547, 2671, 2984, 267, 4194, 13655, 267, 543, 2149, 519, 2831, 540, 674, 7037, 6807, 269, 1656, 8164, 2576, 2877, 948, 267, 789, 6785, 4010, 7247, 547, 1289, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 25898, 707, 3988, 2648, 891, 2442, 11609, 3184, 543, 1647, 3446, 2835, 585, 3214, 286, 6787, 707, 3214, 616, 28928, 3988, 610, 1647, 3446, 3988, 267, 1934, 616, 1434, 2835, 609, 12383, 602, 786, 9029, 547, 3988, 6502, 476, 277, 547, 476, 1321, 2336, 26877, 755, 5928, 2709, 4605, 1489, 585, 1453, 945, 616, 1175, 1565, 547, 1224, 607, 1134, 607, 1683, 513, 2631, 540, 9992, 643, 565, 640, 543, 10508, 585, 1453, 28006, 856, 540, 4098, 3184, 2835, 563, 3719, 11609, 3184, 2835, 543, 1647, 3446, 2835, 666, 581, 1175, 607, 1303, 6005, 585, 512, 1048, 3988, 607, 1134, 269, 769, 1249, 267, 596, 1522, 581, 14281, 547, 917, 1175, 875, 1082, 1647, 17263, 2835, 585, 6502, 476, 280, 547, 476, 1321, 849, 1331, 12383, 269, 1411, 3580, 4166, 1294, 1175, 875, 1082, 7498, 268, 16503, 3603, 7734, 585, 9622, 7217, 22419, 12698, 476, 277, 1107, 476, 280, 454, 268, 16503, 3603, 3848, 7734, 585, 5664, 6103, 22419, 12698, 476, 280, 1107, 476, 1321, 454, 301, 541, 3369, 531, 1133, 545, 1941, 540, 519, 7256, 676, 5484, 1849, 656, 517, 454, 293, 6020, 2894, 9169, 295, 7709, 1315, 670, 9331, 3036, 454, 303, 1872, 2349, 6814, 5510, 630, 291, 10706, 540, 513, 623, 1872, 264, 676, 918, 2643, 320, 2904, 454, 301, 1551, 730, 538, 19701, 3898, 676, 513, 561, 990, 762, 533, 1872, 3957, 32686, 609, 7899, 540, 12383, 543, 1804, 21092, 751, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 1975, 625, 1299, 1975, 3539, 1315, 17718, 333, 6260, 543, 1763, 26443, 631, 3827, 267, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5228, 11885, 1104, 27661, 5814, 11346, 692, 3698, 3758, 273, 32207, 30467, 6600, 32327, 2187, 825, 6580, 10574, 12385, 267, 6580, 24248, 1564, 815, 3758, 273, 30467, 6600, 32327, 994, 825, 2343, 12385, 267, 9832, 267, 1295, 11749, 1132, 815, 10081, 32207, 5560, 908, 10574, 12385, 264, 3097, 825, 2132, 2343, 12385, 267, 6580, 24248, 1564, 267, 9832, 267, 1295, 11749, 1132, 1948, 9832, 267, 1295, 11749, 1132, 786, 581, 1031, 538, 519, 2343, 540, 1007, 3403, 692, 3698, 3758, 273, 30467, 6600, 32327, 2187, 825, 9992, 815, 1930, 6600, 32327, 994, 825, 5044, 5357, 710, 815, 9992, 18667, 6050, 4590, 825, 1297, 8170, 299, 1149, 815, 7003, 263, 6783, 5357, 710, 994, 825, 2132, 12385, 815, 21325, 9230, 15893, 8170, 299, 1149, 267, 476, 274, 4297, 1948, 25585, 476, 274, 286, 1071, 345, 476, 274, 2934, 585, 835, 1268, 282, 1946, 476, 273, 8424, 540, 20465, 286, 1071, 345, 621, 781, 519, 476, 272, 560, 9936, 607, 513, 2898, 454, 825, 1362, 299, 8475, 309, 10725, 815, 11713, 825, 4994, 815, 476, 271, 454, 825, 585, 1899, 538, 5044, 5357, 710, 912, 1038, 1899, 815, 1899, 14714, 8692, 4590, 1038, 1592, 5804, 18118, 815, 1899, 21858, 28361, 339, 5073, 1038, 2132, 12385, 27709, 267, 281, 9948, 815, 1592, 5804, 18118, 314, 271, 281, 274, 316, 1948, 476, 1496, 8161, 267, 281, 316, 815, 1496, 8161, 267, 476, 271, 281, 17920, 2639, 1038, 1362, 299, 8475, 309, 10725, 6910, 17301, 17338, 5804, 18118, 15631, 272, 316, 4297, 1948, 1297, 26013, 703, 454, 1038, 4994, 6834, 476, 272, 454, 825, 2132, 2132, 12385, 267, 1362, 299, 8475, 309, 10725, 22562, 3698, 10081, 32207, 16597, 13729, 2187, 825, 1295, 309, 1023, 815, 1239, 13729, 269, 2381, 263, 271, 264, 1948, 476, 271, 9847, 4584, 1295, 689, 9587, 825, 630, 274, 267, 272, 994, 825, 3193, 309, 1023, 815, 1239, 13729, 27982, 263, 271, 264, 1948, 1482, 607, 1657, 454, 825, 9832, 815, 3193, 309, 1023, 910, 1295, 309, 1023, 454, 825, 2343, 10574, 13729, 815, 21325, 263, 27729, 16597, 13729, 4917, 825, 544, 815, 1239, 13729, 17482, 314, 271, 2639, 825, 2343, 10574, 13729, 815, 1239, 13729, 910, 22739, 263, 2381, 309, 1023, 267, 630, 332, 267, 272, 4297, 1948, 11498, 547, 5119, 454, 825, 2343, 10574, 13729, 815, 2343, 10574, 13729, 14121, 850, 16868, 5190, 267, 630, 332, 267, 272, 4917, 825, 2132, 2343, 10574, 13729, 267, 9832, 267, 1295, 309, 1023, 454, 672, 0, 5814, 4351, 454, 5814, 4584, 548, 454, 5228, 12190, 1104, 27661, 5228, 28184, 5793, 1104, 2608, 19638, 258, 309, 1446, 584, 632, 561, 262, 553, 454, 3698, 1130, 16725, 318, 553, 3890, 23241, 453, 341, 571, 328, 24449, 1446, 584, 318, 553, 815, 703, 9272, 9497, 341, 537, 548, 345, 642, 748, 6446, 561, 262, 553, 1130, 550, 476, 272, 522, 340, 476, 1556, 7790, 8442, 2020, 14851, 642, 571, 328, 24449, 1446, 584, 318, 553, 2652, 476, 272, 10778, 453, 13537, 2891, 309, 582, 516, 607, 642, 2246, 546, 15530, 768, 9820, 476, 272, 5602, 453, 16596, 642, 571, 328, 24449, 1446, 584, 318, 553, 692, 28432, 10778, 453, 13537, 2891, 341, 582, 516, 607, 642, 2246, 546, 15530, 768, 9820, 476, 1556, 5602, 453, 16596, 476, 1556, 454, 0, 11133, 815, 703, 9272, 2891, 10938, 513, 1297, 281, 27328, 15965, 30583, 815, 11713, 258, 11315, 1900, 454, 258, 585, 562, 538, 2039, 263, 272, 267, 1003, 266, 272, 2187, 258, 672, 952, 1003, 4939, 562, 2652, 476, 271, 912, 258, 1363, 16975, 6910, 3799, 994, 258, 1820, 5560, 643, 30583, 2020, 1721, 562, 538, 2039, 263, 272, 267, 703, 16325, 1315, 476, 273, 15892, 825, 952, 1003, 4939, 562, 2652, 476, 271, 912, 1038, 16975, 6910, 3799, 994, 2745, 5560, 643, 30583, 264, 0, 5035, 19219, 912, 476, 1219, 6449, 8181, 9191, 1345, 267, 11907, 2187, 825, 1582, 21606, 284, 11907, 454, 825, 1582, 12785, 339, 22561, 454, 5035, 590, 17247, 912, 476, 1219, 6449, 8181, 9191, 1345, 2187, 825, 1582, 23584, 22561, 454, 476, 1219, 7696, 4263, 289, 1122, 4311, 267, 11907, 2187, 825, 10917, 284, 11966, 16597, 994, 825, 10917, 12785, 339, 284, 1345, 23584, 454, 825, 1582, 23584, 284, 31184, 3097, 476, 1219, 1642, 4263, 289, 1122, 4311, 2187, 825, 10917, 284, 1345, 23584, 454, 825, 1582, 23584, 284, 1345, 23584, 12785, 339, 454, 825, 10917, 12785, 339, 22561, 825, 454, 476, 1219, 1820, 4289, 4311, 2187, 825, 10917, 284, 1345, 23584, 454, 825, 1247, 10917, 256, 284, 14085, 912, 8587, 1820, 6025, 11391, 21606, 2437, 2525, 285, 2580, 754, 8782, 5073, 8587, 10917, 284, 31184, 12785, 339, 454, 825, 1820, 2891, 14085, 5602, 28128, 284, 306, 17247, 4590, 577, 284, 271, 454, 6112, 669, 256, 284, 275, 912, 476, 1820, 2891, 15062, 539, 1592, 2936, 1092, 542, 14826, 14824, 272, 27044, 542, 538, 519, 3459, 940, 476, 273, 19709, 2280, 542, 476, 274, 31428, 5532, 1592, 476, 275, 20216, 527, 5602, 476, 669, 25507, 9272, 15405, 476, 952, 669, 2525, 272, 912, 825, 1820, 2891, 10938, 1871, 540, 6843, 5602, 825, 1239, 284, 6358, 4590, 825, 1073, 329, 27044, 4263, 289, 1122, 16597, 994, 476, 8640, 669, 2525, 273, 912, 825, 1073, 329, 6155, 601, 4263, 289, 1122, 4590, 825, 1073, 329, 31428, 4289, 3890, 22322, 8931, 476, 8640, 669, 2525, 274, 912, 825, 1073, 329, 31428, 4289, 4590, 11434, 454, 0, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 22561, 267, 700, 22561, 267, 681, 22561, 2187, 1038, 1582, 27841, 815, 1871, 454, 1038, 1582, 11482, 815, 700, 454, 1038, 1582, 10611, 815, 681, 7531, 5035, 23030, 15507, 21698, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 3597, 22561, 267, 700, 815, 7183, 267, 681, 815, 7183, 2187, 1038, 1582, 269, 10174, 815, 19219, 20172, 994, 1038, 1582, 11482, 815, 700, 454, 1038, 1582, 10611, 815, 681, 692, 825, 1219, 7696, 4311, 267, 1871, 2187, 1038, 952, 1582, 269, 10174, 568, 7183, 912, 2018, 1582, 269, 10174, 815, 19219, 263, 7407, 994, 1038, 3116, 912, 2018, 1582, 11519, 12133, 4311, 269, 10174, 267, 1871, 2020, 825, 1219, 9041, 12133, 4311, 267, 6843, 267, 1871, 2187, 1038, 952, 6843, 27841, 3436, 1871, 912, 2018, 952, 6843, 11482, 568, 7183, 912, 3546, 6843, 11482, 815, 19219, 263, 7407, 2020, 2018, 3116, 912, 3546, 1582, 11519, 12133, 27316, 11482, 267, 1871, 994, 1038, 3116, 912, 2018, 952, 6843, 10611, 568, 7183, 912, 3546, 6843, 10611, 815, 19219, 263, 7407, 994, 2018, 3116, 912, 3546, 1582, 11519, 12133, 27316, 10611, 267, 1871, 2020, 825, 1219, 3568, 4311, 267, 3077, 2187, 1038, 952, 1582, 269, 10174, 568, 7183, 912, 2018, 2132, 7183, 454, 1038, 6843, 815, 1582, 269, 10174, 454, 1038, 1247, 6843, 568, 711, 7183, 912, 2018, 952, 6843, 27841, 2652, 3077, 912, 3546, 2132, 6936, 454, 2018, 952, 3077, 13843, 6843, 27841, 912, 3546, 6843, 815, 6843, 10611, 454, 2018, 3116, 912, 3546, 6843, 815, 6843, 11482, 454, 1038, 2132, 8771, 692, 825, 1219, 1205, 26174, 4311, 2187, 1038, 952, 1582, 269, 10174, 568, 7183, 912, 2018, 2132, 7183, 454, 1038, 6843, 815, 1582, 269, 10174, 454, 1038, 1247, 6843, 10611, 568, 711, 7183, 912, 2018, 6843, 815, 6843, 10611, 454, 1038, 2132, 6843, 27841, 7531, 258, 536, 339, 815, 23030, 15507, 21698, 263, 273, 994, 258, 1820, 6357, 339, 269, 10174, 27841, 994, 0, 258, 268, 265, 268, 8193, 30016, 268, 279, 20609, 7042, 328, 815, 476, 272, 454, 6112, 1775, 2652, 476, 272, 912, 825, 513, 815, 703, 9272, 15405, 825, 952, 513, 3436, 476, 1911, 281, 2736, 454, 825, 952, 513, 2999, 476, 1015, 281, 3136, 454, 825, 1820, 19304, 5416, 4297, 0, 258, 268, 265, 268, 8193, 30016, 268, 279, 20609, 7042, 320, 815, 703, 9272, 15405, 321, 815, 703, 9272, 15405, 323, 815, 476, 272, 454, 604, 630, 320, 2999, 536, 2187, 825, 546, 815, 513, 454, 12828, 281, 546, 815, 536, 454, 6112, 546, 4939, 513, 11203, 476, 271, 610, 546, 4939, 536, 11203, 476, 271, 912, 825, 546, 6834, 272, 454, 2745, 5560, 264, 0, 258, 10112, 9892, 476, 273, 454, 258, 19865, 476, 272, 7531, 258, 31711, 519, 14531, 1731, 6906, 1599, 563, 3698, 6906, 6357, 848, 17107, 825, 1948, 763, 1871, 1775, 4564, 519, 1297, 540, 14531, 328, 802, 547, 1820, 829, 1899, 563, 825, 1775, 815, 476, 271, 454, 825, 1948, 1607, 8520, 4291, 2373, 2394, 519, 3490, 10301, 910, 272, 269, 5221, 519, 6906, 454, 825, 1948, 529, 1318, 20582, 267, 519, 3490, 568, 2965, 519, 1297, 540, 5624, 563, 825, 1247, 3490, 3436, 910, 272, 912, 1038, 1948, 19530, 1412, 19668, 262, 1297, 540, 5624, 267, 4553, 676, 1412, 328, 262, 14531, 328, 802, 563, 1038, 1820, 1412, 1422, 339, 262, 2608, 3490, 1341, 24003, 315, 339, 262, 2608, 1775, 454, 1038, 1948, 2745, 513, 7299, 9184, 1310, 1142, 1899, 269, 1467, 454, 1038, 1820, 1412, 315, 341, 7055, 1038, 1948, 763, 1297, 540, 5624, 4422, 1524, 1247, 519, 1297, 540, 14531, 328, 802, 4422, 909, 454, 1038, 1948, 5976, 1142, 1899, 563, 1038, 3490, 20699, 476, 272, 454, 1038, 1775, 6834, 476, 272, 692, 258, 23220, 696, 519, 3593, 585, 519, 1297, 540, 14531, 328, 802, 596, 1131, 899, 563, 258, 1103, 4890, 640, 713, 568, 519, 1297, 540, 5624, 855, 621, 31267, 519, 1482, 1198, 269, 3097, 19668, 815, 703, 9272, 2891, 11767, 519, 1297, 540, 14531, 328, 802, 585, 519, 3490, 281, 27328, 28256, 4120, 6357, 848, 994, 0, 28843, 28843, 28843, 283, 16777, 4696, 454, 258, 10112, 9892, 476, 272, 454, 258, 19865, 476, 272, 692, 258, 31711, 519, 5569, 547, 581, 17332, 1063, 1142, 3693, 540, 519, 1592, 1412, 26258, 23823, 11898, 815, 1412, 1341, 1412, 454, 258, 16954, 3634, 519, 1592, 4829, 609, 930, 17062, 5613, 563, 26258, 815, 18358, 289, 534, 3570, 3299, 1412, 290, 615, 787, 3299, 1412, 7775, 1052, 3299, 1412, 300, 24546, 3299, 1412, 1805, 3863, 9440, 23300, 258, 1607, 4971, 10905, 519, 2609, 689, 519, 1592, 4829, 883, 519, 1007, 5569, 454, 258, 262, 323, 2884, 3299, 543, 7696, 338, 519, 5569, 1412, 11898, 262, 1063, 873, 563, 323, 2884, 815, 2230, 12459, 7765, 6600, 8816, 994, 258, 19530, 519, 1267, 563, 2745, 2732, 454, 4499, 2525, 23751, 258, 10112, 9892, 476, 272, 1477, 258, 19865, 476, 272, 5897, 258, 323, 2884, 815, 15234, 1477, 258, 26258, 815, 18358, 289, 534, 3570, 3299, 1412, 290, 615, 787, 3299, 1412, 7775, 1052, 3299, 1412, 300, 24546, 3299, 1412, 1805, 3863, 9440, 11172, 1477, 258, 26258, 31699, 14052, 258, 1721, 1775, 538, 4829, 6769, 825, 1948, 323, 2884, 6834, 1775, 1341, 1412, 1341, 1412, 1477, 28744, 2732, 5897, 258, 31711, 519, 5569, 547, 581, 17332, 1063, 1142, 3693, 540, 519, 1592, 1412, 26258, 8339, 1477, 11898, 815, 1412, 1341, 1412, 1477, 258, 16954, 3634, 519, 1592, 4829, 609, 930, 17062, 5613, 23228, 26258, 815, 18358, 289, 534, 3570, 3299, 1412, 290, 615, 787, 3299, 1412, 7775, 1052, 3299, 1412, 300, 24546, 3299, 1412, 1805, 3863, 9440, 11172, 1477, 26258, 31699, 14052, 258, 1607, 4971, 3217, 2609, 689, 519, 1592, 4829, 543, 7696, 338, 519, 5569, 1477, 258, 262, 11898, 262, 1063, 873, 23228, 323, 2884, 815, 2230, 12459, 7765, 6600, 8816, 3418, 258, 19530, 519, 1267, 23228, 2745, 2732, 1477, 9563, 9563, 24257, 524, 27219, 276, 320, 1626, 26501, 3445, 280, 278, 17304, 4792, 323, 12293, 324, 6507, 272, 1372, 274, 325, 322, 278, 4037, 2004, 279, 320, 278, 325, 275, 454, 0, 5814, 23094, 454, 5814, 19523, 454, 5814, 8142, 532, 454, 5814, 942, 454, 5228, 20313, 1104, 6581, 826, 692, 301, 9331, 21612, 318, 29996, 318, 8025, 3918, 4696, 306, 815, 273, 454, 297, 15477, 318, 301, 9331, 21612, 815, 1496, 272, 267, 476, 273, 2639, 28255, 284, 6581, 826, 4590, 718, 318, 6618, 687, 815, 11713, 718, 318, 5417, 816, 815, 29129, 692, 3698, 1711, 5334, 12714, 10031, 825, 2119, 912, 11434, 2518, 3984, 454, 11434, 2518, 2823, 3097, 11434, 2518, 521, 8528, 11434, 3984, 284, 3269, 454, 11434, 2823, 815, 476, 15886, 275, 692, 11434, 521, 815, 23094, 4732, 12714, 10797, 825, 4849, 23094, 269, 19587, 607, 20444, 326, 912, 1038, 1820, 2891, 306, 12714, 20520, 5470, 20444, 326, 568, 834, 266, 1598, 263, 916, 326, 11723, 258, 289, 4193, 519, 23094, 7117, 663, 6947, 547, 4276, 3097, 3698, 12622, 5334, 12714, 10031, 825, 2119, 912, 11434, 2518, 3984, 454, 11434, 2518, 2823, 3097, 11434, 2518, 521, 8528, 11434, 1820, 2891 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 888, 18250, 298, 20044, 773, 7731, 3778, 16680, 539, 607, 5839, 298, 20044, 773, 267, 21025, 20044, 773, 267, 8230, 345, 773, 543, 918, 31731, 267, 713, 568, 513, 4583, 13677, 21519, 269, 769, 519, 717, 6130, 545, 621, 568, 6592, 607, 5839, 1723, 4883, 747, 610, 5839, 11155, 4883, 747, 267, 24758, 607, 2048, 1492, 5067, 540, 3213, 514, 928, 778, 17483, 24078, 972, 2731, 513, 1849, 534, 2605, 6471, 888, 2467, 616, 2965, 1079, 28334, 2605, 553, 619, 1107, 519, 1164, 1633, 28334, 630, 1849, 534, 2605, 6471, 540, 700, 990, 520, 267, 547, 799, 16092, 12851, 264, 543, 513, 1644, 1970, 1633, 2605, 6471, 1920, 269, 2605, 6471, 540, 700, 990, 520, 779, 8513, 10665, 519, 631, 2586, 345, 773, 1849, 534, 538, 769, 591, 1145, 6879, 790, 609, 513, 8978, 10160, 538, 2142, 879, 3228, 16836, 630, 290, 770, 548, 667, 1735, 773, 1916, 8005, 12199, 10430, 538, 476, 14690, 274, 888, 763, 6196, 23239, 2658, 729, 10294, 3751, 6276, 24163, 540, 10430, 267, 543, 8176, 9709, 1010, 12289, 540, 4789, 269, 0, 1432, 568, 13672, 9178, 543, 1946, 1281, 621, 4755, 888, 272, 269, 278, 269, 476, 272, 24488, 9178, 269, 24488, 630, 10382, 264, 9178, 4386, 950, 519, 715, 270, 313, 5223, 538, 513, 13540, 568, 1932, 1970, 269, 769, 713, 1184, 267, 606, 968, 10401, 9325, 2223, 799, 568, 519, 1482, 607, 513, 26775, 13540, 476, 275, 3891, 267, 568, 19501, 563, 1432, 4523, 538, 606, 13672, 9178, 3830, 888, 288, 13540, 2242, 883, 513, 1007, 3693, 676, 32749, 13672, 610, 12498, 5536, 1547, 1452, 2242, 616, 4330, 1210, 6046, 4834, 269, 24488, 9178, 630, 18314, 22571, 543, 1079, 25268, 3738, 2242, 519, 2527, 1297, 540, 519, 3693, 676, 910, 275, 543, 519, 10570, 1297, 676, 910, 273, 563, 1432, 4523, 1282, 13672, 9178, 28866, 888, 1432, 4523, 1282, 13672, 9178, 286, 1323, 13672, 9325, 814, 476, 273, 22571, 543, 476, 273, 25268, 543, 568, 9797, 9901, 269, 4438, 13672, 9178, 519, 11046, 13847, 606, 13672, 9325, 269, 901, 11081, 519, 10570, 1297, 676, 476, 273, 543, 519, 10570, 2527, 676, 476, 275, 563, 1432, 4523, 1282, 12498, 9178, 888, 289, 9508, 9178, 4386, 950, 267, 538, 513, 13540, 609, 1932, 1082, 22571, 610, 1932, 1082, 25268, 267, 835, 540, 519, 22571, 610, 25268, 568, 9927, 883, 519, 824, 269, 769, 12498, 14263, 9178, 267, 513, 23377, 1232, 904, 883, 513, 23442, 267, 606, 6475, 267, 543, 606, 1884, 710, 583, 337, 3626, 281, 562, 3331, 484, 533, 1341, 552, 1107, 1341, 563, 1432, 4523, 609, 519, 10570, 1297, 1282, 13672, 9178, 888, 1103, 13672, 9178, 267, 519, 10570, 1297, 2242, 267, 865, 519, 3312, 630, 528, 2385, 264, 8444, 543, 519, 9178, 1790, 6055, 630, 528, 8250, 264, 8444, 616, 1114, 2609, 543, 4061, 723, 1114, 3114, 3601, 563, 1432, 568, 13672, 9178, 538, 6323, 888, 2704, 6495, 9178, 568, 519, 6046, 9178, 1184, 17929, 519, 2385, 13540, 32307, 606, 13672, 9325, 269, 634, 13672, 9325, 267, 1785, 12147, 6697, 547, 519, 13540, 540, 513, 26775, 11046, 543, 20922, 676, 519, 5259, 4484, 14668, 267, 5161, 540, 1079, 22571, 543, 1079, 25268, 563, 7617, 540, 519, 1739, 568, 513, 8984, 540, 13672, 9178, 888, 763, 2504, 540, 13672, 5536, 568, 17941, 13672, 9178, 269, 24488, 5536, 2874, 540, 1079, 22571, 543, 1079, 25268, 3808, 1927, 883, 513, 9325, 9838, 547, 513, 26775, 13540, 269, 24488, 5536, 616, 5266, 1804, 543, 4163, 513, 5595, 2318, 5279, 269, 1358, 616, 711, 1360, 11579, 7992, 267, 543, 513, 4062, 540, 1957, 666, 3247, 873, 563, 1432, 4523, 1282, 14599, 9178, 20569, 28866, 888, 1432, 4523, 1282, 14599, 9178, 286, 9977, 24745, 2490, 883, 8250, 24745, 269, 1548, 568, 519, 3621, 4214, 540, 3368, 3734, 286, 5565, 11149, 3180, 519, 1482, 14599, 24236, 563, 1432, 4523, 1282, 18325, 9178, 28866, 888, 263, 4462, 560, 762, 1107, 285, 7123, 1070, 621, 10943, 1080, 909, 4758, 1055, 5982, 267, 543, 596, 616, 2451, 609, 513, 7123, 3693, 1341, 13672, 11486, 9508, 17320, 10397, 269, 634, 2385, 13540, 19380, 476, 273, 22571, 543, 476, 273, 25268, 269, 634, 10570, 1297, 11081, 676, 476, 273, 543, 2527, 1297, 11081, 676, 476, 275, 269, 589, 23377, 3330, 519, 2385, 13540, 10943, 1080, 883, 513, 23442, 543, 606, 6475, 563, 1432, 4523, 1282, 519, 14599, 9178, 540, 606, 3693, 888, 2691, 14599, 8444, 9178, 267, 789, 5305, 1648, 538, 519, 1106, 540, 9357, 1944, 5982, 630, 10401, 5536, 267, 12498, 5536, 543, 5924, 18325, 12345, 1040, 634, 1648, 568, 1572, 9357, 1944, 5982, 1317, 621, 814, 2614, 1648, 547, 22545, 17401, 3808, 9211, 689, 606, 11046, 779, 10739, 269, 901, 3123, 519, 11046, 547, 1831, 513, 9901, 9357, 563, 1432, 568, 19501, 1282, 14599, 9178, 28866, 888, 1492, 1184, 676, 799, 606, 18633, 13540, 32307, 835, 610, 811, 5536, 610, 1648, 538, 519, 1106, 540, 13590, 5982, 269, 519, 5536, 602, 616, 5950, 689, 519, 13540, 1282, 14599, 9178, 267, 971, 607, 25268, 267, 9211, 267, 543, 22726, 269, 0, 24478, 633, 1603, 1650, 26784, 31872, 273, 454, 24145, 1155, 689, 8115, 4248, 1533, 6280, 267, 476, 1001, 277, 267, 476, 1001, 277, 267, 4730, 609, 21173, 7068, 568, 6035, 676, 795, 517, 11936, 513, 2110, 1650, 269, 898, 7012, 1405, 2907, 2182, 2614, 547, 1205, 3860, 1603, 649, 3494, 1118, 803, 12837, 269, 5565, 10453, 693, 1603, 12987, 786, 2671, 3860, 543, 3860, 1603, 269, 4024, 2328, 513, 3209, 543, 2257, 5708, 547, 13622, 707, 9345, 543, 23445, 610, 15513, 543, 2257, 5708, 269, 16270, 513, 3860, 1603, 12987, 585, 10026, 1153, 267, 476, 1001, 277, 267, 8908, 267, 799, 941, 543, 1832, 6060, 538, 513, 7669, 609, 2831, 269, 7647, 2880, 781, 1650, 538, 15242, 267, 1053, 1451, 827, 513, 21173, 7068, 538, 513, 2370, 9390, 13442, 267, 1775, 899, 547, 4688, 267, 476, 1001, 277, 267, 543, 269, 14210, 21173, 13442, 31825, 538, 3860, 1603, 2984, 3370, 269, 6875, 851, 538, 3860, 1603, 6735, 910, 476, 1789, 910, 476, 1789, 910, 9910, 521, 15676, 267, 649, 1500, 609, 875, 3860, 609, 873, 269, 634, 2875, 6212, 593, 3425, 281, 476, 275, 2081, 547, 9096, 909, 267, 4589, 1222, 269, 4855, 10130, 4734, 596, 616, 547, 8300, 10453, 16994, 547, 1711, 741, 960, 3370, 269, 1452, 5396, 281, 723, 741, 960, 1354, 621, 568, 513, 3860, 1603, 2093, 267, 3288, 603, 543, 1603, 269, 594, 729, 5461, 543, 7125, 585, 14987, 281, 606, 1344, 269, 28711, 818, 321, 3578, 2254, 339, 568, 711, 1175, 476, 1911, 1913, 6273, 676, 1603, 811, 693, 1603, 269, 8073, 741, 1378, 1412, 28755, 5414, 7068, 3299, 799, 729, 5461, 543, 5876, 269, 6755, 5526, 1447, 899, 547, 5000, 707, 3860, 1603, 21569, 538, 1931, 547, 2887, 6366, 269, 7581, 591, 543, 1780, 856, 540, 1893, 543, 6266, 540, 14070, 3676, 267, 14810, 267, 4589, 1222, 269, 6755, 610, 15513, 543, 513, 1390, 3860, 1603, 1983, 547, 6338, 519, 1453, 547, 1603, 269, 6904, 28749, 602, 7512, 1762, 5830, 262, 6216, 1007, 6735, 13922, 547, 2328, 513, 1650, 538, 3860, 1603, 269, 898, 2591, 1053, 538, 519, 1433, 12857, 3988, 547, 1205, 1603, 12987, 267, 19782, 3744, 5950, 2831, 269, 4438, 519, 1966, 568, 3860, 1603, 543, 922, 3872, 29943, 3908, 15668, 2754, 11368, 538, 4387, 945, 3126, 476, 1556, 286, 3776, 1883, 3942, 476, 275, 723, 1044, 2870, 741, 13144, 269, 3503, 513, 3860, 1603, 4388, 593, 519, 6437, 1210, 2029, 3947, 2831, 269, 3794, 7112, 568, 10924, 602, 31721, 1472, 596, 666, 1405, 1711, 10853, 14797, 543, 606, 1344, 1257, 827, 513, 5326, 269, 8479, 5830, 9907, 938, 1883, 3942, 476, 273, 10453, 538, 3860, 609, 513, 9910, 1650, 26784, 3214, 262, 1603, 827, 513, 9649, 17178, 1500, 609, 669, 558, 4771, 4522, 2336, 24246, 519, 7084, 267, 476, 1001, 279, 268, 2263, 21173, 7068, 538, 2038, 632, 4895, 267, 3860, 1603, 2534, 547, 8396, 15848, 267, 1053, 269, 634, 7068, 602, 666, 849, 946, 540, 1576, 267, 972, 616, 3860, 543, 5862, 707, 1360, 1378, 21173, 2699, 30472, 676, 4101, 873, 547, 4996, 269, 20505, 519, 11954, 22796, 547, 2328, 2947, 14501, 585, 10026, 1153, 269, 6755, 5526, 1447, 899, 606, 1344, 1257, 827, 1585, 3662, 609, 875, 3860, 1603, 14950, 543, 811, 2835, 1175, 476, 1911, 1913, 256, 20505, 519, 1158, 602, 7512, 1762, 5830, 2832, 568, 513, 2731, 1434, 1650, 538, 3860, 1603, 12987, 1865, 707, 1126, 547, 269, 1548, 4523, 950, 649, 666, 581, 1500, 2759, 13050, 2458, 720, 2984, 607, 851, 538, 519, 2197, 538, 24469, 543, 2984, 281, 1279, 1850, 476, 5197, 7825, 1711, 741, 13144, 256, 2368, 7068, 602, 669, 30519, 718, 786, 723, 1044, 2870, 741, 13144, 256, 645, 755, 856, 540, 938, 5863, 476, 275, 628, 17603, 268, 521, 732, 655, 267, 4465, 519, 21173, 7068, 602, 2661, 538, 938, 1360, 1378, 21173, 7068, 543, 23445, 610, 3274, 1743, 269, 2073, 3288, 603, 543, 646, 11339, 811, 693, 1153, 19942, 856, 930, 1603, 16311, 585, 269, 1358, 1831, 10565, 1152, 950, 649, 1500, 856, 1957, 543, 11235, 547, 2328, 513, 6498, 540, 3860, 543, 646, 4503, 1010, 1152, 950, 2029, 269, 8281, 610, 1888, 585, 14987, 281, 723, 707, 4276, 609, 875, 3860, 2093, 547, 269, 1306, 851, 538, 585, 519, 1762, 5830, 1762, 5830, 1762, 5830, 262, 5767, 9910, 1650, 269, 4014, 519, 2534, 547, 2887, 865, 24330, 609, 9403, 269, 7581, 591, 543, 513, 9910, 1650, 827, 707, 21173, 13442, 609, 2831, 883, 1164, 10591, 865, 24330, 609, 707, 9843, 269, 3414, 2542, 267, 616, 547, 2328, 513, 24077, 4674, 693, 707, 1257, 26700, 1524, 1022, 8292, 602, 1491, 513, 6074, 269, 3767, 1614, 10453, 538, 519, 1007, 5856, 267, 4904, 609, 9403, 269, 23512, 790, 10453, 16994, 547, 1246, 513, 21173, 538, 3860, 2093, 547, 519, 2984, 3370, 269, 8479, 5830, 2832, 568, 519, 7084, 1775, 9096, 1603, 676, 1743, 269, 9085, 689, 707, 544, 2224, 883, 1164, 10591, 865, 602, 649, 723, 741, 960, 1354, 621, 568, 269, 7647, 2880, 781, 1650, 827, 707, 10130, 4734, 596, 1223, 2328, 513, 1592, 540, 568, 5055, 521, 1941, 320, 269, 3503, 513, 1804, 1592, 540, 2721, 20410, 7005, 649, 3893, 519, 28075, 4445, 1396, 549, 1762, 5830, 568, 2469, 513, 1592, 540, 1743, 269, 4438, 519, 17909, 568, 513, 3860, 1603, 12987, 267, 543, 1010, 28410, 547, 1711, 513, 2370, 9390, 13442, 31825, 538, 1148, 609, 707, 9345, 256, 11300, 519, 1762, 1453, 267, 1250, 1153, 19942, 856, 540, 1576, 267, 799, 2408, 538, 563, 21930, 5830, 972, 616, 547, 1205, 513, 1413, 693, 269, 2073, 9954, 543, 19511, 2984, 602, 8164, 1775, 9096, 1603, 16311, 585, 269, 3733, 5816, 786, 948, 596, 1223, 2328, 891, 5396, 281, 3280, 1055, 267, 543, 2721, 543, 5876, 13576, 256, 1323, 2680, 1141, 519, 524, 323, 21173, 7068, 6735, 910, 1224, 267, 616, 547, 2887, 6366, 269, 8073, 10853, 14797, 543, 9684, 2685, 267, 543, 811, 693, 1153, 547, 1603, 543, 11235, 547, 2887, 6366, 269, 1261, 4503, 1010, 1152, 4126, 646, 11339, 811, 693, 707, 3988, 547, 4497, 538, 585, 6667, 269, 14210, 3332, 2689, 948, 1603, 2699, 30472, 676, 4101, 873, 547, 4497, 538, 627, 30178, 543, 1010, 28410, 547, 2972, 3860, 1603, 6735, 1141, 519, 11090, 269, 11300, 1603, 6735, 267, 8908, 267, 1053, 1031, 741, 1378, 21173, 7068, 568, 547, 5000, 1762, 5830, 2832, 568, 10924, 602, 676, 269, 3371, 616, 1631, 596, 798, 4010, 602, 1312, 1250, 5816, 786, 2671, 3860, 1603, 14950, 543, 513, 7669, 609, 707, 3988, 547, 2328, 938, 5321, 269, 26488, 281, 2831, 543, 1603, 2093, 547, 723, 1142, 1126, 547, 2328, 513, 1390, 7260, 267, 13227, 1117, 676, 21173, 4729, 6335, 543, 5876, 13576, 256, 7581, 591, 543, 6266, 540, 1576, 267, 1510, 2469, 513, 3860, 269, 3776, 16212, 1257, 26700, 1524, 1022, 8292, 602, 8164, 1775, 4126, 543, 6204, 2917, 324, 267, 543, 2025, 8695, 713, 8930, 543, 3860, 519, 6437, 1210, 2029, 563, 29222, 3860, 1603, 2238, 585, 1164, 1153, 454, 295, 14019, 24625, 610, 4444, 519, 1362, 941, 543, 811, 693, 269, 8073, 513, 2731, 1434, 1650, 538, 1362, 476, 274, 543, 513, 9910, 521, 15676, 6735, 267, 795, 1328, 15949, 331, 1495, 281, 5045, 5397, 3860, 1603, 16311, 568, 519, 11755, 4055, 568, 269, 6755, 1032, 476, 280, 3860, 1603, 3992, 1544, 1447, 899, 547, 2887, 865, 24330, 609, 891, 3860, 2093, 596, 4312, 1044, 2870, 741, 8748, 960 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4936, 10003, 338, 3194, 7433, 267, 3883, 18614, 269, 476, 7277, 476, 31275, 11536, 6347, 22076, 267, 2165, 543, 2560, 21044, 1557, 6249, 1480, 543, 2168, 11585, 4634, 2221, 267, 519, 21219, 540, 4936, 5656, 267, 585, 1206, 267, 9897, 267, 543, 31725, 666, 581, 1336, 782, 936, 12729, 6780, 948, 6535, 753, 19005, 7952, 269, 20410, 1557, 282, 875, 547, 2328, 513, 1957, 282, 2353, 10003, 338, 1291, 547, 7507, 267, 543, 7507, 547, 5164, 326, 559, 543, 29191, 573, 281, 589, 22414, 4828, 540, 5565, 4279, 4936, 7313, 1115, 269, 11146, 543, 2530, 267, 10279, 543, 513, 26894, 9525, 538, 642, 28126, 2112, 1557, 901, 1433, 568, 513, 26278, 2594, 540, 513, 3126, 540, 15322, 1500, 2059, 2947, 540, 519, 3504, 4936, 9897, 540, 7977, 910, 519, 966, 807, 2561, 807, 799, 6905, 689, 7507, 547, 519, 11780, 1063, 519, 14564, 543, 519, 5927, 2231, 540, 5607, 269, 3245, 972, 519, 4155, 3366, 7532, 2066, 519, 2098, 698, 4592, 15142, 547, 519, 4872, 540, 8278, 321, 520, 3570, 543, 631, 969, 267, 18520, 10749, 269, 524, 6767, 28671, 3804, 476, 272, 3594, 4936, 9897, 1557, 269, 1548, 827, 1582, 6142, 269, 1809, 1082, 540, 873, 616, 711, 3222, 540, 1018, 519, 7355, 540, 513, 1434, 1382, 1957, 1383, 616, 543, 8754, 3442, 513, 4351, 835, 0, 20685, 923, 267, 10220, 543, 13753, 6280, 4204, 3609, 5604, 29395, 540, 10220, 5829, 2474, 2533, 543, 824, 2200, 1644, 547, 7881, 269, 5530, 15460, 593, 7881, 1883, 16166, 543, 8847, 693, 16081, 1260, 3533, 27655, 519, 2474, 267, 2453, 543, 1454, 811, 16081, 1260, 2306, 269, 589, 3009, 540, 7881, 568, 513, 3391, 540, 3741, 2966, 547, 948, 4648, 2932, 1870, 25473, 543, 609, 8699, 1644, 2474, 1870, 7881, 269, 6201, 540, 7881, 610, 1915, 476, 272, 2285, 8276, 820, 513, 10516, 585, 2576, 1175, 1317, 267, 476, 273, 3314, 547, 2161, 267, 1775, 2648, 596, 476, 274, 24946, 707, 942, 547, 15321, 476, 275, 6432, 5402, 547, 1866, 476, 276, 3643, 513, 598, 1998, 27853, 610, 8808, 610, 16468, 1753, 476, 277, 4757, 610, 2328, 547, 513, 3659, 270, 7758, 894, 1175, 547, 2161, 32597, 476, 278, 2285, 1973, 476, 279, 12837, 1354, 6998, 2576, 547, 798, 269, 15979, 5288, 26069, 865, 519, 1079, 17205, 616, 5702, 1644, 543, 616, 1419, 20049, 762, 1312, 2802, 545, 543, 7881, 616, 13737, 1913, 538, 891, 1806, 269, 769, 513, 1114, 855, 1644, 1259, 519, 2474, 552, 573, 657, 543, 2856, 12873, 741, 3312, 2495, 540, 2048, 19972, 685, 610, 2048, 27729, 685, 883, 519, 7881, 267, 6214, 269, 3794, 27443, 540, 4791, 4693, 2474, 519, 4332, 540, 2413, 1382, 7881, 3459, 609, 513, 7287, 547, 2149, 1480, 5396, 563, 16665, 4930, 476, 272, 1496, 17641, 960, 2802, 545, 316, 513, 1434, 960, 2802, 545, 568, 849, 8380, 3054, 11735, 547, 960, 4724, 519, 3152, 1434, 540, 519, 547, 6536, 1434, 960, 7881, 269, 769, 2259, 267, 1031, 30430, 609, 3009, 540, 7881, 3009, 540, 7881, 513, 3561, 602, 27711, 10721, 2418, 267, 513, 7029, 547, 4441, 267, 543, 513, 1305, 540, 16431, 269, 6481, 7881, 568, 3843, 547, 798, 519, 1318, 3364, 1247, 8236, 519, 1655, 2009, 6364, 585, 1169, 3461, 3741, 543, 6436, 538, 2564, 7881, 4019, 547, 1175, 827, 1169, 1966, 610, 3510, 519, 4277, 851, 540, 7881, 568, 519, 4901, 269, 15979, 519, 2361, 540, 7881, 543, 519, 2495, 540, 5683, 2474, 2933, 29708, 7881, 3217, 593, 513, 811, 5702, 1644, 547, 5626, 24178, 1143, 568, 513, 2070, 269, 15979, 568, 711, 4984, 1082, 1004, 616, 711, 3909, 267, 855, 7881, 10039, 547, 3025, 1034, 10764, 798, 12167, 1164, 5683, 4441, 855, 3006, 798, 711, 2232, 782, 519, 2010, 540, 2042, 649, 3068, 7881, 568, 711, 1739, 519, 1876, 513, 1434, 1062, 540, 1876, 1281, 6451, 1082, 5683, 4441, 267, 855, 1876, 666, 1821, 5573, 689, 1018, 568, 5683, 563, 296, 331, 29729, 11815, 2305, 281, 621, 568, 3989, 607, 2921, 11815, 2305, 824, 982, 3656, 1121, 684, 3130, 538, 2463, 540, 606, 4013, 957, 11815, 2305, 568, 711, 3908, 547, 890, 322, 684, 10706, 11815, 5874, 610, 547, 11815, 5874, 3934, 762, 538, 2724, 621, 849, 2882, 12797, 532, 610, 771, 325, 822, 28666, 835, 1268, 936, 519, 824, 608, 281, 519, 269, 4741, 585, 7881, 6280, 540, 7329, 22840, 29395, 540, 2474, 4749, 1031, 693, 519, 4099, 585, 7881, 666, 581, 6045, 1152, 538, 2474, 540, 2339, 269, 5295, 519, 28445, 476, 3422, 280, 7881, 519, 28445, 630, 17739, 539, 27095, 5324, 476, 1015, 267, 476, 1001, 279, 264, 3771, 10542, 281, 1379, 519, 28445, 476, 3422, 280, 267, 7881, 519, 28445, 269, 634, 18211, 582, 27318, 7881, 281, 513, 1353, 540, 519, 2078, 1063, 519, 552, 644, 655, 1014, 543, 12137, 558, 5995, 534, 7881, 540, 18211, 13444, 3404, 5112, 281, 804, 732, 526, 517, 2046, 267, 476, 3192, 279, 18211, 13444, 781, 3069, 540, 563, 9359, 4974, 1870, 7881, 1883, 1913, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 634, 1533, 7881, 10243, 568, 606, 4830, 1533, 8116, 602, 14721, 8651, 543, 16404, 806, 519, 14074, 540, 519, 4655, 540, 1719, 1876, 543, 2883, 3406, 2474, 269, 2334, 781, 519, 1360, 4214, 540, 513, 4617, 960, 2802, 545, 1644, 281, 568, 519, 10206, 540, 513, 1412, 16591, 960, 2802, 545, 262, 5108, 958, 1256, 607, 596, 4001, 1004, 998, 707, 1913, 563, 21857, 2893, 543, 957, 15178, 1913, 538, 13410, 948, 1775, 993, 2324, 547, 1020, 930, 6863, 5751, 1644, 547, 519, 1883, 1913, 6537, 1250, 22106, 5879, 1260, 729, 519, 563, 14240, 540, 7881, 538, 519, 8301, 1263, 1501, 3073, 8675, 2495, 540, 7881, 1018, 1281, 7881, 1611, 1697, 6165, 543, 12332, 630, 514, 13093, 2045, 16606, 264, 540, 519, 2262, 7881, 269, 19078, 6436, 543, 741, 946, 538, 7881, 2069, 607, 3254, 4505, 267, 835, 5363, 1259, 585, 3056, 606, 5683, 2013, 1353, 4901, 568, 547, 2285, 1053, 513, 3391, 267, 971, 607, 519, 269, 6599, 545, 4214, 568, 2443, 519, 9015, 7231, 609, 1018, 568, 1434, 543, 3983, 543, 609, 5837, 10279, 543, 17185, 875, 547, 946, 2802, 545, 538, 513, 4845, 7881, 1644, 547, 2802, 545, 269, 13192, 540, 1913, 610, 16776, 1644, 547, 7881, 543, 5837, 17552, 6531, 540, 1913, 610, 16776, 1644, 547, 8699, 543, 5683, 17552, 3239, 540, 6531, 540, 1913, 610, 16776, 1644, 547, 4259, 3853, 543, 269, 0, 9558, 5296, 540, 1018, 2306, 513, 1434, 4622, 2687, 547, 12335, 513, 1434, 4622, 1590, 849, 4159, 1480, 7907, 538, 1931, 547, 2170, 609, 922, 5396, 269, 19863, 3780, 267, 13842, 995, 5636, 664, 610, 1434, 4622, 649, 666, 1294, 519, 13007, 602, 804, 7596, 3780, 3771, 321, 2293, 602, 1131, 1118, 1864, 513, 1434, 7123, 4622, 607, 543, 513, 1377, 18296, 3594, 269, 19863, 3780, 568, 513, 1434, 4622, 267, 855, 513, 3983, 1268, 3594, 2429, 18296, 676, 13275, 12335, 267, 519, 1915, 540, 519, 1459, 4622, 267, 804, 7596, 3780, 267, 31136, 543, 269, 634, 10997, 1996, 4622, 804, 7596, 3780, 689, 519, 4622, 538, 18296, 676, 875, 731, 544, 636, 5112, 795, 2158, 18296, 781, 17418, 547, 1118, 856, 513, 1434, 2013, 585, 519, 13862, 568, 1586, 519, 1267, 269, 1548, 2306, 513, 1434, 4622, 2985, 476, 272, 18296, 1557, 18296, 20984, 538, 2921, 3527, 585, 1010, 4651, 543, 7683, 14659, 827, 519, 21987, 540, 1346, 3527, 563, 5649, 18296, 281, 804, 7596, 3780, 267, 5636, 664, 610, 1434, 4622, 689, 519, 1650, 7005, 3594, 676, 13520, 612, 904, 630, 28136, 264, 609, 476, 275, 2764, 14509, 2110, 32143, 267, 2123, 267, 1153, 22243, 269, 8550, 19533, 513, 30067, 4618, 1557, 18560, 3082, 1161, 4761, 1062, 12031, 1603, 875, 547, 10839, 538, 1382, 1957, 4967, 2110, 1557, 593, 4683, 1272, 25920, 24692, 1686, 269, 17283, 1131, 723, 1500, 513, 1360, 1434, 4622, 646, 781, 1360, 5100, 543, 513, 2603, 540, 1004, 3100, 547, 2972, 1010, 2754, 621, 4667, 899, 646, 1131, 1118, 7787, 3664, 593, 1018, 1131, 563, 30655, 894, 1557, 568, 4622, 804, 7596, 3780, 513, 1434, 4622, 610, 513, 3983, 4622, 804, 7596, 3780, 3576, 519, 4316, 547, 1118, 18296, 1413, 3983, 8164, 646, 1223, 269, 5822, 17203, 1557, 16324, 30675, 1876, 4116, 1557, 2749, 543, 24781, 1557, 827, 8885, 1018, 616, 519, 5301, 540, 606, 2278, 538, 1603, 606, 1557, 563, 7476, 606, 2626, 585, 1412, 529, 18296, 513, 1434, 4622, 17854, 331, 8504, 585, 1434, 4267, 262, 543, 1265, 6780, 948, 585, 824, 18296, 2055, 693, 679, 4925, 269, 10749, 689, 1433, 4048, 338, 1683, 1390, 2093, 585, 18296, 3594, 543, 1957, 3584, 899, 1557, 2070, 713, 2875, 1557, 827, 18296, 1131, 18296, 1118, 513, 1434, 4622, 269, 17283, 6249, 1557, 18296, 2306, 513, 24983, 602, 519, 4622, 568, 968, 325, 2431, 2989, 676, 7301, 3595, 892, 950, 891, 3344, 540, 513, 1434, 2486, 616, 18348, 539, 563, 295, 600, 2280, 1131, 711, 581, 513, 1434, 4622, 540, 1576, 646, 814, 930, 1434, 7907, 543, 10305, 540, 513, 4622, 2705, 267, 646, 814, 930, 1360, 20025, 5615, 269, 9956, 3594, 2165, 4574, 630, 17549, 476, 275, 4200, 264, 593, 1131, 4731, 24444, 581, 513, 1434, 4622, 281, 538, 12335, 781, 16664, 267, 1079, 15438, 616, 7166, 1317, 789, 616, 711, 1434, 15438, 972, 616, 269, 0, 278, 628, 3446, 1603, 11925, 10855, 1557, 3210, 547, 3332, 281, 2014, 7146, 13716, 1557, 1107, 1603, 13186, 1770, 476, 276, 269, 5675, 827, 2542, 1770, 281, 5339, 1557, 476, 275, 628, 3446, 2985, 476, 276, 540, 476, 279, 2063, 8242, 281, 476, 277, 270, 1001, 273, 630, 18091, 264, 875, 798, 5830, 946, 519, 1603, 1184, 547, 4739, 513, 5339, 1557, 269, 476, 276, 628, 3446, 1603, 1770, 281, 5339, 3594, 8242, 281, 476, 278, 270, 272, 270, 1321, 1770, 3853, 281, 476, 272, 5830, 786, 2697, 543, 946, 519, 4162, 540, 5339, 3594, 476, 273, 269, 19019, 531, 1770, 5439, 910, 2542, 267, 1603, 267, 543, 14379, 3070, 1557, 476, 280, 628, 3446, 1770, 1770, 267, 1053, 786, 2263, 3332, 602, 9607, 269, 6103, 281, 476, 274, 6113, 5551, 2164, 585, 519, 1770, 3853, 630, 6343, 616, 938, 4143, 3853, 585, 713, 1770, 264, 1053, 786, 1174, 602, 513, 12563, 339, 1446, 568, 2854, 585, 513, 3483, 547, 269, 4855, 2298, 4245, 267, 3992, 680, 753, 267, 543, 824, 2200, 585, 11359, 3446, 5339, 9880, 630, 8586, 264, 543, 1454, 811, 563, 16215, 281, 9041, 25791, 2152, 270, 1504, 15731, 630, 15105, 264, 3446, 281, 1693, 274, 6113, 27702, 5551, 2164, 585, 519, 1770, 3853, 630, 6343, 616, 938, 4143, 3853, 585, 713, 1770, 269, 5131, 267, 7792, 1714, 320, 1455, 4295, 4441, 3211, 585, 476, 276, 628, 3446, 3332, 1983, 946, 2238, 538, 1362, 610, 1753, 4945, 547, 1451, 811, 269, 31351, 476, 276, 628, 3446, 4116, 2828, 267, 765, 342, 713, 1770, 568, 25888, 14095, 609, 3388, 741, 2963, 543, 2079, 1247, 8600, 585, 606, 1557, 610, 4974, 1022, 5339, 269, 901, 3561, 568, 519, 3959, 540, 519, 544, 747, 10247, 7681, 540, 13591, 1153, 16984, 630, 2742, 13453, 264, 2985, 476, 272, 5339, 1557, 1603, 1770, 476, 279, 628, 3446, 563, 9596, 875, 547, 2328, 513, 5339, 2079, 609, 713, 2328, 606, 4612, 633, 1557, 610, 875, 547, 2328, 513, 5339, 543, 4126, 519, 4116, 3085, 1405, 3446, 621, 1360, 269, 4982, 760, 19875, 585, 4245, 1299, 4559, 281, 1714, 320, 15828, 3438, 2329, 630, 326, 10232, 476, 274, 268, 276, 264, 543, 1714, 320, 630, 326, 10232, 476, 277, 268, 1321, 264, 3446, 281, 7924, 3992, 270, 22780, 2140, 269, 2296, 1893, 6575, 15828, 3438, 2329, 2259, 2259, 4255, 585, 1142, 3446, 1377, 540, 519, 4879, 616, 2139, 2630, 585, 596, 2780, 2861, 2259, 1449, 1770, 476, 272, 563, 10666, 519, 1770, 713, 1770, 2337, 11359, 17603, 2743, 6607, 30041, 6788, 585, 1603, 5339, 3594, 2818, 540, 519, 1362, 2253, 676, 1603, 606, 1557, 827, 269, 19536, 13186, 1770, 540, 1353, 5830, 13186, 1770, 540, 1353, 476, 277, 628, 3446, 1107, 5339, 1557, 1018, 568, 513, 5339, 1557, 1770, 538, 513, 5339, 1557, 1770, 269, 476, 276, 628, 3446, 1770, 2947, 2919, 676, 519, 10026, 1603, 6437, 2319, 281, 1053, 616, 4397, 547, 15476, 513, 476, 276, 5037, 1557, 269, 0, 763, 1747, 547, 1376, 2679, 707, 4282, 1382, 1544, 568, 609, 519, 2243, 585, 707, 2257, 4023, 1788, 630, 5408, 267, 649, 1705, 602, 1101, 585, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7170, 281, 589, 5080, 21215, 18827, 547, 519, 9576, 7412, 540, 11773, 542, 692, 288, 1906, 3275, 1394, 267, 594, 16686, 2390, 513, 6643, 593, 835, 540, 1250, 5172, 15473, 827, 519, 3703, 10424, 1920, 269, 2290, 3593, 4280, 267, 834, 1432, 568, 519, 19588, 1899, 1310, 519, 13584, 540, 12986, 267, 543, 875, 1281, 713, 1860, 1010, 1909, 543, 9021, 8119, 901, 17275, 3833, 519, 4901, 267, 543, 1082, 3755, 3838, 741, 4555, 543, 1702, 827, 519, 1888, 780, 2026, 649, 782, 917, 267, 519, 1699, 1899, 540, 19588, 2882, 13584, 5261, 267, 16099, 540, 11062, 630, 1492, 13584, 540, 12986, 262, 7800, 652, 5067, 1070, 4553, 676, 1010, 6264, 18244, 267, 13584, 6723, 543, 25905, 23770, 269, 2755, 2469, 998, 891, 3877, 267, 1776, 3593, 16403, 539, 538, 609, 9670, 3377, 1107, 972, 729, 513, 1007, 1840, 547, 519, 10424, 1920, 256, 2098, 4673, 570, 785, 718, 267, 8250, 540, 25905, 14732, 543, 519, 10348, 781, 2034, 9510, 6264, 18876, 267, 1185, 2016, 4332, 547, 1200, 3791, 1126, 267, 513, 4816, 7911, 3957, 12359, 553, 17722, 570, 785, 718, 269, 8528, 4407, 12359, 553, 3884, 1405, 538, 1463, 1899, 547, 519, 17599, 267, 2094, 646, 12851, 547, 519, 1975, 27247, 5336, 1497, 2023, 2427, 540, 519, 1920, 267, 519, 10761, 1472, 1010, 12625, 4547, 721, 6251, 1927, 607, 513, 2146, 269, 1284, 14952, 539, 693, 875, 1272, 666, 9983, 1256, 1346, 4171, 2729, 616, 865, 23939, 9709, 856, 899, 2818, 540, 519, 10424, 1920, 269, 898, 849, 3366, 803, 547, 2992, 593, 519, 1249, 602, 5103, 1373, 2484, 689, 519, 17599, 267, 2370, 12359, 553, 1131, 1869, 3180, 606, 1271, 1747, 1369, 519, 6905, 6489, 7717, 28334, 780, 7883, 532, 1394, 547, 938, 3312, 2243, 267, 1247, 519, 4332, 540, 12359, 553, 4769, 1405, 1689, 519, 7525, 1899, 540, 19588, 610, 1764, 519, 13584, 540, 12986, 262, 3232, 2238, 267, 621, 1705, 7618, 3025, 3238, 538, 519, 4901, 1175, 875, 2629, 1010, 1909, 568, 910, 4180, 6617, 543, 8600, 519, 7820, 5481, 585, 741, 20304, 269, 2991, 782, 267, 4352, 621, 1522, 1491, 1896, 5756, 1354, 2576, 899, 13584, 6723, 10841, 1742, 519, 17599, 267, 2348, 4810, 3237, 543, 22594, 8149, 547, 3450, 873, 10279, 267, 8296, 267, 543, 6043, 1223, 1118, 782, 519, 3017, 950, 789, 6368, 8263, 1379, 780, 1103, 9759, 267, 1018, 3323, 1055, 607, 513, 2241, 13214, 3823, 519, 1931, 540, 519, 3703, 13862, 7960, 883, 1945, 811, 7096, 269, 3414, 7234, 519, 6286, 540, 10424, 1967, 687, 543, 22205, 1007, 23937, 547, 519, 1920, 3529, 267, 649, 941, 18056, 540, 519, 2956, 540, 2178, 5718, 267, 7041, 267, 543, 8508, 26208, 1272, 25001, 693, 721, 2059, 519, 1259, 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, 18658, 568, 519, 19588, 1899, 1310, 519, 13584, 540, 12986, 267, 543, 875, 1281, 713, 1860, 1010, 1909, 543, 9021, 888, 763, 19588, 1899, 1310, 519, 13584, 540, 12986, 568, 4867, 1010, 7800, 652, 5067, 267, 13584, 5261, 267, 16099, 540, 11062, 267, 4553, 676, 1010, 1178, 2738, 517, 267, 13584, 6723, 267, 543, 1287, 1010, 6264, 323, 5922, 267, 25905, 23770, 780, 1607, 19588, 1899, 1281, 711, 1860, 519, 13584, 540, 12986, 262, 1909, 543, 9021, 2047, 267, 607, 1010, 2238, 543, 11645, 2611, 7361, 519, 1482, 269, 1717, 267, 621, 1281, 2285, 1864, 513, 2631, 540, 6617, 543, 15364, 607, 646, 6487, 945, 786, 2693, 8011, 1864, 607, 519, 1985, 16313, 269, 3958, 267, 621, 949, 3310, 930, 540, 1010, 3664, 543, 3527, 607, 646, 22316, 519, 1985, 5108, 540, 887, 344, 1023, 585, 741, 2104, 5107, 269, 634, 13584, 540, 12986, 814, 2907, 3144, 606, 3742, 1909, 538, 29013, 543, 5885, 1010, 1453, 543, 6264, 18244, 607, 789, 6330, 741, 10424, 11645, 267, 543, 713, 568, 2693, 547, 3136, 607, 789, 1847, 909, 538, 519, 19588, 1899, 14325, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 2370, 21956, 541, 3957, 30985, 2961, 5055, 269, 2701, 5030, 538, 513, 4190, 4677, 4904, 609, 5810, 267, 4054, 267, 543, 12961, 540, 782, 5546, 543, 7306, 269, 2961, 5055, 6068, 3695, 519, 4677, 543, 1565, 1007, 1919, 1169, 1554, 269, 1809, 1352, 1185, 513, 5326, 910, 1352, 4941, 547, 8038, 256, 2353, 519, 5017, 543, 17984, 1472, 1200, 1223, 865, 541, 1164, 538, 519, 6607, 267, 1247, 4057, 2961, 5055, 7948, 1405, 1256, 12740, 9887, 1055, 519, 2666, 780, 3080, 1554, 267, 607, 1352, 17875, 1194, 998, 513, 15429, 540, 546, 9820, 625, 267, 1352, 1558, 8797, 2025, 6004, 269, 654, 768, 2421, 269, 1261, 4280, 267, 834, 3963, 798, 596, 1413, 865, 8909, 267, 1762, 14799, 12482, 10111, 5055, 521, 19042, 543, 14452, 267, 834, 296, 1616, 547, 8038, 899, 519, 824, 7068, 538, 938, 4677, 267, 855, 594, 1810, 1405, 917, 875, 3010, 16031, 269, 654, 768, 2421, 20493, 24963, 543, 1767, 267, 834, 11039, 267, 10760, 3217, 2182, 960, 543, 11428, 269, 1411, 991, 2178, 12209, 543, 2027, 1702, 1572, 1412, 320, 518, 19392, 9538, 4208, 1810, 1405, 596, 979, 547, 1153, 543, 1451, 286, 2334, 1259, 267, 835, 1554, 267, 6148, 596, 666, 3035, 707, 9909, 15323, 30948, 568, 513, 1153, 8119, 2961, 5055, 4280, 8049, 569, 780, 24679, 781, 513, 1747, 1141, 596, 2743, 2828, 945, 948, 1142, 824, 1332, 2437, 6045, 6004, 269, 654, 768, 2421, 269, 834, 29310, 267, 596, 1451, 1082, 1271, 4245, 827, 1272, 543, 1831, 1732, 8747, 540, 3054, 269, 6056, 540, 621, 607, 513, 2462, 8768, 1494, 1141, 3025, 4991, 16138, 1639, 676, 1702, 543, 7326, 3010, 4415, 17105, 8990, 267, 2961, 5055, 1305, 856, 547, 1265, 713, 9589, 1747, 1572, 1412, 25217, 8339, 17652, 2614, 267, 1352, 1336, 15248, 30132, 9142, 31314, 1851, 519, 24712, 269, 1703, 941, 1896, 5049, 2139, 971, 607, 4469, 13616, 1108, 267, 30733, 5071, 267, 22947, 18963, 267, 543, 589, 3266, 8212, 269, 3962, 1362, 5280, 1200, 1174, 1018, 1352, 2877, 547, 1451, 547, 1628, 2178, 12209, 543, 6368, 1491, 8184, 780, 2026, 2395, 4682, 676, 267, 2961, 5055, 4121, 811, 982, 1175, 1166, 32211, 2553, 282, 1352, 6591, 1898, 1983, 899, 18094, 267, 9639, 267, 543, 5698, 269, 1879, 5185, 609, 2352, 2035, 267, 1352, 1131, 2307, 1200, 3610, 543, 8284, 1053, 585, 5583, 269, 1358, 4951, 1200, 2081, 547, 2736, 1524, 1950, 2093, 543, 2259, 2394, 1352, 27058, 873, 269, 1635, 2324, 1927, 267, 789, 4362, 3860, 3435, 547, 2042, 543, 9415, 835, 1776, 547, 1832, 3843, 780, 1103, 1100, 942, 267, 2961, 5055, 8068, 1945, 6909, 8345, 1107, 1352, 3323, 3395, 8273, 543, 6793, 256, 4173, 1560, 4957, 267, 543, 7444, 855, 15983, 267, 1079, 6263, 13617, 19512, 7902, 3297, 1200, 269, 2060, 3586, 2259, 543, 15131, 267, 1346, 29134, 2370, 19512, 9927, 883, 15999, 267, 7524, 12209, 780, 7661, 267, 1310, 3275, 540, 11826, 2866, 543, 1582, 22523, 267, 2961, 5055, 11542, 1354, 1200, 9905, 267, 4712, 547, 1449, 1200, 5759, 269, 1306, 4166, 607, 1352, 3262, 1200, 12209, 2647, 1930, 267, 519, 2842, 9900, 24850, 1200, 20733, 269, 1677, 1200, 22035, 7321, 267, 1352, 3459, 547, 29964, 30780, 936, 519, 15624, 269, 1280, 519, 1101, 942, 2479, 267, 2961, 5055, 5433, 1863, 267, 23518, 267, 543, 3811, 2439, 5804, 1287, 593, 267, 8164, 2576, 4280, 30985, 2961, 5055, 875, 1352, 7307, 547, 8038, 5103, 1373, 513, 21956, 541, 267, 1352, 23217, 15527, 267, 834, 3528, 18468, 538, 8885, 267, 4478, 8885, 609, 11215, 2828, 267, 543, 10115, 1250, 3646, 538, 2069, 267, 594, 12260, 539, 519, 5728, 540, 1967, 1369, 803, 3010, 4517, 3314, 267, 15210, 5467, 267, 1175, 899, 2961, 5055, 267, 952, 596, 1932, 3494, 538, 3054, 267, 3295, 3054, 609, 1434, 1004, 267, 543, 1902, 4674, 538, 1565, 1007, 1919, 267, 596, 666, 9585, 4376, 596, 1305, 707, 2247, 547, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4462, 24286, 11773, 281, 634, 5295, 540, 513, 2160, 23422, 454, 763, 10025, 543, 11588, 540, 513, 2160, 23422, 454, 288, 6280, 4110, 6585, 10373, 1871, 538, 2221, 779, 8013, 543, 6385, 9687, 1158, 269, 898, 568, 513, 1713, 24182, 602, 711, 1152, 10741, 9885, 547, 1585, 4876, 3255, 855, 849, 2488, 2043, 609, 3407, 1983, 267, 1702, 267, 543, 2123, 2208, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 2640, 540, 13844, 513, 6280, 4110, 543, 1946, 621, 568, 2808, 513, 26656, 5092, 563, 5575, 543, 19466, 267, 513, 6280, 4110, 28382, 2043, 609, 7463, 1702, 538, 741, 6074, 2361, 540, 1353, 269, 6787, 621, 581, 4702, 267, 4915, 267, 1870, 267, 610, 519, 6575, 267, 13197, 513, 4110, 2636, 1053, 547, 5490, 2620, 883, 741, 5396, 540, 1719, 269, 901, 538, 3829, 1620, 711, 1152, 10597, 741, 6791, 855, 849, 22316, 873, 585, 519, 2591, 789, 949, 3068, 538, 741, 2104, 11678, 563, 11101, 267, 15980, 513, 6280, 4110, 2488, 2043, 609, 2565, 3206, 543, 1966, 9010, 1983, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 23852, 29803, 1315, 9608, 12618, 1315, 11773, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 8080, 547, 606, 3078, 3460, 883, 519, 1158, 540, 6128, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 7358, 1807, 7869, 267, 799, 1522, 3280, 7294, 267, 855, 594, 9153, 621, 781, 4241, 543, 4443, 982, 596, 1589, 269, 1284, 786, 1451, 827, 12427, 998, 1483, 3734, 3871, 602, 616, 2653, 547, 1174, 543, 1187, 2439, 4131, 781, 1376, 676, 3206, 827, 1018, 12427, 798, 538, 938, 3232, 2729, 269, 5994, 596, 723, 513, 11442, 1286, 267, 543, 596, 1616, 547, 1847, 621, 689, 835, 2427, 540, 519, 4055, 547, 1776, 269, 1411, 1223, 946, 1114, 2645, 630, 6016, 2209, 264, 547, 3035, 713, 3804, 910, 707, 1688, 267, 513, 6552, 1852, 267, 1256, 513, 10178, 269, 3962, 11346, 1281, 922, 2816, 8335, 267, 1175, 899, 6310, 12427, 960, 593, 2338, 543, 3252, 538, 2189, 2081, 780, 3086, 1577, 781, 4685, 4514, 883, 1620, 891, 2027, 2979, 12427, 1572, 5276, 14759, 269, 1358, 1491, 835, 6152, 543, 1689, 621, 883, 1776, 6152, 1247, 1739, 1079, 1271, 3652, 1384, 272, 269, 18227, 519, 1482, 4287, 950, 14921, 676, 513, 3586, 269, 1280, 1383, 267, 952, 513, 7004, 2306, 513, 11442, 1286, 979, 7466, 607, 3728, 267, 1287, 7311, 519, 1482, 7004, 547, 513, 2034, 1286, 3001, 693, 3368, 3432, 1131, 1267, 538, 1312, 6517, 10707, 693, 519, 1482, 3803, 3432, 563, 273, 269, 24367, 1039, 6638, 282, 2495, 9256, 2789, 10321, 1101, 1354, 5665, 873, 3947, 519, 1482, 6364, 607, 7900, 5094, 4238, 593, 1142, 6152, 14350, 269, 6056, 540, 4730, 609, 1896, 11442, 6517, 8195, 1107, 11319, 782, 540, 873, 1927, 2164, 538, 519, 1482, 2949, 3350, 607, 11319, 873, 14350, 780, 1103, 9759, 267, 5276, 14759, 948, 721, 4766, 875, 1919, 1689, 1247, 8497, 741, 2596, 3601, 269, 901, 1523, 5526, 10876, 1472, 721, 267, 1519, 3381, 3756, 267, 14318, 9413, 267, 543, 17562, 4702, 780, 9202, 909, 267, 649, 3513, 2743, 930, 4583, 12427, 1634, 607, 11186, 543, 7533, 12427, 269, 1452, 16921, 616, 2706, 5363, 538, 11810, 543, 6323, 2094, 789, 1450, 721, 547, 5659, 1585, 2168, 9259, 899, 5163, 267, 5714, 2095, 267, 543, 3167, 4610, 269, 2913, 803, 6338, 873, 1210, 2241, 1893, 780, 265, 27018, 7358, 1807, 630, 323, 7933, 343, 2567, 5994, 2348, 513, 6263, 3172, 4328, 4837, 602, 13071, 596, 24680, 538, 593, 875, 3533, 1945, 2242, 693, 1022, 2016, 4090, 269, 2334, 781, 4010, 1018, 519, 11186, 11346, 1281, 1107, 621, 6645, 596, 519, 2557, 540, 1689, 540, 513, 1599, 7282, 922, 3403, 269, 1924, 267, 952, 649, 4019, 546, 7933, 343, 547, 2990, 267, 649, 1205, 6991, 267, 543, 952, 649, 4019, 621, 1586, 267, 649 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3092, 269, 18738, 513, 1753, 267, 519, 5798, 3335, 24011, 1369, 827, 1079, 547, 1614, 2395, 563, 299, 541, 9366, 281, 1879, 519, 5798, 24011, 267, 519, 16793, 10836, 269, 1452, 6263, 21431, 6438, 7068, 3049, 5097, 2390, 7904, 320, 28797, 538, 519, 1604, 630, 10472, 568, 9247, 12015, 1973, 264, 543, 796, 1002, 3481, 5798, 269, 634, 12586, 9366, 4422, 998, 1614, 5933, 540, 2208, 1354, 621, 30809, 513, 9279, 3019, 543, 13788, 519, 7782, 531, 3942, 269, 634, 12586, 1998, 3942, 3335, 16569, 689, 476, 276, 547, 476, 1428, 2395, 896, 519, 2175, 1336, 1369, 1034, 5321, 269, 1924, 713, 1797, 1346, 16793, 616, 17875, 1782, 31305, 538, 707, 1753, 563, 303, 1575, 320, 281, 10738, 922, 9279, 3019, 267, 519, 7782, 320, 5956, 922, 7004, 883, 606, 2937, 7904, 320, 269, 634, 9279, 9398, 616, 5176, 967, 652, 1192, 1043, 543, 4482, 13897, 543, 11935, 602, 31491, 720, 873, 269, 32167, 2801, 666, 2611, 26862, 538, 519, 1604, 585, 1082, 3275, 269, 9747, 267, 519, 2956, 540, 7738, 8499, 950, 596, 2119, 547, 7759, 707, 1753, 540, 7904, 553, 269, 18307, 553, 538, 519, 7782, 320, 3942, 786, 3622, 711, 10836, 2394, 789, 2631, 519, 14246, 610, 2604, 540, 513, 7404, 3984, 563, 3849, 738, 7904, 320, 281, 634, 9241, 15041, 1120, 539, 7904, 320, 26357, 593, 519, 3984, 543, 5956, 8023, 607, 3533, 607, 2009, 269, 589, 4775, 7904, 320, 786, 2356, 2253, 547, 2482, 5798, 1369, 1079, 2395, 540, 1200, 1101, 1973, 7594, 269, 2701, 1219, 1815, 919, 1973, 689, 1200, 3984, 602, 786, 2887, 1055, 519, 3984, 2059, 609, 519, 5798, 267, 1964, 691, 532, 519, 1272, 4783, 269, 16989, 7904, 553, 3335, 2661, 585, 827, 513, 3018, 610, 1079, 593, 10130, 855, 666, 7639, 1454, 3476, 896, 4998, 267, 5841, 2175, 563, 3086, 602, 596, 917, 519, 1272, 4783, 540, 513, 7904, 320, 267, 596, 666, 1174, 1946, 930, 5243, 1205, 1102, 6479, 609, 7904, 553, 4166, 1310, 3001, 883, 513, 1007, 1753, 610, 9683, 513, 1007, 1747, 602, 814, 1044, 1863, 540, 10130, 585, 513, 1906, 3275, 269, 634, 7782, 2801, 10836, 607, 4166, 607, 789, 2631, 513, 3984, 269, 2290, 2915, 666, 10393, 723, 7366, 540, 7904, 553, 602, 3100, 547, 723, 2097, 856, 540, 24076, 256, 10738, 513, 7008, 540, 2395, 267, 519, 7904, 553, 616, 10063, 1424, 899, 21173, 543, 519, 23588, 666, 3100, 856, 540, 1852, 563, 3963, 798, 7904, 553, 11116, 888, 293, 548, 553, 11116, 538, 1931, 547, 7639, 269, 4208, 3116, 1131, 789, 798, 621, 286, 1358, 616, 711, 3843, 547, 10413, 596, 593, 3483, 269, 18307, 553, 723, 1044, 1634, 547, 4558, 1973, 476, 1428, 2053, 811, 982, 741, 2597, 543, 789, 991, 1973, 1079, 547, 1614, 2053, 829, 1554, 269, 18307, 320, 17486, 593, 3425, 616, 2356, 3361, 676, 7904, 553, 593, 7314, 543, 5243, 267, 543, 616, 2356, 1360, 28349, 543, 3006, 11213, 267, 17729, 607, 1507, 2699, 27894, 609, 513, 2699, 10300, 334, 1472, 519, 11116, 269, 901, 5114, 568, 2965, 3361, 676, 519, 7904, 320, 779, 19975, 269, 18307, 320, 17486, 2097, 538, 13421, 610, 2516, 540, 827, 2185, 543, 666, 1256, 2408, 538, 513, 2786, 1899, 269, 1452, 17486, 616, 1455, 593, 519, 17094, 956, 543, 7953, 267, 1256, 1472, 519, 22765, 267, 818, 5404, 1080, 267, 8731, 810, 267, 543, 538, 519, 26642, 540, 1714, 28647, 543, 19704, 269, 2368, 1004, 616, 811, 6213, 982, 1866, 543, 949, 723, 513, 1981, 540, 3478, 32105, 610, 3384, 513, 16420, 689, 7904, 320, 17486, 267, 543, 930, 666, 1256, 723, 513, 3978, 13027, 5114, 1256, 689, 513, 2582, 11116, 563, 1432, 666, 596, 798, 827, 18307, 553, 538, 8419, 888, 14085, 540, 713, 568, 16990, 543, 267, 538, 1249, 267, 7904, 553, 538, 8419, 543, 11992, 666, 10460, 513, 8594, 547, 596, 543, 707, 6068, 3283, 267, 711, 1175, 519, 24566, 3283, 2336, 2467, 616, 2081, 547, 1521, 707, 10130, 267, 707, 1753, 267, 543, 707, 13452, 609, 936, 519, 4831, 14319, 269, 1411, 666, 946, 2067, 1753, 14319, 543, 581, 2386, 547, 1246, 707, 16943, 779, 5796, 269, 1809, 547, 2965, 7759, 707, 1753, 540, 7904, 553, 596, 1590, 3479, 547, 513, 9425, 818, 706, 748, 1184, 540, 2126, 543, 7738, 267, 4553, 676, 1896, 811, 21448, 540, 2126, 543, 7738, 267, 540, 1312, 707, 1753, 543, 707, 13452, 269, 589, 8499, 19345, 543, 5701, 1753, 666, 581, 22983, 7168, 3533, 676, 513, 7008, 540, 7904, 553, 554, 26677, 513, 11878, 593, 513, 3984, 563, 28646, 649, 666, 948, 563, 2171, 616, 2141, 6126, 547, 2911, 609, 21427, 827, 741, 3681, 585, 8156, 741, 5321, 269, 1703, 616, 513, 3099, 540, 2081, 649, 666, 948, 609, 538, 25571, 543, 13452, 5574, 547, 7759, 596, 540, 7904, 553, 538, 8419, 269, 12315, 721, 513, 1289, 543, 1577, 721, 968, 7749, 892, 547, 621, 256, 0, 26046, 540, 31527, 613, 11043, 4578, 689, 606, 9866, 3569, 4270, 693, 19257, 2928, 8235, 630, 8624, 3518, 639, 267, 11882, 994, 347, 26501, 6155, 525, 5524, 269, 629, 5724, 1475, 21918, 9693, 6864, 28875, 616, 1271, 2959, 540, 6704, 1216, 538, 1082, 4525, 540, 519, 2136, 2276, 267, 1519, 11882, 269, 3371, 267, 594, 21656, 3601, 540, 513, 14680, 6864, 11717, 1210, 1239, 689, 606, 8343, 1134, 602, 729, 8704, 607, 851, 540, 519, 19257, 2928, 8235, 4826, 3163, 4804, 6997, 593, 634, 11882, 3557, 2160, 13464, 538, 19090, 267, 11882, 269, 594, 11753, 17656, 7422, 267, 513, 18325, 18422, 2845, 267, 543, 16004, 23346, 8254, 22089, 547, 2697, 27230, 21272, 543, 25801, 2934, 1369, 519, 14680, 269, 594, 849, 5659, 22376, 326, 1449, 543, 6802, 1449, 2164, 547, 3313, 6864, 11717, 17453, 19428, 269, 594, 1397, 602, 519, 17453, 19428, 568, 13380, 609, 824, 2199, 7403, 543, 1369, 519, 2039, 540, 1082, 14680, 6864, 28875, 689, 824, 4525, 269, 594, 1459, 1614, 3275, 540, 1216, 1377, 267, 2837, 267, 543, 1808, 19428, 1239, 689, 519, 8343, 1134, 547, 2263, 519, 2188, 602, 3310, 1216, 1377, 543, 1216, 2298, 538, 519, 14680, 6864, 11717, 13954, 523, 318, 4785, 2008, 347, 26501, 6155, 525, 5524, 4732, 335, 976, 11208, 1475, 10064, 293, 661, 2752, 476, 11260, 26482, 276, 1475, 523, 318, 4785, 2008, 347, 26501, 4877, 889, 10091, 1475, 763, 11882, 3557, 2160, 1475, 523, 318, 4785, 2008, 347, 26501, 18622, 3175, 18994, 4820, 1993, 338, 7685, 1475, 763, 11882, 3557, 2160, 269, 3427, 540, 3047, 7070, 18947, 634, 4513, 282, 476, 1001, 280, 1475, 523, 318, 4785, 2008, 347, 26501, 26644, 1475, 26046, 540, 31527, 613, 11043, 4578, 689, 606, 9866, 3569, 4270, 693, 19257, 2928, 8235, 630, 8624, 3518, 639, 267, 11882, 10534, 523, 318, 4785, 2008, 293, 3796, 538, 713, 6221, 454, 2005, 2114, 538, 11310, 7813, 616, 6870, 676, 10677, 267, 609, 782, 2924, 11603, 267, 8259, 6382, 8612, 269, 0, 24456, 6978, 2450, 9775, 676, 811, 982, 1614, 9753, 540, 9588, 267, 689, 513, 1906, 28935, 547, 936, 835, 11281, 269, 1230, 11717, 3762, 267, 2705, 267, 616, 5266, 2110, 543, 519, 5354, 540, 19271, 616, 1100, 3476, 982, 476, 277, 4699, 269, 634, 2601, 585, 519, 2178, 30693, 540, 519, 16023, 1606, 10628, 568, 7164, 269, 1284, 1397, 602, 14836, 3812, 2282, 519, 9133, 540, 1279, 19271, 3112, 581, 29633, 7561, 267, 1317, 519, 2604, 2838, 547, 5397, 15466, 2095, 1131, 9765, 519, 6574, 2139, 2604, 630, 1492, 23015, 5328, 2604, 1040, 901, 2596, 23061, 5012, 547, 519, 5250, 540, 606, 29680, 3148, 540, 24715, 656, 5714, 2282, 519, 13549, 9133, 267, 799, 1281, 711, 3565, 547, 4006, 2095, 269, 3816, 1046, 2406, 267, 649, 1265, 602, 519, 2450, 540, 519, 3742, 851, 1281, 711, 4336, 609, 13549, 3259, 269, 1284, 3589, 513, 2582, 5021, 13549, 2450, 540, 476, 276, 4699, 267, 538, 11063, 609, 1239, 689, 476, 31982, 598, 11717, 2249, 269, 901, 1223, 948, 7787, 1125, 519, 2487, 8343, 602, 598, 28875, 723, 3648, 4130, 3762, 982, 2587, 3930, 704, 916, 267, 543, 1683, 513, 1979, 26491, 7778, 585, 713, 10578, 3017, 1063, 519, 1079, 4102, 2516, 540, 2371, 269, 0, 1103, 15230, 5521, 10860, 666, 3648, 11145, 5065, 5521, 2950, 543, 2014, 9645, 3441, 547, 6683, 543, 7733, 630, 303, 2939, 601, 1696, 620, 1421, 476, 1220, 271, 1040, 7324, 891, 10860, 267, 3043, 13219, 630, 295, 655, 760, 614, 320, 281, 589, 2917, 16967, 13160, 264, 616, 519, 1034, 14124, 5521, 10860, 547, 6694, 7031, 11451, 267, 1519, 3624, 1141, 811, 982, 476, 13970, 271, 2249, 616, 1634, 630, 32354, 267, 631, 604, 338, 644, 1299, 14943, 529, 731, 320, 267, 476, 1220, 271, 282, 18722, 1696, 620, 1421, 476, 1220, 275, 282, 700, 777, 573, 582, 1696, 620, 1421, 476, 1001, 275, 1040, 32087, 538, 891, 2249, 616, 519, 8988, 6122, 2378, 3043, 12187, 630, 289, 28087, 807, 9184, 659, 328, 264, 543, 8511, 3043, 12187, 630, 307, 7434, 324, 1755, 9188, 11517, 926, 28262, 1070, 799, 616, 3622, 2808, 3743, 585, 2101, 2804, 9271, 269, 1717, 267, 645, 269, 9184, 659, 328, 568, 2219, 547, 581, 513, 1950, 540, 10641, 10999, 967, 626, 3907, 27720, 24107, 2249, 267, 5219, 547, 607, 1114, 1979, 8040, 630, 310, 571, 697, 267, 700, 8554, 1299, 674, 7559, 267, 476, 1001, 278, 1040, 1358, 616, 2808, 547, 581, 835, 540, 519, 1034, 1713, 2030, 10860, 543, 3935, 1125, 936, 476, 7785, 3984, 2371, 267, 4929, 1713, 3441, 630, 21691, 8725, 267, 4446, 549, 1299, 15196, 7219, 267, 476, 1001, 275, 1040, 901, 2249, 540, 3043, 12187, 568, 7856, 11451, 630, 5719, 4446, 549, 267, 476, 1960, 276, 282, 1546, 4446, 549, 1696, 620, 1421, 476, 1220, 271, 282, 1546, 4446, 549, 267, 22427, 17507, 1299, 31530, 25632, 747, 267, 476, 1220, 276, 5148, 543, 3123, 1713, 3441, 547, 7693, 6556, 543, 2298, 676, 8023, 593, 2030, 943, 5979, 655, 543, 9658, 1154, 9932, 323, 1168, 602, 22262, 519, 4028, 2208, 540, 28633, 630, 8624, 9109, 1696, 620, 1421, 476, 1220, 277, 282, 30410, 329, 990, 328, 24089, 1696, 620, 1421, 476, 1001, 274, 1040, 1717, 267, 519, 1034, 1713, 1966, 2404, 609, 17061, 540, 645, 269, 9184, 659, 328, 568, 519, 6771, 540, 2030, 8290, 630, 301, 822, 553, 4211, 770, 21034, 267, 674, 658, 5979, 14114, 331, 643, 2946, 1299, 590, 17505, 31712, 4211, 600, 1842, 267, 476, 1001, 272, 1040, 645, 28087, 807, 9184, 659, 328, 814, 1044, 4080, 607, 519, 6152, 585, 519, 6771, 540, 936, 476, 4968, 10194, 2249, 538, 2101, 17215, 1271, 6694, 543, 5388, 7031, 630, 294, 559, 828, 1206, 517, 1696, 620, 1421, 476, 1001, 276, 1040, 6684, 267, 23632, 324, 1755, 9188, 11517, 926, 28262, 267, 4122, 1634, 607, 8511, 3043, 12187, 267, 568, 849, 2808, 606, 1271, 11641, 540, 10448, 543, 6694, 7031, 855, 18993, 1080, 7864, 8290, 982, 1281, 645, 269, 9184, 659, 328, 630, 310, 529, 2401, 1696, 620, 1421, 476, 1960, 279, 282, 13643, 267, 476, 1220, 274, 282, 9466, 267, 476, 1220, 278, 282, 18937, 553, 4211, 770, 21034, 267, 674, 658, 5979, 14114, 331, 643, 2946, 1299, 590, 17505, 31712, 4211, 600, 1842, 267, 476, 1001, 272, 282, 700, 6759, 19649, 1696, 620, 1421, 476, 1001, 273, 1040, 1717, 267, 1317, 540, 922, 2110, 1272, 4783, 267, 713, 2249, 814, 1044, 2808, 513, 811, 11342, 5521, 11641, 538, 8511, 630, 8245, 24325, 1696, 620, 1421, 476, 1220, 273, 1040, 23632, 324, 1755, 9188, 11517, 926, 28262, 666, 849, 3082, 547, 4411, 16374, 1732, 982, 645, 269, 9184, 659, 328, 1281, 543, 568, 1455, 693, 1164, 6173, 725, 630, 21574, 2692, 5633, 1696, 620, 1421, 476, 1001, 280, 1040, 5221, 540, 922, 4187, 547, 5521, 15969, 971, 607, 683, 4577, 582, 27546, 267, 570, 269, 11517, 926, 28262, 814, 4607, 1454, 1382, 3007, 630, 294, 768, 534, 1696, 620, 1421, 476, 1220, 278, 282, 10127, 520, 565, 657, 1696, 620, 1421, 476, 1001, 272, 282, 623, 2096, 1696, 620, 1421, 476, 1001, 280, 1916, 15761, 2400, 946, 540, 13851, 711, 1152, 3123, 2825, 12526, 543, 17645, 4494, 22930, 267, 855, 849, 5932, 3978, 1072, 2042, 538, 11864, 543, 5932, 6757, 2175, 585, 6225, 5521, 2249, 630, 306, 3873, 11535, 1696, 620, 1421, 476, 1960, 278, 282, 962, 334, 5633, 1696, 620, 1421, 476, 1220, 276, 1040, 9747, 267, 547, 2569, 5521, 8336, 946, 267, 6211, 1852, 2409, 971, 607, 946, 540, 2067, 11975, 267, 11259, 8677, 267, 543, 2371, 21555, 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 ]
[ 620, 1948, 7468, 5451, 551, 4815, 1642, 681, 6403, 334, 632, 3288, 1773, 1092, 267, 29447, 269, 12253, 667, 8656, 313, 563, 14630, 1315, 293, 3663, 320, 281, 476, 2537, 6113, 269, 4989, 476, 1708, 271, 270, 476, 2537, 589, 1962, 559, 476, 1708, 271, 563, 11742, 1315, 295, 7702, 281, 4595, 281, 476, 1626, 281, 2004, 570, 650, 281, 476, 1626, 281, 4649, 3108, 630, 26222, 5384, 264, 1315, 2677, 1372, 281, 476, 1626, 281, 2004, 670, 770, 320, 281, 476, 1626, 281, 4649, 3520, 553, 630, 295, 7702, 10871, 1916, 21581, 631, 270, 309, 13244, 22784, 1777, 320, 30059, 570, 1872, 631, 2033, 340, 591, 630, 288, 8461, 5183, 994, 28062, 593, 13334, 269, 7981, 7064, 547, 3627, 4414, 2006, 543, 519, 834, 13563, 23320, 1656, 667, 12177, 15815, 1824, 5948, 8487, 297, 11055, 6807, 18919, 910, 4873, 476, 1708, 271, 476, 275, 298, 454, 21581, 5384, 700, 8985, 281, 15815, 582, 720, 540, 606, 538, 20129, 700, 7582, 2961, 8175, 267, 5800, 540, 15585, 614, 17043, 454, 11742, 700, 8985, 11473, 281, 1323, 538, 20129, 700, 7582, 15298, 21128, 693, 519, 5800, 540, 15585, 614, 17043, 269, 2311, 4262, 267, 538, 519, 16402, 613, 592, 8756, 267, 1079, 17535, 21804, 723, 8678, 519, 6077, 269, 9737, 519, 2736, 31662, 2185, 3771, 13118, 512, 13903, 630, 306, 2466, 4498, 13118, 19331, 720, 264, 1118, 3728, 547, 4217, 1200, 812, 4141, 12320, 516, 269, 769, 519, 2142, 17064, 3570, 531, 8756, 519, 700, 7582, 15298, 568, 11074, 543, 2220, 2426, 1354, 10024, 519, 715, 6359, 331, 6409, 523, 3771, 13118, 269, 2755, 16042, 700, 7582, 32591, 1399, 476, 272, 519, 6928, 781, 4779, 1681, 3515, 616, 3144, 11849, 648, 676, 4779, 1681, 2692, 1846, 630, 298, 517, 1074, 2993, 329, 651, 681, 4141, 4536, 966, 699, 523, 580, 532, 661, 754, 571, 19816, 1916, 303, 559, 582, 7917, 2349, 517, 330, 269, 0, 7312, 25153, 11061, 6092, 3883, 3568, 1114, 6163, 540, 2055, 269, 2353, 540, 519, 2055, 538, 707, 6092, 3883, 616, 4143, 547, 519, 1007, 11061, 6651, 630, 14140, 6514, 476, 1001, 277, 1070, 2705, 519, 1239, 1031, 538, 930, 540, 519, 1665, 14565, 2097, 689, 519, 25153, 781, 11061, 4578, 3883, 2280, 585, 519, 1991, 21038, 630, 1220, 280, 1040, 29368, 11061, 12815, 14430, 10298, 910, 25153, 11061, 12226, 454, 290, 13511, 1107, 29722, 670, 299, 1107, 29722, 20793, 1107, 29722, 314, 19616, 10292, 316, 25592, 11061, 11759, 12226, 454, 29368, 630, 4504, 3485, 775, 13163, 264, 8232, 19608, 11061, 5999, 1299, 12226, 543, 1271, 7998, 2250, 1957, 2055, 676, 1888, 269, 6657, 7726, 4871, 593, 11061, 269, 8281, 25153, 11061, 5999, 543, 12226, 7300, 1547, 6875, 513, 5131, 25153, 8232, 19608, 631, 1442, 1547, 6657, 811, 281, 476, 11740, 266, 1271, 2055, 593, 11061, 269, 8281, 11061, 11872, 7300, 29368, 11061, 268, 10495, 538, 519, 24547, 5448, 5358, 454, 29368, 11061, 18482, 7726, 7813, 282, 25153, 11061, 18482, 7726, 7813, 269, 570, 17344, 548, 12445, 4427, 333, 822, 269, 590, 6224, 476, 275, 308, 310, 269, 3267, 29120, 1279, 2626, 2055, 616, 2147, 547, 1018, 949, 581, 2938, 593, 1957, 476, 273, 543, 476, 274, 25153, 11061, 1401, 4461, 1547, 30667, 281, 476, 1220, 280, 269, 14430, 269, 5149, 476, 272, 269, 5149, 476, 273, 269, 5149, 476, 274, 281, 476, 1001, 271, 269, 14430, 269, 5149, 476, 272, 269, 5149, 476, 273, 269, 5149, 476, 274, 269, 5149, 476, 277, 269, 476, 1001, 272, 269, 14430, 269, 5149, 476, 272, 5861, 13511, 538, 519, 667, 303, 1923, 4139, 645, 3147, 8403, 675, 622, 4429, 25508, 3121, 667, 4768, 520, 269, 25153, 11061, 269, 25153, 11061, 3267, 962, 1321, 17345, 7033, 5202, 630, 30098, 616, 16977, 543, 1641, 547, 1689, 264, 11061, 521, 586, 961, 16086, 476, 1001, 277, 269, 11061, 1239, 27412, 476, 1001, 277, 3371, 596, 786, 1265, 519, 14245, 594, 1397, 538, 1362, 7132, 6402, 547, 4277, 1357, 3817, 267, 5751, 543, 22475, 547, 798, 269, 16498, 17553, 14727, 13511, 11759, 15099, 454, 290, 13511, 3391, 15618, 5988, 476, 1001, 275, 15618, 593, 15773, 540, 519, 4139, 645, 3147, 8403, 675, 622, 9257, 267, 513, 711, 16519, 17416, 3872, 5748, 540, 476, 1428, 27953, 964, 5651, 650, 976, 267, 476, 13199, 279, 2274, 9835, 4149, 13154, 10811, 267, 25611, 267, 16848, 676, 519, 4139, 645, 3147, 8403, 675, 622, 9257, 630, 20084, 264, 13456, 8891, 3205, 5600, 267, 631, 953, 1787, 22971, 267, 9315, 858, 19835, 9315, 858, 267, 12986, 18435, 2537, 476, 279, 21923, 763, 7454, 25153, 11061, 5530, 6651, 543, 11872, 585, 20793, 26260, 299, 454, 29368, 670, 299, 3584, 723, 1044, 25649, 883, 20793, 3584, 267, 865, 1888, 476, 273, 543, 476, 1321, 616, 1312, 538, 670, 299, 1888, 476, 273, 14469, 1433, 7410, 715, 289, 20793, 13445, 476, 273, 814, 1044, 9450, 547, 1331, 811, 1543, 602, 729, 5892, 8947, 1152, 538, 670, 299, 267, 3606, 14469, 1433, 7410, 723, 1044, 3769, 2630, 547, 2285, 596, 2259, 609, 891, 670, 299, 2055, 602, 616, 1631, 851, 540, 20793, 763, 13159, 25153, 11061, 28924, 16086, 281, 20793, 543, 670, 299, 454, 288, 5299, 540, 519, 25153, 11061, 1239, 27412, 269, 4033, 2835, 543, 2200, 607, 2838, 269, 28924, 16086, 20895, 4841, 19801, 538, 20793, 11061, 786, 1152, 581, 12290, 593, 519, 4295, 630, 8099, 3108, 540, 3069, 6044, 264, 543, 581, 2838, 547, 798, 4295, 4052, 960, 630, 2412, 3108, 1040, 4841, 19801, 538, 670, 299, 11061, 786, 581, 12290, 593, 1312, 4295, 7894, 595, 4047, 300, 8780, 23802, 910, 25153, 7894, 20793, 1299, 670, 299, 595, 4047, 300, 8780, 23802, 454, 638, 5465, 630, 290, 648, 264, 476, 271, 269, 4037, 476, 736, 7433, 476, 273, 10374, 2626, 543, 6905, 3210, 2055, 630, 290, 648, 264, 476, 272, 269, 1839, 476, 2412, 7433, 476, 274, 4578, 268, 543, 4052, 2861, 2055, 267, 7132, 2110, 2626, 543, 6905, 3210, 2055, 593, 519, 4781, 476, 272, 476, 736, 18378, 476, 1015, 476, 736, 10572, 7634, 27148, 543, 2328, 5346, 540, 476, 277, 547, 476, 1321, 3817, 476, 1015, 476, 736, 10001, 269, 12726, 2055, 29368, 11061, 2250, 4574, 4139, 645, 3147, 8403, 675, 622, 4429, 10907, 611, 8598, 12975, 568, 513, 3760, 585, 19174, 547, 2671, 1382, 4574, 11053, 641, 25153, 8249, 910, 11061, 2336, 20238, 1470, 290, 13511, 281, 25153, 6732, 11819, 9049, 297, 290, 1335, 281, 25153, 6732, 11819, 9400, 774, 1941, 2917, 281, 25153, 6732, 11819, 634, 17667, 11061, 570, 12460, 281, 6732, 11819, 14977, 2401, 1546, 310, 8636, 2433, 6732, 11819, 12448, 654, 1263, 281, 25153, 6732, 1862, 290, 13511, 2835, 1299, 4967, 1923, 8281, 585, 1863, 454, 7894, 11061, 7726, 23810, 269, 13445, 476, 272, 670, 299, 7433, 476, 273, 670, 299, 7433, 476, 274, 20793, 7433, 476, 272, 670, 299, 29485, 17057, 324, 7433, 476, 273, 20793, 29485, 17057, 324, 7433, 476, 272, 670, 299, 29485, 17057, 324, 7433, 476, 274, 20793, 29485, 17057, 324, 7433, 476, 273, 3267, 4139, 645, 3147, 8403, 675, 622, 10378, 910, 645, 3147, 531, 4768, 2946, 520, 4139, 10378, 910, 29732, 14525, 6737, 2902, 659, 1308, 10378, 16301, 543, 2175, 3267, 10403, 7300, 11061, 6096, 1677, 8281, 610, 7179, 454, 29682, 589, 281, 4039, 18356, 630, 290, 648, 3584, 264, 589, 269, 272, 1107, 634, 20297, 540, 25536, 281, 589, 269, 273, 1107, 22784, 660, 345, 14759, 281, 589, 269, 274, 1107, 1975, 659, 8135, 12222, 281, 26840, 589, 281, 4039, 18356, 630, 21206, 2362, 1377, 4781, 3584, 264, 589, 269, 275, 1107, 4039, 520, 643, 2065, 11707, 630, 30045, 1152, 264, 589, 269, 276, 1107, 4937, 25536, 630, 30045, 1152, 264, 26840, 645, 281, 7177, 6323, 281, 26840, 645, 281, 7177, 6323, 630, 290, 648, 3584, 264, 30108, 8249, 910, 769, 1320, 9722, 454, 29368, 11061, 12815, 14430, 9509, 11473, 10298, 269, 25873, 476, 280, 3607, 5249, 856, 3435, 540, 2250, 25153, 11061, 11400, 269, 9208, 5426, 269, 11061, 20793, 5437, 476, 1001, 277, 269, 7433, 476, 273, 269, 7433, 476, 274, 269, 7433, 476, 272, 269, 11061, 20793, 2904, 476, 1001, 279, 570, 313, 273, 269, 7433, 476, 272, 269, 7433, 476, 272, 269, 7433, 476, 273, 269, 3267, 2289, 2106, 13960, 729, 811, 3015, 982, 1250, 4116, 543, 6854, 803, 1732, 5423, 711, 1152, 585, 519, 25153, 981, 855, 585, 3267, 17471, 23184, 910, 11062, 2160, 4964, 454, 29368, 11061, 26479, 630, 290, 648, 264, 1452, 616, 1152, 8847, 585, 519, 2474, 799, 616, 2016, 519, 12981, 834, 3698, 710, 257, 610, 834, 23251, 3907, 880, 257, 538, 519, 4879, 6898, 269, 14451, 5426, 269, 3245, 834, 290, 13511, 281, 31603, 13018, 585, 519, 25153, 26885, 257, 676, 15576, 12541, 9466, 543, 19375, 16110, 269, 29898, 269, 623, 6369, 312, 15660, 289, 7726, 23810, 910, 25153, 26671, 454, 1607, 568, 513, 2196, 998, 540, 606, 30312, 17698, 11061, 981, 585, 16275, 292, 269, 7433, 476, 273, 910, 13038, 3903, 630, 2169, 2105, 264, 9105, 803, 2055, 538, 519, 8292, 3296, 543, 594, 786, 798, 1250, 1655, 547, 2626, 2901, 607, 513, 2123, 3267, 7818, 5400, 276, 6812, 274, 278, 6924, 277, 267, 25153, 10334, 11759, 29961, 8672, 1700, 30214, 21788, 4753, 454, 9596, 981, 16481, 7998, 3184, 476, 272, 609, 1863, 7317, 15460, 269, 7994, 689, 476, 4335, 1114, 5036, 540, 981, 16481, 7998, 3184, 476, 272, 15460, 593, 13658, 2280, 11053, 8084, 476, 274, 281, 11270, 30008, 1923, 16481, 2275, 13511, 454, 298, 268, 1321, 11759, 15099, 910, 634, 18096, 3557, 11759, 11621, 2099, 1346, 4441, 540, 1565, 602, 616, 1898, 585, 782, 1053, 269, 1358, 616, 519, 2093, 267, 2035, 267, 543, 1983, 602, 1683, 513, 5748, 593, 799, 7766, 1565, 949, 581, 3710, 5861, 13511, 585, 519, 25153, 24547, 5448, 630, 16149, 7160, 264, 676, 11062, 4429, 303, 770, 14430, 2986, 5851, 14727, 600, 8822, 4139, 1401, 3133, 725, 630, 5746, 292, 8358, 5456, 17698, 14727, 13511, 630, 6187, 273, 271, 8358, 1001, 277, 9947, 1923, 14466, 320, 23173, 8822, 1547, 5851, 11062, 3955, 3267, 30312, 17698, 11061, 630, 6187, 273, 271, 3267, 6034, 1559, 1547, 5851, 1315, 11062, 4139, 1401, 3133, 725, 630, 5746, 292, 264, 1315, 30312, 17698, 1315, 11061, 630, 6187, 273, 271, 264, 1315, 476, 1001, 277, 9947, 10371, 7982, 476, 6187, 273, 271, 5334, 1626, 14682, 339, 15005, 269, 8281, 7348, 476, 6187, 273, 271, 5334, 1626, 318, 597, 318, 7906, 15005, 269, 8281, 7348, 5746, 292, 30312, 17698, 11061, 31280, 11872, 1923, 13445, 5999, 4429, 763, 25153, 667, 303, 11061, 2362, 1377, 630, 30045, 264, 1576, 3568, 22221, 4295, 3584, 630, 291, 4851, 476, 4817, 25980, 264, 543, 4557, 3606, 2362, 1377, 630, 288, 30045, 264, 3584, 630, 291, 4851, 476, 2568, 25980, 264, 543, 606, 18593, 1888, 630, 291, 4851, 476, 1839, 25980, 264, 543, 513, 4052, 10325, 540, 960, 630, 291, 4851, 476, 2568, 25980, 1040, 634, 4879, 2203, 540, 11061, 670, 299, 5161, 540, 1614, 4574, 269, 7433, 476, 272, 568, 606, 5662, 981, 799, 3267, 16485, 606, 16869, 281, 11061, 18378, 10495, 6997, 14313, 630, 28502, 994, 14457, 7662, 281, 21942, 645, 3147, 8403, 675, 622, 14451, 5426, 11061, 19850, 267, 1281, 4896, 723, 519, 3131, 1783, 645, 3147, 8403, 675, 622, 14451, 5426, 11061, 1433, 676, 9697, 12541, 9466, 543, 19375, 16110, 538, 7300, 3898, 286, 634, 835, 594, 723, 538, 1957, 3898, 568, 519, 476, 1220, 280, 7160, 267, 855, 594, 1810, 1405, 917, 952, 972, 781, 513, 1007, 7160, 610, 711, 5861, 600, 8822, 25153, 6314, 476, 1015, 281, 17667, 11061, 5025, 1087, 20156, 4429, 763, 7044, 543, 2200, 693, 1353, 2617, 320, 616, 2731, 13181, 543, 2653, 547, 1174, 1317, 596, 16921, 798, 711, 946, 7294, 3137, 547, 2491, 513, 1523, 543, 602, 568, 1018, 606, 25153, 2875, 1616, 267, 1317, 25153, 13004, 3294, 568, 7294, 2614, 602, 621, 1175, 4422, 936, 938, 2212, 267, 865, 2653, 3137, 284, 1732, 1620, 284, 14451, 2798, 284, 1732, 6015, 16804, 291, 8016, 316, 11759, 9752, 8249, 11061, 12226, 3848, 476, 1691, 454, 2026, 713, 11759, 9752, 8249, 11061, 12226, 8791, 5623, 267, 621, 7475, 8345, 1471, 30844, 835, 540, 519, 23163, 2835, 11759, 9752, 8249, 11061, 12226, 8791, 5623, 10070, 602, 649, 723, 269, 901, 568, 1946, 596, 2611, 538, 519, 1655, 3896, 547, 1413, 519, 6909, 19545, 547, 723, 563, 296, 321, 11061, 11759, 12226, 454, 763, 1034, 2442, 19545, 596, 1590, 1224, 568, 25592, 11061, 11759, 12226, 269, 594, 993, 2386, 596, 786, 2648, 519, 25592 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1413, 10875, 538, 606, 1148, 1232, 334, 2713, 4055, 543, 513, 20259, 610, 29588, 1820, 24821, 9327, 1406, 1413, 856, 540, 1747, 538, 606, 1148, 1232, 334, 23103, 269, 3776, 4015, 2882, 29600, 16493, 543, 2413, 267, 16560, 4773, 538, 9243, 18707, 543, 17285, 18565, 267, 547, 1711, 513, 1397, 16069, 9703, 269, 1703, 568, 513, 1390, 4308, 540, 16726, 1063, 891, 1079, 6163, 267, 543, 930, 2959, 1533, 602, 789, 616, 9838, 269, 24484, 902, 6423, 2353, 269, 3371, 267, 596, 3580, 1265, 2706, 331, 894, 1806, 540, 519, 3350, 267, 689, 5507, 544, 6416, 7161, 547, 519, 2605, 15586, 5244, 24529, 538, 10507, 16303, 267, 519, 1034, 1713, 12440, 540, 5321, 540, 713, 2511, 538, 519, 2197, 269, 3245, 6300, 12379, 3716, 269, 13910, 3525, 518, 928, 661, 5586, 766, 543, 1350, 600, 712, 2699, 18249, 269, 16179, 3312, 1148, 5855, 1863, 609, 938, 476, 278, 1554, 2724, 1394, 10018, 269, 3502, 5059, 1152, 593, 16538, 6189, 267, 3203, 715, 537, 557, 879, 568, 513, 2347, 2511, 602, 2882, 29939, 902, 543, 954, 12542, 269, 1306, 513, 2511, 267, 3203, 1232, 334, 568, 3362, 9862, 547, 9290, 1022, 9703, 865, 602, 23456, 540, 519, 2511, 1869, 2611, 269, 29844, 941, 1279, 267, 1970, 267, 5347, 543, 20928, 267, 609, 17208, 15174, 269, 769, 519, 476, 3422, 271, 338, 267, 2705, 267, 519, 2511, 729, 11222, 4106, 730, 267, 538, 851, 267, 676, 2101, 24218, 6896, 693, 519, 7467, 540, 7073, 3203, 538, 1715, 3840, 630, 4198, 280, 264, 543, 693, 519, 4053, 19902, 2817, 546, 685, 9209, 3525, 518, 928, 630, 3422, 271, 1070, 607, 1134, 607, 676, 513, 1804, 8397, 24794, 8826, 593, 2142, 1841, 2917, 4371, 693, 519, 15117, 1299, 15751, 7467, 538, 5507, 538, 476, 3422, 277, 269, 634, 1739, 616, 7986, 2413, 1148, 6163, 543, 5322, 269, 3203, 715, 537, 557, 879, 3459, 547, 2887, 856, 540, 6752, 1282, 13431, 296, 607, 1082, 13915, 5433, 519, 14969, 1469, 267, 10347, 6272, 267, 1419, 7199, 2326, 543, 2504, 2409, 540, 519, 2511, 941, 2192, 25252, 1243, 547, 513, 4101, 267, 796, 3553, 339, 1194, 267, 543, 5051, 811, 2964, 1242, 2413, 1158, 269, 13910, 20963, 3203, 5800, 571, 8132, 17593, 11657, 776, 10417, 783, 8058, 2859, 269, 634, 2413, 2511, 568, 519, 1374, 543, 7718, 540, 519, 2413, 1143, 3350, 267, 799, 3459, 538, 519, 1360, 3735, 476, 5197, 271, 338, 269, 4706, 2012, 729, 6508, 689, 519, 1401, 6570, 4139, 324, 964, 8551, 667, 2946, 14585, 520, 604, 338, 1696, 7144, 686, 1564, 7073, 525, 267, 4371, 538, 8303, 538, 476, 4572, 276, 267, 1141, 519, 2511, 729, 1101, 17820, 269, 20309, 1143, 630, 22022, 14206, 2540, 2567, 20309, 626, 26620, 3238, 3810, 7920, 7990, 543, 1875, 5991, 1823, 2065, 11453, 1740, 267, 1419, 1759, 593, 519, 7376, 779, 6418, 4606, 269, 589, 2511, 3323, 538, 8303, 602, 1131, 5555, 3262, 5180, 519, 1158, 910, 4466, 922, 1259, 883, 519, 1374, 540, 1715, 3840, 781, 932, 24075, 2401, 543, 7276, 3557, 5656, 607, 1134, 607, 5507, 26789, 781, 10473, 543, 19297, 269, 11569, 267, 519, 1148, 1232, 334, 2511, 568, 13085, 569, 9676, 538, 519, 2951, 19297, 540, 519, 942, 799, 6655, 519, 2038, 10761, 540, 2951, 676, 7841, 267, 5179, 8364, 543, 10935, 269, 634, 1148, 540, 2250, 787, 6194, 2729, 593, 538, 1082, 3864, 2477, 267, 543, 519, 8737, 2472, 616, 607, 11617, 24886, 543, 12608, 1944, 607, 1346, 602, 30590, 575, 712, 332, 1115, 513, 2540, 3516, 269, 23839, 13813, 4826, 10233, 3600, 23359, 5794, 20815, 7913, 8058, 2859, 269, 634, 15851, 7718, 2511, 5170, 547, 1764, 875, 649, 30164, 938, 5624, 267, 2436, 649, 1616, 547, 2981, 513, 4055, 883, 606, 9703, 689, 634, 4279, 30056, 610, 649, 1175, 1616, 547, 1039, 513, 2370, 811, 1350, 600, 1934, 543, 972, 269, 2048, 9556, 518, 928, 685, 2511, 2919, 538, 6252, 547, 1148, 1232, 334, 910, 543, 568, 1419, 4330, 607, 606, 1148, 1232, 334, 2511, 910, 855, 6508, 922, 6667, 711, 689, 519, 6575, 267, 855, 689, 5736, 779, 7835, 538, 2257, 543, 2029, 269, 9478, 631, 269, 20727, 1168, 24989, 267, 12789, 269, 4236, 823, 14114, 5336, 520, 5104, 545, 518, 1309, 269, 13910, 20963, 3203, 17593, 7073, 9335, 3203, 7377, 3203, 8058, 2859, 269, 13595, 5800, 11681, 23721, 12846, 5020, 7186, 16047, 8058, 2859, 269, 3245, 8988, 2264, 547, 3774, 17549, 267, 5159, 941, 6131, 547, 2870, 513, 2347, 267, 15138, 1995, 269, 3203, 1232, 334, 538, 519, 2038, 2053, 2443, 3203, 1232, 334, 538, 519, 3355, 1296, 729, 3833, 606, 7199, 6221, 547, 581, 4421, 269, 3203, 3525, 518, 928, 1323, 11265, 2511, 1336, 21246, 958, 538, 8075, 9112, 538, 519, 476, 4350, 271, 338, 267, 1739, 519, 4505, 3203, 1546, 1723, 2511, 269, 13595, 5800, 11681, 23721, 12846, 5020, 7186, 16047, 8058, 2859, 269, 901, 3350, 568, 1114, 689, 519, 5386, 6575, 630, 335, 31021, 543, 17001, 264, 1141, 519, 1148, 1843, 814, 1100, 4052, 3483, 610, 946, 3564, 3246, 4277, 13156, 269, 3203, 1546, 1723, 729, 513, 2511, 540, 15022, 3512, 566, 1210, 1970, 3146, 331, 3971, 18935, 1242, 12449, 543, 4294, 18305, 8151, 689, 32550, 1023, 547, 12166, 338, 543, 28263, 519, 3203, 3525, 518, 928, 2511, 269, 769, 5333, 267, 3203, 715, 537, 557, 879, 729, 849, 3006, 1572, 676, 519, 3703, 2165, 834, 17457, 13910, 257, 1813, 547, 922, 5072, 538, 519, 8551, 543, 27207, 3350, 2073, 13910, 15645, 928, 267, 610, 13910, 476, 5002, 271, 269, 13595, 23721, 5800, 11681, 7186, 12846, 5020, 715, 8775, 8058, 2859, 269, 1762, 7008, 267, 18560, 543, 8004, 1796, 1413, 693, 5961, 538, 7750, 1143, 2511, 269, 3203, 3525, 518, 928, 4300, 4705, 547, 519, 1857, 998, 922, 946, 540, 2413, 4070, 2553, 543, 2326, 269, 15043, 936, 519, 1576, 540, 10199, 476, 1911, 1296, 267, 621, 16621, 1082, 2101, 1148, 5322, 543, 814, 23366, 2938, 606, 3235, 937, 545, 2039, 540, 6163, 907, 634, 7073, 2511, 267, 543, 2663, 3203, 1546, 1723, 267, 1185, 513, 1880, 3310, 593, 519, 23732, 540, 2250, 1845, 267, 8159, 922, 2949, 2511, 267, 2039, 540, 15437, 267, 543, 25798, 3877, 269, 1809, 1175, 1141, 1705, 519, 2012, 267, 3203, 715, 537, 557, 879, 630, 8072, 6124, 3203, 32426, 2097, 689, 286, 27837, 676, 519, 11419, 543, 1350, 600, 712, 540, 519, 3203, 1546, 1723, 1974, 540, 519, 476, 4572, 271, 779, 543, 476, 4350, 271, 779, 267, 13910, 3525, 518, 928, 568, 513, 3810, 10058, 4015, 540, 512, 2355, 267, 29636, 543, 4898, 2685, 14911, 19880, 17960, 269, 4634, 811, 865, 982, 1185, 3203, 1546, 1723, 267, 519, 20837, 1467, 3525, 518, 928, 2511, 1336, 922, 1259, 883, 12303, 1169, 2460, 540, 4892, 262, 2729, 267, 1519, 6189, 543, 1753, 5370, 267, 1141, 621, 1500, 3457, 602, 941, 5892, 17033, 6198, 883, 3688, 540, 5898, 269, 3171, 25733, 24484, 902, 269, 7994, 1688, 20077, 11308, 3774, 1148, 267, 15022, 622, 2083, 580, 872, 6272, 267, 610, 2560, 3203, 1546, 1723, 267, 2147, 547, 3203, 715, 537, 557, 879, 267, 568, 513, 2413, 1148, 2511, 602, 8942, 547, 1102, 2224, 6198, 3615, 609, 7499, 18953, 269, 1401, 22128, 267, 4605, 267, 7750, 1143, 267, 2413, 13777, 584, 1143, 1148, 1523, 269, 1546, 853, 6359, 331, 281, 12791, 2048, 5882, 685, 538, 10656, 267, 1546, 853, 6359, 331, 729, 513, 5858, 540, 10656, 7493, 5159, 945, 15469, 513, 2511, 540, 1148, 1759, 593, 513, 7453, 9511, 540, 5997, 2632, 1023, 543, 7299, 338, 269, 0, 21579, 13183, 320, 21783, 689, 2852, 543, 2877, 547, 6430, 1141, 1352, 4941, 547, 960, 269, 2701, 1185, 1896, 3681, 269, 4173, 13550, 7325, 773, 11262, 543, 13234, 513, 1507, 1870, 602, 1352, 3323, 827, 8938, 1296, 3516, 269, 7325, 773, 267, 606, 1367, 8227, 1993, 1200, 1870, 267, 5483, 6341, 13183, 320, 602, 1352, 1223, 960, 585, 1200, 269, 2201, 835, 1688, 267, 6341, 13183, 320, 2219, 621, 1131, 581, 513, 1390, 641, 1636, 29774, 547, 581, 2111, 547, 960, 585, 1200, 31225, 267, 1451, 519, 1870, 267, 543, 1287, 2196, 519, 1870, 950, 1200, 31225, 1427, 2231, 269, 13115, 515, 824, 1688, 267, 1352, 849, 5433, 602, 1352, 4941, 1945, 513, 2370, 811, 4101, 282, 513, 2816, 1141, 1352, 1223, 2731, 946, 615, 2069, 563, 15463, 824, 4781, 1131, 581, 547, 960, 585, 513, 2754, 602, 513, 3659, 543, 1200, 9393, 1185, 454, 11034, 539, 543, 24973, 11262, 269, 898, 729, 513, 6385, 3395, 2754, 609, 7899, 540, 4316, 585, 13120, 269, 1717, 267, 21579, 13183, 320, 1185, 930, 31681, 827, 713, 3903, 1317, 1352, 729, 711, 2386, 1352, 4941, 547, 960, 585, 2828, 269, 4173, 18431, 4781, 729, 547, 960, 585, 513, 1804, 10685, 2754, 267, 2212, 32483, 1229, 538, 15930, 267, 799, 1185, 8637, 2066, 519, 2136, 1805, 919, 563, 5475, 1454, 7156, 267, 6341, 13183, 320, 4956, 1352, 4769, 1406, 1616, 606, 4316, 543, 513, 2816, 1317, 2576, 6785, 1200, 2529, 515, 4941, 547, 6961, 875, 12592, 543, 2182, 11529, 1352, 729, 269, 4495, 1352, 26693, 782, 519, 5383, 543, 4134, 23955, 540, 1200, 1114, 3681, 267, 1352, 4956, 547, 960, 585, 519, 1804, 10685, 2754, 865, 602, 1352, 1223, 2744, 873, 739, 1995, 585, 9887, 563, 9223, 1107, 28582, 547, 6341, 13183, 320, 779, 667, 10308, 2742, 269, 9122, 593, 519, 1344, 3177, 267, 1018, 1826, 540, 1870, 1281, 6341, 13183, 320, 779, 13550, 7500, 888, 25618, 545, 24816, 543, 616, 1360, 2147, 563, 307, 539, 779, 11450, 6876, 609, 1079, 824, 2367, 729, 513, 3787, 5667, 895, 269, 2290, 540, 519, 2042, 519, 2367, 941, 25884, 729, 19514, 7607, 1851, 519, 4820, 2996, 269, 634, 6876, 2838, 1142, 7649, 547, 3565, 547, 1169, 2460, 540, 519, 1870, 547, 4309, 606, 3160, 6712, 540, 519, 12434, 269, 901, 6876, 1705, 2254, 2992, 519, 2856, 602, 454, 288, 269, 15905, 4891, 616, 2838, 547, 581, 3742, 538, 1554, 3562, 6377, 1870, 4238, 454, 289, 4318, 778, 7649, 1590, 3858, 547, 11731, 9411, 883, 593, 15773, 540, 782, 519, 1866, 454, 290, 6983, 2396, 619, 543, 5491, 832, 540, 513, 3908, 11450, 991, 711, 581, 6870, 454, 291, 269, 718, 4891, 991, 711, 581, 3160, 282, 602, 568, 267, 972, 616, 1114, 2010, 540, 4891, 269, 2368, 949, 581, 4628, 3742, 538, 454, 337, 7342, 519, 1870, 267, 6466, 1866, 949, 723, 513, 811, 3908, 1909, 563, 292, 31677, 31538, 26844, 2920, 3340, 1169, 2489, 11450, 547, 723, 693, 2547, 835, 3908, 7649, 454, 763, 2101, 4229, 538, 7082, 1143, 616, 454, 288, 269, 4621, 10179, 2069, 3292, 454, 289, 269, 718, 540, 519, 1657, 454, 290, 269, 785, 1339, 7082, 15156, 454, 763, 2136, 2276, 16858, 547, 1104, 1100, 811, 982, 476, 1911, 2929, 9748, 540, 4006, 689, 3127, 538, 1022, 2016, 1032, 269, 634, 1826, 540, 1104, 19231, 621, 1058, 20818, 568, 320, 3799, 994, 289, 269, 1150, 793, 5385, 1852, 454, 763, 2622, 11780, 9257, 729, 2813, 676, 519, 454, 292, 269, 8867, 6558, 540, 8315, 454, 2691, 29464, 3576, 513, 1007, 2990, 693, 8895, 15842, 758, 19007, 7577, 267, 519, 6109, 729, 2282, 1202, 565, 1597, 1097, 269, 2290, 540, 29464, 779, 1101, 6411, 729, 547, 3715, 14588, 6900, 3853, 585, 6455, 2208, 543, 513, 4640, 585, 8236, 873, 269, 1261, 849, 4957, 519, 10721, 2497, 543, 2919, 606, 14969, 1852, 17882, 585, 5329, 519, 2754, 593, 3950, 269, 29464, 568, 8647, 538, 513, 3799, 264, 2990, 693, 8895, 15842, 758, 19007, 563, 2691, 9652, 1299, 9652, 17496, 5516, 267, 5549, 1421, 4092, 538, 12722, 6807, 267, 8419, 267, 23619, 922, 8028, 10013, 16604, 3346, 14485, 547, 1004, 538, 26780, 267, 4789, 267, 519, 2754, 454, 288, 18994, 1104, 532, 519, 14485, 454, 289, 269, 13757, 606, 6207, 5413, 454, 290, 18994, 13143, 532, 519, 14485, 454, 291, 18994, 2810, 519, 3666, 6361, 2389, 8565, 17211, 454, 292, 18994, 1818, 513, 2462, 12161, 454, 7617, 540, 519, 1739, 1655, 11225, 3666, 540, 4123, 888, 288, 10422, 3420, 2084, 2472, 538, 824, 2477, 543, 8744, 873, 883, 835, 779, 1378, 2197, 454, 289, 7868, 2702, 547, 3132, 513, 1978, 1587, 811, 7561, 982, 1022, 824, 4182, 454, 290, 7868, 2698, 1871, 540, 513, 4182, 779, 18666, 14263, 519, 2698, 1871, 540, 922, 20558, 936, 930, 1974, 540, 942, 563, 291, 7868, 2702, 547, 20647, 538, 519, 2504, 540, 513, 1808, 1587, 543, 4123, 621, 585, 824, 2877, 2472, 454, 292, 7868, 2698, 2095, 540, 2724, 883 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 19523, 454, 5814, 15259, 454, 604, 7003, 4433, 903, 27769, 341, 3738, 2999, 476, 274, 912, 825, 1820, 9497, 27447, 24662, 9463, 480, 12255, 421, 498, 503, 13644, 363, 5602, 12828, 10778, 1038, 30775, 815, 19523, 27769, 341, 314, 272, 2639, 1038, 30775, 273, 815, 19523, 27769, 341, 314, 273, 2639, 1038, 1219, 1224, 12803, 28442, 2187, 2018, 1592, 815, 15259, 269, 4289, 323, 597, 263, 657, 10947, 322, 23424, 15405, 2018, 952, 2012, 538, 1592, 912, 3546, 609, 1930, 263, 2012, 267, 834, 337, 2580, 17683, 815, 834, 326, 321, 330, 8442, 607, 3758, 912, 7386, 1347, 338, 815, 476, 271, 454, 7386, 2262, 815, 476, 271, 454, 7386, 4737, 815, 476, 271, 454, 7386, 10145, 32284, 815, 476, 271, 454, 7386, 3009, 32284, 815, 476, 271, 454, 7386, 6085, 32284, 815, 476, 271, 454, 7386, 1166, 720, 815, 271, 454, 7386, 669, 534, 625, 324, 815, 271, 454, 7386, 1193, 338, 815, 3758, 18667, 4590, 7386, 1989, 815, 1193, 338, 21858, 19629, 333, 5602, 7386, 4737, 815, 7003, 14116, 337, 994, 7386, 585, 1899, 538, 1989, 912, 13376, 1775, 284, 271, 454, 13376, 1990, 338, 815, 1899, 21858, 3488, 2260, 5073, 13376, 1990, 338, 272, 815, 1899, 21858, 3488, 270, 265, 5073, 13376, 952, 1899, 14714, 8692, 3890, 2652, 15234, 528, 7003, 263, 1467, 14714, 8692, 28829, 2652, 476, 272, 912, 23351, 10145, 32284, 6834, 476, 272, 454, 13376, 8640, 476, 7003, 18750, 338, 314, 271, 8079, 10922, 476, 272, 543, 1990, 338, 314, 271, 316, 11203, 1412, 257, 262, 528, 7003, 18750, 338, 272, 314, 271, 8079, 10922, 476, 272, 543, 1990, 338, 272, 1496, 271, 316, 11203, 1412, 834, 1412, 10778, 23351, 6085, 32284, 6834, 476, 272, 454, 13376, 3116, 912, 23351, 3009, 32284, 6834, 476, 272, 454, 23351, 585, 552, 538, 1899, 912, 4449, 3546, 1775, 6834, 272, 454, 4449, 3546, 952, 552, 11203, 1412, 1412, 912, 4449, 7386, 1347, 338, 6834, 476, 272, 454, 4449, 3546, 952, 1412, 315, 340, 275, 324, 876, 262, 27045, 552, 10922, 1412, 315, 340, 280, 742, 325, 262, 10778, 4449, 7386, 669, 534, 625, 324, 6834, 272, 454, 4449, 3546, 952, 567, 552, 18994, 10401, 3890, 610, 552, 18994, 323, 13424, 3890, 610, 552, 2652, 262, 268, 262, 10778, 4449, 7386, 1166, 720, 815, 476, 272, 454, 4449, 7386, 952, 1775, 2525, 6352, 263, 1467, 264, 543, 1166, 720, 2652, 476, 272, 912, 4449, 13376, 2262, 6834, 476, 272, 454, 4449, 13376, 1166, 720, 815, 476, 271, 454, 4449, 3546, 8640, 1166, 720, 476, 2652, 476, 272, 10778, 4449, 7386, 2262, 6834, 476, 272, 454, 4449, 7386, 1166, 720, 815, 476, 271, 692, 3546, 2132, 476, 4737, 267, 29734, 32284, 267, 13892, 32284, 267, 1260, 618, 32284, 267, 577, 1513, 267, 5320, 267, 2559, 625, 324, 454, 2018, 3116, 912, 3546, 1820, 28442, 2437, 24757, 10524, 370, 21251, 11858, 502, 21928, 15419, 339, 787, 10778, 825, 952, 30775, 256, 6889, 268, 338, 257, 10778, 1038, 759, 815, 1224, 12803, 4433, 903, 27769, 341, 314, 273, 7481, 825, 952, 30775, 2652, 29038, 322, 257, 10778, 1038, 1820, 2891, 21211, 31033, 12255, 20992, 16088, 257, 2073, 637, 314, 275, 7481, 825, 952, 30775, 2652, 29038, 331, 257, 10778, 1038, 1820, 2891, 26233, 375, 27310, 12255, 20992, 16088, 257, 2073, 759, 314, 271, 7481, 825, 952, 30775, 2652, 29038, 342, 13426, 1038, 1820, 2891, 22287, 499, 13644, 491, 12255, 20992, 281, 257, 2073, 637, 314, 276, 316, 2437, 315, 333, 18809, 24757, 21211, 12255, 20992, 16088, 2580, 637, 314, 277, 7481, 825, 952, 30775, 2652, 29038, 320, 257, 10778, 1038, 1820, 2891, 419, 358, 374, 27310, 12255, 20992, 16088, 257, 2073, 759, 314, 272, 316, 2437, 315, 333, 28786, 419, 510, 479, 27310, 20992, 16088, 257, 2073, 759, 314, 273, 316, 2437, 315, 333, 21796, 357, 19404, 488, 27310, 20992, 16088, 2580, 637, 314, 274, 7481, 825, 952, 30775, 2652, 834, 718, 257, 10778, 1038, 1820, 2891, 26233, 375, 27310, 12255, 20992, 16088, 257, 2073, 759, 314, 271, 7481, 1038, 1820, 2891, 419, 358, 374, 27310, 12255, 20992, 16088, 257, 2073, 759, 314, 272, 7481, 1038, 1820, 2891, 28786, 419, 510, 479, 27310, 20992, 16088, 257, 2073, 759, 314, 273, 7481, 1038, 1820, 9497, 21796, 357, 19404, 488, 27310, 20992, 16088, 2580, 637, 314, 274, 7481, 1038, 1820, 2891, 21211, 31033, 12255, 20992, 16088, 257, 2073, 637, 314, 275, 7481, 1038, 1820, 2891, 22287, 499, 13644, 491, 12255, 20992, 16088, 257, 2073, 637, 314, 276, 7481, 1038, 1820, 9497, 18809, 24757, 21211, 12255, 20992, 16088, 2580, 637, 314, 277, 7481, 825, 952, 30775, 2652, 29038, 338, 257, 10778, 1038, 952, 30775, 273, 8206, 6889, 268, 342, 257, 543, 30775, 273, 8206, 6889, 268, 331, 257, 543, 30775, 273, 8206, 6889, 268, 320, 257, 543, 30775, 273, 8206, 6889, 268, 322, 257, 10778, 2018, 1820, 9497, 27447, 24662, 9463, 480, 12255, 421, 498, 503, 13644, 363, 5602, 1038, 3758, 4289, 815, 15259, 269, 4289, 323, 597, 263, 657, 10947, 322, 23424, 15405, 1038, 585, 562, 538, 3758, 4289, 10778, 2018, 952, 15259, 29624, 18994, 12803, 3799, 2187, 3546, 952, 15259, 29624, 4732, 680, 924, 868, 3799, 25011, 272, 316, 2652, 15259, 29624, 4732, 680, 924, 868, 4433, 903, 604, 27769, 341, 314, 274, 8079, 314, 272, 14158, 7386, 759, 272, 815, 1224, 12803, 3799, 994, 7386, 952, 30775, 273, 2652, 29038, 322, 257, 10778, 13376, 1820, 263, 27719, 333, 24757, 10524, 370, 12571, 491, 16088, 2580, 333, 2437, 315, 333, 21211, 31033, 12255, 20992, 16088, 257, 2073, 637, 272, 314, 275, 7481, 7386, 952, 30775, 273, 2652, 29038, 331, 257, 10778, 13376, 1820, 19629, 333, 24757, 10524, 370, 12571, 491, 16088, 2580, 333, 2437, 315, 333, 26233, 375, 27310, 12255, 20992, 16088, 257, 2073, 759, 272, 314, 271, 7481, 7386, 952, 30775, 273, 2652, 29038, 342, 13426, 13376, 1820, 19629, 333, 24757, 10524, 370, 12571, 491, 16088, 2580, 333, 2437, 315, 333, 22287, 499, 13644, 491, 12255, 20992, 281, 257, 2073, 637, 272, 314, 276, 316, 2437, 315, 333, 18809, 24757, 21211, 12255, 20992, 16088, 2580, 637, 272, 314, 277, 7481, 7386, 952, 30775, 273, 2652, 29038, 320, 257, 10778, 13376, 1820, 19629, 333, 24757, 10524, 370, 12571, 491, 16088, 2580, 333, 2437, 315, 333, 419, 358, 374, 27310, 12255, 20992, 16088, 257, 2073, 759, 272, 314, 272, 316, 2437, 315, 333, 28786, 419, 510, 479, 27310, 20992, 16088, 257, 2073, 759, 272, 314, 273, 316, 2437, 315, 333, 21796, 357, 19404, 488, 27310, 20992, 16088, 2580, 637, 272, 314, 274, 7481, 825, 952, 30775, 8206, 6889, 268, 338, 257, 663, 30775, 8206, 6889, 268, 322, 257, 663, 30775, 8206, 6889, 268, 342, 257, 663, 30775, 8206, 6889, 268, 331, 257, 663, 30775, 8206, 6889, 268, 320, 13426, 1038, 1820, 2891, 27447, 24662, 9463, 480, 12255, 421, 498, 503, 13644, 363, 5602, 21955, 12476, 2750, 4003, 10778, 825, 14827, 263, 272, 264, 0, 5814, 2979, 454, 320, 815, 703, 9272, 3488, 14707, 924, 12882, 978, 25222, 281, 1412, 4917, 320, 815, 2979, 269, 2784, 2103, 5416, 11850, 2745, 3488, 25938, 334, 281, 2715, 15545, 273, 325, 348, 1422, 333, 15328, 281, 2715, 15545, 273, 325, 4153, 333, 18000, 281, 2715, 15545, 273, 325, 348, 8339, 8971, 263, 4118, 4732, 514, 5416, 1070, 2979, 269, 6523, 5416, 1070, 2979, 6745, 534, 5416, 21875, 0, 333, 272, 815, 703, 9272, 3488, 14707, 924, 281, 1412, 4917, 2745, 2891, 291, 984, 549, 281, 2715, 4153, 333, 31590, 680, 334, 281, 2715, 4153, 333, 26244, 714, 2372, 611, 2784, 320, 281, 15079, 2668, 8971, 3799, 272, 265, 273, 267, 562, 272, 265, 274, 267, 562, 272, 1262, 263, 272, 270, 273, 30727, 0, 3698, 575, 7251, 3799, 272, 267, 562, 273, 2187, 825, 8173, 825, 6348, 7304, 1815, 27641, 1599, 547, 2132, 519, 717, 7374, 540, 562, 272, 543, 562, 273, 454, 825, 8173, 825, 952, 562, 272, 2999, 562, 273, 912, 1038, 562, 272, 267, 562, 273, 815, 562, 273, 267, 562, 272, 454, 825, 1247, 562, 272, 4939, 562, 273, 912, 1038, 562, 272, 267, 562, 273, 815, 562, 273, 267, 562, 272, 4939, 562, 273, 454, 825, 2132, 562, 273, 7531, 3698, 575, 7251, 23631, 15479, 633, 3799, 272, 267, 562, 273, 2187, 825, 8173, 825, 1234, 15479, 633, 1599, 547, 2132, 519, 717, 7374, 540, 562, 272, 543, 562, 273, 454, 825, 8173, 825, 952, 562, 272, 2652, 476, 271, 912, 1038, 2132, 562, 273, 454, 825, 2132, 575, 7251, 3799, 273, 4939, 562, 272, 267, 562, 272, 9239, 3698, 561, 9492, 3799, 272, 267, 562, 273, 2187, 825, 8173, 825, 9577, 547, 2132, 519, 561, 9492, 540, 1079, 2338, 454, 825, 8173, 825, 2132, 630, 333, 272, 2608, 562, 273, 264, 1315, 575, 7251, 3799, 272, 267, 562, 273, 264, 0, 5814, 26417, 454, 5035, 4578, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 9041, 12803, 2187, 1038, 952, 9041, 12803, 6230, 1712, 11203, 1412, 337, 12466, 2018, 2132, 2018, 692, 1038, 1582, 21606, 567, 815, 31460, 1038, 1582, 18667, 518, 815, 26417, 18667, 518, 263, 318, 12803, 267, 844, 7627, 284, 322, 12364, 269, 12702, 5588, 292, 318, 17920, 994, 1038, 1582, 269, 30447, 476, 815, 11713, 1038, 1582, 23584, 619, 825, 815, 11713, 1038, 585, 4737, 538, 1582, 18667, 518, 912, 2018, 1948, 10361, 619, 454, 2018, 952, 1582, 18667, 518, 269, 1467, 19571, 2652, 476, 272, 912, 3546, 585, 20927, 538, 4737, 314, 272, 281, 14158, 7386, 1582, 21606, 314, 3650, 518, 14714, 8692, 3488, 257, 10807, 316, 815, 31460, 7386, 1582, 23584, 619, 6910, 263, 3650, 518, 14714, 8692, 3488, 257, 10807, 2020, 2018, 1948, 4578, 454, 2018, 3116, 912, 3546, 6935, 815, 4737, 314, 271, 2639, 3546, 1582, 269, 30447, 6910, 263, 21975, 994, 3546, 585, 7329, 343, 267, 2012, 538, 26246, 4311, 21606, 269, 12399, 3890, 2187, 7386, 952, 4737, 314, 30915, 1341, 476, 272, 316, 2652, 1412, 12466, 13376, 3136, 454, 7386, 1582, 21606, 314, 4067, 6012, 21975, 316, 815, 10581, 21405, 314, 30915, 1341, 476, 272, 7481, 8931, 825, 1219, 9883, 4311, 267, 533, 272, 267, 533, 273, 2187, 1038, 2132, 4578, 6185, 626, 1734, 4311, 267, 533, 272, 267, 533, 273, 2020, 8931, 825, 1362, 5940, 1734, 912, 1038, 1219, 6449, 8181, 9191, 1345, 267, 2385, 267, 533, 272, 267, 533, 273, 2187, 2018, 1582, 4877, 272, 815, 533, 272, 454, 2018, 1582, 4877, 273, 815, 533, 273, 454, 2018, 1582, 4877, 1861, 815, 2385, 454, 2018, 1582, 21606, 272, 815, 2385, 21606, 314, 335, 272, 2639, 2018, 1582, 21606, 273, 815, 2385, 21606, 314, 335, 273, 2639, 2018, 1582, 269, 3438, 1807, 815, 4786, 4311, 21606, 272, 267, 1582, 21606, 273, 994, 2018, 1582, 6155, 272, 815, 476, 271, 454, 2018, 1582, 6155, 273, 815, 476, 271, 692, 1038, 1219, 2798, 318, 732, 318, 20777, 4311, 2187, 2018, 2132, 1582, 6155, 272, 11203, 7183, 543, 1582, 6155, 273, 11203, 7183, 28329, 1038, 1219, 1770, 318, 2006, 21908, 4311, 267, 678, 815, 7183, 2187, 2018, 2132, 2612, 4311, 6155, 272, 910, 1582, 6155, 273, 2020, 1038, 1219, 1770, 318, 15710, 743, 22470, 4311, 267, 678, 815, 7183, 2187, 2018, 2132, 630, 1345, 6155, 272, 910, 1582, 6155, 273, 264, 2878, 476, 273, 692, 1038, 1219, 1770, 8548, 1074, 22603, 4311, 267, 678, 2187, 2018, 1948, 1820, 2891, 644, 1092, 24333, 263, 1345, 6155, 272, 910, 1582, 6155, 273, 264, 2878, 678, 994, 2018, 2132, 2612, 4311, 6155, 272, 910, 1582, 6155, 273, 264, 2878, 678, 692, 1038, 1219, 5173, 4311, 267, 1770, 6958, 4233, 267, 759, 6958, 4233, 815, 7183, 267, 678, 815, 476, 272, 2187, 2018, 1820, 6600, 262, 291, 2700, 1063, 281, 2715, 1345, 4877, 272, 348, 543, 2715, 1345, 4877, 273, 9574, 9847, 3299, 754, 8782, 30386, 2018, 759, 815, 476, 271, 454, 2018, 585, 6935, 538, 1582, 4877, 1861, 269, 30447, 912, 3546, 1948, 1820, 2891, 325, 11907, 24333, 1345, 6155, 272, 267, 1582, 6155, 273, 994, 3546, 1582, 6155, 272, 267, 1582, 6155, 273, 815, 1582, 21606, 272, 10947, 263, 21975, 1070, 1582, 21606, 273, 10947, 263, 21975, 994, 3546, 952, 1582, 269, 9557, 318, 732, 318, 20777, 10031, 7386, 759, 6834, 1770, 6958, 4233, 16868, 994, 2018, 759, 815, 759, 6958, 4233, 263, 637, 267, 678, 264, 952, 759, 6958, 4233, 3116, 759, 454, 2018, 1820, 263, 637, 994, 2018, 2132, 759, 692, 1038, 1219, 812, 21908, 4311, 2187, 2018, 1820, 3488, 10048, 21908, 3299, 1439, 8782, 30386, 2018, 2132, 1582, 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 ]
[ 666, 581, 5701, 4907, 1227, 610, 11122, 8271, 267, 4470, 593, 519, 3461, 779, 2564, 2783, 269, 1403, 1950, 2596, 969, 673, 18655, 2049, 538, 2550, 609, 11560, 17881, 5328, 7633, 610, 609, 12947, 4048, 29232, 18655, 540, 519, 9729, 673, 5642, 267, 1287, 2359, 1058, 4125, 667, 9391, 543, 5086, 10824, 269, 589, 17684, 666, 581, 3773, 547, 519, 667, 9391, 9938, 574, 958, 547, 11177, 519, 24364, 6617, 540, 519, 5642, 543, 1683, 1489, 543, 30651, 563, 2304, 520, 13929, 5786, 568, 2352, 547, 3035, 538, 930, 3185, 7394, 8405, 18655, 609, 6296, 6354, 11494, 18902, 951, 267, 543, 789, 2154, 1930, 10551, 6304, 269, 901, 2186, 540, 9048, 3027, 1043, 3185, 7394, 8405, 18655, 568, 4749, 7294, 676, 1285, 6018, 27394, 15727, 540, 519, 3185, 7394, 2212, 543, 1875, 684, 542, 540, 519, 17795, 269, 8422, 8820, 954, 516, 9146, 5786, 729, 11827, 676, 18681, 1696, 620, 547, 4308, 609, 1346, 2042, 269, 18681, 1696, 620, 2966, 513, 11050, 6060, 1062, 1031, 538, 2126, 540, 2937, 3185, 7394, 8405, 18655, 609, 1164, 2188, 585, 1875, 684, 542, 630, 720, 3436, 476, 2004, 1296, 267, 8951, 267, 12761, 17795, 267, 1164, 1648, 5945, 267, 543, 1977, 5980, 540, 1323, 15589, 328, 5505, 630, 3008, 288, 264, 3446, 1657, 8633, 1070, 799, 2882, 3461, 779, 2085, 267, 17795, 1826, 267, 5642, 7777, 5860, 267, 2238, 540, 3232, 2713, 267, 543, 2564, 32435, 885, 269, 901, 11050, 6060, 1062, 2337, 538, 10551, 3375, 6194, 3823, 519, 2126, 3903, 585, 2937, 2550, 609, 3185, 7394, 8405, 18655, 269, 769, 1931, 547, 2061, 1875, 684, 542, 543, 3185, 7394, 2212, 27394, 15727, 540, 3185, 7394, 8405, 17795, 267, 2937, 4195, 3185, 7394, 8405, 18655, 609, 1164, 2188, 585, 1875, 684, 542, 2154, 2038, 6304, 267, 799, 5161, 540, 1863, 476, 8270, 659, 5642, 21910, 13003, 532, 609, 24845, 9729, 673, 5642, 543, 4835, 30651, 563, 293, 655, 7394, 10361, 674, 847, 999, 454, 2252, 519, 17795, 4386, 538, 513, 1875, 7076, 24481, 851, 540, 519, 3185, 584, 267, 609, 1507, 1863, 1922, 5979, 908, 15998, 9361, 1369, 519, 4745, 23555, 267, 1287, 519, 13735, 15998, 1058, 581, 3144, 856, 547, 2057, 2417, 3441, 547, 519, 4745, 269, 1403, 519, 17795, 4386, 538, 513, 2597, 24481, 3296, 540, 519, 3185, 584, 267, 1507, 18848, 25336, 610, 10110, 762, 25336, 666, 581, 17332, 689, 519, 1875, 7076, 24481, 3296, 547, 4368, 519, 17795, 267, 609, 519, 2212, 540, 519, 17970, 1175, 9944, 1016, 577, 1180, 1537, 5642, 269, 1306, 811, 982, 1079, 22188, 540, 3185, 7394, 2212, 18655, 4125, 513, 8237, 2212, 609, 606, 2404, 8405, 17795, 610, 21449, 629, 983, 17795, 267, 513, 2698, 12048, 10682, 568, 2356, 519, 2126, 540, 3903, 563, 13312, 777, 1506, 572, 531, 12339, 7394, 674, 847, 999, 630, 306, 1122, 618, 476, 3953, 994, 293, 655, 7394, 14788, 18655, 2049, 538, 519, 3148, 14178, 689, 519, 14758, 7708, 2559, 614, 547, 519, 27506, 540, 3185, 7394, 7873, 5138, 630, 16123, 370, 8431, 269, 476, 275, 269, 736, 1040, 634, 1560, 540, 519, 3185, 584, 267, 3592, 20425, 538, 1106, 267, 568, 513, 2370, 6626, 9120, 569, 982, 538, 519, 4099, 267, 543, 10169, 24609, 539, 543, 11097, 2989, 606, 614, 641, 739, 7845, 569, 267, 2523, 693, 519, 2539, 1439, 269, 898, 568, 5594, 17208, 609, 513, 5347, 23756, 640, 18751, 569, 267, 543, 22541, 17911, 569, 676, 513, 7986, 19976, 25170, 267, 519, 1899, 320, 607, 704, 320, 267, 799, 5170, 883, 519, 1350, 1393, 531, 16321, 13920, 2706, 268, 565, 831, 958, 269, 634, 8006, 540, 519, 3185, 7394, 14788, 543, 519, 11098, 540, 519, 9729, 673, 4494, 540, 519, 14788, 616, 2404, 609, 519, 2597, 12946, 543, 519, 8082, 4294, 547, 519, 3185, 584, 269, 1306, 513, 1267, 267, 519, 9729, 673, 4494, 540, 519, 14788, 22887, 340, 919, 4724, 519, 9938, 2711, 543, 30218, 7475, 540, 519, 3185, 584, 563, 288, 302, 19032, 540, 4144, 777, 1506, 572, 531, 12339, 7394, 674, 847, 999, 454, 17780, 593, 589, 302, 8760, 267, 519, 1019, 7469, 1736, 540, 519, 3185, 584, 568, 27573, 607, 1297, 968, 3953, 1848, 898, 568, 2417, 5258, 883, 1614, 2010, 4470, 593, 17795, 3270, 281, 476, 3953, 5025, 281, 11822, 17795, 282, 476, 3953, 5174, 281, 654, 8354, 17795, 282, 543, 476, 3953, 4211, 281, 13216, 17795, 630, 16123, 370, 8431, 269, 476, 275, 269, 2641, 1040, 0, 19136, 20584, 267, 849, 1634, 607, 590, 553, 638, 2255, 267, 568, 513, 26704, 13442, 602, 568, 1767, 547, 9468, 7733, 267, 2523, 538, 519, 7414, 19566, 3148, 540, 3345, 3013, 269, 898, 568, 3335, 4330, 607, 513, 1804, 267, 513, 701, 6438, 13442, 609, 6960, 610, 3109, 9663, 543, 1279, 7916, 269, 634, 10828, 540, 8262, 20584, 12090, 609, 519, 6805, 9082, 540, 519, 7414, 19566, 267, 945, 723, 1279, 5143, 2984, 540, 513, 12357, 13442, 602, 2729, 538, 519, 7733, 543, 568, 10355, 2938, 676, 3425, 269, 769, 2413, 2053, 267, 519, 10828, 540, 8262, 20584, 814, 6591, 8560, 267, 543, 972, 723, 1044, 1082, 4080, 8289, 902, 540, 519, 13442, 267, 4352, 9039, 540, 891, 8289, 902, 723, 1044, 9672, 269, 6736, 519, 3668, 540, 6405, 2963, 267, 519, 10828, 540, 8262, 20584, 5170, 547, 3673, 3729, 1004, 543, 568, 513, 2442, 1641, 538, 2442, 2528, 563, 19136, 20584, 538, 519, 3377, 454, 20685, 333, 19212, 717, 841, 4400, 18090, 814, 4857, 811, 982, 476, 1220, 1114, 4408, 585, 7068, 4330, 676, 3345, 1977, 6805, 2950, 607, 1373, 2147, 547, 8262, 20584, 563, 29012, 267, 1279, 1354, 519, 12625, 540, 17417, 267, 2818, 540, 519, 11782, 779, 3689, 8315, 267, 1519, 519, 6428, 880, 2146, 540, 32720, 4516, 267, 12038, 540, 521, 553, 638, 2255, 267, 513, 13442, 13380, 547, 8262, 20584, 267, 849, 1572, 1207, 330, 13195, 267, 22678, 685, 13195, 267, 610, 546, 345, 684, 4157, 11445, 563, 2304, 6605, 6048, 3057, 329, 12929, 16199, 11017, 814, 6594, 2757, 13968, 1500, 676, 519, 570, 13678, 3333, 1014, 12075, 540, 3703, 12052, 267, 799, 17216, 2099, 28516, 602, 798, 711, 2291, 6923, 538, 3345, 3013, 563, 1103, 519, 1715, 19839, 1873, 1157, 543, 25429, 32108, 4525, 2147, 7068, 941, 1572, 1368, 326, 342, 525, 269, 32439, 540, 873, 6394, 676, 10236, 6048, 661, 3149, 773, 7581, 9749, 29807, 976, 538, 476, 4572, 276, 4766, 873, 607, 28994, 756, 1023, 609, 1804, 3946, 543, 7703, 6438, 8188, 563, 763, 1353, 540, 8262, 20584, 610, 968, 306, 553, 638, 2255, 454, 2690, 1010, 851, 267, 17801, 6048, 631, 23581, 4446, 2041, 879, 6394, 1344, 689, 519, 15049, 517, 543, 19785, 663, 582, 540, 8235, 15049, 517, 945, 2446, 513, 9649, 28994, 756, 531, 1572, 6790, 526, 340, 267, 7247, 789, 4766, 607, 606, 10546, 540, 1390, 7516, 543, 28429, 16750, 7060, 269, 19848, 6048, 7671, 4325, 1188, 630, 4489, 276, 264, 4080, 513, 13442, 1851, 519, 744, 329, 756, 11445, 1572, 1509, 1122, 23495, 1470, 610, 3574, 812, 267, 4330, 607, 513, 2186, 540, 513, 701, 563, 763, 2067, 626, 21280, 2946, 631, 4115, 334, 20787, 3626, 267, 945, 538, 476, 9692, 273, 10483, 519, 24413, 20844, 12770, 632, 3288, 26636, 9298, 586, 2372, 611, 571, 1282, 1010, 16939, 547, 3703, 12052, 267, 19528, 538, 1010, 12591, 519, 4223, 331, 2135, 267, 513, 7823, 17743, 518, 602, 26182, 9810, 538, 6805, 2950, 269, 898, 1131, 723, 513, 1395, 560, 9317, 1560, 267, 4988, 609, 3109, 4552, 899, 606, 3662, 855, 1131, 723, 513, 2212, 2147, 547, 602, 540, 513, 1480, 1373, 543, 4064, 2147, 547, 1346, 540, 513, 7703, 269, 901, 13442, 814, 1279, 7916, 543, 19462, 543, 11263, 609, 1804, 17208, 18969, 563, 19136, 20584, 538, 519, 1158, 454, 13436, 7068, 4330, 676, 519, 645, 7578, 15346, 320, 12075, 540, 3844, 3703, 12052, 616, 1572, 4425, 336, 338, 269, 4340, 547, 10236, 6048, 570, 12171, 269, 5062, 296, 331, 342, 571, 603, 540, 519, 2160, 540, 17842, 267, 789, 1413, 899, 3425, 267, 855, 519, 11132, 1858, 1472, 519, 4064, 568, 711, 4330, 607, 1480, 269, 1358, 616, 536, 21317, 531, 543, 18711, 741, 1279, 7916, 1247, 6972, 269, 2060, 519, 9868, 540, 519, 3068, 267, 519, 4425, 336, 568, 7357, 4988, 609, 1279, 4552, 267, 2523, 593, 519, 8731, 810, 267, 543, 568, 1767, 547, 581, 5594, 4130, 982, 519, 3328, 1480, 269, 4033, 2950, 538, 32720, 4516, 3277, 547, 519, 853, 9508, 685, 331, 607, 513, 5198, 540, 15265, 7823, 23766, 269, 7324, 519, 645, 7578, 645, 7578, 1004, 267, 7264, 540, 519, 10195, 536, 867, 1359, 3703, 12052, 267, 972, 568, 2446, 540, 519, 623, 29220, 779, 4330, 607, 28994, 756, 531, 23766, 269, 634, 700, 18235, 13961, 26919, 540, 519, 7187, 23617, 2012, 513, 2147, 13442, 15616, 6614, 2389, 17249, 267, 543, 4766, 621, 607, 519, 9393, 540, 519, 3618, 945, 814, 3144, 593, 513, 4552, 344, 1480, 1106, 543, 568, 1312, 513, 6891, 543, 513, 2713, 1373, 3001, 998, 519, 4104, 563, 1103, 570, 1245, 676, 519, 27505, 619, 630, 4350, 279, 1070, 5856, 623, 13034, 269, 18471, 29728, 22281, 338, 5967, 532, 11361, 1004, 538, 6115, 1533, 538, 519, 476, 4350, 271, 338, 267, 945, 5143, 1864, 602, 1354, 519, 12625, 540, 3043, 2367, 267, 4787, 809, 636, 267, 610, 4552, 344, 2367, 267, 5030, 538, 519, 1858, 563, 1103, 27623, 14522, 649, 616, 6158, 827, 519, 772, 2001, 25625, 799, 666, 849, 581, 1572, 17312, 2006, 267, 8262, 2494, 267, 715, 656, 685, 2088, 610, 28418, 2006, 269, 898, 568, 1063, 476, 272, 269, 3199, 7397, 543, 476, 274, 7397, 7381, 267, 4988, 609, 9663, 689, 476, 276, 4699, 547, 476, 1015, 4699, 1279, 267, 814, 6505, 4064, 543, 5654, 899, 513, 18642, 929, 1493, 269, 4706, 7916, 616, 1279, 2614, 547, 5905, 922, 19704, 267, 621, 2729, 538, 519, 512, 1495, 571, 2282, 519, 700, 2993, 600, 3534, 10720, 267, 7575, 2864, 693, 3781, 543, 568, 606, 5140, 7669, 1067, 269, 901, 13442, 568, 1634, 547, 21102, 3165, 6854, 676, 29940, 267, 607, 1134, 607, 741, 5243, 267, 543, 547, 6861, 519, 512, 757, 540, 3786, 619, 563, 763, 570, 1782, 527, 2146, 26328, 22703, 14522, 543, 7125, 519, 4552, 344, 1480, 1355, 7068, 540, 741, 18691, 918, 880, 339, 10440, 553, 269, 1280, 873, 267, 891, 616, 9093, 945, 723, 1831, 4503, 543, 22072, 543, 4171, 4552, 814, 6738, 936, 942, 267, 8720, 873, 4625, 269, 4746, 1572, 519, 17333, 1562, 685, 1004, 543, 2713, 2059, 519, 5836, 267, 621, 568, 1767, 602, 789, 666, 2661, 607, 1134, 538, 519, 1216, 607, 593, 519, 2244, 563, 2690, 741, 851, 267, 519, 570, 13678, 9917, 534, 540, 14522, 3717, 540, 519, 1207, 330, 685, 342, 639, 267, 849, 1634, 607, 22678, 685, 334, 9655, 610, 22678, 685, 342, 525, 799, 1223, 581, 12261, 607, 24564, 267, 610, 1945, 708, 23550, 2494, 269, 898, 1131, 581, 513, 2186, 540, 4552, 344, 4630, 514, 573, 1210, 10007, 543, 16853, 547, 9718, 3294, 543, 6444, 607, 22072, 269, 634, 962, 335, 1731, 27478, 3717, 811, 4481, 540, 519, 1488, 592, 1092, 336, 267, 799, 1797, 513, 1517, 27172, 13442, 269, 898, 1131, 711, 581, 513, 23246, 855, 2864, 513, 1373, 8049, 827, 1480, 2238, 563, 1432, 568, 713, 1480, 1355, 13442, 15017, 295, 8543, 1480, 1355, 7068, 723, 1044, 4330, 538, 3345, 3013, 585, 607, 1279, 607, 3965, 5713, 543, 621, 814, 1044, 2009, 547, 29289, 11673, 827, 873, 269, 11153, 19165, 723, 1044, 2322, 4464, 547, 2119, 547, 2491, 519, 6228, 540, 971, 26704, 7919, 267, 1851, 799, 568, 602, 540, 513, 8093, 31848, 2808, 17255, 563, 2252, 649, 1491, 883, 2272, 519, 7516, 540, 519, 13442, 1572, 8262, 20584, 267, 519, 17254, 656, 641, 30965, 322, 639, 3788, 513, 4749, 5018, 8367, 269, 11109, 5030, 538, 5607, 267, 713, 835, 1131, 581, 513, 2249, 540, 1804, 10236, 1355, 513, 701, 4362, 538, 476, 4350, 277, 676, 519, 4436, 12779, 2632, 6048, 717, 13034, 269, 681, 269, 13153, 918, 14535, 580, 1873, 12245, 950, 646, 8068, 606, 10578, 5694, 538, 513, 4457, 26849, 538, 15173, 15158, 269, 634, 5694, 6027, 476, 273, 269, 276, 4699, 543, 519, 10196, 267, 13351, 676, 922, 11696, 28917, 547, 1480, 4522, 267, 9715, 621, 269, 10318, 1456, 602, 621, 1185, 20705, 547, 513, 1390, 513, 701, 267, 646, 3957, 621, 17254, 656, 641, 30965, 322, 639, 269, 898, 568, 5156, 602, 519, 8545, 7902, 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 ]
[ 1832, 519, 973, 5142, 6244, 3688, 3819, 676, 13936, 873, 538, 606, 2011, 31259, 269, 594, 557, 6836, 3388, 547, 1832, 6070, 710, 11523, 619, 4195, 1519, 13936, 873, 538, 606, 2011, 31259, 8708, 267, 1281, 660, 960, 269, 1879, 1818, 1250, 19471, 6070, 710, 11523, 619, 1775, 1904, 539, 585, 1286, 12537, 543, 28140, 877, 5452, 855, 1022, 824, 5452, 5078, 585, 5986, 1131, 960, 899, 1402, 6853, 5452, 267, 30011, 5452, 267, 22481, 5452, 267, 30485, 5452, 267, 669, 807, 5452, 610, 513, 6079, 3575, 269, 1411, 666, 849, 946, 835, 4212, 829, 11013, 540, 2666, 21429, 269, 7102, 11523, 619, 610, 15165, 3536, 602, 21645, 14897, 1369, 513, 7008, 540, 2395, 786, 849, 3251, 4195, 3476, 538, 606, 2011, 31259, 8708, 610, 9126, 269, 15188, 11523, 619, 538, 606, 2011, 31259, 9126, 267, 610, 4837, 610, 5068, 8708, 1310, 6679, 519, 10189, 269, 3371, 693, 267, 649, 616, 8149, 547, 7863, 707, 7834, 269, 19130, 619, 948, 519, 5779, 6529, 1927, 1510, 4946, 1454, 8137, 563, 763, 11523, 619, 786, 1413, 1932, 15459, 693, 1101, 267, 855, 789, 26546, 269, 17865, 710, 11523, 518, 12933, 1568, 519, 1482, 607, 1022, 824, 1835, 3518, 2267, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 16954, 6853, 23268, 667, 17143, 338, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 14470, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7689, 7170, 281, 19663, 5455, 2060, 18321, 281, 6184, 25378, 12267, 540, 8479, 29513, 692, 29020, 281, 4841, 786, 1174, 875, 5132, 666, 3337, 835, 781, 1272, 676, 1565, 827, 519, 1650, 540, 645, 1652, 539, 19257, 3554, 1855, 25564, 5915, 13568, 990, 747, 267, 513, 1762, 1977, 23920, 945, 4951, 9058, 2868, 1465, 693, 513, 1360, 1762, 2085, 269, 3414, 1200, 1383, 267, 1053, 786, 5431, 602, 789, 1932, 666, 2661, 13411, 2729, 998, 2241, 6411, 540, 11587, 543, 2648, 2509, 1866, 780, 7072, 281, 5620, 596, 4862, 540, 1022, 2984, 540, 1762, 1004, 3257, 1390, 1919, 286, 6884, 649, 1589, 602, 1152, 4079, 666, 798, 5863, 23339, 267, 855, 972, 616, 1082, 11121, 8941, 540, 3214, 543, 14038, 945, 723, 1500, 1713, 7418, 547, 2486, 543, 1256, 2968, 25598, 256, 4653, 267, 649, 786, 1451, 827, 2349, 269, 19257, 3554, 1855, 25564, 5915, 13568, 990, 747, 267, 513, 1762, 1977, 4807, 4171, 2620, 5132, 3366, 1200, 547, 1831, 513, 1909, 2203, 585, 782, 540, 721, 780, 4089, 476, 272, 281, 5808, 12984, 2349, 269, 19257, 3554, 1855, 25564, 5915, 13568, 990, 747, 888, 7922, 269, 19257, 3554, 1855, 25564, 5915, 13568, 990, 747, 729, 4535, 538, 476, 5002, 272, 538, 7345, 517, 928, 267, 1715, 14948, 269, 4634, 1498, 1352, 5293, 2476, 950, 1352, 729, 1175, 476, 2918, 1296, 2025, 267, 1200, 6909, 5132, 543, 1434, 1568, 6273, 1346, 1472, 1200, 269, 1306, 513, 1126, 267, 1352, 13984, 7136, 1169, 1554, 609, 1200, 1920, 543, 6068, 4543, 856, 538, 5939, 2238, 269, 1879, 1352, 3893, 4587, 267, 1352, 8678, 519, 590, 8651, 540, 4077, 640, 540, 12142, 10906, 540, 1230, 1203, 13749, 267, 4142, 21899, 9887, 4628, 547, 7674, 2696, 543, 1866, 269, 4014, 1200, 3909, 1931, 1705, 711, 7620, 3398, 1200, 1813, 547, 4145, 936, 1200, 1072, 267, 1352, 829, 572, 30099, 543, 5555, 3576, 1200, 642, 3298, 269, 10801, 1200, 5618, 1272, 267, 1352, 5206, 4190, 5289, 5931, 4904, 609, 7326, 3564, 1200, 1296, 269, 2991, 1200, 2669, 267, 1082, 28986, 941, 11911, 547, 1200, 954, 20896, 267, 3056, 547, 1200, 10726, 2305, 538, 476, 1001, 275, 1107, 519, 1101, 971, 2680, 4371, 593, 2475, 3037, 2439, 4089, 476, 273, 281, 1215, 2052, 1284, 14970, 3776, 22032, 6145, 2349, 269, 19257, 3554, 1855, 25564, 5915, 13568, 990, 747, 888, 10214, 1498, 1034, 540, 721, 949, 2760, 1831, 25598, 899, 2349, 269, 19257, 3554, 1855, 25564, 5915, 13568, 990, 747, 267, 649, 666, 1869, 1246, 1200, 1383, 676, 3395, 938, 1378, 5132, 543, 4687, 621, 609, 1866, 269, 3371, 616, 930, 2081, 547, 798, 865, 1384, 265, 29934, 7136, 5781, 543, 4309, 519, 5485, 571, 906, 1419, 269, 901, 2337, 7794, 707, 2078, 609, 2696, 543, 8952, 596, 16135, 538, 707, 4978, 563, 265, 2142, 2186, 543, 17519, 547, 3025, 596, 2743, 269, 8058, 2463, 547, 707, 3237, 267, 3610, 267, 16254, 267, 2828, 267, 543, 1256, 21046, 269, 5457, 602, 1142, 1268, 568, 2189, 543, 3407, 538, 519, 4064, 540, 2696, 563, 265, 20644, 1507, 24279, 2429, 519, 1554, 269, 9320, 18178, 602, 3063, 4062, 540, 17711, 610, 2709, 547, 948, 2973, 909, 1310, 12129, 3079, 540, 8384, 7641, 269, 1452, 2370, 3527, 1397, 2696, 602, 596, 2648, 13924, 543, 1616, 547, 4196, 13924, 563, 265, 24619, 7772, 16382, 596, 979, 269, 3911, 850, 267, 14902, 267, 543, 2671, 10575, 14823, 1913, 609, 1346, 1472, 596, 269, 589, 2318, 10182, 4422, 513, 1279, 1259, 538, 6505, 2287, 824, 9082, 262, 2395, 2439, 6962, 281, 2349, 269, 19257, 3554, 1855, 25564, 5915, 13568, 990, 747, 781, 1650, 2982, 721, 602, 2713, 513, 1272, 540, 5132, 1281, 711, 2154, 6264, 17267, 610, 21239, 282, 2864, 267, 621, 3322, 1208, 29087, 1739, 4906, 262, 10752, 998, 3232, 11755, 267, 15962, 3028, 267, 543, 9758, 1416, 585, 1866, 269, 5664, 1153, 1053, 666, 4019, 891, 3741, 538, 741, 4948, 2729, 676, 8156, 3025, 609, 15683, 267, 6029, 6568, 267, 543, 5275, 3255, 547, 1332, 6251, 547, 2696, 269, 2913, 721, 11441, 547, 708, 10028, 2349, 269, 19257, 3554, 1855, 25564, 5915, 13568, 990, 747, 781, 21644, 543, 8300, 1346, 1472, 721, 609, 938, 2178, 5132, 543, 26124, 1383, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19751, 476, 275, 267, 476, 1001, 275, 7436, 606, 8978, 4090, 538, 519, 1272, 540, 519, 7826, 5783, 538, 519, 2136, 2276, 269, 1280, 519, 1101, 942, 2479, 267, 519, 681, 924, 540, 19468, 2305, 786, 1491, 1747, 593, 1977, 3037, 269, 769, 713, 16008, 267, 519, 5783, 13166, 17767, 519, 24123, 18813, 640, 540, 2576, 945, 814, 5747, 543, 2636, 519, 21705, 547, 8956, 713, 1268, 609, 20174, 593, 513, 2199, 1377, 543, 547, 7281, 547, 713, 1268, 585, 741, 2115, 16638, 476, 3707, 276, 267, 519, 10513, 6423, 17101, 21674, 32511, 2795, 4802, 267, 519, 1101, 21674, 540, 4793, 3205, 267, 547, 2253, 519, 1184, 540, 7634, 883, 519, 1272, 543, 18813, 640, 540, 29447, 269, 19257, 3554, 1855, 25564, 5915, 13568, 990, 747, 540, 519, 590, 8651, 540, 4077, 640, 540, 853, 269, 10906, 540, 1230, 1203, 13749, 269, 4173, 1272, 729, 2110, 267, 513, 6071, 476, 2918, 1296, 269, 1809, 267, 1200, 2868, 1465, 729, 7096, 269, 18004, 538, 7345, 517, 928, 267, 1715, 14948, 593, 4728, 476, 2918, 267, 476, 5002, 272, 267, 1352, 8057, 909, 267, 538, 2407, 2070, 540, 1715, 14948, 779, 3282, 1201, 514, 7685, 267, 607, 519, 21836, 540, 5722, 1453, 269, 1635, 678, 924, 267, 1352, 729, 513, 31089, 1156, 1014, 7826, 269, 769, 519, 4064, 540, 519, 1158, 267, 1352, 5030, 513, 3339, 1272, 269, 2701, 21783, 689, 519, 2199, 1857, 1164, 1153, 269, 2701, 10150, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 26244, 2358, 5753, 609, 18321, 257, 607, 851, 540, 834, 32628, 1315, 4168, 12389, 1315, 9977, 532, 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, 898, 729, 513, 6505, 13566, 1554, 267, 543, 21667, 729, 3478, 4712, 547, 979, 547, 1200, 1007, 1153, 269, 2701, 1185, 5063, 6410, 547, 513, 1007, 4884, 543, 4769, 1405, 917, 4896, 2943, 269, 1306, 1352, 15336, 2509, 519, 13675, 540, 1200, 1007, 1153, 267, 1352, 4718, 6266, 540, 3214, 4730, 543, 28617, 1927, 269, 4173, 2295, 3323, 17040, 1107, 1352, 5433, 8401, 1317, 1352, 4769, 1405, 917, 875, 547, 1118, 2828, 1934, 780, 9617, 1287, 267, 1776, 8004, 3957, 23183, 3357, 909, 547, 1200, 269, 23183, 20493, 27145, 543, 1767, 267, 968, 17098, 256, 594, 10093, 1406, 2938, 596, 1472, 1354, 269, 1548, 781, 707, 2012, 9495, 21667, 6743, 936, 693, 23183, 543, 2219, 827, 1018, 547, 2161, 1985, 269, 9701, 1352, 1413, 2476, 21183, 569, 610, 2285, 513, 2656, 32597, 1394, 286, 22582, 267, 1352, 15422, 1945, 1271, 910, 10962, 9887, 256, 1924, 267, 21667, 3576, 513, 2620, 7362, 543, 5189, 9887, 18390, 780, 300, 807, 8604, 6126, 547, 2743, 1200, 543, 5795, 21667, 930, 4388, 593, 799, 3610, 941, 8799, 543, 1018, 15731, 1352, 1522, 2972, 11836, 1310, 1362, 269, 1358, 4166, 2968, 3728, 2828, 543, 8268, 741, 1153, 12406, 1282, 12424, 269, 2755, 6972, 896, 513, 2462, 3529, 267, 21667, 4280, 23183, 1946, 519, 6607, 5654, 4544, 269, 23183, 6045, 602, 6263, 5536, 1572, 6675, 14649, 7943, 883, 1114, 4778, 267, 1818, 938, 6607, 2408, 4544, 1034, 2395, 780, 299, 1075, 344, 4121, 865, 1454, 811, 982, 1175, 4466, 513, 3659, 2221, 282, 1352, 4362, 519, 5898, 540, 7279, 543, 1565, 827, 519, 1158, 649, 2661, 538, 269, 1717, 267, 2663, 602, 10543, 267, 21667, 7691, 602, 1247, 1818, 1007, 2828, 666, 3142, 7772, 267, 3006, 1256, 1434, 2421, 525, 1831, 17149, 269, 769, 1272, 267, 1004, 2097, 543, 979, 267, 855, 1702, 13978, 11014, 267, 9750, 20030, 3564, 5635, 269, 2334, 6397, 20185, 1500, 1200, 5660, 1312, 11505, 543, 3621, 6602, 782, 519, 811, 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, 304, 281, 1432, 798, 596, 798, 950, 596, 2743, 1004, 585, 519, 1101, 942, 286, 476, 589, 269, 7874, 476, 645, 269, 12837, 476, 595, 269, 28551, 476, 667, 269, 6338, 3054, 476, 661, 269, 1413, 936, 476, 634, 1655, 2626, 568, 454, 288, 912, 291, 269, 6338, 3054, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 476, 1015, 281, 8490, 6176, 21290, 630, 289, 8379, 264, 910, 589, 10794, 932, 9734, 538, 14716, 692, 5970, 596, 2479, 16545, 875, 707, 5326, 2777, 1131, 1413, 286, 9894, 596, 2721, 4566, 267, 1500, 2759, 8083, 540, 11647, 267, 610, 1031, 2228, 2645, 547, 14650, 621, 286, 3767, 4952, 952, 972, 729, 513, 1259, 547, 1711, 513, 5691, 2203, 540, 513, 2898, 2679, 1354, 621, 781, 1256, 3710, 256, 2334, 781, 1141, 8490, 6176, 21290, 267, 4122, 1572, 645, 8379, 267, 2501, 538, 269, 898, 781, 899, 2870, 513, 2706, 1673, 564, 9229, 3381, 3014, 4528, 540, 513, 2497, 267, 4543, 3025, 3238, 1294, 4010, 1018, 786, 581, 9112, 269, 2913, 781, 2263, 875, 713, 2029, 568, 4657, 519, 1158, 540, 4070, 2439, 1262, 1432, 568, 645, 8379, 15140, 5331, 2348, 513, 2582, 3059, 2203, 5627, 782, 1344, 827, 513, 2679, 1788, 1107, 6272, 267, 16131, 267, 3790, 267, 543, 811, 269, 901, 7471, 4199, 568, 693, 519, 2295, 540, 8490, 6176, 21290, 610, 645, 8379, 269, 11629, 338, 267, 8030, 267, 543, 25255, 946, 7463, 3301, 547, 12840, 543, 3565, 1239, 2429, 513, 4070, 1788, 779, 29488, 269, 3245, 3355, 25780, 547, 3803, 18953, 267, 645, 8379, 13071, 873, 1544, 21273, 267, 1628, 5488, 267, 543, 2569, 3653, 780, 1262, 3963, 568, 645, 8379, 1271, 15140, 8794, 645, 8379, 5012, 547, 1732, 2792, 1063, 9858, 267, 4020, 832, 267, 543, 5411, 1317, 789, 2671, 513, 1455, 3760, 269, 2060, 4977, 267, 909, 3562, 15082, 3877, 267, 7526, 616, 9575, 2038, 267, 9494, 1312, 2724, 543, 942, 676, 9319, 556, 1740, 269, 3958, 267, 2242, 666, 581, 3362, 7318, 543, 8045, 1282, 4058, 5933, 950, 11941, 723, 8766, 1483, 8996, 4539, 269, 1635, 4227, 6959, 543, 3850, 3608, 2359, 267, 645, 8379, 8309, 3648, 2509, 4264, 1646, 1932, 2439, 265, 7078, 5384, 256, 22177, 4131, 781, 2161, 649, 1616, 547, 1039, 513, 18700, 25047, 13826, 547, 938, 5326, 1753, 2203, 269, 4635, 2757, 2409, 267, 5373, 2242, 1522, 1491, 2395, 267, 3056, 547, 3765, 23890, 610, 9073, 269, 1809, 609, 645, 8379, 267, 649, 3274, 12189, 519, 1374, 1369, 519, 1982, 267, 799, 14678, 10311, 1169, 4299, 3693, 269, 15526, 3238, 12034, 519, 27327, 5612, 267, 1818, 5698, 15774, 543, 1187, 2439, 1262, 1692, 1281, 645, 8379, 3514, 883, 5374, 4070, 15140, 2691, 7231, 609, 1950, 2326, 899, 5374, 267, 8856, 6927, 269, 8729, 547, 645, 8379, 267, 6946, 7293, 3334, 666, 1631, 581, 2966, 267, 9916, 267, 543, 29959, 609, 9058, 6111, 269, 1280, 3236, 267, 5374, 4070, 10909, 8415, 645, 8379, 3631, 547, 5659, 4296, 1063, 1114, 2694, 267, 4180, 18569, 1465, 1247, 10893, 4430, 4496, 6165, 269, 11086, 267, 10128, 645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4648, 666, 2327, 519, 15325, 543, 10727, 540, 3889, 1247, 9363, 1369, 6578, 776, 10148, 269, 6787, 621, 581, 25194, 1949, 610, 632, 9535, 19698, 267, 12920, 6674, 6763, 607, 513, 6325, 4781, 538, 519, 1158, 540, 2571, 6229, 2679, 2326, 269, 0, 21104, 725, 19951, 6023, 513, 16854, 2179, 540, 1239, 267, 609, 2582, 610, 2789, 8320, 540, 519, 3156, 267, 18651, 1154, 873, 609, 4452, 2545, 19188, 563, 15919, 4213, 991, 547, 2196, 513, 1305, 540, 9266, 4238, 602, 723, 547, 581, 5340, 538, 513, 3593, 8400, 607, 513, 2582, 4062, 540, 960, 267, 799, 568, 1572, 513, 3690, 9146, 563, 291, 520, 15390, 8852, 616, 3989, 676, 519, 2185, 3601, 1634, 607, 8028, 2839, 269, 901, 3959, 538, 9103, 1275, 267, 2488, 513, 7271, 547, 2327, 519, 2953, 1145, 543, 11007, 540, 513, 6538, 538, 513, 1259, 971, 602, 1142, 11834, 568, 513, 1895, 540, 4238, 602, 6411, 607, 513, 2582, 1770, 267, 7472, 5812, 2164, 267, 6411, 538, 10072, 689, 824, 4238, 267, 543, 10311, 602, 621, 2306, 616, 546, 12350, 569, 6740, 563, 2467, 4386, 519, 10421, 540, 1210, 519, 6538, 676, 2789, 3755, 585, 7900, 1114, 4238, 267, 543, 538, 602, 2013, 267, 21276, 11056, 540, 519, 6538, 568, 5340, 269, 634, 1772, 15684, 5426, 2636, 596, 547, 4123, 1055, 1239, 8699, 585, 2773, 269, 898, 12857, 513, 1305, 540, 2042, 547, 799, 1114, 11834, 10072, 630, 24038, 264, 4043, 547, 4431, 269, 1924, 519, 21260, 519, 10072, 1377, 267, 519, 811, 22114, 666, 2049, 269, 11374, 616, 1585, 7613, 22114, 666, 2049, 563, 2750, 281, 595, 14008, 693, 11083, 300, 267, 2115, 547, 11198, 606, 2179, 540, 476, 1220, 271, 25773, 269, 1261, 13788, 519, 2179, 267, 543, 519, 3666, 4991, 8242, 607, 476, 4968, 271, 25773, 269, 2311, 519, 1482, 942, 3690, 9146, 476, 273, 6238, 267, 10211, 9819, 585, 519, 2272, 269, 898, 14509, 519, 3666, 607, 476, 4968, 271, 543, 6238, 519, 9819, 269, 1809, 11214, 267, 519, 15639, 693, 519, 2311, 332, 4991, 5066, 20483, 267, 865, 519, 3666, 568, 26871, 1540, 547, 3312, 3666, 607, 476, 4335, 271, 269, 3371, 519, 10211, 9819, 799, 8149, 729, 1759, 593, 519, 3666, 476, 4968, 271, 3079, 540, 476, 4335, 271, 269, 634, 9819, 2179, 786, 581, 11234, 563, 2414, 2061, 18660, 14509, 267, 519, 6538, 2599, 1590, 12404, 9296, 4784, 2242, 689, 782, 824, 21276, 8852, 269, 3962, 11834, 568, 4847, 547, 1294, 922, 1378, 2242, 1317, 6382, 519, 1224, 3917, 712, 268, 1144, 2914, 27866, 11007, 10018, 568, 19847, 269, 1403, 519, 5817, 6538, 3096, 476, 273, 12195, 630, 10521, 268, 4942, 848, 700, 12177, 1070, 519, 9296, 4784, 9343, 616, 6870, 676, 2328, 25437, 799, 2061, 824, 21276, 8852, 689, 2542, 891, 5638, 2394, 789, 616, 8149, 563, 32207, 958, 267, 519, 3367, 1133, 1260, 4784, 10072, 1377, 568, 10355, 2877, 630, 12061, 3613, 2774, 8989, 14511, 1141, 18660, 14509, 616, 11807, 1070, 865, 3367, 8758, 1540, 568, 2356, 519, 9803, 4052, 10072, 1377, 563, 288, 4503, 9337, 1966, 4386, 538, 21276, 8852, 267, 950, 1079, 8852, 2119, 547, 1224, 543, 9337, 519, 1482, 6241, 593, 519, 1482, 4737, 1369, 513, 6538, 693, 519, 1482, 942, 1818, 519, 2418, 540, 519, 3688, 11234, 3976, 1818, 519, 6538, 22522, 563, 2750, 281, 769, 519, 1657, 9183, 267, 972, 6818, 1079, 21276, 8852, 3843, 547, 32259, 7705, 779, 2272, 609, 476, 736, 259, 543, 476, 2004, 10608, 4495, 1312, 519, 8852, 616, 6192, 267, 7705, 779, 2272, 568, 9277, 547, 723, 3666, 607, 476, 1789, 10608, 1809, 1934, 267, 519, 3593, 273, 538, 519, 2034, 11834, 14509, 1152, 519, 8149, 1239, 267, 922, 23387, 519, 1101, 21276, 11834, 814, 3144, 1747, 269, 1306, 513, 1267, 519, 1101, 11834, 4991, 15763, 609, 519, 2034, 11834, 543, 3976, 519, 3803, 3666, 4991, 25619, 563, 763, 8852, 616, 2196, 896, 519, 3367, 8149, 10072, 1377, 799, 568, 9949, 10072, 1377, 585, 14069, 18218, 602, 779, 1946, 621, 3893, 519, 23452, 22352, 2889, 12378, 269, 634, 8852, 1058, 581, 2196, 896, 1022, 540, 519, 2362, 10072, 2157, 971, 607, 29187, 292, 2969, 21764, 318, 3918, 4696, 267, 10965, 2355, 14653, 267, 610, 5395, 658, 14184, 563, 288, 1875, 3146, 701, 23534, 1224, 4386, 267, 950, 1282, 519, 1576, 540, 513, 11834, 267, 513, 4737, 568, 27366, 7466, 543, 519, 2418, 1369, 519, 4737, 8428, 1063, 14509, 563, 5629, 606, 1843, 568, 16041, 883, 3965, 267, 972, 568, 1100, 991, 547, 30321, 621, 689, 519, 6538, 1142, 942, 513, 4759, 568, 15600, 563, 2750, 281, 14597, 538, 3690, 9146, 272, 267, 14871, 14509, 519, 3666, 538, 7585, 779, 2272, 269, 769, 519, 29291, 267, 3690, 9146, 273, 6238, 543, 1776, 3593, 10311, 7585, 779, 2272, 609, 476, 7742, 10608, 1403, 519, 3593, 538, 11834, 476, 272, 1586, 14509, 519, 3666, 585, 7585, 779, 2272, 267, 621, 13098, 1407, 1114, 4737, 2418, 689, 519, 1101, 23023, 563, 15239, 3146, 701, 23534, 3367, 338, 616, 15286, 609, 519, 29187, 292, 2969, 21764, 318, 3918, 4696, 10520, 9146, 10072, 1377, 563, 2252, 519, 1482, 13214, 568, 13401, 7466, 1282, 513, 11834, 267, 855, 519, 1305, 540, 9343, 8428, 267, 513, 943, 656, 558, 1224, 5949, 269, 634, 16934, 9343, 616, 519, 943, 656, 1682, 563, 2750, 281, 3690, 9146, 570, 272, 14509, 513, 1305, 540, 1239, 3688, 17598, 930, 3406, 2783, 269, 3690, 9146, 570, 273, 1287, 5932, 1239, 3688, 602, 14183, 570, 272, 779, 3406, 2783, 543, 862, 1080, 269, 1403, 570, 272, 1287, 28197, 621, 779, 1224, 609, 519, 1482, 3406, 2783, 267, 621, 4991, 513, 1305, 540, 1239, 3688, 1114, 689, 519, 1101, 1224, 563, 4942, 656, 558, 3367, 338, 616, 15286, 609, 519, 590, 2207, 24361, 22003, 21764, 10072, 1377, 2687, 547, 519, 4888, 10485, 14069, 268, 10844, 3044, 563, 2080, 568, 606, 7650, 540, 799, 11834, 10072, 2157, 2061, 799, 1224, 9259, 281, 0, 1103, 3210, 547, 7917, 1325, 614, 779, 5339, 9880, 540, 589, 26626, 540, 5565, 20079, 267, 594, 6038, 3858, 547, 1010, 6811, 585, 519, 1034, 851, 269, 1261, 6227, 1082, 16367, 16431, 267, 2523, 1010, 4276, 609, 14334, 543, 1769, 2429, 519, 3209, 269, 1325, 614, 2488, 8101, 2963, 689, 1114, 5339, 3344, 607, 2938, 998, 1010, 12633, 908, 6898, 547, 14334, 543, 1769, 1373, 513, 11342, 3693, 2429, 519, 3209, 269, 13507, 1227, 267, 646, 9727, 2963, 998, 9001, 5515, 547, 2099, 519, 1523, 540, 1769, 8957, 14334, 563, 2690, 1383, 267, 646, 19776, 5333, 779, 5260, 698, 2044, 547, 4789, 779, 7768, 1533, 267, 18211, 7095, 15746, 547, 519, 26454, 540, 3943, 27998, 267, 543, 8496, 877, 4347, 1618, 779, 642, 3188, 995, 27606, 547, 7323, 1160, 1087, 779, 1697, 3239, 607, 513, 25432, 268, 7609, 539, 4807, 269, 1325, 614, 607, 1134, 2488, 2500, 1489, 998, 5542, 540, 1469, 267, 607, 2938, 538, 1010, 21849, 2963, 267, 11744, 519, 4998, 540, 1769, 543, 14334, 20849, 609, 835, 1776, 538, 519, 6429, 8220, 16362, 2494, 8291, 779, 24788, 748, 19802, 547, 519, 3057, 638, 529, 779, 2631, 540, 519, 19717, 540, 14334, 269, 1325, 614, 779, 31417, 4296, 1683, 8101, 11413, 538, 519, 1909, 540, 14334, 543, 1769, 547, 519, 960, 607, 513, 2898, 563, 296, 2523, 5660, 1010, 24813, 7664, 540, 1769, 543, 14334, 543, 875, 3294, 7028, 513, 7986, 21044, 5048, 540, 519, 3209, 267, 799, 568, 602, 14334, 27499, 1769, 543, 10063, 806, 811, 14334, 269, 1261, 6707, 7028, 1010, 3409, 7234, 519, 1689, 540, 2295, 540, 519, 18008, 4961, 267, 4929, 873, 547, 1831, 10795, 4838, 2456, 269, 1325, 614, 607, 1134, 2488, 606, 23349, 543, 9058, 5813, 593, 519, 1909, 540, 4984, 543, 875, 621, 568, 513, 11342, 3693, 2429, 519, 3209, 269, 1261, 31234, 519, 2856, 540, 519, 2185, 12316, 818, 5459, 1235, 12633, 908, 547, 519, 13400, 9661, 540, 646, 9050, 21696, 5443, 540, 519, 7442, 5914, 2988, 572, 269, 901, 568, 513, 1360, 4052, 3948, 607, 519, 9661, 540, 519, 9050, 21696, 5443, 540, 519, 7442, 5914, 2988, 572, 31426, 547, 519, 4755, 902, 540, 519, 26093, 3943, 7169, 267, 855, 1175, 693, 513, 4130, 4336, 269, 1306, 28726, 6257, 519, 29278, 540, 519, 9552, 267, 646, 27711, 513, 2631, 540, 606, 3284, 32565, 4259, 267, 23401, 519, 10969, 566, 538, 519, 13400, 9661, 540, 519, 9050, 21696, 5443, 269, 594, 607, 1134, 23507, 1325, 614, 779, 23349, 11556, 3823, 519, 1198, 540, 4550, 268, 22146, 640, 10838, 3943, 4838, 2456, 269, 1261, 2488, 16022, 21374, 1063, 1082, 12572, 20825, 538, 519, 3209, 543, 8567, 563, 2704, 614, 9727, 519, 10373, 10486, 1063, 519, 3444, 543, 519, 1368, 650, 13534, 267, 632, 25977, 519, 1368, 650, 13534, 519, 11599, 3090, 585, 519, 10153, 1081, 2456, 685, 4550, 268, 22146, 4984, 269, 1261, 2488, 8101, 1489, 1210, 17638, 14295, 517, 779, 2669, 585, 1010, 2828, 593, 519, 1368, 650, 13534, 267, 547, 6542, 519, 9756, 547, 4906, 2441, 779, 16961, 32267, 542, 593, 519, 3444, 12955, 585, 8103, 269, 1325, 614, 607, 1134, 16621, 14295, 517, 779, 10839, 693, 519, 1439, 547, 3927, 1489, 1010, 3409, 267, 1141, 14295, 517, 693, 519, 1490, 1074, 540, 2669, 2829, 267, 968, 307, 600, 519, 24446, 543, 519, 1272, 630, 4200, 1070, 892, 9591, 513, 2631, 540, 2820, 6541, 585, 5128, 267, 2147, 547, 4906, 2441, 563, 8601, 1325, 614, 30286, 1082, 16367, 2798, 267, 594, 2705, 798, 711, 3858, 593, 1010, 25197, 566, 267, 19101, 602, 519, 3197, 540, 519, 3209, 616, 8806, 513, 6281, 3334, 547, 519, 3209, 267, 1247, 519, 4890, 20825, 5097, 2992, 519, 17198, 540, 519, 3209, 607, 513, 2898, 269, 901, 568, 513, 1360, 22394, 543, 24813, 25195, 267, 855, 547, 1250, 1620, 646, 3085, 1406, 1294, 519, 3197, 1713, 547, 519, 2495, 602, 8176, 28726, 6663, 547, 1459, 538, 1010, 968, 3966, 528, 4821, 269, 9232, 901, 568, 7357, 2150, 4902, 607, 3197, 2429, 519, 3209, 21843, 2362, 2495, 982, 875, 789, 2461, 17814, 538, 519, 3209, 563, 2690, 1383, 267, 519, 3057, 638, 529, 4564, 606, 3003, 26568, 18211, 7100, 9013, 2486, 543, 519, 4838, 2456, 4564, 606, 3003, 9097, 1062, 14053, 6963, 269, 901, 25197, 566, 676, 1325, 614, 607, 1134, 17591, 338, 1082, 540, 1010, 16367, 2079, 267, 5473, 519, 1909, 540, 519, 3209, 779, 1915, 971, 607, 1010, 6476, 1063, 17638, 14295, 517, 543, 4906, 2441, 267, 799, 568, 513, 7986, 4998, 269, 594, 2705, 798, 3858, 593, 1010, 11556, 602, 28726, 729, 14955, 1356, 2740, 609, 519, 4890, 1686, 540, 519, 3943, 7169, 607, 646, 2731, 8179, 547, 946, 519, 4259, 547, 6542, 5837, 13313, 538, 519, 3068, 540, 14488, 563, 1607, 568, 10423, 538, 519, 2079, 676, 11184, 6276, 674, 269, 15537, 267, 1141, 646, 10645, 602, 28726, 4769, 1406, 723, 1022, 1991, 1702, 547, 519, 3943, 7169, 1354, 1603, 589, 26626, 540, 5565, 20079, 630, 3721, 1156, 267, 476, 2641, 1040, 1261, 5206, 827, 875, 519, 4259, 729, 1031, 547, 6655, 513, 2178, 2631, 540, 7553, 630, 3721, 1156, 267, 476, 2641, 1040, 14755, 1325, 614, 779, 20060, 839, 673, 25197, 566, 540, 519, 1202, 20138, 766, 540, 519, 3209, 779, 3197, 267, 7917, 1325, 614, 2488, 513, 1360, 16367, 543, 16022, 2079, 540, 589, 26626, 540, 5565, 20079, 609, 8101, 2963, 547, 1489, 1010, 6811, 563, 3891, 6799, 24077, 8343, 540, 519, 3209, 10489, 2056, 2609, 602, 2491, 519, 4514, 2495, 540, 519, 3209, 607, 513, 2898, 269, 15788, 267, 646, 1281, 513, 9425, 7850, 2816, 543, 2488, 513, 1175, 16666, 29459, 269, 769, 808, 293, 16803, 779, 5339, 9880, 267, 646, 5544, 7547, 1010, 8561, 593, 519, 17299, 640, 540, 20849, 4229, 17814, 538, 589, 26626, 540, 5565, 20079, 269, 1280, 3236, 267, 16803, 3217, 1445, 593, 30137, 2453, 543, 6698, 538, 519, 3209, 899, 968, 1492, 1655, 540, 2053, 892, 543, 968, 342, 528, 560, 540, 2053, 267, 607, 1134, 607, 968, 1492, 2085, 540, 7326, 892, 543, 968, 1492, 2085, 540, 18174, 880, 1145, 2223, 855, 1034, 30326, 267, 646, 3746, 2478, 513, 1804, 9756, 540, 14334, 543, 1769, 2429, 28726, 779, 3209, 563, 295, 15071, 31234, 602, 519, 25559, 532, 16431, 1711, 513, 3702, 1113, 19433, 267, 11744, 519, 9860, 540, 1769, 543, 14334, 2429, 519, 1576, 540, 1686, 269, 1261, 6544, 1161, 513, 19433, 1063, 4789, 543, 5333, 267, 28110, 811, 2523, 547, 519, 2298, 540, 741, 1698, 8558, 945, 7703, 3309, 8186, 1115, 269, 4789, 4564, 1769, 607, 621, 10525 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20552, 626, 3350, 543, 1865, 1946, 4974, 1010, 19359, 543, 1382, 2326, 666, 10802, 938, 1620, 540, 519, 26789, 21805, 543, 8474, 269, 1635, 3695, 7313, 1961, 781, 4296, 547, 1883, 5515, 543, 2621, 540, 519, 942, 267, 649, 786, 3715, 513, 2178, 5748, 585, 2417, 1353, 780, 12244, 281, 21302, 513, 5542, 540, 5022, 1063, 7313, 1961, 543, 8037, 20552, 1235, 269, 10576, 3838, 4798, 267, 9840, 267, 543, 2994, 1031, 538, 741, 4339, 1996, 8474, 269, 9181, 875, 891, 6054, 3565, 547, 707, 8223, 540, 519, 3140, 2796, 780, 306, 11970, 5565, 281, 17959, 543, 4886, 540, 519, 26789, 21805, 692, 1607, 8400, 786, 2263, 519, 8129, 543, 4720, 540, 519, 26789, 21805, 267, 606, 13016, 3060, 540, 5728, 11507, 543, 2922, 8075, 3964, 547, 948, 10437, 9101, 689, 519, 3162, 547, 5191, 538, 519, 3345, 543, 4516, 269, 4841, 786, 1451, 827, 519, 1004, 3238, 267, 741, 18144, 267, 543, 519, 2591, 789, 5185, 269, 3958, 267, 649, 786, 8495, 519, 1764, 540, 3909, 4978, 267, 5837, 2418, 267, 543, 2797, 19237, 593, 519, 5250, 540, 519, 26789, 21805, 780, 12244, 281, 5071, 513, 3308, 15415, 16439, 519, 1646, 540, 519, 26789, 21805, 267, 6220, 1713, 19325, 267, 2043, 267, 543, 13685, 5018, 538, 7313, 1961, 781, 19359, 269, 14484, 593, 875, 7313, 1961, 781, 9525, 538, 519, 4550, 1606, 18561, 3350, 949, 723, 6766, 1010, 1719, 538, 8497, 2326, 1644, 547, 519, 26789, 21805, 780, 306, 11970, 8422, 281, 5020, 896, 26913, 692, 2414, 4628, 5660, 519, 4644, 540, 519, 26789, 21805, 267, 621, 568, 1898, 547, 1174, 519, 22266, 4641, 540, 8474, 269, 769, 713, 8400, 267, 649, 786, 4983, 3232, 1272, 585, 20665, 2367, 267, 2021, 267, 543, 1453, 267, 7234, 3584, 971, 607, 4074, 2175, 267, 2713, 12417, 267, 22686, 3347, 267, 543, 4187, 3646, 269, 14301, 2390, 7313, 1961, 781, 31150, 2200, 267, 649, 786, 5659, 3119, 2707, 6589, 2854, 676, 5449, 10437, 267, 20552, 1235, 267, 543, 17631, 780, 12244, 281, 7994, 606, 21626, 689, 513, 4484, 610, 8313, 1369, 7313, 1961, 781, 4015, 10503, 519, 2833, 540, 606, 23012, 10553, 269, 8073, 513, 19180, 6881, 20515, 519, 1367, 781, 1650, 267, 5373, 4296, 547, 6626, 2152, 4478, 8474, 269, 9523, 707, 4681, 609, 519, 1362, 543, 4497, 538, 513, 1895, 4901, 827, 1455, 9620, 543, 6411, 540, 4187, 1851, 20665, 9082, 780, 306, 11970, 9050, 281, 589, 2513, 819, 1143, 543, 4706, 8177, 692, 288, 2513, 819, 1143, 7153, 607, 513, 3532, 3196, 6131, 547, 10678, 8474, 538, 519, 2136, 2276, 269, 769, 713, 8400, 267, 1053, 786, 4983, 1585, 3029, 540, 20552, 626, 17933, 267, 1519, 18531, 267, 3332, 267, 4620, 1431, 267, 543, 1463, 2962, 269, 5047, 267, 649, 786, 2015, 519, 3309, 5044, 540, 20552, 1235, 1765, 18485, 3109, 543, 3043, 267, 5256, 543, 4775, 1765, 15367, 10692, 24091, 585, 31414, 269, 4635, 7313, 1961, 781, 5330, 1878, 267, 649, 786, 10250, 519, 3310, 540, 891, 5322, 593, 1857, 6644, 267, 9086, 267, 543, 6038, 267, 519, 1439, 540, 3656, 1242, 8474, 780, 12244, 281, 4354, 622, 513, 3059, 14266, 10023, 2947, 9565, 20552, 1235, 6537, 689, 7313, 1961, 781, 21287, 269, 1280, 1142, 4137, 267, 2824, 1079, 3688, 8204, 1114, 18125, 540, 741, 2729, 610, 7418, 547, 519, 2014, 269, 3629, 513, 5618, 2079, 8220, 1142, 31074, 547, 3677, 4798, 1369, 519, 20552, 626, 3350, 269, 10558, 707, 14266, 547, 519, 1362, 267, 4553, 676, 513, 1627, 26031, 8400, 780, 306, 11970, 12866, 281, 25608, 543, 22684, 692, 16729, 519, 6406, 2782, 543, 661, 2006, 322, 11692, 1160, 17474, 267, 3979, 4892, 4810, 1312, 16012, 22624, 543, 4797, 7130, 269, 769, 713, 3803, 8400, 267, 649, 786, 6218, 519, 18454, 543, 14286, 540, 25608, 4507, 6322, 693, 556, 15759, 7992, 519, 20752, 2829, 543, 3246, 3160, 2924, 547, 9241, 15685, 10437, 269, 5015, 267, 649, 786, 2708, 519, 5571, 9371, 540, 8474, 543, 519, 26789, 21805, 538, 2413, 2486, 267, 6236, 4207, 5198, 1894, 267, 3872, 13103, 267, 543, 7803, 5126, 6963, 780, 12244, 281, 1290, 2821, 513, 10388, 1566, 24737, 19163, 585, 1065, 25730, 610, 1776, 1106, 540, 2699, 816, 585, 18939, 540, 10437, 1759, 593, 2963, 689, 7313, 1961, 781, 21287, 543, 2487, 4081, 14172, 269, 4347, 754, 707, 2990, 676, 19696, 1808, 8320, 540, 2229, 32226, 267, 11528, 10168, 267, 610, 14227, 8635, 5532, 547, 8474, 543, 922, 21987, 269, 4427, 2466, 707, 4062, 585, 9263, 2689, 267, 1287, 23590, 543, 13217, 707, 4661, 1759, 593, 5955, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 22437, 1961, 267, 5261, 19291, 267, 476, 9264, 272, 268, 6245, 275, 454, 268, 1401, 14571, 281, 476, 9264, 272, 910, 476, 6245, 275, 454, 28062, 538, 476, 275, 26888, 543, 5924, 19475, 912, 17357, 22046, 775, 267, 12591, 543, 1382, 2326, 19632, 676, 9628, 5398, 7732, 8783, 7172, 4115, 267, 14161, 645, 269, 14339, 523, 269, 3194, 2326, 1331, 11356, 804, 2089, 902, 267, 19359, 267, 543, 12326, 7282, 610, 30363, 676, 5261, 674, 269, 7313, 1961, 563, 763, 1715, 9440, 7732, 781, 12250, 5638, 267, 5638, 540, 519, 19124, 700, 269, 1715, 9440, 10040, 267, 2123, 4574, 540, 5234, 2818, 543, 3972, 4315, 267, 11147, 267, 543, 12326, 602, 3561, 519, 10661, 543, 5106, 540, 519, 5399, 267, 922, 2208, 543, 7004, 936, 942, 267, 543, 922, 3742, 7589, 538, 519, 2686, 543, 7214, 1272, 540, 9628, 543, 519, 4182, 269, 4746, 1344, 593, 519, 1715, 9440, 1920, 543, 3959, 1646, 538, 9628, 563, 1103, 11079, 5097, 7313, 1961, 781, 19670, 543, 856, 4707, 19359, 1247, 20157, 4115, 693, 519, 1715, 9440, 269, 4746, 2882, 930, 5359, 267, 8357, 7701, 267, 1433, 29812, 267, 543, 1045, 7860, 269, 1715, 9440, 7732, 11889, 19359, 4145, 1035, 336, 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, 8466, 1315, 2136, 2276, 1315, 476, 866, 628, 11416, 1315, 26789, 21805, 543, 26913, 630, 5197, 271, 338, 1040, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 15215, 267, 29960, 267, 543, 12791, 5336, 1136, 281, 1323, 16709, 540, 14740, 543, 20828, 998, 519, 5871, 13335, 4828, 692, 7072, 1384, 1103, 2221, 781, 1950, 1158, 267, 1762, 4079, 616, 5185, 609, 3875, 3664, 3823, 741, 2069, 267, 4876, 10092, 267, 543, 2123, 2418, 269, 1306, 789, 7832, 593, 713, 3460, 267, 1082, 2490, 547, 4984, 543, 17035, 585, 5583, 543, 1489, 269, 769, 713, 1576, 1770, 267, 649, 786, 2263, 875, 519, 5871, 13335, 1557, 666, 4196, 607, 513, 3760, 585, 1582, 22523, 267, 2495, 6194, 267, 543, 3483, 8446, 1369, 519, 2796, 540, 3909, 4978, 543, 2853, 269, 3414, 513, 3126, 540, 2502, 5717, 543, 14436, 5751, 267, 596, 786, 1451, 547, 24808, 707, 2189, 1650, 543, 1921, 621, 547, 6626, 2686, 543, 6848, 2152, 269, 1635, 6313, 7986, 6436, 538, 13508, 543, 6530, 267, 649, 786, 849, 2015, 875, 891, 5380, 1522, 1217, 938, 1935, 547, 3695, 4984, 538, 519, 2796, 540, 2362, 2069, 3156, 780, 296, 269, 17461, 281, 4197, 519, 10020, 540, 15215, 538, 9608, 4886, 454, 288, 269, 634, 28249, 1275, 540, 15215, 267, 9177, 267, 543, 8682, 3125, 454, 289, 269, 7351, 12367, 538, 20154, 640, 7324, 8479, 20661, 454, 290, 269, 3194, 28454, 593, 9671, 6685, 543, 4270, 7424, 454, 291, 269, 11879, 19047, 1879, 9181, 532, 16241, 27801, 338, 543, 13756, 692, 2862, 269, 32653, 476, 272, 910, 17461, 267, 14740, 267, 9314, 267, 610, 13669, 550, 281, 24167, 2659, 23433, 17714, 454, 288, 269, 20223, 6206, 16301, 281, 17461, 267, 14740, 267, 9314, 267, 543, 13669, 550, 454, 289, 269, 14484, 532, 593, 4813, 894, 23800, 543, 5020, 15638, 454, 290, 269, 23889, 16241, 27801, 338, 883, 15881, 2510, 540, 12618, 543, 26306, 454, 291, 269, 8865, 5530, 5811, 281, 21988, 10241, 540, 9671, 13124, 5606, 4310, 12267, 454, 292, 269, 19078, 13832, 585, 19457, 11576, 1438, 6176, 692, 7656, 269, 32653, 476, 273, 910, 28304, 12694, 281, 19484, 18321, 9197, 2478, 543, 15531, 26504, 454, 288, 269, 17291, 26861, 8163, 538, 2290, 781, 16241, 11202, 454, 289, 269, 10515, 532, 11150, 543, 8081, 7010, 454, 290, 269, 16497, 3231, 2740, 543, 10341, 717, 7134, 454, 291, 269, 5675, 9669, 585, 14958, 532, 3281, 2454, 4414, 18277, 12267, 454, 292, 269, 21344, 23977, 1676, 1464, 543, 4039, 520, 1464, 538, 9608, 15881, 2510, 692, 4353, 269, 32653, 476, 274, 910, 7726, 532, 513, 27801, 610, 22830, 281, 12056, 538, 4790, 10614, 15511, 6168, 2552, 7337, 658, 12983, 454, 288, 269, 10088, 2286, 12474, 1190, 11762, 609, 27919, 543, 7046, 1145, 454, 289, 269, 3203, 545, 6819, 667, 10308, 5733, 543, 2549, 15927, 340, 885, 10738, 2290, 781, 2622, 1613, 454, 290, 269, 16418, 532, 4934, 13038, 21126, 543, 16871, 29203, 454, 291, 269, 4004, 21899, 715, 340, 2331, 7348, 9557, 1510, 1325, 1329, 908, 22419, 454, 292, 269, 14301, 2390, 31999, 18623, 1222, 543, 7464, 28131, 6201, 692, 309, 269, 32653, 476, 275, 910, 2561, 3285, 908, 606, 14118, 1113, 12287, 281, 20876, 22895, 832, 543, 10020, 17738, 454, 288, 269, 17291, 31056, 22955, 538, 2659, 16241, 7991, 454, 289, 269, 2677, 21564, 4256, 8177, 593, 2659, 18880, 543, 17423, 10435, 454, 290, 269, 5890, 7675, 6182, 520, 3363, 543, 1520, 18029, 566, 24956, 1227, 454, 291, 269, 3680, 532, 670, 698, 25086, 543, 16740, 565, 1436, 454, 292, 269, 595, 1746, 17796, 543, 21278, 12745, 585, 8466, 543, 8836, 13129, 18745, 692, 9654, 269, 32653, 476, 276, 910, 17992, 894, 7926, 281, 12650, 1005, 16474, 757, 540, 7827, 543, 12618, 454, 288, 269, 31692, 5109, 9737, 18103, 2435, 12769, 584, 18384, 543, 623, 643, 4973, 5695, 940, 18745, 454, 289, 269, 32274, 12472, 538, 23539, 18963, 543, 10263, 454, 290, 269, 31209, 532, 15474, 3004, 915, 1559, 543, 8892, 17644, 454, 291, 269, 4635, 5450, 777, 1817, 267, 29526, 267, 543, 22569, 2044, 547, 28389, 27884, 454, 292, 269, 6380, 8948, 8973, 4762, 7808, 640, 543, 21041, 2755, 19457, 2271, 1493, 19672, 692, 23997, 269, 32653, 476, 277, 910, 9314, 610, 20122, 2421, 2334, 23512, 2231, 4804, 281, 15766, 908, 1215, 10426, 687, 3657, 21912, 547, 20828, 454, 288, 269, 20710, 3101, 519, 19147, 1063, 14288, 543, 3213, 4211, 584, 14152, 11242, 454, 289, 269, 23227, 908, 3493, 628, 540, 8758, 618, 543, 25827, 4354, 6685, 454, 290, 269, 16503, 7992, 22627, 1063, 2274, 15370, 569, 623, 2720, 7057, 543, 19396, 1306, 2869, 725, 454, 291, 269, 5548, 1324, 883, 11096, 28441, 543, 26874, 17435, 5014, 540, 932, 4923, 12815, 1307, 454, 292, 269, 8058, 322, 2084, 15557, 267, 21664, 267, 543, 19541, 538, 13565, 7736, 324, 822, 832, 692, 309, 7656, 269, 32653, 476, 278, 910, 5131, 13445, 281, 21150, 1046, 532, 593, 513, 11300, 31660, 454, 288, 269, 27588, 513, 9608, 1242, 769, 11431, 5741, 454, 289, 269, 16522, 1127, 1944, 29362, 21661, 19881, 8871, 14186, 454, 290, 269, 3752, 545, 1746, 24720, 689, 3212, 619, 543, 22895, 832, 454, 291, 269, 3798, 1746, 543, 2717, 5109, 15937, 15733, 454, 292, 269, 4427, 2466, 1154, 10241, 609, 29233, 543, 4165, 4602, 566, 692, 6962, 1384, 2026, 23576, 2429, 713, 1576, 1770, 267, 7234, 4984, 538, 519, 2796, 540, 519, 5871, 13335, 1557, 3091, 15792, 3255, 585, 8086, 267, 2208, 267, 543, 4276, 269, 6787, 596, 3442, 547, 5490, 883, 24233, 2833, 267, 6330, 5132, 16839, 267, 4497, 538, 2565, 11407, 267, 2769, 14696, 267, 2671, 7432, 2798, 267, 10625, 6402, 1063, 18653, 543, 5301, 267, 610, 7832, 593, 3860, 18697, 267, 3314, 602, 707, 5639, 6927, 543, 814, 519, 1761, 547, 8300, 1866, 269, 5047, 267, 1373, 13533, 540, 5683, 4808, 543, 1655, 2853, 5849, 602, 707, 2984, 13469, 7184, 1247, 18245, 6302, 543, 5009, 8994, 1620, 269, 11086, 267, 13167, 8903, 6386, 12082, 538, 2538, 6685, 6087, 596, 547, 6542, 15657, 267, 6043, 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 ]
[ 10549, 538, 519, 12636, 267, 25637, 267, 19704, 543, 3952, 547, 1831, 17303, 1799, 984, 28895, 610, 19526, 269, 901, 1799, 984, 1006, 666, 2663, 1291, 547, 18212, 9964, 3676, 1813, 547, 28115, 894, 3441, 547, 519, 28844, 543, 28587, 630, 1492, 3889, 602, 12622, 6091, 547, 7633, 1916, 4692, 7555, 585, 1279, 5712, 540, 942, 10413, 707, 3952, 888, 18184, 532, 593, 707, 3952, 585, 1279, 5712, 540, 942, 666, 2014, 2566, 543, 1928, 538, 707, 3952, 269, 2659, 2898, 1560, 949, 1995, 1689, 538, 2474, 540, 14302, 267, 1394, 1928, 267, 536, 684, 687, 267, 1289, 11817, 543, 610, 2030, 541, 530, 11301, 269, 1703, 616, 2081, 547, 2057, 891, 2175, 609, 1697, 3723, 1416, 267, 5100, 5079, 543, 2953, 14302, 563, 1692, 1082, 3108, 1058, 596, 1796, 513, 1554, 888, 32546, 723, 1336, 602, 596, 1058, 2119, 547, 1796, 585, 693, 2547, 476, 273, 3108, 829, 1554, 267, 855, 909, 547, 476, 275, 3108, 829, 1554, 1223, 581, 6099, 269, 901, 1522, 3100, 899, 513, 2603, 267, 855, 972, 616, 6266, 540, 2081, 596, 666, 3514, 7555, 883, 707, 1554, 563, 1432, 7555, 782, 1554, 1281, 547, 707, 1560, 888, 6097, 547, 519, 595, 4596, 9391, 1867, 267, 12675, 7555, 3927, 6971, 519, 1973, 3761, 547, 519, 6091, 4611, 538, 519, 10231, 540, 519, 12614, 540, 9854, 543, 3123, 1928, 538, 519, 6091, 540, 519, 7953, 267, 1394, 543, 8405, 267, 607, 1134, 607, 7535, 532, 540, 1973, 538, 519, 7953, 543, 3952, 799, 5012, 547, 15254, 545, 846, 15532, 563, 1432, 1281, 7555, 585, 476, 279, 3108, 798, 547, 707, 1560, 888, 10376, 942, 596, 798, 602, 267, 596, 616, 4758, 707, 1560, 513, 968, 6588, 13901, 17003, 2223, 22348, 621, 540, 519, 1198, 540, 8904, 267, 799, 666, 948, 6091, 543, 7633, 3251, 2178, 269, 21846, 532, 707, 14302, 610, 3001, 1472, 476, 3953, 2053, 829, 476, 279, 1700, 1015, 16923, 960, 1554, 666, 948, 2226, 513, 2635, 1973, 2604, 563, 3674, 6972, 1732, 982, 7555, 888, 15987, 7555, 9090, 568, 513, 1732, 4356, 982, 9361, 267, 6972, 568, 1732, 982, 7555, 269, 1280, 606, 3328, 2937, 267, 7555, 1131, 6633, 827, 476, 5002, 8477, 538, 606, 5662, 1247, 9361, 1131, 1152, 6633, 476, 9873, 543, 1131, 849, 3565, 547, 3170, 4859, 269, 2201, 519, 824, 1688, 267, 6972, 666, 6633, 909, 547, 476, 17168, 8477, 538, 519, 1482, 942, 563, 1692, 1454, 7555, 568, 1932, 1454, 888, 6097, 547, 1007, 1382, 267, 621, 7140, 856, 602, 968, 335, 1503, 784, 539, 7555, 892, 568, 3983, 585, 721, 267, 1932, 269, 634, 1353, 2443, 799, 729, 5342, 676, 3744, 689, 4354, 339, 514, 2160, 538, 5245, 2443, 1336, 602, 4079, 945, 11542, 585, 476, 273, 3108, 1247, 2324, 4810, 606, 2333, 538, 2898, 23073, 9636, 543, 513, 4389, 2790, 1533, 563, 1432, 4523, 952, 596, 1796, 909, 585, 1932, 1279, 888, 2691, 7555, 4386, 16111, 936, 12675, 5712, 267, 621, 666, 1267, 538, 6553, 540, 519, 15532, 269, 901, 6553, 949, 3356, 936, 942, 547, 5312, 543, 11213, 15254, 545, 846, 15532, 269, 28246, 7555, 849, 3123, 519, 10549, 538, 519, 12636, 267, 25637, 267, 19704, 543, 3952, 547, 1831, 17303, 1799, 984, 28895, 610, 19526, 563, 1432, 568, 2808, 12675, 7555, 888, 303, 1503, 784, 539, 7555, 729, 3989, 607, 7555, 585, 936, 476, 279, 3108, 1496, 278, 267, 279, 267, 280, 4940, 5525, 941, 5258, 883, 1614, 6688, 11341, 547, 519, 1880, 1072, 1981, 2404, 609, 12675, 7555, 563, 3674, 621, 8902, 547, 1796, 610, 1694, 888, 763, 18370, 269, 14755, 1447, 9361, 942, 267, 7555, 693, 960, 814, 824, 2640, 281, 2859, 8477, 14616, 281, 2290, 1353, 4951, 602, 7555, 24259, 476, 6434, 8477, 606, 5662, 267, 3379, 547, 476, 3199, 8477, 585, 9361, 269, 29303, 17236, 513, 2603, 811, 2443, 476, 13975, 8477, 606, 5662, 563, 9989, 7555, 1628, 1850, 4887, 888, 18184, 532, 568, 1732, 585, 519, 1394, 982, 9361, 269, 898, 18791, 1850, 6091, 543, 10607, 3666, 269, 898, 17236, 811, 8477, 982, 9361, 269, 898, 568, 849, 513, 1390, 1884, 573, 1774, 547, 519, 5250, 540, 1973, 28163, 2620, 538, 519, 7953, 563, 4692, 7555, 1932, 1454, 2014, 12597, 1928, 888, 29012, 267, 2090, 1397, 12675, 7555, 711, 1152, 17613, 707, 7953, 267, 19704, 543, 2539, 1394, 267, 621, 666, 849, 1291, 547, 15254, 545, 846, 15532, 267, 4745, 3441, 543, 10009, 2152, 269, 2755, 596, 991, 547, 581, 593, 707, 3952, 547, 4001, 267, 596, 666, 6451, 2994, 547, 8897, 519, 8833, 563, 1432, 4523, 950, 596, 1796, 585, 476, 277, 3108, 888, 293, 5357, 299, 8582, 2475, 10396, 912, 763, 3173, 1336, 602, 7555, 14616, 476, 271, 269, 1428, 8477, 630, 330, 322, 1023, 264, 829, 8792, 811, 982, 9361, 269, 1635, 2655, 23082, 7555, 585, 9361, 585, 3670, 3108, 513, 1554, 267, 513, 476, 16960, 269, 274, 1790, 895, 2937, 1131, 13358, 606, 3063, 476, 7918, 8477, 630, 330, 322, 1023, 264, 538, 3670, 3108, 563, 1692, 1082, 3108, 513, 1554, 1058, 596, 581, 593, 707, 3952, 888, 763, 9059, 1297, 568, 1079, 3108, 540, 7555, 610, 3001, 1472, 3079, 540, 9361, 829, 1554, 267, 2160, 540, 24368, 3173, 2161, 563, 1692, 666, 594, 1796, 1279, 3108, 1510, 1928, 888, 278, 4388, 585, 12675, 7555, 454, 268, 23203, 6899, 267, 1134, 1922, 9231, 10887, 609, 513, 1970, 24933, 269, 6693, 268, 23203, 1489, 25652, 610, 26852, 269, 6693, 268, 23203, 513, 561, 29856, 1489, 12966, 543, 7794, 707, 2612, 269, 6693, 268, 19321, 1434, 14302, 269, 6693, 268, 8844, 1472, 547, 5351, 538, 10009, 269, 6693, 268, 13773, 1134, 19872, 269, 6693, 268, 8210, 12455, 5669, 11226, 269, 6693, 268, 476, 278, 4388, 585, 12675, 7555, 563, 1692, 666, 594, 1118, 7555, 811, 6899, 888, 19522, 547, 948, 596, 1205, 1031, 547, 7555, 585, 1279, 5712, 540, 942, 454, 268, 23203, 1697, 31321, 269, 6693, 268, 2422, 1697, 1489, 26852, 610, 25652, 269, 6693, 268, 853, 4958, 577, 543, 1847, 269, 6693, 268, 19321, 1697, 14302, 269, 6693, 268, 8844, 707, 17525, 269, 6693, 268, 1744, 820, 1919, 856, 269, 6693, 268, 11644, 269, 6693, 268, 13773, 19872, 563, 1692, 666, 594, 1118, 7555, 782, 1554, 4443, 888, 2419, 331, 4141, 3397, 340, 1791, 267, 513, 30561, 2657, 2168, 13309, 267, 8843, 891, 4388, 547, 1118, 2324, 593, 707, 3952, 4443, 563, 268, 23203, 1434, 10887, 269, 1403, 972, 779, 4376, 596, 1058, 581, 7836, 513, 2603, 540, 2724, 593, 621, 779, 513, 1434, 21489, 269, 6693, 268, 2422, 1434, 14302, 693, 960, 269, 5213, 1406, 9376, 707, 19704, 950, 7555, 269, 6693, 268, 8844, 693, 960, 269, 1452, 2241, 18902, 951, 666, 948, 563, 1692, 666, 594, 1118, 1250, 3952, 10413, 1447, 693, 960, 888, 276, 9669, 585, 3680, 532, 14272, 10266, 693, 4518, 454, 268, 16179, 519, 7454, 1744, 3996, 269, 898, 568, 1271, 547, 4444, 1164, 7779, 10887, 547, 5957, 547, 960, 950, 596, 616, 538, 513, 3924, 1141, 596, 1796, 513, 2603, 269, 6693, 268, 661, 1186, 558, 17865, 269, 1924, 752, 707, 3952, 538, 661, 1186, 558, 6070, 693, 519, 1439, 540, 519, 1554, 269, 6693, 268, 853, 4958, 577, 2659, 32243, 269, 6693, 268, 4676, 2716, 1108, 7136, 720, 269, 6693, 268, 717, 601, 590, 4169, 563, 1432, 2337, 12597, 1928, 689, 7555, 782, 1554, 888, 2710, 946, 968, 305, 21201, 1848, 10163, 267, 4672, 267, 13496, 267, 543, 15038, 630, 305, 21201, 264, 568, 1434, 585, 12597, 1928, 3361, 676, 513, 5634, 5945, 610, 606, 12263, 27506, 269, 12315, 707, 12597, 930, 1964, 267, 4019, 4672, 547, 2569, 11926, 267, 5957, 513, 735, 4809, 6512, 720, 267, 543, 1832, 707, 12597, 11506, 269, 5213, 1406, 26777, 707, 2597, 563, 1432, 2306, 707, 3952, 10413, 950, 596, 1796, 909, 888, 24456, 541, 535, 30913, 4345, 4122, 3123, 588, 629, 6883, 1928, 602, 2356, 4386, 609, 707, 1101, 3268, 538, 519, 6640, 269, 1306, 596, 1205, 909, 543, 1847, 267, 519, 1928, 7363, 11081, 267, 855, 621, 1522, 2132, 1310, 1279, 5712, 540, 7555, 610, 950, 596, 1796, 909, 1310, 9361, 563, 1432, 4523, 547, 707, 3952, 950, 596, 3802, 1932, 1454, 888, 18455, 9308, 3742, 814, 1279, 1044, 3365, 7596, 539, 607, 606, 12146, 585, 1434, 1072, 267, 855, 267, 2687, 547, 23262, 693, 519, 1977, 5441, 540, 14272, 543, 1323, 330, 548, 31048, 976, 267, 3257, 1932, 1454, 1932, 4166, 666, 20739, 752, 688, 22106, 593, 519, 3952, 543, 666, 2014, 11213, 936, 2224, 7063, 281, 25688, 4345, 267, 8297, 696, 3293, 28844, 543, 2566, 18655, 267, 547, 2012, 513, 1906, 563, 1432, 616, 519, 4191, 540, 12263, 538, 707, 3952, 888, 21618, 540, 3723, 543, 21721, 12263, 1419, 1331, 912, 268, 570, 2658, 1145, 950, 596, 5905, 519, 4745, 563, 268, 10266, 950, 596, 1847, 621, 563, 268, 24410, 1076, 3001, 267, 6972, 267, 610, 8380, 2597, 593, 621, 563, 268, 17434, 20765, 267, 14246, 267, 610, 11926, 563, 268, 2859, 1928, 543, 11926, 1310, 596, 1964, 267, 971, 607, 9361, 610, 12008, 563, 1692, 1281, 12263, 1860, 707, 3952, 888, 293, 2393, 12263, 568, 6553, 1472, 519, 10549, 538, 707, 3952, 267, 4929, 11926, 267, 20765, 267, 610, 1928, 269, 589, 1455, 5544, 585, 12263, 547, 1020, 538, 519, 3723, 568, 519, 4745, 693, 519, 3490, 540, 707, 2462, 23179, 269, 2060, 2085, 543, 946, 267, 519, 20162, 540, 713, 4745, 3587, 8697, 563, 3674, 6972, 1434, 585, 12263, 538, 519, 3952, 888, 310, 22736, 568, 5227, 585, 1004, 609, 12263, 607, 621, 779, 1970, 1764, 267, 2337, 547, 1832, 519, 10549, 8465, 267, 2337, 5642, 1072, 543, 6971, 519, 1981, 540, 21404, 563, 1692, 798, 596, 1205, 7759, 540, 12263, 538, 707, 3952, 888, 8469, 10716, 269, 6348, 3122, 18042, 4550, 13611, 5061, 630, 301, 6347, 31312, 1070, 971, 607, 16481, 1575, 19745, 523, 543, 23040, 6918, 523, 267, 666, 948, 2569, 11926, 543, 14867, 1928, 269, 769, 1840, 267, 9729, 529, 821, 568, 513, 1360, 2500, 4550, 13611, 8665, 602, 666, 581, 22280, 883, 606, 818, 628, 26578, 4745, 269, 0, 1432, 1281, 2564, 28008, 10911, 305, 301, 1611, 888, 763, 28008, 10911, 305, 301, 949, 723, 513, 1906, 1114, 10096, 269, 1717, 267, 1018, 568, 519, 2495, 540, 519, 10911, 305, 301, 2564, 28008, 888, 10135, 305, 301, 2564, 28008, 267, 1018, 1281, 621, 1611, 888, 1103, 519, 2564, 2361, 267, 1717, 267, 519, 2564, 28008, 10911, 305, 301, 6763, 585, 11916, 12754, 21362, 1229, 29237, 563, 10135, 305, 301, 281, 11916, 12754, 21362, 1229, 29237, 454, 16665, 6481, 2806, 12934, 9911, 454, 347, 6195, 14011, 1475, 18693, 17871, 595, 3757, 3930, 659, 1537, 10657, 5948, 2008, 18871, 4338, 15288, 1475, 8333, 2153, 593, 6452, 1042, 2787, 538, 8447, 10657, 4065, 2008, 18871, 2207, 305, 1475, 28495, 516, 540, 28742, 538, 29407, 3194, 2008, 18871, 29262, 1475, 23338, 10469, 748, 16242, 2008, 347, 295, 30045, 1475, 12709, 2657, 7412, 2008, 347, 295, 28384, 1475, 29587, 25016, 1763, 19895, 2787, 2008, 347, 12613, 7034, 1475, 19859, 6798, 1670, 17449, 543, 4437, 32441, 7070, 2008, 347, 7495, 21990, 1475, 302, 660, 9222, 10684, 11588, 5358, 2008, 16085, 289, 1475, 4944, 2088, 536, 604, 5866, 282, 1507, 15108, 282, 18980, 536, 2784, 344, 15258, 807, 2008, 16085, 10064, 301, 1475, 22492, 20126, 3427, 12502, 525, 347, 0, 28097, 827, 519, 7690, 5004, 585, 9869, 20890, 1299, 21094, 563, 26199, 2359, 568, 3989, 607, 513, 1184, 998, 799, 5021, 4398, 568, 7691, 998, 3339, 1944, 4247, 676, 5302, 2958, 908, 960, 883, 1507, 4773, 269, 634, 1523, 540, 3621, 2359, 1935, 6322, 547, 2087, 4074, 7607, 676, 1739, 1978, 3741, 269, 898, 729, 2919, 676, 19291, 13177, 2509, 519, 1439, 540, 476, 866, 628, 2540, 269, 5274, 1894, 1935, 593, 519, 824, 1688, 267, 729, 2919, 2663, 543, 6212, 811, 593, 8236, 3853, 998, 4824, 3347, 267, 6284, 543, 8404, 540, 4600, 2933, 269, 7073, 2359, 3069, 13290, 547, 23590, 543, 13217, 922, 21530, 25600, 538, 3801, 547, 796, 1518, 873, 269, 4014, 519, 2596, 3741, 538, 3621, 2359, 6436, 2611, 4143, 1256, 538, 2413, 2359, 1935, 267, 972, 616, 930, 1883, 3344, 602, 4625, 8428, 269, 2552, 9009, 547, 3621, 2359, 1935, 267, 2413, 2359, 1935, 23616, 12885, 602, 1100, 835, 1655, 1259, 540, 3257, 713, 786, 4019, 585, 782, 3871, 563, 1607, 729, 2919, 1282, 4853, 4838, 950, 1804, 4336, 15327, 941, 2813, 269, 634, 3070, 547, 2359, 2042, 267, 1500, 676, 19291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3695, 519, 6249, 540, 2229, 931, 7032, 20874, 1369, 519, 2797, 4278, 14525, 9135, 267, 621, 568, 1898, 547, 4983, 875, 4589, 8415, 971, 4798, 547, 4020, 6946, 6386, 602, 23827, 622, 2152, 540, 1379, 267, 12879, 267, 543, 1514, 1852, 269, 1677, 9414, 713, 1523, 267, 1577, 721, 5490, 883, 27722, 18741, 10290, 781, 3209, 14730, 10552, 630, 10193, 1634, 607, 4563, 10552, 1070, 799, 7740, 1472, 31924, 667, 4689, 681, 328, 14493, 267, 606, 3768, 1737, 7128, 11464, 10188, 513, 20850, 2978, 31307, 540, 804, 663, 32347, 14565, 538, 519, 575, 15402, 1558, 24227, 540, 570, 2077, 641, 12994, 269, 901, 2189, 4259, 2636, 3988, 547, 4497, 609, 1585, 3344, 540, 2229, 931, 7032, 20874, 1247, 849, 10452, 2390, 4207, 8739, 27791, 8658, 780, 20058, 267, 621, 568, 2629, 547, 1174, 1018, 13054, 513, 24242, 3069, 543, 875, 789, 8428, 689, 6071, 25127, 610, 27421, 269, 589, 24242, 3069, 3335, 3322, 1079, 3119, 3334, 281, 1101, 267, 519, 3661, 602, 513, 5728, 633, 1895, 7768, 540, 9565, 2043, 568, 2324, 2509, 5256, 14179, 550, 3853, 282, 2034, 267, 602, 891, 11051, 8362, 1073, 325, 19895, 622, 741, 3527, 998, 771, 15574, 11044, 543, 824, 12485, 2966, 547, 2226, 26363, 3954, 6636, 630, 26422, 7322, 1299, 21502, 324, 2544, 267, 476, 1220, 280, 1040, 1452, 2609, 616, 10423, 538, 14730, 10552, 267, 13296, 14692, 344, 9348, 1023, 3343, 547, 17908, 6848, 12194, 543, 28639, 547, 2417, 741, 1378, 4690, 693, 519, 13258, 540, 1312, 1480, 543, 1875, 25993, 2366, 1304, 7919, 780, 3080, 1883, 2460, 540, 2229, 931, 7032, 20874, 13269, 538, 14730, 10552, 568, 519, 1909, 540, 18259, 543, 2923, 12879, 538, 5935, 1857, 6644, 543, 4509, 1852, 269, 1306, 667, 4689, 27180, 519, 2577, 5209, 17116, 570, 2077, 641, 12994, 267, 646, 13341, 3875, 8320, 1141, 9583, 19635, 3377, 3688, 1071, 2297, 576, 883, 513, 20291, 4674, 547, 32022, 2442, 18941, 1996, 1978, 2516, 610, 19237, 269, 901, 7613, 19141, 1483, 8996, 4145, 3823, 519, 14049, 1436, 540, 1344, 543, 519, 11761, 540, 3972, 538, 2757, 4760, 2065, 5238, 630, 307, 27462, 1696, 620, 1421, 476, 1001, 279, 1040, 1635, 6313, 891, 6384, 998, 519, 7828, 540, 14070, 2239, 267, 3988, 666, 9691, 6218, 519, 1761, 4539, 540, 4652, 9116, 1229, 25749, 543, 2015, 2994, 585, 5807, 3152, 2923, 7924, 780, 5194, 32330, 4183, 540, 14730, 10552, 781, 24575, 540, 2229, 931, 7032, 20874, 568, 519, 8561, 593, 17531, 29386, 13313, 543, 519, 1016, 11437, 540, 1813, 1184, 269, 10801, 519, 3209, 267, 667, 4689, 15359, 1206, 1585, 9465, 25517, 676, 1010, 2706, 12542, 543, 9164, 267, 16550, 1864, 547, 2243, 2436, 646, 5713, 519, 2014, 540, 5126, 610, 8806, 15081, 9529, 606, 26568, 4567, 28943, 269, 6270, 21140, 13469, 609, 5571, 9840, 4478, 12250, 12477, 543, 519, 991, 585, 7347, 11974, 543, 21356, 547, 2061, 28407, 540, 1379, 630, 289, 990, 839, 267, 476, 1220, 278, 1040, 5047, 267, 789, 20838, 519, 2956, 540, 27646, 321, 27172, 543, 824, 3029, 540, 29926, 607, 4105, 28863, 1996, 28974, 21274, 1369, 6608, 543, 14078, 7567, 780, 1103, 1840, 547, 891, 811, 2489, 3344, 540, 2229, 931, 7032, 20874, 267, 14730, 10552, 849, 22851, 609, 1808, 1914, 19205, 2152, 22317, 547, 938, 2413, 5736, 269, 1280, 3236, 267, 519, 3209, 7710, 13253, 1063, 3425, 543, 1875, 25993, 2366, 1304, 7919, 267, 9870, 2055, 827, 3961, 267, 10362, 267, 543, 519, 5683, 2126, 540, 12790, 2950, 269, 3414, 667, 4689, 781, 2833, 607, 606, 3768, 1737, 11464, 21679, 609, 1010, 16012, 2783, 267, 3988, 616, 14376, 547, 14719, 622, 519, 6286, 540, 4033, 1145, 543, 519, 2591, 5185, 676, 1346, 945, 2291, 693, 2486, 781, 13020, 344, 269, 5015, 267, 519, 26841, 540, 570, 2077, 641, 12994, 607, 513, 2749, 13324, 676, 27394, 19745, 12999, 26119, 23185, 676, 519, 3788, 540, 519, 21549, 20217, 16198, 547, 1483, 8996, 27900, 7282, 4199, 10868, 267, 2825, 12159, 267, 543, 519, 12796, 2305, 540, 1272, 3294, 780, 2414, 17412, 267, 606, 538, 3829, 6514, 540, 2229, 931, 7032, 20874, 1369, 519, 2797, 4278, 14525, 9135, 8761, 1896, 2565, 4030, 3823, 1379, 267, 12879, 267, 543, 1514, 1852, 269, 14301, 593, 27722, 18741, 10290, 781, 14730, 10552, 267, 713, 2079, 814, 25139, 519, 1739, 2035, 1384, 272, 269, 634, 2470, 540, 24242, 6436, 543, 741, 2078, 547, 9658, 1097, 267, 3310, 267, 543, 771, 15574, 3248, 273, 269, 634, 1909, 540, 18259, 543, 2923, 12879, 538, 5935, 1857, 6644, 543, 4509, 1852, 3248, 274, 269, 13163, 29386, 13313, 543, 519, 1016, 11437, 540, 1813, 1184, 607, 4863, 2209, 540, 6057, 3248, 275, 269, 16930, 8739, 27791, 2152, 267, 971, 607, 3961, 6214, 267, 2825, 7881, 267, 543, 4199, 14305, 780, 3528, 2502, 609, 891, 3584, 998, 519, 5420, 540, 5708, 267, 1053, 666, 11349, 513, 4514, 7071, 585, 519, 10848, 7915, 538, 2797, 1949, 543, 1020, 13857, 5380, 593, 4207, 2591, 269, 11086, 267, 971, 1702, 786, 7668, 873, 547, 7119, 811, 3927, 538, 11180, 3157, 543, 12167, 585, 2318, 1689, 1369, 741, 1378, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 2941, 281, 667, 4689, 681, 328, 14493, 267, 3768, 1737, 267, 29802, 538, 513, 30756, 514, 2630, 2666, 269, 634, 2749, 281, 570, 2077, 641, 12994, 267, 575, 1054, 1868, 4302, 543, 3046, 20529, 2676, 1080, 17946, 4474, 6607, 2620, 13711, 267, 922, 6173, 2209, 4412, 8215, 676, 25034, 3293, 12109, 603, 338, 267, 543, 922, 1379, 3812, 676, 27394, 19745, 12999, 26119, 2676, 14673, 8215, 676, 519, 7633, 540, 519, 4666, 563, 2691, 3532, 931, 7032, 20874, 21279, 570, 2077, 641, 12994, 689, 519, 2484, 2427, 540, 519, 1158, 267, 666, 513, 15685, 667, 4689, 1265, 513, 1259, 547, 3247, 873, 2676, 663, 538, 519, 1184, 1265, 513, 2601, 547, 4163, 593, 4540, 888, 291, 1046, 10552, 630, 20084, 2140, 264, 4563, 10552, 630, 4785, 2140, 264, 3267, 291, 4689, 681, 328, 14493, 1433, 476, 273, 454, 299, 773, 23133, 667, 4689, 681, 328, 14493, 568, 1100, 3476, 519, 812, 646, 729, 1862, 855, 547, 931, 2869, 2209, 945, 454, 628, 805, 523, 519, 18523, 1931, 540, 570, 2077, 641, 12994, 543, 519, 2924, 540, 1875, 25993, 2366, 1801, 2676, 515, 568, 606, 10546, 945, 2115, 547, 581, 3623, 10642, 269, 4634, 519, 1034, 3532, 540, 4872, 666, 1689, 454, 1080, 1915, 950, 519, 6381, 616, 4904, 609, 2614, 1612, 8457, 807, 543, 4250, 563, 4517, 950, 519, 24242, 781, 3486, 7516, 1831, 2312, 267, 667, 4689, 1590, 2951, 454, 1729, 7629, 584, 1756, 267, 711, 1175, 547, 8125, 557, 343, 4975, 267, 519, 2749, 602, 6763, 593, 5318, 1350, 553, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30025, 3117, 7032, 20874, 257, 607, 851, 540, 834, 11227, 1315, 774, 18115, 619, 1315, 11572, 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, 27915, 1715, 16140, 998, 7981, 1242, 12305, 566, 7896, 910, 589, 8865, 5530, 540, 717, 10008, 987, 24728, 781, 4477, 673, 21115, 342, 623, 850, 6355, 31621, 692, 296, 269, 4985, 454, 288, 269, 11137, 540, 7463, 10380, 2533, 607, 513, 2208, 4640, 454, 289, 269, 10312, 593, 717, 10008, 987, 24728, 781, 927, 673, 17684, 18061, 1870, 4316, 454, 290, 269, 4804, 6859, 281, 4197, 6455, 543, 6725, 2994, 1369, 519, 2796, 540, 713, 2013, 1353, 692, 2862, 269, 634, 24021, 10369, 540, 7981, 1399, 14716, 15733, 454, 288, 269, 17291, 2344, 10616, 543, 3255, 454, 289, 269, 11790, 6117, 3747, 585, 20614, 4070, 2472, 630, 324, 3052, 1421, 6940, 267, 15006, 994, 290, 269, 7351, 3466, 538, 519, 17684, 18061, 2872, 454, 291, 269, 14847, 1438, 5251, 2079, 692, 7656, 269, 23433, 590, 2454, 1160, 21752, 540, 717, 10008, 987, 24728, 781, 4477, 673, 21115, 342, 623, 3796, 454, 288, 269, 18948, 1063, 17684, 25985, 543, 2757, 5748, 2409, 454, 289, 269, 22436, 540, 927, 673, 17684, 25985, 630, 324, 3052, 1421, 2656, 10380, 267, 8766, 3135, 17522, 267, 10357, 7888, 994, 290, 269, 1520, 11447, 547, 2872, 4441, 543, 6042, 454, 291, 269, 11426, 1436, 3681, 585, 1585, 3156, 454, 292, 269, 8779, 6476, 543, 1272, 4783, 4879, 454, 293, 269, 7464, 8996, 1788, 1967, 2984, 692, 4353, 269, 27010, 29714, 543, 21540, 7695, 11150, 454, 288, 269, 1763, 7808, 5288, 269, 5010, 6990, 454, 289, 269, 6206, 6075, 12415, 630, 24610, 14935, 267, 25255, 267, 9367, 267, 3092, 8094, 290, 269, 19024, 532, 717, 10008, 987, 24728, 3435, 1759, 593, 3077, 5304, 2115, 454, 291, 269, 5369, 16623, 543, 2623, 3270, 12018, 9140, 3664, 454, 292, 269, 29114, 1819, 20261, 585, 1114, 9458, 692, 309, 269, 8490, 16890, 4721, 543, 17392, 17978, 454, 288, 269, 11588, 540, 23712, 609, 3964, 5716, 630, 2006, 3011, 20445, 267, 14273, 267, 17783, 531, 619, 267, 21625, 994, 289, 269, 12861, 20102, 6225, 11650, 454, 290, 269, 19737, 3347, 2066, 2789, 9055, 454, 291, 269, 1401, 5477, 11450, 3631, 543, 741, 1764, 593, 6216, 10639, 692, 9654, 269, 19833, 22604, 543, 9828, 454, 288, 269, 13693, 894, 9513, 5288, 269, 6223, 1308, 9513, 454, 289, 269, 12409, 2200, 543, 2645, 585, 17053, 18046, 454, 290, 269, 30855, 1587, 23405, 543, 16499, 517, 10118, 454, 291, 269, 18601, 1843, 687, 543, 4145, 1282, 519, 6455, 1184, 454, 292, 269, 1849, 3151, 2553, 543, 1246, 5346, 5773, 692, 23997, 269, 16373, 932, 2335, 1564, 543, 22411, 5004, 454, 288, 269, 6732, 4527, 630, 933, 2125, 924, 1374, 267, 3406, 2599, 11938, 267, 1514, 2923, 6278, 994, 289, 269, 12465, 10229, 630, 2745, 267, 5925, 267, 8613, 994, 290, 269, 11780, 2982, 267, 19014, 267, 543, 13033, 2621, 454, 291, 269, 5398, 1894, 3646, 630, 332, 4215, 23793, 267, 2046, 13847, 267, 17758, 22347, 3827, 994, 292, 269, 19478, 11044, 543, 3377, 24393, 454, 293, 269, 28582, 1537, 3292, 543, 15314, 454, 294, 269, 31524, 2773, 14573, 543, 14577, 5859, 12485, 9935, 692, 309, 7656, 269, 11038, 19047, 543, 7043, 31645, 30825, 1464, 454, 288, 269, 19461, 5092, 4170, 543, 14104, 3681, 454, 289, 269, 5741, 539, 8907, 12535, 543, 2132, 593, 5092, 28868, 454, 290, 269, 11485, 2359, 543, 17846, 2994, 454, 291, 269, 23120, 6454, 4566, 585, 4509, 8013, 6316, 454, 292, 269, 2480, 2718, 4238, 1247, 8497, 2298, 1852, 3800, 692, 21197, 269, 10390, 454, 288, 269, 1234, 5115, 540, 1883, 1451, 902, 2429, 519, 1576, 1770, 454, 289, 269, 11559, 618, 585, 1053, 547, 4019, 891, 3741, 538, 741, 1378, 29426, 18697, 454, 290, 269, 12833, 2787, 585, 2417, 4901, 543, 8086, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 13014, 513, 1870, 3375, 602, 786, 2736, 1007, 2666, 269, 28161, 513, 26133, 717, 10008, 987, 24728, 12305, 518, 563, 1607, 568, 606, 3078, 4316, 538, 513, 18388, 532, 1007, 5823, 269, 28161, 519, 30856, 17684, 18061, 11285, 538, 707, 3148, 609, 717, 10008, 987, 24728, 267, 543, 707, 6791, 786, 2736, 1007, 2666, 547, 1870, 20656, 563, 2690, 811, 982, 476, 1015, 1296, 267, 717, 10008, 987, 24728, 267, 10672, 543, 3888, 518, 540, 927, 673, 17684, 25985, 267, 814, 5916, 4222, 609, 917, 24376, 547, 2709, 10821, 543, 5010, 5561, 519, 1655, 533, 4979, 3070, 547, 1489, 513, 21318, 540, 3785, 563, 5978, 927, 673, 717, 10008, 987, 24728, 17684, 25985, 267, 799, 20546, 519, 5207, 2872, 4441, 267, 616, 8704, 2620, 9944, 519, 2666, 16171, 1377, 547, 4396, 569, 1489, 519, 2497, 540, 707, 7218, 685, 3785, 267, 8151, 689, 24909, 267, 31619, 806, 543, 2703, 802, 547, 31966, 267, 3802, 1811, 267, 1273, 3930, 267, 1151, 926, 4548, 267, 1232, 802, 267, 22401, 321, 657, 267, 3141, 7741, 543, 1454, 811, 269, 14568, 982, 2757, 6405, 22225, 4646, 1210, 13740, 267, 17684, 25985, 3888, 3362, 543, 3533, 609, 1100, 26995, 610, 10826, 942, 2838, 269, 1656, 267, 1317, 18222, 2237, 606, 3573, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 611, 11187, 269, 18358, 333, 389, 495, 27474, 333, 16659, 341, 389, 507, 27474, 321, 16745, 331, 11172, 1373, 824, 982, 11913, 2792, 563, 24552, 602, 681, 1506, 1889, 609, 6348, 16812, 454, 7078, 5220, 540, 519, 2262, 26068, 454, 1805, 3994, 26068, 6786, 971, 607, 513, 12837, 610, 7682, 633, 12162, 666, 960, 1175, 899, 513, 2178, 11913, 23319, 563, 5226, 4925, 5627, 519, 2262, 26068, 454, 272, 269, 631, 843, 10295, 666, 2285, 596, 513, 21184, 899, 18160, 269, 1403, 596, 723, 4049, 10295, 267, 596, 1223, 2611, 26068, 269, 1411, 1810, 1405, 1616, 1004, 547, 581, 593, 519, 4049, 1439, 540, 519, 8552, 269, 1809, 952, 596, 3893, 7759, 540, 782, 519, 10295, 11976, 267, 596, 9327, 1405, 723, 2257, 610, 1148, 269, 2353, 596, 1131, 723, 568, 513, 19619, 540, 1514, 1412, 344, 752, 586, 6545, 25692, 268, 13527, 9835, 514, 454, 611, 11187, 269, 18358, 333, 389, 495, 27474, 333, 16659, 341, 389, 507, 27474, 321, 16745, 331, 11172, 15877, 11913, 5578, 563, 611, 11187, 269, 18358, 333, 389, 495, 27474, 333, 16659, 341, 389, 507, 27474, 321, 16745, 331, 11172, 5473, 2370, 946, 540, 1893, 269, 0, 301, 1551, 894, 21445, 1603, 666, 948, 1053, 547, 1451, 454, 10932, 2982, 602, 2239, 21445, 1603, 568, 4443, 547, 1174, 1107, 543, 547, 11291, 1107, 982, 1875, 27395, 267, 799, 568, 1946, 5981, 2372, 580, 2917, 11099, 513, 1434, 20612, 1058, 1106, 851, 540, 1169, 4116, 779, 27132, 454, 5629, 2390, 513, 942, 267, 972, 729, 930, 4277, 1007, 1382, 883, 875, 2984, 2170, 609, 3965, 543, 8223, 269, 570, 2454, 2984, 568, 513, 4105, 851, 540, 938, 5030, 1995, 269, 12267, 948, 721, 547, 1118, 2631, 540, 513, 1950, 1158, 676, 5356, 721, 519, 21934, 13783, 540, 5432, 3889, 267, 3197, 543, 13602, 563, 5804, 1373, 4371, 538, 519, 7916, 540, 513, 6068, 835, 543, 1224, 547, 607, 513, 1762, 1126, 547, 737, 10107, 1394, 609, 513, 1390, 20612, 607, 606, 2937, 267, 649, 782, 15859, 1947, 21028, 519, 1379, 540, 2984, 563, 3719, 1018, 1281, 1382, 723, 547, 2161, 827, 621, 286, 7216, 713, 1032, 267, 31434, 589, 3057, 543, 9164, 9333, 809, 513, 1804, 13849, 20400, 3267, 0, 763, 2956, 540, 9952, 4332, 7390, 1218, 538, 519, 5786, 540, 14774, 543, 20169, 24896, 543, 9019, 5001, 3112, 581, 936, 15041, 3508, 1242, 269, 634, 4571, 342, 1161, 3028, 10325, 729, 3964, 676, 519, 2817, 12729, 2657, 5516, 4886, 10837, 630, 301, 15771, 290, 6395, 264, 538, 5698, 609, 519, 16711, 543, 11068, 342, 604, 2044, 7027, 540, 13280, 538, 476, 1220, 280, 547, 3035, 5786, 538, 14774, 267, 20169, 543, 896, 19317, 9019, 538, 13280, 267, 2523, 538, 6917, 2950, 269, 634, 3483, 540, 519, 1353, 729, 547, 3313, 875, 11299, 543, 4571, 342, 1161, 538, 5697, 9351, 6076, 15078, 538, 26512, 10937, 13498, 519, 4571, 342, 1161, 3028, 10325, 269, 12866, 6859, 543, 1614, 14275, 19165, 941, 6659, 547, 3391, 519, 1353, 269, 26592, 10855, 5619, 1374, 729, 1031, 547, 1353, 519, 4571, 342, 1161, 685, 8226, 1247, 1312, 11050, 543, 12007, 2409, 941, 7550, 585, 519, 1353, 540, 11299, 685, 8226, 269, 634, 2898, 631, 7704, 4571, 342, 1161, 630, 3953, 264, 538, 519, 6594, 9351, 6076, 15078, 941, 1031, 585, 519, 1353, 1247, 513, 3732, 2450, 540, 476, 4343, 272, 11299, 729, 6537, 689, 519, 2551, 540, 476, 16825, 274, 269, 5565, 5036, 540, 11001, 31465, 26830, 941, 1031, 547, 5352, 1239, 689, 519, 4571, 342, 1161, 543, 11299, 282, 1247, 5216, 1445, 1895, 4901, 7886, 609, 476, 10695, 11299, 941, 849, 1031, 607, 513, 1394, 5346, 6293, 585, 10451, 1239, 689, 519, 11299, 269, 634, 7405, 941, 14468, 4570, 543, 6325, 267, 678, 815, 476, 271, 269, 5952, 543, 476, 271, 269, 8660, 1210, 8237, 3368, 10727, 1449, 585, 4571, 342, 1161, 685, 543, 3993, 779, 18102, 6606, 269, 4578, 941, 13950, 2047, 547, 17013, 676, 519, 11001, 543, 2185, 20843, 269, 20505, 540, 519, 1353, 941, 21845, 6934, 1947, 267, 1247, 835, 17574, 30654, 543, 19610, 512, 23150, 941, 1031, 547, 1449, 519, 19165, 693, 476, 271, 269, 4962, 1377, 540, 4644, 1210, 519, 18926, 13268, 720, 585, 4317, 7070, 630, 306, 31723, 1040, 4578, 689, 519, 1445, 1895, 4901, 941, 9916, 873, 5597, 543, 4681, 689, 21044, 2079, 941, 4310, 547, 1394, 909, 519, 4681, 689, 8579, 2079, 269, 28088, 4951, 602, 4571, 342, 1161, 543, 11299, 9228, 519, 631, 7704, 9797, 855, 2188, 899, 4057, 14057, 267, 3668, 540, 2326, 899, 5061, 267, 5201, 543, 4057, 10182, 540, 1072, 4600, 18886, 11874, 1996, 519, 10325, 269, 2859, 4571, 342, 1161, 1058, 581, 25945, 543, 519, 4571, 342, 1161, 685, 23269, 8476, 547, 18663, 873, 563, 25889, 547, 519, 1353, 454, 303, 27389, 3599, 543, 27638, 616, 3339, 12214, 3157, 602, 3142, 7772, 995, 2833, 547, 2043, 543, 3885, 269, 1717, 267, 538, 1082, 2694, 540, 519, 1158, 267, 6379, 13054, 513, 829, 559, 748, 3460, 267, 513, 19408, 543, 5732, 14603, 1995, 585, 6634, 540, 2021, 2523, 538, 3384, 2477, 269, 3683, 476, 29579, 267, 1822, 2021, 5884, 12422, 689, 8374, 1282, 6379, 267, 27638, 267, 610, 2022, 31691, 1974, 630, 13328, 5517, 1433, 267, 476, 1001, 275, 543, 21766, 267, 7419, 32019, 267, 7419, 293, 5183, 1299, 763, 2622, 7813, 476, 1001, 275, 1040, 6168, 476, 3583, 260, 540, 891, 7972, 616, 7361, 1521, 762, 610, 693, 2547, 28824, 630, 7419, 32019, 267, 476, 1001, 271, 264, 543, 5176, 782, 891, 7972, 630, 1478, 476, 3445, 8472, 2049, 538, 3384, 12248, 1845, 1141, 12680, 3928, 616, 2362, 543, 513, 4807, 779, 1272, 942, 1981, 540, 12955, 1282, 6379, 543, 27638, 568, 936, 476, 6110, 2053, 2362, 982, 538, 2919, 2477, 630, 29423, 340, 267, 28635, 2967, 267, 1299, 289, 4157, 541, 267, 476, 1001, 271, 1916, 763, 3510, 538, 13280, 568, 2523, 18205, 607, 14774, 9019, 2557, 553, 1164, 607, 30697, 829, 476, 1911, 267, 1822, 2661, 24570, 568, 1869, 6592, 630, 13328, 2657, 9257, 267, 6167, 32019, 1299, 634, 2622, 7813, 267, 476, 1001, 275, 1070, 3976, 1519, 13280, 1851, 519, 6082, 609, 519, 5207, 1297, 540, 14774, 7972, 630, 21766, 267, 476, 1001, 271, 267, 2817, 12729, 16195, 4886, 10837, 630, 301, 15771, 290, 6395, 264, 476, 1220, 280, 1040, 13280, 2306, 909, 1152, 476, 272, 260, 540, 519, 2698, 1158, 2551, 855, 6589, 585, 827, 476, 1015, 260, 540, 519, 2518, 7447, 585, 14774, 9019, 630, 30820, 15121, 1299, 715, 15771, 290, 6395, 267, 476, 1001, 271, 1040, 634, 1007, 23899, 543, 896, 19317, 9019, 3928, 1246, 519, 1482, 7678, 609, 606, 6059, 10867, 9019, 2557, 540, 476, 10619, 270, 272, 267, 1822, 630, 19340, 631, 1495, 328, 267, 476, 1001, 275, 1040, 1607, 30299, 7678, 814, 1044, 14360, 547, 5838, 625, 1373, 13984, 547, 676, 5667, 330, 2683, 4332, 7390, 1218, 630, 301, 261, 10157, 301, 5240, 12072, 476, 1001, 272, 1299, 715, 15771, 290, 6395, 267, 476, 1220, 280, 1916, 2005, 568, 1996, 713, 20457, 602, 519, 11068, 342, 1161, 6796, 30868, 1496, 5960, 306, 316, 729, 15748, 538, 476, 1220, 274, 676, 519, 16711, 543, 11068, 342, 604, 2044, 7027, 540, 13280, 630, 301, 261, 10157, 301, 264, 1498, 8385, 607, 513, 16601, 3028, 0, 763, 1974, 540, 1272, 4947, 1063, 6689, 543, 15657, 282, 18273, 269, 6423, 811, 1913, 609, 519, 1482, 2495, 281, 3023, 267, 4638, 26697, 269, 1677, 723, 3023, 609, 513, 4775, 1282, 1200, 1974, 269, 2691, 1352, 729, 14108, 908, 646, 1185, 3023, 609, 1200, 543, 3893, 1010, 2699, 342, 902, 269, 4427, 4784, 676, 32088, 689, 594, 628, 20403, 267, 12924, 267, 7330, 593, 8734, 476, 4962, 476, 1960, 278, 269, 513, 1974, 540, 942, 1282, 799, 835, 568, 6158, 609, 2576, 3068, 3562, 19904, 630, 553, 10353, 547, 936, 519, 6049, 267, 3842, 552, 17733, 267, 3092, 4700, 9210, 5255, 4214, 281, 1403, 596, 3277, 547, 513, 1279, 1974, 540, 942, 607, 606, 22184, 2073, 596, 1611, 602, 1271, 2621, 610, 1862, 1923, 12791, 267, 12332, 267, 16627, 543, 1806, 6789, 12569, 5746, 28714, 23166, 6126, 267, 18822, 630, 321, 1652, 539, 264, 29938, 269, 7831, 12995, 593, 5463, 476, 2190, 476, 1001, 272, 269, 3763, 4214, 281, 1879, 1945, 10953, 2073, 621, 9428, 610, 2242, 936, 513, 1974, 540, 942, 543, 2356, 3587, 1862, 1923, 12791, 267, 12332, 267, 16627, 543, 1806, 1879, 2576, 596, 917, 3352, 331, 2982, 909, 538, 707, 9909, 269, 20323, 267, 12124, 9218, 729, 5497, 607, 513, 8675, 540, 27325, 610, 2686, 1913, 543, 2453, 267, 711, 3335, 1336, 538, 3044, 21594, 267, 855, 621, 568, 1631, 1031, 547, 5581, 1022, 2262, 267, 2680, 267, 610, 12882, 22935, 15272, 2495, 5889, 22935, 4683, 4214, 281, 476, 272, 269, 540, 610, 538, 513, 2749, 610, 4884, 281, 476, 273, 269, 540, 610, 538, 513, 2749, 610, 4884, 281, 476, 274, 269, 540, 610, 538, 513, 2749, 610, 4884, 281, 1547, 11270, 339, 267, 610, 11270, 1405, 267, 568, 513, 3483, 569, 4413, 335, 8215, 8390, 593, 519, 2262, 9502, 689, 12124, 9218, 281, 968, 20540, 339, 892, 568, 513, 2262, 1031, 693, 519, 1439, 540, 513, 4845, 267, 5921, 547, 1039, 8561, 547, 513, 1448, 602, 814, 1044, 1500, 269, 12124, 2486, 4214, 568, 910, 513, 2486, 602, 568, 6093, 540, 2413, 4853, 10340, 543, 26945, 538, 2686, 2245, 267, 602, 11363, 16712, 2418, 267, 543, 602, 568, 25191, 2864, 982, 7471, 12882, 4186, 2858, 539, 609, 12563, 2486, 269, 16294, 4683, 269, 1133, 16225, 6418, 4708, 543, 1265, 519, 4222, 547, 1847, 593, 609, 713, 11461, 4760, 1341, 7067, 10516, 1305, 799, 2882, 27041, 267, 513, 3043, 22729, 23156, 267, 543, 513, 9782, 21247, 6149, 269, 570, 17344, 548, 12445, 6423, 811, 1913, 609, 519, 1482, 2495, 281, 513, 5428, 267, 2680, 267, 11018, 267, 5870, 269, 634, 3896, 729, 8547, 538, 476, 1960, 280, 676, 26826, 3212, 1188, 5069, 269, 12124, 9218, 281, 21634, 1460, 269, 2296, 568, 1031, 950, 10912, 721, 269, 1261, 568, 10169, 804, 636, 1910, 543, 26101, 693, 2053, 269, 4427, 332, 3827, 616, 14931, 676, 15321, 15769, 543, 15951, 676, 3135, 8436, 269, 4427, 4784, 676, 4856, 16535, 689, 27924, 267, 7330, 593, 3967, 476, 2190, 476, 1960, 280, 269, 700, 877, 21868, 4214, 568, 910, 835, 602, 568, 4617, 610, 602, 8813, 3297, 538, 2702, 610, 9740, 282, 2523, 267, 30109, 3703, 2433, 606, 513, 4979, 2754, 269, 4214, 540, 13622, 909, 4683, 8675, 23657, 2307, 2818, 11097, 10183, 585, 12882, 875, 827, 2933, 267, 2495, 596, 15700, 1776, 521, 8367, 568, 1857, 1858, 899, 1864, 602, 8695, 1491, 2962, 1317, 519, 1239, 538, 2013, 972, 941, 5645, 856, 15597, 2139, 547, 1439, 269, 1879, 596, 3548, 513, 8004, 856, 950, 1352, 568, 2348, 1200, 1974, 10611, 539, 654, 902, 4214, 676, 12124, 9218, 15394, 596, 1616, 713, 1268, 547, 535, 3089, 707, 12058, 856, 269, 630, 29825, 264, 9218, 8206, 3509, 540, 519, 2413, 1147, 12849, 538, 519, 8675, 666, 581, 14360, 1394, 547, 6628, 543, 8581, 269, 3245, 7043, 2006, 9218, 540, 12634, 2296, 2887, 578, 1974, 2887, 578, 1974, 513, 942, 950, 4986, 568, 2944, 610, 6913, 634, 6512, 4682, 998, 513, 2887, 578, 1974, 538, 519, 3735, 476, 3445, 338, 269, 12882, 2887, 578, 6201, 689, 519, 4856, 16476, 2887, 578, 1974, 12882, 10634, 7743, 569, 6743, 1310, 789, 666, 3132, 1896, 7031, 513, 1032, 543, 2611, 15417, 585, 5553, 1510, 17596, 513, 2887, 578, 1974, 269, 19255, 700, 3554, 8745, 12791, 12124, 9218, 635, 1721, 1562, 10023, 3312, 1148, 540, 707, 5172, 12882, 22935, 6258, 811, 269, 7831, 12995, 593, 7325, 476, 1704, 476, 1001, 272, 269, 634, 2228, 5409, 3667, 16130, 8675, 568, 5921, 585, 9275, 16130, 269, 898, 568, 1419, 9833, 607, 513, 811, 3665, 610, 7920, 4528, 540, 968, 704, 1675, 1848, 12882, 10634, 7085, 687, 12882, 22935, 6423, 811, 1913, 609, 519, 1482, 2495, 281, 1875, 10391, 1747, 269, 6423, 811, 1913, 609, 519, 1482, 2495, 281, 28689, 267, 18492, 1974, 630, 22366, 547, 1040, 4683, 19655, 267, 4683, 12332, 267, 4683, 8144, 267, 2296, 8675, 4214, 540, 4683, 269, 1215, 547, 946, 561, 877, 21868, 538, 513, 4845, 269, 12124, 9218, 568, 513, 24921, 712, 1027, 2228, 8675, 585, 27325, 1913, 543, 2453, 267, 5665, 896, 519, 2138, 1729, 834, 31711, 2659, 2622, 1701, 1975, 758, 839, 14234, 910, 1323, 2296, 910, 16130, 8675, 281, 901 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1647, 563, 13349, 14868, 827, 3039, 13342, 454, 2467, 616, 1896, 14868, 827, 3039, 13342, 602, 616, 711, 3020, 269, 2290, 7242, 568, 602, 3039, 13342, 568, 20715, 610, 6757, 267, 855, 713, 568, 711, 519, 2013, 269, 6271, 7242, 568, 602, 3039, 13342, 814, 513, 6793, 8137, 982, 2834, 13342, 267, 855, 972, 568, 1100, 2963, 547, 1489, 713, 3409, 563, 6962, 281, 9701, 596, 3548, 3039, 13342, 610, 711, 888, 1103, 3932, 267, 3039, 13342, 568, 2922, 547, 3548, 543, 1281, 711, 10460, 1022, 1072, 4220, 269, 1717, 267, 930, 1004, 949, 1265, 519, 3039, 2681, 796, 1952, 324, 2718, 610, 4782, 519, 6492, 540, 2834, 13342, 269, 1677, 2061, 13342, 689, 7432, 3039, 267, 4558, 621, 538, 513, 3579, 267, 3819, 1747, 2476, 689, 1463, 7943, 269, 1656, 2141, 2638, 585, 4191, 540, 27253, 720, 1354, 10438, 1022, 13342, 269, 0, 18128, 2064, 689, 18981, 2982, 602, 476, 1556, 4458, 29419, 945, 1745, 29043, 827, 741, 4703, 616, 811, 2693, 979, 593, 547, 1995, 4965, 693, 2085, 476, 1691, 563, 12867, 693, 772, 12710, 1767, 519, 4681, 18674, 875, 1271, 621, 568, 547, 2569, 16663, 540, 1114, 1560, 2010, 563, 2691, 1272, 568, 2352, 267, 6341, 541, 30808, 616, 1934, 1107, 1554, 610, 3781, 267, 476, 18458, 2395, 513, 1032, 269, 1411, 666, 1289, 873, 585, 1863, 593, 476, 14138, 476, 11277, 267, 4757, 873, 693, 4757, 11333, 2593, 267, 610, 3643, 519, 6341, 541, 30808, 3896, 547, 1265, 707, 14282, 7936, 563, 1432, 649, 4280, 596, 454, 7712, 596, 941, 476, 1556, 267, 649, 4076, 4280, 596, 513, 3126, 540, 2055, 827, 875, 596, 4076, 1044, 4743, 267, 1519, 875, 1419, 596, 4076, 5433, 912, 268, 865, 20158, 602, 4986, 1223, 17869, 596, 909, 454, 268, 1964, 1652, 610, 535, 573, 326, 1214, 454, 268, 602, 3388, 729, 606, 4674, 454, 268, 1411, 4076, 849, 5143, 721, 875, 596, 4076, 5433, 827, 519, 1259, 596, 6743, 563, 2171, 4076, 6027, 707, 4463, 543, 2597, 2429, 707, 1272, 547, 1294, 875, 596, 2461, 3395, 267, 543, 602, 1344, 666, 581, 1031, 547, 5173, 707, 1560, 2527, 4994, 630, 289, 11085, 1916, 29791, 1063, 2942, 1560, 3239, 543, 4057, 2790, 1072, 454, 14399, 538, 707, 5108, 945, 1185, 513, 1164, 19483, 693, 2085, 5722, 941, 811, 2693, 547, 2161, 789, 5433, 27025, 30829, 609, 741, 4703, 950, 789, 6603, 2085, 476, 1556, 269, 1656, 621, 729, 891, 1004, 945, 4682, 593, 547, 723, 811, 4606, 540, 4965, 676, 2085, 476, 1691, 267, 3379, 547, 741, 9905, 945, 5433, 811, 2318, 827, 519, 1259, 789, 6743, 563, 4322, 6402, 1107, 1063, 1164, 19483, 543, 2942, 1560, 3239, 267, 543, 2942, 1560, 3239, 543, 4606, 540, 4965, 1107, 941, 7466, 607, 2178, 585, 6690, 982, 8695, 563, 23220, 7627, 1434, 2168, 543, 2790, 1072, 454, 763, 3173, 6045, 602, 1247, 621, 779, 1271, 547, 3895, 2635, 4189, 543, 3635, 865, 1762, 1004, 3251, 538, 1434, 2168, 1072, 267, 621, 779, 8449, 1271, 547, 2569, 16663, 540, 8273, 4703, 547, 2149, 1762, 1004, 779, 2790, 1072, 543, 8171, 563, 5649, 519, 2407, 1382, 1867, 454, 8072, 16524, 15994, 11444, 1063, 6689, 19483, 267, 1560, 27025, 8351, 267, 543, 15730, 4965, 281, 606, 22423, 1353, 1210, 519, 5177, 7085, 3317, 1756, 595, 2129, 677, 5530, 265, 685, 729, 3370, 538, 634, 31102, 24741, 538, 5412, 476, 1708, 274, 563, 265, 21609, 540, 519, 1715, 11416, 568, 849, 1634, 607, 519, 7085, 3317, 1756, 595, 2129, 677, 5530, 0, 2026, 513, 2385, 267, 594, 917, 875, 7282, 621, 666, 581, 547, 1294, 707, 2370, 835, 7092, 689, 546, 807, 704, 16420, 269, 769, 713, 5816, 2022, 267, 649, 3513, 2263, 519, 2257, 3297, 546, 807, 704, 16420, 267, 865, 596, 666, 1732, 1174, 1018, 781, 8345, 543, 875, 547, 2061, 621, 269, 667, 807, 704, 16420, 568, 5097, 3361, 676, 12675, 4598, 547, 7509, 267, 8886, 1218, 267, 543, 11508, 269, 634, 1034, 2500, 1259, 547, 2061, 543, 1521, 546, 807, 704, 16420, 568, 547, 1832, 707, 4816, 781, 5377, 2973, 543, 3819, 676, 4657, 1019, 3639, 4749, 267, 1210, 11064, 1212, 4461, 267, 543, 4758, 873, 930, 546, 807, 704, 6954, 942, 269, 1635, 1620, 519, 3123, 543, 14319, 267, 596, 666, 948, 1832, 707, 4816, 6899, 543, 6126, 269, 0, 12626, 5678, 9752, 630, 5085, 307, 264, 3322, 11826, 6268, 998, 4255, 543, 18362, 269, 9182, 267, 1449, 4160, 814, 1044, 4767, 547, 3648, 1764, 1053, 262, 1134, 5630, 543, 4081, 2773, 269, 901, 2376, 6663, 547, 5031, 519, 2956, 540, 9301, 1449, 4160, 607, 513, 11342, 6161, 1851, 661, 14566, 1053, 543, 11828, 2994, 547, 11574, 922, 2360, 563, 8139, 4530, 17520, 454, 14240, 543, 3123, 454, 14818, 4160, 568, 513, 1106, 540, 2773, 4160, 5702, 1644, 547, 519, 6268, 540, 513, 2875, 779, 1702, 610, 1983, 538, 606, 4879, 610, 6514, 269, 9182, 267, 1449, 4160, 568, 2404, 609, 23892, 4606, 630, 324, 3052, 1421, 4028, 26470, 267, 24852, 267, 1726, 3387, 1782, 264, 543, 609, 4389, 7214, 28671, 630, 324, 3052, 1421, 17040, 4555, 267, 7411, 23622, 1916, 763, 9860, 540, 1449, 4160, 1851, 661, 14566, 1053, 568, 513, 9645, 6161, 540, 661, 14566, 3610, 269, 3194, 814, 12006, 602, 661, 14566, 1053, 723, 2565, 1164, 2157, 540, 1449, 4160, 267, 799, 568, 6766, 676, 1585, 3123, 269, 11790, 2404, 609, 1164, 2157, 540, 1449, 4160, 538, 661, 14566, 2796, 616, 281, 1893, 7496, 267, 2686, 3604, 267, 543, 14542, 640, 609, 519, 4152, 3898, 269, 13834, 543, 2085, 616, 849, 1271, 2188, 563, 5278, 1053, 3494, 602, 1449, 4093, 616, 2404, 609, 741, 16169, 269, 1452, 1053, 616, 811, 2693, 547, 1995, 1164, 2157, 540, 1449, 4160, 269, 3958, 267, 1053, 267, 945, 616, 1360, 1582, 16477, 540, 741, 5042, 3157, 1282, 4255, 267, 616, 811, 2693, 547, 1995, 1449, 4160, 563, 17806, 676, 281, 661, 11998, 577, 807, 966, 709, 9366, 454, 763, 1764, 540, 1449, 4160, 593, 661, 14566, 1053, 685, 1134, 5630, 454, 763, 1764, 540, 1449, 4160, 593, 1134, 5630, 540, 661, 14566, 1053, 568, 1713, 543, 814, 2942, 3929, 4539, 269, 1280, 3236, 267, 661, 14566, 1053, 1745, 16397, 676, 519, 2604, 547, 1685, 1134, 593, 11400, 267, 799, 666, 1291, 547, 10770, 4606, 540, 4160, 543, 11552, 848, 269, 2353, 519, 1657, 268, 20197, 4606, 666, 2014, 1164, 2566, 2157, 543, 2333, 1053, 685, 29338, 267, 1964, 16531, 267, 543, 7411, 12008, 563, 763, 2942, 3929, 1533, 666, 2569, 1053, 685, 2702, 547, 13404, 1282, 11400, 543, 547, 2226, 513, 2318, 14820, 799, 568, 2556, 547, 11400, 685, 1967, 269, 769, 1840, 267, 3173, 1336, 602, 1449, 4160, 7506, 11874, 1582, 21873, 543, 1582, 12635, 269, 13018, 267, 950, 1053, 9846, 1995, 4160, 543, 1685, 14605, 593, 4255, 267, 789, 949, 1020, 2942, 4978, 827, 741, 5759, 267, 3056, 547, 513, 7771, 538, 1582, 21873, 563, 1103, 1840, 267, 519, 3668, 540, 6015, 543, 519, 3668, 540, 1582, 12431, 4269, 666, 8831, 3564, 519, 1449, 23824, 1604, 543, 1764, 824, 3344, 540, 1053, 262, 2729, 267, 12042, 1359, 741, 2949, 3929, 1134, 5630, 269, 20134, 3929, 1134, 5630, 568, 15427, 676, 4606, 540, 17140, 267, 27303, 1145, 267, 543, 29359, 269, 9182, 267, 1053, 616, 27209, 543, 2243, 741, 1378, 16169, 269, 6270, 3929, 6114, 666, 11874, 1860, 741, 8404, 543, 15131, 585, 1565, 543, 1291, 547, 4389, 3929, 1134, 5630, 269, 1280, 1383, 267, 661, 14566, 1053, 609, 1164, 4160, 2157, 4043, 547, 4497, 538, 2942, 1582, 2389, 1779, 267, 1582, 1673, 12874, 339, 267, 543, 21472, 3206, 269, 2353, 519, 1657, 268, 20197, 3206, 3270, 10556, 741, 5042, 8647, 543, 2773, 563, 290, 14563, 2994, 281, 12861, 513, 8081, 633, 4804, 5113, 454, 763, 1646, 540, 513, 5885, 1565, 1604, 568, 513, 2565, 4640, 602, 666, 2569, 1449, 4160, 538, 661, 14566, 1053, 269, 1703, 568, 513, 2647, 2039, 540, 2188, 602, 666, 3565, 547, 513, 5885, 1565, 1604, 269, 2290, 540, 1346, 2188, 568, 519, 1646, 540, 2318, 4116, 24713, 757, 685, 3347, 563, 763, 10661, 540, 971, 3347, 1118, 1053, 1745, 513, 2631, 540, 3972, 543, 1489, 269, 4340, 547, 3173, 950, 1053, 1995, 2318, 4606, 1287, 789, 723, 1732, 2773, 538, 4255, 543, 824, 20241, 602, 1491, 1747, 538, 519, 4928, 269, 14755, 267, 519, 10661, 540, 2312, 6788, 543, 5955, 568, 513, 2565, 5057, 540, 513, 11215, 1565, 1604, 602, 11942, 1053, 685, 1967, 269, 1879, 3610, 1711, 2312, 6788, 543, 2285, 2312, 543, 13801, 5955, 267, 789, 4383, 547, 2569, 1053, 685, 10462, 269, 769, 519, 3486, 3332, 267, 1164, 2157, 540, 10462, 723, 1044, 17047, 609, 1164, 2157, 540, 1449, 4160, 563, 1103, 1840, 267, 538, 519, 2796, 540, 513, 11215, 1565, 1604, 3610, 1058, 1463, 741, 3646, 547, 21630, 6044, 547, 2569, 1053, 685, 1449, 4160, 269, 13018, 267, 3610, 267, 945, 946, 21630, 14292, 2994, 4383, 547, 1935, 1142, 2875, 538, 513, 2123, 1259, 269, 901, 2636, 3610, 547, 1174, 519, 1053, 685, 7965, 269, 9182, 267, 21630, 14292, 2994, 948, 3610, 547, 2285, 547, 1053, 519, 4316, 547, 3986, 741, 1983, 543, 1702, 538, 1808, 10616, 563, 7661, 267, 824, 2994, 267, 602, 3610, 666, 946, 547, 2569, 661, 14566, 1053, 685, 1449, 4160, 1331, 281, 519, 1374, 540, 5432, 543, 796, 3711, 27631, 1449, 4247, 543, 12043, 267, 519, 15494, 540, 1053, 685, 6959, 538, 513, 11215, 6073, 543, 519, 11865, 540, 2312, 543, 13801, 1344, 827, 519, 4255, 685, 4247, 563, 14818, 4160, 13514, 513, 1713, 4161, 547, 20700, 307, 1053, 262, 1134, 5630, 269, 1635, 14344, 519, 1764, 540, 1449, 4160, 543, 7598, 3617, 2994, 267, 3610, 666, 948, 1053, 7753, 713, 21677, 543, 6536, 513, 2318, 1565, 1604, 269, 901, 2376, 7000, 513, 2647, 2039, 540, 2565, 2994, 602, 4217, 661, 14566, 3610, 547, 2569, 1053, 685, 1449, 4160, 1519, 519, 1646, 540, 513, 5885, 1565, 1604, 267, 519, 2318, 4116, 24713, 757, 685, 3347, 267, 519, 10661, 540, 2312, 6788, 543, 5955, 267, 519, 21630, 14292, 2994, 267, 3092, 269, 27009, 3872, 3906, 991, 547, 1489, 3610, 547, 2936, 2994, 547, 11574, 1449, 4160, 543, 3895, 661, 14566, 1053, 685, 1134, 5630, 269, 1879, 3610, 3442, 519, 3617, 4640, 1058, 2015, 2188, 7700, 2188, 267, 799, 3310, 1449, 4160, 1519, 1893, 7496, 267, 2686, 3604, 267, 14542, 640, 609, 519, 4152, 3898, 267, 4008, 543, 2085, 269, 0, 8893, 4643, 281, 594, 991, 513, 1007, 15908, 454, 291, 4851, 281, 476, 2568, 3764, 454, 16215, 476, 273, 281, 769, 1250, 5131, 5384, 454, 8893, 476, 275, 281, 594, 991, 513, 1007, 15908, 454, 29020, 281, 1635, 519, 1439, 540, 713, 3992, 267, 1053, 786, 581, 2111, 547, 2911, 827, 741, 7375, 543, 4690, 1644, 547, 12348, 267, 4766, 741, 2833, 609, 1114, 12348, 267, 543, 946, 13450, 602, 2154, 12908, 1495, 338, 610, 1102, 8181, 1161, 7157, 563, 12606, 519, 3992, 1544, 269, 0, 763, 3395, 10073, 540, 3167, 6472, 814, 8507, 538, 606, 2799, 3747, 585, 3167, 6174, 630, 14110, 264, 12123, 5989, 269, 1677, 3986, 519, 2500, 2359, 540, 12123, 10473, 267, 2087, 12123, 4398, 267, 543, 7413, 10512, 3790, 267, 519, 29789, 5464, 3926, 814, 2097, 883, 1404, 269, 901, 2376, 786, 2263, 519, 4214, 267, 5106, 267, 543, 2640, 540, 713, 3926, 267, 6462, 676, 513, 1483, 8996, 2013, 1353, 563, 1432, 568, 519, 932, 24147, 16424, 27620, 888, 763, 932, 24147, 16424, 27620, 568, 606, 10995, 1062, 18705, 585, 5464, 543, 13327, 4370, 2789, 12601, 5056, 619, 269, 4706, 9030, 1909, 3322, 5464, 12123, 14768, 543, 556, 718, 20814, 873, 1759, 593, 519, 5122, 4390, 267, 4180, 519, 12123, 6728, 666, 21276, 569, 1489, 2789, 12601, 5056, 619, 1510, 18731, 6617, 269, 901, 2029, 9060, 7839, 3498, 538, 5010, 5468, 267, 1519, 18736, 6266, 267, 28737, 267, 543, 24756, 28503, 899, 544, 8712, 267, 6995, 15945, 267, 543, 14060, 563, 1692, 6496, 519, 932, 24147, 16424, 27620, 7358, 622, 888, 288, 269, 18763, 5295, 6182, 1749, 454, 763, 12123, 6728, 568, 4448, 547, 513, 6131, 1379, 7470, 1141, 782, 1379, 568, 14311, 21248, 547, 519, 12123, 6728, 779, 4238, 269, 769, 713, 14764, 267, 519, 2139, 1379, 585, 12123, 3788, 3586, 269, 1306, 12601, 5056, 619, 1921, 543, 20006, 12123, 267, 519, 5464, 3926, 30397, 741, 14768, 543, 23799, 1026, 2373, 873, 607, 519, 1297, 540, 5056, 619, 4679, 269, 901, 11151, 7470, 20358, 267, 4180, 519, 6617 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 661, 289, 4753, 293, 779, 8942, 547, 12954, 543, 1489, 519, 454, 15105, 543, 8313, 540, 1453, 779, 2835, 269, 2290, 1259, 519, 454, 6716, 5314, 1281, 713, 568, 547, 1418, 1047, 513, 1433, 4023, 543, 513, 6735, 454, 1721, 519, 1655, 15337, 1014, 1453, 779, 1433, 1142, 1032, 563, 22492, 3292, 609, 4670, 267, 24218, 267, 1895, 2542, 267, 1603, 454, 663, 5373, 11925, 543, 1650, 339, 25527, 616, 2966, 547, 1217, 543, 454, 1231, 335, 790, 519, 8436, 547, 519, 1453, 779, 1433, 5399, 563, 21900, 657, 693, 661, 289, 4753, 293, 454, 13640, 944, 267, 24410, 342, 267, 632, 454, 324, 1199, 3438, 8735, 334, 267, 2353, 22152, 320, 2593, 267, 1133, 525, 1723, 267, 6820, 454, 290, 2086, 5218, 585, 2069, 267, 589, 984, 267, 670, 643, 657, 267, 8734, 756, 267, 4643, 454, 290, 5055, 639, 674, 4637, 267, 661, 289, 4753, 293, 267, 594, 2975, 291, 267, 0, 763, 2634, 666, 711, 16641, 1279, 3856, 13907, 269, 1280, 6093, 2836, 3249, 320, 3327, 3821, 25356, 3461, 269, 1261, 23119, 689, 513, 3668, 540, 7513, 269, 3571, 1560, 666, 711, 7558, 7513, 267, 621, 4679, 6089, 267, 25182, 8405, 543, 2539, 17873, 267, 1247, 519, 1560, 3170, 543, 14159, 9726, 14189, 4679, 269, 23883, 621, 568, 3648, 6829, 538, 1453, 269, 5753, 609, 513, 2462, 17987, 267, 6094, 29438, 5523, 543, 28795, 8405, 269, 16842, 15374, 269, 634, 12779, 267, 22376, 1375, 880, 543, 11213, 269, 6270, 1453, 2744, 2597, 267, 855, 741, 2168, 4222, 568, 711, 2799, 269, 1358, 1205, 3170, 267, 1831, 22376, 1375, 880, 543, 1166, 629, 2421, 269, 1215, 1279, 3788, 9808, 559, 269, 8056, 2664, 2299, 1310, 23232, 689, 1776, 4576, 2253, 547, 2744, 2597, 267, 1831, 10690, 543, 1166, 629, 2421, 267, 543, 1310, 513, 1247, 789, 2408, 30046, 269, 14904, 2836, 3249, 320, 3327, 3821, 15991, 18214, 519, 24383, 282, 6829, 789, 1745, 9854, 538, 519, 7953, 543, 9221, 282, 16246, 519, 24383, 267, 543, 789, 616, 1419, 2182, 547, 13236, 267, 669, 3183, 269, 1358, 723, 1169, 2601, 547, 4887, 8467, 543, 29345, 3101, 269, 14856, 4713, 1860, 1472, 269, 901, 1826, 540, 3461, 568, 2356, 1572, 1085, 549, 995, 748, 282, 3767, 713, 1533, 568, 1572, 519, 27666, 7702, 282, 2836, 3249, 320, 3327, 3821, 568, 2620, 1884, 2354, 7595, 269, 901, 6646, 568, 2111, 547, 23309, 7184, 883, 519, 3157, 540, 1272, 543, 1379, 2685, 1860, 519, 3461, 781, 11156, 269, 0, 5278, 2015, 2067, 3154, 30074, 547, 824, 8093, 10173, 968, 20357, 621, 32307, 476, 2004, 268, 2568, 260, 1447, 3327, 8166, 630, 4596, 273, 264, 1282, 13674, 1848, 1809, 936, 519, 1576, 540, 922, 685, 1911, 4458, 14438, 2067, 3154, 685, 3119, 5057, 814, 968, 320, 10237, 894, 16550, 3152, 982, 476, 1789, 2053, 602, 540, 2910, 273, 1848, 272, 4340, 547, 519, 6424, 30554, 25431, 7690, 267, 968, 300, 996, 2033, 568, 3743, 585, 476, 1839, 260, 540, 2907, 4767, 2242, 547, 3047, 779, 2916, 1848, 5565, 1007, 2090, 1265, 4516, 779, 15655, 5434, 20427, 896, 516, 19959, 563, 5472, 476, 1240, 5755, 13324, 2371, 267, 4867, 23478, 476, 4649, 260, 540, 22598, 779, 5201, 786, 9505, 1524, 676, 476, 10711, 271, 269, 634, 6871, 540, 2842, 543, 3859, 1648, 593, 519, 7470, 786, 4473, 689, 476, 280, 260, 547, 476, 1789, 260, 1282, 519, 1482, 942, 1974, 267, 968, 6112, 2067, 3154, 5108, 786, 3136, 547, 1683, 6109, 3490, 4452, 10727, 1848, 634, 11662, 814, 1305, 513, 1698, 593, 3282, 521, 1343, 5434, 267, 7550, 513, 3327, 3454, 543, 786, 2569, 15655, 5434, 476, 3393, 260, 936, 519, 1985, 8717, 269, 23225, 1131, 723, 4397, 971, 4507, 1991, 547, 519, 715, 7894, 779, 9550, 543, 972, 616, 6404, 6114, 547, 22598, 779, 8693, 4643, 563, 763, 2487, 23318, 602, 966, 16695, 543, 5842, 16205, 657, 723, 5293, 21368, 547, 6443, 519, 670, 2207, 302, 5685, 3496, 5358, 267, 543, 1118, 519, 16296, 8178, 539, 11162, 6052, 630, 303, 19781, 264, 1982, 2139, 547, 741, 3959, 5411, 267, 568, 519, 1034, 2487, 16315, 540, 713, 1982, 779, 3356, 1369, 5842, 17630, 269, 744, 10895, 728, 568, 849, 1634, 547, 581, 5461, 543, 972, 1767, 547, 581, 824, 2950, 3168, 693, 713, 1982, 269, 15566, 2542, 670, 2207, 302, 5685, 3496, 1982, 9750, 883, 5842, 17630, 20681 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2685, 2228, 267, 543, 602, 454, 4621, 28366, 1174, 1018, 789, 616, 9878, 585, 269, 1452, 2238, 9785, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 19901, 1315, 1546, 21082, 31055, 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, 1849, 13831, 5811, 543, 4706, 13335, 538, 2817, 25827, 13317, 10495, 692, 5141, 13831, 2079, 568, 513, 8579, 4480, 602, 3322, 23454, 2147, 3615, 883, 13421, 1759, 593, 741, 4162, 269, 769, 824, 1913, 267, 621, 2337, 721, 547, 19665, 1114, 9988, 883, 3982, 2516, 1759, 593, 1978, 4632, 610, 10305, 269, 901, 1505, 814, 6591, 8560, 538, 1585, 4610, 267, 1519, 1870, 543, 9297, 267, 1813, 547, 922, 2702, 547, 1683, 6209, 4030, 827, 1950, 9259, 269, 2290, 971, 3498, 568, 538, 12570, 3084, 7214, 3854, 630, 301, 2975, 1070, 799, 4016, 547, 519, 7104, 1702, 267, 1983, 267, 543, 5759, 11251, 538, 513, 4182, 781, 13781, 267, 5238, 267, 543, 3906, 780, 6524, 18167, 4514, 883, 875, 12440, 2079, 666, 581, 4294, 538, 715, 2975, 4879, 267, 1577, 781, 1101, 5581, 930, 1883, 2474, 269, 25827, 3854, 13315, 2185, 1292, 3334, 281, 1480, 3854, 267, 2344, 3854, 267, 1184, 3854, 267, 543, 25430, 3854, 269, 5274, 3854, 2882, 519, 1702, 267, 1983, 267, 543, 21941, 540, 2043, 1369, 606, 3919, 610, 2197, 269, 10369, 3854, 4564, 519, 1871, 540, 513, 2754, 610, 4182, 781, 10639, 267, 6216, 6284, 267, 543, 3347, 609, 5561, 543, 8639, 269, 6713, 3854, 25701, 547, 519, 1949, 267, 5773, 267, 543, 10873, 602, 5512, 2500, 2504, 543, 6765, 540, 5370, 543, 2533, 269, 20622, 531, 3854, 6212, 593, 5647, 267, 5876, 267, 543, 20835, 267, 799, 616, 1898, 585, 24569, 1279, 3856, 2208, 543, 1646, 780, 3086, 267, 1394, 547, 938, 3312, 2243, 910, 1946, 946, 12440, 2079, 538, 715, 2975, 4879, 286, 1677, 2626, 713, 267, 649, 991, 547, 1174, 519, 7687, 540, 2757, 3800, 540, 2804, 2773, 267, 971, 607, 12654, 269, 2755, 12654, 2488, 3407, 1344, 827, 513, 2197, 781, 2949, 3977, 267, 621, 1281, 711, 7001, 519, 2407, 2039, 540, 2188, 602, 3565, 547, 1279, 3856, 13884, 543, 6940, 269, 1280, 3236, 267, 12654, 1281, 711, 2272, 585, 2825, 12159, 267, 1514, 8635, 267, 610, 11761, 540, 2686, 6561, 269, 5047, 267, 13461, 9003, 593, 12654, 607, 513, 2268, 540, 3356, 949, 1291, 14519, 547, 11654, 2110, 3856, 12374, 693, 519, 13258, 540, 1279, 3856, 9541, 538, 30608, 7221, 899, 2069, 267, 1382, 267, 543, 1646, 780, 3528, 4334, 267, 715, 2975, 3091, 513, 811, 11455, 5133, 593, 513, 4182, 781, 5763, 543, 8171, 269, 898, 17767, 602, 513, 2197, 781, 3020, 1761, 6013, 711, 1152, 538, 922, 2168, 2200, 855, 849, 538, 922, 1004, 267, 2528, 267, 543, 5238, 269, 1635, 7893, 543, 7421, 891, 3309, 7516, 540, 7214, 3854, 267, 3173, 543, 14519, 666, 2744, 513, 1732, 1620, 540, 1018, 11479, 13455, 2208, 543, 1646, 780, 3383, 1141, 1281, 12440, 2079, 2097, 538, 286, 1306, 5018, 4505, 267, 12440, 2079, 2636, 721, 547, 1895, 2147, 9988, 1759, 593, 1808, 7355, 269, 769, 519, 2796, 540, 715, 2975, 4879, 267, 12440, 2079, 666, 948, 721, 2697, 3270, 543, 21374, 1851, 519, 2185, 3334, 540, 7214, 3854, 543, 741, 2078, 609, 10832, 540, 2804, 2773, 899, 12654, 269, 1280, 1383, 267, 676, 6313, 1239, 593, 1480, 3854, 267, 2344, 3854, 267, 1184, 3854, 267, 543, 25430, 3854, 2066, 2789, 2477, 267, 19767, 666, 1711, 13421, 540, 6082, 609, 13380, 2157, 540, 7214, 3854, 543, 5635, 873, 1996, 1142, 824, 538, 2474, 540, 2804, 4093, 780, 11101, 267, 12440, 2079, 666, 7866, 4277, 4030, 827, 519, 16799, 1063, 1114, 2010, 540, 7214, 3854, 269, 1280, 3236, 267, 2477, 609, 2178, 1480, 3854, 1522, 8858, 2362, 2157, 540, 25430, 3854, 1813, 547, 519, 4527, 540, 9952, 3048, 2209, 543, 11639, 269, 6684, 267, 7347, 1184, 3854, 1223, 12927, 2344, 3854, 998, 29765, 4238, 543, 3608, 3761, 11800, 267, 3056, 547, 4824, 6075, 9547, 543, 14017, 269, 17291, 891, 4296, 666, 1217, 3609, 3664, 6322, 693, 14304, 4617, 2127, 540, 7214, 3854, 1247, 2679, 2390, 4540, 9342, 780, 2414, 9414, 875, 12440, 2079, 666, 581, 4294, 538, 2259, 267, 2015, 513, 1353, 5342, 676, 10557, 1696, 620, 269, 630, 1001, 276, 264, 11331, 834, 288, 22414, 5530, 540, 2817, 25827, 13317, 538, 7489, 18831, 1701, 4635, 8470, 1239, 689, 476, 1691, 7489, 11615, 17364, 476, 1220, 271, 268, 1001, 272, 267, 519, 4589, 6964, 3815, 2079, 543, 12440, 2079, 547, 8495, 519, 3095, 1137, 1063, 7214, 3854, 543, 2804, 2208, 269, 4256, 4681, 7000, 1614, 3982, 13421, 540, 2477, 6353, 676, 8795, 5232, 540, 7214, 3854, 1646, 281, 4359, 267, 13591, 267, 543, 1447, 31465, 269, 25408, 267, 789, 1336, 602, 4359, 11615, 17820, 6793, 2773, 2066, 782, 2185, 3334, 540, 7214, 3854, 3379, 547, 741, 13413, 269, 5015, 267, 972, 729, 2963, 540, 9148, 541, 885, 1063, 1114, 3029, 540, 7214, 3854, 267, 11021, 602, 4507, 6322, 693, 7393, 835, 2460, 540, 7214, 3854, 1223, 723, 678, 21451, 2360, 2429, 519, 3003, 1062, 780, 1103, 3932, 267, 12440, 2079, 568, 513, 3532, 1907, 585, 12570, 3084, 7214, 3854, 543, 922, 2078, 609, 2804, 1646, 269, 1635, 7114, 3270, 543, 21374, 1851, 519, 1585, 3334, 540, 7214, 3854, 267, 3173, 543, 14519, 666, 2744, 3407, 4030, 883, 1018, 11479, 13455, 2208, 543, 1646, 269, 1452, 4681, 666, 1287, 1217, 6098, 3609, 7459, 2966, 547, 24772, 12755, 543, 1628, 2390, 4540, 9342, 538, 513, 2016, 2197, 781, 7214, 3854, 3490, 780, 27066, 912, 299, 2465, 267, 670, 11607, 306, 1421, 932, 537, 267, 595, 11607, 290, 1421, 1299, 20568, 267, 570, 11607, 295, 269, 630, 1001, 276, 1040, 589, 13354, 1353, 540, 3084, 7214, 3854, 538, 7489, 2477, 269, 4750, 540, 6355, 3194, 267, 476, 6924, 263, 280, 1070, 476, 15876, 278, 268, 14690, 277, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1607, 1353, 568, 6131, 547, 519, 7634, 540, 2152, 540, 2359, 1764, 593, 3084, 7214, 3854, 543, 922, 7293, 2609, 609, 519, 2832, 547, 2327, 4264, 2804, 2208, 269, 634, 3483, 540, 713, 1957, 729, 547, 2697, 513, 1895, 540, 2477, 267, 585, 799, 11528, 1764, 593, 3084, 7214, 3854, 2488, 3608, 1646, 540, 519, 3084, 4346, 267, 676, 9591, 513, 2078, 1063, 2609, 540, 7214, 3854, 543, 971, 13525, 540, 1646, 540, 3084, 4346, 607, 14407, 6469, 1587, 269, 634, 1353, 1031, 519, 2409, 540, 9756, 543, 12440, 2079, 267, 543, 519, 11528, 1935, 543, 519, 1935, 540, 3798, 9109, 26856, 543, 6931, 547, 519, 1785, 1005, 543, 16759, 540, 3084, 7214, 3854, 267, 2687, 547, 799, 519, 8545, 13408, 971, 2609, 607, 1480, 267, 2344, 267, 1184, 543, 25430, 1698, 8558, 269, 634, 9756, 2079, 7000, 513, 1164, 2318, 2078, 1063, 519, 4540, 3084, 7214, 3854, 543, 519, 1377, 540, 2804, 1646, 585, 519, 2919, 2477, 267, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 10803, 1315, 1849, 13831, 5811, 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 ]
[ 636, 6877, 1315, 6424, 16515, 334, 1506, 476, 271, 4037, 271, 3583, 280, 2767, 279, 1315, 476, 7818, 268, 271, 4037, 271, 3583, 280, 2767, 280, 1315, 27834, 543, 11773, 538, 23958, 3427, 281, 2598, 4184, 1149, 267, 2598, 3321, 543, 519, 16362, 622, 1315, 6754, 2311, 330, 8657, 476, 271, 4037, 271, 3583, 280, 4097, 271, 1315, 476, 7818, 268, 271, 4037, 271, 3583, 280, 4097, 278, 1315, 32213, 4065, 281, 4139, 966, 7860, 593, 26225, 543, 10456, 630, 22137, 538, 32213, 4065, 10022, 264, 1315, 3223, 603, 11831, 731, 476, 271, 4037, 271, 3583, 280, 4510, 279, 1315, 476, 7818, 268, 271, 4037, 271, 3583, 280, 4510, 277, 1315, 634, 5020, 543, 4518, 540, 11334, 281, 4139, 21126, 538, 21744, 8648, 1315, 595, 269, 4303, 476, 271, 4037, 271, 3583, 4817, 277, 272, 1315, 476, 7818, 268, 271, 4037, 271, 3583, 4817, 277, 280, 1315, 2817, 15099, 1315, 3220, 681, 1506, 26186, 603, 476, 271, 4037, 271, 3583, 280, 6858, 278, 1315, 476, 7818, 268, 271, 4037, 271, 3583, 280, 6858, 276, 1315, 10017, 540, 4065, 281, 589, 18361, 585, 11334, 1315, 6742, 2106, 7043, 476, 271, 4037, 271, 3583, 9032, 274, 272, 1315, 476, 7818, 268, 271, 4037, 271, 3583, 9032, 274, 277, 1315, 15332, 519, 2817, 15099, 281, 3427, 11310, 543, 5980, 538, 519, 5177, 543, 2342, 630, 22913, 26643, 538, 4065, 10022, 264, 1315, 5584, 334, 595, 9567, 2421, 476, 271, 4037, 271, 3583, 7176, 273, 271, 1315, 476, 7818, 268, 271, 4037, 271, 3583, 7176, 273, 279, 1315, 1234, 14127, 4065, 281, 3245, 17959, 547, 27159, 630, 14807, 1049, 7827, 543, 4886, 10022, 4700, 1315, 18148, 2274, 9109, 476, 271, 4037, 5881, 272, 19740, 280, 1315, 476, 7818, 268, 271, 4037, 5881, 272, 19740, 280, 1315, 2382, 6627, 12983, 281, 32167, 2812, 267, 12140, 543, 11819, 4065, 630, 19733, 267, 9177, 543, 18880, 264, 1315, 5689, 2274, 1182, 614, 476, 271, 4037, 271, 3583, 279, 7761, 278, 1315, 476, 7818, 268, 271, 4037, 271, 3583, 279, 7761, 273, 1315, 15154, 3778, 476, 275, 268, 1691, 281, 9752, 267, 4804, 267, 4354, 878, 3121, 543, 18877, 630, 27650, 19648, 10022, 264, 1315, 3220, 16827, 645, 720, 476, 271, 4037, 271, 3583, 6434, 278, 276, 1315, 476, 7818, 268, 271, 4037, 271, 3583, 6434, 278, 277, 1315, 25816, 23135, 340, 543, 4065, 281, 20450, 540, 19750, 7869, 1315, 3220, 12130, 717, 1066, 325, 749, 476, 271, 4037, 271, 3583, 8660, 278, 273, 1315, 476, 7818, 268, 271, 4037, 271, 3583, 8660, 278, 276, 1315, 2274, 3058, 7216, 281, 7201, 12392, 6348, 10687, 921, 5406, 538, 14451, 4065, 630, 31572, 30793, 2471, 6356, 1947, 264, 1315, 31615, 345, 962, 528, 651, 476, 271, 4037, 271, 3583, 280, 1704, 271, 1315, 476, 7818, 268, 271, 4037, 271, 3583, 280, 1704, 271, 1315, 6554, 267, 29714, 543, 15642, 1049, 19120, 5874, 281, 1323, 22845, 540, 8889, 1315, 8834, 681, 12000, 3430, 476, 271, 4037, 271, 3583, 280, 4366, 271, 1315, 476, 7818, 268, 271, 4037, 271, 3583, 280, 4366, 275, 1315, 3194, 532, 9752, 281, 6396, 3098, 543, 13756, 585, 4197, 16677, 698, 9609, 1315, 3627, 700, 965, 3757, 454, 763, 3804, 540, 713, 3896, 568, 547, 948, 6300, 11825, 5635, 1433, 5777, 689, 1114, 454, 341, 754, 832, 1315, 23965, 543, 1265, 10464, 2835, 543, 10464, 2852, 9499, 269, 3509, 10958, 454, 9248, 543, 10958, 1257, 2835, 616, 2322, 593, 9042, 676, 31680, 1433, 21625, 543, 454, 4134, 12248, 29481, 4948, 269, 2353, 596, 991, 547, 798, 568, 547, 3406, 543, 1265, 873, 269, 901, 454, 338, 924, 849, 2488, 1082, 1433, 6402, 547, 930, 2101, 29481, 585, 1433, 3877, 543, 454, 1504, 19420, 976, 269, 1809, 581, 2386, 711, 3533, 7914, 883, 1022, 21869, 648, 3135, 547, 4444, 269, 11408, 454, 28781, 834, 24718, 12313, 257, 7735, 547, 5635, 5777, 1101, 269, 1411, 1131, 581, 6126, 454, 7474, 875, 1454, 596, 1131, 4688, 676, 3257, 1433, 3902, 6476, 563, 24246, 13242, 7734, 543, 13242, 7956, 9248, 454, 2005, 781, 4742, 811, 543, 811, 2442, 547, 4444, 1031, 2835, 543, 1031, 9499, 1851, 454, 3712, 5076, 1053, 585, 9494, 269, 7756, 2034, 1688, 2835, 689, 1114, 23965, 454, 16673, 723, 1114, 2175, 269, 5269, 2386, 547, 2638, 1031, 1433, 2783, 689, 519, 454, 31805, 781, 6609, 269, 4746, 1082, 1433, 2344, 17541, 2322, 2835, 585, 9042, 689, 1507, 454, 1504, 560, 2803, 543, 1367, 23965, 269, 5269, 2386, 547, 2638, 4558, 2689, 585, 22673, 781, 454, 516, 1584, 566, 952, 2009, 269, 1403, 596, 616, 538, 513, 31657, 547, 1205, 513, 1433, 610, 1837, 585, 707, 454, 5035, 267, 596, 1058, 3442, 9140, 1007, 2835, 585, 5401, 11288, 563, 24246, 7734, 689, 14579, 13474, 454, 5978, 3804, 568, 547, 3533, 1265, 519, 10464, 652, 2835, 543, 2852, 9499, 585, 596, 2676, 18485, 1007, 543, 1031, 267, 689, 513, 1804, 1297, 540, 29481, 5001, 269, 17497, 938, 454, 1504, 3406, 9817, 30321, 1433, 5777, 689, 2475, 267, 4516, 267, 5177, 267, 1715, 10215, 267, 5245, 2676, 301, 5930, 4133, 267, 5333, 267, 8581, 267, 5125, 267, 543, 3567, 269, 2859, 29481, 689, 824, 2477, 454, 15884, 581, 3773, 4166, 269, 6969, 9140, 689, 513, 4914, 1433, 4558, 610, 1433, 6300, 267, 581, 2386, 454, 1729, 2638, 519, 11288, 3681, 269, 898, 781, 711, 8966, 602, 11288, 1223, 1491, 1079, 547, 454, 22764, 4374, 543, 1942, 1223, 581, 2789, 540, 513, 6469, 11288, 5279, 563, 8923, 3643, 6435, 8525, 585, 5999, 454, 2958, 8973, 9768, 1315, 9768, 268, 1015, 1315, 9768, 1015, 267, 9768, 268, 1724, 1315, 9768, 1724, 267, 661, 3198, 1315, 661, 3198, 268, 1724, 267, 543, 8835, 0, 12812, 1022, 2262, 538, 513, 4214, 610, 1383, 547, 1265, 519, 7127, 585, 602, 2262, 454, 16591, 693, 6972, 610, 16246, 543, 12691, 547, 2887, 454, 604, 596, 3802, 609, 513, 5614, 344, 1900, 267, 596, 3802, 3533, 543, 609, 513, 2603, 540, 1648, 454, 16341, 821, 945, 814, 513, 12902, 3802, 7575, 741, 1560, 689, 2427, 547, 2427, 607, 789, 3802, 454, 320, 6109, 2990, 585, 707, 3952, 593, 513, 2627, 267, 2523, 835, 602, 568, 2352, 547, 1796, 593, 610, 3802, 2066, 454, 604, 1004, 3802, 538, 1900, 267, 1142, 1268, 7575, 741, 3952, 693, 4010, 519, 1482, 942, 607, 519, 1866, 454, 604, 1004, 3802, 856, 540, 1900, 267, 789, 798, 711, 1832, 741, 3952, 3001, 693, 519, 1482, 942, 607, 519, 1964, 540, 513, 1895, 454, 19769, 532, 7444, 1317, 540, 1373, 1804, 543, 5230, 454, 320, 1826, 540, 688, 1009, 1803, 799, 814, 513, 1279, 267, 6094, 14816, 540, 4552, 3395, 1524, 519, 1394, 540, 519, 8405, 454, 320, 3126, 540, 3756, 538, 799, 519, 16771, 540, 1142, 3014, 4249, 538, 519, 1985, 3014, 2394, 972, 568, 835, 2483, 263, 1993, 513, 22267, 264, 547, 581, 2111, 547, 5968, 543, 1921, 609, 8723, 1004, 454, 288, 1590, 585, 4896, 609, 606, 1719, 538, 519, 4657, 3068, 540, 1893, 269, 634, 5839, 17524, 534, 9218, 5816, 7710, 2296, 607, 621, 568, 9275, 1472, 519, 1158, 2221, 563, 10403, 519, 28445, 4214, 540, 1913, 1031, 547, 4766, 2576, 521, 3802, 689, 519, 5839, 17524, 534, 2296, 9218, 910, 513, 1863, 2296, 8675, 2228, 609, 519, 28445, 543, 609, 12332, 689, 5839, 17524, 534, 23255, 17290, 269, 0, 5319, 2651, 618, 281, 476, 30663, 269, 476, 1001, 275, 1153, 4484, 3446, 281, 589, 563, 297, 644, 2471, 1767, 281, 834, 25802, 11826, 6437, 543, 1360, 1164, 6788, 4799, 291, 783, 25082, 3292, 538, 519, 9503, 454, 5327, 1068, 590, 720, 16504, 267, 13495, 18288, 267, 1546, 518, 9503, 1133, 1881, 3427, 10588, 454, 2171, 616, 1631, 16561, 27350, 585, 15206, 267, 543, 1101, 17263, 1053, 585, 519, 13495, 18288, 8056, 619, 542, 5358, 269, 14348, 707, 1126, 4324, 689, 519, 1982, 286, 8437, 585, 2859, 6176, 563, 300, 663, 18288, 5741, 17644, 912, 19119, 540, 7216, 5678, 21733, 9974, 630, 3412, 11302, 542, 994, 10932, 936, 519, 2063, 1906, 5756, 593, 2038, 1893, 11601, 814, 7152, 602, 4358, 513, 12242, 1893, 693, 606, 2038, 2085, 2636, 1053, 547, 1831, 811, 21295, 538, 602, 12242, 1893, 1247, 1869, 4509, 21711, 538, 741, 3119, 1893, 269, 2859, 9670, 568, 519, 2487, 1382, 602, 2982, 519, 2318, 2360, 540, 12242, 1893, 1565, 593, 519, 1646, 540, 519, 2634, 269, 2368, 540, 519, 4681, 538, 519, 1382, 1331, 912, 3963, 13495, 18288, 4457, 286, 0, 268, 11270, 545, 27678, 454, 11900, 25378, 543, 1631, 1158, 4583, 7044, 689, 7905, 11184, 6742, 2106, 2717, 328, 752, 4752, 543, 1010, 9164, 693, 519, 2160, 540, 3502, 1154, 5069, 7998, 8257, 563, 268, 9576, 5980, 26844, 6182, 1218, 30868, 454, 8512, 2996, 1222, 6182, 1218, 540, 909, 547, 11278, 274, 267, 1822, 616, 2139, 547, 5512, 1053, 267, 9907, 476, 276, 1107, 476, 1240, 267, 547, 4163, 856, 2257, 267, 2029, 267, 4702, 610, 6128, 630, 23727, 264, 3785, 538, 5177, 3506, 563, 268, 4437, 32441, 16514, 540, 519, 4303, 910, 631, 13612, 454, 11900, 25378, 1382, 2592, 689, 24118, 3744, 1472, 519, 1158, 269, 634, 14222, 2298, 540, 891, 2592, 568, 20083, 676, 519, 13801, 4967, 609, 1142, 835, 269, 634, 6538, 3406, 9744, 2337, 3610, 1413, 585, 3992, 2200, 563, 268, 5254, 15598, 7982, 560, 720, 3163, 454, 16631, 7044, 602, 1491, 721, 3297, 519, 10207, 547, 1413, 693, 519, 960, 540, 1382, 3744, 543, 2257, 6703, 269, 1412, 763, 1158, 781, 1034, 1271, 14420, 16830, 262, 568, 835, 540, 938, 12797, 2572, 563, 268, 1773, 23975, 5800, 531, 454, 8139, 1141, 543, 950, 28506, 2023, 2049, 693, 1114, 17909, 538, 519, 5836, 2636, 3744, 547, 1205, 513, 2518, 1620, 540, 519, 1599, 543, 1072, 540, 519, 5836, 689, 1507, 547, 2518, 10253, 563, 268, 14136, 3047, 910, 715, 2207, 290, 454, 301, 2207, 290, 781, 8366, 10888, 10116, 569, 12139, 3568, 782, 519, 5767, 2825, 2257, 3377, 269, 589, 1390, 4199, 585, 3610, 543, 1053, 563, 268, 645, 7034, 13612, 8249, 585, 12698, 476, 1556, 268, 1691, 454, 10932, 2200, 585, 3610, 602, 616, 2966, 547, 3142, 2609, 540, 5969, 6316, 1382, 883, 519, 4928, 543, 948, 8300, 519, 1985, 5108, 540, 3173, 563, 268, 2622, 17546, 769, 476, 1001, 276, 454, 295, 1343, 593, 13241, 12333, 4886, 585, 12729, 543, 18520, 3610, 634, 3163, 7467, 267, 15875, 5441, 29443, 476, 736, 628, 1299, 9045, 476, 2641, 560, 5437, 476, 1001, 276, 454, 268, 715, 2207, 290, 13334, 19305, 454, 11900, 2869, 1049, 2110, 7044, 689, 715, 2207, 290, 543, 824, 1382, 4891, 269, 3776, 19463, 3381, 568, 689, 513, 1382, 10196, 945, 6941, 875, 1010, 1382, 814, 5280, 547, 1397, 602, 16865, 10987, 585, 7693, 26853, 941, 7783, 609, 15495, 563, 268, 634, 2347, 1568, 540, 8176, 16817, 2228, 910, 589, 295, 13612, 454, 1607, 3896, 3568, 936, 476, 11152, 267, 1822, 3817, 540, 3406, 762, 1257, 543, 476, 18891, 267, 1822, 5907, 2592, 267, 693, 2547, 835, 12013, 541, 540, 782, 1634, 16817, 12326, 267, 25735, 547, 519, 5207, 14046, 4441, 563, 268, 2622, 6611, 10432, 476, 1001, 276, 454, 7476, 3238, 609, 2622, 6611, 10432, 256, 23883, 607, 2663, 713, 1032, 267, 3703, 13562, 2246, 7033, 3212, 820, 786, 2253, 1010, 476, 277, 18881, 3251, 593, 519, 4139, 6611, 13749, 543, 621, 781, 513, 1390, 4316, 585, 3506, 2066, 519, 5177, 547, 1205, 3238, 538, 2230, 3408, 563, 268, 634, 25723, 22003, 32602, 301, 5177, 15822, 15434, 9535, 8212, 12875, 24842, 1299, 4959, 10485, 454, 5938, 4461, 945, 3094, 519, 5177, 29658, 4309, 513, 2951, 9886, 547, 5512, 873, 547, 2951, 547, 543, 6108, 476, 275, 2395, 3695, 519, 1284, 714, 10458, 13464, 543, 2921, 851, 538, 519, 1744, 531, 515, 557, 628, 6154, 1512, 4139, 12875, 24842, 563, 268, 595, 4041, 4338, 7704, 910, 6789, 292, 12729, 26269, 476, 1001, 276, 454, 1607, 1032, 779, 6735, 568, 827, 8888, 543, 4152, 513, 1007, 1426, 1587, 267, 513, 968, 11794, 546, 6064, 532, 536, 4593, 3726, 9731, 268, 3703, 13937, 19087, 5682, 454, 763, 19087, 5682, 6052, 13437, 6735, 568, 1394, 585, 476, 1001, 276, 543, 8273, 982, 2479, 1354, 256, 2060, 5216, 26065, 909, 585, 1178, 2125, 4502, 909, 547, 11278, 1911, 267, 1822, 267, 2981, 707, 1153, 609, 1648, 22766, 2029, 543, 4001, 707, 10453, 782, 827, 1373, 1648, 3608, 563, 268, 4210, 17097, 593, 3163, 689, 29547, 25578, 454, 7021, 476, 1911, 3946, 593, 6901, 602, 786, 3142, 2257, 547, 1272, 256, 4210 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17066, 609, 11221, 8387, 630, 3036, 815, 476, 272, 269, 4391, 282, 476, 4817, 260, 16275, 281, 476, 272, 269, 1556, 734, 272, 269, 6924, 264, 610, 1449, 4328, 1354, 12044, 4703, 630, 3036, 815, 476, 272, 269, 3393, 282, 476, 4817, 260, 16275, 281, 476, 272, 269, 1556, 734, 272, 269, 3445, 1070, 982, 3043, 13413, 1310, 14577, 585, 4143, 22097, 780, 30206, 692, 4322, 2164, 8831, 1991, 960, 16046, 2069, 267, 4747, 267, 2085, 267, 543, 5198, 547, 11186, 3270, 540, 18523, 6278, 630, 289, 2784, 344, 1696, 620, 1421, 476, 1960, 276, 282, 25347, 7723, 1299, 17713, 523, 267, 476, 1960, 274, 282, 7638, 9346, 1696, 620, 1421, 476, 1960, 276, 1040, 2859, 11932, 267, 2705, 267, 938, 4681, 20838, 519, 4644, 540, 26936, 12504, 7375, 609, 1346, 540, 741, 6074, 13222, 607, 513, 1797, 540, 29103, 1359, 29355, 1629, 31097, 269, 11569, 267, 950, 6236, 782, 23656, 919, 8195, 267, 2963, 5267, 602, 9228, 20748, 25505, 15186, 7586, 5809, 519, 5506, 540, 3742, 9525, 2066, 12303, 1169, 25246, 540, 2797, 1272, 630, 3036, 2039, 281, 476, 272, 269, 2641, 734, 273, 269, 4962, 1040, 22353, 267, 14519, 1131, 581, 1134, 15695, 547, 6536, 2175, 5009, 3390, 11007, 1063, 23466, 543, 3401, 952, 789, 29954, 790, 547, 11349, 7524, 4529, 540, 11180, 18064, 3130, 543, 7521, 269, 0, 8620, 606, 1349, 540, 513, 3621, 4760, 2376, 585, 1412, 13563, 6554, 476, 274, 324, 3299, 3358, 585, 4648, 543, 3173, 593, 519, 1888, 563, 2171, 616, 1603, 593, 3184, 1412, 10743, 543, 519, 3590, 8339, 769, 1880, 267, 3296, 1412, 8777, 1771, 538, 513, 22640, 262, 540, 1412, 13563, 6554, 543, 595, 15960, 22580, 262, 851, 269, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 310, 14176, 717, 4953, 5442, 309, 5357, 309, 3633, 286, 3299, 1412, 303, 26059, 310, 17751, 306, 9215, 17628, 8980, 30121, 8339, 3503, 513, 1007, 1770, 11331, 1412, 293, 16898, 27633, 5508, 17628, 8980, 30121, 8339, 3371, 781, 930, 1257, 585, 6667, 281, 10691, 318, 25321, 309, 12224, 3633, 318, 312, 4953, 281, 16948, 6624, 4892, 4497, 538, 2797, 2534, 593, 513, 2834, 4493, 269, 589, 5619, 5342, 538, 476, 1001, 279, 7000, 602, 3592, 476, 3583, 2600, 540, 1977, 4079, 1185, 15548, 538, 930, 1826, 540, 2797, 2962, 538, 519, 2250, 2947, 1296, 269, 1452, 2238, 3769, 7361, 1875, 1790, 5966, 2238, 602, 1705, 711, 2154, 513, 1390, 4308, 540, 5872, 609, 1866, 267, 971, 607, 19142, 4620, 1431, 267, 11589, 8369, 593, 1514, 2923, 267, 32296, 11221, 13222, 267, 610, 7700, 2724, 547, 11044, 269, 4438, 519, 1482, 1974, 267, 5111, 476, 1789, 2600, 540, 1004, 13984, 513, 2199, 2229, 5870, 610, 513, 2184, 780, 763, 2511, 1058, 11604, 602, 540, 513, 14046, 8313, 267, 711, 1153, 9499, 267, 17935, 547, 4497, 513, 3810, 18164, 5304, 609, 1360, 2620, 6791, 269, 8347, 547, 1384, 268, 10558, 4359, 6436, 267, 1210, 2930, 543, 4081, 1893, 563, 268, 3417, 2565, 2079, 540, 2487, 1382, 4681, 543, 9840, 538, 519, 2361, 267, 609, 513, 2143, 6514, 540, 12170, 1239, 543, 8579, 16097, 563, 268, 634, 2376, 1058, 2992, 519, 3178, 543, 6988, 540, 1543, 1336, 538, 1283, 2389, 1512, 9297, 13746, 267, 5497, 585, 513, 3988, 1222, 7184, 31737, 538, 519, 2361, 563, 268, 1684, 711, 1039, 2097, 909, 609, 8100, 610, 1039, 873, 693, 519, 1439, 540, 519, 2376, 269, 1403, 972, 616, 6310, 7215, 946, 513, 2953, 17623, 311, 11249, 543, 798, 711, 946, 2592, 269, 0, 3848, 476, 280, 281, 10289, 7756, 5516, 619, 543, 24371, 692, 8893, 476, 280, 269, 272, 281, 9861, 513, 7557, 10320, 13693, 656, 692, 5331, 596, 723, 1044, 10655, 2025, 30158, 585, 1296, 269, 2368, 540, 873, 1869, 960, 9985, 1247, 1866, 1522, 991, 513, 2370, 21338, 909, 269, 3767, 4952, 2576, 2501, 2059, 945, 6499, 547, 1376, 741, 1378, 11332, 7816, 6300, 855, 3085, 1405, 917, 1141, 547, 2253, 950, 621, 2501, 547, 4466, 782, 519, 2645, 543, 3937, 789, 786, 991, 269, 901, 568, 1141, 513, 12227, 22639, 899, 3057, 583, 328, 7557, 10320, 13693, 1218, 666, 948, 256, 1358, 20647, 538, 9140, 267, 9513, 267, 543, 8220, 1004, 609, 1175, 519, 1318, 6191, 585, 741, 1808, 2115, 780, 288, 12227, 22639, 22939, 1034, 540, 741, 1554, 15388, 1114, 2010, 540, 12227, 267, 6158, 547, 7218, 827, 1018, 789, 616, 3168, 585, 267, 543, 27410, 9388, 1063, 18046, 543, 23965, 269, 898, 3217, 2178, 2792, 1983, 543, 3573, 1702, 827, 1082, 6080, 547, 798, 1134, 538, 713, 4876, 269, 589, 5077, 3599, 6109, 2356, 814, 4966, 538, 1896, 4610, 865, 602, 789, 666, 4217, 4213, 8151, 689, 1426, 4393, 2371, 547, 11647, 9755, 269, 1635, 9117, 607, 513, 561, 807, 2581, 1063, 1346, 945, 1616, 547, 1205, 7759, 540, 741, 3063, 12227, 543, 1346, 10478, 585, 1808, 3688, 267, 891, 4648, 2327, 602, 1100, 3684, 4422, 30694, 543, 3025, 4991, 4010, 1018, 789, 991, 780, 7078, 912, 4131, 781, 2161, 972, 781, 513, 1507, 29221, 2044, 3168, 547, 22010, 922, 11544, 6191, 269, 1306, 513, 12227, 22639, 267, 596, 1131, 1101, 1265, 856, 1018, 2186, 540, 3575, 518, 519, 29221, 2044, 3340, 1107, 5310, 835, 5827, 540, 7829, 1804, 9424, 540, 14859, 3533, 543, 7561, 269, 8921, 267, 596, 1131, 3406, 998, 1592, 902, 540, 2139, 3575, 619, 689, 3549, 602, 616, 2901, 14656, 1524, 610, 3274, 21130, 741, 11891, 269, 2991, 29466, 930, 5078, 3681, 267, 596, 1131, 1287, 1921, 519, 29221, 2044, 609, 519, 22673, 543, 7520, 519, 11834, 269, 2659, 6791, 17990, 1312, 6105, 942, 543, 4674, 267, 1818, 2386, 4986, 1898, 8813, 998, 519, 18015, 1282, 519, 1184, 780, 8893, 476, 280, 269, 273, 281, 24531, 11300, 4825, 841, 24371, 692, 30706, 4862, 540, 513, 4558, 1572, 1133, 21720, 6153, 338, 286, 1403, 711, 267, 1577, 803, 6338, 596, 256, 9521, 2757, 10685, 8637, 267, 1133, 21720, 6153, 338, 6212, 593, 2189, 267, 19511, 13344, 543, 2833, 602, 5963, 1796, 856, 269, 3245, 28031, 5652, 10051, 19269, 547, 10531, 14446, 267, 1169, 6221, 4421, 676, 1133, 21720, 6153, 338, 6645, 513, 1650, 543, 6770, 7772, 547, 922, 18579, 780, 1432, 2306, 1133, 21720, 6153, 338, 1256, 811, 11108, 568, 922, 7029, 547, 1514, 5539, 269, 1280, 1383, 267, 1705, 596, 917, 602, 950, 596, 6718, 1945, 689, 741, 3896, 267, 789, 24946, 2724, 2509, 26988, 3906, 6131, 547, 8497, 519, 1604, 610, 5885, 5159, 543, 15888, 286, 1879, 4881, 513, 1870, 267, 621, 781, 1271, 547, 3314, 602, 4758, 1394, 547, 519, 2146, 666, 581, 1175, 607, 2629, 607, 7432, 513, 7443, 780, 7078, 912, 22428, 596, 4941, 547, 4444, 513, 14512, 10516, 585, 707, 1655, 3659, 2228, 269, 5502, 540, 2469, 547, 513, 6093, 10918, 3135, 267, 596, 6430, 547, 19584, 1133, 21720, 6153, 338, 262, 5542, 269, 1703, 267, 596, 3605, 513, 4190, 8405, 331, 864, 1500, 7357, 689, 13381, 2326, 269, 3502, 1152, 1281, 707, 3659, 2648, 1200, 1007, 1569, 800, 267, 855, 596, 849, 1745, 10583, 6616, 602, 851, 540, 707, 6718, 5280, 1489, 2825, 5726, 3646, 780, 8893, 476, 280, 269, 274, 281, 8490, 513, 12655, 5851, 30166, 5109, 15952, 692, 5970, 596, 2479, 2938, 29054, 9927, 883, 31042, 11647, 4773, 286, 26681, 1185, 649, 2394, 649, 16686, 2390, 4446, 7758, 30166, 8132, 267, 606, 8241, 2754, 2870, 3750, 2275, 10248, 1753, 26955, 14585, 1210, 1065, 584, 12723, 9174, 543, 22090, 4486, 29054, 256, 4256, 5499, 6272, 1039, 14246, 543, 1915, 547, 1022, 2230, 267, 16280, 610, 13964, 780, 21574, 7758, 30166, 8132, 9727, 875, 20835, 666, 1291, 547, 10357, 7888, 3435, 269, 13298, 982, 7700, 547, 25087, 3653, 267, 789, 13236, 1007, 1272, 883, 23987, 29054, 676, 13321, 873, 883, 6198, 1568, 540, 1148, 269, 3958, 267, 27126, 12725, 2636, 873, 547, 2569, 6283, 5434, 543, 1489, 824, 2199, 4213, 780, 7078, 912, 1320, 9722, 827, 2847, 2086, 532, 707, 1273, 1470, 1858, 286, 6333, 10992, 856, 4446, 7758, 30166, 8132, 781, 4015, 540, 10875, 9205, 5036, 18705, 689, 556, 13094, 22902, 3574, 269, 3962, 4062, 20502, 6946, 3877, 10452, 922, 3105, 1272, 8876, 5386, 25299, 610, 14326, 269, 9578, 267, 676, 7446, 4264, 2472, 899, 891, 267, 596, 3565, 547, 7863, 938, 4541, 1247, 7393, 707, 2713, 2230, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 11321, 583, 328, 7557, 10320, 13693, 656, 568, 513, 24015, 7307, 8362, 7722, 2094, 811, 982, 2185, 5756, 593, 1585, 2872, 2115, 267, 585, 9042, 543, 4444, 540, 2324, 2783, 2760, 1031, 610, 30694, 267, 1031, 12227, 267, 5663, 30112, 1899, 543, 2347, 4853, 2030, 12227, 4559, 269, 1284, 616, 1199, 11868, 547, 1683, 1318, 3070, 607, 829, 991, 563, 4462, 21720, 6153, 338, 1688, 26717, 3860, 267, 3312, 13344, 543, 2833, 602, 979, 3564, 519, 8723, 269, 1411, 6300, 267, 649, 2285, 269, 1284, 24946, 547, 3123, 602, 2671, 938, 2418, 269, 7994, 513, 14568, 547, 12315, 7649, 693, 2638, 719, 543, 649, 3513, 2285, 476, 272, 269, 630, 273, 585, 1133, 21720, 3131, 802, 2818, 14386, 645, 17620, 946, 1870, 607, 513, 3196, 585, 1434, 269, 1284, 2811, 513, 15713, 4759, 540, 713, 19710, 540, 4429, 4537, 641, 9796, 585, 707, 4446, 7758, 30166, 8132, 6732, 269, 1284, 5838, 5245, 4204, 269, 7827, 519, 1413, 540, 707, 2777, 267, 1689, 519, 5133, 540, 1866, 4446, 14843, 1796, 856, 543, 1413, 1434, 538, 1022, 4478, 267, 11255, 610, 9205, 269, 19255, 6732, 4446, 7758, 30166, 8132, 645, 1173, 664, 4446, 7758, 7981, 338, 4446, 7758, 32243, 630, 13729, 2986, 476, 274, 264, 5410, 547, 7047, 10434, 6229, 32303, 344, 19626, 5410, 547, 1309, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2792, 269, 2368, 2093, 1331, 912, 453, 265, 12833, 1746, 873, 547, 1895, 856, 902, 1644, 547, 707, 3838, 4690, 563, 825, 2608, 1306, 6362, 585, 5796, 593, 3584, 4143, 547, 741, 6791, 610, 6612, 563, 825, 2608, 5510, 1359, 1489, 1282, 2352, 2053, 563, 825, 2608, 16629, 1302, 4304, 707, 24807, 267, 952, 3617, 267, 547, 15378, 741, 5114, 269, 5153, 476, 276, 281, 18124, 9314, 7931, 656, 1227, 454, 5629, 596, 723, 3964, 513, 2178, 4276, 267, 2015, 11589, 707, 11509, 1719, 5402, 269, 5269, 2386, 519, 12557, 7959, 1318, 267, 23679, 1282, 513, 4357, 4090, 950, 1312, 540, 596, 616, 17159, 543, 9350, 269, 3371, 616, 930, 2081, 547, 6655, 707, 4606, 912, 453, 265, 9523, 513, 2295, 325, 3881, 4484, 610, 5048, 7234, 1946, 596, 5660, 873, 543, 3494, 972, 1223, 581, 1761, 585, 513, 2078, 563, 825, 2608, 4643, 513, 2027, 4266, 1141, 596, 666, 16175, 5968, 707, 15752, 3068, 3562, 19904, 563, 825, 2608, 2422, 1463, 855, 9543, 1893, 971, 607, 267, 968, 296, 2731, 2972, 7836, 942, 609, 596, 543, 729, 11842, 952, 596, 8910, 899, 547, 2263, 6580, 14311, 1848, 5153, 476, 277, 281, 7435, 548, 1234, 20287, 24553, 2685, 454, 3725, 20287, 568, 851, 540, 1272, 267, 543, 1565, 875, 547, 6023, 621, 30780, 568, 1898, 585, 4509, 1582, 12635, 543, 5807, 2635, 3347, 269, 1403, 15653, 267, 4431, 31635, 543, 9684, 873, 585, 741, 19969, 269, 3973, 2285, 3054, 2230, 547, 12115, 543, 2992, 1354, 13197, 824, 4296, 269, 6206, 2798, 912, 453, 265, 31158, 1578, 741, 3210, 1135, 7019, 563, 825, 2608, 19321, 15683, 676, 9319, 7440, 610, 5418, 8172, 563, 825, 2608, 14190, 942, 547, 20494, 557, 267, 1287, 1445, 593, 2123, 2208, 543, 2104, 3255, 269, 5153, 476, 278, 281, 715, 4669, 675, 519, 20556, 454, 2252, 707, 4606, 616, 25262, 730, 267, 1902, 942, 543, 4674, 883, 14637, 519, 27503, 15832, 269, 21480, 2834, 7389, 267, 4497, 538, 2620, 7391, 267, 2709, 3929, 1489, 267, 543, 3136, 3695, 3838, 4690, 1927, 269, 5901, 538, 2247, 912, 453, 265, 7046, 2792, 568, 4105, 585, 1620, 1142, 824, 781, 2115, 543, 6788, 563, 825, 2608, 18696, 7115, 609, 22524, 11163, 547, 6536, 1367, 2208, 7258, 2078, 1646, 563, 825, 2608, 4793, 1466, 543, 6568, 979, 513, 1279, 1259, 538, 10188, 2591, 543, 20547, 7526, 4020, 1947, 269, 10390, 912, 8855, 267, 4466, 513, 7911, 23136, 3340, 942, 267, 26126, 267, 543, 9639, 269, 1635, 1739, 891, 3268, 267, 596, 2333, 519, 10171, 540, 8108, 513, 16180, 543, 9434, 6125, 1759, 593, 8994, 2463, 267, 17356, 267, 543, 2648, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 8340, 513, 15196, 23136, 630, 5938, 523, 2871, 903, 17983, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4170, 269, 2060, 519, 3059, 2085, 2390, 721, 267, 1810, 1406, 19184, 891, 3529, 6146, 619, 1700, 528, 8726, 15628, 616, 10912, 873, 891, 2395, 1700, 20041, 519, 13755, 13933, 1175, 2943, 269, 3204, 731, 873, 3079, 607, 16782, 540, 1702, 269, 0, 763, 4930, 3769, 18149, 333, 725, 540, 519, 968, 322, 738, 540, 2048, 30873, 1689, 685, 892, 4171, 968, 342, 11208, 892, 4220, 1004, 779, 2104, 610, 5143, 3988, 711, 547, 968, 342, 13446, 1932, 1454, 827, 2910, 273, 11256, 519, 4541, 1848, 8625, 267, 519, 9708, 986, 330, 539, 909, 476, 3583, 280, 267, 4962, 278, 4205, 563, 293, 864, 1504, 9244, 15653, 519, 1353, 538, 513, 3948, 267, 609, 513, 22557, 2006, 6031, 519, 2079, 689, 595, 7374, 295, 968, 4926, 513, 30096, 12191, 2966, 547, 3765, 548, 611, 1004, 827, 519, 4336, 540, 2916, 25749, 593, 9365, 3034, 3891, 849, 7150, 602, 519, 476, 10384, 267, 1822, 269, 876, 4205, 5018, 538, 519, 1867, 827, 2916, 24677, 616, 476, 271, 269, 274, 2600, 540, 936, 476, 1220, 2929, 4205, 593, 3817, 543, 2516, 602, 2270, 2296, 25082, 1543, 593, 2916, 1689, 936, 519, 1482, 1974, 269, 968, 2171, 3136, 547, 8396, 2916, 25749, 676, 4227, 519, 3892, 540, 4376, 15951, 7301, 610, 22801, 676, 835, 540, 938, 1249, 3832, 9535, 4891, 543, 7947, 532, 1022, 18537, 602, 723, 1044, 3181, 6064, 539, 2223, 646, 1767, 563, 307, 11698, 779, 1353, 30172, 2250, 1382, 593, 1018, 814, 2097, 547, 581, 1634, 607, 519, 968, 291, 8812, 1684, 7999, 892, 1765, 320, 1895, 540, 6589, 3743, 585, 519, 5318, 5354, 540, 5046, 268, 866, 25749, 21883, 593, 1514, 2923, 269, 2701, 671, 517, 6519, 5264, 267, 513, 2475, 6845, 1807, 1767, 602, 519, 1353, 2982, 1175, 875, 2462, 606, 1764, 513, 1906, 7270, 666, 723, 593, 519, 5690, 12454, 9365, 5117, 269, 968, 293, 864, 1504, 543, 824, 1514, 2923, 3549, 1118, 2724, 950, 789, 6494, 3755, 1524, 15529, 9475, 540, 2916, 24677, 2223, 646, 1767, 269, 968, 6546, 779, 513, 1360, 5906, 1870, 2203, 585, 519, 2104, 540, 519, 4541, 3034, 293, 864, 1504, 9250, 519, 8693, 7827, 3163, 4741, 538, 476, 1708, 271, 269, 901, 4099, 3568, 23610, 1344, 689, 23674, 2959, 827, 519, 2916, 6433, 547, 4831, 519, 3262, 540, 25749, 269, 898, 849, 8591, 21141, 10297, 593, 930, 9708, 827, 2916, 6433, 547, 1463, 3755, 547, 519, 4099, 269, 9365, 10645, 602, 621, 11392, 811, 982, 476, 1911, 267, 1822, 3755, 829, 1554, 267, 2687, 547, 513, 22557, 17367, 563, 1607, 4199, 729, 8385, 6098, 693, 2475, 3755, 269, 1717, 267, 593, 11728, 267, 519, 2754, 9307, 602, 621, 729, 9750, 922, 8693, 7827, 3163, 4741, 883, 811, 982, 476, 1911, 2477, 543, 21458, 9708, 538, 8478, 267, 3127, 267, 12868, 563, 3719, 519, 1353, 779, 4589, 616, 6998, 519, 1514, 2923, 3760, 547, 979, 1454, 2417, 269, 1358, 4280, 9365, 547, 3247, 9878, 12326, 585, 741, 1543, 543, 547, 6003, 25749, 593, 519, 2916, 6433, 538, 513, 9962, 1297, 540, 9708, 269, 634, 1353, 4951, 602, 476, 10844, 829, 1298, 540, 519, 1034, 9763, 4930, 1705, 711, 2270, 513, 6003, 13288, 547, 2916, 6433, 25749, 563, 6717, 291, 295, 849, 4280, 5616, 547, 4894, 5216, 12326, 602, 941, 1210, 5616, 589, 1091, 538, 1931, 547, 7443, 689, 2916, 6433, 24677, 1543, 269, 1452, 5216, 12326, 941, 6059, 547, 723, 12236, 1269, 274, 269, 277, 2929, 538, 5616, 589, 1091, 936, 519, 2250, 3670, 3275, 267, 2687, 547, 3173, 563, 3412, 3757, 30277, 267, 8783, 10324, 540, 519, 4741, 585, 22388, 532, 7913, 670, 622, 267, 11130, 602, 519, 968, 21112, 5132, 25749, 892, 14593, 676, 519, 476, 1015, 7270, 568, 2966, 547, 24183, 1514, 2923, 3755, 685, 6015, 538, 2257, 269, 1635, 711, 9117, 811, 3196, 2685, 267, 30277, 1767, 267, 968, 15927, 10509, 568, 2899, 1586, 593, 519, 4636, 2427, 540, 2257, 267, 5168, 543, 1480, 3356, 3034, 763, 7270, 5018, 538, 519, 1353, 4769, 1406, 5612, 4431, 547, 938, 13668, 585, 6085, 269, 0, 293, 6717, 10311, 476, 26605, 6595, 1289, 10873, 454, 763, 674, 6717, 713, 3018, 7550, 1007, 3652, 547, 948, 6595, 4431, 619, 1732, 12398, 12616, 476, 26605, 7125, 563, 9213, 1034, 476, 26605, 7125, 22132, 689, 12616, 11436, 267, 543, 2356, 689, 16280, 269, 661, 26605, 12616, 4087, 2029, 729, 28110, 4724, 9205, 10912, 269, 3767, 267, 609, 519, 5354, 540, 12616, 7125, 689, 16280, 267, 9591, 4087, 568, 5544, 1399, 267, 1419, 25619, 267, 543, 666, 1291, 547, 13249, 2164, 563, 8333, 2153, 518, 631, 793, 517, 595, 569, 14315, 11855, 513, 2013, 538, 799, 513, 476, 26605, 1289, 518, 1223, 798, 2370, 855, 6432, 607, 32043, 1952, 619, 12475, 3293, 519, 1289, 518, 267, 945, 7307, 547, 3866, 476, 26605, 7466, 689, 1010, 1591, 6049, 269, 3004, 326, 1227, 267, 519, 476, 26605, 771, 6312, 7129, 941, 711, 2111, 547, 10250, 519, 4087, 540, 519, 1591, 6049, 1289, 563, 2108, 2414, 2673, 713, 7934, 538, 2773, 2223, 5206, 519, 674, 6717, 267, 968, 1492, 8189, 2221, 8242, 922, 661, 26605, 3652, 547, 1331, 4170, 5059, 593, 11255, 4087, 6111, 269, 634, 1007, 3652, 616, 5497, 547, 948, 1101, 4431, 619, 12398, 4892, 10912, 585, 948, 689, 16280, 267, 1519, 4101, 5054, 971, 607, 1804, 3818, 3613, 800, 5656, 267, 1141, 4431, 619, 616, 1419, 8572, 547, 3313, 519, 6989, 610, 1256, 519, 2679, 1141, 519, 476, 26605, 1289, 12090, 3034, 763, 3652, 1305, 14541, 12201, 543, 28868, 585, 4087, 6111, 676, 12616, 7426, 563, 293, 6717, 3792, 1206, 3652, 547, 948, 6595, 4431, 619, 1732, 12398, 12616, 476, 26605, 1289, 619, 630, 293, 6717, 3377, 5305, 267, 3967, 269, 476, 3066, 267, 476, 1001, 276, 994, 13750, 618, 540, 30934, 631, 793, 517, 595, 569, 14315, 593, 29942, 19715, 6452, 5596, 21976, 630, 293, 6717, 3561, 267, 3967, 269, 476, 3066, 267, 476, 1001, 276, 994, 290, 2753, 2924, 267, 4074, 267, 543, 1857, 1719, 3906, 20882, 519, 674, 6717, 547, 15476, 3160, 7694, 4316, 1239, 676, 3376, 322, 7539, 543, 10814, 12427, 454, 299, 1987, 267, 3540, 2924, 267, 7834, 267, 543, 7082, 3906, 20882, 29150, 19994, 657, 328, 547, 8430, 513, 8917, 593, 519, 1977, 4578, 21041, 543, 10466, 2920, 0, 10890, 543, 9716, 568, 513, 1533, 540, 2949, 2168, 267, 2790, 267, 543, 849, 1514, 9716, 269, 15439, 2322, 267, 621, 568, 519, 9000, 540, 2783, 267, 6650, 325, 1254, 267, 610, 27656, 777, 269, 25682, 568, 513, 6240, 602, 568, 1312, 1367, 543, 3486, 269, 1717, 267, 519, 2165, 9716, 568, 24813, 267, 543, 972, 616, 513, 1297, 540, 8847, 602, 666, 581, 1031, 563, 4407, 519, 9000, 540, 2783, 568, 519, 1655, 3804, 267, 9319, 1072, 1966, 607, 1134, 607, 10229, 6604, 616, 1175, 607, 4105, 269, 5398, 1072, 7341, 971, 607, 26912, 2827, 540, 4587, 4079, 616, 2629, 269, 1306, 1134, 607, 519, 6604, 540, 2783, 5956, 609, 1360, 2038, 2564, 5868, 543, 849, 24077, 2126, 269, 5398, 1072, 3853, 543, 849, 6859, 11129, 547, 581, 1759, 593, 519, 7569, 543, 849, 1283, 14422, 540, 3025, 269, 769, 519, 2136, 2276, 267, 519, 6871, 540, 6738, 5725, 936, 476, 4792, 568, 9750, 269, 6820, 267, 972, 616, 476, 277, 1704, 2929, 4587, 6738, 5725, 563, 763, 31248, 2657, 7577, 630, 21766, 264, 19775, 922, 2495, 540, 9716, 538, 476, 3707, 279, 269, 634, 3312, 7664, 540, 1072, 15538, 540, 519, 9000, 540, 2068, 269, 11048, 267, 1699, 1353, 5267, 602, 519, 602, 779, 7664, 568, 1100, 3476, 3514, 585, 6662, 269, 4653, 267, 1072, 543, 9716, 568, 606, 2702, 547, 6023, 1272, 267, 4188, 547, 7369, 267, 543, 849, 1582, 1673, 9057, 710, 269, 8409, 602, 1747, 513, 1164, 4502, 593, 1072, 543, 9716, 616, 811, 2693, 547, 1491, 13390, 1081, 776, 2238, 607, 1134, 607, 3343, 2126, 563, 763, 2856, 540, 9716, 568, 10123, 1360, 5702, 17640, 547, 519, 4259, 269, 634, 1604, 814, 6266, 540, 5222, 593, 1072, 543, 9716, 543, 849, 922, 2298, 269, 769, 1249, 267, 891, 5222, 949, 581, 2901, 1491, 519, 4960, 540, 2609, 610, 8825, 3344, 269, 1879, 789, 5968, 267, 519, 4093, 666, 581, 3573, 269, 1306, 606, 1383, 267, 519, 4160, 1377, 538, 606, 1367, 779, 1272, 5222, 741, 2168, 9716, 269, 2201, 1283, 540, 602, 267, 519, 1164, 2298, 540, 741, 1514, 4296, 616, 1271, 538, 5329, 513, 2635, 1259, 540, 1272, 563, 763, 2622, 2657, 7577, 23403, 1072, 543, 9716, 607, 2347, 2168, 267, 2790, 267, 543, 1514, 1072, 269, 2657, 568, 606, 7533, 851, 540, 1272, 267, 607, 621, 9356, 519, 10618, 538, 1063, 11976, 267, 1259, 540, 1272, 267, 543, 849, 1604, 269, 898, 568, 11338, 835, 540, 519, 1034, 4105, 3804, 540, 3782, 269, 15706, 602, 798, 711, 1995, 2168, 610, 2790, 2068, 616, 4749, 2219, 827, 547, 581, 2635, 563, 31714, 609, 513, 5312, 2068, 1590, 2015, 741, 4606, 543, 849, 2833, 3823, 519, 4576, 543, 922, 3310, 593, 741, 1272, 269, 1358, 1590, 11338, 1589, 827, 2126, 3681, 269, 634, 2068, 779, 4191, 543, 2589, 607, 1134, 607, 1382, 8047, 3406, 902, 585, 1522, 581, 1898, 3344, 950, 3206, 540, 1072, 543, 9716, 269, 769, 1840, 267, 519, 2068, 779, 2796, 568, 1271, 269, 1403, 519, 4191, 616, 519, 1267, 540, 513, 1808, 5817, 2601, 267, 621, 1522, 1397, 519, 6228, 540, 606, 3606, 2783, 563, 27407, 267, 1434, 1072, 568, 2556, 585, 721, 547, 2661, 938, 2729, 547, 519, 3193, 269, 589, 2635, 1259, 540, 1272, 11226, 938, 1560, 543, 2247, 1036, 992, 269, 898, 666, 10123, 948, 721, 2061, 4576, 543, 4228, 938, 1272, 269, 7743, 6484, 568, 4105, 547, 513, 2635, 1259, 540, 2713, 543, 2087, 938, 2790, 543, 849, 2168, 9716, 269, 634, 1514, 543, 4853, 5468, 11338, 3310, 938, 1072, 563, 2467, 616, 1082, 1114, 8847, 540, 1072, 543, 9716, 538, 2221, 779, 3059, 1158, 269, 589, 3099, 540, 24738, 543, 2035, 616, 1459, 2228, 693, 519, 1482, 942, 267, 12721, 585, 1719, 689, 2043, 543, 3135, 8436, 269, 20876, 519, 1797, 1004, 1174, 1072, 543, 9716, 568, 2629, 585, 1072, 543, 9716, 12665, 269, 4197, 540, 1072, 568, 2629, 585, 1857, 1072, 7459, 269, 898, 20674, 721, 6023, 519, 9867, 3344, 540, 1072, 538, 519, 3059, 2230, 269, 1284, 991, 547, 1174, 4010, 875, 1004, 10146, 1072, 543, 9716, 538, 741, 1378, 2729, 607, 1134, 607, 538, 741, 2486, 269, 1280, 1383, 267, 1585, 2010, 540, 1514, 543, 2797, 8658, 723, 1585, 8847, 540, 519, 6240, 563, 15703, 26880, 723, 1569, 547, 1283, 2298, 9716, 1344, 269, 16480, 267, 972, 616, 1869, 10616, 269, 2368, 18125, 540, 1072, 543, 9716, 607, 1134, 607, 519, 1072, 543, 9716, 1062, 616, 711, 1134, 1673, 29545, 610, 4080, 538, 1713, 2081, 269, 1452, 5624, 1522, 8451, 950, 519, 3084, 610, 2199, 1239, 568, 13385, 610, 14605, 6035, 269, 1280, 1383, 267, 930, 1239, 616, 2680, 2861, 543, 711, 1268, 19721, 267, 543, 849, 616, 4101, 547, 5635, 2429, 1114, 2551, 2516, 269, 3958, 267, 9623, 593, 1857, 1072, 568, 15877, 585, 930, 15295, 6887, 563, 1103, 14127, 1004, 7282, 2635, 1259, 540, 561, 643, 902, 666, 948, 873, 1118, 5483, 5079, 827, 519, 1426, 607, 1134, 607, 4247, 602, 4324, 873, 269, 901, 1909, 666, 4125, 513, 5542, 540, 4247, 267, 1519, 2146, 25786, 543, 849, 3450, 6030, 607, 1134, 607, 5907, 2923, 11044, 269, 898, 949, 11338, 27167, 7829, 1382, 1353, 2090, 607, 1134, 607, 2319, 532, 909, 609, 824, 1072, 4648, 269, 2353, 891, 1585, 11645, 1289, 585, 6791, 543, 849, 5578, 547, 7561, 1491, 1416, 540, 1857, 1072, 2042, 269, 16480, 267, 621, 568, 1271, 711, 547, 26777, 519, 10083, 540, 519, 2796, 538, 799, 1857, 1072, 7459, 616, 1373, 12913, 563, 2467, 616, 1896, 5001, 1072, 543, 9716, 2616, 1734, 602, 666, 1860, 513, 17069, 864, 779, 1072, 543, 9716, 269, 2368, 9305, 547, 1216, 543, 849, 9882, 267, 971, 607, 31248, 4826, 4303, 593, 476, 2420, 4728, 269, 11524, 9305, 547, 5626, 9716, 267, 971, 607, 2622, 20150, 4197, 4303, 269, 2622, 3143, 6874, 984, 8829, 4303, 3217, 1747, 593, 476, 4029, 2904, 269, 4139, 4303, 585, 10684, 18816, 607, 1134, 607, 7629, 7228, 3004, 16751, 4991, 593, 476, 2918, 4873, 563, 7049, 7497, 11338, 4249, 513, 1909, 538, 519, 1072, 543, 9716, 540, 17069, 2167, 543, 849, 1004, 269, 16930, 11976, 666, 2333, 606, 1367, 779, 8594, 585, 2386, 4576 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 291, 309, 476, 6200, 17266, 4303, 7689, 4643, 476, 3393, 2381, 2373, 910, 16505, 519, 18888, 769, 782, 707, 2081, 11760, 1864, 267, 543, 646, 786, 1118, 2269, 6255, 707, 10092, 1701, 2696, 12034, 519, 536, 3455, 4605, 543, 6487, 1018, 568, 1655, 585, 596, 693, 713, 1448, 538, 707, 1272, 269, 5988, 568, 2817, 25441, 20222, 17607, 13600, 267, 602, 1797, 602, 519, 2898, 269, 5623, 667, 309, 476, 6200, 585, 30451, 282, 20518, 1393, 1688, 8083, 3769, 609, 3992, 1544, 269, 1215, 1082, 540, 596, 723, 2938, 24635, 16474, 610, 14948, 1744, 648, 950, 2576, 781, 5734, 563, 1432, 1281, 519, 6426, 2161, 827, 12322, 6580, 286, 9697, 568, 519, 1357, 16073, 543, 9375, 540, 476, 31404, 663, 14560, 547, 2328, 3209, 20393, 609, 2199, 1762, 5830, 693, 1200, 11925, 269, 1656, 602, 781, 11207, 15502, 676, 721, 1317, 649, 2811, 19914, 596, 2811, 3168, 585, 13400, 4267, 547, 891, 2055, 2864, 982, 3843, 547, 535, 675, 856, 519, 2898, 6580, 3364, 593, 563, 29189, 10955, 7732, 910, 21434, 17716, 543, 25441, 2701, 849, 8309, 693, 20944, 5999, 3820, 267, 18248, 657, 3820, 267, 543, 12834, 901, 3992, 12116, 875, 4008, 5107, 1860, 3347, 543, 7710, 3871, 1141, 4008, 5107, 543, 11475, 544, 6255, 1860, 7141, 781, 3853, 563, 291, 908, 6107, 3992, 912, 305, 908, 281, 476, 4817, 1315, 476, 1911, 454, 14454, 281, 476, 8660, 26162, 0, 763, 32532, 2762, 540, 18148, 15284, 568, 519, 2757, 2012, 585, 519, 269, 634, 32388, 2456, 2307, 15284, 547, 2328, 513, 5758, 540, 519, 21152, 20286, 950, 646, 269, 13159, 5758, 540, 18148, 7671, 331, 1231, 634, 32532, 2762, 540, 18148, 15284, 269, 901, 8525, 2398, 4883, 614, 9980, 790, 269, 5291, 281, 4178, 269, 522, 13791, 476, 275, 554, 7504, 1788, 8261, 6189, 269, 635, 563, 2750, 1356, 696, 540, 519, 32532, 2762, 540, 18148, 15284, 269, 898, 729, 827, 713, 942, 594, 22885, 519, 12050, 543, 818, 706, 748, 1788, 540, 21945, 693, 269, 18148, 15284, 267, 18648, 27672, 1325, 2006, 871, 267, 476, 15876, 279, 269, 18148, 623, 31581, 26249, 568, 835, 540, 891, 269, 1261, 4967, 602, 8261, 838, 1087, 476, 736, 7824, 17002, 4473, 689, 18803, 20297, 269, 623, 597, 333, 614, 4367, 547, 634, 32532, 2762, 540, 18148, 15284, 676, 18148, 15284, 269, 570, 11548, 827, 634, 32532, 2762, 540, 18148, 15284, 5530, 10021, 614, 19478, 269, 901, 2143, 3332, 5758, 849, 3568, 11762, 585, 17564, 543, 513, 563, 331, 2320, 643, 2135, 1649, 15924, 18367, 4802, 12092, 1649, 15924, 18367, 4802, 26249, 1649, 18367, 4802, 1649, 15924, 18367, 4802, 18367, 4802, 26249, 5758, 269, 18148, 15284, 476, 5197, 277, 268, 6245, 271, 543, 3571, 32532, 2762, 269, 853, 3591, 609, 8261, 838, 1087, 476, 736, 7824, 17002, 4967, 827, 1010, 1272, 538, 476, 11260, 280, 267, 2760, 8757, 519, 2621, 585, 8261, 838, 1087, 476, 736, 7824, 17002, 649, 269, 18148, 15284, 3571, 32532, 2762, 476, 10204, 277, 268, 11260, 278, 269, 16514, 15284, 729, 4535, 538, 476, 10204, 277, 693, 11785, 269, 1261, 729, 519, 20870, 5067, 540, 513, 12853, 543, 269, 18148, 15284, 476, 10204, 277, 268, 9692, 271, 267, 835, 540, 519, 1034, 11684, 543, 4922, 25343, 5515, 563, 1103, 27336, 1516, 693, 3131, 325, 1254, 267, 606, 21626, 689, 1010, 32532, 2762, 267, 18148, 269, 23095, 676, 519, 3312, 27910, 24687, 15769, 267, 22175, 2419, 11301, 616, 519, 10600, 1655, 3332, 10274, 269, 13760, 811, 267, 5488, 827, 634, 32532, 2762, 540, 18148, 269, 769, 7671, 331, 1231, 32532, 2762, 568, 6035, 711, 8261, 838, 1087, 476, 736, 7824, 17002, 1454, 513, 4712, 13402, 4542, 585, 563, 763, 1272, 540, 18148, 15284, 568, 540, 2956, 547, 1169, 1977, 5097, 269, 634, 4967, 835, 540, 1250, 796, 3380, 945, 1185, 519, 1482, 2186, 540, 7279, 538, 269, 18148, 7671, 331, 1231, 32532, 2762, 281, 15531, 15284, 267, 589, 12754, 6651, 14044, 7896, 543, 269, 1306, 1134, 607, 930, 3606, 4967, 593, 7671, 331, 1231, 1272, 3144, 1524, 676, 2274, 26890, 650, 731, 538, 3943, 269, 20042, 616, 2139, 538, 7300, 610, 570, 9281, 293, 3239, 3898, 269, 4014, 646, 2760, 8737, 1603, 621, 267, 7671, 331, 1231, 32532, 2762, 568, 519, 1034, 563, 16920, 3737, 18148, 15284, 7033, 5202, 540, 15638, 607, 513, 544, 629, 783, 547, 6445, 538, 930, 540, 519, 269, 18148, 15284, 267, 945, 6257, 538, 1010, 26249, 519, 7525, 543, 10565, 2360, 540, 6519, 26753, 840, 2286, 593, 21152, 2987, 6984, 15284, 2987, 476, 15876, 280, 269, 3245, 513, 533, 341, 325, 5758, 547, 3184, 24096, 547, 3137, 540, 4583, 10530, 267, 519, 27910, 24687, 634, 32532, 2762, 540, 18148, 623, 323, 5793, 5530, 6651, 814, 3388, 596, 991, 547, 513, 576, 269, 8281, 519, 7300, 540, 713, 27910, 9616, 593, 645, 301, 563, 1260, 269, 634, 32532, 2762, 540, 18148, 15284, 609, 4367, 543, 4967, 12995, 676, 8176, 654, 269, 18148, 15284, 729, 4535, 538, 22447, 9335, 267, 15015, 838, 1087, 476, 736, 7824, 17002, 267, 593, 3967, 340, 269, 631, 2006, 783, 5758, 543, 2079, 540, 519, 2621, 538, 18148, 7671, 331, 1231, 634, 32532, 2762, 540, 18148, 15284, 602, 530, 2632, 1118, 596, 2879, 648, 269, 1284, 18073, 3529, 18309, 3391, 269, 645, 2894, 297, 4456, 2562, 21598, 3198, 298, 299, 2562, 269, 634, 973, 1388, 602, 729, 1500, 721, 540, 1010, 1272, 543, 1915, 267, 676, 930, 544, 1233, 783, 563, 13051, 15924, 15284, 729, 519, 21836, 5067, 543, 476, 1428, 628, 540, 476, 1704, 1453, 540, 21280, 11672, 15284, 267, 8261, 16948, 524, 6319, 632, 1698, 12541, 657, 8570, 7505, 12853, 543, 8261, 838, 1087, 476, 736, 7824, 17002, 20536, 945, 1185, 6294, 3603, 547, 11785, 689, 6185, 5877, 16056, 454, 2006, 783, 838, 1087, 476, 736, 7824, 17002, 11152, 14999, 331, 262, 2246, 558, 9394, 7328, 633, 3391, 546, 262, 778, 520, 3678, 520, 1664, 4037, 14999, 807, 2378, 3950, 543, 2361, 6703, 8261, 476, 1220, 279, 585, 323, 535, 5611, 3445, 14999, 2006, 783, 838, 1087, 476, 736, 7824, 17002, 9262, 14999, 14457, 25767, 513, 20233, 719, 21741, 4635, 278, 3967, 476, 1001, 276, 269, 1403, 596, 723, 6192, 519, 3105, 4245, 538, 713, 1377, 267, 596, 1631, 723, 519, 2645, 547, 1711, 513, 1804, 3099, 540, 3615, 538, 476, 274, 291, 269, 476, 274, 291, 20861, 281, 8571, 513, 674, 3599, 12384, 19371, 15636, 1479, 7167, 538, 29772, 910, 1305, 909, 269, 24285, 609, 11426, 1488, 4900, 910, 29772, 5850, 267, 16671, 4696, 5549, 267, 5239, 476, 1839, 267, 476, 1220, 275, 7824, 269, 1313, 665, 611, 476, 1001, 275, 2407, 4693, 4528, 1863, 4647, 3301, 269, 20348, 1568, 476, 1220, 275, 1313, 665, 611, 476, 1001, 271, 5850, 7824, 1863, 4647, 476, 274, 323, 5373, 3301, 4396, 1374, 1863, 269, 5131, 29772, 20861, 338, 267, 7300, 267, 661, 9248, 267, 476, 274, 291, 17738, 267, 13332, 267, 16574, 919, 267, 7732, 269, 29772, 5850, 4930, 267, 29772, 6698, 543, 13332, 23905, 476, 1911, 585, 1863, 269, 20780, 532, 538, 681, 2120, 16103, 269, 29772, 814, 519, 2702, 547, 3142, 538, 12303, 1169, 678, 2120, 3758, 856, 972, 269, 4270, 267, 602, 568, 660, 4010, 3020, 267, 855, 621, 1281, 1489, 1034, 782, 540, 519, 269, 21957, 13981, 585, 4201, 665, 611, 15339, 2488, 936, 476, 6344, 271, 3381, 18862, 6029, 3755, 875, 547, 1711, 513, 2679, 1374, 689, 15072, 543, 960, 609, 476, 273, 291, 543, 476, 274, 291, 269, 29772, 476, 274, 291, 20861, 269, 1280, 1383, 267, 519, 1283, 1852, 8470, 269, 29772, 476, 274, 291, 20861, 338, 269, 8437, 519, 6749, 6658, 10624, 538, 519, 30246, 2645, 543, 269, 29772, 561, 326, 536, 323, 277, 3583, 5411, 8261, 513, 10805, 22028, 8261, 838, 1087, 476, 736, 7824, 17002, 4201, 3941, 330, 267, 5549, 269, 7348, 267, 476, 274, 291, 14358, 267, 543, 835, 540, 519, 1739, 21169, 3681, 269, 7831, 12779, 1769, 538, 519, 7178, 13176, 5850, 15678, 476, 272, 267, 476, 1001, 272, 269, 901, 568, 519, 851, 540, 519, 5496, 538, 799, 519, 5373, 786, 581, 2813, 269, 29772, 476, 1220, 275, 3301, 3091, 1007, 543, 8476, 10342, 602, 6087, 269, 29772, 476, 1220, 275, 1492, 8261, 14023, 11456, 18626, 476, 30420, 7172, 553, 513, 11304, 657, 26004, 267, 24223, 267, 543, 476, 274, 291, 1374, 1907, 585, 5488, 1239, 269, 29772, 269, 1306, 11609, 538, 519, 3105, 11271, 267, 972, 616, 1100, 7252, 538, 513, 5911, 18134, 2203, 621, 8261, 838, 1087, 476, 736, 7824, 17002, 1152, 540, 269, 15015, 838, 1087, 476, 736, 7824, 17002, 10934, 476, 274, 291, 476, 1220, 279, 269, 29772, 10934, 476, 274, 291, 568, 519, 3056, 4702, 22944, 3760, 585, 2870, 543, 5883, 269, 15015, 838, 1087, 476, 736, 7824, 17002, 267, 29772, 14069, 22362, 267, 29772, 14069, 28497, 267, 4201, 3941, 330, 267, 4201, 3941, 330, 269, 8629, 2752, 311, 1374, 8421, 334, 267, 22210, 267, 11370, 3960, 338, 1177, 267, 11404, 328, 4753, 267, 18435, 9188, 793, 267, 6406, 476, 274, 291, 269, 3967, 476, 278, 267, 476, 1001, 276, 269, 901, 3992, 568, 269, 29772, 568, 513, 10805, 22028, 540, 4201, 3941, 330, 267, 5549, 269, 14645, 476, 1220, 275, 910, 26701, 523, 27956, 1633, 269, 674, 2167, 267, 610, 17571, 267, 596, 666, 1463, 29772, 547, 4894, 6456, 3515, 610, 269, 29772, 17943, 269, 17781, 4971, 269, 29772, 476, 273, 291, 20861, 269, 3399, 689, 519, 8837, 1982, 9614, 269, 4201, 665, 611, 476, 1220, 275, 5850, 7824, 3758, 1863, 4647, 910, 717, 28588, 21020, 476, 1001, 276, 281, 20348, 21957, 3301, 267, 543, 1454, 811, 3292, 269, 22073, 29772, 476, 1220, 275, 269, 769, 1840, 267, 1565, 29772, 786, 2285, 596, 519, 9238, 585, 1565, 824, 21957, 269, 596, 2253, 267, 596, 666, 960, 519, 1482, 1259, 602, 596, 960, 538, 29772, 476, 1220, 275, 543, 269, 4635, 3044, 1617, 559, 710, 1257, 543, 2348, 547, 9337, 621, 16924, 267, 596, 666, 7696, 513, 269, 666, 849, 3382, 29772, 700, 307, 476, 1220, 271, 267, 476, 1220, 271, 328, 543, 476, 1220, 275, 269, 901, 2866, 8261, 814, 1044, 2854, 609, 519, 10054, 602, 596, 281, 3331, 508, 616, 5432, 609, 269, 5850, 269, 1677, 1205, 5021, 1871, 543, 2773, 689, 29772, 269, 11374, 593, 519, 1390, 1967, 540, 519, 29772, 476, 1220, 275, 6426, 267, 713, 1007, 2357, 269, 634, 7131, 268, 15375, 3568, 513, 2347, 5299, 540, 713, 1433, 538, 1875, 2745, 762, 7300, 3898, 269, 21957, 568, 849, 4922, 1031, 547, 3132, 2780, 14318, 585, 2027, 2360, 538, 9413, 267, 10229, 543, 2930, 8261, 338, 269, 634, 2413, 18451, 18709, 563, 302, 3333, 334, 476, 1220, 271, 267, 32532, 2762, 540, 513, 32375, 11234, 7793, 545, 267, 1715, 3840, 267, 12924, 281, 853, 269, 634, 589, 24688, 1592, 540, 5176, 476, 4335, 10649, 267, 5289, 267, 543, 1644, 2835, 568, 5941, 538, 269, 744, 3333, 334, 305, 1690, 928, 21983, 910, 32532, 2762, 540, 513, 13336, 1302, 5549, 8091, 3733, 10973, 910, 476, 1220, 271, 910, 589, 269, 476, 271, 4343, 271, 268, 271, 4510, 271, 24198, 2480, 565, 2880, 639, 16024, 807, 3235, 27036, 2880, 320, 269, 20098, 1069, 1314, 3391, 11425, 8955, 1350, 1442, 476, 866, 8278, 27036, 20292, 15015, 838, 1087, 476, 736, 7824, 17002, 713, 3758, 814, 1044, 22434, 689, 5291, 281, 4178, 563, 322, 4897, 269, 610, 326, 322, 26118, 577, 3530, 12639, 333, 325, 1708, 269, 24198, 729, 513, 10477, 4137, 538, 519, 1686, 540, 10255, 543, 998, 20785, 899, 18573, 6766, 5375, 2219, 269, 3571, 4978, 538, 519, 1391, 585, 5168, 543, 1480, 269, 24198, 729, 4535, 476, 5379, 280, 7460, 538, 18603, 543, 729, 519, 5067, 540, 513, 6149, 2173, 1783, 543, 513, 269, 540, 1876, 267, 5126, 267, 543, 22556, 24198, 4824, 593, 713, 865, 1454, 602, 646, 729, 269, 476, 272, 634, 590, 7095, 1966, 476, 272, 269, 476, 274, 590, 7095, 16481, 833, 21686, 8261, 8279, 269, 5769, 25201, 3883, 5649, 518, 910, 15107, 657, 12092, 540, 24198, 563, 4942, 3342, 4451, 269, 27483, 302, 10292, 24209, 5508, 590, 8016, 305, 2969, 2464, 5442, 5990, 269, 24198, 15336, 8261, 838, 1087, 476, 736, 7824, 17002, 267, 543, 27057, 267, 6031, 602, 1010, 7953, 941, 5230, 267, 2482, 1524, 593, 1010, 1394, 269, 3509, 5640, 723, 11855, 24198, 3747, 585, 4214, 607, 2963, 602, 646, 24693, 513, 269, 6423, 519, 31639, 3296, 540, 713, 5098, 585, 13366, 585, 269, 5990, 661, 6717, 299 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4596, 299, 2177, 5085, 808, 2207, 313, 312, 13698, 297, 3722, 313, 298, 8582, 306, 298, 296, 3689, 2622, 2782, 14470, 17199, 454, 29820, 281, 476, 866, 5147, 267, 476, 6245, 275, 267, 538, 700, 342, 578, 267, 12996, 269, 667, 1221, 281, 476, 278, 5412, 267, 476, 1220, 276, 267, 538, 595, 3518, 6319, 267, 9907, 476, 9340, 563, 15578, 2669, 540, 29962, 623, 1690, 659, 345, 330, 22603, 267, 5310, 6628, 781, 9510, 1606, 584, 341, 1516, 3689, 2622, 2782, 25982, 267, 23344, 593, 519, 834, 641, 22683, 2427, 2580, 5309, 9822, 919, 513, 2673, 543, 8978, 29053, 14470, 4149, 322, 1824, 2078, 563, 763, 1459, 834, 28717, 5235, 257, 540, 10430, 676, 1762, 2717, 525, 729, 28263, 676, 1776, 267, 476, 4792, 1296, 3516, 563, 1103, 3735, 5147, 476, 3707, 271, 267, 930, 476, 736, 267, 1822, 14470, 7980, 8452, 538, 29161, 15292, 532, 998, 922, 10754, 547, 10151, 13122, 269, 1452, 941, 519, 24790, 540, 513, 14470, 7952, 6963, 539, 538, 5333, 267, 896, 4937, 31881, 832, 7288, 267, 1310, 12996, 781, 15652, 1063, 5125, 543, 519, 8168, 5742, 538, 5181, 476, 4350, 280, 269, 2991, 519, 1698, 527, 1637, 540, 5333, 593, 476, 1704, 4873, 267, 476, 3707, 271, 267, 4937, 31881, 832, 7288, 267, 21407, 676, 26235, 602, 6628, 1131, 4339, 593, 267, 5795, 519, 1931, 602, 14470, 10136, 941, 547, 1118, 585, 6628, 563, 763, 2717, 525, 941, 2016, 513, 3636, 10950, 676, 29703, 269, 1358, 941, 14376, 883, 1004, 781, 5321, 543, 519, 4975, 15278, 11231, 585, 1863, 2951, 593, 519, 2749, 781, 911, 916, 269, 2290, 540, 741, 1034, 11215, 2828, 729, 29161, 781, 24180, 7083, 3038, 739, 18536, 667, 3326, 534, 945, 729, 547, 1491, 513, 2673, 1719, 538, 14470, 12602, 2429, 519, 2112, 543, 945, 519, 2717, 525, 15754, 2299, 1572, 834, 291, 3326, 753, 7288, 8487, 3080, 540, 519, 2717, 525, 13603, 909, 676, 519, 8585, 31008, 13108, 538, 853, 14639, 632, 13198, 345, 593, 476, 2190, 4873, 729, 7603, 5414, 623, 1690, 659, 345, 330, 22603, 563, 303, 1690, 659, 345, 330, 22603, 729, 4535, 538, 700, 342, 578, 630, 852, 700, 341, 643, 264, 538, 476, 6245, 275, 538, 1018, 729, 1287, 513, 14470, 2749, 538, 519, 3243, 549, 6953, 2426, 4115, 7276, 563, 303, 1690, 659, 345, 330, 22603, 267, 8247, 593, 4742, 513, 15818, 267, 862, 10642, 2090, 538, 700, 342, 578, 2160, 538, 476, 4489, 273, 543, 4797, 538, 21499, 269, 769, 476, 4489, 276, 267, 646, 729, 931, 5296, 539, 883, 519, 22341, 7952, 543, 4718, 2962, 538, 519, 26811, 753, 1996, 519, 32228, 2103, 267, 676, 7247, 646, 729, 9676, 269, 1261, 729, 1287, 606, 26462, 2034, 9114, 23133, 563, 1103, 1082, 2081, 519, 4279, 2782, 729, 513, 13357, 585, 519, 2717, 525, 269, 4438, 2185, 1296, 540, 15280, 8165, 267, 1390, 2220, 520, 1127, 540, 12996, 941, 10032, 269, 1937, 572, 729, 519, 1249, 602, 2717, 525, 931, 5296, 539, 883, 519, 6739, 7952, 1131, 581, 7142, 547, 4339, 741, 10284, 686, 1824, 538, 519, 6739, 610, 4436, 20679, 563, 4263, 519, 1439, 540, 519, 2112, 267, 623, 1690, 659, 345, 330, 22603, 8678, 519, 556, 268, 11526, 14470, 7952, 896, 4937, 8065, 518, 538, 5333, 563, 20751, 513, 2110, 942, 267, 623, 1690, 659, 345, 330, 22603, 267, 1631, 513, 9114, 23133, 538, 713, 7952, 267, 729, 547, 1294, 2962, 1996, 6576, 781, 12157, 9917, 12858, 802, 269, 13255, 539, 676, 7841, 2066, 5125, 267, 621, 729, 513, 3407, 1840, 547, 519, 4229, 540, 513, 19679, 326, 1782, 1533, 1036, 8724, 7115, 1310, 476, 11277, 1296, 540, 15652, 269, 15937, 11802, 585, 519, 2717, 525, 693, 519, 11135, 540, 32160, 538, 4864, 476, 4572, 271, 24458, 14470, 7115, 269, 2353, 2717, 525, 267, 922, 27998, 543, 922, 4683, 2324, 1362, 267, 1185, 14281, 22255, 514, 676, 8380, 519, 1719, 540, 741, 4182, 1101, 563, 303, 1690, 659, 345, 330, 22603, 4956, 547, 1831, 513, 2834, 11464, 269, 2991, 11504, 5234, 2852, 538, 32160, 267, 646, 9782, 998, 519, 16034, 543, 538, 476, 4350, 276, 646, 729, 15469, 547, 9114, 23133, 12258, 517, 601, 269, 1879, 5125, 22983, 593, 476, 272, 5181, 267, 476, 4350, 280, 267, 646, 729, 513, 5234, 11464, 538, 922, 4400, 16710, 563, 5475, 513, 7086, 656, 543, 9678, 5859, 267, 12996, 8593, 1101, 547, 5125, 543, 1287, 547, 519, 8168, 5742, 269, 623, 1690, 659, 345, 330, 22603, 729, 26752, 538, 1373, 2111, 547, 9101, 547, 27597, 269, 16874, 646, 1044, 9676, 676, 519, 16586, 267, 646, 1131, 723, 6170, 3670, 1296, 538, 606, 1055, 25419, 855, 1185, 646, 1044, 9676, 676, 519, 28592, 1010, 12556, 607, 606, 11464, 1131, 1034, 4440, 723, 1044, 513, 16886, 538, 519, 2212, 693, 15576, 2106, 563, 292, 2675, 12686, 689, 2028, 618, 538, 27597, 267, 646, 1500, 1010, 1259, 3842, 519, 26811, 753, 543, 7977, 547, 5333, 1141, 513, 14470, 7952, 2229, 2987, 7721, 850, 729, 1373, 4646, 269, 3371, 2899, 811, 1010, 729, 513, 5234, 20171, 563, 5475, 771, 10603, 1046, 532, 693, 623, 569, 17625, 543, 16144, 5087, 267, 623, 1690, 659, 345, 330, 22603, 781, 1101, 3275, 538, 10430, 941, 609, 14470, 4559, 267, 556, 268, 14127, 2899, 811, 267, 538, 623, 2465, 7632, 543, 538, 19958, 1354, 267, 538, 5239, 476, 3707, 271, 267, 1373, 1500, 575, 28207, 19524, 540, 14470, 4229, 538, 3131, 628, 269, 634, 14470, 4229, 941, 2016, 519, 4305, 540, 21108, 519, 674, 1057, 269, 1358, 849, 812, 2740, 6186, 10696, 14884, 1759, 607, 2484, 5087, 607, 589, 828, 1372, 523, 563, 5141, 846, 17052, 941, 1500, 609, 519, 2199, 2551, 269, 901, 5921, 1454, 547, 2367, 2484, 689, 606, 13026, 22657, 6616, 4986, 540, 1018, 1185, 581, 6420, 523, 741, 3885, 269, 13677, 6261, 565, 880, 5081, 7724, 538, 741, 19421, 16204, 836, 909, 563, 7197, 11932, 267, 519, 2717, 525, 8036, 585, 519, 1985, 3942, 538, 519, 2112, 543, 519, 19802, 540, 741, 2197, 269, 2274, 1597, 543, 922, 4478, 1858, 729, 1141, 519, 14470, 1612, 778, 1393, 32531, 1228, 799, 10692, 693, 23172, 1335, 729, 4646, 269, 634, 14470, 3689, 14022, 10696, 10406, 799, 729, 547, 10646, 3294, 538, 4864, 476, 3707, 275, 538, 519, 14656, 540, 519, 674, 8403, 1047, 29361, 543, 538, 519, 12959, 585, 519, 19802, 540, 19934, 543, 26652, 8036, 538, 519, 645, 7451, 269, 630, 21132, 19524, 267, 11683, 29731, 12254, 529, 18721, 5839, 345, 2131, 267, 5747, 538, 25470, 538, 476, 1960, 275, 9907, 476, 6200, 1916, 303, 1690, 659, 345, 330, 22603, 729, 1631, 1932, 2025, 585, 4395, 1467, 11645, 543, 689, 476, 3707, 274, 268, 3393, 267, 646, 729, 6728, 539, 538, 25470, 7231, 609, 519, 1071, 268, 867, 1588, 540, 14470, 543, 3703, 4108, 6042, 269, 9282, 519, 14470, 2229, 2987, 7721, 850, 729, 1759, 538, 5507, 267, 25470, 729, 1360, 1454, 519, 3854, 540, 713, 608, 6150, 2146, 269, 898, 24428, 513, 14470, 2564, 1153, 543, 6413, 269, 898, 849, 1185, 14470, 2835, 10914, 543, 3984, 1564, 563, 2691, 267, 538, 4873, 476, 3707, 272, 267, 13609, 5828, 593, 23237, 267, 930, 476, 1911, 267, 1822, 2717, 525, 538, 8168, 24811, 941, 4847, 856, 540, 519, 8168, 5742, 269, 3509, 7980, 543, 21127, 267, 1519, 610, 874, 753, 267, 1131, 1118, 741, 1259, 547, 10430, 563, 303, 1690, 659, 345, 330, 22603, 781, 2063, 20171, 2394, 519, 1439, 540, 476, 3707, 277, 729, 607, 513, 32082, 547, 519, 14470, 16065, 5441, 538, 4053, 1088, 15734, 563, 763, 1439, 540, 519, 2112, 729, 711, 547, 1294, 513, 15112, 11244, 2132, 547, 513, 5391, 23306, 12996, 269, 1306, 513, 1267, 540, 11650, 1500, 693, 1855, 327, 3757, 538, 476, 3707, 274, 543, 693, 962, 531, 3279, 538, 476, 3707, 276, 267, 12996, 729, 547, 1265, 3294, 896, 8168, 28735, 2394, 476, 2735, 280, 543, 15629, 1847, 7178, 2072, 269, 700, 342, 578, 267, 623, 1690, 659, 345, 330, 22603, 781, 1753, 4884, 267, 729, 547, 581, 12842, 883, 519, 8168, 5742, 563, 303, 1690, 659, 345, 330, 22603, 267, 899, 519, 5354, 540, 519, 476, 1220, 267, 1822, 268, 17641, 14470, 4229, 267, 8359, 547, 2611, 538, 24815, 269, 19759, 569, 267, 538, 10430, 267, 1082, 1100, 3476, 20888, 519, 2717, 525, 269, 3509, 4718, 23237, 607, 1434, 2025, 834, 4462, 2193, 15608, 257, 543, 1223, 711, 1174, 519, 2717, 525, 262, 31464, 1145, 547, 2132, 1753, 269, 1703, 941, 1082, 2665, 540, 2717, 525, 1373, 26884, 538, 519, 10754, 563, 303, 1690, 659, 345, 330, 22603, 4956, 547, 2611, 538, 25470, 269, 3571, 7385, 267, 12756, 10197, 663, 3298, 6390, 267, 7247, 646, 9310, 538, 476, 4572, 275, 543, 609, 7247, 646, 1185, 513, 5067, 267, 1656, 337, 2763, 329, 267, 5747, 538, 476, 3707, 276, 269, 1717, 267, 646, 1336, 8788, 1586, 676, 2261, 11538, 513, 29703, 4807, 267, 16910, 18333, 595, 2660, 718, 267, 538, 2904, 519, 1739, 1032, 563, 1103, 476, 3422, 275, 267, 519, 14470, 2229, 2987, 7721, 850, 3090, 1227, 15469, 623, 1690, 659, 345, 330, 22603, 547, 2407, 3935, 601, 269, 901, 2229, 267, 865, 1419, 3541, 3660, 676, 519, 1209, 1235, 538, 12996, 543, 676, 1082, 538, 519, 4639, 267, 7283, 32344, 543, 3020, 543, 538, 476, 2735, 280, 729, 2111, 547, 2132, 519, 1202, 793, 5362, 540, 5604, 547, 513, 16048, 24339, 5597, 11221, 2229, 538, 32160, 563, 7628, 1010, 942, 538, 25470, 267, 1454, 540, 799, 4718, 1864, 23217, 1818, 513, 2713, 607, 513, 32529, 267, 646, 729, 606, 3742, 267, 1134, 2000, 27419, 543, 15197, 4759, 540, 519, 14470, 2146, 543, 513, 26106, 23702, 540, 519, 14470, 1401, 10687, 321, 520, 1218, 5948, 267, 593, 3220, 636, 12107, 9255, 563, 1103, 476, 1960, 274, 267, 16910, 18333, 5747, 267, 865, 1310, 476, 7367, 1296, 538, 10430, 646, 6410, 547, 20767, 828, 724, 267, 538, 595, 3518, 6319, 547, 2661, 609, 741, 8250, 267, 16910, 322, 553, 267, 543, 6264, 18244, 269, 1261, 1131, 2611, 538, 713, 2296, 10315, 585, 519, 14230, 540, 1010, 2395, 563, 1103, 476, 1220, 272, 267, 593, 519, 8317, 540, 623, 1690, 659, 345, 330, 22603, 781, 476, 13040, 628, 14512, 267, 519, 14470, 3117, 592, 4937, 16539, 1864, 609, 835, 540, 12996, 781, 5207, 17758, 267, 519, 12079, 619, 9061, 540, 2717, 8205, 10163, 527, 25917, 269, 0, 288, 3301, 1907, 547, 3362, 1711, 5842, 4486, 12222, 269, 10439, 1125, 1570, 8928, 267, 1648, 610, 3790, 543, 4159, 2095, 9424, 538, 1184, 1949, 269, 2422, 995, 585, 1184, 8030, 267, 4648, 538, 1648, 2359, 267, 3653, 267, 1216, 267, 17825, 543, 2298, 563, 309, 619, 542, 281, 476, 275, 269, 276, 324, 256, 26596, 4486, 910, 513, 3301, 1907, 547, 3362, 1711, 5842, 4486, 12222, 269, 589, 5842, 4486, 6516, 568, 513, 4287, 531, 2095, 5750, 1141, 519, 9588, 540, 519, 21985, 568, 14354, 547, 519, 7274, 540, 2095, 563, 299, 545, 1619, 281, 5131, 1677, 8347, 454, 23330, 908, 3590, 281, 8837, 454, 26596, 4486, 12222, 616, 513, 3730, 1259, 540, 3308, 1944, 1570, 8928, 267, 1648, 4398, 610, 3790, 563, 2252, 596, 616, 513, 3114, 11653, 267, 606, 2825, 11653, 610, 1184, 11653, 267, 513, 3318, 538, 2298, 2359, 267, 17825, 610, 8804, 267, 596, 666, 946, 552, 256, 26596, 4486, 12222, 547, 4159, 2095, 9424, 538, 513, 2504, 1062, 269, 26597, 4159, 543, 18440, 3681, 948, 596, 1205, 519, 1655, 5842, 4486, 12222, 585, 707, 6881, 4318, 256, 26596, 4486, 2306, 5373, 5842, 4486, 2095, 12222, 2731, 2653, 563, 2080, 616, 519, 1292, 2934, 540, 713, 3301, 912, 268, 21370, 9375, 609, 1184, 630, 27161, 1070, 21985, 267, 10297, 267, 824, 21370, 2609, 630, 324, 3052, 269, 13551, 267, 17031, 13551, 267, 31753, 1070, 3515, 267, 10828, 267, 1257, 267, 3239, 267, 3875, 9375, 3681, 630, 324, 3052, 269, 7470, 267, 26882, 547, 7470, 1070, 10828, 267, 4336, 454, 268, 6516, 281, 5299, 261, 335, 4292, 267, 18186, 4040, 267, 7650, 6885, 454, 268, 946, 30966, 10959, 6119, 454, 268, 9185, 1104, 24013, 29174, 1412, 299, 633, 13017, 7055, 268, 3818, 3693, 12575, 454, 268, 3157, 14672, 3941, 281, 8749, 543, 759, 1125, 267, 946, 3239, 267, 17157, 691, 19922, 267, 12575, 10774, 728, 1184, 6003, 267, 12404, 9136, 454, 268, 21985, 281, 2721, 15561, 8220, 3157, 267, 556, 6618, 267, 1039, 8928, 547, 15561, 267, 4283, 7274, 267, 3442, 2681, 267, 1196, 3386, 15561, 6003, 609 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 789, 786, 711, 581, 2111, 547, 5838, 519, 5567, 602, 789, 991, 269, 9453, 513, 5818, 539, 1973, 2095, 267, 519, 15799, 19221, 786, 2253, 267, 543, 602, 786, 1267, 538, 513, 4049, 13487, 10654, 269, 1280, 713, 2601, 267, 1004, 945, 1491, 2493, 1231, 547, 2569, 741, 1973, 8501, 5232, 616, 2965, 693, 513, 6659, 3463, 585, 513, 13487, 10654, 563, 26807, 569, 267, 596, 1810, 1406, 2965, 1616, 547, 1995, 513, 13487, 10654, 267, 2705, 9001, 2493, 1231, 666, 11613, 2333, 707, 3463, 269, 7324, 519, 2427, 2360, 540, 2921, 891, 5061, 568, 602, 596, 786, 6157, 1995, 4887, 2527, 4617, 1448, 269, 2755, 713, 10835, 568, 1152, 1769, 607, 1134, 607, 4465, 1406, 1860, 707, 12588, 547, 960, 267, 621, 9090, 3884, 1406, 4376, 596, 6999, 547, 4308, 609, 269, 11534, 5242, 5222, 1331, 3138, 4923, 612, 540, 519, 6367, 1564, 267, 13110, 1145, 267, 15353, 267, 607, 1134, 607, 606, 2333, 538, 519, 4908, 540, 897, 1091, 269, 2368, 1004, 723, 1256, 3989, 519, 9854, 602, 789, 2731, 1745, 607, 1373, 13380, 547, 2469, 547, 519, 1439, 3942, 540, 2860, 563, 2252, 596, 616, 6236, 4358, 2126, 267, 3717, 547, 707, 10629, 7282, 519, 2009, 2427, 2360, 543, 12178, 269, 6465, 1231, 616, 6700, 676, 2564, 4648, 782, 936, 519, 8608, 543, 616, 4749, 3177, 547, 2043, 945, 723, 1164, 25928, 8501, 2157, 269, 28900, 267, 596, 1590, 7683, 979, 936, 782, 5079, 609, 707, 4387, 1991, 547, 4098, 1022, 2186, 540, 4990, 540, 4915, 267, 3226, 952, 596, 723, 8459, 4576, 610, 824, 2101, 2564, 4145, 563, 763, 5377, 1899, 568, 602, 972, 616, 1082, 1114, 2798, 596, 666, 798, 547, 2539, 707, 2347, 8501, 267, 1519, 707, 2732, 20786, 267, 3635, 267, 2597, 2359, 267, 543, 849, 6659, 4616, 540, 3536, 602, 616, 1164, 538, 31613, 267, 610, 5140, 8501, 269, 3690, 9600, 1336, 538, 930, 7986, 18226, 24284, 616, 513, 1966, 585, 6266, 540, 1004, 607, 1134, 607, 1058, 581, 15286, 952, 2009, 269, 2201, 1283, 540, 602, 267, 596, 1590, 3801, 547, 3548, 607, 2635, 543, 7059, 540, 513, 2732, 607, 15164, 267, 9319, 9761, 3536, 543, 10438, 1256, 811, 3536, 602, 616, 1164, 538, 2635, 3940, 269, 1452, 3536, 616, 711, 1152, 1390, 585, 596, 267, 855, 616, 10123, 2731, 2241, 547, 1265, 267, 602, 2306, 9013, 707, 8501, 2864, 2241, 269, 0, 763, 18325, 11920, 26563, 2678, 630, 294, 11965, 264, 540, 5545, 16264, 8701, 11497, 3438, 590, 5085, 2894, 292, 3096, 513, 2983, 18785, 585, 519, 1101, 942, 593, 513, 16264, 5692, 269, 901, 26563, 2678, 786, 7747, 16264, 18325, 12345, 585, 476, 272, 1032, 610, 811, 547, 3313, 3114, 5888, 936, 519, 3003, 16264, 2627, 269, 1280, 9023, 519, 2983, 18785, 267, 649, 7550, 513, 853, 26325, 3956, 665, 944, 518, 269, 634, 590, 5085, 2894, 292, 717, 11965, 8184, 2203, 729, 6192, 543, 606, 1648, 6571, 540, 476, 274, 269, 271, 1183, 309, 630, 293, 20062, 300, 264, 693, 476, 272, 269, 3451, 2725, 309, 729, 6913, 269, 901, 1957, 6257, 519, 3877, 540, 519, 18785, 2275, 787, 8328, 1062, 543, 922, 2773, 563, 347, 11210, 372, 12530, 352, 12530, 376, 12530, 488, 12530, 360, 1475, 301, 13086, 29698, 543, 10613, 538, 8212, 3194, 267, 8791, 589, 281, 24665, 2209, 267, 15190, 668, 4394, 267, 23618, 832, 543, 23105, 16811, 2008, 347, 24731, 29830, 486, 11210, 373, 12530, 484, 12530, 376, 11210, 379, 11210, 373, 1475, 13775, 910, 476, 1220, 276, 476, 279, 476, 2641, 2008, 3008, 297, 290, 2480, 22455, 1641, 2127, 0, 23742, 614, 676, 9904, 454, 26524, 827, 2142, 525, 454, 3963, 616, 15790, 10938, 10987, 1572, 15790, 10938, 10987, 888, 2710, 11832, 10987, 6146, 20473, 10987, 585, 22178, 1465, 888, 6701, 782, 10987, 9932, 10987, 888, 1432, 568, 835, 3017, 1063, 5256, 10987, 543, 4775, 10987, 888, 6701, 10987, 2831, 888, 6701, 10987, 606, 5521, 888, 1432, 616, 9932, 10987, 1572, 888, 2710, 15790, 10938, 10987, 29097, 596, 888, 6701, 15790, 10938, 10987, 5739, 888, 6701, 15790, 10938, 10987, 16160, 888, 8489, 616, 15790, 10938, 10987, 2356, 1336, 888, 1692, 798, 596, 1205, 7759, 540, 15790, 10938, 10987, 888, 2710, 15790, 10938, 10987, 6861, 3574, 888, 1432, 1131, 4755, 952, 782, 519, 10987, 5747, 888, 1692, 798, 519, 10987, 1118, 9932, 888, 4692, 5243, 581, 13027, 547, 10987, 888, 6701, 5243, 13027, 547, 10987, 888, 3963, 568, 621, 1572, 519, 5017, 543, 519, 10987, 888, 1432, 568, 519, 5017, 543, 519, 10987, 888, 3963, 798, 789, 1289, 621, 519, 5017, 543, 519, 10987, 888, 1432, 1281, 519, 5017, 543, 519, 10987, 1611, 888, 2710, 5017, 3548, 10987, 888, 1432, 568, 519, 5017, 543, 519, 10987, 1650, 888, 9989, 3276, 339, 781, 10987, 1449, 593, 2831, 888, 1432, 2831, 3548, 10987, 888, 1692, 1281, 519, 5017, 543, 519, 10987, 1650, 979, 888, 2710, 16835, 3548, 10987, 888, 290, 727, 2059, 609, 803, 543, 519, 17984, 543, 10987, 888, 6701, 9932, 10987, 5065, 547, 5087, 13314, 888, 3963, 5017, 543, 10987, 888, 1432, 568, 519, 5017, 543, 519, 10987, 2911, 888, 8005, 31025, 519, 5017, 543, 519, 10987, 888, 1432, 1281, 5017, 543, 519, 10987, 1611, 888, 1432, 781, 519, 5017, 543, 519, 10987, 888, 1692, 9932, 568, 1500, 676, 9932, 10987, 888, 1692, 723, 9932, 10987, 7960, 888, 1692, 1082, 10987, 1281, 621, 1491, 547, 1118, 513, 23188, 540, 9932, 888, 1692, 1454, 9932, 798, 10987, 1118, 538, 513, 1554, 888, 1692, 1082, 10987, 1281, 621, 1491, 547, 1118, 513, 20220, 540, 9932, 888, 1692, 1082, 10987, 616, 538, 513, 11013, 888, 2710, 782, 536, 18443, 10987, 1118, 9932, 888, 2710, 3529, 536, 18443, 10987, 1118, 9932, 888, 2710, 536, 18443, 10987, 5884, 950, 789, 29097, 596, 888, 2710, 519, 2462, 3109, 543, 5835, 536, 18443, 10987, 29097, 888, 2710, 782, 10987, 29097, 888, 4692, 15790, 10938, 10987, 29097, 596, 888, 6701, 15790, 10938, 10987, 5906, 888, 6701, 15790, 10938, 10987, 2731, 20027, 888, 6701, 15790, 10938, 10987, 1434, 25199, 888, 7617, 10987, 616, 25199, 286, 0, 24375, 1676, 781, 20636, 609, 476, 273, 23866, 7131, 338, 1496, 4415, 476, 273, 7131, 338, 316, 630, 295, 2089, 665, 16867, 10670, 1676, 781, 264, 630, 26261, 3724, 994, 22492, 11352, 910, 949, 581, 856, 540, 1820, 454, 763, 10545, 540, 519, 32090, 2477, 267, 16862, 568, 1500, 909, 540, 513, 25345, 630, 297, 583, 1633, 264, 7923, 547, 7187, 5125, 267, 543, 513, 4015, 540, 10195, 1634, 607, 519, 20636, 5246, 28396, 269, 7073, 9275, 20636, 814, 6591, 513, 10639, 607, 1373, 11108, 543, 2352, 585, 30707, 547, 1174, 543, 4487, 269, 634, 8370, 20636, 24008, 2099, 28465, 1114, 4992, 543, 1034, 540, 519, 19283, 1218, 616, 796, 17383, 5367, 269, 589, 2189, 4183, 568, 519, 1412, 560, 617, 3299, 519, 1350, 582, 2145, 3247, 267, 1031, 547, 10646, 1063, 1896, 4630, 11618, 543, 1913, 269, 634, 667, 6951, 849, 4043, 547, 6749, 1102, 3005, 531, 30804, 267, 543, 713, 9228, 544, 22824, 267, 1256, 538, 6101, 3044, 20636, 267, 949, 1459, 2042, 547, 1346, 1565, 519, 1893, 269, 634, 8301, 7131, 338, 3746, 1047, 12332, 543, 2232, 891, 2152, 538, 513, 3126, 540, 2502, 5751, 593, 26250, 902, 267, 1920, 267, 7619, 923, 267, 18226, 267, 4576, 267, 14812, 543, 16873, 269, 17828, 585, 1312, 4928, 543, 4830, 1053, 267, 519, 1433, 849, 3568, 4245, 593, 8239, 267, 513, 29395, 540, 6863, 1913, 267, 543, 513, 9488, 4367, 547, 20636, 1686, 543, 2528, 269, 0, 294, 4261, 528, 540, 11882, 267, 25960, 267, 772, 2529, 269, 8136, 20229, 267, 30374, 269, 18004, 538, 21086, 267, 646, 729, 29152, 539, 693, 513, 1762, 2085, 543, 729, 7550, 676, 1010, 11515, 267, 15656, 15391, 15838, 267, 835, 540, 519, 1129, 619, 540, 519, 16672, 540, 14412, 269, 1261, 13984, 667, 691, 17625, 5441, 543, 2663, 11843, 547, 23171, 1141, 646, 21783, 538, 476, 9965, 276, 269, 2991, 10707, 547, 2342, 267, 646, 8120, 547, 21086, 547, 1353, 1876, 543, 729, 15861, 547, 519, 3046, 538, 476, 9692, 274, 269, 15391, 15838, 13736, 607, 606, 18607, 538, 21086, 2394, 476, 5197, 271, 547, 2951, 547, 519, 5375, 13571, 1512, 269, 1261, 12306, 538, 519, 19566, 24540, 538, 476, 5197, 272, 543, 13713, 5030, 538, 8479, 560, 1144, 1354, 759, 9116, 1782, 538, 25350, 269, 1261, 729, 12912, 676, 17197, 3645, 17135, 14880, 853, 269, 1849, 1515, 607, 31924, 29962, 540, 1533, 17740, 807, 10136, 538, 519, 5375, 15944, 267, 513, 851, 540, 519, 8513, 602, 729, 10645, 676, 21086, 799, 2663, 2968, 519, 22583, 851, 540, 11882, 269, 1261, 729, 849, 12912, 676, 853, 269, 1849, 1515, 607, 10456, 540, 519, 13458, 269, 15391, 15838, 729, 513, 15518, 622, 689, 2558, 3518, 1638, 6019, 547, 519, 11882, 3557, 25799, 13482, 538, 476, 5197, 273, 269, 1879, 11882, 2968, 513, 1533, 538, 476, 5197, 274, 267, 646, 729, 11221, 547, 519, 3557, 14130, 543, 729, 6074, 607, 29150, 540, 519, 14130, 269, 1261, 1152, 6039, 538, 713, 2990, 585, 513, 1906, 3275, 2394, 646, 729, 11221, 676, 11882, 781, 4937, 13909, 607, 606, 21133, 10456, 540, 519, 11882, 10966, 7040, 538, 4989, 540, 476, 5197, 274, 269, 1261, 2968, 12751, 10456, 538, 476, 5197, 275, 950, 17776, 808, 269, 2725, 12127, 267, 12789, 269, 759, 11220, 269, 15391, 15838, 729, 11221, 607, 11882, 781, 476, 274, 6113, 17135, 538, 476, 5197, 279, 269, 4438, 1010, 7245, 267, 11882, 5185, 1896, 2101, 2152, 1519, 6161, 827, 2469, 547, 2112, 609, 4279, 6628, 267, 7521, 827, 519, 8628, 4087, 540, 519, 3854, 267, 543, 519, 8429, 540, 11882, 781, 834, 23325, 16572, 1701, 1261, 729, 711, 513, 11134, 585, 556, 324, 3005, 538, 476, 8687, 271, 543, 8359, 3079, 547, 2196, 585, 519, 2136, 2276, 14130, 5667, 15471, 2685, 1996, 7338, 1937, 2251, 2023, 269, 15391, 15838, 1287, 12349, 513, 1989, 626, 1984, 538, 1715, 15734, 593, 7085, 15880, 543, 13234, 519, 1984, 585, 513, 1906, 1296, 2394, 646, 6410, 547, 10266, 525, 6807, 24104, 1222, 1141, 646, 5280, 547, 1336, 519, 8498, 540, 12876, 1636, 538, 476, 8687, 273, 269, 1261, 729, 12912, 676, 4937, 5261, 8361, 26858, 538, 476, 8687, 274, 607, 513, 9796, 24490, 543, 29962, 538, 519, 2136, 2276, 8136, 269, 15391, 15838, 729, 849, 519, 1101, 812, 547, 1095, 728, 607, 9835, 9457, 540, 519, 9835, 700, 17690, 540, 11882, 269, 769, 476, 8687, 278, 267, 646, 729, 7166, 538, 606, 8009, 1247, 27459, 2358, 4070, 593, 513, 4155, 602, 3366, 547, 1010, 10040, 538, 10266, 525, 6807, 267, 11882, 563, 27807, 676, 281, 918, 24053 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7344, 4162, 540, 519, 14656, 10766, 616, 11689, 1242, 267, 1287, 3181, 1872, 519, 7344, 4162, 540, 519, 6679, 10766, 281, 6679, 942, 267, 6679, 1114, 942, 267, 3328, 6679, 3432, 267, 6679, 25483, 17931, 269, 1656, 1118, 519, 4143, 3181, 19982, 5638, 563, 273, 269, 4530, 519, 1292, 5547, 4187, 454, 274, 269, 10243, 532, 519, 7271, 585, 476, 2004, 4693, 8255, 540, 519, 14656, 543, 6679, 19235, 563, 275, 269, 1449, 519, 7344, 4162, 1310, 519, 4693, 2196, 547, 1294, 952, 972, 616, 1804, 24017, 689, 519, 3312, 1449, 1239, 267, 5659, 519, 1239, 267, 543, 4188, 519, 7344, 4162, 563, 276, 269, 27043, 519, 5547, 30517, 7271, 267, 1491, 5469, 540, 519, 2500, 10380, 540, 519, 954, 24286, 7271, 563, 277, 269, 10069, 1242, 547, 3713, 2436, 519, 5547, 30517, 666, 581, 8118, 543, 6806, 7363, 538, 519, 1449, 543, 2324, 2990, 267, 2436, 519, 561, 10248, 543, 7344, 954, 24286, 616, 2500, 267, 543, 2436, 519, 896, 19581, 5653, 1599, 666, 581, 7691, 563, 763, 1527, 1069, 517, 576, 1449, 540, 24140, 597, 3726, 30517, 454, 763, 7914, 7735, 1449, 540, 5547, 30517, 454, 763, 9018, 11281, 1449, 540, 5547, 30517, 454, 763, 4152, 5123, 568, 519, 1034, 1898, 851, 540, 519, 2504, 1899, 269, 1656, 538, 824, 1913, 267, 649, 1491, 519, 1034, 8561, 593, 2298, 269, 898, 568, 827, 519, 3106, 540, 938, 6075, 543, 519, 28946, 2225, 540, 938, 2754, 269, 1284, 723, 3144, 519, 2298, 538, 14553, 9013, 563, 19226, 1639, 1587, 5920, 3942, 454, 272, 269, 22087, 8228, 454, 763, 14950, 8228, 540, 5547, 30517, 454, 1607, 568, 519, 3003, 1184, 540, 519, 2504, 1899, 540, 519, 5547, 30517, 269, 2060, 519, 5051, 1164, 26024, 4170, 593, 519, 1699, 2344, 267, 519, 2472, 723, 811, 543, 811, 22608, 4441, 585, 8840, 4390, 267, 1272, 267, 10727, 269, 2290, 1448, 568, 602, 649, 1058, 1118, 938, 3684, 10682, 267, 799, 1223, 2087, 4398, 543, 2569, 5470, 3928, 269, 543, 1776, 1448, 568, 547, 1852, 519, 2298, 1184, 547, 2327, 519, 3106, 540, 938, 5561, 563, 28775, 995, 713, 1223, 1118, 707, 6718, 3375, 538, 3624, 2344, 827, 519, 5547, 2736, 619, 269, 0, 25200, 10573, 306, 18754, 12539, 622, 1475, 2704, 5362, 10573, 306, 18649, 267, 590, 18649, 12891, 2008, 18871, 8707, 16754, 10573, 27845, 8975, 480, 4596, 8975, 481, 1475, 291, 3748, 10573, 273, 269, 276, 3953, 717, 30763, 23326, 2008, 23277, 601, 1154, 8672, 10573, 5952, 272, 21508, 481, 1475, 32098, 10573, 19749, 354, 476, 7176, 269, 279, 260, 2008, 7176, 269, 279, 260, 31406, 12539, 622, 10878, 273, 4596, 274, 2676, 5392, 278, 268, 866, 268, 279, 31406, 12539, 622, 10878, 273, 4596, 274, 2676, 5392, 278, 268, 866, 268, 279, 14255, 273, 1723, 274, 9770, 19941, 454, 306, 18754, 12539, 622, 4400, 10866, 1323, 5139, 9317, 590, 18649, 12891, 10878, 273, 4596, 274, 31909, 476, 5392, 278, 268, 866, 268, 279, 454, 306, 18754, 19941, 568, 513, 3043, 17627, 1652, 8869, 610, 9325, 693, 4055, 2837, 269, 898, 814, 1216, 10338, 3959, 543, 7930, 25309, 476, 272, 28485, 1315, 700, 1216, 538, 519, 6534, 2011, 630, 12671, 815, 476, 1428, 22103, 3752, 12657, 538, 1216, 543, 9848, 1356, 514, 269, 898, 568, 5594, 19729, 538, 606, 5139, 9317, 19844, 543, 2352, 547, 23271, 538, 605, 3966, 565, 269, 634, 3070, 568, 22279, 543, 666, 1118, 4307, 20462, 628, 1446, 514, 2699, 563, 347, 13707, 12659, 8932, 1543, 630, 20412, 730, 676, 519, 2527, 6824, 540, 10878, 4596, 274, 593, 6632, 4493, 8358, 260, 21759, 1475, 7176, 269, 272, 1475, 9032, 269, 280, 1475, 9032, 269, 276, 1475, 9834, 269, 278, 2008, 16085, 18754, 17296, 630, 2421, 2527, 6824, 540, 10878, 5141, 593, 3819, 4493, 8358, 260, 18016, 1475, 271, 269, 274, 1475, 271, 269, 278, 1475, 271, 269, 280, 1475, 272, 269, 273, 2008, 347, 22709, 6824, 540, 4401, 630, 25539, 264, 630, 323, 787, 4493, 8358, 260, 18016, 1475, 271, 269, 19740, 1475, 271, 269, 19740, 276, 1475, 271, 269, 24879, 1475, 271, 269, 4905, 2008, 347, 22709, 6824, 540, 1216, 1202, 565, 889, 956, 270, 260, 18016, 1475, 271, 269, 6349, 1475, 271, 269, 6734, 1475, 271, 269, 272, 1475, 271, 269, 1428, 2008, 347, 8512, 1834, 2450, 267, 521, 10079, 21225, 1315, 260, 1475, 5197, 19031, 332, 21759, 1475, 4037, 1475, 3583, 1475, 4792, 1475, 2568, 2008, 306, 18754, 19941, 568, 606, 1271, 5214, 3114, 6151, 1570, 267, 5631, 1031, 538, 519, 2504, 540, 6366, 4837, 267, 4837, 2472, 543, 17375, 1350, 10270, 269, 898, 568, 849, 4922, 1031, 538, 6469, 11067, 267, 3679, 9243, 1436, 543, 1426, 4393, 563, 23086, 12287, 281, 25014, 545, 454, 307, 601, 281, 1341, 10436, 476, 16928, 25971, 8660, 273, 7906, 0, 1432, 1772, 8381, 11529, 888, 24841, 11529, 10522, 513, 1390, 4308, 540, 2798, 267, 855, 1318, 1934, 779, 26815, 27865, 517, 748, 4214, 594, 2813, 602, 1034, 12439, 786, 7654, 3858, 609, 454, 24841, 11529, 568, 606, 3608, 4739, 602, 3322, 5969, 267, 5935, 267, 543, 849, 19142, 909, 609, 16025, 547, 1711, 25798, 543, 5924, 5363, 1141, 547, 6133, 22386, 4566, 1919, 563, 2467, 568, 4986, 9308, 14053, 827, 22386, 543, 596, 666, 4020, 693, 707, 1378, 10605, 269, 634, 4909, 2035, 616, 2241, 547, 1451, 267, 2943, 621, 779, 513, 15908, 602, 786, 6157, 2141, 3251, 4195, 607, 1134, 607, 9157, 607, 707, 5759, 11457, 269, 1403, 596, 2648, 25107, 267, 596, 786, 6157, 899, 22386, 269, 594, 723, 2965, 8854, 547, 713, 585, 936, 476, 2412, 1296, 543, 849, 4308, 609, 1007, 2591, 609, 1169, 4305, 594, 4020, 563, 2005, 12851, 547, 519, 1184, 269, 898, 779, 10123, 8366, 532, 547, 3132, 2731, 3579, 1919, 585, 707, 2777, 1210, 707, 3946, 607, 1134, 607, 2247, 269, 769, 2489, 267, 22386, 568, 513, 2731, 13737, 1995, 281, 952, 596, 616, 513, 3787, 25644, 30062, 543, 849, 2648, 7829, 6009, 2429, 267, 596, 786, 2648, 22386, 563, 8005, 3657, 8381, 32305, 888, 2467, 1031, 547, 581, 1079, 11475, 540, 3574, 32305, 269, 634, 1423, 16408, 6300, 4116, 602, 4951, 513, 2731, 796, 15517, 532, 1576, 547, 19920, 602, 2731, 1705, 711, 1616, 547, 2291, 267, 543, 849, 519, 19622, 22516, 945, 2322, 339, 1229, 827, 538, 1010, 25880, 609, 513, 1390, 4308, 540, 942, 547, 4020, 606, 17573, 6177, 5264, 563, 293, 6136, 267, 1346, 11475, 616, 1100, 3476, 1483, 269, 1703, 568, 811, 4763, 538, 22386, 4867, 982, 538, 519, 2250, 267, 7064, 547, 593, 11060, 16973, 607, 1134, 607, 519, 3902, 540, 3457, 543, 849, 2472, 563, 1103, 519, 2250, 4557, 1296, 972, 814, 1044, 513, 2462, 10006, 538, 476, 273, 6887, 540, 1004, 1818, 22386, 513, 15908, 269, 21231, 267, 21031, 269, 898, 1185, 711, 1044, 602, 1279, 3516, 950, 513, 2021, 3574, 1740, 518, 729, 8966, 269, 4653, 267, 2021, 3574, 32305, 616, 11342, 269, 1703, 568, 11613, 4986, 827, 22386, 602, 1022, 1268, 666, 1406, 798, 563, 763, 2034, 2462, 1895, 21782, 814, 1044, 10838, 15940, 10118, 267, 1004, 538, 741, 476, 736, 338, 543, 849, 476, 1789, 338, 269, 594, 3717, 609, 2043, 693, 782, 2053, 945, 7500, 538, 13339, 14860, 610, 1175, 723, 930, 1826, 540, 9036, 960, 543, 1745, 519, 3747, 547, 1118, 2798, 609, 741, 3946, 563, 1432, 779, 634, 16338, 769, 9737, 589, 968, 10048, 3011, 25033, 892, 1306, 4270, 1306, 589, 968, 24841, 13480, 518, 892, 888, 288, 10672, 568, 513, 5266, 6216, 20642, 2165, 602, 814, 2965, 5828, 909, 538, 519, 2250, 1296, 610, 865, 269, 898, 779, 513, 3102, 2165, 585, 2043, 602, 899, 547, 1199, 323, 548, 1114, 13492, 269, 901, 1223, 17538, 513, 2370, 22386, 267, 4496, 11529, 267, 3134, 2135, 3539, 267, 598, 920, 1154, 267, 2780, 1062, 5752, 267, 11418, 267, 476, 274, 291, 8228, 267, 11256, 267, 22927, 267, 26095, 267, 14446, 2504, 267, 9380, 532, 267, 23907, 267, 17562, 267, 1256, 4730, 609, 6181, 657, 269, 1924, 3622, 267, 649, 616, 782, 9755, 563, 288, 3574, 1740, 518, 568, 513, 10672, 602, 568, 5631, 3206, 827, 12423, 607, 1134, 607, 5386, 2389, 12941, 519, 4739, 540, 2870, 1919, 856, 540, 3574, 269, 6884, 649, 3142, 824, 2326, 1318, 883, 938, 4247, 267, 855, 519, 1445, 568, 593, 519, 3574, 269, 898, 779, 513, 6578, 7888, 267, 5929, 1587, 602, 779, 1360, 2653, 547, 1020, 609, 563, 307, 539, 779, 476, 1626, 267, 1822, 8381, 11529, 12697, 454, 296, 4076, 1185, 1250, 3750, 593, 23413, 779, 476, 1626, 267, 1822, 22386, 5965, 585, 513, 1279, 942, 563, 2005, 7902, 1932, 5140, 547, 581, 3020, 269, 4634, 1498, 594, 6557, 711, 513, 13730, 3574, 1740, 518, 267, 594, 23125, 952, 594, 1500, 835, 610, 513, 1906, 540, 519, 4247, 689, 519, 10189, 621, 1131, 581, 2724, 1134, 6170, 563, 7069, 1719, 5833, 519, 1034, 2500, 540, 803, 269, 594, 3787, 519, 16886, 543, 849, 11751, 621, 269, 1358, 3761, 513, 32479, 865, 594, 23125, 952, 621, 729, 11207, 4502, 1652, 594, 666, 7662, 585, 1250, 32479, 563, 3674, 568, 1932, 5140, 547, 581, 1483, 888, 8253, 2731, 269, 898, 779, 2463, 762, 269, 898, 779, 711, 1655, 267, 2705, 621, 779, 1390, 563, 5278, 540, 519, 2994, 616, 865, 3983, 2943, 616, 15538, 540, 3274, 547, 14132, 909, 519, 6455, 12334, 540, 968, 1626, 267, 1822, 892, 2994, 563, 4517, 1287, 1896, 540, 519, 2994, 616, 1390, 269, 2368, 616, 620, 2431, 269, 594, 6557, 711, 588, 684, 2740, 621, 779, 711, 1655, 269, 898, 779, 513, 5458, 4015, 607, 1134, 607, 4999, 540, 1114, 5965, 585, 782, 1826, 540, 2472, 563, 19350, 779, 519, 1259, 540, 3206, 596, 991, 547, 723, 952, 596, 6718, 23413, 779, 8381, 11529, 269, 10088, 557, 519, 1249, 596, 786, 711, 899, 1169, 1544, 269, 1306, 513, 2339, 540, 1249, 267, 29343, 596, 786, 4440, 31831, 476, 3445, 260, 610, 811, 540, 873, 585, 1022, 1297, 540, 4128, 971, 607, 519, 4566, 3765, 2041, 17647, 543, 5924, 789, 5749, 1406, 3785, 596, 7287, 547, 4020, 563, 289, 7473, 267, 519, 1906, 2994, 602, 596, 798, 899, 799, 616, 1434, 1283, 2298, 267, 952, 596, 1628, 873, 267, 786, 581, 1118, 519, 1942, 540, 713, 5907, 4015, 540, 22386, 2994, 4502, 621, 563, 8005, 1058, 6718, 23413, 779, 8381, 11529, 888, 1607, 568, 585, 2043, 602, 971, 607, 798, 621, 3054, 4247, 269, 589, 2603, 540, 519, 2994, 616, 13042, 968, 8218, 1676, 5608, 968, 514, 23059, 892, 610, 968, 514, 2617, 894, 892, 799, 568, 5363, 563, 10214, 952, 596, 4076, 2760, 2919, 4376, 610, 2944, 1022, 2186, 540, 22386, 267, 713, 568, 513, 2463, 762, 1305, 540, 4566, 547, 1376, 609, 1317, 972, 616, 30497, 4247, 15538, 540, 563, 2791, 666, 1628, 782, 5686, 540, 1919, 585, 707, 1753, 269, 6423, 519, 24920, 540, 4640, 2516, 2630, 563, 4263, 519, 1439, 540, 519, 1554, 267, 952, 596, 798, 519, 9490, 798, 621, 3054, 1788, 610, 546, 629, 1076, 538, 22386, 267, 713, 568, 513, 22510, 4015, 540, 4566, 547, 723, 538, 707, 3761, 563, 3519, 1356, 940, 519, 8605, 454, 296, 723, 711, 18886, 547, 1294, 952, 972, 616, 476, 1626, 267, 1822, 4566, 267, 2705, 594, 19472, 972, 616, 513, 1390, 4308, 540, 873, 563, 14188, 2685, 789, 616, 1134, 6896, 865, 596, 666, 12398, 10502, 1018, 596, 2461, 3843, 547, 1265, 563, 307, 539, 779, 8381, 11529, 568, 3177, 607, 513, 7300, 4647, 269, 898, 779, 2731, 513, 3126, 540, 7300, 28085, 630, 5408, 1544, 28944, 936, 1916, 32701, 267, 596, 666, 11338, 1931, 519, 23861, 4528, 2943, 621, 5036, 596, 1394, 606, 3773, 1269, 866, 269, 4817, 630, 296, 2731, 1705, 711, 2628, 1269, 866, 269, 4817, 585, 519, 23861, 8390, 1916, 5278, 9735, 22386, 2994, 281, 15742, 569, 952, 513, 4640, 568, 1945, 596, 1616, 547, 1020, 543, 849, 519, 4640, 568, 4330, 6190, 547, 1118, 2386, 602, 596, 666, 9096, 519, 1788, 621, 779, 5140, 563, 32701, 267, 513, 1906, 540, 519, 4247, 616, 2025, 607, 1134, 607, 519, 4566, 616, 4057, 1164, 2298, 2560, 865, 4057, 596, 3580, 7654, 1175, 23304, 731, 873, 563, 4002, 519, 543, 849, 2427, 267, 972, 616, 3875, 14222, 4247, 4502, 2497, 269, 1306, 606, 1383, 267, 519, 3138, 1111, 5127, 4640, 936, 568, 11108, 630, 821, 540, 6266, 540, 1916, 11039, 5029, 1242, 281, 594, 729, 10970, 7007, 1310, 3478, 23413, 779, 8381, 11529, 602, 594, 4769, 1406 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1282, 6391, 949, 6318, 519, 1981, 540, 12216, 779, 2068, 269, 968, 6624, 4587, 4079, 1995, 2242, 538, 741, 17133, 5612, 1739, 6391, 543, 4898, 1018, 1909, 519, 1826, 540, 606, 20469, 1522, 723, 5129, 538, 891, 2242, 2223, 1767, 9972, 2278, 28543, 623, 1530, 6308, 689, 519, 2160, 540, 2836, 326, 776, 538, 4516, 563, 2108, 5978, 1353, 2488, 2963, 602, 606, 20469, 4480, 1031, 1282, 1528, 633, 23361, 267, 2489, 23236, 610, 6237, 23236, 568, 711, 2404, 609, 513, 1279, 3856, 1981, 540, 3384, 12110, 2223, 1530, 6308, 3773, 269, 1677, 8495, 267, 3173, 3379, 4598, 547, 2489, 23236, 8957, 6237, 23236, 1282, 1528, 633, 6391, 267, 3168, 585, 1761, 6402, 547, 519, 1646, 540, 12110, 269, 634, 1353, 3769, 476, 278, 267, 275, 4200, 20083, 8424, 540, 2146, 1673, 16946, 2043, 9907, 476, 5780, 1296, 610, 4587, 945, 23384, 6391, 1063, 476, 1220, 278, 543, 476, 1001, 272, 543, 941, 4553, 585, 909, 547, 2947, 1296, 563, 763, 22602, 1336, 1100, 3017, 538, 1981, 540, 1373, 8995, 609, 12110, 585, 2043, 945, 4607, 2489, 23236, 950, 3379, 609, 1346, 945, 4607, 6237, 23236, 269, 968, 2467, 729, 849, 1100, 7681, 1063, 23236, 543, 12110, 538, 1034, 32299, 543, 8417, 9382, 2223, 519, 1353, 4589, 5206, 269, 0, 24169, 519, 6406, 7177, 7726, 7433, 540, 476, 1001, 272, 7177, 7896, 22410, 563, 272, 269, 7327, 532, 540, 17791, 7483, 12904, 538, 519, 2842, 934, 2720, 1813, 547, 454, 5416, 264, 966, 2320, 725, 3361, 2421, 5017, 607, 789, 1694, 267, 593, 610, 1205, 267, 1055, 519, 12904, 454, 6357, 264, 570, 3290, 532, 693, 519, 7475, 454, 6262, 264, 13804, 639, 2360, 454, 5560, 264, 19087, 540, 918, 1301, 534, 966, 29448, 8265, 454, 273, 269, 6904, 835, 540, 519, 1739, 6898, 568, 2953, 15017, 5416, 264, 10871, 11626, 2604, 568, 2141, 14758, 982, 3044, 11626, 2604, 454, 6357, 264, 10871, 11626, 2604, 5673, 2390, 519, 15038, 540, 519, 1327, 1275, 1152, 454, 6262, 264, 11621, 11626, 2604, 568, 519, 1611, 11626, 2604, 693, 694, 1377, 454, 5560, 264, 589, 3046, 10309, 14509, 519, 3017, 1063, 2199, 267, 543, 3044, 11626, 267, 2604, 454, 275, 269, 634, 3350, 540, 2011, 2527, 538, 519, 2013, 540, 8776, 18372, 666, 581, 4330, 607, 912, 5416, 264, 1280, 1027, 966, 29448, 10801, 454, 6357, 264, 5131, 642, 677, 2135, 10801, 454, 6262, 264, 1280, 1027, 966, 29448, 693, 519, 4295, 543, 1863, 642, 29448, 3544, 454, 5560, 264, 5131, 966, 29448, 693, 519, 4295, 543, 7142, 642, 29448, 3544, 454, 12812, 593, 6406, 7177, 7726, 7433, 547, 1491, 1449, 1934, 543, 5965, 1732, 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 ]
[ 1911, 544, 1169, 5662, 269, 1403, 476, 10219, 544, 1223, 581, 4904, 1169, 5662, 32586, 7535, 1131, 581, 2407, 693, 476, 1556, 269, 876, 600, 23130, 729, 519, 5767, 2009, 942, 602, 519, 1216, 1223, 723, 3323, 11423, 519, 7535, 692, 1892, 2979, 910, 692, 6255, 815, 476, 1911, 332, 10774, 2608, 476, 277, 327, 815, 476, 7785, 544, 780, 6255, 269, 815, 476, 10219, 332, 10774, 712, 2608, 2473, 3108, 815, 476, 7785, 544, 563, 10219, 343, 815, 476, 7785, 454, 311, 815, 476, 275, 269, 279, 31477, 815, 476, 275, 327, 3464, 267, 4366, 1295, 547, 6445, 7535, 780, 307, 815, 476, 1556, 281, 876, 910, 476, 275, 281, 4366, 454, 307, 815, 476, 1015, 281, 2568, 910, 476, 275, 281, 4366, 815, 476, 277, 281, 1321, 600, 284, 28275, 942, 780, 2162, 8382, 901, 7726, 692, 3689, 8745, 281, 3427, 13595, 281, 8382, 1384, 2162, 13565, 5999, 692, 5415, 13565, 5999, 692, 8070, 513, 1715, 7726, 0, 258, 1772, 972, 1022, 6935, 1063, 267, 476, 272, 264, 19358, 550, 5223, 538, 29890, 1299, 19358, 550, 540, 17781, 286, 476, 273, 264, 27116, 656, 5223, 538, 29890, 1299, 27116, 656, 540, 17781, 2496, 3674, 972, 1022, 6935, 1063, 267, 476, 272, 264, 19358, 550, 5223, 538, 29890, 1299, 19358, 550, 540, 17781, 286, 476, 273, 264, 27116, 656, 5223, 538, 29890, 1299, 27116, 656, 540, 17781, 2496, 763, 2110, 2626, 568, 9811, 269, 769, 1249, 267, 789, 2461, 9838, 16317, 2005, 2337, 547, 917, 602, 538, 5824, 267, 17242, 1797, 968, 339, 13224, 1848, 769, 16387, 267, 596, 4121, 602, 513, 17242, 18923, 18953, 513, 5858, 267, 12969, 532, 519, 5858, 693, 4010, 835, 1448, 780, 2005, 849, 2337, 547, 917, 602, 538, 5824, 267, 3813, 656, 1797, 968, 13367, 1848, 6904, 2306, 2631, 2094, 513, 3813, 656, 1899, 21100, 998, 513, 5858, 780, 3086, 1577, 779, 1413, 693, 519, 3347, 1063, 519, 5011, 540, 513, 1318, 6906, 950, 602, 6906, 568, 6537, 538, 21408, 656, 594, 540, 519, 5149, 17781, 780, 763, 13711, 10126, 568, 519, 6587, 2427, 540, 519, 3044, 5086, 267, 519, 3039, 10126, 568, 519, 11105, 2427, 540, 519, 3044, 5086, 267, 543, 519, 4544, 10126, 568, 519, 30494, 269, 3767, 267, 2094, 519, 30494, 568, 849, 513, 8953, 540, 519, 5149, 17781, 267, 621, 814, 513, 3259, 3160, 547, 4010, 476, 272, 780, 3383, 593, 713, 6906, 10484, 1012, 5430, 263, 9064, 6661, 263, 29951, 8358, 272, 1012, 284, 519, 3169, 3259, 540, 519, 3039, 10126, 692, 3086, 649, 666, 849, 2721, 513, 1114, 6906, 538, 21408, 656, 476, 272, 780, 4002, 713, 3677, 6906, 267, 519, 11105, 2427, 630, 13582, 10126, 264, 814, 513, 3259, 540, 476, 272, 269, 2913, 779, 1413, 693, 519, 824, 12415, 780, 1012, 3813, 263, 9064, 6661, 263, 1506, 335, 8358, 272, 1012, 815, 519, 3169, 3259, 540, 519, 30494, 269, 634, 1482, 30494, 799, 21100, 998, 519, 5149, 17781, 269, 3807, 899, 519, 3813, 656, 1899, 596, 4121, 827, 538, 16387, 780, 9827, 267, 593, 713, 6906, 1384, 1012, 16009, 263, 9064, 6661, 263, 641, 8358, 272, 1012, 815, 3169, 3259, 540, 519, 13711, 10126, 267, 799, 568, 513, 1899, 13902, 547, 519, 8953, 267, 543, 18923, 15700, 519, 5149, 17781, 693, 513, 2582, 1448, 630, 1492, 1448, 12361, 263, 272, 267, 271, 264, 1012, 6393, 3383, 519, 1871, 540, 519, 3813, 656, 540, 606, 5086, 666, 581, 5462, 676, 7893, 519, 3259, 540, 513, 10126, 602, 31136, 899, 513, 3813, 656, 1899, 689, 16387, 269, 1656, 519, 17242, 540, 606, 5086, 666, 581, 5462, 676, 7893, 513, 10126, 602, 31136, 899, 513, 17242, 1899, 689, 16387, 780, 28775, 713, 2337, 269, 0, 2562, 290, 476, 12208, 9978, 18065, 5811, 692, 258, 5442, 290, 476, 12208, 9978, 18065, 5811, 692, 307, 2946, 331, 2946, 12737, 518, 3288, 929, 15530, 550, 566, 692, 1012, 5442, 290, 476, 12208, 9978, 18065, 5811, 692, 268, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 661, 715, 667, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 20620, 7462, 19809, 3690, 5296, 692, 272, 269, 5442, 290, 476, 12208, 9978, 18065, 5811, 10432, 476, 279, 25846, 27989, 692, 273, 269, 25846, 27989, 3040, 634, 3210, 540, 25846, 11387, 666, 581, 19040, 883, 1079, 2694, 281, 3040, 3690, 1304, 15863, 3040, 1280, 1027, 15863, 3040, 3690, 1304, 3210, 2501, 689, 519, 6422, 540, 681, 267, 290, 269, 3040, 1280, 1027, 3210, 2501, 689, 519, 6453, 2707, 780, 274, 269, 11905, 6363, 872, 25846, 27989, 7167, 659, 3218, 814, 930, 1648, 6740, 865, 602, 634, 3355, 6453, 693, 512, 284, 271, 568, 966, 271, 19461, 2783, 4855, 1775, 6025, 264, 689, 681, 267, 595, 692, 275, 269, 14424, 609, 519, 3070, 540, 681, 299, 11387, 269, 634, 3070, 540, 25846, 11387, 666, 581, 5833, 609, 519, 1482, 1505, 269, 11905, 6954, 25846, 11905, 6954, 681, 299, 692, 276, 269, 642, 6025, 264, 966, 271, 512, 1775, 6025, 264, 966, 271, 24250, 610, 512, 692, 277, 269, 5384, 19693, 634, 1587, 25846, 568, 942, 3586, 585, 25846, 11387, 5149, 281, 2034, 692, 278, 269, 1280, 1027, 25846, 27989, 595, 814, 606, 3355, 6453, 540, 476, 271, 689, 2422, 918, 309, 299, 267, 649, 3893, 692, 279, 269, 3245, 7756, 5573, 1312, 5011, 16534, 1101, 19195, 11186, 3830, 7316, 594, 271, 568, 519, 3355, 1699, 540, 519, 5547, 692, 280, 269, 7849, 15863, 10414, 15863, 595, 814, 606, 3355, 6453, 815, 476, 271, 267, 1809, 689, 918, 309, 299, 267, 4061, 25467, 1924, 10484, 1015, 269, 642, 290, 6025, 264, 1775, 6025, 264, 966, 24250, 966, 512, 512, 642, 305, 6025, 264, 8074, 281, 7167, 659, 3218, 779, 6453, 3112, 23589, 569, 1689, 966, 512, 692, 1556, 269, 1215, 547, 16534, 10819, 286, 630, 13612, 264, 3040, 3399, 676, 4466, 519, 6453, 540, 519, 19218, 1101, 3040, 27539, 519, 3210, 602, 649, 1616, 547, 1265, 568, 538, 1106, 540, 3040, 4855, 519, 942, 3586, 26018, 630, 16673, 946, 634, 1597, 514, 779, 264, 3040, 16534, 585, 737, 272, 267, 737, 273, 1210, 3355, 2175, 543, 3040, 4567, 693, 519, 7123, 1448, 3040, 3245, 519, 6453, 267, 1265, 824, 2418, 602, 519, 1966, 2307, 3040, 1210, 918, 12710, 267, 918, 309, 299, 692, 1321, 269, 7151, 22732, 1930, 585, 513, 1279, 942, 1354, 512, 284, 271, 267, 1265, 543, 17250, 1775, 6025, 264, 3689, 267, 649, 1376, 676, 4466, 642, 322, 6025, 264, 634, 3355, 2783, 540, 595, 568, 642, 322, 263, 271, 264, 815, 476, 272, 309, 634, 7123, 2783, 1993, 595, 568, 642, 322, 263, 31236, 264, 815, 476, 274, 309, 692, 1724, 269, 27539, 642, 322, 6025, 264, 538, 1106, 540, 4855, 519, 942, 3586, 1310, 512, 284, 271, 676, 634, 1597, 514, 779, 267, 13156, 595, 607, 513, 4452, 4475, 267, 519, 942, 3586, 568, 692, 1691, 269, 4855, 737, 272, 267, 737, 273, 1210, 642, 322, 263, 271, 264, 815, 476, 272, 267, 642, 322, 263, 31236, 264, 815, 476, 274, 2311, 512, 284, 271, 267, 642, 322, 263, 271, 264, 815, 476, 272, 966, 2311, 512, 815, 3980, 508, 267, 642, 322, 263, 31236, 264, 815, 476, 274, 966, 4475, 267, 737, 272, 284, 274, 267, 737, 273, 815, 910, 273, 1284, 666, 1265, 1775, 6025, 264, 676, 1210, 7937, 332, 779, 1876, 593, 519, 19919, 692, 1428, 269, 1775, 6025, 264, 476, 275, 288, 476, 273, 288, 512, 692, 1626, 269, 7151, 634, 6467, 729, 8118, 585, 513, 1279, 942, 1354, 512, 284, 271, 267, 4855, 1775, 6025, 264, 3399, 609, 642, 322, 6025, 264, 634, 3355, 2783, 540, 595, 568, 642, 322, 263, 271, 264, 815, 476, 276, 309, 634, 3803, 7123, 2783, 1993, 595, 2501, 689, 6453, 3900, 518, 267, 799, 568, 642, 322, 263, 31236, 264, 815, 476, 276, 16732, 272, 270, 272, 266, 271, 269, 276, 264, 815, 476, 274, 269, 3451, 309, 692, 1704, 269, 27539, 642, 322, 6025, 264, 538, 1106, 540, 4855, 519, 942, 3586, 1310, 512, 284, 271, 676, 634, 1597, 514, 779, 267, 13156, 595, 607, 513, 4452, 4475, 267, 519, 942, 3586, 568, 692, 1240, 269, 4855, 737, 272, 267, 737, 273, 1210, 642, 322, 263, 271, 264, 815, 476, 276, 267, 642, 322, 263, 31236, 264, 815, 476, 274, 269, 3451, 2311, 512, 284, 271, 267, 642, 322, 263, 271, 264, 815, 476, 276, 966, 2311, 512, 815, 3980, 508, 267, 642, 322, 263, 31236, 264, 815, 476, 274, 269, 3451, 966, 4475, 267, 737, 272, 284, 274, 269, 3451, 267, 737, 273, 815, 476, 272, 269, 5780, 1284, 666, 1265, 1775, 6025, 264, 676, 1210, 7937, 332, 779, 1876, 593, 519, 19919, 692, 866, 269, 1775, 6025, 264, 476, 272, 269, 5780, 332, 288, 512, 642, 322, 6025, 264, 476, 276, 309, 476, 274, 269, 3451, 309, 512, 0, 258, 7089, 540, 10222, 9201, 602, 666, 581, 4646, 2016, 513, 1305, 540, 3515, 538, 28070, 1773, 2033, 692, 11693, 513, 1305, 700, 815, 2715, 331, 272, 267, 561, 273, 267, 2560, 8796, 267, 23692, 348, 540, 2048, 333, 685, 3982, 3515, 593, 519, 28070, 1773, 2033, 269, 634, 476, 603, 1899, 568, 2016, 676, 606, 3830, 538, 519, 1106, 513, 1460, 1341, 1979, 344, 815, 524, 328, 269, 4855, 519, 1297, 540, 12730, 602, 666, 581, 4646, 1210, 519, 3515, 538, 519, 1305, 700, 269, 8074, 602, 1100, 1079, 8424, 540, 3515, 12969, 693, 519, 1482, 1448, 780, 9616, 281, 901, 1966, 3085, 1406, 2446, 602, 519, 3515, 666, 1406, 581, 6252, 799, 2306, 519, 1966, 2352, 547, 4194, 780, 14300, 1384, 3499, 19152, 281, 513, 26514, 815, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 8679, 321, 26514, 815, 2715, 273, 267, 476, 275, 267, 476, 276, 267, 476, 276, 8679, 322, 26514, 815, 2715, 276, 267, 476, 278, 267, 476, 279, 267, 476, 277, 8679, 20479, 281, 476, 273, 454, 763, 1297, 540, 12730, 602, 666, 581, 4646, 616, 281, 476, 273, 692, 19152, 281, 513, 26514, 815, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 273, 267, 476, 275, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 8679, 321, 26514, 815, 2715, 273, 267, 476, 275, 267, 476, 277, 267, 476, 274, 267, 476, 277, 267, 476, 276, 267, 476, 1015, 267, 476, 1428, 267, 476, 736, 267, 476, 1839, 8679, 322, 26514, 815, 2715, 274, 267, 476, 276, 267, 476, 1556, 267, 476, 1015, 267, 476, 280, 267, 476, 1704, 267, 476, 1724, 267, 476, 1556, 267, 476, 278, 267, 476, 274, 8679, 20479, 281, 476, 1789, 454, 763, 1297, 540, 12730, 602, 666, 581, 4646, 616, 281, 476, 1789, 454, 7884, 2162, 10878, 633, 23990, 692, 763, 14255, 633, 5690, 666, 581, 4330, 607, 1384, 272, 269, 17292, 909, 476, 274, 17062, 3515, 689, 519, 1305, 700, 563, 273, 269, 3767, 2638, 952, 513, 6906, 666, 581, 4646, 1210, 519, 5697, 476, 274, 3515, 269, 901, 666, 581, 2944, 3362, 676, 10992, 602, 9039, 540, 873, 568, 6292, 3772, 6252, 563, 274, 269, 9214, 618, 519, 4831, 952, 519, 6906, 666, 581, 4646, 780, 11742, 29203, 281, 1703, 616, 562, 290, 274, 17784, 1206, 540, 3515, 269, 1280, 1142, 17784, 339, 267, 649, 723, 547, 798, 476, 274, 16198, 547, 2638, 602, 1022, 476, 273, 3515, 616, 711, 6252, 799, 1797, 519, 2638, 666, 581, 2944, 538, 744, 263, 272, 264, 942, 269, 901, 2306, 519, 14255, 633, 5690, 744, 3799, 274, 6393, 2162, 31478, 23990, 692, 1607, 666, 849, 581, 6913, 538, 744, 3799, 2845, 562, 1040, 634, 7954, 3297, 519, 3608, 5690, 568, 4330, 2630, 780, 2171, 7941, 519, 1305, 700, 538, 1585, 29162, 269, 634, 5250, 540, 29162, 568, 1759, 593, 19527, 1775, 4318, 269, 782, 519, 3515, 538, 513, 1880, 15410, 723, 519, 1482, 9386, 1775, 4318, 269, 789, 616, 6252, 547, 1142, 824, 780, 4131, 721, 2015, 1614, 5036, 630, 25669, 589, 267, 645, 543, 595, 1040, 1280, 513, 1880, 1305, 630, 25669, 589, 264, 519, 3515, 10362, 547, 713, 616, 782, 6252, 547, 1142, 824, 269, 1403, 649, 723, 589, 267, 645, 543, 595, 267, 649, 666, 4584, 835, 1899, 689, 1142, 1305, 547, 1205, 513, 6906 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 20103, 476, 1626, 267, 568, 519, 14412, 4303, 540, 634, 6243, 540, 27782, 16330, 267, 1310, 519, 24590, 540, 8168, 31012, 6243, 540, 6576, 267, 519, 6243, 540, 27782, 16330, 729, 519, 2063, 6239, 7489, 13474, 945, 10294, 7115, 563, 1607, 2197, 540, 476, 736, 2929, 2551, 543, 4102, 6239, 7489, 2197, 267, 568, 849, 519, 1158, 779, 4102, 2244, 19526, 2197, 269, 5565, 22800, 2706, 7060, 6576, 543, 3624, 616, 1200, 12543, 267, 519, 1034, 2189, 13664, 1249, 267, 602, 1118, 1200, 3982, 689, 1200, 15231, 6239, 7489, 18831, 267, 29069, 1731, 6017, 267, 772, 345, 31990, 6017, 543, 918, 10455, 4445, 345, 16330, 568, 602, 621, 568, 13883, 538, 519, 8998, 540, 20195, 22057, 2552, 5799, 267, 827, 476, 1428, 260, 1858, 540, 713, 1158, 779, 476, 280, 628, 4102, 2197, 568, 538, 8109, 2342, 543, 519, 1964, 540, 476, 5952, 260, 568, 538, 5607, 269, 634, 5458, 1858, 540, 27782, 16330, 568, 6697, 547, 602, 540, 5375, 2342, 269, 634, 824, 3364, 602, 2306, 621, 2189, 568, 519, 4763, 540, 621, 779, 2551, 267, 972, 616, 811, 982, 476, 1911, 1114, 3909, 267, 6803, 267, 10409, 9163, 616, 519, 11317, 540, 713, 1390, 2197, 269, 634, 5354, 540, 519, 1004, 616, 12356, 267, 10271, 616, 519, 2034, 5354, 269, 1703, 616, 865, 1082, 2950, 899, 6739, 267, 16586, 267, 4457, 941, 28953, 1934, 896, 1114, 6381, 538, 1114, 3045, 1023, 540, 1686, 269, 634, 28592, 616, 519, 2034, 4102, 2146, 267, 827, 476, 4375, 260, 540, 519, 2698, 2551, 267, 6140, 561, 643, 1456, 2059, 519, 536, 867, 1359, 1858, 609, 6576, 563, 1607, 2197, 540, 519, 6239, 5607, 814, 1082, 4778, 540, 11585, 267, 1804, 3039, 23617, 267, 24301, 267, 10239, 267, 12647, 543, 8933, 616, 3982, 269, 634, 9930, 19631, 5169, 20673, 6545, 616, 12703, 543, 21705, 547, 741, 2197, 267, 741, 32742, 568, 519, 2707, 540, 4222, 267, 9322, 543, 5191, 2484, 27782, 16330, 563, 16352, 1390, 1761, 538, 2067, 2200, 543, 4346, 267, 713, 2197, 2141, 2611, 323, 10694, 585, 6067, 9037, 15752, 540, 519, 17740, 3320, 2178, 6082, 269, 634, 10373, 3282, 267, 3154, 267, 20879, 543, 824, 14427, 543, 10475, 8407, 616, 2707, 540, 621, 779, 13777, 22618, 2804, 632, 767, 30291, 585, 2201, 519, 1166, 2354, 728, 891, 849, 991, 1360, 2178, 3106, 13104, 267, 2178, 8878, 267, 543, 1360, 18762, 4914, 3609, 269, 901, 991, 568, 2907, 5433, 676, 519, 5718, 540, 27782, 16330, 267, 789, 20617, 1500, 1360, 7059, 4914, 3609, 267, 602, 568, 7874, 609, 782, 519, 15231, 543, 3486, 6082, 269, 634, 6554, 540, 27782, 16330, 814, 5129, 513, 14393, 31397, 1909, 547, 1491, 1101, 1900, 547, 1118, 1158, 1875, 6046, 676, 21006, 782, 519, 6046, 9604, 543, 741, 4152, 4609, 540, 8168, 5736, 269, 901, 2982, 602, 27782, 16330, 15055, 4708, 711, 2112, 1851, 519, 6082, 540, 519, 1158, 563, 26170, 519, 5718, 540, 27782, 16330, 568, 3257, 5386, 538, 3084, 543, 3486, 12602, 269, 3143, 2197, 666, 3356, 543, 21707, 1510, 1134, 7059, 4914, 3609, 543, 4058, 547, 3895, 4123, 543, 25642, 563, 763, 27782, 16330, 779, 6554, 568, 3257, 1200, 1655, 547, 21707, 1870, 543, 1210, 2067, 2200, 585, 519, 4835, 1646, 543, 5007, 4123, 269, 18378, 4708, 543, 9322, 568, 519, 2178, 14049, 547, 14710, 519, 5007, 6937, 269, 634, 1004, 540, 27782, 16330, 616, 1360, 6213, 3823, 741, 5191, 543, 2648, 609, 741, 3993, 2244, 269, 634, 6554, 568, 20617, 1210, 713, 1990, 7002, 540, 519, 1004, 538, 4182, 2679, 269, 1879, 649, 5659, 519, 4507, 540, 5518, 918, 817, 2096, 808, 558, 691, 15480, 599, 5271, 267, 649, 1294, 646, 568, 4881, 2509, 1732, 618, 538, 782, 4610, 267, 1010, 4914, 3609, 568, 1759, 593, 1434, 2078, 609, 6237, 543, 3486, 7060, 543, 6082, 269, 29046, 538, 4123, 267, 1870, 267, 2825, 2152, 693, 519, 8468, 779, 540, 772, 12991, 1421, 3864, 5742, 267, 1744, 532, 1695, 328, 10554, 267, 6789, 292, 3198, 3092, 269, 568, 519, 1292, 10862, 540, 519, 6554, 563, 763, 5518, 15480, 599, 5271, 568, 9020, 16484, 1818, 543, 7598, 4507, 547, 22010, 519, 1272, 3044, 540, 1010, 1004, 267, 1010, 1544, 547, 1683, 873, 8075, 267, 1072, 6703, 676, 1818, 1007, 10506, 267, 2810, 2069, 5238, 267, 1434, 3268, 547, 3986, 538, 533, 5014, 540, 2025, 1004, 543, 12417, 547, 1683, 6009, 547, 2816, 1652, 4961, 269, 634, 6554, 540, 519, 5518, 15480, 599, 5271, 568, 849, 1818, 519, 5989, 540, 519, 2197, 2687, 547, 519, 2413, 2115, 267, 9897, 267, 571, 559, 1811, 543, 1797, 540, 2011, 2951, 616, 1373, 1500, 2687, 547, 3486, 4441, 269, 11572, 556, 4146, 568, 3246, 1169, 12504, 547, 1491, 851, 538, 519, 12602, 540, 519, 2197, 563, 763, 1533, 568, 3246, 1169, 12504, 519, 8458, 540, 1582, 1646, 267, 5191, 540, 4082, 543, 3160, 1480, 2924, 269, 14168, 543, 3432, 344, 5126, 568, 519, 1271, 851, 540, 519, 556, 4146, 1982, 540, 519, 6554, 269, 634, 1533, 568, 3843, 1200, 1655, 547, 3597, 719, 519, 13313, 689, 519, 2486, 269, 634, 2804, 15024, 616, 5189, 267, 799, 5863, 569, 8519, 519, 6578, 17211, 543, 10710, 3946, 727, 2179, 585, 1857, 1646, 3292, 563, 763, 5092, 1759, 4507, 616, 10694, 585, 1870, 1362, 543, 4914, 5092, 269, 12525, 15024, 616, 8716, 1870, 543, 2810, 519, 1102, 869, 540, 2724, 538, 1533, 2300, 515, 20960, 269, 634, 1793, 25830, 540, 968, 1805, 3994, 6355, 267, 16200, 3557, 892, 786, 15983, 1118, 27782, 16330, 779, 2832, 547, 3035, 519, 3853, 540, 9591, 1007, 6080, 1519, 5985, 267, 19180, 267, 2230, 2029, 267, 17562, 543, 4244, 1648, 609, 538, 1985, 1906, 1296, 269, 1284, 4126, 513, 6505, 2104, 568, 7996, 585, 519, 1004, 540, 27782, 16330, 267, 8797, 543, 1134, 2219, 4507, 2141, 1404, 513, 11358, 1909, 538, 519, 1646, 543, 13884, 540, 519, 6082, 269, 0, 6624, 2093, 827, 476, 2641, 560, 2540, 1565, 543, 519, 2956, 540, 1818, 873, 2139, 547, 782, 1053, 616, 2629, 269, 2353, 3237, 1616, 519, 1655, 3255, 585, 741, 3214, 1107, 2069, 602, 568, 4143, 267, 3946, 6823, 267, 543, 786, 1305, 1053, 909, 585, 1967, 3564, 1153, 269, 1717, 267, 519, 5168, 568, 1107, 519, 11450, 540, 519, 3237, 543, 519, 1153, 568, 606, 1271, 1883, 547, 3384, 543, 5885, 476, 2641, 560, 2540, 1983, 563, 307, 304, 288, 11099, 602, 476, 2641, 560, 2540, 1983, 2874, 540, 1543, 1702, 267, 2148, 9313, 543, 1527, 545, 13853, 267, 543, 1915, 7907, 602, 5965, 1053, 547, 2743, 519, 2591, 543, 6381, 540, 2221, 779, 1158, 563, 763, 2127, 540, 1646, 2066, 519, 1153, 779, 4081, 1982, 616, 5698, 543, 16542, 267, 5876, 543, 9345, 267, 2565, 3206, 267, 543, 1966, 6061, 269, 1452, 2127, 3382, 281, 8112, 543, 13916, 267, 2518, 543, 2686, 4656, 267, 1344, 7924, 267, 5718, 267, 18523, 7924, 543, 15114, 267, 5711, 543, 2854, 2792, 1983, 267, 1514, 5539, 543, 7881, 267, 2029, 7924, 267, 543, 11036, 269, 0, 763, 14861, 710, 623, 525, 334, 630, 12678, 264, 568, 519, 4013, 9304, 540, 18335, 267, 7307, 543, 9783, 676, 519, 2197, 781, 3844, 4871, 267, 519, 6239, 7813, 540, 18335, 630, 289, 534, 1723, 6239, 632, 3288, 3115, 14243, 321, 997, 320, 18335, 267, 610, 7460, 6938, 1040, 634, 3090, 585, 519, 14861, 710, 623, 525, 334, 568, 834, 259, 2580, 543, 621, 568, 1016, 323, 22866, 883, 476, 1911, 4130, 4559, 1572, 1298, 822, 657, 269, 1717, 267, 1813, 547, 1164, 10637, 267, 1298, 822, 334, 11113, 616, 10355, 1031, 538, 3232, 8852, 563, 6635, 7217, 2088, 814, 4810, 1896, 2804, 16839, 543, 1164, 10637, 3928, 538, 2487, 5756, 267, 799, 723, 12936, 519, 1871, 540, 519, 14861, 710, 623, 525, 334, 269, 769, 3210, 547, 891, 2591, 267, 519, 2197, 814, 22734, 2789, 9304, 15024, 543, 8045, 1585, 5385, 2557, 20816, 563, 763, 6239, 7813, 540, 18335, 568, 3743, 585, 5883, 519, 6617, 540, 519, 14861, 710, 623, 525, 334, 267, 799, 3322, 9013, 10637, 267, 7598, 13075, 3609, 267, 543, 4509, 519, 9304, 781, 5385, 2557, 269, 634, 3844, 4871, 949, 26544, 538, 519, 4914, 5385, 2344, 547, 2061, 7050, 15088, 538, 519, 1871, 540, 519, 623, 525, 334, 602, 1223, 28148, 1764, 519, 14861, 710, 4346, 563, 763, 14861, 710, 623, 525, 334, 568, 4299, 676, 1585, 2188, 267, 1519, 2804, 10832, 267, 1719, 3928, 267, 543, 23786, 2621, 267, 799, 666, 3310, 922, 5385, 2557, 1996, 824, 19728, 269, 1306, 606, 20090, 610, 911, 1457, 267, 621, 568, 1898, 547, 6895, 891, 2188, 543, 2015, 519, 1761, 4220, 2404, 609, 9304, 15088, 950, 1818, 5092, 3664, 5473, 519, 14861, 710, 623, 525, 334, 563, 2005, 568, 4502, 15663, 602, 267, 1813, 547, 519, 1164, 10637, 2557, 543, 2804, 16132, 538, 18335, 267, 519, 14861, 710, 623, 525, 334, 949, 711, 581, 606, 10694, 9304, 585, 1279, 3856, 9541, 269, 7767, 832, 1058, 5402, 6218, 519, 4220, 543, 1761, 12587, 2404, 609, 10115, 538, 18335, 781, 9304, 610, 824, 2883, 7221, 21000, 3990, 538, 14861, 710, 623, 525, 657, 269, 0, 2304, 6196, 13648, 773, 4964, 568, 513, 10051, 1907, 1031, 547, 1118, 7833, 12897, 610, 824, 19323, 5370, 269, 898, 5161, 540, 513, 12718, 609, 513, 32168, 518, 593, 835, 1439, 543, 20049, 762, 28283, 609, 1114, 5546, 593, 519, 824, 1439, 563, 2414, 946, 606, 6196, 13648, 773, 4964, 267, 6445, 519, 12718, 609, 14859, 267, 8936, 519, 5551, 12210, 593, 519, 1439, 267, 543, 2046, 519, 32168, 518, 547, 5305, 519, 14859, 5196, 513, 11256, 6656, 269, 19244, 2394, 782, 14859, 814, 1044, 1031, 563, 8133, 267, 606, 6196, 13648, 773, 4964, 666, 849, 581, 1031, 585, 1818, 669, 584, 4592, 267, 10381, 2269, 9749, 267, 543, 1256, 11792, 1117, 12277, 269, 3807, 1118, 2386, 519, 14859, 568, 2571, 2614, 547, 581, 20399, 998, 519, 28283, 563, 6524, 7738, 267, 1118, 2386, 547, 4894, 782, 14859, 689, 519, 12718, 543, 28283, 269, 3973, 267, 771, 553, 14517, 519, 2046, 543, 11547, 782, 2694, 609, 3636, 12853, 344, 1216, 269, 16959, 8499, 1354, 556, 553, 5145, 1782, 610, 13936, 563, 2304, 6196, 13648, 773, 4964, 2636, 585, 9985, 8032, 543, 21092, 12897, 267, 23352, 519, 991, 585, 12902, 543, 5969, 14859, 267, 543, 568, 2653, 547, 946, 543, 2973, 269, 898, 849, 3091, 17545, 538, 2870, 1114, 5546, 543, 6272, 585, 19323, 5370, 269, 0, 13981, 568, 513, 6024, 1184, 585, 1169, 835, 540, 721, 267, 4358, 609, 938, 1920, 269, 1306, 789, 2161, 267, 3237, 616, 938, 1101, 3610, 269, 634, 23626, 568, 1287, 5645, 4464, 676, 938, 3610, 267, 945, 1404, 513, 11358, 1909, 538, 5935, 1762, 8186, 543, 8600, 519, 1985, 5108, 540, 3401, 543, 4623, 6203, 563, 2467, 616, 1007, 2035, 540, 3450, 543, 1565, 5186, 6137, 909, 1169, 824, 1554, 269, 30451, 616, 7683, 8391, 10372, 547, 6338, 1007, 2081, 540, 28720, 3450, 267, 4879, 543, 1565, 563, 763, 3741, 540, 1565, 543, 3450, 616, 954, 15062, 539, 547, 519, 1198, 602, 267, 538, 1931, 547, 18836, 1702, 22924, 568, 2629, 547, 581, 1134, 268, 951, 539, 538, 519, 1148, 543, 2257, 540, 3450, 602, 2337, 835, 1451, 1945, 269, 9752, 543, 1565, 1106, 519, 2267, 343, 540, 519, 3872, 1062, 269, 634, 6662, 540, 2069, 568, 547, 948, 513, 2875, 1020, 1983, 543, 2623, 5036, 2877, 547, 8853, 538, 513, 3728, 19550, 267, 3810, 8013, 1158, 563, 1103, 513, 3501, 1158, 267, 649, 782, 1451, 1945, 1007, 1169, 1554, 269, 2755, 649, 1294, 6101, 2069, 607, 513, 13766, 547, 1565, 267, 972, 786, 2141, 581, 1585, 2081, 547, 1451, 269, 9752, 568, 1175, 513, 811, 6101, 1935, 547, 23142, 1702, 267, 609, 1565, 607, 519, 1439, 1267, 563, 1103, 713, 2022, 267, 649, 786, 1205, 938, 5013, 1318, 827, 1018, 568, 3450, 543, 1565, 267, 1491, 513, 1413, 693, 875, 741, 4632, 616, 954, 15062, 539, 267, 543, 1174, 519, 1883, 3604, 602, 1305, 891, 1079, 2035, 6306, 563, 1432, 568, 1565, 888, 1103, 2241, 1913, 267, 1565, 568, 519, 1184, 540, 16565, 1702, 610, 1983, 998, 1353, 267, 676, 1373, 6026, 267, 610, 689, 1995, 269, 1284, 1451, 2429, 938, 2729, 2436, 649, 8275, 621, 610, 711, 269, 3245, 1565, 547, 3802, 267, 2911, 267, 543, 2170, 609, 2828, 267, 547, 1565, 513, 1007, 1893, 267, 513, 5578, 267, 606, 6293, 267, 610, 7393, 938, 7207, 689, 2250, 2833, 9789, 516, 568, 606, 4316, 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 ]
[ 0, 306, 9321, 1127, 807, 568, 606, 3381, 3642, 11718, 602, 3096, 5841, 4987, 543, 3684, 1565, 547, 1711, 10853, 7044, 540, 1004, 6158, 610, 13465, 543, 824, 4247, 269, 634, 2029, 602, 568, 3297, 16522, 1127, 807, 2636, 585, 1483, 6066, 9067, 1606, 2106, 1424, 543, 11132, 5322, 547, 581, 3812, 538, 1483, 6066, 1256, 952, 519, 1268, 17729, 538, 519, 3381, 4769, 1406, 2965, 2594, 519, 3381, 269, 769, 713, 1957, 649, 786, 4983, 875, 16522, 1127, 807, 1568, 267, 519, 2640, 540, 3381, 3642, 18402, 899, 16522, 1127, 807, 543, 519, 1761, 3096, 585, 713, 2029, 563, 297, 324, 715, 685, 2967, 17131, 9197, 19902, 5487, 966, 573, 2946, 657, 454, 1692, 16522, 1127, 807, 13333, 912, 306, 9321, 1127, 807, 3096, 2620, 1565, 2553, 547, 20272, 519, 8301, 540, 513, 1268, 779, 5639, 269, 3973, 267, 621, 13754, 3278, 10853, 11132, 5322, 543, 9067, 5348, 322, 547, 1118, 873, 3280, 899, 519, 8301, 269, 634, 1184, 5956, 676, 10916, 519, 8301, 540, 519, 1268, 945, 568, 6340, 610, 13465, 269, 901, 8301, 3950, 568, 1287, 9916, 1210, 3684, 1565, 6620, 547, 3713, 519, 4992, 543, 13093, 655, 525, 602, 616, 538, 519, 9275, 269, 4495, 519, 13093, 655, 525, 723, 1044, 4362, 267, 519, 1062, 3096, 513, 8849, 3060, 547, 5352, 606, 5044, 540, 11132, 5322, 602, 5330, 547, 519, 8301, 563, 763, 8849, 3060, 16522, 1127, 807, 18252, 568, 513, 1106, 540, 2620, 19543, 5690, 5827, 540, 1565, 6946, 3270, 540, 1239, 269, 898, 568, 7768, 540, 2789, 6106, 540, 5841, 11409, 602, 1184, 3403, 1239, 543, 5352, 3977, 269, 769, 519, 2013, 540, 16522, 1127, 807, 267, 519, 3403, 1239, 2882, 519, 3280, 3950, 267, 607, 1134, 607, 519, 1267, 568, 513, 3126, 540, 11132, 5322, 563, 2414, 3132, 11132, 7215, 634, 8849, 3060, 8036, 1210, 513, 5458, 4015, 540, 7044, 540, 1004, 6158, 610, 13465, 269, 634, 1062, 568, 6026, 547, 1174, 519, 4296, 1063, 519, 13093, 655, 525, 602, 616, 538, 519, 4633, 543, 519, 11132, 5322, 2404, 609, 1346, 4992, 269, 901, 1505, 540, 2866, 568, 5219, 547, 607, 24892, 1565, 269, 519, 1062, 568, 10480, 5458, 5666, 540, 13042, 1239, 543, 3096, 602, 1239, 547, 3605, 875, 547, 5352, 519, 3977, 563, 5629, 519, 8849, 3060, 568, 8036, 267, 621, 666, 5352, 1483, 3734, 11132, 7215, 543, 17534, 15222, 1436, 538, 1483, 6066, 269, 15937, 3381, 568, 1500, 676, 9256, 519, 11132, 5322, 609, 513, 840, 29627, 867, 539, 610, 6383, 4282, 563, 19119, 540, 3381, 3642, 18402, 899, 16522, 1127, 807, 454, 2467, 616, 1082, 5383, 950, 1210, 3381, 3642, 18402, 267, 971, 607, 16522, 1127, 807, 912, 2005, 17990, 942, 543, 2724, 281, 11473, 3642, 18402, 666, 948, 4688, 519, 942, 607, 1134, 607, 2724, 676, 4227, 519, 991, 585, 2661, 11051, 610, 22407, 269, 2060, 16522, 1127, 807, 7044, 666, 581, 3812, 3533, 543, 7561, 267, 1510, 519, 991, 585, 7199, 3937, 610, 513, 2504, 2319, 563, 20578, 1436, 11473, 3642, 18402, 616, 2111, 547, 581, 16419, 547, 9290, 1808, 4170, 269, 2060, 16522, 1127, 807, 267, 3381, 24056, 666, 581, 3812, 609, 1585, 10080, 267, 8654, 267, 543, 8254, 7285, 547, 3132, 513, 2189, 1413, 543, 1745, 563, 8256, 29548, 11473, 3642, 18402, 616, 2111, 547, 2709, 513, 5812, 2511, 543, 1745, 2066, 2789, 7044, 269, 2060, 16522, 1127, 807, 267, 7044, 666, 581, 3812, 1210, 9838, 11132, 543, 5639, 7215, 267, 3246, 513, 5812, 1995, 585, 13588, 563, 306, 5632, 1464, 11473, 3642, 18402, 666, 581, 26987, 909, 610, 1524, 4470, 593, 519, 2115, 540, 3755, 269, 2060, 16522, 1127, 807, 7044, 267, 789, 666, 581, 6383, 538, 1804, 5666, 267, 1818, 621, 2653, 547, 1118, 2789, 7648, 540, 519, 3169, 3381, 585, 1114, 13588, 563, 32101, 602, 1118, 946, 540, 3381, 3642, 18402, 899, 16522, 1127, 807, 912, 2467, 616, 513, 3099, 540, 2009, 3156, 602, 1118, 946, 540, 3381, 3642, 18402, 899, 16522, 1127, 807, 912, 3849, 3200, 2358, 543, 6725, 281, 11473, 3642, 18402, 666, 581, 8246, 547, 1118, 2123, 2213, 3381, 6835, 585, 10229, 543, 6725, 269, 2060, 16522, 1127, 807, 779, 948, 267, 4213, 666, 1118, 7044, 602, 4183, 606, 1367, 22557, 17367, 610, 6216, 779, 11347, 267, 1510, 519, 991, 547, 16926, 2661, 11051, 563, 324, 13981, 543, 2866, 281, 11473, 3642, 18402, 666, 581, 8246, 547, 1711, 3872, 543, 2866, 7044, 269, 2060, 16522, 1127, 807, 267, 14292, 3381, 666, 581, 3812, 1210, 10853, 27515, 267, 1818, 621, 1454, 4443, 585, 1053, 547, 9787, 7294, 2035, 563, 11767, 24287, 717, 5446, 281, 11473, 3642, 18402, 949, 948, 1711, 10853, 1285, 520, 1513, 602, 616, 5078, 585, 3756, 543, 5691, 4641, 2833, 269, 2060, 16522, 1127, 807, 267, 3014, 9367, 666, 1711, 10853, 3197, 945, 3717, 543, 1847, 1175, 899, 1483, 1004, 563, 20578, 518, 3028, 11473, 3642, 18402, 666, 581, 1031, 547, 1118, 2688, 3381, 6835, 547, 1683, 6075, 3028, 269, 2060, 16522, 1127, 807, 267, 6075, 3028, 13222, 666, 1118, 3381, 6835, 602, 1445, 593, 1808, 4145, 610, 2055, 267, 3246, 519, 6075, 609, 513, 811, 2123, 1995, 269, 519, 6075, 563, 16966, 2225, 10333, 281, 11473, 3642, 18402, 616, 2111, 547, 1711, 7044, 1210, 4191, 610, 824, 2010, 540, 3308, 2792, 267, 1818, 873, 3015, 547, 1346, 609, 6217, 610, 4633, 23043, 269, 2060, 16522, 1127, 807, 7044, 267, 789, 666, 581, 2813, 609, 10853, 19347, 4191, 543, 1118, 621, 4443, 585, 1346, 609, 6217, 9124, 547, 1174, 519, 1543, 563, 21918, 14591, 540, 3381, 14464, 11106, 18402, 971, 607, 16522, 1127, 807, 912, 8601, 519, 1082, 2640, 689, 3381, 3642, 18402, 899, 16522, 1127, 807, 1703, 616, 513, 1906, 7687, 609, 713, 2029, 269, 2290, 3390, 568, 519, 9000, 540, 3929, 4082, 538, 519, 2813, 7044, 269, 4014, 16522, 1127, 807, 666, 5352, 10853, 11132, 5322, 543, 9067, 5348, 1424, 267, 621, 3112, 7001, 519, 16082, 540, 3929, 4082, 602, 513, 2661, 17076, 610, 1685, 518, 27711, 563, 5194, 20159, 568, 519, 1761, 585, 21568, 610, 3765, 10517, 19948, 540, 519, 2029, 269, 1306, 609, 782, 4066, 267, 972, 568, 513, 1981, 602, 3381, 3642, 18402, 899, 16522, 1127, 807, 1223, 581, 1031, 547, 3132, 7301, 610, 25619, 1543, 269, 901, 1223, 723, 3978, 6286, 585, 4610, 899, 19761, 610, 6214, 563, 306, 9321, 1127, 807, 568, 606, 1383, 540, 519, 1761, 585, 3381, 3642, 18402, 602, 1223, 2981, 519, 1259, 649, 1711, 543, 8532, 3381, 1543, 269, 1635, 1210, 3684, 1565, 543, 5841, 4987, 547, 3132, 10853, 7044, 16522, 1127, 807, 1223, 581, 2111, 547, 2569, 942, 543, 2724, 267, 1683, 519, 2702, 547, 4336, 543, 11007, 267, 543, 1711, 1007, 7399, 585, 10531, 543, 3015, 3381, 1543, 269, 1809, 267, 899, 1022, 2029, 267, 621, 568, 1271, 547, 917, 519, 1761, 7687, 543, 4220, 602, 2097, 547, 3381, 3642, 18402, 269, 1306, 519, 2029, 5170, 547, 4434, 267, 621, 568, 1271, 547, 5402, 2015, 519, 1514, 543, 5683, 4539, 540, 922, 946, 563, 297, 324, 715, 685, 2967, 17131, 9197, 19902, 5487, 966, 573, 2946, 657, 0, 306, 9321, 1127, 807, 568, 513, 3381, 5841, 4987, 11718, 799, 2306, 946, 540, 5841, 4987, 543, 3684, 1565, 547, 1711, 10853, 7044, 540, 1004, 6340, 610, 13465, 543, 824, 3527, 269, 634, 2029, 3297, 16522, 1127, 807, 2636, 585, 1483, 6066, 11132, 5322, 543, 9067, 5348, 1424, 547, 581, 2813, 538, 1483, 6066, 1256, 952, 519, 1268, 945, 5526, 538, 519, 3381, 1705, 711, 2965, 2594, 519, 3381, 269, 769, 713, 1867, 649, 786, 1413, 693, 875, 16522, 1127, 807, 3252, 543, 519, 5383, 689, 3381, 3642, 18402, 971, 607, 16522, 1127, 807, 267, 543, 519, 1761, 3156, 585, 713, 2029, 563, 306, 9321, 1127, 807, 25966, 8871, 334, 454, 1692, 16522, 1127, 807, 13333, 912, 306, 9321, 1127, 807, 18252, 2620, 1565, 2409, 547, 5659, 8301, 19827, 540, 606, 1367, 779, 5639, 269, 3973, 267, 621, 13754, 3278, 10853, 11132, 5322, 543, 9067, 5348, 1424, 547, 1118, 873, 3280, 899, 519, 8301, 269, 634, 1184, 6238, 676, 10916, 519, 8301, 540, 519, 1268, 6340, 610, 13465, 269, 901, 8301, 3950, 568, 1287, 9268, 609, 3684, 1565, 6620, 538, 1931, 547, 3313, 519, 4992, 543, 13093, 655, 525, 538, 519, 9275, 269, 4495, 519, 13093, 655, 525, 723, 1044, 6444, 267, 519, 1062, 2306, 946, 540, 513, 8849, 3060, 5352, 606, 5044, 540, 5322, 538, 519, 3068, 602, 616, 538, 1899, 609, 519, 8301, 563, 763, 8849, 3060, 16522, 1127, 807, 18252, 568, 513, 1106, 540, 2620, 1565, 5690, 602, 666, 1451, 1950, 3270, 538, 1239, 269, 898, 568, 16922, 540, 1896, 6106, 540, 5841, 8849, 5121, 602, 1184, 519, 3403, 1239, 543, 1711, 3977, 269, 769, 519, 3236, 540, 16522, 1127, 807, 519, 3403, 1239, 2882, 519, 3280, 3950, 267, 607, 1134, 607, 519, 1267, 568, 513, 3126, 540, 11132, 5322, 563, 2414, 3132, 11132, 7215, 634, 8849, 3060, 8036, 593, 513, 1804, 10471, 540, 7044, 540, 1004, 6158, 610, 13465, 269, 634, 1062, 568, 1287, 8036, 547, 1451, 519, 3347, 1063, 519, 13093, 655, 525, 538, 519, 4633, 543, 519, 11132, 5322, 602, 616, 3335, 1644, 547, 1346, 4992, 269, 901, 2866, 1184, 568, 1634, 607, 24892, 1565, 269, 519, 1062, 568, 10480, 5458, 9424, 540, 1239, 602, 568, 13042, 543, 3096, 602, 1239, 547, 1451, 875, 547, 5352, 519, 3977, 563, 5629, 519, 8849, 3060, 814, 1044, 2919, 267, 621, 786, 581, 2111, 547, 1711, 10853, 11132, 5322, 543, 9067, 5348, 1424, 538, 1483, 6066, 269, 769, 519, 1439, 267, 519, 3381, 568, 3812, 676, 9256, 519, 6383, 11132, 5322, 609, 513, 6592, 610, 6383, 4282, 563, 19119, 540, 3381, 3642, 18402, 971, 607, 16522, 1127, 807, 912, 2467, 616, 1896, 2640, 540, 1818, 946, 540, 3381, 3642, 18402, 971, 607, 16522, 1127, 807, 912, 24965, 806, 942, 543, 2724, 11473, 3642, 18402, 666, 948, 4688, 942, 543, 2724, 676, 14874, 519, 991, 585, 2661, 22407, 610, 11051, 269, 2060, 16522, 1127, 807, 7044, 666, 581, 2813, 3533, 543, 7561, 267, 1510, 519, 10421, 540, 7199, 3937, 610, 2504, 1212, 9749, 563, 20578, 1436, 11473, 3642, 18402, 666, 581, 16419, 547, 2743, 707, 1808, 2115, 269, 2060, 16522, 1127, 807, 779, 948, 267, 7044, 666, 581, 1500, 609, 1114, 10080, 607, 1134, 607, 8654, 543, 8254, 7285, 547, 3132, 513, 2189, 1413, 543, 1745, 563, 8256, 29548, 281, 11473, 3642, 18402, 666, 2709, 513, 5812, 2511, 543, 1745, 2066, 513, 3099, 540, 7044, 269, 2060, 16522, 1127, 807, 267, 7044, 666, 581, 2813, 1210, 2147, 11132, 5322, 543, 9739, 267, 3246, 519, 1482, 1995, 547, 13588, 563, 306, 5632, 1464, 281, 11473, 3642, 18402, 666, 581, 26987, 909, 610, 1524, 4470, 593, 519, 2115, 602, 519, 1367, 3593, 269, 2060, 16522, 1127, 807, 267, 7044, 666, 581, 2813, 538, 1804, 9424, 799, 2306, 621, 2241, 547, 1711, 1114, 14726, 540, 519, 9838, 3381, 585, 1114, 13588, 563, 21104, 725, 540, 3381, 3642, 18402, 899, 16522, 1127, 807, 454, 2467, 616, 513, 3099, 540, 2009, 3156, 602, 1118, 946, 540, 3381, 3642, 18402, 971, 607, 16522, 1127, 807, 563, 3849, 3200, 2358, 543, 6725, 281, 11473, 3642, 18402, 616, 2111, 547, 1711, 2123, 2213, 3381, 6835, 585, 6725, 543, 10229, 269, 2060, 16522, 1127, 807, 267, 3549, 666, 1711, 7044, 10023, 606, 1367, 6216, 22557, 17367, 610, 22557, 17367, 1510, 519, 10421, 547, 16926, 2661, 11051, 563, 32086, 543, 552, 13981, 281, 27678, 3642, 18402, 666, 581, 1031, 547, 1118, 3872, 543, 2866, 7044, 269, 2060, 16522, 1127, 807, 267, 14292, 7044, 666, 581, 2813, 609, 3076, 601, 833, 27515, 267, 1818, 621, 1454, 4443, 585, 1053, 547, 9787, 2352, 2035, 563, 11767, 24287, 717, 5446, 281, 11473, 3642, 18402, 949, 946, 547, 1118, 10853, 1285, 520, 1513, 585, 946, 538, 5691, 4641, 543, 11080, 269, 2060, 16522, 1127, 807, 3014, 9367, 616, 2111, 547, 1711, 10853, 3197, 602, 2911, 543, 1847, 899, 1483, 1004, 563, 20578, 518, 3028, 281, 11473, 3642, 18402, 666, 581, 1031, 547, 5352, 16419, 3381, 6835, 585, 6075, 3028, 269, 2060, 16522, 1127, 807, 6075, 3028, 13222, 666, 3132, 3381, 6835, 602, 1445, 593, 1808, 6075, 14511, 610, 4145, 267, 5356, 513, 811, 10531, 1995, 585, 519, 6075, 563, 16966, 2225, 10333, 281, 11473, 3642, 18402, 666, 581, 1031, 547, 1711, 7044, 602, 6451, 1129, 1893, 2073, 610, 824, 2010, 540, 3308, 2792, 799, 2306, 873, 3015, 547, 1346, 609, 6217, 610, 4633, 9124, 269, 2060 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 7170, 281, 4197, 22694, 894, 268, 2750, 1815, 5737, 9534, 692, 1103, 1022, 2197, 267, 972, 616, 1079, 1292, 8371, 540, 2229, 602, 960, 1927, 547, 1711, 4031, 543, 1832, 519, 4182, 4881, 12347, 1107, 519, 15424, 7936, 543, 519, 10324, 7936, 269, 2913, 779, 2263, 875, 891, 1079, 2694, 540, 2229, 2170, 2439, 763, 15424, 7936, 568, 1500, 909, 540, 11221, 13222, 945, 2097, 1927, 547, 1106, 513, 6837, 610, 12057, 269, 4256, 3119, 2816, 568, 547, 2328, 12014, 267, 799, 616, 6069, 1007, 4031, 269, 4495, 789, 3858, 593, 519, 2262, 532, 540, 513, 3915, 267, 789, 8917, 593, 2436, 547, 1780, 621, 883, 1876, 269, 1403, 5293, 267, 713, 1007, 1876, 4422, 547, 519, 10324, 7936, 585, 6388, 780, 763, 10324, 7936, 5161, 540, 519, 2212, 540, 1533, 630, 3697, 513, 7022, 610, 16313, 1070, 741, 31548, 267, 543, 1585, 13623, 899, 2069, 267, 8878, 267, 543, 1072, 269, 901, 1895, 5849, 602, 4031, 616, 5645, 856, 9425, 543, 9846, 2066, 519, 3003, 2197, 269, 1879, 519, 15424, 7936, 10596, 513, 1007, 1876, 267, 621, 7575, 547, 519, 11380, 540, 519, 6205, 540, 519, 10324, 7936, 269, 1358, 666, 2901, 1129, 519, 3561, 267, 3850, 621, 547, 1831, 4013, 267, 610, 1654, 1729, 630, 516, 915, 264, 621, 952, 789, 3494, 621, 1131, 11874, 1764, 519, 4182, 269, 1717, 267, 952, 519, 15424, 7936, 2731, 6499, 519, 1876, 547, 979, 998, 5103, 513, 1654, 1729, 267, 789, 666, 2119, 547, 936, 20183, 519, 3375, 676, 8429, 519, 1482, 3915, 1586, 609, 513, 2706, 332, 1994, 640, 540, 16018, 780, 4131, 779, 1413, 693, 606, 1383, 547, 1294, 875, 891, 1079, 8371, 12840, 1247, 1869, 4509, 930, 7115, 1384, 5331, 596, 2661, 538, 513, 4884, 1572, 24442, 6807, 269, 2659, 2199, 14643, 2818, 630, 1492, 15424, 7936, 264, 1616, 547, 1628, 513, 6216, 20642, 25920, 6288, 865, 3214, 899, 596, 666, 2972, 811, 16351, 2238, 269, 2991, 1454, 4901, 267, 789, 8908, 513, 11556, 543, 6494, 621, 936, 547, 26302, 12722, 630, 1492, 10324, 7936, 1040, 2701, 8039, 519, 1544, 5402, 855, 11099, 602, 4946, 513, 2146, 4677, 7404, 1522, 4324, 3025, 3238, 269, 1924, 1352, 15920, 1200, 10372, 1394, 547, 519, 14643, 269, 8625, 267, 789, 21907, 543, 14207, 2394, 1312, 5011, 616, 13854, 269, 7053, 267, 1310, 1896, 11401, 267, 519, 8242, 25920, 6288, 1374, 3587, 513, 1876, 256, 20709, 2736, 2666, 4166, 26063, 267, 543, 1354, 1279, 267, 596, 1205, 547, 1449, 856, 519, 21743, 1007, 15155, 1186, 780, 1607, 9183, 9727, 519, 2956, 540, 5571, 2792, 1063, 1114, 2157, 540, 1379, 1369, 513, 2229, 1062, 269, 3962, 2427, 6770, 2189, 5380, 267, 9342, 267, 543, 3853, 267, 4180, 602, 3309, 8369, 3337, 1271, 3664, 7133, 6634, 540, 1004, 269, 1635, 1620, 15424, 7721, 1815, 5737, 1894, 267, 649, 1732, 5660, 938, 1909, 607, 4961, 10283, 538, 519, 11180, 1184, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10403, 12333, 590, 27942, 18218, 476, 1220, 271, 667, 1206, 630, 10574, 26306, 6796, 264, 476, 1220, 271, 454, 10403, 12333, 590, 27942, 18218, 476, 1220, 271, 667, 1206, 630, 10574, 26306, 6796, 264, 476, 1220, 271, 454, 4375, 282, 5812, 971, 513, 6505, 1863, 12333, 14069, 18218, 476, 1220, 271, 667, 4811, 267, 543, 646, 1772, 519, 10872, 540, 17651, 269, 476, 4375, 282, 15271, 4503, 547, 3251, 609, 1018, 707, 1863, 12333, 543, 3054, 543, 707, 6498, 543, 3401, 7466, 723, 269, 634, 1863, 12333, 814, 12219, 547, 24807, 513, 476, 273, 332, 11669, 12051, 540, 11788, 10579, 715, 1177, 1794, 26588, 604, 945, 814, 1759, 547, 1902, 609, 1641, 21625, 269, 5565, 540, 519, 476, 1789, 9276, 6976, 723, 11308, 269, 5063, 2094, 519, 1863, 12333, 14069, 18218, 540, 15826, 24273, 941, 267, 519, 2419, 8522, 30330, 656, 850, 16510, 3217, 5747, 621, 786, 562, 1405, 3476, 2462, 540, 1239, 20639, 2098, 559, 10946, 547, 2282, 609, 1296, 585, 6146, 902, 1996, 595, 10933, 798, 2472, 6082, 269, 2813, 547, 3247, 538, 476, 3192, 273, 267, 8381, 1189, 1185, 519, 9576, 5441, 540, 4347, 775, 5525, 267, 1141, 646, 1336, 782, 519, 1863, 12333, 267, 543, 538, 476, 3192, 275, 4465, 18279, 540, 4427, 3405, 710, 9751, 269, 769, 476, 3192, 277, 646, 1767, 547, 4241, 1863, 12333, 14069, 267, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 26765, 529, 331, 894, 268, 2750, 1815, 5737, 9534, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 11572, 6713, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 5375, 6481, 3600, 17815, 630, 310, 7246, 264, 568, 513, 1106, 540, 22591, 602, 814, 1044, 9862, 689, 2757, 4457, 4915, 630, 12839, 300, 264, 547, 3514, 1369, 513, 7262, 2564, 5943, 269, 898, 3322, 519, 24450, 540, 5386, 19271, 883, 1808, 2798, 593, 519, 1560, 1634, 607, 1035, 1575, 2002, 338, 267, 799, 616, 5156, 547, 5330, 547, 1585, 12214, 1949, 543, 3252, 269, 654, 7246, 568, 1419, 1031, 538, 14966, 609, 6671, 2564, 5574, 543, 6663, 547, 3895, 7067, 267, 2569, 1928, 267, 543, 2087, 2949, 1072, 543, 8171, 780, 763, 1523, 540, 654, 7246, 568, 12082, 538, 5778, 534, 10532, 543, 5778, 31850, 5735, 267, 2864, 982, 519, 1648, 5789, 573, 2103, 543, 7117, 328, 2095, 2404, 609, 570, 13967, 269, 4340, 547, 713, 5133, 267, 519, 24450, 540, 19271, 693, 1035, 1575, 2002, 338, 22262, 8229, 11103, 543, 31591, 519, 3844, 8401, 1062, 267, 3056, 547, 519, 5305, 540, 30088, 971, 607, 1439, 6973, 1231, 267, 22515, 267, 543, 6862, 611, 1066, 13824, 269, 1452, 6464, 1404, 1271, 5107, 538, 1928, 25244, 267, 6553, 5786, 267, 543, 7099, 7939, 269, 1306, 513, 1267, 267, 654, 7246, 666, 581, 2500, 538, 8156, 513, 2647, 2039, 540, 2175, 267, 1519, 30273, 1928, 267, 14331, 267, 31264, 267, 543, 2566, 5829, 4713, 780, 3080, 8037, 2460, 540, 654, 7246, 568, 922, 8561, 593, 2963, 2861, 2259, 543, 11826, 3621, 1382, 269, 31943, 619, 540, 654, 7246, 7048, 593, 909, 3562, 15082, 1382, 4681, 547, 3391, 741, 4791, 3375, 6194, 543, 16111, 13217, 741, 2553, 269, 901, 1935, 6763, 538, 4334, 547, 930, 3029, 540, 570, 13967, 267, 799, 949, 1747, 1447, 8561, 593, 12170, 2963, 543, 811, 593, 3140, 5389, 543, 10952, 3741, 780, 8601, 891, 3604, 267, 2705, 267, 972, 3788, 1713, 16937, 1063, 654, 7246, 543, 570, 13967, 538, 2474, 540, 4480, 543, 3498, 269, 5637, 4485, 4125, 519, 946, 540, 19271, 547, 12954, 1035, 1575, 2002, 338, 543, 29360, 9354, 6114, 269, 5047, 267, 1082, 9439, 540, 654, 7246, 6451, 2609, 540, 570, 13967, 883, 741, 2259, 267, 9301, 519, 1871, 540, 3309, 5380, 543, 32687, 1416, 3631, 780, 13146, 8441, 538, 5778, 574, 1645, 2029, 723, 8774, 1007, 1769, 593, 519, 6127, 5817, 654, 7246, 269, 1280, 1383, 267, 6198, 6419, 16982, 9196, 630, 325, 28122, 264, 2090, 723, 3254, 602, 22591, 13549, 24450, 31591, 4525, 540, 519, 2634, 3238, 538, 1928, 4393, 543, 7553, 7939, 269, 3958, 267, 27082, 1258, 12998, 29821, 630, 303, 4953, 264, 18767, 723, 7000, 2242, 538, 19548, 1973, 2095, 543, 10307, 1739, 22591, 2126, 269, 6270, 4681, 1683, 8903, 2963, 585, 519, 8849, 4493, 540, 654, 7246, 781, 9354, 2360, 780, 2005, 568, 4502, 15663, 602, 654, 7246, 1058, 1152, 581, 13736, 676, 11727, 3782, 4648, 945, 723, 4607, 3617, 2866, 543, 13995, 269, 769, 1840, 547, 11264, 606, 26886, 1982, 538, 11560, 14527, 610, 1776, 4143, 9015, 267, 9439, 1590, 6542, 15334, 538, 13549, 4480, 267, 3968, 1852, 267, 543, 3461, 3106, 10873, 269, 5015, 267, 5571, 2069, 543, 5578, 5826, 616, 1898, 3334, 540, 3743, 654, 7246, 2259, 780, 1103, 3932, 267, 5375, 6481, 3600, 17815, 4564, 513, 2189, 12760, 540, 9456, 543, 7262, 2564, 26336, 267, 5356, 513, 3532, 1907, 585, 5466, 513, 2647, 5044, 540, 1072, 4145, 269, 1635, 16107, 938, 3395, 1620, 540, 23798, 543, 1480, 17550, 267, 654, 7246, 3091, 4126, 585, 6634, 540, 2043, 5275, 2922, 267, 2500, 267, 543, 10531, 1416, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 300, 3464, 23770, 26689, 1067, 667, 20166, 563, 13142, 19714, 21783, 689, 1200, 2185, 1032, 2407, 6066, 2866, 693, 519, 3864, 3427, 540, 27777, 14527, 538, 476, 1960, 271, 269, 2701, 6170, 519, 1101, 476, 1321, 1296, 540, 1200, 4876, 538, 2259, 1312, 27352, 543, 267, 585, 513, 2110, 942, 267, 585, 519, 23244, 538, 595, 5797, 18484, 269, 2701, 729, 849, 1360, 3238, 538, 11560, 24403, 2069, 607, 513, 4116, 267, 4791, 28643, 543, 981, 10719, 269, 2701, 543, 1200, 1920, 6410, 547, 3933, 17625, 28790, 538, 476, 1960, 280, 950, 6170, 930, 942, 1445, 28410, 593, 1200, 1378, 3318, 1646, 269, 2701, 9333, 809, 2866, 538, 3733, 1993, 553, 1017, 16959, 9539, 3975, 1782, 9828, 543, 8899, 2271, 3748, 21558, 10657, 538, 1931, 547, 22962, 519, 2039, 540, 1983, 543, 2126, 3681, 1352, 1223, 2709, 2550, 269, 23770, 568, 5461, 538, 3695, 519, 2647, 3099, 540, 3334, 602, 666, 1764, 593, 513, 3461, 390, 376, 338, 1995, 540, 741, 1966, 267, 543, 1568, 5702, 609, 824, 4648, 547, 2327, 602, 2550, 1118, 543, 2226, 519, 1655, 6454, 789, 666, 563, 16031, 26573, 26689, 1067, 9823, 305, 27562, 1070, 667, 20166, 563, 1103, 476, 1960, 274, 26573, 21783, 689, 634, 3864, 3427, 540, 27777, 14527, 630, 2464, 302, 264, 538, 631, 4660, 560, 334, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 310, 3480, 6481, 3600, 17815, 257, 607, 851, 540, 834, 25503, 1315, 3600, 17815, 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, 32492, 29079, 18868, 630, 20003, 291, 264, 814, 19117, 519, 2361, 540, 5714, 11707, 676, 7175, 8030, 543, 3744, 547, 18082, 1950, 2095, 9259, 1210, 2780, 6620, 269, 634, 1379, 540, 18435, 291, 6013, 538, 922, 2702, 547, 4194, 12044, 4834, 602, 4766, 5714, 2623, 8308, 543, 7561, 269, 769, 713, 3296, 267, 649, 786, 5490, 883, 930, 540, 519, 5767, 7760, 538, 18435, 291, 3301, 267, 4481, 1346, 8045, 538, 10046, 268, 274, 291, 5403, 476, 1708, 274, 305, 273, 269, 1284, 3513, 2263, 875, 1007, 3758, 12043, 666, 3648, 2087, 2022, 3491, 22422, 4398, 1247, 7393, 17356, 609, 824, 14839, 2645, 543, 5685, 924, 27100, 5811, 630, 293, 12788, 264, 9479, 269, 3958, 267, 649, 3513, 4983, 9283, 1500, 547, 31285, 9781, 543, 2604, 24626, 19427, 3928, 780, 763, 4367, 540, 513, 1007, 1267, 3758, 3898, 1759, 593, 519, 12327, 7495, 4785, 4083, 3044, 19752, 513, 1713, 20014, 4464, 538, 2022, 3491, 22422, 7207, 1369, 10046, 268, 274, 291, 5403, 476, 1708, 274, 305, 273, 269, 901, 1007, 3898, 2636, 3755, 547, 2569, 519, 942, 2838, 585, 7829, 1804, 543, 6946, 13502, 676, 909, 547, 2947, 2053, 3379, 547, 3105, 8747, 269, 5047, 267, 621, 16881, 15774, 5610, 609, 1585, 15095, 2022, 3491, 25600, 543, 674, 12788, 9479, 998, 519, 13345, 540, 13113, 3693, 8544, 1127, 2404, 609, 1367, 3615, 269, 1635, 3257, 865, 267, 3755, 2744, 3152, 8112, 950, 2324, 609, 1114, 2079, 5867, 267, 5807, 5698, 543, 1702, 4687, 1851, 4648, 538, 3309, 4610, 780, 2414, 1732, 1174, 519, 1764, 540, 891, 3986, 906, 267, 1577, 721, 2015, 606, 1383, 1141, 513, 3540, 11653, 11394, 547, 5659, 1216, 2095, 3270, 1472, 513, 9241, 2966, 2481, 2497, 269, 22034, 4359, 18435, 291, 2553 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5433, 17204, 543, 14460, 780, 321, 264, 13772, 2006, 1107, 10801, 1010, 1433, 267, 26442, 2131, 1408, 19776, 5128, 547, 513, 4585, 2006, 267, 4171, 2816, 568, 547, 24633, 1004, 540, 8594, 269, 6684, 267, 26442, 2131, 1408, 4718, 5128, 607, 2576, 1572, 2390, 547, 10332, 519, 25232, 827, 31587, 10385, 543, 5000, 873, 547, 1065, 550, 1354, 621, 729, 1932, 3735, 780, 322, 264, 24747, 10738, 513, 24747, 1107, 769, 11271, 476, 272, 543, 476, 1015, 267, 26442, 2131, 1408, 814, 513, 5075, 540, 31676, 7919, 14964, 669, 926, 1824, 15504, 676, 2185, 2713, 7068, 269, 1452, 7068, 1142, 1185, 2185, 8188, 1765, 16058, 267, 17794, 267, 3404, 267, 543, 23914, 11652, 14743, 1369, 14743, 269, 9282, 9490, 267, 891, 6698, 9414, 2696, 781, 1379, 543, 10688, 267, 10771, 602, 1261, 25186, 1480, 7687, 780, 6962, 912, 3086, 602, 596, 917, 811, 827, 26442, 2131, 1408, 781, 946, 540, 13513, 267, 2119, 2542, 2694, 540, 1010, 1433, 1586, 543, 1294, 952, 596, 5469, 1022, 3606, 6698, 269, 5457, 267, 1620, 891, 3308, 11269, 2337, 721, 9787, 4514, 10096, 3297, 519, 1257, 543, 5660, 922, 4644, 538, 938, 2729, 2221, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 798, 513, 17646, 1088, 2000, 23565, 12566, 3529, 267, 513, 795, 14709, 10153, 685, 1714, 325, 267, 543, 10516, 27300, 723, 538, 1455, 609, 519, 4332, 540, 519, 14205, 1640, 693, 21861, 548, 1335, 286, 22682, 267, 4986, 563, 9213, 779, 8285, 9821, 798, 711, 2291, 538, 23075, 855, 17589, 689, 812, 13402, 5389, 5215, 540, 1296, 2025, 269, 22067, 1491, 513, 3460, 609, 803, 998, 1686, 543, 23075, 547, 1174, 519, 5168, 827, 713, 3063, 341, 12298, 5633, 540, 14812, 563, 13731, 5733, 29740, 593, 513, 8771, 20031, 1047, 454, 5575, 267, 649, 2015, 519, 23350, 540, 8285, 269, 1684, 649, 723, 2963, 602, 5412, 476, 1839, 628, 568, 519, 31050, 779, 14512, 286, 4340, 547, 1686, 543, 14172, 267, 972, 779, 1100, 2963, 602, 23968, 3333, 7699, 729, 4535, 593, 713, 1554, 610, 9170, 2673, 547, 621, 563, 763, 1715, 7826, 15610, 2829, 281, 968, 296, 10811, 2364, 762, 1498, 621, 4667, 267, 519, 4266, 540, 2441, 779, 4332, 568, 711, 1634, 269, 634, 717, 28145, 5815, 9444, 519, 1554, 6862, 519, 3923, 892, 630, 3422, 278, 267, 968, 13731, 5733, 892, 1916, 763, 4936, 7826, 5783, 8359, 5412, 476, 1839, 607, 519, 4266, 540, 519, 31050, 779, 4332, 269, 3143, 824, 2963, 6818, 9591, 602, 4266, 269, 1924, 649, 1265, 602, 519, 1360, 2707, 3743, 585, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 292, 345, 2131, 1408, 781, 2422, 540, 29526, 257, 607, 851, 540, 834, 32628, 1315, 19978, 5525, 1315, 6196, 11620, 1315, 11330, 515, 1206, 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, 570, 4459, 3122, 22955, 281, 4427, 31844, 28762, 8944, 543, 16871, 24755, 657, 538, 8836, 22569, 1588, 692, 1103, 2757, 7239, 1472, 519, 1158, 267, 8945, 9094, 616, 24819, 5515, 945, 4161, 6392, 267, 7519, 1514, 25327, 267, 543, 18220, 14784, 543, 13509, 269, 1452, 1929, 1400, 9988, 1419, 4865, 3337, 6879, 14823, 5759, 267, 7175, 873, 547, 16637, 6302, 1063, 3425, 267, 2831, 267, 10971, 267, 543, 824, 16447, 569, 7919, 269, 2755, 789, 666, 3006, 2408, 993, 7394, 610, 1256, 17351, 267, 8945, 9094, 849, 4196, 607, 27857, 585, 2208, 267, 1689, 267, 543, 20344, 1369, 741, 9757, 4529, 269, 901, 3184, 12538, 883, 519, 10848, 540, 8945, 3122, 5515, 998, 519, 7828, 540, 18691, 543, 13299, 267, 19286, 908, 875, 891, 28430, 3197, 4497, 609, 4798, 971, 607, 4008, 267, 1379, 267, 543, 1702, 2504, 269, 1635, 3695, 519, 6946, 6384, 540, 8945, 3122, 6386, 267, 649, 2832, 547, 22113, 4207, 3156, 543, 6286, 540, 891, 3504, 2984, 780, 296, 269, 20223, 519, 570, 4459, 3122, 7612, 692, 4263, 1101, 16145, 267, 621, 1522, 3100, 4101, 547, 8930, 1524, 513, 5730, 4214, 540, 519, 8945, 3122, 4137, 1813, 547, 922, 669, 877, 548, 4577, 2470, 2066, 1585, 2686, 8658, 269, 1717, 267, 1896, 1883, 4162, 9846, 10836, 538, 11673, 540, 8945, 9094, 1384, 272, 269, 2549, 15927, 8462, 281, 570, 4459, 9094, 19582, 2789, 5107, 8195, 282, 789, 616, 9444, 28025, 1649, 5271, 565, 550, 6862, 7357, 17351, 269, 5502, 267, 789, 2291, 538, 513, 4990, 540, 1929, 2692, 1141, 741, 15752, 2611, 9597, 5652, 267, 17021, 873, 2352, 547, 30387, 610, 10146, 4628, 563, 273, 269, 3690, 326, 1833, 281, 570, 4459, 9094, 4749, 1098, 28698, 6848, 8155, 267, 1166, 719, 532, 3652, 543, 14908, 609, 791, 29774, 269, 3414, 741, 1016, 951, 633, 3527, 267, 789, 16616, 519, 17062, 2470, 540, 891, 6042, 543, 20838, 741, 1761, 585, 12879, 563, 274, 269, 23426, 27691, 14823, 281, 3509, 8945, 9094, 4865, 519, 2702, 547, 7369, 741, 1106, 267, 3850, 873, 547, 29906, 6302, 1063, 1114, 26441, 630, 324, 3052, 1421, 6180, 531, 543, 10143, 264, 543, 1476, 895, 6788, 563, 275, 269, 595, 7342, 11106, 281, 570, 4459, 9094, 2308, 18854, 267, 524, 7342, 267, 543, 26760, 547, 3035, 741, 3853, 267, 1419, 856, 8243, 691, 532, 811, 3532, 10779, 2456, 998, 22406, 6457, 2864, 982, 1490, 1393, 3196, 563, 276, 269, 21537, 2135, 673, 7186, 281, 6736, 741, 4412, 3748, 585, 4929, 3765, 27815, 543, 14784, 267, 8945, 9094, 12212, 957, 607, 8069, 540, 1931, 543, 6617, 269, 4256, 20437, 2623, 5713, 607, 513, 12576, 602, 1272, 3294, 568, 20244, 18633, 543, 12155, 547, 6727, 10593, 780, 2862, 269, 13834, 543, 519, 570, 4459, 3122, 7612, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1993, 634, 717, 3424, 19004, 454, 6624, 966, 7860, 1865, 634, 717, 3424, 19004, 454, 8873, 547, 1283, 454, 32292, 667, 7702, 4860, 529, 1243, 454, 5804, 24686, 1105, 531, 19716, 5174, 4594, 532, 547, 513, 12339, 21442, 454, 763, 2376, 20460, 1080, 519, 7242, 540, 17455, 7702, 779, 13340, 607, 519, 2707, 540, 18495, 779, 1085, 712, 2471, 454, 663, 32215, 338, 7754, 667, 7702, 607, 513, 840, 1790, 27074, 1105, 531, 2353, 8566, 1853, 543, 26851, 540, 29179, 454, 663, 2806, 1495, 766, 269, 2991, 5466, 519, 575, 25311, 10054, 827, 968, 16058, 2470, 7536, 8974, 2391, 29724, 2000, 28515, 2804, 2219, 267, 594, 1459, 606, 1383, 540, 513, 29735, 22077, 4883, 880, 454, 303, 663, 7702, 14583, 609, 1200, 10516, 1700, 22366, 3344, 269, 594, 2303, 602, 519, 2067, 1436, 540, 513, 454, 5733, 1529, 730, 23381, 3297, 519, 968, 16058, 2343, 892, 2115, 547, 581, 6534, 269, 898, 568, 8806, 454, 821, 1851, 1082, 2009, 2081, 540, 19280, 1480, 1272, 543, 1620, 1480, 454, 333, 1155, 269, 769, 519, 4244, 10516, 16494, 543, 7954, 267, 3079, 540, 4630, 334, 2804, 639, 267, 519, 454, 17884, 949, 1134, 723, 1044, 3185, 2088, 1810, 753, 267, 519, 4758, 1480, 267, 918, 1511, 563, 763, 3804, 540, 1250, 7722, 1382, 5161, 538, 29379, 532, 575, 2106, 12510, 878, 16697, 2456, 454, 5976, 741, 17697, 8733, 9297, 543, 4264, 23381, 267, 835, 555, 320, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 4459, 3122, 22955, 257, 607, 851, 540, 834, 24719, 13316, 1315, 23205, 16161, 1299, 19088, 1108, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 27264, 9828, 910, 6380, 8948, 8973, 26943, 2435, 11595, 281, 3245, 12197, 547, 17934, 692, 296, 269, 634, 19606, 540, 25994, 281, 589, 17714, 3414, 5384, 543, 9177, 692, 5353, 2644, 616, 811, 982, 6071, 19057, 540, 4719, 1344, 282, 789, 616, 2713, 1065, 21627, 1559, 540, 2686, 3965, 267, 18220, 532, 519, 19469, 7326, 540, 5481, 540, 6705, 945, 723, 5402, 5697, 267, 12873, 267, 543, 5293, 1524, 891, 10475, 13344, 269, 1280, 9118, 27453, 267, 938, 11937, 16941, 2390, 713, 15982, 2078, 609, 2470, 547, 11349, 513, 5318, 13795, 540, 7693, 8677, 9862, 547, 8853, 538, 3309, 5054, 2066, 519, 8608, 269, 901, 6946, 7544, 1063, 3425, 543, 741, 1604, 5795, 4473, 547, 606, 27314, 5044, 540, 10366, 267, 12906, 553, 267, 18282, 267, 543, 9422, 12632, 602, 3136, 547, 16138, 880, 721, 2221, 780, 21953, 267, 607, 2413, 6694, 2853, 2968, 5051, 13856, 676, 1804, 8397, 1395, 665, 11857, 1949, 23163, 676, 29505, 989, 1026, 5350, 525, 267, 1082, 2757, 25752, 5979, 558, 8677, 941, 5641, 11735, 538, 3870, 540, 1164, 3917, 1752, 532, 29528, 543, 16220, 9168, 7103, 630, 14875, 11675, 1040, 1306, 513, 1267, 267, 649, 1265, 6000, 693, 513, 2565, 795, 15802, 1141, 8497, 11477, 6561, 7569, 6857, 4674, 543, 20982, 2962, 269, 769, 713, 3184, 267, 649, 786, 2263, 1585, 11091, 2553, 6322, 693, 17420, 519, 9048, 2897, 762, 5763, 540, 9265, 1671, 15590, 1441, 1369, 938, 5452, 1247, 8195, 7393, 519, 6043, 540, 938, 1426, 3761, 780, 2862, 269, 4197, 23268, 16844, 543, 4706, 11957, 692, 2414, 5660, 519, 4644, 540, 6079, 11091, 267, 621, 568, 1898, 1101, 547, 1174, 1946, 4509, 4719, 4763, 1851, 7693, 2249, 6927, 269, 15439, 2322, 267, 3152, 4719, 8390, 4679, 519, 10171, 602, 930, 2043, 1369, 513, 2551, 4865, 7592, 24705, 2590, 4187, 547, 10860, 267, 3676, 267, 610, 8801, 2825, 2175, 269, 1635, 8497, 713, 2067, 13111, 540, 13261, 1761, 267, 649, 666, 2721, 2390, 922, 2200, 547, 9742, 4824, 8677, 1732, 14018, 547, 11883, 609, 6932, 2591, 15054, 676, 2916, 1689, 267, 4199, 20317, 267, 543, 9687, 2068, 12503, 780, 11101, 267, 6079, 4763, 6585, 7096, 6286, 585, 8819, 1258, 5669, 2528, 267, 607, 2189, 10659, 540, 8137, 7135, 267, 4778, 267, 543, 1257, 1116, 2609, 3565, 547, 6237, 32345, 262, 10058, 9163, 269, 6333, 267, 585, 3236, 267, 519, 16221, 2244, 571, 806, 540, 8970, 6805, 547, 6792, 267, 4171, 9867, 4162, 723, 8032, 12475, 8759, 2504, 2409, 543, 1439, 15735, 2199, 8286, 609, 3982, 10444, 7907, 796, 520, 1555, 762, 998, 4630, 4094, 1242, 5010, 8677, 269, 4935, 267, 3646, 547, 2149, 6079, 4763, 4196, 711, 1152, 8733, 3252, 855, 849, 1914, 32241, 3283, 267, 4180, 2104, 5481, 262, 2702, 547, 2972, 519, 3638, 11477, 5389, 581, 4302, 520, 1117, 547, 721, 676, 938, 2062, 321, 8986, 780, 7656, 269, 12465, 23268, 30540, 10613, 281, 7033, 6804, 27067, 585, 7073, 8648, 692, 4263, 519, 2295, 540, 1022, 3811, 6079, 5726, 4640, 6013, 519, 2259, 540, 9494, 5452, 689, 1032, 547, 1032, 267, 3850, 6705, 543, 22254, 7567, 547, 28511, 14909, 7592, 1369, 741, 6074, 7693, 5095, 269, 2755, 4853, 6683, 1419, 1965, 3832, 9749, 891, 2085, 6040, 2553, 538, 3870, 540, 12349, 11378, 267, 972, 3788, 1454, 547, 1451, 689, 519, 2757, 1702, 30343, 1507, 8397, 7449, 14571, 8105, 2853, 5001, 780, 288, 269, 19139, 7600, 4997, 281, 19805, 519, 7454, 10410, 6036, 692, 763, 3355, 1900, 538, 2500, 6079, 9494, 3322, 7114, 543, 5248, 908, 1367, 2371, 27109, 5551, 10305, 267, 2436, 9120, 6556, 267, 8476, 2068, 4187, 267, 610, 11108, 6492, 269, 3683, 942, 267, 7368, 5542, 585, 1808, 7355, 2164, 538, 519, 16795, 13250, 540, 25368, 27586, 630, 531, 1181, 894, 3029, 540, 6090, 1070, 3056, 547, 31278, 9283, 538, 2949, 2773, 780, 289, 269, 1772, 15684, 9828, 281, 23496, 8830, 640, 543, 16473, 532, 9061, 4211, 2632, 8727, 692, 2414, 2226, 519, 8699, 540, 10710, 6079, 13632, 267, 6297, 3007, 1590, 581, 6976, 547, 7303, 13311, 3444, 1790, 3326, 1588, 1063, 1114, 8677 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 589, 14912, 6345, 546, 16218, 519, 3440, 543, 4090, 3320, 13793, 338, 689, 519, 26079, 540, 519, 11127, 269, 27539, 602, 519, 6345, 666, 581, 2808, 607, 513, 476, 4817, 269, 271, 4846, 1448, 27401, 21346, 693, 513, 4463, 540, 476, 273, 269, 271, 544, 1657, 519, 6989, 269, 1403, 13718, 288, 14912, 6345, 546, 16218, 519, 3440, 543, 4090, 3320, 13793, 338, 689, 519, 26079, 540, 519, 11127, 269, 27539, 602, 519, 6345, 666, 581, 2808, 607, 513, 476, 4817, 269, 271, 4846, 1448, 13718, 1862, 21346, 693, 513, 4463, 540, 476, 273, 269, 271, 544, 1657, 519, 6989, 269, 1403, 519, 11127, 26079, 814, 513, 5614, 3586, 540, 476, 278, 269, 275, 1535, 476, 1015, 317, 274, 715, 8276, 267, 676, 875, 1454, 1281, 519, 6345, 771, 2897, 519, 26079, 689, 519, 8880, 2990, 2496, 3286, 16331, 728, 1923, 26133, 3447, 1807, 692, 5804, 519, 1344, 2016, 267, 649, 723, 513, 6345, 540, 2527, 476, 4817, 4846, 16304, 689, 519, 26079, 540, 513, 11127, 269, 634, 2623, 540, 519, 11127, 26079, 666, 581, 16866, 547, 602, 540, 513, 5614, 609, 513, 5614, 3586, 540, 476, 278, 269, 275, 265, 1015, 317, 274, 715, 8276, 780, 763, 12761, 540, 519, 11127, 26079, 666, 581, 5462, 1210, 670, 5622, 651, 781, 1876, 269, 4340, 547, 670, 5622, 651, 781, 1876, 267, 674, 815, 910, 330, 343, 267, 1141, 674, 568, 519, 3196, 4929, 519, 12761, 267, 737, 568, 519, 5614, 3586, 543, 1535, 568, 519, 12761, 689, 519, 11466, 2990, 269, 634, 2942, 1129, 6920, 519, 12402, 540, 513, 5614, 547, 2132, 547, 519, 11466, 3259, 950, 19774, 780, 763, 6345, 540, 2597, 476, 4817, 4846, 11851, 338, 513, 3196, 2016, 676, 544, 265, 326, 1141, 544, 568, 519, 2527, 540, 519, 6345, 543, 575, 568, 519, 10231, 1813, 547, 8904, 3160, 547, 476, 280, 269, 279, 544, 4732, 317, 273, 269, 634, 3196, 568, 476, 4817, 265, 280, 269, 279, 815, 476, 280, 4029, 715, 692, 763, 12761, 1813, 519, 3196, 1535, 568, 2016, 676, 674, 31574, 269, 3371, 674, 815, 476, 280, 4029, 715, 543, 737, 815, 476, 278, 269, 275, 265, 1015, 317, 274, 715, 8276, 692, 343, 815, 476, 280, 4029, 270, 278, 269, 275, 265, 1015, 317, 274, 815, 476, 271, 269, 10219, 544, 692, 763, 12761, 540, 519, 11127, 781, 26079, 689, 922, 8880, 2990, 1813, 547, 519, 6345, 16304, 689, 621, 568, 476, 271, 269, 10219, 544, 269, 0, 258, 1215, 547, 1205, 535, 537, 8175, 2981, 689, 535, 537, 8175, 3126, 692, 1892, 30277, 19869, 31608, 454, 1103, 5758, 267, 519, 22263, 2981, 568, 513, 31633, 540, 519, 22263, 3126, 538, 519, 3970, 607, 700, 4485, 20581, 269, 898, 30283, 519, 15768, 14170, 589, 5332, 609, 513, 6024, 1599, 674, 17347, 264, 323, 330, 543, 2242, 519, 2040, 547, 606, 7533, 269, 901, 2636, 585, 519, 7004, 540, 513, 15768, 4756, 547, 513, 6024, 835, 543, 31758, 519, 3390, 540, 589, 5332, 4742, 674, 17347, 264, 323, 330, 563, 25105, 4364, 19869, 31608, 454, 1692, 596, 1205, 22263, 2981, 689, 22263, 3126, 286, 1684, 22263, 3126, 3587, 22263, 2981, 607, 700, 25341, 20581, 2496, 10674, 2517, 4118, 16447, 9884, 6504, 1090, 2593, 22077, 537, 8175, 9558, 845, 11258, 692, 296, 1810, 1405, 1174, 1141, 15768, 589, 1016, 562, 3587, 6024, 674, 17347, 264, 323, 330, 630, 1141, 674, 17347, 264, 568, 4010, 899, 589, 1016, 562, 538, 22263, 3126, 25145, 296, 849, 723, 513, 2489, 2243, 799, 568, 3248, 1692, 547, 2981, 513, 15768, 4756, 547, 513, 6024, 4756, 538, 1931, 547, 6460, 513, 14805, 566, 547, 7533, 2496, 296, 1589, 594, 917, 519, 2626, 1631, 780, 257, 1280, 513, 1599, 13350, 538, 30585, 299, 270, 273, 267, 299, 270, 273, 3910, 22263, 3126, 568, 454, 2330, 325, 3287, 264, 815, 1422, 8999, 3709, 333, 284, 10559, 13727, 23685, 13727, 7684, 288, 3709, 333, 348, 324, 3867, 328, 263, 273, 19570, 562, 343, 346, 270, 348, 299, 14587, 8607, 288, 3709, 333, 348, 815, 476, 272, 346, 270, 348, 299, 1422, 842, 3709, 268, 299, 346, 270, 348, 273, 8703, 299, 346, 270, 348, 273, 348, 325, 3287, 264, 324, 13064, 328, 263, 273, 19570, 562, 343, 346, 270, 348, 299, 14587, 11459, 269, 2330, 5016, 763, 851, 602, 729, 21898, 532, 803, 729, 834, 634, 22263, 2981, 568, 513, 31633, 540, 519, 1950, 22263, 3126, 538, 519, 3970, 607, 700, 15010, 13727, 269, 29799, 519, 15768, 3230, 288, 3709, 333, 6525, 609, 519, 6024, 674, 17347, 264, 323, 330, 1247, 15603, 562, 13624, 15010, 330, 269, 3973, 1689, 519, 2040, 547, 606, 7533, 267, 543, 519, 4834, 1831, 454, 2330, 325, 3287, 264, 815, 1422, 842, 3709, 10559, 13727, 23685, 13727, 348, 674, 17347, 264, 324, 3867, 273, 19570, 476, 1731, 343, 348, 323, 330, 8607, 674, 17347, 264, 815, 1422, 842, 3709, 10559, 13727, 23685, 13727, 348, 535, 3287, 264, 552, 13064, 273, 19570, 476, 1731, 343, 348, 11459, 2330, 27029, 7069, 2243, 729, 875, 3230, 288, 3709, 333, 6525, 3587, 3230, 293, 17347, 264, 546, 17347, 14638, 269, 23883, 1141, 519, 546, 330, 2501, 689, 888, 2330, 330, 284, 333, 346, 270, 348, 299, 2330, 282, 1287, 6695, 18773, 737, 815, 630, 333, 266, 272, 264, 346, 270, 348, 299, 910, 333, 346, 270, 348, 299, 815, 272, 346, 270, 348, 299, 2330, 2073, 950, 3230, 299, 2330, 4422, 547, 20581, 6695, 18773, 737, 2330, 2041, 3699, 546, 330, 563, 3383, 950, 3230, 299, 1422, 21375, 1422, 13727, 282, 589, 3709, 333, 348, 815, 293, 17347, 264, 323, 330, 21974, 11569, 256, 594, 993, 513, 6126, 812, 1631, 2433, 6393, 8310, 12995, 1384, 1012, 476, 272, 269, 1548, 568, 519, 3017, 1063, 22263, 2981, 543, 22263, 3126, 2496, 763, 22263, 2981, 568, 513, 6310, 5106, 602, 10920, 5099, 513, 1599, 883, 922, 25499, 12451, 267, 1247, 519, 22263, 3126, 568, 513, 1259, 540, 8204, 513, 13350, 1599, 607, 513, 2040, 540, 18980, 18042, 3252, 269, 634, 22263, 2981, 568, 3335, 1031, 585, 1875, 12656, 1675, 545, 3252, 267, 1247, 519, 22263, 3126, 568, 1031, 585, 13350, 3252, 780, 1012, 476, 273, 269, 1215, 798, 594, 5173, 519, 22263, 2981, 689, 513, 22263, 3126, 2496, 2414, 5173, 519, 22263, 2981, 689, 513, 22263, 3126, 267, 596, 666, 946, 519, 4542, 281, 674, 26028, 264, 815, 476, 273, 11027, 322, 3799, 264, 324, 317, 8987, 329, 1233, 307, 1070, 1141, 524, 3799, 264, 568, 519, 22263, 11664, 543, 570, 568, 519, 1974, 540, 519, 1599, 269, 1411, 666, 849, 946, 513, 2780, 1982, 610, 2228, 9498, 547, 1685, 519, 9819, 780, 1012, 476, 274, 269, 2052, 1022, 1599, 581, 6719, 676, 513, 22263, 3126, 2496, 5591, 267, 1152, 3252, 602, 616, 13350, 666, 581, 6719, 676, 513, 22263, 3126, 269, 1403, 513, 1599, 568, 711, 13350, 267, 621, 3112, 581, 6829, 607, 513, 2040, 540, 18980, 18042, 3252, 543, 4061, 3112, 723, 513, 22263, 3126, 6041, 780, 1012, 476, 275, 269, 1548, 568, 519, 4052, 3498, 540, 519, 22263, 2981, 543, 22263, 3126, 2496, 763, 22263, 2981, 543, 22263, 3126, 723, 1082, 4052, 3156, 267, 1519, 5365, 4393, 267, 3239, 4393, 267, 543, 1239, 13496, 269, 1358, 616, 849, 1031, 538, 4610, 971, 607, 6323, 267, 4702, 267, 543, 2780, 2257, 547, 5659, 543, 2203, 1950, 1949, 780, 1012, 476, 276, 269, 1215, 798, 594, 4612, 519, 2164, 540, 513, 22263, 2981, 610, 22263, 3126, 2496, 763, 2164, 540, 513, 22263, 2981, 610, 22263, 3126, 1397, 519, 17931, 543, 5123, 540, 519, 1114, 12451, 1459, 538, 519, 3312, 1599, 269, 901, 666, 948, 538, 1620, 519, 2623, 540, 519, 1599, 543, 666, 581, 1031, 547, 6882, 856, 13311, 12451, 538, 5365, 4393, 3156, 780, 28806, 454, 274, 454, 21366, 454, 272, 298, 454, 28806, 454, 272, 454, 21366, 454, 272, 298, 454, 28806, 454, 274, 454, 21366, 454, 272, 298, 454, 28806, 454, 279, 454, 21366, 454, 275, 298, 454, 28806, 454, 1321, 454, 21366, 454, 1015, 298, 454, 28806, 454, 1556, 454, 21366, 454, 272, 298, 454, 28806, 454, 273, 454, 21366, 454, 273, 298, 454, 28806, 454, 274, 454, 21366, 454, 279, 298, 454, 28806, 454, 276, 454, 21366, 454, 279, 5379, 454, 28806, 454, 274, 454, 21366, 454, 273, 298, 0, 258, 476, 273, 269, 279, 20028, 689, 513, 8672, 547, 513, 7412, 269, 20028, 689, 513, 1448, 547, 513, 1875, 3200, 673, 1899, 568, 1401, 476, 272, 264, 4855, 3845, 1063, 1899, 1299, 1448, 630, 928, 11732, 4627, 628, 264, 513, 264, 586, 780, 1012, 19809, 593, 6249, 281, 834, 273, 269, 279, 20028, 689, 513, 8672, 547, 513, 7412, 269, 20028, 689, 513, 1448, 547, 513, 1875, 3200, 673, 1899, 568, 1401, 476, 272, 264, 4855, 3845, 1063, 1899, 1299, 1448, 630, 928, 11732, 4627, 628, 264, 513, 264, 586, 1701, 1765, 19809, 13973, 1384, 273, 269, 279, 20028, 689, 513, 8672, 547, 513, 7412, 692, 291, 2700, 689, 513, 1448, 547, 513, 1875, 3200, 673, 1899, 568, 1401, 476, 272, 264, 4855, 3845, 1063, 1899, 1299, 1448, 630, 928, 11732, 4627, 628, 264, 513, 264, 586, 815, 476, 274, 343, 1341, 476, 273, 623, 263, 274, 267, 476, 275, 264, 1448, 630, 343, 476, 272, 267, 586, 476, 272, 3738, 630, 2254, 823, 782, 593, 835, 2427, 14386, 476, 274, 343, 1107, 586, 1341, 476, 273, 815, 476, 271, 1899, 3830, 281, 16547, 1341, 1635, 1341, 595, 815, 476, 271, 692, 2750, 476, 272, 264, 4855, 3845, 1063, 1899, 1299, 1448, 630, 928, 11732, 4627, 628, 264, 536, 264, 7412, 998, 630, 275, 267, 476, 273, 264, 543, 630, 1700, 275, 267, 476, 276, 264, 543, 519, 1448, 630, 275, 267, 476, 271, 264, 2608, 17647, 547, 1265, 3830, 540, 1899, 1101, 2439, 2414, 1265, 519, 3845, 1063, 476, 273, 6252, 3515, 267, 3274, 1265, 513, 1448, 593, 835, 1899, 1101, 543, 1287, 946, 519, 2034, 1899, 585, 3830, 1401, 476, 273, 264, 4855, 519, 3845, 1063, 6252, 286, 513, 1448, 286, 586, 788, 256, 1215, 827, 630, 271, 267, 1107, 274, 2020, 4322, 2055, 723, 6266, 540, 1483, 1158, 1972, 520, 976, 269, 31876, 17986, 510, 8571, 513, 4605, 256, 1401, 476, 274, 264, 1323, 11956, 1659, 940, 814, 513, 530, 3754, 4401, 1489, 3046, 7923, 547, 519, 2679, 1299, 519, 1659, 940, 865, 602, 621, 568, 13902, 547, 519, 1659, 940, 269, 3245, 519, 4605, 267, 3313, 519, 3259, 540, 519, 1489, 3046, 630, 1729, 14282, 20870, 264, 3830, 281, 630, 274, 267, 476, 279, 269, 1839, 264, 630, 271, 267, 476, 280, 264, 630, 271, 267, 476, 278, 269, 275, 264, 630, 13665, 264, 1448, 281, 630, 271, 267, 476, 278, 269, 275, 2020, 2171, 666, 18549, 2268, 13080, 540, 1919, 899, 19401, 676, 1210, 8904, 3586, 1299, 3432, 540, 3280, 5221, 540, 8904, 281, 546, 815, 476, 1626, 339, 476, 272, 476, 273, 630, 339, 476, 272, 815, 942, 1524, 264, 5221, 540, 3280, 281, 546, 815, 476, 8099, 271, 339, 476, 273, 630, 339, 476, 273, 815, 942, 540, 3280, 1394, 909, 264, 865, 476, 1626, 339, 476, 272, 476, 273, 815, 476, 8099, 271, 339, 476, 273, 11192, 942, 281, 570, 815, 512, 476, 272, 1341, 512, 476, 273, 610, 512, 476, 273, 815, 570, 1107, 512, 476, 272, 12990, 16634, 476, 1626, 339, 476, 272, 476, 273, 815, 476, 8099, 271, 24867, 1107, 512, 476, 272, 3738, 476, 1626, 339, 476, 272, 476, 273, 1341, 476, 8099, 271, 339, 476, 272, 1107, 476, 8099, 271, 307, 815, 476, 271, 692, 2750, 476, 275, 264, 589, 4224, 729, 12628, 538, 513, 1134, 269, 634, 2698, 942, 570, 585, 519, 4224, 547, 3914, 519, 5377, 540, 519, 1134, 543, 519, 3280, 547, 2951, 1394, 729, 476, 275, 269, 276, 338, 269, 4855, 519, 3178, 540, 519, 1134, 547, 519, 14282, 3723, 269, 476, 1626, 339, 476, 272, 476, 273, 1341, 476, 8099, 271, 339, 476, 272, 1107, 476, 8099, 271, 263, 275, 269, 276, 264, 815, 476, 271, 476, 1626, 339, 476, 272, 476, 273, 1341, 476, 8099, 271, 339, 476, 272, 1107, 476, 275, 4817, 271, 815, 476, 271, 946, 22712, 269, 1106, 269, 512, 476, 272, 815, 476, 275, 269, 2190, 610, 1107, 7761, 269, 4200, 865, 267, 546, 815, 476, 1626, 339, 476, 272, 476, 273, 815, 476, 1626, 263, 275, 269, 2190, 264, 476, 273, 815, 476, 25971, 10264, 780, 2750, 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 ]
[ 519, 2895, 28396, 540, 519, 2052, 776, 11866, 267, 543, 621, 2882, 519, 6697, 540, 3368, 519, 3003, 2551, 540, 519, 2895, 28396, 267, 543, 972, 568, 513, 1390, 8390, 540, 14099, 593, 519, 2627, 540, 713, 6532, 282, 519, 7187, 851, 540, 621, 568, 2407, 540, 3039, 4054, 267, 1247, 519, 9703, 3568, 10239, 267, 543, 519, 9390, 6227, 519, 7013, 4525, 540, 621, 267, 901, 6532, 3091, 1082, 2238, 602, 513, 21233, 666, 4497, 538, 267, 607, 646, 666, 3802, 1279, 9883, 267, 610, 1256, 11878, 21891, 538, 519, 10239, 267, 543, 646, 666, 2259, 513, 3099, 540, 1114, 1216, 5026, 563, 763, 6532, 538, 519, 9456, 9533, 7909, 568, 6059, 547, 581, 811, 982, 1079, 2929, 1296, 2025, 269, 4595, 476, 15876, 271, 5084, 267, 585, 811, 982, 3670, 1296, 267, 3592, 513, 10116, 540, 713, 6532, 729, 4988, 609, 15027, 11849, 267, 607, 519, 2601, 585, 713, 568, 1813, 547, 519, 4527, 540, 811, 982, 476, 4968, 3742, 22747, 593, 621, 267, 543, 519, 2462, 16411, 602, 7018, 769, 519, 3148, 538, 519, 1032, 476, 9264, 275, 5084, 267, 811, 23419, 8928, 3323, 547, 3382, 519, 2627, 540, 713, 6532, 563, 1607, 6532, 4867, 814, 9390, 539, 14099, 267, 855, 519, 15027, 2534, 593, 922, 2627, 5795, 621, 513, 4190, 5920, 1813, 547, 519, 4527, 540, 6886, 543, 7725, 593, 621, 269, 901, 6532, 849, 3568, 5140, 15417, 3037, 585, 3395, 5388, 267, 543, 621, 568, 4502, 15663, 602, 8436, 616, 4867, 4947, 547, 1294, 519, 22747, 538, 519, 7033, 534, 325, 11535, 5244, 267, 1656, 2972, 9361, 593, 519, 11824, 269, 1411, 666, 849, 3643, 15027, 23572, 538, 519, 7187, 851, 540, 873, 538, 13343, 657, 1642, 3397, 7699, 267, 2263, 873, 689, 519, 3330, 267, 543, 1294, 930, 9420, 11871, 602, 20948, 891, 23572, 1279, 3516, 563, 20755, 534, 325, 11535, 2817, 5244, 454, 1607, 6288, 568, 4092, 538, 519, 27623, 1439, 540, 700, 11961, 541, 1774, 538, 519, 2052, 776, 11866, 267, 543, 538, 476, 1960, 274, 5084, 20648, 10294, 713, 6288, 607, 513, 2518, 15395, 585, 519, 1979, 14459, 267, 1813, 547, 519, 1249, 602, 621, 568, 2808, 606, 4013, 1753, 585, 1082, 4686, 2371, 269, 0, 15650, 540, 3194, 6396, 1108, 454, 2467, 616, 1082, 1114, 1382, 16097, 8246, 538, 6530, 269, 16340, 569, 6340, 267, 972, 666, 581, 1079, 1114, 5686, 281, 12007, 543, 11050, 269, 19120, 5511, 1382, 12191, 3335, 3322, 519, 3498, 540, 12007, 1239, 547, 5352, 10855, 11673, 267, 5659, 1239, 267, 543, 6218, 2009, 3347, 1063, 2188, 543, 1367, 5615, 269, 19120, 5511, 1239, 568, 16148, 543, 10855, 282, 621, 1281, 711, 1683, 1022, 6662, 1344, 827, 2436, 513, 1268, 779, 2623, 568, 3339, 610, 1821, 5050, 269, 26592, 1382, 12191, 593, 519, 824, 1688, 568, 6662, 543, 18252, 8579, 1239, 547, 1449, 6436, 543, 1118, 11236, 269, 901, 1826, 540, 1382, 814, 519, 5413, 540, 1373, 2111, 547, 2489, 1125, 689, 12170, 4681, 267, 855, 1317, 621, 568, 1759, 593, 7194, 543, 4152, 267, 972, 568, 513, 12402, 585, 621, 547, 1831, 32682, 1027, 689, 922, 16148, 2470, 563, 763, 1826, 540, 1382, 1505, 454, 1103, 1931, 547, 2721, 21465, 3347, 1063, 1585, 4632, 267, 835, 814, 547, 2308, 2901, 11050, 610, 12007, 2409, 269, 4014, 930, 3173, 4782, 547, 946, 1312, 1317, 621, 2636, 873, 547, 1413, 883, 1312, 5011, 540, 519, 11777, 267, 1866, 616, 811, 20916, 2509, 1210, 1152, 11050, 2645, 269, 1717, 267, 621, 568, 1271, 547, 3314, 602, 713, 1826, 540, 1382, 2409, 616, 711, 20049, 762, 282, 972, 568, 513, 1713, 3017, 1063, 519, 1079, 269, 2913, 721, 1491, 513, 1413, 693, 1142, 14350, 563, 17357, 21975, 568, 606, 1383, 540, 835, 540, 519, 1079, 1382, 2409, 1419, 1031, 538, 6530, 282, 713, 3322, 519, 2078, 1063, 4632, 6027, 693, 1079, 610, 811, 2798, 538, 942, 269, 4856, 21975, 849, 3217, 519, 1106, 540, 513, 1611, 610, 3339, 7455, 267, 865, 621, 666, 4268, 2066, 942, 2798, 269, 634, 1034, 1455, 3029, 540, 9756, 538, 6530, 4125, 5276, 3466, 610, 513, 3339, 3892, 269, 1403, 972, 568, 513, 1713, 1297, 540, 1713, 7403, 267, 1287, 519, 2164, 540, 891, 7403, 666, 948, 538, 23235, 606, 5817, 5626, 1966, 563, 5194, 1505, 540, 14236, 519, 2497, 540, 2623, 568, 998, 519, 1184, 540, 1543, 2079, 269, 12474, 2079, 568, 2944, 998, 5373, 593, 1239, 689, 1082, 1114, 2959, 269, 17796, 666, 1331, 4603, 11673, 267, 2123, 11042, 267, 8343, 267, 543, 16863, 593, 1114, 10253, 269, 634, 2164, 4843, 786, 1397, 519, 3347, 1063, 1543, 267, 2495, 267, 10182, 267, 543, 824, 2188, 269, 901, 568, 513, 1360, 1271, 851, 540, 1022, 5626, 5868, 563, 23797, 5511, 543, 12007, 1382, 454, 288, 2101, 3017, 1063, 11050, 543, 12007, 1382, 6013, 538, 12191, 269, 19120, 5511, 2409, 946, 1082, 1114, 12007, 2994, 538, 1931, 547, 5531, 1344, 267, 1247, 519, 11050, 3173, 2445, 1239, 1152, 1210, 519, 2409, 1336, 538, 2257, 9499, 269, 2755, 519, 1079, 2010, 540, 5626, 1382, 723, 741, 3604, 267, 972, 568, 513, 1455, 2666, 585, 1312, 269, 5637, 2010, 540, 1382, 16097, 1590, 581, 6896, 547, 1683, 4977, 267, 3730, 2164, 269, 12989, 568, 513, 6609, 540, 1142, 540, 519, 1079, 2101, 2409, 1031, 547, 5659, 1480, 2623, 563, 307, 7773, 5525, 713, 568, 5310, 835, 540, 519, 9510, 3029, 540, 1382, 12191, 267, 543, 621, 2488, 3407, 1344, 827, 519, 4719, 6189, 540, 1453, 269, 898, 3459, 609, 519, 4332, 5638, 540, 1896, 1004, 543, 1287, 6594, 875, 741, 7209, 7592, 1644, 547, 519, 2168, 5920, 540, 1346, 2043, 269, 21298, 267, 18618, 2090, 723, 1831, 1454, 811, 2442, 1813, 547, 519, 2799, 2702, 547, 4983, 519, 2078, 1063, 2623, 543, 6090, 269, 769, 18618, 2090, 267, 21054, 616, 2356, 3177, 9838, 5036, 540, 1344, 610, 2147, 1344, 3823, 8965, 2042, 267, 543, 1287, 789, 616, 16913, 936, 942, 547, 6218, 2009, 4719, 7506, 269, 901, 1826, 540, 1353, 2488, 513, 6405, 2626, 827, 519, 3347, 1063, 4719, 543, 2825, 2188, 267, 799, 666, 581, 3810, 1713, 563, 19111, 2090, 616, 519, 1034, 4922, 1031, 1106, 540, 12007, 1382, 12191, 269, 26023, 267, 513, 2013, 1353, 6257, 513, 1483, 3510, 543, 1287, 5205, 621, 998, 689, 1376, 547, 9096, 269, 901, 1826, 540, 1353, 568, 5393, 10855, 543, 4277, 267, 1317, 621, 3947, 596, 519, 4316, 547, 1246, 519, 1646, 540, 606, 1367, 779, 2790, 1072, 936, 942, 269, 901, 1826, 540, 1382, 12191, 849, 2636, 16895, 547, 1449, 519, 2360, 540, 513, 1880, 2126, 593, 1808, 2516, 540, 1004, 936, 942, 267, 607, 1134, 607, 593, 513, 3084, 610, 2518, 4336, 563, 1607, 1826, 540, 1382, 12191, 568, 4440, 835, 540, 519, 1034, 4277, 547, 979, 936, 538, 713, 2110, 2376, 269, 11020, 9196, 814, 9090, 2097, 2059, 1259, 2094, 519, 476, 1960, 271, 338, 267, 950, 621, 1101, 2968, 2139, 269, 4653, 267, 609, 519, 948, 540, 1164, 10509, 2780, 1949, 543, 18909, 6191, 267, 3744, 723, 1044, 2111, 547, 1491, 25135, 32718, 540, 938, 12058, 543, 2965, 1294, 875, 938, 12058, 1599, 269, 1703, 616, 1631, 1256, 3549, 856, 972, 602, 616, 10647, 18909, 2090, 538, 1931, 547, 1732, 1174, 1018, 4422, 593, 3330, 1004, 779, 12058, 950, 789, 4497, 538, 1978, 5615, 563, 13625, 27752, 609, 12844, 4926, 454, 26244, 2358, 2659, 20389, 24143, 454, 16631, 543, 8535, 454, 763, 7731, 18225, 454, 288, 16819, 16376, 518, 2334, 24511, 2776, 24000, 8293, 597, 14843, 3245, 15775, 16819, 5253, 454, 763, 2805, 19120, 885, 7201, 6365, 607, 513, 26943, 2435, 15232, 454, 15575, 787, 12700, 1280, 8866, 281, 30466, 7699, 1656, 15016, 19085, 454, 13731, 534, 18321, 1656, 3163, 281, 5381, 885, 1656, 20212, 454, 268, 14288, 5675, 454, 268, 8865, 5530, 454, 268, 11879, 15154, 454, 268, 4065, 5999, 454, 268, 4828, 9669, 454, 268, 4828, 5675, 454, 268, 5131, 4828, 27842, 454, 268, 5131, 4828, 16574, 919, 454, 268, 5131, 4828, 11762, 454, 268, 5274, 8249, 454, 268, 9046, 14572, 454, 268, 3194, 7433, 454, 268, 5623, 5675, 454, 268, 4317, 12983, 454, 268, 16594, 5675, 454, 268, 12910, 7433, 454, 268, 19080, 5675, 454, 268, 5675, 26505, 0, 1805, 9792, 2243, 8197, 269, 769, 713, 2376, 649, 3513, 2263, 875, 4006, 630, 663, 2566, 543, 8102, 1218, 264, 666, 1860, 5042, 8647, 269, 1879, 649, 1745, 14129, 856, 649, 1419, 3914, 585, 4313, 1426, 610, 1582, 3053, 622, 799, 568, 2356, 19719, 543, 26265, 267, 4568, 543, 14933, 269, 1452, 782, 2014, 1973, 4006, 19261, 267, 14443, 532, 7280, 3761, 547, 519, 2634, 3775, 6883, 621, 540, 4492, 563, 4322, 1164, 29944, 3536, 610, 16098, 267, 2014, 513, 6825, 21782, 538, 1973, 4006, 267, 938, 18558, 1287, 5728, 525, 7378, 547, 3142, 519, 1973, 4006, 1394, 1524, 630, 1729, 2226, 27921, 264, 543, 649, 1287, 1995, 519, 4006, 1412, 13062, 1662, 8339, 634, 16154, 568, 6353, 676, 10539, 267, 23324, 5075, 267, 29338, 267, 7099, 23638, 267, 7411, 23622, 267, 17418, 547, 3818, 2389, 2532, 543, 26351, 585, 811, 540, 519, 1482, 547, 3142, 1973, 4006, 1394, 909, 269, 901, 5693, 5540, 5042, 1599, 543, 938, 2702, 547, 1589, 2786, 563, 1607, 3586, 586, 1195, 334, 1860, 666, 1291, 547, 7378, 4187, 910, 519, 1560, 711, 1373, 2111, 547, 3132, 2614, 7378, 547, 1832, 1919, 7123, 269, 4400, 2157, 540, 4006, 21883, 538, 519, 1973, 2164, 538, 1945, 1572, 1412, 16744, 322, 566, 8339, 634, 2281, 1831, 20202, 952, 596, 786, 630, 899, 950, 596, 21383, 4006, 593, 519, 4831, 543, 621, 3587, 20202, 3738, 543, 10408, 2792, 568, 15176, 269, 898, 781, 713, 25026, 566, 602, 7472, 834, 28723, 31946, 322, 566, 7736, 15733, 589, 12283, 338, 264, 4611, 538, 10408, 3441, 543, 6553, 2429, 519, 1560, 267, 1519, 519, 2634, 910, 10416, 23960, 519, 10172, 1184, 269, 901, 1198, 666, 581, 2938, 538, 31911, 945, 798, 711, 1852, 741, 1973, 4006, 4611, 538, 15847, 29302, 267, 21901, 543, 993, 1584, 566, 563, 306, 13610, 568, 849, 606, 1412, 21468, 5991, 22021, 262, 2495, 621, 3123, 519, 22930, 540, 5567, 910, 519, 1360, 3283, 649, 991, 585, 2566, 543, 5042, 1599, 899, 645, 1950, 8324, 267, 6171, 595, 267, 13101, 543, 13058, 269, 1452, 5567, 616, 782, 2877, 585, 32239, 2504, 543, 513, 2629, 1184, 1572, 18861, 566, 269, 9453, 891, 5567, 267, 5834, 267, 3965, 543, 7099, 616, 15176, 269, 595, 25377, 710, 267, 4568, 543, 2566, 849, 632, 10968, 891, 2629, 5567, 563, 305, 14445, 532, 4006, 538, 782, 540, 922, 3029, 267, 1519, 15568, 11950, 630, 31347, 15347, 1863, 610, 711, 1070, 23238, 543, 4568, 267, 786, 979, 513, 1279, 1259, 547, 4543, 596, 3035, 19993, 2634, 1599, 269, 6333, 4742, 834, 8208, 334, 268, 880, 257, 676, 13868, 930, 2834, 19323, 5370, 609, 27520, 7888, 10346, 269, 1656, 540, 1576, 7110, 532, 609, 13101, 267, 6171, 595, 267, 645, 1950, 8324, 267, 13058, 543, 15060, 476, 274, 3165, 3282, 786, 2285, 707, 2634, 519, 2645, 621, 2115, 547, 1685, 519, 1259, 596, 1616, 621, 547, 910, 5100, 543, 8325, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 2147, 2783, 540, 824, 6091, 540, 513, 23856, 5377, 267, 9279, 1097, 29701, 267, 4835, 1327, 6362, 267, 519, 606, 639, 26550, 1807, 267, 3092, 269, 538, 971, 2665, 3717, 827, 513, 6794, 540, 513, 23856, 5377, 3248, 268, 693, 513, 6794, 540, 513, 15090, 11057, 4887, 972, 616, 3592, 2141, 2653, 838, 327, 3307, 20143, 18063, 281, 513, 1507, 23249, 1354, 606, 30614, 563, 21618, 540, 513, 840, 331, 636, 540, 8043, 543, 1414, 1738, 8229, 538, 1016, 701, 541, 11057, 2230, 912, 268, 24074, 693, 513, 13496, 540, 513, 1414, 1738, 8229, 723, 29749, 1915, 609, 519, 6829, 3543, 894, 7801, 630, 10623, 9934, 540, 513, 28306, 267, 8781, 267, 606, 5212, 699, 1597, 523, 328, 6614, 994, 268, 23735, 2747, 540, 1928, 593, 782, 1850, 610, 621, 568, 4776, 22460, 593, 513, 7997, 540, 606, 7961, 3569, 540, 512, 756, 658, 543, 4017, 983, 13285, 454, 268, 1008, 25607, 2188, 616, 3002, 267, 513, 4365, 4657, 267, 17173, 3871, 454, 268, 3006, 519, 16846, 267, 21603, 8417, 6175, 513, 16223, 650, 454, 268, 693, 4776, 22460, 9525, 540, 11103, 689, 799, 519, 512, 756, 658, 8229, 3029, 1928, 568, 22297, 538, 1394, 1895, 540, 6091, 540, 513, 695, 514, 910, 538, 873, 24074, 950, 6972, 1020, 267, 693, 1449, 540, 700, 848, 8615, 282, 27621, 1807, 7224, 24896, 538, 737, 3711, 531, 10604, 5500, 543, 521, 1116, 6091, 568, 7074, 454, 21618, 540, 513, 840, 331, 636, 540, 519, 2539, 12765, 1442, 16050, 543, 8043, 540, 519, 1034, 1414, 1738, 8229, 912, 268, 8325, 8429, 609, 513, 1850, 21729, 2214, 11047, 267, 3056, 547, 519, 20367, 22917, 8864, 910, 519, 3461, 568, 7142, 950, 6972, 547, 3247, 267, 1694, 1524, 610, 2482, 1524, 282, 1850, 2960, 693, 519, 1482, 942, 7140, 12779, 282, 1310, 1964, 540, 519, 3461, 666, 3136, 6972, 267, 855, 4166, 621, 28197, 519, 1482, 4323, 563, 30131, 10368, 1449, 10540, 339, 591, 1485, 2313, 16408, 519, 3056, 1909, 538, 5250, 540, 513, 4791, 4605, 540, 513, 1989, 639, 515, 341, 4176, 4887, 910, 568, 922, 22467, 1674, 630, 320, 15090, 11057, 4887, 264, 18051, 665, 12578, 609, 4879, 540, 519, 2318, 10593, 16109, 693, 519, 1482, 942, 563, 26807, 8261, 4255, 948, 547, 10646, 513, 6794, 540, 513, 15090, 11057, 4887, 912, 268, 24896, 693, 513, 27621, 566, 540, 2357, 16223, 928, 341, 18133, 1066, 5500, 1858, 540, 513, 2462, 838, 527, 540, 513, 3185, 584, 630, 1492, 1747, 540, 606, 13613, 540, 513, 15090, 11057, 4887, 994, 268, 24896, 693, 513, 27621, 566, 540, 513, 2539, 851, 540, 513, 5485, 549, 8270, 659, 4745, 910, 513, 16879, 540, 519, 1747, 540, 606, 13613, 540, 513, 15090, 11057, 4887, 454, 268, 12093, 540, 1928, 693, 12809, 5786, 540, 513, 12048, 609, 922, 21800, 10047, 3330, 630, 289, 517, 6339, 5174, 984, 22201, 23364, 13960, 781, 10835, 994, 268, 519, 1449, 585, 513, 1382, 540, 513, 5485, 1537, 543, 513, 1233, 539, 1352, 2378, 3850, 547, 13209, 693, 519, 1482, 942, 513, 2783, 540, 5485, 1537, 543, 513, 1233, 539, 543, 24924, 3930, 659, 1537, 1352, 2314, 454, 268, 2498, 548, 3120, 613, 593, 513, 12765, 1442, 630, 5228, 519, 7210, 5428, 264, 910, 693, 519, 1482, 942, 14340, 519, 1928, 14178, 593, 519, 1394, 2627, 540, 513, 12048, 454, 268, 24162, 2006, 781, 10835, 910, 693, 9514, 676, 513, 17200, 610, 519, 2322, 11263, 593, 562, 714, 18255, 788, 1195, 553, 333, 747, 5500, 610, 2357, 16223, 928, 330, 6135, 339, 810, 11803, 1035, 13183, 553, 4386, 5786, 540, 1350, 1393, 4926, 563, 21675, 540, 513, 6794, 540, 513, 15090, 11057, 4887, 912, 1103, 1034, 2665, 15494, 568, 18796, 676, 3119, 1533, 799, 3361, 5250, 540, 513, 16757, 543, 512, 4577, 6794, 269, 2311, 17594, 540, 3119, 2707, 540, 513, 11213, 791, 6160, 566, 519, 16846, 16757, 543, 512, 4577, 6794, 666, 1036, 816, 269, 1879, 16757, 543, 512, 4577, 18063, 1831, 519, 1292, 610, 4830, 2707, 540, 1928, 267, 4019, 1312, 2199, 267, 543, 2489, 7506, 269, 853, 4958, 4221, 267, 18552, 540, 519, 5461, 4887, 267, 3310, 676, 519, 8337, 1610, 23956, 267, 519, 2409, 540, 8261, 3797, 9859, 593, 4254, 16478, 540, 519, 13351, 9451, 13887, 30254, 10126, 616, 5645, 856, 269, 4856, 14431, 540, 513, 30254, 8305, 9189, 267, 9319, 540, 1008, 25607, 4452, 902, 543, 13514, 568, 10257, 269, 769, 519, 9000, 540, 513, 7254, 21925, 1127, 5652, 1909, 540, 513, 16757, 543, 512, 4577, 6794, 3483, 540, 715, 11901, 303, 543, 4887, 6001, 1218, 2348, 1387, 1326, 545, 3601, 267, 585, 1383, 267, 540, 513, 512, 714, 534, 573, 514, 568, 2009, 563, 2026, 519, 11213, 8082, 540, 513, 15090, 11057, 4887, 568, 1034, 1419, 4448, 609, 606, 16698, 540, 519, 1101, 5485, 1537, 3597, 267, 621, 568, 10257, 547, 4163, 856, 1583, 6053, 18051, 665, 664, 545, 3625, 1228, 540, 713, 3597, 543, 18051, 665, 664, 1436, 540, 513, 15090, 11057, 4887, 269, 8347, 532, 547, 6001, 513, 15090, 11057, 4887, 267, 621, 568, 2556, 547, 946, 5892, 3625, 1228, 267, 519, 4617, 2287, 18552, 540, 12765, 1442, 6091, 693, 21800, 14021, 4393, 540, 740, 2265, 832, 563, 28343, 1228, 540, 513, 15090, 11057, 4887, 269, 634, 1448, 540, 22467, 1674, 540, 513, 15090, 11057, 4887, 568, 1336, 607, 5205, 269, 4460, 513, 2462, 838, 527, 540, 513, 12048, 267, 606, 5580, 1394, 513, 1233, 540, 606, 476, 850, 531, 5642, 543, 513, 1414, 1738, 14629, 1442, 267, 4045, 891, 2798, 543, 689, 606, 5580, 1394, 513, 1233, 593, 519, 4493, 540, 713, 6906, 4163, 856, 20312, 624, 3700, 269, 634, 2838, 1448, 568, 4092, 593, 8473, 540, 519, 2539, 543, 1647, 851, 540, 713, 20312, 624, 3700, 269, 3371, 4283, 513, 13549, 19794, 593, 3178, 540, 476, 277, 910, 476, 279, 4699, 543, 22467, 337, 597, 583, 513, 4887, 540, 476, 271, 267, 276, 260, 18051, 665, 12578, 3070, 538, 1297, 540, 711, 1447, 982, 476, 1015, 16720, 563, 294, 2096, 333, 2880, 5751, 799, 616, 5227, 585, 11005, 540, 513, 15090, 11057, 4887, 543, 11852, 540, 1200, 21087, 1235, 666, 581, 5645, 856, 538, 519, 1739, 1931, 269, 769, 3510, 593, 8095, 609, 3368, 321, 550, 7953, 267, 519, 10709, 532, 1151, 525, 827, 513, 4172, 577, 267, 519, 3461, 2306, 519, 5347, 5322, 540, 4276, 543, 14713, 540, 19704, 269, 3973, 267, 2348, 4448, 3368, 321, 550, 7953, 267, 519, 3461, 25525, 3585, 24864, 609, 835, 12597, 1776, 1282, 476, 274, 268, 276, 3817, 269, 634, 1739, 3635, 910, 834, 322, 2784, 548, 2580, 568, 5645, 856, 8164, 2009, 1510, 3946, 693, 3742, 19755, 540, 25637, 269, 3973, 538, 513, 9361, 2990, 4922, 1747, 1151, 525, 267, 1921, 19704, 543, 267, 10709, 532, 1996, 513, 4172, 577, 513, 13869, 540, 606, 856, 560, 4958, 3481, 6186, 267, 2253, 547, 4473, 609, 513, 4172, 577, 269, 1635, 519, 942, 540, 950, 519, 13869, 2501, 1055, 513, 4172, 577, 267, 2709, 824, 1688, 547, 519, 14357, 4543, 547, 2347, 2786, 2287, 540, 513, 1560, 269, 1635, 713, 4090, 519, 4448, 19704, 11884, 5094, 269, 1879, 519, 1533, 10607, 267, 693, 513, 3942, 540, 1036, 7675, 543, 1282, 1121, 2153, 267, 621, 568, 5227, 1419, 630, 8117, 711, 1279, 264, 547, 3444, 538, 3510, 834, 1492, 7953, 2668, 0, 306, 9567, 1325, 821, 281, 634, 3203, 540, 519, 3752, 334, 8535, 729, 8385, 513, 18497, 957, 269, 898, 729, 3351, 9107, 543, 267, 538, 513, 1259, 267, 9059, 910, 621, 1500, 960, 2653, 269, 8535, 729, 849, 513, 8086, 540, 519, 13439, 1417, 1514, 1931, 267, 609, 835, 1291, 5639, 543, 519, 1964, 14775, 269, 634, 1101, 21088, 2575, 729, 4061, 513, 3532, 957, 540, 19802, 267, 540, 6891, 269, 901, 10916, 3568, 513, 1390, 4763, 540, 1151, 657, 282, 811, 982, 513, 26992, 24508, 519, 9510, 689, 519, 1034, 2487, 282, 972, 616, 1151, 657, 585, 1166, 2373, 267, 556, 2644, 267, 21567, 267, 561, 2373, 267, 1990, 527, 1667, 267, 535, 26680, 267, 14440, 267, 25576, 15664, 267, 543, 5639, 282, 519, 2575, 2501, 689, 519, 14033, 5101, 267, 519, 10787, 5101, 267, 5245, 267, 2342, 267, 543, 519, 17113, 269, 1809, 5103, 519, 4334, 540, 7405, 543, 6163, 267, 1018, 7930, 3587, 7805, 568, 519, 16726, 9944, 519, 2627, 540, 891, 1568, 563, 306, 9567, 1325, 821, 281, 634, 3203, 540, 519, 3752, 334, 454, 24175, 2248, 338, 602, 972, 568, 930, 4909, 11984, 827, 519, 1259, 12372, 2769, 2933, 538, 513, 21088, 4259, 910, 1945, 602, 11225, 454, 1492, 3203, 540, 519, 3752, 334, 1547, 901, 568, 930, 540, 519, 1034, 13948, 5433, 2575, 519, 1158, 257, 338, 6574, 5389, 723, 547, 2709, 269, 1403, 519, 957, 540, 1818, 2575, 568, 513, 2123, 835, 267, 865, 1932, 568, 6947, 269, 8535, 729, 2141, 5921, 547, 581, 19557, 547, 910, 676, 824, 1004, 267, 610, 676, 1945, 3116, 267, 2436, 596, 1289, 621, 2696, 610, 2470, 610, 676, 1776, 2012, 269, 1656, 602, 568, 519, 2601, 585, 454, 306, 9567, 1325, 821, 281, 634, 3203, 540, 519, 3752, 334, 1547, 5221, 1310, 782, 267, 2575, 666, 581, 5340, 4805, 267, 543, 4862, 4805, 267, 855, 621, 568, 1869, 513, 18497, 1148, 267, 5921, 547, 581, 3838, 269, 12344, 621, 1152, 5963, 3587, 2575, 950, 621, 568, 3838, 269, 0, 2419, 9532, 476, 866, 268, 2190, 281, 5999, 543, 12226, 454, 272, 269, 634, 8458, 602, 2986, 8705, 1066, 786, 5838, 513, 2635, 4816, 616, 1152, 835, 538, 2185, 269, 1548, 1281, 713, 5815, 827, 519, 1533, 540, 519, 1604, 888, 273, 269, 4595, 789, 1404, 1100, 1483, 1909, 538, 519, 4332, 1184, 267, 1946, 798, 519, 654, 1161, 543, 7435, 2742, 1749, 782, 7390, 519, 4332, 540, 2986, 8705, 1066, 779, 270, 13202, 710, 779, 1126, 888, 274, 269, 4595, 519, 4332, 568, 513, 2027, 2021, 779, 2680, 267, 1946, 616, 519, 7435, 2742, 1749, 2016, 17071, 1426, 547, 602, 540, 519, 654, 1161, 888, 275, 269, 5510, 1042, 4967, 602, 782, 6191, 602, 1223, 2995, 519, 23812, 540, 513, 21565, 723, 1044, 7979, 31090, 538, 717, 850, 611, 269, 1548, 1281, 713, 7866, 827, 519, 2486, 888, 276, 269, 4208, 616, 519, 7435, 2742, 573, 27466, 525, 693, 519, 4741, 3254, 8874, 540, 605, 31547, 15594, 678, 718, 625, 1310, 2348, 9763, 10795, 454, 277, 269, 1215, 1223, 5510, 1042, 723, 642, 785, 5344, 1200, 3993, 888, 278, 269, 1403, 2840, 2251, 9002, 568, 717, 850, 611, 779, 8783, 3804, 267, 1946, 616, 519, 9002, 9275, 540, 865, 1289, 3585, 888, 279, 269, 2986, 782, 519, 3756, 646, 1223, 3442, 267, 1946, 1281, 519, 2155, 6387, 1616, 547, 1404, 2480, 4599, 1076, 888, 280, 269, 4208, 1281, 519, 2155, 6387, 2307, 5510, 1042, 547, 21098, 1864, 888, 1015, 269, 4208, 568, 621, 1713, 602, 5510, 1042, 31061, 513, 17245, 10023, 519, 5134, 816, 540, 513, 19524, 689, 519, 13303, 5834, 13122, 1310, 1200, 968, 11845, 892, 609, 519, 2155, 6387, 540, 1200, 7622, 888, 272, 269, 634, 1970, 4332, 2557, 543, 519, 1164, 10867, 9019, 2557, 2303, 602, 519, 1604, 814, 1831, 5051, 6757, 269, 19634, 333, 827, 5533, 4667, 547, 723, 1044, 1776, 3815, 602, 1291, 547, 519, 717, 850, 611, 4838, 269, 5510, 1042, 2488, 930, 540, 519, 3877, 540, 519, 8733, 6433, 676, 13288, 547, 1011, 5317, 10570, 1379, 2371, 2059, 519, 5842, 27055, 553, 13337, 543, 513, 30354, 8833, 540, 32411, 602, 1223, 711, 581, 23174, 563, 273, 269, 717, 850, 611, 568, 9277, 547, 581, 827, 968, 26967, 2418, 892, 1765, 16341, 540, 873, 267, 693, 2547, 11652, 621, 30242, 547, 3247, 519, 7771, 538, 3043, 24570, 269, 1924, 519, 4332, 540, 3967, 710, 779, 1126, 568, 711, 1175, 513, 1920, 2680, 267, 855, 513, 2146, 11812, 269, 1809, 717, 850, 611, 5302, 2958, 919, 519, 28486, 267, 4758, 1034, 540, 922, 1158, 547, 2367, 267, 855, 6028, 930, 585, 2021, 269, 901, 568, 835, 540, 1346, 2127, 563, 274, 269, 717, 850, 611, 568, 2407, 540, 12611, 269, 898, 6811, 547, 581, 6426, 2861, 267, 2943, 621, 8591, 547, 610, 25533, 525, 689, 519, 6426, 607, 621, 23297, 269, 898, 849, 3947, 513, 1360, 2483, 263, 763, 3003, 3296, 568, 476, 279, 3445, 1913, 4700, 0, 299, 1263, 344, 601, 779, 960, 25361, 606, 1271, 13395, 585, 1762, 1004, 3843, 547, 1174, 519, 4229, 543, 14789, 602, 5280, 547, 3337, 519, 1158 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1210, 14924, 520, 16100, 7348, 518, 269, 634, 3135, 666, 581, 1336, 693, 281, 5291, 2517, 4133, 520, 19972, 30994, 7714, 10993, 270, 563, 1607, 5850, 2982, 596, 875, 547, 3406, 3047, 18439, 337, 1210, 20173, 543, 29978, 10974, 563, 1607, 5850, 2982, 596, 875, 547, 798, 513, 13557, 4647, 540, 9682, 11052, 1210, 3047, 18439, 337, 269, 634, 3896, 666, 581, 1336, 693, 552, 691, 28411, 680, 648, 337, 30994, 7714, 10993, 563, 4785, 14899, 661, 4629, 306, 1923, 1215, 1677, 9612, 543, 8281, 31420, 22569, 2044, 634, 2475, 14899, 3047, 8249, 9866, 3569, 543, 3163, 630, 2207, 5308, 264, 4741, 814, 2813, 513, 3126, 540, 7044, 547, 948, 3755, 3406, 585, 543, 4647, 20716, 2283, 539, 11052, 269, 634, 1101, 1900, 538, 519, 1184, 568, 547, 11578, 585, 513, 1863, 2272, 865, 596, 666, 3406, 543, 1931, 1239, 689, 3047, 18439, 337, 543, 3794, 334, 14106, 7270, 269, 901, 3381, 15211, 596, 998, 519, 14261, 1184, 269, 1411, 666, 1265, 3606, 7044, 593, 2645, 543, 2010, 540, 11052, 2139, 593, 713, 3896, 281, 2144, 657, 30994, 7714, 10993, 563, 300, 7495, 3041, 267, 3162, 2701, 339, 1633, 6816, 15027, 726, 6979, 267, 9715, 476, 280, 269, 3066, 269, 1626, 454, 299, 1343, 520, 3239, 3144, 538, 476, 1960, 273, 2982, 519, 772, 842, 320, 15142, 7532, 540, 17865, 8235, 4975, 269, 634, 18707, 540, 4158, 3039, 5815, 2635, 267, 3768, 626, 32328, 4104, 269, 14924, 520, 3239, 540, 519, 1482, 1858, 538, 476, 1001, 271, 19306, 519, 10565, 14213, 540, 7823, 12566, 22404, 269, 634, 4158, 2699, 25859, 7866, 7839, 12566, 27134, 9552, 563, 14071, 2461, 7487, 519, 2530, 540, 7733, 538, 1082, 4025, 2223, 1767, 15623, 17713, 523, 267, 513, 7548, 693, 519, 2160, 540, 15930, 269, 968, 291, 3428, 923, 1331, 2810, 9341, 17717, 267, 811, 7928, 543, 4049, 16004, 531, 4104, 11642, 267, 2068, 538, 22465, 7733, 543, 519, 12796, 527, 1436, 540, 31210, 7733, 3034, 8450, 513, 8717, 540, 4993, 10980, 8897, 538, 713, 3047, 8698, 689, 14924, 520, 563, 1607, 3047, 8698, 689, 14924, 520, 2982, 875, 14700, 538, 18335, 666, 1860, 2518, 29704, 5777, 563, 2026, 851, 540, 513, 1007, 693, 20393, 540, 11052, 585, 4639, 4000, 267, 5176, 476, 3451, 1296, 540, 2244, 14025, 1689, 666, 581, 2938, 538, 13280, 781, 21411, 558, 340, 11206, 15944, 563, 1607, 3018, 781, 3047, 8698, 2982, 519, 2360, 540, 476, 273, 18797, 23967, 538, 18335, 563, 763, 8241, 3057, 872, 2494, 568, 6450, 1941, 2336, 8310, 3923, 267, 519, 19300, 4673, 4718, 513, 678, 10846, 281, 6777, 2336, 1103, 938, 2063, 3047, 8698, 540, 476, 1001, 277, 267, 596, 666, 1294, 519, 2823, 540, 15585, 614, 17043, 1332, 676, 476, 276, 267, 1822, 14143, 2336, 23895, 14896, 622, 18518, 781, 645, 545, 550, 27812, 609, 513, 14924, 520, 631, 6242, 545, 12005, 2336, 1103, 713, 14924, 520, 3047, 8698, 267, 835, 27224, 538, 16266, 536, 15085, 519, 2518, 7678, 912, 1607, 3047, 8698, 689, 14924, 520, 2982, 17717, 538, 21896, 1063, 476, 2735, 280, 543, 476, 1001, 277, 563, 1607, 3047, 8698, 2982, 875, 8093, 1216, 568, 1031, 585, 6683, 538, 18142, 17936, 269, 0, 12218, 2305, 1315, 18780, 454, 13349, 4408, 1923, 14271, 11618, 1923, 18280, 690, 540, 674, 8460, 630, 2102, 1421, 838, 4700, 1923, 594, 2316, 306, 1923, 3213, 299, 1923, 654, 334, 305, 5960, 1923, 1849, 4752, 320, 454, 8002, 514, 641, 6670, 326, 4512, 630, 2001, 1922, 514, 2740, 24991, 264, 3436, 717, 2096, 2254, 6134, 525, 454, 263, 298, 333, 604, 1030, 8460, 264, 3436, 14523, 641, 558, 13160, 454, 292, 22029, 281, 4858, 16408, 1506, 16647, 558, 639, 281, 5259, 267, 2909, 577, 903, 267, 552, 807, 815, 2110, 1341, 5259, 267, 3834, 334, 815, 896, 1341, 5259, 267, 533, 5448, 267, 910, 520, 657, 815, 3382, 630, 8269, 269, 476, 28526, 3374, 5148, 9267, 614, 328, 281, 715, 3139, 585, 19124, 1261, 559, 3394, 6199, 538, 8956, 540, 1010, 8906, 538, 3167, 3165, 5778, 31850, 5735, 543, 2623, 1500, 693, 519, 2480, 23774, 338, 4659, 540, 7909, 2762, 563, 9743, 3482, 540, 7909, 2762, 563, 5319, 1444, 1315, 8693, 1315, 16186, 454, 293, 3306, 4248, 282, 536, 5460, 641, 601, 20723, 269, 23427, 267, 9053, 15017, 21026, 3013, 281, 8835, 16935, 563, 23917, 1315, 13379, 1315, 6520, 454, 300, 4405, 640, 281, 700, 332, 1109, 286, 1109, 2039, 7790, 910, 7790, 4699, 454, 16655, 3259, 2433, 476, 1704, 269, 276, 4699, 570, 299, 5256, 270, 684, 16303, 539, 282, 630, 8269, 269, 476, 280, 6078, 3953, 994, 300, 6973, 1108, 1923, 5651, 874, 6248, 338, 454, 1607, 2249, 666, 581, 13747, 676, 2348, 519, 1739, 4999, 540, 3197, 281, 3982, 15429, 540, 6960, 20119, 2630, 2960, 693, 3490, 540, 10739, 282, 1560, 5835, 543, 10859, 20675, 331, 1075, 550, 538, 2713, 15013, 282, 1309, 644, 531, 27129, 1279, 543, 5386, 267, 3152, 982, 476, 736, 260, 540, 700, 12788, 630, 26319, 689, 519, 9133, 540, 519, 454, 338, 333, 719, 547, 519, 17911, 1439, 540, 519, 1387, 1922, 514, 3490, 264, 538, 16856, 15013, 282, 3167, 11166, 1418, 630, 292, 7495, 3738, 13942, 8653, 1360, 1279, 630, 24992, 476, 274, 269, 276, 543, 476, 275, 1984, 1047, 6948, 693, 476, 1839, 4113, 595, 264, 609, 2212, 25698, 1101, 5123, 540, 3476, 8653, 982, 2034, 2212, 24308, 5123, 538, 1312, 28486, 630, 8269, 269, 476, 280, 6078, 3953, 1916, 29995, 1336, 538, 13735, 803, 20760, 9249, 267, 7768, 6140, 540, 519, 6371, 623, 5684, 531, 636, 1065, 839, 267, 7313, 19687, 269, 12769, 2720, 5631, 538, 3043, 1216, 267, 855, 849, 538, 2127, 2282, 519, 1476, 26475, 540, 3109, 1216, 8933, 609, 519, 8835, 553, 13478, 565, 574, 383, 369, 525, 8151, 689, 1970, 547, 5420, 19428, 269, 16522, 8084, 609, 519, 2249, 540, 661, 3394, 10458, 807, 267, 717, 2096, 2254, 639, 267, 519, 3284, 614, 517, 582, 573, 3474, 1986, 517, 582, 639, 814, 655, 8643, 543, 519, 3167, 552, 601, 5082, 5268, 11501, 3167, 639, 538, 519, 13735, 803, 20760, 9249, 630, 8269, 269, 476, 280, 6078, 3953, 1916, 16908, 4783, 543, 20282, 2623, 454, 300, 4405, 640, 1923, 3115, 3174, 1923, 1975, 27681, 1923, 28096, 1923, 674, 1815, 1495, 640, 1923, 30038, 15611, 454, 306, 29229, 267, 808, 10422, 1421, 808, 269, 2098, 10224, 517, 543, 595, 269, 30532, 22513, 663, 525, 267, 476, 1001, 274, 269, 5565, 1007, 2249, 543, 1007, 24848, 639, 540, 547, 582, 1117, 4858, 16408, 1506, 16647, 558, 639, 3167, 5679, 604, 1030, 8460, 630, 294, 2096, 2254, 6134, 525, 267, 14523, 641, 558, 13160, 264, 689, 519, 3844, 8835, 543, 9270, 17640, 547, 519, 4720, 540, 513, 1395, 2684, 553, 545, 3167, 1418, 11166, 269, 25089, 12399, 476, 27628, 281, 272, 268, 4097, 269, 630, 8269, 269, 476, 280, 6078, 3953, 994, 296, 30002, 4414, 5903, 21073, 630, 8269, 269, 476, 11820, 31256, 994, 290, 3951, 2464, 630, 8269, 269, 476, 280, 6078, 5655, 994, 1320, 805, 547, 3425, 454, 13349, 4408, 26239, 11618, 18404, 29440, 303, 1042, 2209, 292, 20799, 16464, 1108, 11847, 3174, 300, 4405, 640, 8967, 27681, 293, 1815, 1495, 640, 292, 1375, 338, 292, 1375, 1646, 454, 27066, 288, 638, 20628, 288, 638, 20628, 9043, 1805, 23230, 7049, 7497, 2704, 548, 548, 12451, 15463, 527, 1464, 291, 1047, 1162, 3682, 22422, 22709, 7503, 454, 15307, 23660, 540, 930, 3601, 1759, 593, 3631, 454, 303, 17222, 21925, 4763, 4994, 630, 8269, 269, 476, 279, 2764, 4962, 454, 284, 476, 271, 269, 4335, 272, 1496, 4462, 21348, 267, 689, 476, 271, 269, 276, 815, 1970, 547, 476, 273, 269, 271, 815, 1164, 14073, 29074, 14198, 3259, 27954, 281, 513, 284, 271, 269, 19740, 8660, 630, 271, 269, 9826, 3199, 910, 476, 271, 269, 25484, 5655, 1070, 536, 284, 274, 269, 1321, 630, 273, 269, 11463, 910, 476, 274, 269, 1789, 1070, 1759, 593, 782, 700, 29949, 9193, 585, 713, 1560, 3337, 630, 8269, 269, 476, 280, 3953, 3393, 454, 307, 13116, 5426, 630, 8269, 269, 476, 7597, 273, 4281, 454, 2567, 476, 274, 269, 272, 13008, 271, 269, 275, 694, 282, 9122, 593, 2450, 543, 512, 5268, 338, 540, 14191, 14077, 454, 4910, 559, 1466, 630, 8269, 269, 476, 7597, 273, 4281, 454, 309, 592, 1676, 1464, 630, 8269, 269, 476, 6795, 272, 7871, 454, 2567, 8899, 13438, 630, 1015, 540, 476, 1911, 264, 1547, 0, 29994, 5493, 32347, 3594, 454, 763, 18366, 1063, 5840, 543, 21157, 763, 21157, 268, 29994, 4655, 568, 9247, 711, 513, 3909, 835, 267, 855, 513, 4339, 585, 2244, 543, 519, 2924, 543, 5191, 540, 519, 269, 5131, 5493, 32347, 4574, 267, 3594, 267, 543, 1382, 4574, 1452, 2164, 616, 15044, 676, 1034, 4143, 1101, 630, 17213, 539, 3406, 264, 1411, 949, 849, 4990, 891, 676, 2681, 12773, 610, 269, 5840, 1107, 21157, 18366, 4985, 20290, 1079, 5756, 723, 5293, 2094, 519, 10131, 540, 519, 18303, 910, 24752, 16395, 267, 811, 952, 649, 1293, 519, 563, 29994, 543, 21157, 901, 3194, 7433, 5840, 543, 21157, 543, 824, 476, 8618, 267, 1822, 266, 2165, 4574, 267, 2852, 1557, 1806, 543, 1863, 3594, 616, 2139, 1631, 593, 269, 5840, 5493, 32347, 4655, 1557, 670, 26196, 267, 543, 2565, 3656, 3069, 9608, 2798, 2904, 723, 2919, 519, 2009, 8423, 553, 28104, 5361, 4308, 543, 4688, 3860, 2093, 1294, 811, 563, 29994, 5493, 32347, 3594, 454, 29994, 543, 21157, 901, 4828, 5840, 543, 21157, 543, 824, 476, 8618, 267, 1822, 266, 2165, 4574, 267, 2852, 1557, 1806, 543, 1863, 3594, 616, 2139, 1631, 593, 5623, 32487, 1260, 269, 3778, 540, 519, 12910, 21157, 7316, 1705, 519, 2165, 21157, 22132, 689, 286, 1215, 1705, 519, 1158, 543, 519, 5939, 1205, 883, 519, 4356, 540, 10912, 519, 2244, 540, 5840, 269, 4828, 593, 568, 5361, 281, 1863, 1806, 540, 3594, 267, 1382, 543, 2165, 4574, 6201, 540, 568, 5361, 1557, 3584, 267, 2055, 543, 5098, 2893, 622, 906, 269, 10749, 3436, 18303, 6261, 531, 652, 15687, 1004, 917, 602, 5840, 543, 21157, 616, 8165, 585, 602, 2244, 634, 18303, 6261, 531, 652, 15687, 4655, 568, 10838, 519, 13074, 543, 269, 1772, 513, 5565, 268, 13750, 8827, 630, 29994, 543, 21157, 264, 606, 20504, 762, 8827, 547, 519, 18303, 6261, 531, 652, 15687, 18366, 563, 17138, 281, 1215, 1281, 5840, 6261, 531, 32347, 18366, 1860, 2078, 1063, 7887, 5716, 540, 519, 1158, 286, 4985, 901, 10763, 1557, 538, 6214, 11828, 519, 269, 16179, 5840, 267, 21157, 543, 13458, 281, 10749, 593, 8835, 1260, 17676, 15562, 7709, 303, 5058, 593, 11727, 9753, 269, 3367, 713, 15215, 4828, 543, 936, 476, 10436, 267, 1822, 824, 1382, 6054, 5840, 543, 21157, 634, 17136, 2986, 5840, 543, 21157, 769, 476, 1960, 274, 267, 538, 14642, 5979, 267, 16157, 513, 8978, 269, 5131, 568, 5361, 328, 1790, 531, 652, 15687, 4655, 4574, 267, 3594, 267, 543, 1382, 4574, 21157, 5840, 2782, 3778, 10749, 13912, 281, 476, 278, 3718, 24764, 2433, 476, 31620, 275, 1913, 630, 1015, 3817, 264, 16200, 10749, 563, 280, 270, 275, 270, 1960, 276, 3367, 5840, 267, 21157, 543, 13458, 676, 2549, 657, 23520, 676, 2549, 657, 23520, 585, 1863, 609, 513, 476, 1789, 1554, 1863, 4693, 3367, 26496, 593, 519, 1357, 267, 27317, 267, 21236, 543, 15692, 269, 9745, 476, 736, 267, 278, 3583, 568, 5840, 1369, 519, 5682, 7412, 476, 2420, 267, 5881, 273, 2882, 519, 543, 519, 3703, 14194, 3439, 1229, 1858, 799, 3769, 2413, 1554, 5840, 729, 3957, 13495, 2218, 21157, 269, 5840, 18025, 531, 652, 15687, 18366, 1557, 1603, 3028, 267, 2688, 5840, 18025, 531, 652, 15687, 18366, 4574, 267, 2165, 4574, 267, 1863, 5840, 18025, 531, 652, 15687, 18366, 5439, 267, 1382, 4574, 267, 948, 269, 476, 278, 270, 2764, 270, 1001, 275, 5840, 729, 20077, 856, 540, 21157, 585, 7642, 609, 948, 689, 519, 3703, 538, 519, 3735, 476, 3707, 271, 338, 1175, 899, 1250, 1378, 4332, 2897, 540, 9031, 729, 20077, 856, 540, 3127, 269, 10749, 910, 568, 5361, 8957, 5493, 32347, 4655, 1557, 543, 5493, 32347, 547, 519, 6663, 547, 7198, 621, 568, 513, 2027, 3084, 6392, 538, 5493, 32347, 4655, 476, 16348, 3817, 563, 32487, 5527, 267, 5840, 267, 21157, 1548, 3619, 525, 24296, 4660, 1977, 2923, 3795, 540, 519, 5840, 6261, 531, 32347, 4655, 568, 811, 1256, 26370, 982, 13915, 3409, 269, 589, 14271, 18462, 540, 519, 5840, 18025, 531, 32347, 18366, 634, 1739, 568, 513, 1360, 2110, 5348, 18462, 540, 519, 1686, 540, 713, 4655 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 855, 849, 513, 29287, 10584, 543, 19191, 267, 14957, 711, 1152, 585, 519, 1439, 540, 8474, 855, 849, 585, 3160, 2924, 585, 782, 267, 28000, 540, 5198, 610, 4008, 563, 20084, 781, 10020, 538, 519, 3690, 520, 23007, 32013, 11780, 543, 4706, 589, 2513, 819, 454, 763, 2136, 8003, 729, 7184, 11251, 538, 519, 1098, 520, 23007, 10553, 4123, 781, 2577, 5209, 269, 25867, 4872, 2968, 32387, 540, 713, 1989, 574, 16450, 912, 763, 5800, 20079, 454, 299, 1853, 23051, 267, 30290, 267, 543, 5507, 9927, 883, 2101, 16788, 7722, 538, 519, 1098, 520, 23007, 10553, 4123, 269, 634, 9635, 602, 546, 18088, 543, 30774, 689, 891, 16788, 941, 3743, 585, 519, 7142, 3560, 540, 606, 6059, 1614, 2929, 3979, 2367, 267, 2021, 267, 543, 1453, 547, 24914, 538, 519, 17113, 269, 901, 4123, 729, 811, 982, 1175, 1870, 282, 621, 729, 513, 13654, 3693, 540, 6628, 779, 476, 1240, 628, 10601, 4346, 267, 609, 3003, 4872, 543, 9922, 30364, 689, 519, 11375, 3861, 19338, 540, 20665, 2043, 563, 763, 5837, 543, 2804, 5958, 540, 3703, 2486, 729, 795, 565, 1540, 676, 20552, 1235, 945, 5249, 24091, 1996, 519, 10553, 4123, 269, 6206, 5515, 3769, 744, 5055, 644, 1695, 4982, 10730, 267, 8385, 689, 1018, 568, 1631, 13280, 267, 4982, 10730, 781, 26249, 267, 834, 763, 21624, 21931, 540, 519, 5020, 540, 744, 5055, 644, 1695, 4982, 10730, 2437, 3370, 538, 476, 9965, 280, 267, 3177, 513, 8903, 20250, 2272, 540, 519, 3520, 5558, 540, 17760, 29713, 543, 6283, 2066, 519, 9533, 269, 3571, 12591, 543, 18531, 5129, 513, 1713, 1909, 538, 7432, 3703, 1857, 6644, 1996, 519, 10553, 4123, 563, 8601, 4187, 4550, 20552, 1235, 538, 14618, 543, 1739, 20552, 626, 3646, 267, 538, 476, 8146, 274, 267, 519, 26913, 589, 2513, 819, 2920, 6825, 513, 1713, 24659, 4090, 267, 3056, 547, 519, 31414, 540, 5176, 476, 8517, 267, 1822, 20665, 20338, 2429, 519, 3703, 10125, 269, 6215, 2314, 538, 519, 10125, 630, 1410, 6984, 2127, 12199, 676, 519, 5101, 3127, 7577, 264, 941, 711, 15685, 2394, 476, 8146, 279, 1107, 543, 10553, 268, 14935, 267, 2864, 982, 519, 10437, 267, 4607, 13180, 267, 20515, 519, 27402, 540, 1082, 7293, 17536, 1182, 602, 941, 1869, 8185, 11342, 585, 18005, 20665, 1004, 267, 543, 741, 11937, 538, 2486, 563, 763, 26711, 2451, 676, 519, 1098, 520, 23007, 10553, 4123, 616, 1869, 27621, 762, 269, 23305, 31716, 267, 10168, 267, 543, 8739, 20300, 13103, 666, 782, 10250, 741, 5072, 1394, 547, 519, 10553, 4123, 269, 2155, 13579, 908, 519, 4139, 26913, 3816, 27320, 4303, 3884, 1405, 1175, 827, 19551, 519, 2250, 855, 1620, 922, 6286, 593, 519, 1459, 543, 2104, 563, 288, 1188, 852, 1194, 3101, 519, 32012, 885, 568, 519, 1101, 1900, 538, 1620, 1699, 2518, 20817, 543, 31716, 269, 898, 19595, 721, 540, 519, 19178, 540, 15746, 543, 21440, 543, 3091, 4126, 585, 513, 1158, 602, 23594, 7862, 267, 543, 1480, 2924, 267, 998, 14223, 267, 5859, 532, 543, 4187, 563, 763, 23543, 540, 19525, 543, 519, 10553, 4123, 1869, 8915, 538, 2221, 781, 2486, 269, 2382, 6627, 10168, 267, 11475, 267, 12886, 267, 543, 11528, 7130, 616, 11342, 267, 3226, 585, 4563, 2021, 6849, 11528, 543, 14375, 7130, 538, 6935, 547, 1312, 5198, 543, 4008, 269, 4518, 17541, 267, 607, 2890, 6523, 916, 540, 2486, 267, 616, 711, 4761, 563, 2414, 5963, 22299, 4550, 268, 2350, 1143, 3741, 538, 519, 9036, 267, 4213, 1590, 1101, 21028, 519, 3140, 2796, 269, 898, 781, 711, 827, 11925, 543, 1357, 21577, 267, 855, 9591, 513, 4514, 4640, 267, 1620, 543, 5807, 606, 1604, 1141, 9698, 568, 14063, 563, 12749, 9669, 547, 5917, 11229, 543, 19598, 542, 24054, 585, 4563, 4658, 538, 519, 31071, 454, 14807, 622, 543, 14780, 1047, 17607, 454, 8139, 543, 2369, 2358, 11528, 10168, 568, 519, 5748, 540, 2870, 606, 8537, 9036, 269, 14146, 619, 1058, 4225, 3872, 3292, 602, 2263, 4563, 1686, 267, 519, 11972, 1764, 540, 519, 10553, 4123, 267, 543, 519, 2413, 6377, 2591, 5185, 676, 519, 4563, 2146, 269, 634, 32641, 693, 4518, 538, 519, 5177, 1867, 630, 1708, 273, 264, 1336, 602, 476, 7367, 260, 540, 1004, 1185, 14754, 10168, 693, 960, 267, 543, 476, 10619, 260, 4555, 10168, 729, 513, 1966, 269, 4197, 891, 3140, 543, 1459, 2591, 568, 11358, 585, 5935, 513, 811, 12581, 9036, 563, 12148, 13784, 3587, 7298, 950, 649, 3343, 547, 1174, 267, 2463, 543, 8661, 4529, 267, 18517, 267, 543, 10080, 1169, 1367, 6770, 883, 519, 29683, 269, 5029, 1944, 5812, 2621, 267, 971, 607, 11925, 267, 5717, 3142, 1004, 1927, 2488, 606, 4316, 585, 519, 13539, 547, 2671, 1946, 10014, 568, 1271, 547, 873, 269, 1411, 666, 2671, 707, 4763, 3646, 267, 3853, 267, 9072, 267, 10781, 543, 5075, 547, 1628, 3972, 543, 4656, 540, 875, 596, 616, 8380, 3609, 883, 2259, 563, 1103, 5477, 670, 3931, 13756, 454, 11847, 19948, 568, 513, 2312, 13525, 540, 513, 2754, 781, 7029, 547, 4763, 269, 898, 781, 711, 1175, 827, 17849, 811, 4563, 5520, 267, 855, 827, 5807, 606, 12581, 1604, 1141, 789, 666, 3251, 543, 8593, 899, 789, 4866, 267, 693, 1022, 1377, 269, 4340, 547, 513, 21025, 514, 8124, 1299, 7577, 1867, 630, 1708, 271, 1070, 3549, 609, 811, 3309, 6887, 616, 476, 3374, 260, 811, 2693, 547, 723, 1657, 8584, 2071, 7443, 19114, 269, 901, 2982, 602, 3309, 9739, 5749, 1405, 1175, 606, 5683, 16122, 855, 849, 513, 1870, 835, 269, 670, 3931, 8440, 1058, 849, 581, 8036, 593, 12886, 267, 543, 4371, 18177, 585, 3664, 267, 547, 2061, 11475, 543, 10054, 689, 12018, 19684, 3646, 563, 2690, 4563, 5520, 267, 519, 9746, 21117, 666, 3006, 2408, 811, 607, 513, 11064, 543, 1305, 540, 9465, 547, 7753, 269, 17553, 909, 13384, 11208, 3292, 1141, 4810, 4648, 13686, 543, 1489, 4563, 5520, 267, 538, 2081, 789, 723, 2944, 585, 6519, 5520, 13840, 267, 666, 581, 30140, 6225, 269, 6270, 3292, 666, 24772, 4876, 24551, 543, 2327, 602, 4563, 5520, 723, 513, 2312, 2619, 547, 5718, 5107, 267, 543, 2832, 547, 23542, 880, 14375, 543, 11528, 7496, 602, 513, 3668, 540, 13384, 11208, 585, 4563, 1004, 814, 2813, 936, 5756, 563, 15411, 932, 2335, 1564, 585, 27561, 26521, 454, 11577, 19303, 267, 19890, 267, 568, 1869, 513, 22880, 4641, 538, 1082, 28737, 269, 898, 781, 16122, 585, 14540, 547, 723, 2312, 267, 14804, 267, 543, 1875, 3146, 2145, 328, 2218, 1949, 538, 1747, 585, 8989, 7292, 9186, 610, 1022, 25641, 13685, 269, 23496, 4563, 1004, 723, 2922, 9055, 547, 2232, 891, 2833, 568, 711, 1175, 2556, 22924, 781, 14849, 563, 8266, 523, 267, 3973, 8048, 609, 11059, 454, 300, 699, 569, 23831, 606, 1274, 3884, 1406, 2614, 282, 621, 779, 519, 1671, 5224, 3527, 602, 5963, 1293, 269, 26787, 6131, 15473, 267, 971, 607, 4884, 10689, 19771, 610, 5955, 21448, 267, 585, 4563, 5520, 547, 2671, 741, 2984, 267, 12194, 267, 543, 7840, 568, 11358, 269, 1548, 779, 1256, 811, 4105, 568, 519, 7029, 547, 15357, 532, 1483, 1689, 1759, 593, 891, 5717, 267, 4180, 4145, 616, 4553, 909, 676, 5718, 563, 2690, 613, 645, 4637, 609, 4563, 7991, 20492, 454, 12148, 8223, 14340, 689, 5698, 269, 1635, 26936, 609, 4563, 2146, 21445, 14540, 267, 3549, 666, 15052, 741, 1620, 540, 519, 15491, 2591, 519, 4563, 2146, 4044, 919, 269, 5047, 267, 891, 24816, 666, 3391, 4213, 538, 7598, 6209, 267, 9758, 19260, 538, 741, 1935, 547, 13784, 543, 9698, 538, 19684, 543, 8887, 1464, 563, 763, 4139, 26913, 3816, 27320, 4303, 593, 519, 476, 2537, 6113, 540, 4864, 3884, 1405, 1175, 513, 4266, 593, 513, 11706, 22924, 779, 513, 22298, 16079, 540, 938, 7104, 2250, 269, 898, 781, 811, 982, 513, 4090, 540, 8086, 282, 621, 781, 513, 5587, 542, 1289, 585, 23801, 2962, 269, 3776, 3318, 5054, 723, 519, 1761, 547, 581, 3532, 8069, 540, 7004, 267, 30176, 3741, 540, 14619, 267, 8508, 519, 8552, 540, 1480, 4763, 267, 543, 4180, 519, 2250, 779, 10752, 27464, 938, 1699, 543, 2104, 3527, 269, 0, 2691, 596, 610, 2576, 596, 2648, 23119, 689, 513, 2295, 4323, 621, 1522, 711, 1413, 899, 621, 1281, 538, 519, 9413, 281, 1565, 519, 2589, 666, 948, 4688, 2729, 454, 2467, 616, 1906, 1919, 811, 32049, 982, 519, 19175, 540, 2348, 513, 2295, 4323, 269, 1809, 5103, 1373, 835, 540, 519, 3056, 3123, 540, 2669, 538, 519, 5177, 267, 972, 568, 513, 5458, 2179, 540, 3765, 24483, 1472, 1018, 713, 2783, 568, 267, 1018, 922, 2589, 616, 543, 1018, 596, 1058, 798, 952, 596, 610, 2576, 1472, 596, 1522, 581, 2348, 835, 563, 29587, 543, 30057, 2068, 267, 849, 1634, 607, 9025, 2068, 630, 290, 13748, 1070, 616, 3743, 585, 513, 10116, 540, 782, 7972, 538, 519, 5177, 267, 8375, 547, 519, 1297, 835, 2014, 540, 2038, 2669, 538, 27226, 2127, 563, 3719, 2295, 6285, 616, 849, 267, 538, 1034, 2665, 267, 1521, 762, 269, 4934, 540, 476, 3199, 267, 1822, 6413, 23504, 538, 4789, 1142, 1032, 267, 5722, 856, 540, 4557, 1004, 7639, 267, 543, 602, 1297, 14380, 547, 811, 982, 8370, 538, 4557, 585, 1346, 602, 3914, 6413, 543, 4309, 519, 3617, 2126, 563, 1607, 1797, 6616, 519, 2589, 540, 513, 2295, 4323, 543, 6616, 1018, 547, 798, 950, 596, 5544, 873, 568, 513, 2629, 1900, 538, 4180, 596, 610, 707, 6068, 3283, 616, 2111, 547, 1118, 513, 6051, 563, 27269, 1004, 1810, 1406, 29311, 789, 2461, 2348, 513, 2295, 4323, 267, 2901, 1317, 789, 1810, 1406, 21028, 519, 2038, 4191, 267, 610, 1317, 789, 1810, 1406, 2015, 873, 4049, 2614, 269, 1809, 513, 2295, 4323, 568, 606, 6595, 267, 543, 621, 779, 2760, 1932, 2038, 547, 1289, 476, 15886, 23178, 19162, 13017, 518, 267, 6315, 6048, 543, 2817, 11916, 10615, 585, 9839, 8376, 267, 23244, 4789, 454, 763, 1034, 1271, 3364, 547, 3314, 952, 596, 14353, 2576, 568, 7092, 689, 513, 2295, 4323, 568, 547, 1289, 476, 15886, 5612, 1107, 602, 1259, 596, 3580, 1205, 519, 1655, 1416, 689, 8036, 4648, 607, 4166, 607, 2009, 269, 634, 19692, 596, 1205, 1416, 519, 1732, 519, 1279, 3856, 6364, 568, 2693, 547, 581, 269, 8550, 8488, 10912, 476, 15886, 1247, 596, 7227, 547, 1294, 952, 519, 2589, 705, 622, 281, 1169, 8792, 12523, 563, 2005, 779, 849, 1271, 547, 29311, 602, 2295, 6285, 798, 711, 2141, 1413, 899, 789, 798, 538, 519, 9413, 267, 609, 2576, 9991, 547, 519, 2666, 804, 583, 4221, 741, 9221, 563, 4407, 519, 1034, 1455, 10835, 568, 9221, 1928, 267, 2589, 666, 4268, 689, 1268, 547, 1268, 267, 1519, 26032, 540, 7362, 267, 4743, 1769, 20243, 610, 546, 714, 5414, 267, 513, 4743, 540, 11552, 848, 610, 606, 11566, 4160, 2147, 547, 513, 11784, 4323, 267, 543, 4743, 610, 1373, 7210, 563, 6944, 9009, 547, 1018, 1082, 1004, 3494, 267, 2295, 4323, 1928, 3085, 1406, 2141, 1745, 4049, 267, 609, 1034, 1004, 7680, 9793, 9636, 13745, 609, 513, 14815, 540, 2604, 267, 3389, 1465, 267, 9395, 1145, 610, 17065, 4506, 2066, 519, 9221, 563, 11514, 1260, 3228, 949, 711, 581, 2199, 2213, 267, 609, 1928, 3006, 10825, 689, 519, 9221, 547, 519, 7916, 630, 17141, 519, 2451, 855, 621, 666, 1860, 1312, 1070, 10265, 267, 8405, 267, 1394, 543, 5580, 17737, 1107, 3006, 519, 1928, 568, 538, 835, 540, 891, 824, 2127, 543, 711, 538, 519, 9221, 269, 1744, 17369, 267, 2199, 2213, 1928, 267, 593, 519, 824, 1688, 267, 568, 1447, 2693, 547, 581, 13487, 563, 2005, 568, 7357, 2009, 602, 513, 2295, 4323, 3411, 19907, 786, 2611, 6857, 267, 2111, 547, 13236, 267, 1847, 543, 3717, 267, 543, 711, 7985, 689, 1022, 18476, 2564, 2152, 971, 607, 11702, 269, 1306, 891, 2589, 798, 711, 5447, 609, 519, 8305, 9189, 2938, 538, 8874, 267, 972, 666, 581, 19385, 766, 1107, 610, 1256, 4606, 540, 16203, 543, 17847, 1107, 2404, 609, 10912, 585, 948, 563, 8448, 338, 616, 15658, 1042, 689, 10912, 476, 15886, 1317, 789, 616, 31464, 547, 14156, 3398, 602, 789, 610, 513, 6068, 835, 616, 2348, 513, 2295, 4323, 269, 1809, 2760, 968, 342, 7159, 543, 1294, 892, 1107, 1118, 519, 1289, 543, 596, 786, 2333, 519, 4960, 540, 6051, 563, 22137, 723, 3254, 602, 2367, 616, 811, 2693, 547, 21028, 602, 789, 616, 2348, 513, 2295, 4323, 267, 609, 2021, 811, 2693, 547, 14962, 519, 2589, 269, 1656, 1247, 2021, 616, 3622, 1447, 11630, 547, 2295, 6285, 267, 741, 1981, 4679, 1310, 519, 22797, 563, 763, 1981, 540, 2348, 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 ]
[ 581, 8120, 547, 23265, 952, 782, 540, 519, 2754, 779, 7221, 941, 5277, 730, 543, 782, 540, 519, 2754, 779, 22440, 941, 6976, 1055, 563, 1692, 1684, 1411, 12433, 8779, 2986, 24054, 769, 654, 3722, 290, 888, 763, 654, 3722, 290, 568, 7229, 676, 14921, 519, 1942, 540, 1142, 3854, 2707, 630, 1372, 23336, 543, 9698, 264, 676, 922, 4143, 2597, 676, 2344, 1871, 267, 543, 1287, 4946, 519, 2472, 1927, 547, 4137, 856, 519, 2698, 1942, 269, 13317, 10697, 14499, 3631, 630, 290, 4338, 300, 264, 666, 581, 1031, 547, 5173, 519, 1942, 540, 9698, 563, 1432, 3657, 634, 8422, 10613, 1677, 6480, 1493, 8779, 2986, 24054, 888, 763, 1942, 540, 9698, 666, 581, 6059, 1210, 1614, 2409, 269, 13317, 10697, 14499, 267, 26318, 10958, 2203, 267, 543, 6125, 6556, 7132, 1981, 14167, 616, 519, 1614, 3631, 563, 3674, 26480, 300, 8779, 2986, 24054, 888, 21798, 540, 9698, 568, 7229, 676, 1210, 26480, 300, 267, 799, 568, 513, 4542, 585, 12719, 519, 2132, 513, 2754, 17188, 547, 9698, 9520, 269, 29435, 754, 1790, 11691, 3549, 666, 5173, 519, 1942, 540, 9698, 1210, 519, 26318, 3854, 1436, 2203, 563, 1692, 1684, 1411, 12433, 26480, 300, 888, 22479, 1388, 10697, 14499, 3631, 5173, 519, 4397, 2132, 593, 513, 3354, 1759, 593, 922, 1377, 540, 1981, 1210, 513, 4542, 269, 13317, 10697, 14499, 3631, 616, 1759, 593, 519, 1981, 1863, 2557, 7132, 12498, 2053, 519, 3017, 1063, 519, 2132, 593, 519, 2344, 543, 519, 1981, 1863, 2557, 563, 1432, 3657, 6201, 2986, 17721, 24054, 888, 9743, 6627, 9520, 267, 971, 607, 8994, 7482, 267, 6142, 3549, 267, 543, 27404, 7482, 267, 607, 1134, 607, 1164, 5991, 564, 2914, 2180, 2043, 267, 3565, 547, 891, 10909, 269, 4563, 7723, 267, 918, 2129, 331, 6199, 26689, 6665, 21662, 1299, 3213, 1421, 543, 1866, 616, 1806, 540, 4357, 9698, 10909, 269, 634, 2961, 569, 548, 6828, 267, 918, 298, 305, 267, 543, 918, 298, 305, 616, 1851, 519, 3549, 563, 4692, 589, 17721, 7577, 5620, 24054, 888, 32715, 2465, 6006, 3681, 616, 1419, 6035, 676, 4357, 3549, 607, 9698, 13180, 269, 1879, 519, 2754, 779, 6006, 3902, 3507, 919, 543, 519, 2754, 1281, 1134, 267, 5520, 945, 3180, 2754, 8843, 666, 2333, 741, 1378, 5763, 676, 16706, 543, 9513, 741, 8843, 563, 8005, 3657, 634, 5440, 476, 1015, 17721, 24054, 674, 8787, 769, 634, 2622, 888, 14937, 7723, 6828, 5549, 269, 568, 513, 2518, 6205, 538, 4357, 9698, 543, 5092, 2359, 563, 18823, 269, 568, 513, 2518, 5092, 6109, 609, 513, 1445, 593, 4357, 9698, 563, 18823, 269, 568, 513, 918, 298, 305, 1299, 3213, 1421, 5549, 269, 2754, 563, 288, 570, 22333, 13317, 5092, 563, 299, 9448, 2782, 7921, 623, 4532, 639, 563, 763, 3026, 21310, 3455, 645, 9007, 6828, 20941, 568, 513, 4357, 2754, 563, 288, 11450, 609, 22008, 290, 13317, 16890, 563, 1692, 1684, 17721, 14992, 17136, 24054, 888, 763, 8843, 540, 4357, 3549, 616, 711, 7396, 593, 1857, 15377, 543, 616, 711, 9783, 998, 606, 3355, 1857, 5356, 630, 7709, 302, 1040, 17721, 3549, 949, 3390, 6006, 543, 723, 23265, 267, 855, 741, 8843, 616, 711, 7396, 593, 1857, 15377, 269, 17721, 3549, 798, 711, 723, 547, 16783, 609, 519, 1530, 15247, 543, 16510, 8189, 779, 630, 306, 4488, 264, 7453, 25937, 4170, 563, 1432, 1772, 634, 8779, 2986, 24054, 1280, 589, 17721, 7577, 888, 22479, 1388, 2667, 564, 623, 878, 532, 7844, 630, 290, 4338, 300, 264, 26480, 300, 4542, 2982, 602, 519, 2132, 540, 513, 3354, 568, 3160, 547, 519, 1981, 6954, 2132, 7132, 513, 1981, 14167, 267, 1759, 593, 519, 3354, 779, 12498, 269, 4635, 519, 2872, 3328, 12498, 267, 649, 7447, 519, 6109, 779, 12498, 269, 0, 302, 18925, 3557, 2160, 12207, 5453, 520, 22319, 20570, 547, 21561, 962, 3658, 9802, 476, 276, 267, 476, 1708, 272, 454, 12867, 693, 20274, 3557, 2160, 3366, 676, 9149, 30389, 25463, 723, 4362, 543, 804, 19861, 519, 19248, 8104, 307, 272, 5444, 538, 519, 2442, 9291, 902, 10568, 3099, 269, 901, 5444, 6602, 1223, 1611, 3677, 11729, 585, 10568, 12696, 267, 519, 3173, 1767, 563, 763, 9241, 1673, 4593, 2642, 5444, 267, 2808, 513, 7508, 3095, 538, 10568, 781, 4719, 11015, 267, 786, 5512, 3173, 547, 5386, 2389, 2317, 7693, 15657, 585, 1808, 946, 281, 12418, 21737, 267, 10286, 26209, 267, 610, 2110, 5498, 1783, 10568, 269, 9453, 713, 8772, 4719, 4062, 267, 519, 824, 1614, 4773, 941, 711, 2312, 563, 291, 783, 26928, 10568, 568, 1312, 1178, 7458, 676, 12418, 543, 19122, 585, 10286, 267, 543, 513, 1713, 4161, 585, 12696, 609, 12242, 26928, 10568, 568, 14045, 950, 547, 4894, 12418, 689, 513, 10568, 27892, 269, 13013, 308, 3173, 723, 4362, 4505, 602, 519, 6099, 3942, 585, 9427, 12418, 689, 513, 10568, 27892, 568, 1991, 547, 519, 1101, 17860, 6565, 269, 3400, 4506, 2250, 519, 1101, 17860, 6565, 8519, 10286, 6556, 585, 12696, 269, 634, 19248, 8104, 307, 272, 5444, 568, 835, 540, 1896, 6090, 799, 1852, 519, 5912, 540, 513, 10568, 2030, 689, 922, 3543, 894, 1533, 547, 922, 10285, 2208, 3942, 269, 634, 6602, 1223, 948, 538, 9960, 1007, 8677, 585, 9542, 547, 1808, 2359, 1949, 267, 1519, 519, 12242, 26928, 1062, 563, 2690, 811, 3877, 267, 1224, 519, 2376, 538, 519, 13013, 308, 5240, 543, 9012, 563, 2791, 1522, 849, 899, 912, 268, 12824, 13028, 22319, 26472, 681, 755, 674, 25193, 25124, 538, 5453, 520, 454, 268, 16505, 10843, 3194, 4855, 338, 2637, 525, 547, 30205, 28628, 5453, 520, 6601, 5338, 454, 268, 18335, 3689, 538, 519, 2622, 547, 10088, 557, 667, 3754, 570, 26985, 670, 289, 275, 10378, 5453, 520, 454, 763, 30495, 4437, 1774, 577, 22352, 568, 513, 12353, 20394, 540, 4959, 8150, 288, 267, 513, 1875, 16519, 17416, 3919, 269, 634, 25553, 308, 568, 7856, 585, 1863, 547, 936, 476, 2537, 267, 1822, 32224, 5001, 547, 1217, 873, 827, 519, 1883, 7835, 538, 19777, 31190, 267, 2523, 538, 6694, 24684, 269, 2659, 1489, 786, 948, 721, 538, 938, 5692, 547, 3049, 519, 1158, 609, 1702, 269, 1411, 666, 948, 676, 1810, 908, 607, 2370, 607, 1269, 1015, 563, 8450, 811, 4930, 912, 21158, 689, 15907, 519, 2622, 454, 268, 6167, 589, 2102, 2886, 18430, 14044, 13693, 725, 547, 7309, 1125, 12017, 518, 1325, 4582, 2747, 543, 5253, 3590, 26306, 454, 268, 20274, 3557, 2160, 12207, 5453, 520, 22319, 20570, 547, 21561, 962, 3658, 454, 268, 5530, 31698, 3689, 4400, 268, 26660, 13129, 32081, 540, 18171, 601, 18133, 454, 268, 15089, 517, 19153, 13363, 15867, 1186, 689, 674, 25193, 15302, 454, 268, 3690, 28193, 30495, 12752, 538, 9459, 3816, 1622, 853, 1737, 344, 6736, 12694, 267, 5530, 4855, 338, 454, 268, 3864, 8189, 5530, 31698, 15783, 585, 11982, 540, 1715, 2637, 5669, 9828, 543, 10261, 585, 1715, 8889, 454, 268, 3194, 4762, 8787, 10648, 23420, 7581, 753, 525, 14606, 540, 24768, 15724, 583, 1218, 19382, 676, 13639, 4112, 657, 1161, 454, 268, 23688, 656, 8575, 1125, 22319, 717, 1161, 1849, 1132, 593, 6601, 5338, 14568, 15867, 1186, 454, 24456, 6601, 5338, 11627, 725, 454, 268, 12207, 6513, 22500, 26850, 15510, 4635, 32073, 454, 268, 3194, 32672, 1023, 717, 3036, 298, 312, 19871, 570, 5281, 645, 7867, 8751, 10633, 21690, 454, 268, 12370, 2160, 12824, 8073, 1715, 22319, 3798, 1746, 15484, 4825, 1258, 7732, 1234, 18474, 710, 1359, 454, 268, 12824, 10812, 5510, 2389, 13759, 12186, 540, 570, 3201, 2894, 24975, 4446, 10275, 333, 1442, 719, 538, 19676, 454, 29771, 547, 25553, 308, 281, 0, 2421, 9291, 590, 748, 518, 267, 16592, 3427, 1686, 4116, 630, 1723, 14482, 12329, 609, 1576, 14704, 543, 16592, 3427, 2979, 8257, 2212, 25595, 918, 816, 518, 994, 763, 1739, 729, 8385, 3370, 538, 519, 12096, 476, 1708, 271, 20463, 728, 12139, 269, 9119, 540, 22640, 568, 606, 15834, 1528, 633, 1930, 547, 476, 1556, 628, 543, 476, 1321, 628, 3446, 1053, 563, 3383, 267, 596, 4076, 4956, 596, 1616, 547, 1305, 909, 513, 9111, 2443, 14222, 256, 1284, 723, 1175, 513, 1906, 2055, 281, 1215, 1419, 798, 596, 1616, 547, 2196, 12836, 286, 5808, 1058, 1205, 11221, 543, 875, 286, 1215, 798, 596, 1544, 547, 22945, 519, 786, 540, 519, 1004, 286, 1215, 2442, 1058, 513, 11134, 581, 547, 2744, 5604, 286, 1215, 786, 596, 8396, 519, 28112, 15967, 540, 519, 5354, 286, 9701, 10457, 945, 3111, 547, 3094, 513, 5354, 4283, 513, 2196, 11325, 9550, 286, 630, 289, 792, 538, 2247, 602, 513, 2196, 11325, 1522, 3046, 519, 9550, 540, 20908, 572, 968, 763, 10610, 892, 20764, 3120, 267, 855, 621, 1131, 2693, 849, 16173, 519, 6596, 2329, 540, 14062, 12493, 8094, 12385, 24136, 540, 22640, 814, 1044, 1071, 2389, 4381, 676, 22697, 267, 12206, 267, 16895, 267, 543, 2797, 3744, 538, 922, 5722, 4458, 14438, 607, 513, 20463, 728, 1528, 633, 267, 543, 621, 11438, 519, 29501, 540, 782, 540, 891, 267, 6313, 1514, 3903, 3069, 543, 12836, 267, 6041, 543, 12908, 787, 332, 663, 1359, 267, 1135, 1782, 267, 543, 21146, 12621, 269, 1284, 4076, 9250, 519, 1576, 609, 2055, 1472, 519, 22587, 540, 9111, 543, 519, 14619, 540, 12836, 267, 30010, 4207, 1589, 4773, 689, 14732, 11197, 29231, 543, 808, 650, 700, 788, 648, 609, 519, 15851, 7422, 540, 5981, 529, 632, 570, 665, 4302, 6807, 779, 968, 20779, 7100, 538, 3013, 892, 543, 6276, 23885, 779, 968, 24687, 593, 519, 13891, 919, 538, 519, 8549, 13482, 1848, 898, 779, 2523, 3078, 547, 581, 5329, 835, 3723, 16119, 12630, 538, 5313, 543, 1533, 12836, 1247, 6313, 519, 1279, 3856, 8658, 538, 799, 789, 2461, 9648, 563, 3080, 540, 519, 2101, 2591, 540, 4974, 11180, 12836, 6013, 538, 3067, 4328, 28056, 2623, 543, 5079, 269, 670, 17690, 543, 918, 3916, 320, 779, 968, 763, 9119, 540, 966, 7627, 543, 5082, 687, 892, 814, 930, 4245, 585, 721, 1934, 267, 607, 1281, 519, 960, 540, 26366, 996, 1488, 992, 267, 3627, 645, 11961, 327, 2378, 267, 543, 14639, 268, 28846, 632, 645, 867, 320, 269, 1403, 267, 607, 18582, 321, 731, 543, 590, 2660, 628, 11445, 924, 1131, 2995, 721, 267, 1100, 21146, 1062, 666, 2743, 782, 540, 938, 7355, 585, 14619, 538, 13359, 267, 875, 798, 649, 8399, 538, 5275, 513, 1062, 602, 24279, 519, 2547, 286, 0, 21615, 539, 4765, 7010, 19296, 616, 2838, 538, 513, 3099, 540, 6080, 1519, 2564, 2257, 267, 7082, 11418, 267, 5663, 2257, 267, 18229, 267, 16669, 2029, 543, 865, 593, 269, 2506, 5523, 4765, 7010, 7177, 568, 519, 2361, 540, 9013, 3457, 543, 6191, 602, 616, 1114, 689, 2757, 5904, 269, 2506, 5523, 4765, 1949, 616, 4646, 676, 10128, 3301, 4702, 609, 1875, 10687, 13459, 3457, 269, 1306, 606, 2506, 5523, 4765, 7010, 23910, 267, 596, 1131, 581, 3335, 4397, 547, 723, 1702, 827, 513, 2647, 2039, 540, 5752, 2645, 267, 31110, 25600, 543, 5665, 1949, 269, 1411, 991, 547, 1374, 267, 1020, 267, 3009, 267, 1449, 267, 3181, 1872, 543, 2936, 1062, 3301, 540, 11251, 3457, 543, 1949, 689, 2504, 547, 17293, 269, 1411, 1131, 581, 538, 5279, 540, 17265, 267, 7421, 543, 7393, 4398, 540, 1062, 2200, 269, 1411, 1131, 849, 2263, 267, 19472, 543, 11753, 1007, 1587, 6272, 269, 1403, 596, 6999, 547, 4283, 519, 2619, 540, 606, 2506, 5523, 4765, 7010, 23910, 267, 596, 1590, 581, 513, 2780, 2257, 610, 4702, 10927, 269, 11109, 2324, 1995, 538, 1646, 543, 30076, 593, 11251, 9072, 267, 5752, 1995, 538, 595, 10030, 267, 7850, 1702, 540, 3301, 12122, 2359, 2645, 267, 8193, 2553, 267, 7379, 10873, 267, 2542, 1085, 24136, 267, 543, 12319, 1983, 616, 16122, 585, 1967, 538, 713, 2361, 269, 30947, 3127, 13462, 2816, 572, 2131, 619, 609, 4143, 2816, 23761, 547, 948, 1628, 6209, 11678, 269, 1403, 596, 616, 3168, 585, 2816, 3255, 538, 2506, 5523, 4765, 7010, 7177, 267, 14202, 707, 8242, 16056, 547, 8940, 269, 3000, 3122, 785, 807, 2593, 543, 2760, 4413, 513, 2816, 10332, 585, 2506, 5523, 4765, 7010, 23910, 22868, 269, 0, 2005, 779, 6764, 6372, 1677, 1280, 1326, 1452, 9710, 337, 881, 15604, 23566, 338, 2334, 5620, 717, 821, 13560, 769, 16713, 3778, 454, 310, 5793, 538, 16713, 6157, 568, 4190, 267, 2523, 609, 519, 5251, 1309, 5529, 538, 6777, 269, 1717, 267, 5162, 666, 849, 1205, 1524, 2431, 22266, 267, 8744, 930, 610, 782, 540, 519, 1533, 547, 513, 15280, 569, 4411, 1796, 560, 650, 269, 1452, 27337, 881, 5162, 15420, 538, 16713, 616, 3283, 649, 4440, 4465, 1406, 7340, 1022, 942, 4166, 630, 604, 693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 799, 540, 519, 1739, 2175, 888, 27028, 775, 540, 7523, 716, 846, 454, 15430, 775, 540, 7523, 716, 846, 454, 27028, 775, 540, 7280, 454, 15430, 775, 540, 7280, 454, 2691, 519, 717, 3201, 5444, 1062, 568, 15181, 267, 7523, 716, 846, 25907, 547, 519, 772, 3008, 9431, 3148, 269, 0, 763, 1439, 540, 5988, 4718, 513, 19506, 23318, 689, 4436, 1876, 10470, 269, 769, 513, 1713, 15194, 267, 4587, 17088, 6517, 786, 1631, 581, 17049, 689, 930, 4436, 2749, 18013, 269, 634, 1847, 568, 6322, 693, 4227, 5533, 2157, 547, 5734, 9167, 9072, 267, 799, 616, 513, 3056, 2014, 540, 6757, 32669, 543, 2404, 7972, 689, 7929, 3676, 563, 4913, 267, 519, 3656, 1576, 540, 7333, 940, 1175, 4587, 17088, 6517, 568, 12691, 547, 4755, 538, 5177, 4872, 269, 634, 6554, 543, 5646, 15078, 616, 2921, 513, 968, 27234, 2011, 1935, 892, 676, 3168, 2066, 513, 2039, 540, 2010, 540, 3435, 267, 971, 607, 10997, 543, 22717, 269, 10228, 4975, 7027, 568, 519, 1152, 2749, 547, 1491, 519, 4436, 1899, 543, 2015, 7333, 940, 782, 3542, 5024, 6472, 676, 513, 1305, 4266, 563, 293, 21682, 4436, 7333, 454, 763, 4436, 3070, 547, 519, 1966, 540, 4057, 2749, 2011, 2298, 4718, 519, 4872, 540, 853, 18636, 326, 691, 267, 2274, 760, 345, 580, 543, 667, 639, 572, 671, 21807, 16155, 7333, 4587, 267, 811, 3542, 5024, 17088, 6517, 689, 519, 2127, 540, 519, 4872, 1034, 4299, 676, 5533, 269, 634, 15194, 5932, 513, 30675, 585, 824, 4872, 2066, 5125, 547, 2015, 2921, 2147, 7575, 1107, 5103, 519, 2229, 6031, 789, 616, 1996, 519, 1847, 563, 763, 2013, 729, 4547, 676, 2825, 1895, 667, 308, 295, 1310, 476, 3583, 4872, 2066, 5125, 941, 1336, 547, 723, 25295, 519, 7182, 1305, 676, 519, 9167, 585, 9436, 27911, 630, 17472, 343, 1040, 667, 19342, 5434, 2270, 9436, 27911, 267, 543, 891, 5536, 9305, 547, 4929, 7929, 2068, 563, 20084, 968, 30236, 2011, 892, 2990, 454, 2080, 538, 519, 5177, 267, 972, 568, 2370, 11610, 547, 1246, 519, 1847, 267, 4352, 972, 616, 519, 1482, 3656, 13800, 543, 9072, 689, 519, 9167, 547, 2569, 5533, 2157, 1934, 607, 538, 5125, 269, 634, 5177, 2229, 568, 1305, 593, 513, 1114, 2619, 1519, 2870, 2973, 2011, 10851, 1141, 3542, 5024, 4587, 17088, 6517, 786, 581, 9901, 547, 4283, 610, 6288, 2864, 982, 17049, 30739, 454, 763, 4972, 585, 5113, 267, 5253, 543, 22798, 16457, 814, 2813, 519, 2856, 540, 2973, 2011, 10851, 607, 519, 2656, 652, 1259, 547, 3142, 1524, 5533, 2157, 269, 17497, 267, 10228, 568, 519, 1152, 2199, 6392, 6236, 513, 4436, 16654, 24120, 7333, 563, 763, 10228, 2856, 454, 763, 2749, 14643, 616, 4867, 3168, 693, 7333, 940, 782, 1875, 25179, 5434, 6517, 689, 519, 2749, 8998, 269, 7201, 519, 1544, 267, 782, 3454, 529, 267, 21772, 543, 1769, 5010, 6472, 267, 607, 1134, 607, 6517, 267, 1223, 581, 17049, 689, 1978, 2127, 952, 789, 3542, 1393, 538, 1022, 1259, 269, 901, 1131, 581, 2322, 883, 3196, 676, 476, 1708, 271, 543, 1131, 8831, 547, 3382, 519, 2898, 2749, 8998, 676, 476, 10711, 276, 563, 290, 1735, 322, 650, 528, 3627, 18000, 1676, 267, 10228, 4975, 7027, 15445, 8274, 16588, 585, 589, 11162, 543, 5682, 10228, 267, 1767, 281, 968, 307, 16464, 543, 10363, 2011, 5533, 538, 519, 2749, 8998, 568, 14124, 519, 1072, 540, 10228, 779, 7264, 269, 589, 1900, 1689, 568, 2712, 326, 1836, 2877, 282, 519, 20023, 2506, 2153, 18630, 568, 602, 1900, 1689, 563, 2108, 5472, 540, 721, 945, 5397, 610, 946, 4620, 1503, 610, 17088, 6472, 998, 10228, 616, 7700, 547, 519, 2749, 779, 6757, 2011, 269, 15526, 2115, 547, 798, 741, 3787, 1107, 689, 3084, 6554, 543, 2199, 8128, 547, 4213, 543, 7264, 1107, 547, 1439, 713, 1857, 1072, 6595, 563, 10527, 6019, 543, 4975, 1927, 616, 3981, 532, 513, 588, 3042, 20023, 2506, 2153, 18630, 689, 476, 1708, 271, 538, 519, 2749, 8998, 267, 609, 3606, 3800, 547, 3142, 1524, 5312, 5533, 538, 853, 595, 2211, 779, 9335, 267, 4400, 9335, 543, 853, 25548, 622, 779, 269, 15526, 945, 3096, 10228, 8998, 814, 519, 1318, 547, 13236, 2973, 2011, 3034, 8448, 2081, 547, 4308, 609, 519, 1966, 454, 2005, 3315, 779, 3854, 7507, 568, 1776, 2749, 602, 4566, 547, 7333, 17088, 6517, 676, 476, 1708, 275, 689, 519, 2749, 8998, 269, 7507, 568, 835, 540, 519, 1034, 7249, 6479, 4872, 538, 2342, 543, 609, 922, 1082, 3504, 20375, 267, 5533, 568, 513, 1981, 547, 1004, 543, 849, 547, 922, 6561, 563, 8448, 4872, 1519, 8303, 267, 28925, 267, 18603, 543, 6792, 4975, 616, 3168, 693, 519, 7872, 540, 513, 17088, 7333, 676, 476, 1708, 276, 269, 634, 26302, 540, 10515, 32683, 538, 16862, 568, 2921, 513, 12050, 518, 1847, 1107, 646, 6499, 547, 7333, 17088, 6517, 676, 607, 2038, 607, 1985, 1032, 689, 519, 2749, 8998, 563, 763, 2104, 5654, 6926, 752, 585, 17088, 855, 849, 4620, 1503, 6517, 269, 634, 2229, 814, 2907, 9307, 513, 7333, 593, 1312, 676, 476, 14225, 271, 585, 1007, 6472, 543, 1082, 2199, 8128, 616, 4058, 3800, 1454, 1354, 713, 269, 5507, 779, 5556, 3878, 932, 1618, 543, 570, 16644, 1618, 10851, 616, 1806, 540, 14565, 2907, 538, 1747, 563, 4415, 2604, 689, 519, 10470, 547, 798, 1945, 827, 2011, 2298, 267, 972, 568, 3395, 2604, 593, 519, 2229, 547, 798, 1945, 269, 5047, 267, 609, 17088, 9042, 2338, 9991, 6385, 267, 519, 2104, 1281, 711, 1413, 6505, 585, 17088, 269, 898, 949, 4166, 581, 642, 4314, 532, 689, 938, 10754, 15587, 4352, 24120, 2749, 536, 753, 798, 711, 1413, 547, 581, 593, 519, 16880, 1934, 538, 519, 5177, 1107, 1175, 2943, 563, 1432, 798, 596, 1589, 827, 4436, 7575, 547, 30739, 7333, 4587, 17088, 6472, 3079, 540, 513, 17219, 5279, 547, 4283, 610, 6288, 286, 1548, 798, 596, 1589, 827, 10228, 779, 4566, 286, 3657, 789, 519, 1318, 1935, 610, 798, 596, 1589, 922, 791, 24411, 286, 2913, 721, 917, 538, 519, 8292, 2630, 563, 15124, 2856, 269, 14465, 2025, 10523, 1564, 607, 538, 5125, 269, 1548, 827, 519, 17088, 14884, 543, 21772, 1946, 12582, 1406, 789, 581, 2808, 849, 888, 3963, 616, 17088, 6517, 11173, 547, 581, 27313, 2213, 950, 476, 3445, 260, 540, 519, 2011, 5533, 814, 1044, 9863, 547, 2097, 689, 5010, 6472, 543, 21772, 630, 1721, 799, 972, 568, 1100, 14323, 4244, 547, 17088, 1379, 1040, 16393, 621, 581, 1945, 547, 798, 519, 1249, 602, 952, 519, 1482, 3652, 1141, 4294, 8449, 267, 972, 1131, 581, 1100, 5370, 538, 519, 15945, 543, 1857, 3560, 1131, 20836, 547, 513, 26699, 15017, 13070, 7517, 269, 3502, 1152, 602, 855, 1946, 568, 621, 602, 1152, 476, 273, 610, 476, 274, 1296, 3516, 649, 941, 1373, 9415, 547, 979, 17088, 1317, 540, 2362, 544, 17989, 543, 1447, 1135, 1081, 829, 13304, 7790, 888, 31800, 1695, 267, 21173, 552, 327, 286, 594, 2219, 602, 667, 625, 1564, 941, 1732, 593, 5434, 543, 519, 4492, 729, 513, 1434, 620, 709, 837, 585, 3388, 2196, 593, 621, 269, 22628, 1034, 540, 922, 1500, 540, 14943, 3150, 539, 3282, 269, 898, 729, 782, 2469, 1360, 3039, 585, 667, 19342, 827, 476, 1015, 586, 3464, 3516, 269, 23883, 609, 891, 9697, 24608, 4780, 1562, 538, 9688, 1949, 267, 594, 1589, 1498, 267, 1018, 649, 2731, 1058, 798, 568, 723, 1169, 1286, 936, 476, 276, 586, 3464, 267, 723, 513, 1007, 29512, 20303, 19034, 267, 543, 602, 786, 1832, 519, 5533, 1524, 563, 17920, 17088, 6472, 3132, 5434, 543, 1300, 12885, 602, 8914, 543, 6146, 721, 543, 938, 3885, 269, 1403, 2576, 1767, 789, 1185, 11827, 513, 3684, 602, 3812, 891, 5434, 543, 789, 1131, 3262, 713, 15865, 3154, 538, 10754, 585, 1004, 547, 11375, 1446, 666, 596, 4952, 519, 3210, 256, 5213, 1406, 2995, 803, 519, 2229, 9415, 10256, 547, 6718, 17088, 6472, 543, 16620, 593, 873, 267, 1004, 5156, 1018, 14018, 873, 563, 2026, 2484, 607, 17088, 5010, 6472, 616, 7255, 267, 7333, 940, 873, 1282, 519, 1554, 630, 763, 3108, 950, 6808, 568, 693, 922, 3389, 5006, 264, 1131, 979, 513, 1279, 1259, 2509, 4227, 5533, 269, 25756, 543, 3167, 536, 1380, 525, 616, 14323, 267, 855, 3454, 529, 616, 513, 1966, 267, 2394, 6007, 1272, 568, 6905, 267, 1717, 930, 946, 540, 15632, 12123, 2798, 896, 3454, 328, 16034, 1131, 948, 563, 2791, 3247, 9140, 649, 666, 3247, 6117, 269, 7490, 18973, 950, 596, 723, 865, 649, 666, 957, 9935, 454, 2252, 596, 7333, 782, 561, 13446, 779, 267, 642, 753, 3092, 945, 2469, 1118, 519, 6765, 779, 454, 2005, 568, 3020, 267, 7333, 782, 10523, 1564, 2507, 855, 594, 1589, 519, 2229, 568, 3168, 693, 7333, 940, 519, 2370, 5179, 626, 779, 667, 19342, 6472, 602, 616, 2025, 269, 594, 1589, 952, 789, 616, 2469, 547, 798, 602, 267, 1287, 621, 568, 1434, 602, 3025, 609, 606, 2025, 17088, 610, 3154, 1368, 3960, 2401, 543, 8891, 1503, 6517, 1058, 581, 17049, 1932, 563, 4517, 2073, 3973, 789, 1058, 3142, 1524, 519, 3902, 540, 519, 18960, 6517, 676, 13907, 899, 476, 3199, 2600, 513, 6614, 267, 1547, 3719, 602, 530, 2632, 4755, 2901, 11783, 4658, 945, 2661, 538, 519, 2749, 338, 10355, 991, 513, 6174, 269, 1656, 1034, 856, 2427, 519, 2749, 338, 18085, 6488, 476, 1220, 876, 543, 476, 6110, 876, 11013, 6472, 11783, 8307, 519, 3638, 476, 273, 610, 476, 274, 2600, 27260, 16269, 10093, 1406, 2219, 540, 602, 2676, 2171, 1058, 581, 3168, 693, 27164, 17501, 740, 19990, 547, 4587, 6517, 907, 898, 3217, 811, 5533, 547, 1628, 835, 982, 621, 1281, 547, 2196, 835, 2507, 1656, 621, 1131, 581, 811, 960, 585, 519, 5177, 7264, 982, 1104, 532, 1007, 6472, 454, 312, 788, 1360, 1434, 1448, 1107, 922, 1945, 789, 616, 3257, 538, 5125, 267, 555, 334, 594, 1589, 5631, 547, 5010, 6472, 563, 8253, 547, 2446, 519, 2804, 543, 2825, 1942, 540, 8741, 532, 540, 782, 540, 519, 13311, 1315, 16150, 17088, 6517, 543, 642, 753, 602, 891, 24120, 536, 753, 786, 1711, 563, 2005, 779, 519, 2653, 3077, 782, 519, 942, 1107, 519, 4357, 5179, 626, 269, 594, 9327, 1406, 2247, 952, 789, 941, 6236, 811, 14323, 3681, 899, 25756, 1379, 855, 621, 779, 782, 8854, 9602, 607, 519, 3302, 790, 3464, 6299, 519, 328, 597, 3946, 1927, 3206, 540, 519, 7443, 689, 1605, 339, 878, 11442, 6517, 563, 3080, 2262, 538, 707, 5037, 3627, 631, 2443, 268, 670, 312, 291, 4629, 294, 2894, 454, 2005, 568, 513, 811, 7294, 3390, 952, 596, 1491, 883, 2272, 519, 5533, 3361, 676, 2679, 6517, 269, 594, 723, 7229, 602, 594, 1223, 5397, 1250, 476, 1220, 272, 4787, 18649, 28529, 807, 10040, 630, 6321, 5404, 326, 936, 476, 12893, 267, 1822, 332, 282, 476, 6110, 271, 332, 270, 10455, 264, 585, 476, 2420, 1296, 1354, 519, 5533, 621, 3123, 20489, 602, 540, 11449, 513, 4620, 1503, 10682, 563, 1607, 568, 2760, 3144, 883, 2272, 256, 6153, 585, 596, 585, 3257, 621, 269, 5682, 701, 864, 7447, 513, 1286, 786, 946, 5111, 519, 1482, 2179, 540, 1648, 1282, 922, 10715, 607, 621, 3576, 547, 1711, 621, 267, 865, 1018, 779, 519, 1448, 540, 22696, 6137, 513, 1286, 609, 2370, 13304, 720, 286, 966, 6479, 1719, 610, 993, 594, 1373, 524, 2106, 673, 286, 2336, 2691, 594, 729, 827, 547, 13649, 594, 11751, 513, 1007, 1507, 17088, 8709, 1759, 631, 11901, 607, 519, 1164, 27939, 2990, 568, 1390, 585, 1250, 30169, 543, 30456, 3478, 538, 543, 856, 267, 594, 666, 1406, 3802, 2484, 865, 666, 1152, 1205, 856, 538, 1250, 6174, 547, 6300, 267, 13382, 779, 543, 6413, 607, 538, 513, 6917, 1858, 269, 594, 11751, 621, 547, 1294, 1250, 1272, 856, 267, 1175, 476, 278, 1296, 2025, 543, 1152, 2944, 476, 275, 267, 278, 3451, 5195, 267, 899, 1007, 267, 22243, 568, 1100, 1259, 594, 1131, 581, 5423, 547, 1205, 7759, 998, 1022, 22696, 653, 720, 10325, 267, 875, 1082, 1296, 666, 594, 2196, 621, 1354, 519, 1135, 1081, 621, 7472, 568, 811, 982, 602, 3812, 676, 22696, 6137, 621, 543, 2679, 513, 1007, 835, 269, 11272, 6517, 723, 741, 1378, 1135, 1081, 2042, 606, 971, 689, 2679, 543, 521, 571, 6137, 9075, 602, 849, 6861, 5054, 689, 5599, 585, 519, 2326, 547, 3132, 873, 563, 2080, 1934, 547, 596, 11184, 2336, 7069, 3237, 1705, 519, 1482, 3364, 269, 17292, 539, 513, 1507, 6174, 547, 1294, 856, 741, 942, 538, 269, 12829, 1312, 20019, 543, 13476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7376, 540, 519, 476, 6245, 271, 338, 267, 589, 889, 9445, 27673, 2142, 1841, 2917, 5280, 547, 653, 548, 7453, 16972, 544, 2803, 269, 18004, 538, 24761, 517, 267, 646, 13984, 24761, 517, 18049, 3427, 2073, 1141, 646, 4465, 8560, 1818, 993, 6748, 25780, 585, 2828, 543, 3610, 269, 1635, 519, 942, 646, 2451, 1153, 538, 476, 6642, 279, 267, 1614, 540, 1010, 9954, 1185, 1044, 3370, 538, 513, 24761, 517, 11356, 543, 930, 12400, 538, 1153, 12326, 269, 25021, 547, 5507, 609, 1010, 1920, 267, 646, 2919, 1010, 13730, 2648, 540, 519, 16222, 676, 11504, 4249, 607, 1134, 607, 2575, 10689, 12644, 543, 9450, 1010, 2907, 9645, 7574, 1702, 547, 7854, 25538, 1676, 781, 1766, 553, 269, 2334, 646, 2968, 513, 2565, 21951, 543, 2912, 3218, 568, 7805, 538, 1010, 12400, 543, 12591, 563, 1103, 476, 6245, 272, 267, 2142, 1841, 2917, 1558, 519, 2776, 7304, 777, 3873, 601, 924, 18048, 11184, 11977, 8738, 928, 11219, 2158, 267, 945, 5227, 602, 646, 7390, 1148, 1153, 267, 799, 2142, 1841, 2917, 1705, 585, 827, 29933, 3275, 269, 4438, 713, 942, 519, 1762, 7376, 3459, 9687, 1010, 2123, 2511, 269, 1261, 6594, 519, 960, 540, 1010, 29629, 2456, 267, 3226, 6276, 5062, 10468, 650, 1733, 626, 2401, 267, 8738, 928, 11219, 2158, 267, 19124, 590, 1157, 1068, 267, 19124, 595, 8735, 267, 543, 24839, 10658, 6665, 632, 932, 822, 2335, 525, 267, 607, 1134, 607, 16493, 676, 5545, 3574, 23026, 5159, 267, 4171, 29282, 543, 2553, 646, 9862, 538, 1010, 960, 269, 19291, 670, 269, 27213, 267, 513, 2835, 7749, 8227, 543, 23031, 267, 5189, 2142, 1841, 2917, 547, 17404, 808, 269, 631, 269, 19239, 267, 945, 20827, 2142, 1841, 2917, 547, 9414, 18200, 324, 11023, 11037, 630, 6245, 273, 268, 6245, 275, 1070, 513, 9864, 7160, 540, 11184, 7338, 5689, 800, 781, 3312, 960, 269, 2201, 519, 4222, 540, 713, 10243, 2142, 1841, 2917, 16718, 1010, 1554, 2816, 543, 267, 585, 519, 1101, 942, 538, 1010, 1272, 267, 13991, 5128, 547, 5373, 2407, 942, 543, 17975, 1010, 2511, 563, 6826, 1841, 2917, 781, 1655, 1568, 267, 971, 607, 585, 30546, 8187, 324, 781, 476, 6245, 275, 1404, 6428, 727, 630, 10594, 3373, 3370, 538, 3943, 538, 476, 6245, 274, 1070, 1045, 10280, 513, 3638, 30031, 6863, 269, 634, 2178, 20078, 559, 710, 541, 15885, 4183, 606, 22237, 543, 17715, 946, 540, 1899, 602, 5546, 2527, 539, 17051, 543, 16543, 269, 2060, 741, 6402, 547, 13507, 626, 1148, 267, 2142, 1841, 2917, 781, 6272, 1683, 18935, 1242, 3308, 16555, 593, 519, 5931, 585, 799, 646, 1500, 873, 267, 22880, 569, 17804, 609, 519, 1419, 811, 21055, 12383, 543, 519, 16897, 3945, 14241, 602, 829, 341, 12184, 4207, 1148, 269, 3571, 12400, 18783, 267, 1851, 1866, 267, 20266, 27591, 267, 945, 4718, 519, 2296, 7376, 781, 960, 538, 476, 5002, 271, 1354, 646, 2451, 30209, 282, 918, 663, 31582, 267, 945, 6785, 2142, 1841, 2917, 781, 960, 1354, 646, 2451, 6576, 538, 476, 6245, 277, 282, 7671, 32008, 19159, 267, 4171, 22302, 11265, 14742, 941, 8476, 676, 2142, 1841, 2917, 781, 6272, 1100, 1447, 982, 1010, 1378, 4015, 540, 5545, 16493, 282, 543, 13677, 4056, 8176, 681, 3317, 773, 27963, 842, 9655, 267, 945, 17019, 2142, 1841, 2917, 781, 3310, 676, 15489, 476, 6245, 274, 563, 10303, 2142, 1841, 2917, 1185, 21061, 543, 6785, 646, 1131, 5884, 1762, 267, 3478, 1010, 960, 3370, 543, 22412, 730, 10057, 1864, 269, 1677, 1202, 675, 519, 3262, 540, 1010, 10639, 267, 646, 934, 5034, 1010, 18854, 1399, 267, 536, 1177, 11276, 12400, 609, 2144, 5328, 2609, 602, 7229, 569, 28280, 1647, 11665, 5507, 13588, 543, 29317, 1242, 2689, 619, 1547, 3245, 519, 1101, 267, 2142, 1841, 2917, 781, 960, 729, 26916, 585, 1010, 7829, 540, 1899, 855, 632, 680, 1819, 585, 1010, 2126, 540, 1543, 269, 9919, 13586, 602, 10639, 729, 711, 1152, 519, 30983, 540, 930, 5159, 855, 849, 513, 29317, 269, 2991, 6428, 727, 729, 3370, 267, 2142, 1841, 2917, 543, 8187, 324, 941, 9048, 951, 4601, 5532, 538, 519, 1857, 2247, 282, 16172, 1310, 8187, 324, 781, 10654, 267, 2142, 1841, 2917, 729, 796, 576, 516, 3000, 13124, 521, 17977, 689, 634, 14117, 3883, 267, 519, 1285, 656, 3766, 31938, 1974, 673, 646, 1185, 1071, 1922, 15903, 543, 593, 799, 646, 1185, 6039, 607, 1148, 9375, 563, 6826, 1841, 2917, 781, 2956, 607, 606, 7376, 267, 2705, 267, 1705, 711, 8451, 689, 29317, 269, 769, 519, 476, 6245, 271, 338, 1010, 12400, 1765, 1721, 19297, 267, 2835, 267, 17476, 267, 543, 519, 1974, 25025, 634, 14117, 3883, 543, 634, 14205, 1195, 799, 646, 5280, 547, 1544, 1765, 4818, 8215, 7525, 3486, 3007, 1317, 646, 23699, 519, 1899, 3625, 269, 901, 729, 513, 1007, 1505, 540, 2584, 727, 22817, 12093, 602, 15868, 1010, 12400, 547, 581, 8308, 267, 17215, 267, 543, 3432, 1176, 22412, 730, 269, 634, 7376, 781, 2022, 21065, 748, 10639, 26520, 593, 1010, 4838, 538, 1312, 519, 2511, 543, 5888, 540, 1433, 14745, 543, 1010, 6351, 538, 13321, 519, 2361, 540, 8642, 1148, 883, 513, 2101, 5420, 540, 3308, 4082, 269, 2142, 1841, 2917, 781, 9295, 547, 519, 3384, 2361, 540, 5010, 1148, 849, 21490, 519, 1259, 585, 519, 1857, 10343, 540, 10229, 269, 3571, 1557, 968, 763, 3203, 540, 519, 14208, 8973, 892, 630, 1715, 5623, 267, 476, 6245, 275, 1070, 593, 519, 1287, 19679, 326, 1782, 2361, 540, 519, 16968, 267, 3091, 519, 9998, 13994, 1637, 538, 6628, 540, 1010, 24235, 602, 5010, 1374, 1058, 581, 693, 2899, 4052, 543, 4190, 1765, 821, 2601, 602, 1010, 476, 6245, 275, 288, 15467, 20989, 16968, 1185, 513, 12316, 1198, 593, 1312, 5011, 540, 519, 9533, 563, 6826, 1841, 2917, 781, 12400, 2992, 513, 17396, 6138, 3710, 593, 519, 12242, 27606, 540, 1010, 960, 1765, 6665, 783, 543, 5339, 269, 634, 1641, 849, 14340, 538, 1010, 2854, 1568, 267, 799, 1331, 6965, 267, 2110, 2984, 267, 3594, 267, 543, 513, 8144, 540, 968, 29272, 718, 639, 16275, 892, 602, 7902, 538, 634, 14205, 1195, 1547, 3571, 3209, 634, 9452, 540, 19026, 543, 570, 2335, 327, 7564, 12528, 2073, 4652, 31944, 693, 1010, 2669, 267, 2306, 7805, 1010, 6791, 711, 1152, 538, 1148, 543, 519, 3209, 9135, 267, 855, 849, 7762, 1415, 267, 6189, 267, 2575, 267, 22968, 267, 543, 13299, 269, 769, 1312, 1010, 1148, 543, 1603, 267, 2142, 1841, 2917, 1419, 8947, 4008, 1894, 267, 607, 1134, 607, 519, 18305, 540, 519, 9240, 5052, 4302, 543, 519, 16831, 16725, 267, 1079, 3308, 840, 21232, 725, 540, 7262, 2528, 269, 3571, 1568, 4749, 896, 12827, 1142, 1761, 7664, 609, 922, 6587, 267, 971, 602, 519, 10096, 540, 1082, 12400, 267, 585, 1383, 267, 3112, 6038, 581, 968, 1348, 3034, 288, 3196, 538, 519, 5137, 540, 3203, 715, 537, 557, 879, 267, 2142, 1841, 2917, 568, 6444, 607, 835, 540, 519, 1906, 3703, 5159, 538, 519, 21282, 540, 519, 7073, 626, 3350, 602, 25626, 2342, 267, 3013, 2073, 543, 6576, 1547, 1306, 6723, 717, 4592, 345, 7074, 538, 476, 3707, 277, 267, 646, 6766, 968, 335, 847, 1227, 1169, 2413, 14704, 1310, 476, 5002, 271, 2223, 6028, 1906, 2923, 538, 2342, 543, 3345, 3013, 2150, 31189, 269, 769, 1840, 547, 7206, 543, 6189, 267, 1010, 960, 6766, 700, 2946, 517, 25234, 560, 781, 3942, 5036, 585, 519, 645, 24548, 4072, 525, 267, 661, 4135, 2946, 781, 630, 305, 558, 664, 632, 570, 597, 1729, 742, 264, 16560, 1148, 267, 14639, 3213, 551, 324, 879, 781, 6272, 585, 14472, 5460, 531, 28028, 267, 595, 1815, 559, 19468, 517, 781, 24853, 267, 543, 8834, 7665, 781, 12449, 585, 634, 14117, 4427, 3405, 710, 2073, 607, 1134, 607, 519, 2038, 960, 540, 3703, 18048, 13198, 857, 523, 22506, 543, 519, 5545, 3574, 23026, 7376, 16549, 9564, 570, 5028, 24499, 267, 945, 6410, 547, 519, 2136, 2276, 538, 476, 3422, 272, 269, 3414, 713, 9867, 543, 7096, 3310, 267, 2142, 1841, 2917, 12012, 8226, 538, 3308, 1148, 563, 15100, 476, 1001, 271, 267, 27692, 2098, 520, 4802, 454, 299, 25475, 2098, 520, 4802, 568, 513, 7905, 540, 2296, 693, 2859, 5264, 5441, 269, 2701, 568, 519, 2278, 540, 589, 889, 9445, 2142, 1841, 2917, 543, 16972, 20351, 15348, 630, 23682, 5112, 281, 10228, 24505, 267, 476, 1960, 271, 264, 543, 589, 889, 9445, 2142, 1841, 2917, 281, 589, 18280, 4084, 14780, 2581, 333, 2946, 630, 6124, 670, 13273, 281, 23171, 24505, 267, 476, 1220, 277, 1916, 23277, 6369, 11239, 10573, 313, 520, 4802, 267, 27692, 269, 834, 288, 889, 9445, 2142, 1841, 2917, 630, 6942, 273, 268, 6245, 279, 1040, 257, 634, 14117, 715, 6839, 625, 6732, 269, 3798, 269, 667, 12447, 9324, 529, 4752, 543, 31240, 9627, 3967, 7999, 918, 5622, 626, 571, 269, 27550, 3205, 2160, 267, 476, 1001, 271, 269, 5680, 269, 1496, 14630, 540, 1569, 4940, 5291, 2517, 6245, 271, 338, 28022, 270, 12487, 7876, 269, 5684, 343, 286, 338, 284, 2041, 1841, 2917, 10734, 1470, 11258, 347, 0, 1607, 1650, 4580, 1281, 711, 723, 513, 6609, 563, 301, 527, 4088, 568, 513, 8004, 689, 519, 4884, 540, 11270, 545, 7305, 15689, 269, 2701, 2729, 538, 519, 6828, 476, 1428, 6306, 906, 593, 519, 7944, 540, 11270, 476, 273, 9335, 269, 4173, 19887, 1297, 568, 476, 278, 563, 301, 527, 4088, 2729, 513, 1434, 1272, 269, 4173, 2828, 1289, 1200, 715, 269, 2701, 568, 5393, 2442, 693, 1153, 1317, 540, 1200, 1134, 8153, 5123, 2242, 269, 2755, 1352, 568, 513, 2681, 1652, 267, 17627, 1652, 3154, 1034, 540, 519, 942, 267, 1352, 666, 581, 513, 4396, 610, 5277, 693, 1360, 1970, 5210, 563, 4913, 267, 649, 798, 723, 835, 1966, 1053, 2483, 3080, 12784, 267, 715, 781, 2257, 4116, 6035, 1200, 543, 5722, 824, 1053, 519, 4316, 547, 979, 883, 2230, 256, 1703, 729, 1100, 1259, 1352, 729, 7432, 602, 1524, 2336, 763, 824, 5722, 1053, 941, 519, 25756, 14552, 543, 519, 27488, 19946, 269, 1358, 941, 782, 1434, 2828, 609, 715, 563, 19853, 2257, 4116, 5483, 873, 602, 519, 3318, 16106, 945, 729, 2921, 873, 1185, 1100, 811, 4492, 269, 898, 729, 909, 547, 21193, 4088, 543, 1200, 2828, 547, 4137, 856, 875, 547, 4492, 519, 15177, 2336, 5445, 782, 2968, 1360, 11688, 26938, 827, 713, 5692, 269, 4256, 4116, 1185, 5143, 873, 789, 941, 2469, 547, 1265, 4672, 8645, 593, 519, 7599, 267, 855, 875, 941, 789, 9277, 547, 4137, 856, 875, 547, 1205, 547, 519, 7599, 609, 1100, 4492, 888, 18439, 3776, 15080, 543, 6201, 454, 2521, 3776, 4033, 15750, 2572, 2336, 21900, 657, 585, 4147, 454, 1700, 9612, 585, 3427, 4149, 12522, 267, 11300, 12780, 16071, 256, 630, 2005, 4634, 595, 2572, 585, 1411, 2336, 1700, 31418, 1176, 5269, 543, 9523, 4279, 18391, 11676, 7879, 256, 0, 1607, 1349, 689, 476, 6245, 275, 5453, 961, 753, 3778, 5440, 2762, 1299, 30615, 540, 20736, 5069, 6257, 519, 1686, 540, 670, 2643, 2023, 1299, 16110, 543, 729, 1336, 593, 2899, 540, 519, 2487, 1382, 2395, 563, 1103, 621, 568, 513, 6609, 540, 513, 18533, 18995, 513, 25041, 2678, 602, 729, 3144, 689, 519, 26195, 597, 976, 540, 519, 4936, 15167, 693, 670, 2643, 2023, 543, 12873, 693, 670, 2643, 2023, 16836, 563, 2005, 1131, 581, 8799, 547, 1589, 602, 519, 18533, 540, 519, 25041, 2678, 1185, 15068, 267, 5310, 25517, 593, 519, 6370, 906, 267, 855, 8909, 569, 1152, 2185, 5515, 543, 835, 9864, 4137, 7639, 782, 519, 2242, 547, 519, 2679, 267, 642, 663, 16117, 543, 3668, 540, 5826, 540, 519, 2063, 7008, 540, 4627, 1296, 563, 6781, 913, 519, 10766, 540, 519, 14500, 972, 941, 849, 1079, 5515, 267, 835, 540, 799, 729, 513, 812, 11318, 513, 26704, 28458, 1107, 930, 2161, 621, 729, 5921, 547, 581, 519, 30340, 2023, 654, 768, 1107, 855, 972, 568, 711, 1454, 2451, 540, 891, 5515, 269, 1548, 3788, 5654, 899, 513, 15743, 609, 513, 4351, 1850, 8930, 940, 621, 1524, 563, 763, 14500, 786, 581, 14656, 16172, 547, 581, 1201, 7875, 1639, 543, 786, 581, 556, 23899, 607, 513, 21233, 8998, 538, 5111, 1079, 1296, 1107, 811, 3877, 616, 2016, 540, 840, 12641, 3837, 1930, 2395, 543, 519, 4566, 585, 519, 1201, 7875, 7321, 593, 519, 5291, 2517, 4178, 269, 17222, 2023, 31069, 3820, 16896, 3896, 563, 12626, 11595, 3896, 630, 3602, 519, 2407, 15656, 543, 26637, 1408, 21207, 3239, 666, 581, 2938, 3738, 25075, 1938, 811, 593, 519, 1686, 540, 519, 16836, 5291, 2517, 4178, 269, 1263, 1501 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1871, 3418, 825, 952, 1899, 269, 11034, 1873, 603, 2891, 303, 712, 257, 8029, 1038, 1820, 2891, 22209, 1229, 513, 8520, 10590, 3418, 1038, 538, 299, 17274, 815, 1775, 1341, 476, 272, 1477, 1038, 521, 815, 1899, 21858, 2891, 834, 3418, 1038, 4756, 815, 1232, 537, 701, 4433, 314, 272, 29573, 1038, 1101, 19368, 815, 6218, 263, 20657, 537, 701, 4433, 314, 275, 8079, 3418, 1038, 1439, 299, 17274, 24868, 762, 815, 4756, 1477, 1038, 1439, 299, 17274, 19368, 815, 6218, 263, 20657, 537, 701, 4433, 314, 277, 8079, 3418, 1038, 1292, 10574, 314, 19702, 762, 316, 815, 1101, 19368, 1477, 1038, 1820, 17635, 926, 762, 267, 834, 284, 2580, 1101, 19368, 10142, 825, 1775, 6834, 476, 272, 5897, 825, 952, 538, 299, 17274, 3436, 910, 272, 6769, 1038, 952, 1775, 13843, 1439, 6769, 2018, 1775, 815, 538, 299, 17274, 1477, 2018, 952, 1292, 10574, 314, 754, 299, 17274, 24868, 762, 316, 13843, 1439, 299, 17274, 19368, 6769, 3546, 538, 299, 17274, 815, 910, 272, 1477, 2018, 1292, 10574, 314, 754, 299, 17274, 24868, 762, 316, 6834, 476, 272, 1477, 2018, 1820, 263, 754, 299, 17274, 24868, 762, 267, 834, 284, 2580, 1292, 10574, 314, 754, 299, 17274, 24868, 762, 29573, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 6129, 2904, 476, 476, 273, 476, 1015, 281, 7906, 281, 3066, 476, 1708, 272, 692, 287, 10461, 281, 4432, 21289, 454, 20701, 258, 7383, 2838, 8021, 563, 5814, 26417, 454, 5814, 4351, 454, 5814, 21267, 28272, 454, 5814, 8665, 325, 1090, 1168, 1251, 454, 5814, 21267, 269, 534, 11582, 8528, 258, 8073, 6724, 585, 9474, 300, 563, 11133, 15058, 318, 698, 757, 815, 476, 1015, 8587, 1948, 8073, 4756, 543, 3651, 621, 513, 1297, 540, 8069, 563, 11133, 15058, 318, 3438, 725, 815, 476, 1911, 476, 1948, 8073, 4756, 543, 3651, 621, 513, 1297, 540, 23200, 540, 519, 2203, 563, 31371, 13118, 3125, 815, 476, 736, 8587, 1948, 8073, 4756, 543, 3651, 621, 513, 1871, 8159, 1412, 333, 792, 2421, 262, 8069, 780, 258, 8073, 8665, 543, 1604, 4632, 563, 698, 757, 815, 11713, 523, 1444, 815, 29129, 258, 7046, 1412, 514, 17902, 262, 3758, 543, 4688, 607, 4756, 834, 325, 8487, 325, 815, 1930, 3488, 514, 17902, 3299, 1007, 1467, 8782, 5073, 258, 3474, 572, 834, 325, 257, 543, 4688, 547, 834, 1348, 518, 257, 4756, 563, 1348, 518, 815, 26417, 18667, 518, 6600, 267, 844, 7627, 284, 322, 12364, 269, 12702, 5588, 292, 318, 301, 2177, 301, 9331, 2207, 2975, 2020, 258, 594, 614, 622, 936, 834, 1348, 518, 257, 4756, 543, 946, 713, 1239, 547, 1711, 513, 476, 273, 291, 1592, 563, 1721, 4737, 538, 5467, 912, 825, 4737, 4289, 815, 32582, 4848, 454, 825, 585, 1871, 538, 4737, 912, 1038, 4737, 4289, 6910, 263, 7407, 994, 825, 1604, 6910, 21405, 4289, 994, 325, 25379, 10797, 258, 1820, 263, 523, 1444, 264, 1948, 13242, 547, 1449, 602, 834, 523, 1444, 257, 3568, 834, 1348, 518, 257, 1239, 269, 8528, 258, 8073, 3113, 547, 4729, 8069, 543, 679, 1333, 333, 618, 593, 563, 14808, 815, 21267, 28272, 8807, 2682, 6600, 12127, 1125, 14352, 278, 267, 476, 278, 4297, 476, 1948, 5590, 519, 6708, 540, 519, 3113, 543, 3651, 621, 547, 4756, 834, 14808, 8487, 1314, 815, 4453, 14491, 318, 31320, 8443, 271, 267, 476, 271, 267, 476, 272, 267, 476, 272, 8079, 4449, 1948, 5410, 17887, 547, 3113, 543, 3651, 873, 547, 4756, 834, 1314, 6231, 258, 18140, 519, 3355, 1533, 540, 834, 523, 1444, 257, 593, 519, 1657, 3113, 563, 3901, 15003, 28272, 269, 574, 19651, 263, 523, 1444, 994, 3901, 15003, 28272, 20481, 10797, 258, 5269, 519, 8069, 563, 1721, 1775, 538, 2039, 16325, 15058, 318, 698, 757, 2187, 1038, 8069, 6910, 263, 26047, 325, 1090, 1168, 1251, 6993, 7217, 263, 523, 1444, 267, 8069, 11723, 258, 8073, 834, 26303, 257, 1599, 547, 4434, 2203, 835, 1900, 563, 3698, 9337, 6600, 9347, 20311, 2187, 825, 4453, 269, 27234, 4590, 8931, 825, 1948, 8073, 513, 585, 2000, 17274, 547, 621, 4733, 936, 1142, 8665, 267, 1818, 873, 1847, 267, 3548, 267, 2671, 1344, 543, 4729, 873, 593, 513, 3113, 269, 3097, 825, 585, 1775, 538, 2039, 16325, 15058, 318, 698, 757, 2187, 1038, 8069, 5157, 4940, 332, 913, 4590, 1038, 8069, 5157, 4940, 324, 520, 4590, 1038, 8069, 5157, 4940, 3333, 732, 318, 5976, 318, 31371, 321, 2293, 263, 31371, 13118, 3125, 994, 13872, 1038, 1948, 18140, 519, 8069, 593, 519, 3113, 563, 1038, 21267, 28272, 31892, 2660, 263, 698, 757, 5157, 4940, 343, 267, 698, 757, 5157, 4940, 344, 994, 13872, 825, 1948, 1744, 28984, 519, 1592, 540, 8069, 547, 2061, 2203, 13742, 630, 1478, 268, 3147, 636, 1637, 540, 5763, 676, 519, 1101, 8665, 1916, 825, 4351, 11075, 28984, 263, 698, 757, 994, 13872, 258, 1323, 1493, 519, 2203, 1210, 519, 8342, 322, 2304, 11582, 1599, 689, 519, 21267, 5399, 267, 24253, 1169, 476, 1911, 20444, 1510, 18110, 563, 534, 11582, 815, 21267, 269, 534, 11582, 12171, 15635, 2304, 11582, 6600, 580, 267, 9337, 267, 8884, 284, 1911, 267, 10956, 25716, 267, 14604, 284, 11133, 15058, 318, 3438, 725, 994, 3901, 15003, 28272, 20481, 3890, 825, 692, 258, 13242, 547, 1449, 602, 834, 523, 1444, 257, 1185, 4957, 563, 258, 21267, 28272, 269, 574, 19651, 263, 523, 1444, 264, 22322, 258, 21267, 28272, 20481, 3890, 8528, 258, 16440, 3803, 1604, 1533, 547, 834, 324, 22760, 5319, 1444, 257, 3758, 563, 325, 273, 815, 1930, 3488, 324, 22760, 5319, 1444, 27406, 3299, 1412, 342, 3299, 1007, 1467, 284, 5257, 264, 3097, 23116, 815, 26417, 9884, 31581, 6600, 273, 267, 1642, 574, 3438, 8782, 30386, 1721, 4737, 538, 1604, 281, 4848, 454, 453, 23116, 9884, 31581, 578, 21405, 994, 325, 273, 25379, 10797, 258, 13281, 602, 519, 834, 332, 913, 257, 1599, 7575, 519, 8069, 563, 18411, 11687, 318, 26047, 815, 8665, 325, 1090, 1168, 1251, 6993, 7217, 263, 523, 1444, 267, 8069, 994, 28744, 6025, 652, 318, 26047, 13885, 267, 1449, 318, 26047, 11859, 994, 11687, 318, 26047, 6230, 913, 4590, 28744, 6025, 652, 318, 26047, 13885, 267, 1449, 318, 26047, 11859, 994, 18411, 0, 5228, 17511, 1104, 5742, 692, 3698, 1039, 5416, 281, 703, 267, 536, 281, 703, 264, 9847, 703, 912, 825, 2132, 513, 1341, 536, 692, 3698, 20952, 5416, 281, 703, 267, 536, 281, 703, 264, 9847, 703, 912, 825, 2132, 513, 910, 536, 692, 3698, 9062, 5416, 281, 703, 267, 536, 281, 703, 264, 9847, 703, 912, 825, 2132, 513, 2608, 536, 692, 3698, 6498, 5416, 281, 703, 267, 536, 281, 703, 264, 9847, 5742, 27776, 267, 10581, 14158, 825, 952, 536, 2652, 476, 271, 912, 1038, 1820, 2891, 301, 773, 4779, 385, 376, 3534, 546, 345, 1408, 328, 24089, 929, 2763, 345, 476, 271, 32405, 1038, 2132, 476, 271, 454, 825, 2132, 513, 1315, 536, 692, 3698, 4636, 15220, 4069, 10031, 825, 1820, 2891, 291, 758, 7431, 22119, 324, 23410, 1990, 22119, 1122, 334, 530, 344, 4011, 340, 8206, 5602, 825, 19523, 20216, 527, 10797, 320, 815, 5180, 263, 15615, 9272, 2891, 303, 617, 1690, 22815, 9749, 345, 384, 483, 6132, 345, 321, 384, 503, 281, 834, 21875, 321, 815, 5180, 263, 15615, 9272, 2891, 303, 617, 1690, 3075, 384, 483, 6132, 345, 321, 384, 503, 281, 834, 21875, 322, 815, 3403, 2891, 303, 617, 1690, 11425, 345, 1690, 546, 345, 807, 22119, 16492, 281, 476, 272, 910, 1039, 267, 476, 273, 910, 20952, 267, 476, 274, 910, 9062, 267, 476, 275, 910, 6498, 281, 19515, 14310, 318, 4134, 335, 27468, 815, 27835, 272, 9166, 1039, 2676, 262, 273, 9166, 20952, 2676, 262, 274, 9166, 9062, 2676, 262, 275, 9166, 6498, 8679, 604, 711, 524, 538, 1267, 318, 4134, 335, 27468, 912, 825, 4636, 15220, 4069, 4590, 14310, 815, 1267, 318, 4134, 335, 27468, 314, 322, 28488, 320, 267, 536, 2020, 2745, 6600, 257, 310, 2106, 1731, 546, 345, 807, 22119, 16492, 547, 281, 2715, 14310, 348, 15419, 692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2671, 1010, 1702, 269, 8625, 267, 789, 4362, 602, 5103, 2348, 10731, 2200, 267, 13207, 13810, 17388, 609, 6721, 1978, 5370, 7561, 267, 1247, 1160, 4944, 4275, 4597, 539, 693, 1346, 1360, 4247, 269, 1358, 7691, 602, 952, 789, 5249, 1927, 3079, 540, 1996, 1142, 824, 267, 1312, 25267, 1131, 4324, 7494, 780, 4913, 267, 950, 789, 8120, 1753, 267, 2407, 540, 4126, 267, 789, 1336, 602, 3751, 661, 2998, 15189, 547, 6432, 269, 5502, 267, 646, 4797, 25412, 1256, 31749, 3652, 269, 28214, 25922, 2943, 5462, 267, 25905, 8891, 571, 9307, 513, 6264, 4023, 15386, 1160, 4944, 4275, 781, 1983, 543, 18136, 3025, 1765, 16838, 1346, 689, 13207, 13810, 269, 1879, 3751, 661, 2998, 8452, 609, 11184, 15613, 676, 1010, 2427, 267, 15691, 547, 17908, 1022, 12755, 267, 646, 14754, 1945, 6397, 269, 22628, 519, 27265, 10268, 1354, 1864, 267, 646, 7948, 1405, 948, 855, 1745, 24330, 269, 4014, 711, 5612, 17251, 267, 5452, 540, 1689, 3459, 547, 1332, 269, 1656, 3976, 267, 519, 27959, 6026, 3025, 606, 1898, 3992, 910, 3006, 649, 1590, 6542, 938, 4502, 3461, 569, 267, 3972, 532, 538, 519, 1379, 540, 5698, 936, 10072, 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, 18658, 2591, 798, 10148, 1459, 538, 3486, 4123, 610, 23372, 888, 272, 269, 17290, 1569, 547, 2200, 281, 4790, 571, 6493, 971, 607, 2377, 1173, 3996, 267, 24476, 267, 610, 4123, 7496, 666, 1291, 547, 3908, 1569, 547, 2200, 267, 1818, 621, 2352, 585, 2477, 547, 2743, 741, 6469, 7569, 267, 2417, 18363, 741, 4346, 780, 273, 269, 20497, 9993, 281, 11780, 9993, 971, 607, 29388, 267, 9889, 553, 267, 610, 24307, 666, 723, 8801, 2360, 593, 4123, 21356, 543, 3895, 13313, 267, 1159, 10212, 1782, 267, 543, 3454, 859, 5235, 780, 274, 269, 11572, 7526, 281, 4790, 571, 6493, 666, 8451, 1813, 547, 2797, 7526, 267, 971, 607, 2112, 267, 18483, 267, 610, 20748, 3604, 267, 3056, 547, 4389, 2804, 9316, 543, 20320, 1894, 780, 275, 269, 9483, 13103, 281, 31603, 2477, 949, 946, 10148, 607, 513, 1907, 547, 2149, 741, 11615, 267, 2417, 7700, 547, 2804, 13103, 1063, 2919, 543, 3384, 2477, 780, 276, 269, 13751, 23665, 281, 13751, 10148, 971, 607, 14664, 4031, 267, 30931, 267, 543, 5299, 23412, 666, 1118, 519, 4123, 1184, 2352, 267, 12103, 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, 1103, 713, 1770, 267, 649, 786, 2263, 513, 4241, 1523, 538, 519, 2361, 540, 5365, 4393, 281, 519, 16937, 1063, 1079, 4908, 3126, 269, 901, 1523, 568, 4922, 1031, 538, 1585, 11890, 971, 607, 6323, 267, 4702, 267, 543, 2780, 2257, 269, 1284, 786, 581, 1210, 5124, 267, 513, 2442, 5752, 1893, 267, 547, 1174, 713, 1523, 1732, 780, 6524, 649, 4685, 883, 519, 3009, 267, 1577, 781, 1101, 1174, 1018, 513, 4908, 3126, 568, 269, 589, 4908, 3126, 568, 513, 5311, 540, 2338, 602, 4564, 519, 4222, 540, 1114, 4908, 3334, 1459, 538, 513, 5365, 269, 1280, 3236, 267, 952, 649, 723, 513, 7574, 4063, 267, 922, 4908, 3126, 786, 2995, 721, 827, 519, 8515, 540, 1114, 8486, 2583, 630, 325, 7528, 4293, 264, 602, 1118, 909, 519, 4063, 780, 3086, 267, 4952, 649, 723, 1079, 7574, 4967, 267, 543, 649, 1616, 547, 1265, 856, 875, 2147, 789, 616, 269, 2290, 1259, 547, 798, 713, 568, 676, 12719, 519, 16937, 1063, 741, 4908, 3126, 269, 634, 16937, 568, 513, 2268, 540, 875, 1134, 519, 1079, 3126, 6474, 950, 835, 568, 17146, 538, 942, 3448, 547, 519, 824, 269, 901, 568, 899, 3843, 547, 5447, 519, 1079, 4967, 865, 602, 789, 3280, 607, 2147, 607, 2009, 780, 4131, 781, 1294, 875, 713, 568, 2944, 538, 5124, 269, 1284, 786, 581, 1210, 513, 1599, 1572, 2387, 1478, 331, 777, 5334, 7685, 319, 602, 3217, 538, 1079, 4908, 3126, 543, 21410, 741, 16937, 269, 634, 1599, 849, 3217, 538, 513, 1379, 19706, 5860, 630, 4916, 291, 264, 543, 513, 942, 3259, 607, 11378, 269, 634, 13662, 291, 568, 513, 2268, 540, 519, 1379, 3892, 2066, 1114, 12451, 267, 543, 519, 942, 3259, 568, 519, 8653, 585, 799, 649, 1616, 547, 5173, 519, 16937, 780, 2080, 568, 519, 1599, 1384, 3499, 7090, 454, 3698, 16937, 5334, 7685, 4311, 267, 3126, 273, 267, 27666, 323, 267, 4626, 601, 523, 284, 272, 269, 271, 2187, 825, 562, 25074, 476, 815, 5180, 6025, 574, 601, 523, 270, 1345, 6155, 339, 11924, 272, 454, 825, 967, 338, 825, 815, 5286, 30784, 1052, 3799, 25074, 9984, 333, 25074, 2260, 273, 692, 825, 2343, 825, 815, 5286, 28460, 4433, 7685, 273, 269, 1345, 7272, 6055, 263, 1186, 323, 4297, 2608, 5286, 28460, 4311, 269, 1345, 7272, 6055, 263, 1186, 323, 4917, 825, 521, 272, 318, 935, 329, 815, 5286, 26769, 329, 4311, 8807, 516, 336, 5334, 7685, 2020, 825, 16937, 815, 5286, 15126, 8443, 275, 30818, 1345, 269, 4206, 265, 12639, 269, 11274, 18828, 27904, 4433, 272, 318, 935, 329, 265, 338, 7685, 273, 11075, 3424, 6958, 516, 336, 5334, 7685, 4311, 6155, 339, 265, 328, 8358, 1186, 323, 4297, 270, 17884, 585, 1775, 538, 967, 338, 3910, 546, 6943, 284, 15615, 994, 825, 512, 3333, 3424, 476, 815, 967, 338, 265, 1345, 6155, 339, 692, 825, 2132, 5286, 27982, 263, 1478, 331, 777, 1070, 630, 1206, 31183, 267, 16937, 994, 7884, 4131, 781, 2736, 1524, 713, 1599, 269, 634, 1101, 1899, 21410, 519, 1297, 540, 942, 3268, 630, 319, 333, 25074, 319, 264, 2877, 547, 3382, 519, 2016, 942, 3259, 269, 634, 2034, 1899, 5932, 606, 5044, 540, 17523, 630, 319, 785, 338, 319, 264, 602, 786, 581, 1031, 547, 6521, 835, 540, 519, 4908, 3126, 538, 942, 780, 763, 3791, 1899, 21410, 513, 3339, 1436, 3815, 630, 319, 17884, 319, 264, 602, 568, 1031, 547, 2327, 602, 519, 16937, 568, 711, 21678, 676, 519, 9588, 540, 519, 4908, 3126, 269, 901, 568, 2944, 676, 2921, 519, 4009, 3597, 540, 519, 1582, 1790, 6055, 540, 1142, 3126, 609, 519, 13662, 291, 269, 634, 1582, 1790, 6055, 568, 513, 2268, 540, 519, 1648, 540, 519, 3126, 780, 763, 8772, 1899, 5932, 513, 31669, 540, 519, 1101, 4908, 3126, 630, 319, 338, 272, 318, 935, 329, 319, 1040, 634, 31669, 540, 513, 1950, 1297, 568, 513, 1297, 609, 519, 1482, 1483, 851, 855, 519, 2942, 16494, 851, 269, 901, 568, 1031, 1317, 519, 16937, 9819, 3322, 1950, 2338, 780, 763, 11359, 1899, 568, 1141, 519, 4890, 16937, 9819, 4523, 269, 1280, 1142, 942, 6521, 630, 319, 328, 319, 1070, 519, 1599, 21410, 519, 16937, 607, 519, 6207, 1871, 540, 519, 2040, 540, 519, 1587, 540, 519, 31669, 540, 519, 1101, 3126, 543, 519, 17146, 2034, 3126, 267, 5258, 676, 519, 13662, 291, 543, 519, 3339, 1436, 3815, 269, 901, 2040, 568, 1287, 16611, 676, 2387, 275, 30818, 1345, 269, 4206, 319, 547, 6460, 621, 883, 513, 10155, 1652, 7274, 780, 763, 15795, 1899, 21410, 519, 942, 6521, 630, 319, 1206, 31183, 319, 264, 585, 1142, 16937, 1871, 269, 634, 942, 6521, 568, 3274, 519, 4994, 16611, 676, 519, 942, 1900, 630, 319, 1345, 6155, 339, 319, 6393, 7661, 267, 519, 1599, 7024, 519, 5021, 16937, 543, 519, 942, 6521, 543, 16937, 14249, 269, 634, 5021, 16937, 568, 519, 5207, 1871, 540, 16937, 6913, 585, 1022, 942, 6521, 780, 1607, 1599, 1522, 3100, 1950, 693, 1101, 267, 855, 621, 781, 513, 3532, 1907, 585, 7421, 4908, 3126, 269, 1635, 12719, 519, 16937, 267, 649, 666, 5635, 1079, 3126, 543, 3313, 875, 2147, 789, 616, 269, 901, 666, 581, 3730, 538, 1082, 3156, 267, 971, 607, 16326, 3270, 538, 1239, 267, 7114, 6786, 538, 6846, 267, 543, 9236, 1114, 3631, 780, 1103, 519, 1985, 1770, 267, 649, 786, 1294, 875, 713, 1599, 666, 581, 1031, 538, 513, 1483, 8996, 3498, 269, 13773, 22934, 256, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 1540, 593, 519, 1482, 454, 2018, 1954, 336, 7852, 540, 519, 3119, 3126, 563, 2018, 634, 16937, 568, 519, 6474, 630, 7538, 1242, 6418, 1587, 264, 9087, 519, 1079, 3126, 454, 2018, 12366, 1242, 936, 942, 8488, 543, 4704, 5123, 563, 2018, 28612, 734, 454, 2018, 3126, 273, 476, 815, 536, 1690, 525, 3052, 342, 7116, 2544, 9884, 1511, 845, 2529, 7685, 1843, 454, 2018, 2034, 4908, 3126, 454, 2018, 27666, 323, 825, 815, 10581, 5044, 454, 2018, 1379, 19706, 5860, 454, 2018, 4626, 601, 523, 815, 10581, 454, 2018, 20099, 538, 7643, 540, 942, 6885, 269, 4347, 5435, 476, 272, 563, 2018, 28612, 734, 454, 2018, 2132, 3193, 263, 1478, 331, 777, 1070, 630, 5503, 267, 16937, 994, 1038, 8173, 1038, 562, 25074, 476, 815, 5180, 6025, 574, 601, 523, 270, 1345, 6155, 339, 11924, 272, 454, 1038, 967, 338, 825, 815, 5286, 30784, 1052, 3799, 25074, 9984, 333, 25074, 2260, 273, 692, 1038, 2343, 825, 815, 5286, 28460, 4433, 7685, 273, 269, 1345, 7272, 6055, 263, 1186, 323, 4297, 2608, 5286, 28460, 4311, 269, 1345, 7272, 6055, 263, 1186, 323, 4917, 1038, 521, 272, 318, 935, 329, 815, 5286, 26769, 329, 4311, 8807, 516, 336, 5334, 7685, 2020, 1038, 16937, 815, 5286, 15126, 8443, 275, 30818, 1345, 269, 4206, 265, 12639, 269, 11274, 18828, 27904, 4433, 272, 318, 935, 329, 265, 338, 7685, 273, 11075, 3424, 6958, 516, 336, 5334, 7685, 4311, 6155, 339, 265, 328, 8358, 1186, 323, 4297, 270, 17884, 585, 1775, 538, 967, 338, 3910, 546, 6943, 284, 15615, 994, 1038, 512, 3333, 3424, 476, 815, 967, 338, 265, 1345, 6155, 339, 692, 1038, 2132, 5286, 27982, 263, 1478, 331, 777, 1070, 630, 1206, 31183, 267, 16937, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 13379, 5004, 543, 922, 8177, 593, 17434, 2657, 281, 1323, 769, 3829, 6733, 883, 918, 26234, 595, 10517, 7978, 692, 1015, 269, 272, 4985, 692, 298, 26234, 1212, 335, 7978, 267, 519, 2564, 2165, 585, 519, 1402, 4771, 267, 25305, 267, 610, 8860, 4992, 602, 2049, 950, 596, 1847, 707, 12597, 267, 814, 1831, 5051, 11342, 538, 2221, 781, 2486, 1813, 547, 8375, 8377, 3928, 269, 2755, 891, 4992, 1522, 3100, 20027, 267, 789, 1223, 5815, 5817, 1072, 2152, 971, 607, 30169, 610, 1273, 749, 1993, 655, 7394, 1928, 6794, 269, 901, 3184, 786, 5490, 4514, 883, 519, 2078, 1063, 2597, 2359, 543, 4745, 1072, 676, 3695, 519, 3123, 543, 6286, 540, 12597, 1212, 335, 7978, 269, 1284, 786, 849, 1865, 2732, 3797, 607, 513, 1797, 547, 4383, 2597, 543, 2087, 2949, 4745, 1072, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7419, 4785, 308, 3201, 918, 301, 7417, 623, 8008, 303, 5058, 10758, 10911, 19272, 5058, 281, 595, 3918, 303, 3951, 4785, 454, 2791, 949, 12212, 5873, 25135, 267, 1402, 338, 267, 543, 11523, 956, 950, 596, 18846, 610, 2786 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 1065, 3789, 519, 9661, 1310, 519, 5168, 269, 898, 786, 1118, 519, 9661, 1732, 547, 707, 3988, 269, 1717, 267, 621, 568, 11338, 4105, 547, 2327, 602, 596, 723, 519, 1655, 9623, 543, 711, 4734, 1022, 3877, 856, 269, 19227, 267, 596, 1522, 1439, 909, 609, 513, 6915, 799, 3568, 1025, 1495, 619, 602, 786, 6157, 25010, 519, 9661, 563, 9199, 3431, 267, 1979, 20802, 685, 1292, 3804, 568, 547, 30035, 519, 19586, 532, 540, 606, 1367, 779, 1272, 269, 1677, 798, 713, 267, 519, 2278, 1590, 7519, 519, 2095, 540, 1019, 19012, 942, 543, 1895, 519, 2326, 607, 952, 519, 21233, 666, 20559, 7592, 540, 7209, 543, 6264, 6163, 540, 1995, 269, 634, 1979, 19212, 779, 12588, 547, 1118, 891, 5079, 609, 519, 5351, 540, 3119, 2959, 786, 4137, 856, 519, 2298, 540, 519, 960, 269, 11048, 267, 713, 1184, 568, 513, 1279, 835, 563, 763, 2186, 540, 6915, 814, 922, 5072, 538, 9147, 10255, 543, 849, 7507, 269, 12397, 601, 3780, 13605, 657, 267, 585, 3236, 267, 5950, 1010, 20056, 550, 1756, 14087, 1807, 636, 23554, 2801, 538, 476, 4510, 14514, 269, 13536, 267, 1773, 583, 1105, 5950, 5772, 673, 22032, 267, 513, 4015, 540, 476, 4366, 19777, 540, 12021, 9038, 269, 2672, 17662, 3780, 267, 593, 519, 824, 1688, 267, 5206, 513, 8313, 13886, 1546, 3857, 320, 19332, 636, 630, 4002, 519, 22032, 540, 519, 6970, 525, 1513, 1040, 901, 1433, 814, 2965, 28815, 936, 519, 5553, 563, 18693, 13132, 2968, 3063, 6093, 2429, 519, 4741, 12698, 269, 634, 4936, 7826, 5783, 4299, 519, 9135, 267, 4657, 8978, 22808, 609, 5289, 19777, 269, 634, 7969, 717, 1640, 326, 1470, 23849, 926, 779, 1272, 729, 4922, 9053, 607, 1134, 607, 2968, 835, 540, 519, 1360, 1101, 1655, 23965, 269, 769, 519, 476, 1428, 628, 2540, 267, 19777, 540, 930, 321, 3672, 3323, 547, 1397, 909, 538, 2296, 269, 589, 8037, 3236, 568, 634, 22032, 540, 835, 540, 519, 1034, 4934, 9227, 10266, 1562, 267, 31493, 696, 832, 267, 543, 19296, 563, 18693, 20802, 3068, 3875, 9465, 538, 1603, 513, 6915, 269, 1358, 991, 547, 3442, 1018, 3877, 547, 4540, 543, 849, 4010, 875, 547, 13865, 1125, 621, 269, 589, 6915, 568, 899, 513, 1295, 518, 779, 666, 776, 281, 621, 666, 1683, 721, 24300, 883, 519, 2729, 540, 1346, 945, 5030, 2429, 519, 1974, 538, 799, 519, 6915, 568, 2854, 269, 769, 513, 2147, 1259, 267, 513, 1979, 19212, 568, 4749, 513, 968, 2381, 518, 779, 666, 776, 5608, 2111, 547, 1294, 519, 2104, 540, 1686, 563, 18693, 13132, 849, 2709, 1053, 513, 1259, 547, 2259, 21882, 543, 849, 10992, 856, 5759, 269, 1290, 19397, 513, 12713, 568, 513, 1390, 1259, 547, 1451, 811, 7282, 18825, 596, 2648, 269, 1703, 616, 3875, 2835, 267, 1357, 4609, 267, 543, 849, 27143, 602, 3761, 4245, 827, 19777, 267, 543, 17265, 873, 666, 948, 707, 1053, 1711, 741, 1603, 1983, 269, 901, 666, 849, 581, 513, 1390, 1797, 547, 3635, 741, 2296, 1893, 1983, 563, 10817, 728, 14405, 689, 3573, 11401, 609, 1920, 2818, 543, 27498, 543, 849, 2882, 15982, 1569, 547, 717, 1231, 7921, 269, 5221, 540, 713, 267, 621, 568, 606, 10578, 3575, 540, 4080, 1650, 607, 1134, 607, 1367, 5870, 269, 898, 11338, 2882, 16613, 31150, 5961, 267, 6119, 267, 543, 5961, 563, 2026, 513, 1979, 19212, 267, 707, 6662, 568, 547, 1217, 519, 9661, 540, 513, 1268, 779, 1272, 607, 621, 28807, 269, 28611, 267, 713, 3322, 14443, 532, 519, 2067, 10009, 540, 1019, 19012, 942, 547, 1895, 2472, 602, 7866, 519, 1915, 10305, 267, 6264, 18305, 540, 1995, 267, 543, 3527, 602, 2014, 513, 1164, 3903, 269, 6787, 596, 798, 1134, 610, 2887, 2110, 538, 713, 23072, 267, 707, 1967, 786, 7048, 593, 707, 4390, 547, 2303, 513, 30908, 609, 12225, 1108, 607, 1134, 607, 5031, 2101, 3270, 540, 6208, 563, 289, 3930, 616, 1851, 519, 9998, 3029, 540, 5339, 1568, 269, 5221, 519, 4090, 540, 519, 16380, 267, 4589, 723, 2965, 2756, 582, 9464, 519, 2729, 540, 3532, 2043, 269, 634, 1360, 2038, 22808, 941, 5631, 3140, 5638, 855, 4166, 9715, 2283, 1049, 3344, 607, 1134, 607, 27636, 883, 1514, 3134, 923, 269, 1306, 606, 1383, 267, 18573, 779, 7442, 1108, 15244, 519, 1272, 540, 24198, 282, 519, 717, 28145, 540, 519, 4168, 13411, 23573, 1331, 2185, 22808, 540, 4906, 2441, 269, 769, 519, 13524, 2540, 267, 6276, 18548, 6202, 779, 5020, 540, 15656, 9652, 9927, 519, 19583, 540, 513, 12092, 269, 5345, 534, 570, 2106, 534, 6830, 2458, 1231, 454, 2691, 21882, 513, 6915, 267, 2015, 945, 707, 5304, 568, 269, 1403, 596, 2461, 1603, 621, 585, 513, 960, 3498, 267, 707, 12092, 1058, 2992, 519, 1826, 540, 3077, 2344, 596, 2461, 3843, 547, 3914, 269, 1411, 1058, 849, 1174, 602, 707, 3077, 2344, 1223, 711, 917, 1454, 3823, 596, 269, 16480, 267, 596, 11129, 547, 1869, 723, 519, 2702, 547, 6655, 1344, 7282, 3054, 538, 513, 2312, 267, 13801, 6752, 563, 288, 6915, 540, 513, 4583, 1977, 2797, 6205, 568, 606, 14222, 4781, 952, 596, 2461, 3168, 585, 513, 1433, 602, 3580, 10508, 607, 1134, 607, 679, 13097, 269, 1280, 3236, 267, 10830, 776, 22735, 779, 6915, 540, 4498, 28625, 31793, 2006, 30211, 593, 31793, 2006, 779, 2582, 1272, 269, 1306, 513, 5449, 10553, 267, 31793, 2006, 729, 513, 1883, 4137, 538, 519, 26789, 21805, 269, 2755, 1200, 1367, 4574, 941, 711, 11593, 2139, 547, 12206, 267, 3391, 18949, 539, 1200, 1272, 689, 824, 2959, 269, 4437, 20802, 543, 5312, 6840, 7567, 3365, 7596, 22735, 779, 6915, 607, 519, 3501, 12092, 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 ]
[ 0, 5814, 11885, 607, 5286, 454, 258, 8620, 513, 835, 8820, 5044, 454, 343, 815, 5286, 15126, 8443, 343, 585, 1535, 538, 2039, 263, 272, 267, 1789, 267, 476, 273, 264, 7481, 28744, 519, 3337, 540, 519, 5044, 454, 2745, 630, 343, 17482, 994, 2745, 1535, 454, 258, 22056, 513, 1079, 8820, 5044, 454, 343, 273, 815, 5286, 269, 9795, 31912, 273, 267, 274, 3910, 1496, 274, 267, 275, 3910, 1496, 343, 1262, 275, 585, 1535, 538, 2039, 263, 276, 267, 278, 264, 3910, 1496, 1556, 267, 476, 4510, 3910, 1496, 275, 1262, 273, 267, 476, 274, 1262, 275, 3910, 1496, 276, 267, 476, 278, 316, 7481, 2745, 1535, 273, 454, 2745, 1535, 273, 17482, 454, 258, 31412, 519, 5044, 547, 476, 273, 343, 277, 454, 343, 273, 815, 5286, 269, 31412, 3287, 273, 267, 630, 273, 267, 277, 4917, 2745, 1535, 273, 692, 258, 31412, 519, 5044, 547, 476, 272, 343, 1321, 454, 343, 273, 815, 5286, 269, 31412, 3287, 273, 267, 630, 272, 267, 1321, 4917, 2745, 1535, 273, 454, 258, 9558, 2821, 519, 5044, 454, 343, 273, 815, 5286, 6745, 4920, 2821, 3287, 273, 994, 2745, 1535, 273, 454, 258, 310, 904, 547, 12039, 692, 258, 19340, 532, 1945, 689, 513, 476, 274, 8820, 5044, 1210, 3044, 4994, 532, 454, 343, 274, 815, 5286, 20179, 27110, 263, 271, 267, 14683, 284, 1015, 267, 21653, 14352, 274, 267, 274, 267, 274, 4917, 2745, 1535, 274, 454, 2745, 1535, 274, 314, 272, 6012, 273, 6012, 273, 2639, 258, 19340, 532, 689, 476, 273, 5937, 5044, 267, 2582, 3887, 2211, 4994, 532, 454, 343, 275, 815, 5286, 20179, 27110, 263, 271, 267, 1789, 267, 2450, 14352, 275, 267, 276, 4917, 2745, 1535, 275, 454, 258, 19340, 532, 3842, 5044, 454, 343, 320, 815, 1535, 275, 314, 12639, 15126, 8443, 273, 267, 273, 267, 274, 267, 273, 8079, 2639, 2745, 1535, 320, 692, 258, 19340, 3842, 14253, 532, 476, 272, 1673, 454, 343, 274, 815, 5286, 20179, 27110, 263, 271, 267, 14683, 284, 1015, 267, 21653, 14352, 1839, 4917, 2745, 1535, 274, 314, 274, 281, 1015, 2639, 258, 19340, 3842, 14253, 532, 609, 3268, 454, 343, 274, 815, 5286, 20179, 27110, 263, 271, 267, 14683, 284, 1015, 267, 21653, 14352, 2767, 4917, 2745, 1535, 274, 314, 275, 281, 1015, 281, 274, 6540, 258, 19340, 3842, 14253, 532, 530, 270, 513, 476, 273, 5937, 5044, 454, 343, 274, 815, 5286, 20179, 27110, 263, 271, 267, 14683, 284, 1015, 267, 21653, 14352, 276, 267, 276, 4917, 2745, 1535, 274, 454, 2745, 1535, 274, 314, 272, 281, 274, 267, 476, 273, 281, 275, 6540, 258, 8161, 609, 14248, 2354, 529, 543, 476, 273, 1673, 5044, 454, 2745, 1535, 274, 314, 24222, 274, 6540, 258, 292, 961, 2354, 529, 4994, 532, 609, 476, 274, 1673, 5044, 454, 343, 274, 815, 5286, 20179, 27110, 263, 271, 267, 14683, 284, 1015, 267, 21653, 14352, 274, 267, 274, 267, 278, 4917, 2745, 1535, 274, 454, 2745, 1535, 274, 314, 24222, 273, 2639, 0, 5814, 4351, 454, 5035, 8827, 24998, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 8953, 267, 1535, 318, 22487, 267, 586, 318, 22487, 2187, 1038, 8173, 1038, 2433, 6943, 8953, 281, 10581, 454, 1038, 2433, 6943, 1535, 318, 22487, 281, 10581, 454, 1038, 2433, 6943, 586, 318, 22487, 281, 10581, 454, 1038, 8173, 1038, 1582, 269, 31709, 815, 8953, 454, 1038, 1582, 11859, 318, 22487, 815, 1535, 318, 22487, 454, 1038, 1582, 13885, 318, 22487, 815, 586, 318, 22487, 692, 825, 1219, 28219, 11592, 4311, 2187, 1038, 8173, 1038, 2433, 337, 6943, 281, 5903, 314, 15615, 2639, 1038, 8173, 1038, 1247, 476, 272, 912, 2018, 1535, 815, 4351, 26509, 6134, 4311, 11859, 318, 22487, 910, 1582, 269, 31709, 2676, 4449, 25639, 1582, 11859, 318, 22487, 1341, 1582, 269, 31709, 994, 2018, 586, 815, 4351, 26509, 6134, 4311, 13885, 318, 22487, 910, 1582, 269, 31709, 2676, 4449, 25639, 1582, 13885, 318, 22487, 1341, 1582, 269, 31709, 994, 2018, 952, 630, 343, 910, 1582, 11859, 318, 22487, 264, 1262, 273, 1341, 630, 344, 910, 1582, 13885, 318, 22487, 264, 1262, 273, 10922, 1582, 269, 31709, 1262, 273, 912, 3546, 2736, 454, 1038, 2132, 1496, 343, 267, 586, 2639, 0, 12163, 27843, 269, 12476, 476, 278, 454, 27843, 269, 476, 4970, 481, 13213, 505, 10254, 370, 12255, 454, 14756, 503, 27936, 22047, 10533, 368, 12255, 8147, 16533, 484, 10429, 370, 420, 377, 361, 25060, 500, 20992, 278, 13213, 505, 10254, 370, 8147, 23946, 370, 23284, 21211, 31033, 4970, 366, 25051, 351, 19764, 493, 27447, 24731, 12486, 692, 419, 353, 374, 28032, 489, 476, 272, 1384, 27447, 24662, 281, 476, 1911, 454, 27447, 24731, 281, 834, 1708, 4840, 419, 353, 374, 28032, 489, 476, 273, 1384, 27447, 24662, 281, 910, 278, 454, 27447, 24731, 281, 29038, 1015, 4840, 21796, 357, 418, 482, 493, 281, 476, 27447, 24662, 420, 490, 481, 18713, 368, 15159, 1109, 15631, 272, 324, 278, 267, 476, 272, 324, 278, 6540, 20701, 5035, 8827, 24998, 2187, 825, 1219, 6460, 2414, 26015, 278, 4311, 267, 1003, 2187, 1038, 8173, 1038, 2433, 6943, 1003, 281, 703, 454, 1038, 2433, 337, 6943, 281, 1193, 454, 1038, 8173, 1038, 952, 1003, 2652, 476, 271, 912, 2018, 2132, 834, 271, 4840, 1038, 1225, 19617, 815, 2612, 16325, 994, 1038, 1225, 18360, 815, 834, 4840, 1038, 1247, 1225, 19617, 11203, 476, 271, 912, 2018, 1225, 18360, 6834, 1193, 263, 2017, 19617, 260, 278, 994, 2018, 1225, 19617, 1315, 284, 476, 278, 454, 1038, 1225, 18360, 815, 834, 2668, 21860, 263, 516, 951, 539, 263, 2017, 18360, 4917, 1038, 2132, 1225, 18360, 952, 1003, 3436, 476, 271, 3116, 29038, 257, 1341, 1225, 18360, 454, 0, 3698, 3406, 19906, 267, 1535, 8029, 825, 585, 1775, 538, 2039, 12759, 19906, 264, 2567, 5897, 1038, 952, 2855, 5157, 316, 2652, 1535, 6769, 2018, 2132, 1775, 5897, 825, 2132, 910, 272, 24653, 1551, 815, 1496, 1015, 267, 476, 736, 267, 476, 1789, 267, 476, 2412, 15947, 337, 815, 3406, 19906, 267, 476, 1015, 3418, 604, 678, 11203, 910, 272, 6769, 825, 1820, 2891, 292, 2211, 568, 1459, 693, 4994, 2580, 1193, 16868, 17903, 12828, 6769, 825, 1820, 2891, 292, 2211, 568, 711, 1459, 538, 5044, 14744, 337, 815, 3406, 19906, 267, 271, 3418, 604, 678, 11203, 910, 272, 6769, 825, 1820, 2891, 292, 2211, 568, 1459, 693, 4994, 2580, 1193, 16868, 17903, 12828, 6769, 825, 1820, 2891, 292, 2211, 568, 711, 1459, 538, 5044, 8442, 0, 5814, 11885, 607, 5286, 454, 5228, 4351, 1104, 695, 28984, 454, 5814, 1085, 27251, 4732, 27785, 692, 3698, 2571, 10946, 9078, 1601, 318, 3534, 633, 263, 9064, 267, 2473, 267, 586, 267, 1036, 2187, 476, 8173, 476, 9941, 10946, 2530, 1599, 267, 14255, 633, 6388, 630, 5976, 17787, 994, 476, 18452, 338, 912, 476, 910, 23940, 281, 546, 1535, 918, 9936, 5119, 269, 3962, 6241, 568, 513, 11664, 6152, 585, 1362, 737, 454, 476, 910, 2473, 281, 544, 1535, 546, 5044, 540, 1239, 269, 4578, 616, 546, 8820, 9343, 563, 476, 910, 586, 281, 476, 272, 8820, 5044, 540, 3259, 544, 609, 10297, 476, 271, 1862, 298, 268, 272, 267, 585, 918, 5049, 454, 476, 910, 1036, 281, 630, 15615, 264, 2834, 1436, 4222, 454, 476, 16849, 912, 476, 513, 24042, 540, 912, 476, 910, 2530, 607, 2582, 10581, 454, 476, 910, 13506, 609, 2463, 547, 9936, 5119, 23940, 267, 606, 5044, 540, 1482, 2450, 607, 23940, 454, 476, 8173, 476, 1948, 19461, 1125, 519, 2530, 543, 13506, 547, 4642, 780, 476, 808, 815, 476, 271, 269, 271, 454, 476, 5552, 815, 5286, 25910, 318, 3697, 263, 9064, 994, 476, 544, 267, 3897, 815, 2473, 17482, 692, 476, 476, 19399, 19399, 5992, 7462, 454, 476, 1948, 570, 7495, 302, 281, 30770, 519, 2571, 10946, 2530, 543, 922, 13506, 1210, 8763, 17787, 269, 672, 1948, 454, 476, 1948, 15188, 519, 2530, 538, 808, 543, 519, 13506, 538, 5552, 269, 1403, 596, 616, 711, 23526, 1948, 454, 476, 1948, 6297, 1934, 267, 621, 568, 2653, 547, 2196, 883, 25948, 16132, 269, 5213, 1405, 7340, 825, 1948, 454, 476, 1948, 519, 2834, 1436, 2165, 256, 14030, 4449, 476, 1948, 454, 476, 476, 19399, 19399, 5992, 7462, 454, 476, 585, 1775, 538, 1535, 9792, 9852, 2187, 1038, 585, 737, 538, 1535, 9792, 263, 9064, 17482, 314, 272, 316, 2187, 2018, 512, 815, 2473, 5157, 4940, 25346, 263, 9064, 994, 2018, 21000, 815, 2040, 18828, 269, 10339, 6025, 2173, 1314, 6025, 21875, 2018, 2625, 815, 5286, 269, 10339, 11583, 5157, 4940, 25346, 263, 9064, 11053, 25208, 8079, 268, 10946, 6025, 4297, 1315, 21000, 454, 2018, 594, 815, 476, 272, 952, 586, 5157, 316, 2652, 737, 3116, 476, 271, 454, 2018, 808, 6834, 910, 272, 32220, 332, 2608, 594, 2608, 5286, 28802, 263, 22238, 994, 2018, 5552, 11053, 25208, 316, 6834, 910, 272, 32220, 332, 2608, 2473, 5157, 30297, 630, 296, 910, 2625, 994, 476, 808, 6834, 1036, 14370, 273, 30818, 332, 264, 2608, 5286, 27904, 263, 9064, 2878, 476, 273, 994, 476, 5552, 6834, 476, 272, 30818, 2958, 8276, 2608, 23940, 454, 476, 476, 19399, 19399, 5992, 7462, 454, 476, 1948, 4449, 16875, 13673, 291, 5508, 22400, 2910, 14701, 14030, 1948, 454, 476, 476, 19399, 19399, 5992, 7462, 692, 476, 2132, 808, 267, 5552, 692, 22322, 3698, 2571, 10946, 9078, 1601, 318, 19066, 1242, 263, 9064, 267, 2473, 267, 586, 267, 1036, 2187, 476, 8173, 476, 9941, 10946, 2530, 1599, 267, 6152, 1242, 4528, 563, 476, 18452, 338, 543, 17016, 616, 519, 1482, 607, 2571, 10946, 9078, 1601, 318, 3534, 633, 563, 476, 8173, 476, 1948, 19461, 1125, 519, 2530, 543, 13506, 547, 4642, 780, 476, 808, 815, 476, 271, 269, 271, 454, 476, 5552, 815, 5286, 25910, 318, 3697, 263, 9064, 994, 476, 544, 267, 3897, 815, 2473, 17482, 692, 476, 476, 19399, 19399, 5992, 7462, 454, 476, 1948, 570, 7495, 302, 281, 30770, 519, 2571, 10946, 2530, 543, 922, 13506, 1210, 1100, 8763, 17787, 269, 476, 1948, 454, 476, 1948, 15188, 519, 2530, 538, 808, 543, 519, 13506, 538, 5552, 269, 1403, 596, 616, 711, 6297, 8587, 1948, 454, 476, 1948, 1934, 267, 621, 568, 2653, 547, 2196, 883, 25948, 16132, 269, 5213, 1405, 7340, 519, 1038, 1948, 454, 476, 1948, 2834, 1436, 2165, 256, 14030, 4449, 8587, 1948, 454, 476, 476, 19399, 19399, 5992, 7462, 692, 476, 1319, 815, 5286, 269, 785, 1182, 9230, 332, 267, 476, 1015, 4297, 314, 272, 2639, 476, 594, 815, 630, 3901, 11053, 2525, 344, 12684, 272, 269, 271, 454, 476, 512, 815, 2473, 31715, 263, 9064, 994, 476, 533, 815, 5286, 269, 10339, 6025, 11053, 910, 5286, 27982, 6025, 267, 7852, 284, 272, 4297, 3097, 476, 2625, 815, 533, 270, 12639, 27904, 9638, 267, 7852, 284, 271, 994, 476, 808, 815, 910, 272, 32220, 332, 2608, 5286, 27904, 263, 296, 2608, 5286, 28802, 263, 22238, 4297, 1341, 1036, 14370, 273, 30818, 332, 264, 2608, 5286, 27904, 263, 9064, 2878, 476, 273, 994, 22322, 476, 5552, 815, 910, 272, 32220, 332, 2608, 630, 296, 3491, 321, 1040, 25346, 11583, 1040, 307, 1341, 476, 272, 30818, 2958, 8276, 265, 9064, 692, 476, 476, 19399, 19399, 5992, 7462, 454, 476, 1948, 4449, 16875, 13673, 291, 5508, 22400, 2910, 14701, 14030, 1948, 454, 476, 476, 19399, 19399, 5992, 7462, 692, 476, 2132, 808, 267, 5552, 454, 0, 3698, 1305, 4226, 263, 2421, 974, 267, 15558, 267, 1871, 2187, 825, 8173, 1038, 5590, 513, 3787, 538, 513, 31632, 547, 476, 272, 952, 1871, 568, 959, 583, 1506, 267, 476, 271, 952, 711, 563, 825, 8173, 825, 952, 1871, 912, 1038, 2132, 31632, 1923, 630, 272, 24177, 15558, 994, 825, 3116, 912, 1038, 2132, 31632, 1299, 9625, 263, 272, 24177, 15558, 9239, 3698, 1205, 4226, 263, 2421, 974, 267, 15558, 2187, 825, 9633, 815, 476, 272, 24177, 15558, 454, 825, 2132, 536, 944, 263, 2421, 974, 1299, 9633, 994, 0, 3698, 7060, 564, 263, 6783, 2187, 825, 27666, 815, 20886, 27663, 825, 585, 1775, 538, 5044, 912, 1038, 27666, 6834, 1496, 343, 1341, 1496, 6783, 5157, 14963, 585, 1535, 538, 27666, 2639, 825, 2132, 27666, 692, 2745, 7060, 564, 8443, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 7481, 0, 3698, 5569, 303, 1069, 20706, 30415, 2187, 825, 556, 345, 815, 29129, 825, 952, 7003, 30415, 264, 2999, 476, 273, 912, 1038, 556, 345, 6910, 30415, 994, 825, 3116, 912, 1038, 585, 2990, 538, 2039, 12759, 30415, 15892, 2018, 829, 916, 815, 5569, 11468, 6570, 316, 1341, 5569, 314 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2708, 707, 7207, 269, 898, 568, 2009, 547, 3035, 513, 7556, 689, 513, 10448, 4677, 593, 513, 9486, 650, 1152, 952, 4998, 2175, 616, 3177, 269, 1656, 1101, 540, 782, 910, 2953, 8654, 269, 769, 519, 2376, 267, 649, 3181, 6064, 519, 14868, 827, 3395, 16719, 543, 5388, 693, 1753, 543, 834, 9526, 257, 513, 1483, 4605, 540, 513, 10448, 4677, 593, 519, 9486, 650, 563, 763, 4677, 593, 519, 9486, 650, 910, 14868, 543, 4641, 454, 8722, 2137, 540, 3395, 14274, 593, 513, 9486, 650, 454, 8253, 782, 14274, 786, 7703, 4829, 10731, 569, 693, 1753, 267, 621, 568, 1732, 547, 3442, 1970, 21212, 2038, 8677, 267, 585, 1383, 267, 834, 30153, 4055, 2580, 834, 291, 889, 758, 2580, 834, 300, 657, 330, 341, 747, 2580, 834, 289, 976, 2967, 2580, 834, 299, 8014, 30132, 2580, 3092, 269, 6969, 521, 12976, 267, 519, 5452, 1590, 581, 5701, 609, 513, 15459, 3070, 540, 11379, 7989, 22462, 622, 585, 476, 272, 268, 273, 3764, 269, 901, 786, 6861, 519, 13596, 540, 3735, 1025, 697, 543, 824, 3676, 269, 2991, 602, 267, 519, 5452, 616, 12015, 267, 521, 1144, 538, 6079, 1782, 10833, 267, 799, 616, 5116, 538, 513, 3636, 1747, 267, 4988, 609, 4837, 269, 2991, 519, 11944, 540, 22534, 267, 519, 10833, 616, 11843, 547, 513, 1769, 539, 1747, 267, 543, 519, 4837, 568, 6569, 269, 8751, 10633, 1332, 3533, 267, 543, 1310, 476, 276, 268, 278, 2395, 596, 991, 547, 4685, 269, 2311, 713, 1448, 267, 519, 19155, 786, 723, 513, 1483, 6978, 269, 4438, 519, 4584, 267, 5402, 4894, 835, 2030, 689, 519, 2666, 267, 2759, 1055, 519, 3597, 9133, 543, 13003, 519, 19155, 835, 676, 835, 883, 513, 838, 20160, 1494, 269, 1280, 519, 3037, 267, 596, 666, 946, 513, 7848, 540, 1208, 639, 267, 32005, 543, 5070, 267, 3144, 538, 3160, 2694, 563, 4415, 1434, 8654, 543, 513, 2837, 540, 693, 2547, 476, 736, 11019, 595, 267, 519, 19155, 1332, 3533, 267, 596, 1175, 991, 547, 4894, 519, 3268, 976, 543, 1216, 873, 538, 942, 267, 855, 693, 519, 1482, 942, 798, 711, 1450, 1216, 8421, 3101, 269, 2776, 12413, 754, 1216, 585, 12555, 269, 1280, 519, 6604, 540, 16507, 3676, 267, 10936, 609, 513, 3070, 540, 645, 867, 324, 14513, 5277, 269, 1677, 798, 713, 267, 23271, 476, 1015, 575, 540, 7601, 23253, 538, 476, 272, 2148, 540, 1216, 269, 3973, 32561, 476, 736, 575, 540, 1793, 8898, 18654, 538, 476, 1911, 575, 540, 1216, 269, 17186, 519, 15559, 543, 1184, 519, 19155, 563, 2414, 3542, 3729, 14274, 476, 273, 268, 274, 2053, 513, 3018, 267, 7148, 519, 5810, 593, 519, 26814, 269, 1656, 950, 519, 1292, 851, 540, 519, 4829, 568, 13615, 267, 4894, 519, 25568, 689, 1142, 2030, 543, 2759, 1055, 1022, 1007, 8768, 26814, 269, 901, 786, 3895, 30553, 563, 1432, 666, 581, 6738, 538, 513, 1753, 4677, 454, 8253, 782, 4677, 7031, 616, 5078, 585, 1753, 14713, 269, 3509, 540, 873, 2154, 2230, 910, 1804, 15135, 267, 513, 2620, 4494, 540, 15417, 3037, 267, 513, 1713, 3845, 1063, 1367, 2371, 269, 1809, 972, 616, 1346, 945, 786, 723, 2614, 2230, 593, 519, 9486, 650, 269, 3371, 568, 513, 1592, 540, 873, 269, 29641, 281, 14274, 267, 31480, 267, 2234, 8460, 267, 17436, 267, 10365, 267, 6653, 18717, 267, 3905, 18717, 563, 763, 2640, 540, 513, 1753, 9910, 2389, 1144, 616, 711, 3908, 547, 3478, 513, 4195, 7556, 782, 1032, 5180, 543, 519, 4316, 547, 533, 600, 704, 3054, 609, 8324, 538, 519, 1647, 540, 5162, 269, 898, 781, 849, 513, 1390, 1259, 547, 4308, 609, 519, 17613, 540, 4948, 1272, 269, 23875, 865, 582, 1127, 519, 13285, 543, 6770, 873, 547, 513, 18900, 1533, 899, 2502, 538, 513, 5172, 543, 3730, 15908, 585, 519, 2898, 1920, 563, 8967, 5390, 268, 541, 11703, 11922, 281, 546, 650, 267, 24958, 267, 1351, 328, 6387, 267, 535, 3317, 601, 267, 16815, 1889, 267, 7626, 1146, 334, 267, 2261, 329, 528, 600, 267, 13545, 16400, 267, 1094, 742, 1258, 267, 20511, 267, 11993, 2545, 332, 267, 9782, 4424, 267, 524, 6058, 269, 4033, 7031, 281, 4677, 12450, 9440, 267, 12566, 20625, 267, 20909, 563, 2026, 513, 2462, 19997, 24158, 267, 594, 1223, 711, 267, 540, 1576, 267, 11716, 621, 269, 901, 2528, 568, 513, 2370, 811, 14053, 982, 3039, 19637, 543, 1216, 322, 816, 267, 855, 585, 519, 30861, 16719, 621, 568, 4502, 519, 4674, 269, 1548, 798, 596, 991, 547, 2015, 888, 268, 17616, 267, 23858, 693, 1753, 2115, 3606, 8654, 910, 713, 568, 513, 1769, 2000, 8221, 2528, 269, 19768, 540, 8654, 786, 1291, 547, 2038, 7895, 684, 2193, 5250, 269, 634, 1966, 568, 13148, 12193, 676, 519, 3903, 540, 8677, 269, 1280, 803, 267, 1412, 299, 18099, 17664, 320, 262, 543, 1412, 299, 18099, 645, 542, 6767, 262, 630, 3240, 29202, 264, 849, 4363, 519, 8677, 1412, 6124, 5729, 3299, 1412, 24791, 3299, 1412, 28770, 12245, 700, 864, 262, 585, 1753, 10651, 563, 268, 19627, 267, 23858, 23465, 1928, 2685, 547, 10980, 543, 3002, 281, 519, 3762, 1831, 21432, 543, 15280, 267, 8768, 26106, 802, 1106, 3533, 563, 268, 12059, 569, 267, 23858, 22534, 991, 547, 581, 6094, 2740, 269, 898, 568, 5227, 547, 798, 713, 7466, 281, 513, 3018, 1310, 519, 11944, 540, 19155, 693, 513, 3845, 540, 476, 272, 268, 273, 4699, 1063, 19155, 267, 543, 538, 519, 5123, 540, 476, 273, 268, 274, 3020, 3762, 910, 693, 513, 3845, 540, 476, 275, 268, 276, 4699, 28560, 596, 5394, 523, 519, 7031, 267, 519, 2371, 786, 12701, 856, 267, 14020, 267, 543, 596, 616, 1034, 2693, 547, 7556, 2073, 596, 786, 711, 1294, 563, 21930, 23858, 2371, 269, 17421, 676, 519, 2278, 454, 5804, 3395, 2212, 23858, 693, 1753, 267, 621, 568, 1732, 547, 20549, 2394, 972, 568, 2614, 1995, 281, 789, 616, 811, 14053, 543, 991, 811, 6297, 1416, 982, 741, 21364, 30980, 267, 543, 741, 3395, 4005, 267, 607, 513, 4341, 267, 568, 3476, 269, 1677, 581, 9237, 267, 594, 1705, 711, 1256, 2119, 547, 1332, 23858, 693, 1753, 547, 519, 3044, 7306, 602, 621, 10301, 538, 519, 4677, 910, 13035, 1762, 3762, 941, 2614, 585, 803, 269, 1809, 267, 952, 2230, 14998, 267, 543, 972, 616, 2175, 5078, 585, 513, 19997, 267, 621, 568, 3833, 2009, 547, 1205, 1804, 19093, 563, 31995, 543, 12391, 585, 24958, 13964, 454, 2252, 596, 666, 30107, 540, 2348, 513, 1507, 8511, 543, 513, 1804, 2179, 540, 8513, 693, 707, 4832, 32119, 267, 1287, 3395, 24958, 689, 5452, 585, 19155, 568, 5078, 585, 596, 269, 5438, 27624, 22254, 798, 711, 4363, 9544, 25970, 6371, 2047, 883, 1930, 3037, 282, 621, 568, 1655, 547, 946, 519, 8511, 1505, 563, 306, 12976, 3039, 2528, 585, 19155, 568, 5645, 856, 538, 2038, 4989, 269, 634, 3037, 568, 5423, 593, 519, 4493, 540, 11003, 267, 1208, 639, 543, 5070, 2848, 3139, 538, 513, 3002, 8602, 269, 1879, 9140, 513, 4712, 13402, 14041, 267, 1521, 621, 609, 28546, 30950, 514, 610, 513, 11379, 7989, 22462, 622, 3070, 547, 21149, 621, 269, 29092, 568, 521, 1144, 538, 5423, 8511, 10833, 547, 513, 3178, 540, 476, 272, 4699, 269, 1358, 616, 849, 4988, 609, 4837, 610, 23240, 563, 31995, 24958, 538, 513, 8511, 568, 513, 2241, 1184, 267, 621, 568, 2614, 547, 1216, 519, 6371, 267, 9319, 1216, 8421, 3101, 540, 519, 3037, 269, 2991, 519, 5250, 540, 519, 1101, 6292, 540, 3762, 267, 519, 2030, 546, 1161, 883, 3677, 11149, 269, 8381, 11849, 1590, 581, 3773, 547, 519, 5423, 14041, 269, 6969, 13003, 532, 19155, 883, 1930, 3037, 267, 789, 991, 547, 581, 10917, 1229, 3544, 585, 513, 3018, 610, 513, 3368, 269, 898, 568, 5227, 547, 13003, 10424, 6371, 883, 519, 4677, 693, 519, 1439, 540, 2904, 267, 950, 519, 3463, 540, 15470, 814, 5293, 563, 5353, 29290, 540, 12391, 585, 519, 4677, 454, 15368, 559, 27422, 1769, 539, 2127, 609, 15792, 24106, 269, 10705, 4832, 7264, 2259, 3395, 7031, 538, 519, 2282, 2389, 337, 6064, 10580, 540, 1762, 4054, 602, 798, 711, 2285, 12094, 267, 855, 2149, 519, 2030, 902, 689, 519, 12798, 563, 763, 1858, 1141, 519, 24958, 786, 581, 12630, 1590, 581, 25653, 909, 538, 4434, 267, 23353, 609, 1208, 639, 269, 1280, 9544, 267, 9475, 616, 1500, 693, 513, 3845, 540, 476, 1428, 268, 736, 4699, 269, 634, 12630, 19155, 616, 530, 23926, 10731, 569, 563, 10702, 1416, 5161, 538, 649, 5338, 267, 6992, 1944, 519, 8513, 269, 4826, 532, 568, 5645, 856, 607, 519, 3037, 1743, 625, 909, 269, 1684, 711, 936, 4777, 621, 609, 18168, 267, 1317, 6382, 267, 621, 666, 1291, 547, 519, 1646, 540, 1585, 3676, 563, 2414, 12954, 519, 1646, 540, 3039, 2527, 267, 24958, 568, 6992, 1242, 609, 21193, 19745, 657, 6390, 630, 273, 26486, 540, 6219, 616, 1031, 585, 476, 1321, 20990, 540, 1216, 1040, 898, 568, 5227, 547, 4163, 856, 971, 513, 5650, 476, 1691, 2395, 1310, 13003, 532, 519, 26965, 883, 1930, 3037, 563, 2026, 596, 666, 1294, 267, 519, 14713, 540, 24958, 666, 581, 5645, 856, 1312, 593, 519, 9486, 650, 543, 538, 519, 1930, 2361, 269, 634, 1292, 3364, 568, 547, 1246, 782, 519, 3652, 585, 12391, 585, 3039, 6371, 267, 5848, 523, 519, 3037, 538, 513, 12905, 6073, 267, 543, 6992, 1125, 519, 26965, 269, 634, 2953, 1935, 547, 713, 1184, 18715, 513, 29667, 3814, 7556, 563, 1015, 2010, 540, 3039, 2044, 547, 1332, 593, 519, 2545, 935, 344, 281, 1753, 4677, 454, 12709, 1315, 9669, 1299, 14313, 1315, 12567, 543, 18140, 1315, 476, 1015, 9537, 540, 7195, 935, 344, 13983, 839, 281, 5851, 12567, 454, 288, 2088, 9045, 267, 476, 1839, 4455, 476, 1708, 271, 476, 5881, 281, 866, 281, 2641, 1341, 27157, 271, 454, 3383, 596, 1616, 547, 979, 856, 5196, 519, 2545, 935, 344, 543, 4584, 4195, 29549, 16719, 585, 12129, 267, 5402, 6738, 609, 707, 1378, 3946, 1510, 5739, 6464, 269, 4270, 267, 610, 693, 2547, 689, 519, 9486, 650, 630, 604, 972, 568, 1100, 2545, 935, 344, 1040, 19663, 3039, 2044, 693, 1753, 568, 513, 16990, 543, 3730, 2534, 602, 1152, 4667, 2352, 630, 514, 519, 2034, 1032, 540, 19887, 12202, 267, 596, 786, 2907, 1745, 899, 513, 3318, 1040, 1280, 707, 3007, 910, 476, 1015, 2010, 540, 16719, 585, 1753, 14713, 563, 1692, 547, 1332, 19637, 593, 513, 9486, 650, 454, 2467, 568, 4986, 4443, 982, 3395, 3039, 19637, 693, 1753, 269, 2201, 687, 798, 711, 2154, 1022, 2027, 1416, 267, 9428, 3533, 267, 616, 2635, 543, 2653, 547, 1332, 269, 634, 1034, 2442, 1259, 602, 17990, 2230, 538, 606, 19887, 568, 3395, 19637, 538, 513, 5068, 2947, 2000, 3438, 11480, 630, 933, 1118, 9475, 267, 6445, 873, 609, 3618, 543, 2030, 519, 840, 27940, 8898, 22323, 5036, 1040, 2201, 542, 14560, 5848, 3037, 543, 5210, 540, 476, 1240, 268, 736, 5232, 269, 0, 2419, 668, 25593, 476, 1428, 267, 5940, 531, 2558, 529, 3912, 476, 1428, 336, 568, 606, 5393, 4686, 9606, 10095, 4524, 538, 799, 519, 1439, 630, 23251, 531, 264, 6712, 540, 519, 1279, 6186, 630, 336, 264, 540, 519, 476, 1428, 628, 15694, 5526, 1614, 2053, 630, 339, 5142, 3912, 264, 2864, 982, 7466, 538, 2281, 540, 519, 1560, 563, 1432, 1281, 959, 529, 3912, 476, 1428, 5815, 888, 300, 6242, 545, 959, 529, 3912, 476, 1428, 568, 513, 4686, 9606, 10095, 31096, 6794, 21246, 958, 6353, 676, 12499, 17458, 710, 2208, 19231, 267, 22787, 13487, 22114, 630, 514, 743, 269, 5887, 14152, 543, 693, 7434, 31027, 531, 12889, 267, 14664, 13811, 639, 12091, 3930, 639, 264, 543, 22623, 1470, 325, 18432, 7988, 332, 6973, 1143, 630, 514, 743, 563, 4692, 596, 2661, 609, 959, 529, 3912, 476, 1428, 888, 307, 5142, 3912, 476, 1428, 568, 606, 5393, 4686, 9606, 10095, 2783, 538, 2661, 24570, 269, 634, 1981, 540, 959, 529, 3912, 476, 1428, 4679, 609, 14774, 2085, 269, 13159, 959, 529, 3912, 476, 1428, 568, 711, 15095, 609, 1272, 269, 12580, 540, 24463, 959, 529, 3912, 476, 1428, 949, 1331, 2208, 8488, 1354, 610, 1310, 4332, 267, 7214, 9659, 267, 543, 3982, 11132, 2934, 563, 1432, 4523, 952, 596, 723, 606, 3063, 476, 1428, 15694, 888, 291, 340, 6473, 540, 513, 3148, 540, 519, 1279, 630, 336, 264, 6186, 540, 15694, 476, 1428, 666, 1267, 538, 476, 1428, 336, 1556, 268, 336, 1724, 5918, 6473, 6794, 630, 16632, 1428, 336, 6794, 1070, 513, 2783, 4171, 2934, 666, 1331 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1715, 10215, 630, 301, 313, 264, 2842, 3484, 6846, 3044, 1247, 519, 29517, 6846, 3044, 568, 1759, 593, 519, 3162, 8241, 3044, 1070, 1305, 676, 519, 4058, 1599, 610, 1305, 676, 519, 1533, 8116, 3743, 585, 2825, 2359, 543, 7939, 563, 5319, 7593, 540, 4441, 543, 11863, 2175, 849, 9775, 676, 16278, 543, 519, 1826, 540, 4441, 269, 1280, 519, 1034, 851, 267, 972, 616, 1100, 14942, 10220, 20894, 20816, 538, 1747, 1107, 2864, 267, 10220, 12346, 593, 8128, 8391, 543, 14236, 20286, 610, 16957, 23563, 540, 11863, 610, 12689, 2175, 269, 634, 13374, 547, 1118, 513, 10220, 24255, 610, 14336, 566, 1586, 9775, 676, 16278, 543, 1826, 540, 24255, 269, 769, 930, 2665, 519, 1533, 2825, 26273, 666, 4309, 543, 8495, 6846, 610, 2825, 20286, 267, 538, 824, 2665, 621, 949, 581, 513, 2199, 14643, 267, 1533, 4058, 8257, 610, 519, 4143, 8241, 6554, 8257, 563, 2005, 568, 1419, 15458, 547, 2146, 2818, 1141, 610, 945, 789, 1058, 561, 17690, 513, 24255, 3823, 10220, 269, 12020, 14998, 949, 711, 2141, 5693, 1533, 519, 12477, 543, 9021, 538, 2543, 547, 10220, 23388, 267, 6862, 949, 789, 21559, 513, 1184, 585, 7829, 1761, 610, 4890, 1875, 10687, 20869, 269, 4329, 267, 2199, 5646, 15078, 543, 1533, 4058, 3252, 949, 711, 723, 519, 2556, 1983, 543, 6791, 547, 6023, 543, 8495, 513, 10220, 24255, 269, 8549, 8041, 267, 971, 607, 519, 11162, 6052, 3204, 15975, 267, 7048, 593, 513, 2312, 1620, 540, 519, 3743, 267, 1533, 2861, 10220, 6392, 543, 519, 6392, 779, 5796, 952, 519, 3204, 15975, 568, 547, 2015, 9117, 593, 31482, 540, 1875, 10687, 20869, 610, 21556, 540, 513, 1876, 563, 11328, 13133, 566, 543, 3117, 29548, 540, 11621, 454, 8072, 289, 6563, 539, 685, 4441, 666, 581, 2352, 547, 4218, 3433, 610, 17997, 952, 513, 7014, 814, 711, 1044, 2919, 585, 519, 2199, 16278, 269, 1306, 606, 1383, 267, 519, 715, 313, 6846, 3044, 630, 4310, 538, 15117, 543, 31005, 807, 264, 814, 513, 1523, 540, 1970, 543, 1164, 21443, 640, 13664, 2127, 585, 8159, 519, 3617, 6846, 7182, 585, 513, 2842, 3484, 269, 15117, 779, 4058, 10325, 1281, 711, 5581, 971, 2127, 267, 1818, 621, 2352, 547, 4612, 543, 4019, 519, 715, 313, 3044, 2048, 553, 568, 685, 538, 519, 16972, 2796, 630, 5408, 22216, 787, 10326, 6489, 12426, 623, 1399, 13456, 642, 27508, 14662, 1299, 2107, 338, 476, 966, 290, 2969, 476, 31973, 1916, 296, 1087, 1132, 723, 849, 818, 17470, 3823, 519, 3498, 540, 512, 4689, 6846, 20507, 3177, 585, 538, 519, 715, 313, 3044, 269, 634, 3498, 540, 519, 3044, 568, 1930, 547, 7664, 538, 602, 2543, 267, 543, 15117, 20081, 553, 2006, 807, 1590, 7048, 593, 12496, 689, 1715, 10215, 5480, 18659, 547, 12172, 519, 3044, 779, 3498, 269, 901, 666, 581, 513, 2352, 2339, 547, 8207, 267, 3226, 538, 519, 2680, 519, 7664, 814, 849, 1044, 513, 1888, 540, 7521, 538, 1715, 10215, 3294, 630, 5408, 17423, 540, 24651, 8189, 619, 556, 6022, 1067, 8725, 3345, 4975, 7027, 642, 1715, 10215, 6489, 325, 15767, 13456, 1107, 5437, 476, 1001, 278, 1916, 23777, 673, 4441, 543, 11863, 4170, 4143, 547, 513, 1788, 779, 1646, 543, 5106, 666, 1331, 6927, 971, 607, 2912, 1043, 6846, 267, 14692, 31300, 518, 267, 3308, 21443, 640, 5222, 267, 1305, 3724, 9883, 267, 2825, 6927, 1644, 547, 18508, 543, 21426, 267, 10664, 24999, 607, 1134, 607, 6846, 543, 7452, 2157, 1282, 4070, 563, 2005, 729, 24886, 547, 7747, 602, 267, 538, 476, 1708, 272, 267, 519, 16972, 6554, 18931, 891, 10848, 269, 634, 16972, 16501, 1631, 814, 5539, 585, 2842, 3484, 6846, 6042, 543, 10220, 538, 15117, 630, 320, 1909, 5892, 8655, 547, 2199, 6076, 15078, 1070, 1519, 519, 7664, 543, 3498, 540, 519, 715, 313, 30433, 9208, 607, 621, 10039, 538, 15117, 269, 1452, 2242, 4553, 2147, 15024, 538, 29517, 267, 1141, 2842, 11396, 1590, 3489, 543, 2226, 513, 12689, 689, 519, 16501, 547, 7500, 563, 5591, 1047, 7799, 1080, 543, 7600, 4997, 454, 5591, 1047, 4441, 11341, 547, 2842, 11396, 4867, 4268, 676, 1533, 269, 1280, 1383, 267, 519, 2842, 3484, 6846, 3970, 3044, 538, 15117, 543, 31005, 807, 568, 476, 2412, 28108, 10490, 12684, 6027, 3544, 519, 15335, 269, 3162, 5245, 9775, 1063, 476, 3374, 28108, 10490, 12684, 543, 476, 2412, 28108, 10490, 12684, 1759, 593, 519, 4087, 540, 519, 2842, 3484, 267, 5375, 5245, 568, 476, 3374, 28108, 10490, 12684, 267, 1715, 3162, 12986, 568, 476, 3374, 28108, 10490, 12684, 543, 24368, 779, 3044, 568, 476, 4391, 28108, 10490, 12684, 1282, 519, 1554, 543, 476, 3374, 28108, 10490, 12684, 1282, 519, 3781, 269, 634, 1935, 547, 7893, 1312, 519, 4282, 6846, 2157, 693, 513, 6069, 2842, 3484, 3135, 607, 1134, 607, 519, 6846, 19501, 689, 606, 5665, 2842, 3484, 666, 849, 4268, 676, 1788, 543, 16278, 267, 799, 666, 1291, 547, 7521, 936, 519, 2357, 13369, 540, 519, 6846, 4879, 2164, 563, 763, 2622, 2657, 9257, 779, 630, 21766, 264, 6846, 4808, 5950, 538, 476, 1001, 279, 5227, 513, 476, 3393, 28108, 630, 299, 6577, 264, 3970, 585, 2842, 3484, 6846, 267, 607, 6027, 3544, 519, 15335, 267, 547, 2061, 2942, 2360, 593, 3207, 543, 1072, 269, 1717, 267, 519, 1867, 7074, 519, 3668, 540, 1382, 610, 2963, 2139, 547, 598, 13254, 1489, 713, 1007, 23988, 3970, 269, 19881, 14959, 4808, 941, 1759, 593, 606, 3330, 6482, 3970, 540, 476, 1789, 28108, 10490, 1070, 4352, 621, 666, 581, 2352, 543, 703, 28424, 547, 4163, 856, 2842, 3484, 6846, 4152, 3330, 513, 15335, 267, 3226, 936, 513, 1279, 1974, 540, 942, 563, 14483, 2842, 3484, 6846, 7355, 4061, 7048, 593, 519, 2360, 540, 22887, 6672, 540, 519, 6846, 676, 519, 15335, 2497, 543, 1131, 8263, 602, 513, 6846, 1377, 540, 2161, 476, 2412, 28108, 10490, 264, 6027, 3544, 519, 15335, 1058, 581, 1447, 982, 476, 1789, 28108, 10490, 264, 6027, 3330, 267, 1759, 593, 606, 4397, 22887, 6672, 538, 519, 1931, 540, 476, 1015, 268, 1428, 28108, 10490, 1040, 901, 22887, 6672, 949, 581, 3152, 952, 519, 23029, 779, 9486, 616, 6806, 543, 519, 15335, 568, 540, 4396, 4070, 543, 1134, 1202, 4327, 267, 2705, 267, 519, 2500, 22887, 6672, 949, 581, 1447, 952, 9486, 616, 1930, 543, 5924, 4070, 543, 13471, 540, 519, 15335, 568, 1447, 7347, 563, 296, 1087, 1132, 666, 849, 8451, 1141, 513, 2842, 3484, 568, 7318, 585, 6846, 543, 519, 1267, 20489, 519, 3970, 676, 513, 8589, 2179, 267, 585, 1383, 476, 2412, 269, 273, 28108, 10490, 264, 1996, 513, 3970, 540, 476, 2412, 28108, 10490, 1040, 634, 30934, 779, 1620, 568, 602, 513, 3017, 540, 909, 547, 476, 273, 269, 271, 28108, 10490, 264, 1131, 711, 581, 20559, 1043, 676, 519, 1480, 1274, 543, 568, 519, 1267, 540, 519, 1950, 6310, 9273, 602, 2708, 2789, 6846, 1239, 2798, 269, 1703, 949, 581, 930, 20519, 538, 3850, 585, 513, 1507, 267, 10257, 10892, 1377, 547, 2057, 2842, 11396, 1373, 538, 2930, 21556, 540, 10220, 1247, 711, 1570, 569, 23630, 519, 7150, 3970, 7355, 269, 898, 1058, 581, 7074, 602, 938, 8433, 1631, 11392, 1360, 1906, 20286, 827, 2912, 1043, 2842, 3484, 6846, 543, 5176, 782, 6846, 20286, 9305, 547, 6069, 2842, 11396, 543, 519, 9228, 6161, 602, 519, 2842, 3484, 786, 581, 26776, 563, 763, 7521, 607, 547, 2436, 610, 711, 513, 1970, 4908, 3044, 1058, 849, 581, 5189, 267, 971, 607, 513, 28108, 18154, 264, 543, 5924, 28108, 31855, 264, 2597, 532, 814, 26632, 730, 269, 634, 17888, 4661, 568, 602, 519, 2048, 288, 22051, 4336, 8730, 799, 814, 1044, 2966, 547, 21613, 519, 1480, 1274, 779, 8417, 547, 6846, 267, 8383, 919, 513, 6190, 21285, 585, 1970, 4908, 6846, 1107, 15663, 602, 1970, 4908, 6846, 666, 581, 2352, 547, 3713, 693, 2157, 602, 1131, 2965, 21556, 12939, 9072, 563, 763, 8433, 779, 2013, 1239, 814, 2938, 513, 1713, 5786, 936, 942, 689, 29153, 1218, 19696, 4145, 827, 1970, 4908, 6846, 610, 21513, 32338, 908, 689, 5665, 2842, 11396, 269, 4329, 267, 2487, 1382, 689, 4469, 785, 619, 2160, 6920, 602, 519, 2707, 540, 21513, 1373, 2283, 539, 676, 7606, 2713, 2282, 2842, 11396, 568, 12691, 547, 581, 689, 519, 2842, 3484, 779, 18434, 630, 5408, 5274, 32185, 540, 6489, 12426, 966, 12299, 267, 667, 1075, 268, 4942, 1075, 715, 7666, 344, 523, 267, 26701, 344, 17713, 523, 543, 5696, 1678, 334, 2098, 1690, 600, 572, 330, 1916, 5194, 2487, 4469, 785, 619, 2160, 1353, 1336, 602, 7264, 267, 945, 2661, 1369, 476, 1015, 14790, 540, 513, 2842, 3484, 267, 4080, 3207, 2152, 941, 689, 824, 2959, 267, 971, 607, 20026, 267, 2566, 543, 2879, 1681, 838, 11817, 267, 2864, 982, 519, 7404, 2842, 11396, 1107, 1152, 476, 271, 269, 274, 260, 540, 519, 476, 4335, 266, 7264, 3238, 538, 519, 1353, 11911, 3207, 19717, 547, 2842, 3484, 6846, 630, 5408, 6489, 12426, 30433, 543, 12619, 2598, 8306, 1107, 4469, 785, 619, 2160, 5240, 5327, 330, 267, 476, 1724, 5239, 476, 1708, 272, 1916, 17780, 593, 713, 1382, 543, 938, 1378, 4681, 689, 7829, 6846, 20286, 267, 621, 568, 12691, 602, 2842, 3484, 6846, 568, 4929, 3207, 22975, 269, 1763, 6342, 7255, 827, 2842, 3484, 6846, 1373, 4862, 3330, 519, 23029, 1058, 723, 741, 15335, 13761, 676, 513, 11727, 1035, 24065, 6509, 547, 3313, 519, 3597, 2014, 540, 519, 6846, 269, 1763, 6342, 2348, 7411, 12008, 1058, 3343, 5796, 689, 741, 4387, 563, 2467, 949, 581, 824, 2959, 540, 6846, 607, 513, 1267, 540, 519, 1788, 779, 5106, 267, 538, 1880, 6846, 602, 1131, 32338, 622, 689, 519, 5122, 5989, 267, 1519, 1379, 2655, 725, 267, 2981, 619, 543, 1394, 5346, 18402, 269, 634, 1761, 1764, 540, 971, 6846, 2959, 1058, 581, 12290, 1282, 519, 1374, 5123, 543, 7318, 585, 10220, 1282, 1022, 2022, 268, 18586, 6846, 4152, 563, 7661, 267, 519, 18763, 11660, 9730, 593, 6489, 5695, 321, 1149, 814, 6508, 513, 6700, 2842, 17081, 6846, 3970, 540, 476, 3374, 28108, 10490, 264, 630, 6369, 3445, 267, 1015, 15902, 264, 547, 2327, 8766, 2009, 20714, 766, 269, 901, 6700, 3970, 5111, 1226, 919, 547, 513, 15829, 18091, 267, 1015, 15902, 540, 476, 4391, 28108, 10490, 264, 610, 513, 700, 6577, 540, 476, 6246, 28108, 10490, 1916, 288, 1305, 3724, 3845, 630, 10193, 1634, 607, 513, 2048, 557, 1729, 685, 3845, 264, 568, 513, 9949, 3845, 602, 267, 952, 513, 15335, 630, 323, 16946, 264, 568, 1369, 602, 9138, 3845, 689, 513, 6069, 5989, 267, 971, 607, 513, 2842, 17081, 267, 3859, 5044, 610, 1256, 5732, 513, 1804, 8397, 6771, 1899, 267, 602, 519, 17055, 666, 2901, 1654, 1729, 519, 6069, 10697, 4087, 610, 4283, 883, 513, 5010, 6876, 609, 519, 17354, 547, 1450, 519, 10697, 547, 581, 521, 1243, 1369, 519, 1305, 3724, 3845, 3970, 563, 13729, 3724, 9883, 689, 606, 10697, 547, 513, 15335, 849, 4268, 2066, 2829, 269, 1280, 1383, 267, 15117, 8385, 1185, 1100, 1305, 3724, 9883, 585, 2842, 18434, 267, 1287, 5189, 513, 476, 273, 5998, 1305, 3724, 3845, 538, 476, 1001, 272, 543, 13604, 29567, 621, 547, 476, 272, 5998, 538, 476, 1001, 276, 269, 24368, 814, 513, 1305, 3724, 3845, 540, 476, 272, 269, 276, 5998, 267, 1247, 519, 1715, 3162, 12986, 5943, 568, 4867, 1759, 593, 513, 20519, 4879, 540, 1142, 1788, 1996, 519, 7355, 543, 2773, 4441, 538, 519, 5943, 269, 5375, 5245, 814, 5227, 513, 476, 272, 269, 276, 5998, 1305, 3724, 538, 741, 19024, 15048, 281, 24997, 6052, 11120, 1988, 630, 310, 3480, 8241, 12020, 8189, 267, 4728, 476, 1708, 271, 1916, 13729, 3724, 9883, 585, 1804, 8397, 3859, 14249, 616, 1869, 7361, 1373, 2919, 543, 15568, 676, 1533, 6608, 269, 1284, 1131, 2503, 9949, 1305, 3724, 9883, 547, 581, 538, 1747, 585, 9883, 1063, 30240, 4036, 1878, 267, 3959, 6302, 543, 9897, 543, 519, 14282, 3859, 5044, 563, 14483, 1305, 3724, 9883, 585, 2842, 18434, 723, 1044, 2392, 7631, 2299, 1305, 1759, 593, 9371, 17081, 7516, 543, 4397, 4093, 689, 6846, 4441, 269, 1306, 513, 11315, 4341, 540, 14853, 267, 513, 476, 2412, 28108, 10490, 264, 6846, 26048, 1058, 581, 1175, 1447, 982, 827, 835, 9481, 516, 689, 519, 17081, 4433, 1070, 6466, 513, 476, 3374, 28108, 10490, 264, 6846, 26048, 568, 3335, 1447, 982, 476, 272, 269, 276, 5998, 689, 18434, 267, 4352, 891, 9883, 666, 4268, 609, 27177, 543, 14099, 269, 5695, 321, 1149, 8704, 1282, 519, 2063, 8717, 723, 6140, 1044, 693, 9133, 15627, 538, 519, 1931, 540, 476, 5611, 15432, 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 ]
[ 5780, 272, 563, 7093, 828, 670, 267, 19161, 1598, 7238, 332, 808, 1547, 6356, 540, 10269, 7296, 593, 27731, 7067, 1739, 10551, 3797, 269, 808, 7885, 11270, 2632, 565, 476, 1960, 271, 282, 476, 1704, 281, 476, 27844, 1700, 29044, 563, 298, 12245, 22844, 654, 667, 267, 9652, 717, 918, 267, 4793, 559, 918, 667, 267, 1696, 620, 269, 20946, 540, 16906, 4616, 543, 3210, 547, 27731, 3797, 269, 808, 11270, 2632, 565, 476, 1960, 277, 282, 476, 6858, 281, 476, 277, 4037, 1700, 6924, 273, 563, 307, 668, 10428, 328, 700, 267, 2480, 13741, 807, 589, 1547, 23046, 3210, 540, 31470, 2526, 21748, 12889, 1739, 11461, 5160, 20344, 538, 21596, 543, 1875, 23337, 758, 619, 269, 808, 7885, 11270, 2632, 565, 476, 1960, 278, 282, 476, 2190, 281, 476, 276, 3066, 1700, 276, 3451, 563, 21547, 293, 22611, 2033, 717, 267, 4173, 345, 6199, 631, 267, 16423, 700, 267, 10434, 773, 715, 1547, 4676, 847, 800, 1974, 2632, 4345, 2404, 609, 9402, 26340, 517, 13086, 943, 698, 26014, 2670, 543, 16906, 7296, 269, 808, 11270, 2632, 565, 476, 1960, 273, 282, 476, 8287, 281, 476, 3445, 279, 1700, 280, 1724, 563, 294, 1484, 328, 590, 717, 267, 2637, 1723, 681, 808, 267, 7557, 974, 328, 661, 661, 1547, 10495, 540, 1981, 585, 27731, 2068, 269, 4083, 269, 11485, 10832, 585, 31276, 6897, 5642, 2530, 269, 808, 11270, 2632, 565, 476, 1960, 276, 282, 476, 5780, 281, 476, 2537, 1700, 3066, 563, 289, 22223, 589, 267, 661, 9383, 1495, 717, 267, 2605, 603, 1470, 325, 700, 267, 30225, 23264, 339, 590, 1547, 634, 1198, 540, 4957, 7296, 6208, 593, 8589, 31276, 6897, 5642, 2530, 269, 9527, 19239, 808, 476, 1960, 274, 282, 476, 1704, 281, 476, 21076, 1700, 21327, 563, 289, 664, 595, 589, 267, 631, 1195, 623, 918, 1547, 634, 7681, 1063, 519, 5821, 540, 5959, 18032, 543, 16906, 7296, 269, 2271, 808, 17327, 7665, 650, 1993, 659, 1955, 17852, 476, 1960, 274, 282, 476, 279, 281, 476, 2568, 280, 1700, 277, 1428, 563, 5719, 25362, 2106, 670, 267, 2051, 5055, 1068, 645, 1547, 634, 2360, 540, 7296, 593, 2038, 15498, 5821, 269, 7885, 17327, 1955, 680, 1763, 476, 1960, 275, 282, 476, 276, 281, 476, 18605, 1700, 25784, 563, 295, 320, 553, 681, 267, 670, 2727, 321, 1442, 654, 267, 25357, 987, 717, 267, 1696, 620, 269, 634, 2078, 540, 7296, 593, 31971, 21553, 8690, 5160, 281, 513, 24794, 8826, 1353, 269, 808, 1160, 560, 327, 19239, 476, 1960, 277, 282, 476, 10602, 281, 476, 30020, 1700, 276, 4817, 563, 299, 22055, 626, 700, 654, 267, 14161, 26856, 717, 661, 267, 808, 655, 339, 570, 1547, 589, 17053, 476, 1428, 4458, 1246, 5346, 1353, 540, 8260, 24212, 6378, 14382, 12330, 6462, 676, 15259, 572, 2002, 1122, 3603, 18032, 269, 7885, 17327, 1955, 8690, 1763, 476, 1960, 277, 282, 476, 278, 281, 476, 31696, 1700, 28656, 563, 289, 664, 595, 589, 1547, 25003, 543, 15498, 5821, 2443, 11588, 540, 513, 7296, 29696, 7014, 269, 2271, 808, 17327, 7665, 650, 1993, 659, 1955, 17852, 476, 1960, 277, 282, 476, 1556, 281, 476, 4037, 277, 1700, 4037, 280, 563, 310, 344, 837, 661, 700, 267, 631, 2313, 1231, 7288, 631, 670, 267, 1975, 643, 1695, 808, 595, 1547, 30926, 543, 4568, 4616, 538, 6935, 547, 519, 1646, 540, 2789, 3119, 11871, 269, 9435, 476, 3192, 278, 282, 476, 2412, 281, 476, 6942, 273, 1700, 6942, 279, 563, 301, 5746, 3933, 1748, 476, 280, 281, 595, 580, 1513, 281, 2657, 12186, 543, 12367, 269, 22078, 295, 22910, 3143, 269, 476, 7176, 268, 25396, 273, 267, 5975, 1127, 6767, 2475, 5398, 2657, 6796, 267, 5988, 476, 1960, 279, 563, 7922, 582, 654, 808, 267, 32511, 2795, 4802, 808, 918, 267, 654, 4883, 667, 631, 1696, 620, 269, 25003, 543, 6704, 538, 6935, 547, 5711, 543, 943, 31099, 2860, 269, 9435, 1763, 476, 2735, 279, 282, 476, 4366, 281, 476, 29044, 273, 1700, 29044, 278, 563, 18250, 290, 1195, 717, 667, 267, 19785, 837, 661, 700, 1547, 18264, 8344, 543, 15324, 6286, 538, 4568, 15910, 14003, 269, 9435, 1763, 476, 3192, 280, 282, 476, 4375, 281, 476, 29257, 275, 1700, 26326, 271, 563, 298, 6737, 594, 267, 32633, 3120, 589, 631, 962, 1547, 15850, 538, 519, 513, 564, 5735, 540, 5580, 7098, 617, 580, 24304, 8778, 2860, 269, 17327, 2201, 3712, 267, 20195, 808, 9435, 476, 1960, 275, 282, 476, 1789, 289, 281, 476, 4037, 1700, 10037, 563, 306, 638, 1512, 595, 589, 267, 30532, 623, 267, 8065, 645, 918, 1547, 24046, 21774, 540, 6491, 4592, 517, 1941, 545, 13534, 2066, 5711, 11940, 6242, 538, 519, 4527, 540, 19844, 269, 808, 17327, 11202, 565, 476, 2735, 277, 282, 476, 1428, 281, 476, 28510, 1700, 29344, 563, 21574, 545, 808, 631, 267, 1325, 2006, 808, 661, 267, 674, 15505, 2006, 681, 590, 1696, 620, 269, 21478, 540, 16906, 267, 10612, 267, 543, 524, 580, 541, 7296, 267, 5110, 762, 9864, 7202, 999, 267, 543, 2085, 593, 5711, 32151, 641, 328, 25474, 269, 17327, 13880, 17327, 2405, 17327, 11202, 565, 476, 2735, 273, 282, 476, 7918, 281, 476, 26237, 1700, 27149, 563, 305, 334, 539, 6261, 4394, 523, 645, 1547, 6356, 593, 5711, 32151, 6955, 25474, 540, 4227, 610, 2810, 10269, 7296, 269, 3600, 571, 32536, 8576, 518, 565, 630, 1805, 1442, 27048, 264, 476, 2735, 272, 282, 476, 7830, 281, 476, 13932, 1700, 15757, 563, 10817, 24473, 623, 595, 267, 631, 4669, 328, 623, 681, 267, 13225, 976, 548, 681, 645, 1696, 620, 269, 6356, 540, 29696, 540, 10269, 946, 593, 519, 11841, 540, 5711, 11940, 657, 531, 15087, 538, 513, 476, 1015, 3917, 337, 1246, 5346, 1353, 540, 476, 1321, 267, 18891, 3755, 269, 17327, 2598, 476, 1960, 276, 282, 476, 272, 281, 476, 7918, 1700, 6812, 563, 288, 343, 2946, 961, 570, 1547, 12769, 584, 5270, 540, 32151, 6955, 25474, 543, 930, 824, 5711, 3043, 15087, 1851, 476, 736, 267, 18357, 2937, 16528, 1004, 269, 7991, 19239, 17327, 25731, 2723, 476, 2735, 278, 282, 476, 1428, 281, 476, 5379, 1700, 7906, 563, 9288, 327, 3279, 674, 590, 267, 27454, 1177, 718, 320, 623, 715, 267, 667, 10762, 776, 667, 918, 1696, 620, 269, 681, 27654, 7296, 538, 1656, 571, 21423, 267, 3127, 281, 13260, 540, 4791, 543, 1277, 11043, 5920, 540, 5493, 7614, 2242, 269, 2271, 808, 17327, 13880, 476, 3192, 278, 282, 476, 277, 281, 476, 4037, 1700, 10695, 563, 288, 343, 2946, 961, 570, 267, 670, 539, 514, 595, 589, 1547, 25731, 328, 11043, 1353, 540, 7050, 5711, 14264, 514, 6477, 7695, 609, 2027, 4704, 547, 519, 3310, 540, 10269, 6208, 269, 20280, 808, 19239, 1763, 476, 2735, 273, 282, 476, 3445, 281, 476, 275, 4097, 1700, 4510, 273, 563, 295, 539, 514, 595, 589, 1547, 3911, 20269, 781, 14264, 2670, 269, 12769, 584, 5270, 543, 31338, 538, 519, 7923, 31470, 10216, 269, 5246, 32536, 565, 476, 3192, 278, 282, 476, 13647, 281, 476, 14631, 274, 1700, 14631, 279, 563, 295, 539, 514, 595, 589, 267, 623, 785, 321, 3073, 808, 808, 267, 16547, 2946, 961, 570, 1547, 2598, 1952, 30970, 540, 15137, 518, 781, 14264, 2670, 1310, 4227, 7296, 269, 808, 17327, 11202, 565, 2405, 476, 1960, 274, 282, 476, 2420, 281, 476, 25248, 1700, 15996, 563, 29804, 332, 11584, 335, 623, 267, 645, 612, 1069, 2335, 631, 1547, 11916, 267, 9354, 267, 543, 23633, 3344, 540, 5312, 12947, 5914, 6596, 15633, 269, 17327, 13880, 17327, 11202, 565, 17327, 2405, 476, 2735, 274, 282, 476, 6321, 281, 476, 4343, 279, 1700, 4375, 276, 563, 6701, 526, 21807, 570, 631, 267, 21701, 667, 631, 267, 8003, 681, 808, 267, 24305, 808, 681, 590, 267, 1715, 1260, 2041, 681, 717, 1547, 30926, 7296, 543, 7202, 675, 9849, 538, 5711, 6596, 531, 32151, 6955, 25474, 269, 5696, 19239, 808, 476, 2735, 274, 282, 476, 14028, 281, 476, 22430, 1700, 29340, 563, 6701, 526, 21807, 570, 631, 267, 21701, 667, 631, 1547, 30926, 7296, 543, 7202, 675, 9849, 607, 2199, 513, 564, 8344, 2188, 538, 11667, 32077, 1355, 17953, 4345, 269, 2271, 808, 17327, 13880, 476, 2735, 275, 282, 476, 1724, 281, 476, 30329, 1700, 25870, 563, 4517, 816, 517, 717, 1547, 10965, 4428, 14001, 2242, 2404, 609, 519, 946, 540, 10690, 543, 6712, 1532, 698, 17569, 539, 16528, 5848, 2879, 4428, 269, 589, 4791, 267, 1277, 1670, 543, 1246, 5346, 1353, 269, 19080, 269, 9527, 19239, 808, 476, 1960, 272, 282, 476, 1428, 281, 630, 11045, 331, 476, 4037, 264, 590, 272, 1700, 306, 280, 563, 288, 343, 2946, 961, 570, 1547, 17327, 11940, 657, 531, 2242, 1644, 547, 15137, 6804, 10269, 6165, 281, 1382, 4681, 538, 22778, 807, 269, 17327, 2201, 3712, 267, 20195, 808, 9435, 476, 1960, 274, 282, 476, 3066, 289, 281, 476, 26482, 1700, 23714, 563, 288, 343, 2946, 961, 570, 267, 631, 23152, 333, 26684, 670, 267, 9530, 1598, 7238, 332, 645, 1547, 634, 6935, 540, 519, 4791, 4605, 547, 519, 1277, 31752, 540, 2879, 4428, 1019, 3899, 781, 27295, 538, 513, 16528, 2551, 269, 808, 17327, 11202, 565, 476, 3192, 277, 282, 476, 276, 281, 476, 26631, 1700, 26951, 563, 294, 516, 518, 681, 744, 267, 623, 537, 28952, 570, 595, 1547, 17327, 5160, 19260, 2404, 609, 519, 946, 540, 15137, 6804, 10269, 676, 14038, 269, 17327, 13880, 17327, 11202, 565, 17327, 2405, 476, 2735, 274, 282, 476, 6321, 281, 476, 22550, 1700, 29257, 563, 299, 541, 26856, 3331, 483, 267, 16547, 2946, 961, 570, 267, 1656, 619, 5459, 717, 1547, 1234, 951, 2225, 540, 2879, 4428, 1019, 13827, 262, 27295, 538, 16528, 5848, 2879, 4428, 3755, 281, 513, 4791, 543, 1277, 11043, 1246, 5346, 1353, 269, 808, 17327, 11202, 565, 2405, 476, 1960, 272, 282, 476, 736, 281, 476, 28670, 1700, 25784, 563, 9288, 1188, 6352, 7921, 681, 661, 267, 13983, 839, 3966, 667, 267, 21890, 514, 2006, 667, 966, 267, 1696, 620, 269, 30926, 2360, 538, 519, 5023, 269, 22078, 295, 22910, 476, 10844, 268, 18357, 271, 267, 476, 1960, 273, 563, 21766, 13832, 585, 2552, 13764, 543, 16424, 519, 30926, 20615, 2438, 269, 25611, 281, 30926, 610, 2657, 19510, 267, 14959, 267, 476, 1960, 277, 563, 293, 14888, 269, 19024, 15048, 593, 30926, 269, 674, 14888, 2622, 269, 5507, 281, 674, 14888, 2622, 15482, 4964, 267, 5437, 268, 20103, 476, 1960, 277, 563, 29834, 590, 661, 267, 2782, 333, 752, 10358, 19441, 5984, 918, 589, 589, 590, 267, 3171, 9807, 629, 754, 700, 267, 5617, 7815, 631, 267, 23101, 667, 267, 9652, 715, 654, 1547, 589, 7296, 29696, 10872, 5342, 998, 5959, 2853, 538, 519, 5177, 269, 5696, 19239, 808, 476, 1960, 279, 282, 476, 6977, 281, 476, 26482, 1700, 24062, 563, 310, 3430, 681, 267, 20484, 631, 1547, 29955, 21596, 547, 5254, 8008, 281, 589, 3391, 585, 519, 5959, 2319, 269, 5507, 281, 2657, 4065, 16958, 267, 476, 1960, 280, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 297, 28427, 267, 715, 1421, 645, 664, 267, 595, 269, 30926, 543, 5711, 2068, 269, 5696, 19239, 808, 476, 6245, 267, 476, 1220, 1700, 18684, 630, 1220, 271, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 279, 4882, 329, 12500, 323, 329, 269, 21878, 5881, 273, 272, 454, 763, 1198, 540, 10269, 543, 4568, 543, 741, 5786, 270, 947, 566, 593, 9019, 538, 5711, 2860, 2550, 281, 2110, 2792, 454, 23175, 1299, 3026, 1188, 2201, 19223, 630, 1001, 273, 994, 289, 10157, 3194, 11872, 630, 1001, 273, 994, 10112, 20156, 540, 7296, 7180, 538, 519, 5959, 4259, 269, 589, 1353, 9236, 1582, 3146, 19959, 18102, 1239, 543, 17938, 4705, 3327, 24785, 2157, 454, 32747, 17327, 15766, 725, 630, 1001, 273, 994, 30535, 685, 4656, 540, 519, 1761, 4324, 540, 7296, 29696, 269, 589, 1353, 10442, 1582, 3146, 19959, 543, 4791, 1239, 689, 2550, 5219, 547, 606, 5711, 4915, 1770, 454, 32747, 17327, 15766, 725, 630, 1001, 273, 994, 23873, 15482, 4750, 630, 1001, 271, 264, 0, 300, 6973, 1670, 31834, 540, 15310, 8982, 15434, 1188, 19725, 543, 12618, 454, 17273, 1543, 16606, 454, 2252, 707, 11422, 1281, 711, 11904, 2985, 7157, 267, 5225, 1224, 519, 2985, 1543, 2630, 454, 6637, 476, 273, 5651, 874, 1670, 31834, 540, 15310, 8982, 15434, 1188, 19725, 543, 12618, 476, 273, 269, 272, 4985, 634, 2832, 540, 713, 3184, 568, 693, 3246, 930, 10026, 1344, 827, 519, 1585, 9854, 6127, 602, 666, 1491, 1747, 538, 519, 2326, 602, 568, 606, 1898, 4282, 585, 519, 1353, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 1158, 779, 7887, 19251, 777, 549, 915, 338, 616, 782, 31417, 538, 4336, 267, 6988, 543, 6578, 563, 3719, 1247, 789, 2461, 782, 11108, 267, 930, 1107, 3833, 12777, 1107, 616, 856, 540, 713, 1158, 269, 1656, 1247, 1034, 723, 1044, 14850, 564, 676, 17799, 602, 723, 1044, 31903, 676, 519, 5046, 268, 866, 6855, 267, 891, 3670, 786, 8300, 596, 563, 17220, 6611, 13749, 454, 763, 4139, 6611, 13749, 630, 3041, 306, 264, 568, 519, 4102, 5841, 1843, 538, 2230, 269, 898, 729, 2813, 676, 513, 931, 24832, 540, 476, 1428, 6082, 543, 2947, 2230, 8041, 454, 21132, 4070, 267, 513, 2101, 1788, 538, 2230, 6189, 267, 3459, 538, 476, 1960, 279, 609, 513, 16516, 1942, 540, 811, 982, 2475, 259, 2568, 5479, 563, 763, 6611, 13749, 729, 3144, 883, 2230, 4062, 676, 4062, 543, 7930, 9112, 538, 10739, 476, 6110, 5998, 1657, 519, 3618, 779, 2627, 269, 898, 814, 3144, 476, 2412, 13485, 547, 1628, 543, 4867, 5161, 540, 476, 1428, 2046, 584, 2213, 13838, 563, 763, 32199, 22179, 3592, 476, 6110, 19726, 543, 6227, 606, 1858, 607, 1804, 607, 513, 11176, 12334, 269, 898, 10580, 519, 3618, 1169, 476, 10844, 3764, 693, 513, 3432, 540, 476, 2764, 267, 1822, 5998, 10774, 563, 763, 12284, 540, 5722, 630, 520, 519, 942, 540, 1603, 264, 4163, 856, 1279, 3856, 1382, 267, 16113, 883, 1480, 1072, 563, 763, 4139, 14562, 3000, 13086, 21885, 1234, 18503, 630, 25604, 264, 568, 606, 1648, 1788, 1063, 476, 3374, 6082, 602, 779, 4867, 896, 4070, 593, 513, 476, 5197, 13463, 551, 732, 3135, 538, 7013, 5333, 563, 763, 5698, 568, 2679, 519, 1158, 779, 4102, 15480, 600, 752, 267, 513, 6419, 12760, 3926, 269, 898, 814, 1044, 2966, 547, 6961, 519, 23250, 540, 12760, 607, 513, 1804, 8397, 543, 3327, 6954, 2707, 540, 1648, 1759, 593, 519, 1482, 6240, 602, 7060, 519, 3141, 563, 1320, 8812, 5991, 710, 5656, 543, 2930, 2127, 2777, 519, 8668, 2207, 15480, 600, 752, 543, 922, 2030, 1949, 269, 634, 2295, 540, 519, 9744, 1107, 519, 15480, 600, 752, 8490, 1107, 568, 513, 5722, 3613, 648, 344, 2497, 269, 898, 779, 1500, 540, 18674, 6405, 602, 18795, 476, 1724, 15432, 2630, 519, 3760, 1377, 543, 476, 2568, 15432, 1657, 563, 17746, 2315, 540, 519, 5318, 2679, 267, 799, 3459, 538, 476, 1001, 274, 267, 2838, 519, 1646, 540, 476, 1015, 1114, 2010, 540, 6405, 547, 13104, 4600, 689, 5982, 269, 634, 2475, 259, 736, 5479, 8998, 568, 1813, 547, 2097, 2228, 538, 476, 1708, 276, 563, 2704, 25120, 339, 537, 332, 4139, 23076, 267, 29903, 454, 763, 4336, 540, 29903, 779, 1325, 25120, 339, 537, 332, 4139, 23076, 568, 9058, 563, 763, 9744, 267, 799, 11498, 936, 811, 982, 476, 4097, 4009, 21240, 267, 568, 2966, 547, 6023, 476, 1220, 2647, 23073, 8484, 693, 513, 942, 269, 898, 779, 4397, 547, 581, 2111, 547, 6023, 476, 13136, 2929, 15915, 513, 1032, 563, 763, 19633, 779, 2034, 7269, 5123, 4805, 814, 606, 6059, 1942, 540, 811, 982, 2475, 259, 3953, 5479, 563, 2005, 729, 8385, 16516, 585, 12032, 538, 476, 1001, 279, 267, 855, 519, 5767, 7269, 5123, 814, 1100, 3803, 12032, 4266, 563, 2419, 340, 334, 1744, 1074, 753, 523, 267, 3567, 454, 5194, 540, 519, 7887, 19251, 777, 549, 915, 338, 538, 519, 1158, 568, 3567, 779, 21777, 1164, 18286, 7841, 1899, 563, 763, 932, 340, 334, 1744, 1074, 753, 523, 568, 1373, 9112, 538, 5933, 602, 3459, 538, 5412, 476, 1001, 276, 269, 898, 786, 1491, 2951, 6840, 689, 19519, 547, 18491, 30377, 630, 30525, 21240, 264, 538, 1175, 476, 2412, 3764, 693, 11250, 909, 547, 476, 31746, 5998, 10774, 563, 763, 9920, 1652, 6419, 26550, 2787, 630, 332, 698, 4582, 264, 5721, 568, 519, 16595, 5721, 538, 519, 1158, 269, 5082, 11424, 2029, 3076, 1206, 519, 5721, 779, 6517, 827, 476, 1015, 1298, 22015, 637, 1657, 519, 13475, 607, 621, 12599, 563, 10666, 476, 3445, 260, 540, 519, 1899, 568, 11895, 267, 8506, 3573, 15993, 4070, 269, 18001, 476, 272, 3322, 519, 4070, 540, 513, 476, 30525, 5998, 21367, 633, 4012, 4582, 1899, 267, 16030, 476, 27038, 5998, 540, 25310, 267, 476, 2190, 5998, 540, 19274, 611, 10631, 338, 543, 476, 1556, 5998, 540, 13123, 269, 898, 16621, 3670, 10473, 543, 513, 5721, 1244, 582, 563, 763, 4070, 814, 1044, 14850, 564, 676, 17799, 267, 16113, 538, 835, 1858, 1141, 26995, 568, 1950, 269, 901, 1101, 5123, 267, 799, 568, 28428, 606, 6059, 2475, 259, 7367, 5479, 267, 729, 4397, 547, 581, 10512, 538, 476, 1708, 278, 267, 855, 602, 4266, 568, 1631, 3168, 12691, 563, 288, 2663, 5123, 786, 8831, 519, 1899, 547, 14642, 10440, 563, 15124, 12275, 19085, 267, 32021, 21840, 267, 12868, 454, 297, 752, 21840, 267, 519, 3854, 540, 12868, 267, 568, 519, 16595, 1606, 9722, 2749, 538, 519, 1158, 269, 634, 1558, 24227, 540, 476, 3607, 2929, 1004, 267, 799, 568, 12155, 547, 14700, 267, 568, 29855, 693, 513, 2557, 540, 2947, 547, 476, 1015, 1298, 22015, 637, 513, 1032, 563, 21413, 513, 19251, 777, 549, 915, 547, 2149, 621, 267, 519, 1970, 268, 2391, 2749, 1223, 581, 24760, 1107, 543, 922, 3003, 2551, 19774, 1107, 676, 476, 13078, 271, 563, 763, 2817, 13317, 21091, 26066, 4886, 630, 10998, 2975, 291, 264, 9457, 17839, 814, 606, 6059, 1942, 540, 2475, 259, 2412, 5479, 269, 898, 2882, 519, 4070, 540, 513, 7372, 476, 3953, 10275, 332, 4262, 3774, 267, 1634, 607, 519, 4279, 12275, 19085, 267, 538, 519, 3337, 540, 519, 24414, 26704, 6177, 563, 17746, 2315, 540, 519, 4262, 3774, 814, 1044, 3323, 1107, 543, 16607, 1082, 2053, 1107, 855, 12032, 568, 5688, 12264, 16516, 585, 476, 1708, 276, 563, 25618, 545, 9457, 4643, 267, 590, 14244, 6754, 334, 267, 8478, 454, 24154, 7588, 779, 7887, 2749, 568, 18460, 513, 19251, 777, 549, 915, 3068, 331, 3424, 267, 519, 590, 14244, 6754, 334, 21864, 9457, 4643, 269, 898, 8992, 4264, 543, 1004, 15129, 1646, 267, 1519, 476, 278, 1704, 267, 1822, 1007, 5321, 267, 9962, 17362, 906, 267, 6131, 4783, 543, 1668, 28961, 267, 7132, 519, 5137, 540, 3875, 3039, 5624, 563, 7343, 6918, 2954, 476, 272, 269, 273, 2929, 590, 14244, 6754, 334, 7264, 2661, 538, 3655, 767, 553, 1107, 6405, 7146, 268, 1241, 695, 656, 12682, 12495, 1107, 610, 14460, 5656, 25708, 267, 1572, 9729, 1182, 563, 6097, 547, 519, 4487, 1544, 267, 476, 13301, 267, 1822, 540, 519, 1007, 10821, 4559, 786, 581, 11280, 607, 10097, 269, 7388, 5406, 568, 4397, 676, 476, 10711, 271, 563, 1432, 649, 2709, 693, 918, 295, 7233, 454, 4263, 918, 295, 7233, 267, 649, 1810, 1406, 7119, 538, 519, 1158, 779, 7887, 19251, 777, 549, 915, 338, 1107, 855, 649, 798, 948, 9118, 4130, 10909, 543, 3785, 609, 6325, 267, 10097, 5179, 17603, 2336, 2171, 2027, 1047, 538, 19620, 595, 831, 18339, 541, 476, 9610, 294, 267, 476, 9610, 295, 543, 476, 9610, 298, 5179, 17603, 543, 3334, 547, 607, 20642, 2783, 1107, 865, 596, 666, 1205, 519, 2640, 540, 513, 1007, 5179, 1178, 1457, 693, 513, 6824, 540, 519, 1942, 540, 513, 1007, 3684, 269, 13555, 721, 585, 811, 1344, 610, 547, 1865, 707, 2115, 269, 0, 2005, 3315, 1315, 31790, 454, 289, 514, 9222, 476, 2641, 267, 519, 1034, 1271, 8998, 593, 519, 1121, 27320, 540, 519, 1744, 334, 1695, 538, 30912, 267, 568, 4092, 693, 519, 1394, 540, 30912, 781, 6239, 13749, 267, 538, 22402, 2630, 519, 3760, 1377, 269, 23642, 9222, 476, 2641, 568, 513, 1244, 677, 566, 18189, 8118, 538, 476, 1001, 274, 267, 543, 2094, 476, 1708, 273, 8075, 519, 10418, 585, 12634, 11657, 566, 563, 1103, 519, 2038, 5756, 540, 519, 476, 736, 628, 2540, 267, 713, 3135, 729, 1031, 585, 796, 2903, 532, 543, 15205, 13875, 543, 1185, 1463, 1569, 547, 966, 807, 12113, 7949, 324, 589, 1636, 328, 630, 339, 3736, 623, 807, 3960, 320, 3798, 12107, 808, 269, 6380, 571, 267, 476, 272, 1070, 593, 519, 1318, 11804, 2427, 540, 519, 6728, 269, 3371, 972, 568, 513, 1804, 6679, 5078, 585, 519, 13675, 540, 18114, 267, 609, 513, 1360, 2620, 26654, 3330, 563, 1103, 519, 1974, 1063, 476, 3707, 274, 543, 476, 3707, 276, 267, 1282, 519, 13303, 13567, 543, 519, 7969, 4317, 6243, 267, 3875, 5996, 9081, 540, 6014, 1004, 8977, 539, 689, 1934, 267, 30758, 585, 519, 13303, 5834, 543, 608, 3410, 1588, 13122, 267, 5631, 26401, 5174, 597, 5287, 879, 269, 634, 3786, 729, 849, 519, 22576, 1448, 585, 930, 5996, 9081, 540, 2797, 14586, 30758, 585, 631, 2246, 27346, 523, 610, 267, 1927, 609, 6014, 1244, 677, 4315, 267, 547, 26187, 10008, 18302, 3786, 563, 763, 1412, 2903, 532, 262, 540, 519, 1244, 677, 4315, 3576, 1747, 538, 513, 1804, 4158, 1858, 267, 2476, 689, 533, 11538, 4064, 269, 634, 4483, 689, 519, 30912, 3150, 7890, 540, 5842, 966, 8636, 648, 547, 519, 6239, 13749, 729, 5645, 856, 693, 21554, 269, 634, 14586, 267, 16081, 4364, 883, 561, 528, 1845, 602, 941, 6806, 1055, 676, 1804, 13545, 335, 4954, 1231, 267, 8452, 693, 519, 11895, 1377, 540, 966, 807, 12113, 7949, 324, 589, 1636, 328, 267, 543, 941, 16041, 609, 3196, 9624, 627, 30178, 267, 3458, 4461, 543, 13626, 532, 5243, 267, 5196, 12418, 530, 30368, 799, 11074, 593, 519, 13475, 538, 519, 27811, 851, 269, 634, 530, 6782, 729, 1287, 5116, 593, 513, 21986, 532, 536, 690, 773, 267, 799, 6410, 2059, 519, 13475, 540, 513, 1279, 11895, 15993, 267, 729, 5116, 593, 513, 1286, 12740, 543, 24850, 909, 547, 606, 1930, 25101, 695, 2863, 532, 3950, 267, 1141, 621, 8977, 539, 689, 1310, 1373, 13745, 547, 519, 1964, 540, 519, 5996, 1195, 563, 10666, 32210, 1244, 677, 4315, 829, 530, 6782, 267, 17065, 7458, 883, 513, 1360, 1507, 2230, 267, 941, 7142, 547, 2951, 585, 2395, 538, 11375, 3861, 2175, 269, 901, 3135, 267, 1141, 519, 17341, 1631, 6763, 267, 814, 1164, 3140, 543, 7198, 1871, 267, 1813, 547, 519, 2168, 8699, 540, 891, 5624, 267, 799, 723, 1044, 17468, 547, 741, 3312, 5920, 607, 1454, 607, 2009, 998, 15456, 26995, 960, 267, 8497, 519, 4191, 540, 942, 593, 519, 18674, 6405, 543, 4401, 3889, 563, 763, 8905, 3330, 519, 17341, 4652, 9529, 2059, 5318, 11623, 695, 709, 4765, 538, 513, 19706, 1350, 7112, 269, 898, 568, 606, 1995, 602, 2488, 6209, 1344, 543, 859, 10280, 2178, 4664, 267, 11291, 532, 519, 2250, 2621, 602, 519, 1604, 28420, 538, 513, 22880, 543, 10853, 1769, 269, 769, 1562, 11825, 539, 609, 588, 3415, 16563, 267, 513, 19711, 748, 6846, 543, 10978, 678, 22824, 666, 581, 4862, 4947, 689, 519, 18109, 267, 799, 695, 1389, 519, 3003, 25810, 6989, 267, 15427, 676, 14884, 3001, 593, 519, 13475, 1657, 563, 763, 17341, 13408, 1079, 1898, 2694, 269, 634, 1747, 540, 3816, 27320, 267, 9967, 540, 519, 1858, 540, 519, 13475, 267, 1141, 519, 512, 29168, 666, 581, 2938, 538, 3178, 543, 1141, 519, 9931, 540, 18780, 568, 4092, 269, 2201, 713, 3774, 519, 476, 6507, 275, 4408, 540, 519, 6014, 1004, 1244, 9285, 538, 519, 1101, 1079, 5996, 9081, 630, 277, 5412, 476, 3707, 274, 543, 476, 1789, 5130, 476, 3707, 275, 1070, 616, 23678, 1386, 269, 1452, 5996, 9081, 4682, 2047, 689, 519, 6239, 13749, 547, 26401, 5174, 597, 5287, 879, 543, 1152, 8938, 5498, 1597, 540, 519, 1244, 677, 4315, 15068, 269, 634, 8440, 540, 519, 8628, 14266, 267, 13886, 1412, 297, 712, 2284, 540, 3816, 27320, 3299, 616, 4092, 2059, 519, 22225, 540, 519, 12732, 269, 634, 3816, 27320, 22544, 267, 1775, 4318, 269, 519, 1565, 543, 1353, 3296, 267, 568, 1287, 4092, 538, 519, 8265, 1922, 5217, 1858, 269, 1703, 568, 849, 606, 2912, 3218, 1756, 538, 519, 25810, 267, 8655, 547, 15872, 543, 9840, 563, 288, 3774, 693, 519, 13675, 547, 519, 17341, 12217, 513, 1804, 30115, 1412, 785, 29924, 3299, 799, 267, 2687, 547, 700, 559, 10005, 21540, 516, 945, 729, 1244, 9285, 1934, 607, 513, 476, 1724, 4458, 6040, 543, 22508, 2299, 15068, 267, 729, 835, 540, 519, 1883, 4128, 602, 1500, 519, 13357, 540, 519, 1744, 334, 1695, 2009, 269, 0, 289, 19495, 9141, 11272, 6174, 609, 27532, 4858, 6362, 5106, 454, 17138, 281, 4197, 3204, 17654, 4858, 6362, 538, 11272, 30863, 4635, 30731, 29896, 454, 7072, 281, 769, 713, 11191, 5850, 267, 649, 786, 2263, 519, 1523, 540, 27532, 29584, 538, 3167, 6472, 630, 14110, 338 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]