Datasets:
SmallDoge
/
decay_dataset_processed

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 658, 16242, 543, 17240, 572, 15580, 2725, 25979, 538, 519, 7435, 454, 27751, 540, 519, 2107, 20811, 10029, 9730, 563, 306, 30371, 793, 267, 26955, 329, 14504, 642, 340, 2336, 14818, 532, 519, 2013, 585, 811, 23948, 566, 538, 7147, 454, 292, 11797, 543, 9698, 538, 519, 6099, 3761, 540, 513, 1857, 1434, 454, 314, 294, 7949, 532, 27404, 547, 7812, 26186, 603, 24358, 2304, 28842, 1304, 1433, 454, 303, 3420, 2084, 547, 2087, 1072, 1949, 2773, 454, 11514, 23002, 2861, 1148, 2069, 630, 291, 10621, 292, 264, 568, 513, 3350, 547, 6451, 15312, 267, 18638, 2504, 267, 1148, 1686, 267, 543, 1148, 9880, 883, 513, 6437, 540, 6044, 538, 519, 6575, 563, 763, 476, 1015, 3594, 538, 713, 1433, 1445, 593, 519, 1909, 540, 10952, 15312, 538, 519, 9015, 540, 1148, 2069, 269, 667, 22866, 883, 1079, 2694, 267, 851, 476, 272, 540, 519, 1433, 568, 606, 3801, 547, 1397, 519, 7872, 540, 7311, 24764, 676, 281, 589, 20469, 2069, 281, 513, 1909, 585, 15312, 1697, 6902, 9210, 5255, 25207, 543, 10083, 538, 12716, 11407, 6902, 1323, 16650, 1790, 1156, 1580, 1670, 2272, 540, 12716, 2069, 6902, 9737, 519, 17608, 3750, 543, 519, 9631, 23036, 2615, 2247, 281, 5039, 1108, 607, 513, 1505, 585, 1148, 2275, 15560, 543, 12716, 2079, 4534, 16248, 4798, 585, 8159, 513, 2268, 540, 12716, 7924, 563, 291, 22866, 883, 2947, 2694, 267, 713, 16320, 1108, 23607, 1585, 3344, 540, 519, 3069, 543, 2259, 540, 15312, 543, 12716, 2069, 269, 3962, 851, 3568, 606, 4367, 543, 4930, 676, 1585, 4589, 563, 8512, 476, 272, 267, 834, 288, 652, 12060, 607, 513, 12197, 540, 5530, 2437, 14592, 12716, 2055, 267, 2013, 2042, 267, 2010, 540, 12716, 3069, 267, 543, 2487, 15312, 538, 4789, 543, 519, 2136, 2276, 269, 276, 270, 276, 263, 273, 1916, 288, 652, 12060, 267, 610, 519, 6138, 540, 1148, 267, 568, 5310, 519, 1034, 13542, 727, 9015, 23647, 538, 513, 9015, 2861, 1935, 547, 1148, 2069, 269, 898, 568, 13542, 727, 585, 1082, 4128, 267, 1519, 922, 7361, 11913, 2470, 543, 519, 3668, 540, 1995, 540, 1034, 1148, 3610, 563, 258, 5649, 3883, 3331, 495, 1323, 589, 652, 12060, 585, 3203, 30451, 2340, 505, 486, 7454, 661, 1504, 267, 1323, 589, 652, 12060, 1280, 3203, 30451, 1635, 26290, 2940, 14731, 918, 6130, 514, 901, 1772, 15020, 6153, 1656, 2142, 3699, 634, 6301, 13445, 1677, 3367, 267, 634, 22419, 3657, 15020, 28635, 329, 1575, 1656, 11408, 6875, 6184, 17508, 3245, 634, 12937, 2986, 634, 3883, 1323, 589, 652, 12060, 1280, 3203, 30451, 267, 4828, 1635, 26290, 2940, 14731, 918, 6130, 514, 1772, 3767, 2201, 3776, 19534, 563, 2304, 589, 652, 12060, 585, 3203, 30451, 267, 715, 918, 4097, 5668, 27701, 269, 1280, 1346, 8348, 547, 960, 693, 1620, 1148, 538, 1931, 547, 4001, 621, 269, 918, 879, 653, 514, 523, 267, 670, 9508, 543, 3367, 667, 1731, 564, 267, 15769, 267, 12367, 538, 3203, 4065, 3245, 667, 5744, 27639, 563, 298, 749, 17344, 267, 681, 269, 22718, 5753, 781, 3203, 269, 589, 652, 12060, 568, 513, 851, 540, 6138, 799, 13290, 547, 21264, 519, 2470, 540, 1148, 282, 538, 2482, 2006, 2474, 267, 621, 568, 513, 1305, 540, 3652, 799, 2337, 721, 538, 32198, 513, 4062, 540, 1148, 269, 634, 1249, 602, 1148, 11710, 689, 6138, 2306, 2631, 1317, 938, 8226, 540, 1148, 568, 5631, 8200, 2390, 519, 1480, 2470, 267, 8754, 267, 621, 568, 2067, 602, 15312, 568, 10952, 563, 28893, 5525, 1977, 5525, 9147, 14033, 5101, 543, 5527, 3203, 3778, 7489, 5525, 3883, 3778, 543, 14295, 2762, 19978, 5525, 18190, 5525, 4065, 3778, 6014, 5525, 9085, 543, 8836, 5525, 19932, 543, 23008, 2524, 9012, 5525, 563, 4517, 2094, 12716, 2298, 568, 13671, 538, 519, 6575, 267, 519, 1353, 540, 2575, 267, 7544, 267, 12416, 543, 519, 3308, 6575, 1034, 2047, 10953, 12716, 4656, 563, 288, 20469, 2069, 10741, 909, 2127, 540, 1565, 1932, 25864, 4810, 538, 1153, 281, 519, 1379, 540, 513, 960, 540, 1148, 547, 2981, 1453, 543, 3610, 282, 519, 11450, 540, 2875, 543, 4116, 4687, 269, 538, 519, 3703, 4750, 540, 589, 652, 12060, 267, 519, 4750, 540, 589, 20469, 4065, 267, 519, 4750, 540, 589, 652, 12060, 543, 3203, 29576, 267, 519, 4750, 540, 10025, 769, 11431, 267, 661, 2738, 543, 31283, 267, 519, 10228, 18361, 540, 589, 652, 12060, 543, 519, 30296, 1290, 1790, 534, 542, 547, 589, 652, 12060, 563, 5472, 540, 519, 1570, 594, 723, 1031, 689, 891, 4574, 814, 1044, 14916, 17370, 9287, 269, 23583, 24023, 269, 769, 713, 1433, 19375, 18307, 2719, 12857, 519, 5467, 547, 1883, 7811, 2055, 2404, 609, 6575, 2069, 543, 5693, 6941, 875, 891, 616, 1644, 547, 2259, 563, 2005, 3091, 606, 22265, 2272, 540, 875, 2093, 4143, 547, 2069, 616, 9619, 676, 1883, 4589, 538, 15312, 267, 1148, 3069, 543, 2686, 2090, 269, 3331, 486, 28356, 589, 652, 12060, 568, 513, 536, 719, 1664, 2564, 838, 320, 5059, 593, 519, 3203, 543, 3163, 540, 25925, 269, 15576, 27444, 543, 14811, 8124, 616, 1312, 29237, 31943, 619, 609, 513, 5916, 476, 1428, 1296, 540, 1995, 538, 519, 589, 20469, 12752, 563, 5445, 723, 519, 1455, 3804, 540, 3246, 4190, 543, 2067, 2164, 585, 741, 7218, 543, 2141, 11441, 547, 1118, 741, 7218, 1413, 543, 1745, 741, 269, 634, 25043, 540, 589, 652, 12060, 267, 3203, 267, 543, 3203, 4065, 9607, 519, 991, 585, 513, 2582, 4704, 602, 786, 1683, 7855, 543, 3872, 16895, 609, 4909, 1344, 543, 606, 813, 26150, 540, 1699, 1382, 538, 713, 4101, 1858, 563, 763, 20334, 547, 713, 13181, 4320, 7682, 602, 15312, 568, 513, 2596, 1480, 3210, 543, 602, 7390, 656, 24764, 676, 281, 9293, 827, 5961, 281, 634, 2239, 1148, 540, 1453, 781, 4605, 2835, 563, 288, 1492, 985, 267, 11908, 281, 2160, 540, 11908, 4964, 269, 744, 3149, 327, 753, 5652, 267, 645, 269, 16514, 713, 281, 1323, 1148, 22372, 3332, 1982, 269, 12409, 15557, 269, 476, 7871, 263, 272, 1070, 853, 758, 13702, 328, 267, 631, 269, 634, 2495, 540, 12716, 4656, 585, 23021, 538, 513, 9754, 1362, 563, 9209, 4065, 267, 476, 4391, 263, 273, 1070, 594, 786, 1152, 1039, 1250, 2123, 1995, 1210, 621, 538, 519, 4928, 269, 1280, 519, 2063, 8717, 713, 1433, 814, 1044, 1250, 3119, 1257, 3450, 15938, 2489, 2069, 6030, 538, 15312, 269, 594, 899, 621, 585, 1079, 4128, 281, 476, 272, 264, 24023, 3217, 513, 1796, 593, 29708, 4441, 540, 1148, 543, 1219, 1742, 602, 1796, 563, 1607, 568, 1360, 3730, 538, 606, 15312, 1576, 269, 589, 20469, 14374, 7512, 1053, 547, 24808, 8847, 540, 1148, 267, 3406, 585, 2495, 267, 543, 22962, 741, 5380, 676, 1565, 824, 1004, 779, 5784, 827, 1018, 1148, 1522, 581, 269, 769, 3450, 513, 3903, 2861, 1148, 6437, 267, 7855, 2307, 1053, 540, 782, 6502, 547, 14719, 622, 1148, 779, 2495, 998, 12716, 14374, 563, 288, 652, 12060, 543, 8551, 4065, 269, 1306, 1148, 7855, 2015, 519, 10083, 540, 513, 2647, 2039, 540, 10459, 547, 519, 3450, 540, 1148, 267, 589, 652, 12060, 543, 8551, 4065, 630, 320, 24288, 547, 519, 4320, 589, 652, 12060, 543, 519, 10819, 540, 4065, 264, 3091, 606, 3486, 1413, 693, 519, 1909, 15312, 666, 1404, 538, 3450, 782, 519, 910, 18314, 4930, 676, 1977, 543, 2296, 563, 10214, 1354, 3203, 607, 15232, 1546, 28838, 781, 12591, 593, 15312, 543, 1148, 6766, 267, 543, 941, 6766, 676, 267, 971, 5830, 607, 281, 6307, 631, 1638, 523, 630, 1070, 945, 6026, 29468, 593, 15312, 543, 729, 21133, 10615, 540, 4065, 585, 519, 4446, 5886, 7690, 282, 18039, 11370, 1069, 5674, 518, 630, 1070, 945, 729, 1776, 21133, 10615, 540, 4065, 693, 519, 4446, 5886, 563, 289, 10154, 2946, 667, 269, 3243, 2590, 543, 631, 699, 974, 595, 269, 590, 21417, 27231, 523, 540, 519, 2160, 5441, 590, 329, 19508, 961, 663, 538, 16862, 5581, 12716, 1565, 585, 1453, 607, 4376, 602, 568, 7499, 267, 6492, 995, 543, 2283, 783, 269, 6307, 2904, 525, 5652, 267, 2278, 540, 834, 15900, 19974, 4065, 2437, 2882, 538, 1200, 1433, 11271, 593, 1148, 267, 12470, 4479, 267, 12416, 267, 3860, 5559, 18267, 543, 1256, 3860, 1426, 3785, 563, 21893, 1433, 568, 606, 11141, 22920, 543, 835, 547, 799, 594, 786, 1419, 2132, 585, 29454, 543, 5075, 1701, 4534, 4065, 5525, 834, 763, 1433, 568, 4023, 267, 6662, 267, 543, 3102, 538, 922, 5348, 4038, 1143, 1701, 4534, 634, 4750, 540, 589, 652, 12060, 543, 3203, 29576, 269, 5525, 538, 3203, 4065, 281, 589, 4750, 540, 12983, 543, 3194, 5525, 538, 3203, 4065, 568, 513, 9263, 24595, 267, 10116, 569, 4760, 602, 5359, 11050, 267, 12007, 267, 3140, 267, 543, 10952, 1382, 538, 1148, 2069, 267, 1519, 29293, 540, 3069, 543, 2259, 538, 519, 2127, 540, 1148, 2504, 267, 1148, 9880, 267, 15312, 267, 1148, 1686, 267, 1480, 20136, 729, 513, 1390, 2376, 563, 2252, 4896, 568, 5461, 538, 3606, 1344, 593, 4928, 15312, 267, 979, 547, 543, 1413, 585, 606, 2376, 1572, 281, 27915, 519, 589, 20469, 8943, 676, 9995, 571, 30338, 269, 19626, 18722, 6261, 518, 787, 1290, 7757, 593, 808, 1924, 1082, 3860, 2093, 585, 8337, 909, 543, 21352, 532, 12250, 5468, 6993, 652, 12060, 267, 610, 1609, 12060, 630, 270, 476, 389, 505, 521, 476, 16659, 16564, 476, 389, 505, 512, 476, 22688, 737, 521, 267, 1775, 27474, 521, 268, 3331, 355, 521, 268, 270, 1070, 568, 513, 7936, 540, 6138, 602, 9388, 609, 519, 2470, 540, 5898, 543, 6492, 267, 607, 1134, 607, 519, 6138, 540, 1148, 630, 1080, 1378, 1858, 540, 6138, 602, 2501, 856, 540, 15312, 1916, 2005, 12116, 16148, 543, 9300, 328, 15041, 10899, 2418, 267, 610, 3006, 1572, 21520, 540, 18941, 543, 6492, 269, 589, 652, 12060, 6227, 1312, 2067, 543, 5841, 2959, 269, 0, 268, 1215, 17866, 568, 707, 2634, 888, 268, 1548, 851, 540, 519, 2634, 2306, 596, 1745, 1928, 888, 268, 6496, 519, 1480, 2634, 723, 4743, 888, 268, 1548, 1281, 2634, 6492, 899, 888, 268, 2052, 513, 2634, 4666, 1268, 581, 9800, 888, 268, 3657, 12058, 12457, 610, 11909, 888, 268, 1548, 568, 519, 4102, 1418, 538, 519, 1480, 1560, 888, 268, 2052, 596, 1745, 1510, 513, 2634, 888, 268, 6904, 851, 540, 519, 2634, 666, 596, 2661, 1510, 888, 268, 4208, 798, 594, 1745, 1928, 538, 1250, 2634, 888, 268, 1548, 1281, 2604, 593, 519, 2634, 1745, 899, 888, 268, 1772, 519, 2634, 2182, 610, 2571, 888, 268, 1772, 707, 2634, 476, 3583, 1216, 888, 268, 1215, 1279, 666, 596, 2661, 1510, 707, 2634, 888, 268, 7316, 798, 4351, 4555, 2097, 689, 888, 1692, 17866, 568, 707, 2634, 888, 2005, 7140, 856, 602, 519, 1480, 2634, 568, 1360, 17866, 563, 2005, 814, 513, 11007, 10169, 899, 795, 10314, 281, 2571, 543, 2695, 880, 344, 563, 21413, 11091, 543, 3114, 2182, 2287, 596, 7948, 1406, 4584, 513, 2634, 909, 10756, 1432, 851, 540, 519, 2634, 2306, 596, 1745, 1928, 888, 303, 926, 13926, 27914, 269, 634, 1647, 851, 540, 519, 2634, 267, 519, 533, 926, 13926, 27914, 2337, 513, 1268, 547, 2697, 3615, 543, 1174, 8901, 3347, 630, 3602, 835, 779, 1560, 568, 3379, 547, 3615, 1472, 519, 1268, 1040, 634, 533, 926, 13926, 27914, 568, 849, 3238, 538, 16208, 1928, 543, 5905, 538, 519, 1560, 563, 9989, 519, 1480, 2634, 723, 4743, 888, 763, 2634, 3294, 1281, 711, 1745, 1928, 1317, 972, 616, 1100, 562, 665, 823, 696, 832, 4092, 538, 2634, 5160, 3294, 269, 901, 4183, 6941, 1946, 5778, 338, 25973, 976, 666, 7500, 593, 2634, 5160, 1510, 4929, 513, 3461, 9636, 267, 543, 267, 538, 930, 2665, 267, 666, 1256, 1685, 6391, 1247, 519, 3461, 568, 25805, 563, 1432, 1281, 2634, 6492, 899, 888, 3080, 5856, 585, 5395, 1190, 661, 1846, 267, 945, 25541, 26545, 16940, 23758, 12058, 543, 5798, 267, 4330, 12058, 685, 8137, 607, 968, 534, 2711, 2065, 892, 1765, 2108, 16341, 6343, 899, 513, 6109, 3165, 887, 324, 267, 998, 1510, 519, 3165, 1465, 267, 540, 1576, 1848, 2480, 1090, 16940, 12058, 543, 5798, 616, 1776, 8670, 12286, 593, 1775, 313, 4861, 773, 11652, 15151, 267, 4212, 2634, 26545, 7632, 1131, 711, 581, 971, 513, 3983, 2856, 563, 4692, 513, 2634, 4666, 1268, 581, 9800, 888, 288, 1268, 945, 779, 2634, 4666, 568, 16155, 9672, 607, 4666, 269, 1358, 723, 1100, 4960, 540, 6051, 1317, 741, 1560, 568, 8572, 547, 7639, 1510, 5841, 1272, 1489, 563, 6701, 12058, 12457, 610, 11909, 888, 1103, 513, 2713, 1268, 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 ]
[ 4493, 267, 9363, 2476, 689, 519, 4887, 15319, 1145, 786, 581, 3833, 2653, 563, 5278, 1004, 14659, 602, 3478, 15319, 4887, 1797, 789, 991, 547, 4734, 519, 15904, 610, 519, 3635, 538, 519, 1647, 543, 1832, 593, 16889, 585, 2395, 543, 3275, 269, 1809, 713, 568, 11207, 513, 4636, 4640, 269, 901, 786, 2333, 707, 15319, 4887, 607, 519, 1973, 10009, 786, 3247, 693, 602, 1880, 851, 269, 2353, 596, 723, 547, 798, 568, 3136, 519, 2534, 585, 707, 596, 3893, 519, 15319, 4887, 269, 1809, 798, 621, 9900, 543, 7444, 269, 17652, 596, 666, 1294, 519, 15319, 4887, 568, 936, 563, 314, 19446, 4528, 9948, 0, 14294, 909, 585, 454, 27396, 622, 609, 707, 7127, 538, 835, 540, 938, 3318, 610, 2875, 17758, 2529, 793, 909, 585, 606, 8366, 454, 2791, 616, 1210, 606, 22573, 11422, 269, 7490, 22010, 707, 11422, 547, 2087, 707, 1995, 563, 301, 16197, 9222, 568, 513, 2520, 334, 30261, 1523, 585, 22986, 11808, 1759, 593, 2067, 19588, 269, 898, 6212, 593, 28811, 2127, 267, 17935, 693, 519, 1804, 4336, 267, 5934, 5826, 543, 5021, 4398, 269, 17214, 540, 27500, 2326, 621, 568, 2966, 547, 2743, 2789, 3252, 1519, 3246, 513, 11064, 689, 17605, 267, 13250, 540, 1216, 267, 12094, 585, 19155, 267, 4027, 1996, 12362, 2249, 267, 2653, 4859, 543, 17293, 689, 519, 2011, 269, 715, 16197, 9222, 5741, 568, 14102, 538, 11450, 609, 2229, 543, 2101, 13384, 832, 269, 2060, 519, 2208, 540, 519, 715, 16197, 926, 657, 519, 4104, 15998, 2253, 547, 32144, 543, 5385, 4719, 1570, 10446, 540, 1480, 2962, 563, 305, 1470, 632, 13191, 10098, 267, 8478 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3099, 540, 3615, 563, 2171, 941, 9599, 547, 3778, 713, 3018, 267, 1141, 649, 19927, 827, 18332, 19090, 543, 1946, 646, 729, 513, 4583, 24413, 269, 4438, 17323, 267, 649, 5910, 2105, 547, 581, 1412, 305, 664, 10809, 10812, 3464, 3299, 14045, 593, 799, 2371, 270, 534, 7769, 616, 689, 519, 22986, 610, 519, 3345, 13478, 1926, 18635, 543, 1946, 563, 5970, 606, 5863, 7008, 540, 4374, 1055, 2336, 28012, 667, 7174, 723, 1185, 513, 1360, 11112, 3018, 713, 3018, 282, 649, 723, 5189, 1412, 9743, 2315, 5675, 262, 607, 938, 1007, 1257, 1826, 538, 17402, 269, 1284, 8268, 1114, 2934, 540, 713, 1257, 269, 13174, 814, 1044, 2706, 713, 3018, 282, 519, 1453, 723, 12649, 4687, 543, 1018, 606, 5863, 2816, 789, 723, 2944, 269, 1284, 723, 1336, 602, 2200, 616, 1390, 2645, 950, 6061, 6498, 18304, 563, 1607, 3018, 814, 1044, 513, 1360, 11112, 3018, 256, 769, 17402, 267, 649, 723, 13736, 1603, 538, 938, 667, 9579, 548, 7734, 267, 3206, 540, 9735, 21371, 547, 1118, 938, 2984, 811, 3078, 269, 769, 13004, 649, 941, 3168, 693, 875, 547, 2995, 519, 942, 267, 5373, 3946, 593, 23234, 543, 12805, 1387, 4084, 23234, 547, 3059, 23234, 563, 2171, 8499, 10150, 938, 3163, 4245, 267, 1565, 827, 2371, 543, 1946, 789, 616, 14298, 1271, 269, 1284, 31002, 2694, 547, 513, 2030, 799, 941, 1287, 12758, 538, 938, 1888, 2835, 563, 11039, 2944, 9741, 667, 7174, 585, 1776, 9735, 3018, 2336, 8702, 1394, 3025, 256, 1284, 4312, 3323, 519, 4832, 2165, 2907, 256, 901, 476, 275, 1554, 3018, 814, 1044, 1360, 11112, 267, 11362, 2786, 883, 938, 1007, 15138, 6437, 1888, 282, 14175, 28014, 269, 3776, 1362, 2243, 568, 267, 1412, 3963, 568, 519, 22986, 865, 2027, 286, 23823, 28012, 667, 7174, 723, 3323, 9544, 5452, 540, 741, 1378, 543, 538, 519, 9205, 23794, 272, 1858, 1282, 938, 10131, 1554, 267, 649, 849, 4682, 10122, 585, 2371, 607, 1412, 8690, 3713, 1161, 8339, 2060, 713, 4190, 4365, 267, 649, 941, 2731, 2111, 547, 2972, 713, 2534, 269, 4438, 7924, 267, 649, 723, 3323, 938, 1007, 1650, 1412, 763, 808, 21819, 3883, 262, 543, 8499, 10150, 1565, 519, 1650, 609, 938, 1650, 14090, 269, 769, 13004, 267, 649, 723, 1044, 17265, 1840, 543, 12408, 1210, 513, 1297, 1899, 543, 1985, 3018, 649, 786, 2689, 30945, 269, 17949, 707, 15964, 16764, 2336, 1432, 513, 11112, 3018, 649, 723, 1185, 256, 4107, 1310, 7224, 976, 267, 649, 723, 1044, 8026, 2182, 593, 938, 6611, 2773, 267, 4712, 585, 1985, 3018, 256, 769, 17402, 267, 649, 723, 6192, 938, 11356, 5359, 267, 782, 827, 29484, 28226, 13941, 593, 519, 7599, 269, 769, 13174, 267, 649, 723, 12649, 2268, 676, 1210, 938, 1688, 12732, 547, 2268, 3615, 563, 31388, 729, 865, 1454, 1187, 267, 6029, 1055, 938, 4928, 543, 2182, 960, 547, 519, 3237, 945, 10272, 256, 1284, 8499, 10150, 1818, 10760, 10487, 6203, 910, 543, 9684, 596, 547, 930, 4079, 945, 7307, 547, 6443, 721, 609, 519, 1187, 2336, 2171, 616, 865, 9599, 827, 938, 2230, 2773, 1985, 3018, 543, 519, 14914, 14812, 2336, 1432, 1776, 17681, 3018, 538, 9741, 667, 7174, 269, 634, 1453, 723, 5249, 2706, 2182, 713, 3018, 538, 13004, 910, 649, 12649, 8454, 269, 1284, 1336, 8454, 540, 3615, 543, 540, 5666, 269, 1284, 10150, 1210, 6405, 3615, 547, 1397, 476, 272, 270, 273, 610, 476, 272, 270, 275, 269, 769, 17402, 267, 649, 1031, 938, 1412, 32143, 8346, 9221, 262, 547, 1118, 909, 930, 3078, 6386, 282, 513, 19036, 267, 513, 15743, 267, 513, 4158, 13946, 267, 513, 20909, 30103, 812, 543, 513, 11344, 4212, 26834, 910, 930, 5863, 2093, 941, 2322, 1927, 2336, 1103, 681, 9950, 267, 649, 1224, 519, 14914, 1650, 543, 12038, 827, 15437, 910, 799, 15437, 1118, 721, 6126, 543, 1946, 543, 799, 15437, 1118, 721, 8909, 543, 1946, 269, 2368, 7853, 1767, 267, 834, 303, 1074, 2306, 803, 8909, 1317, 1004, 4584, 7168, 11909, 5810, 950, 789, 12582, 1405, 1701, 543, 2576, 3116, 1767, 267, 834, 14117, 2306, 803, 865, 6126, 1317, 594, 1589, 540, 519, 3141, 543, 875, 3905, 621, 568, 256, 8487, 1103, 9741, 667, 7174, 713, 3018, 267, 649, 723, 8737, 938, 2984, 538, 17402, 543, 1413, 4464, 547, 1565, 513, 1007, 1257, 1985, 3018, 269, 769, 13004, 267, 649, 19927, 6310, 1893, 585, 2990, 543, 4287, 267, 649, 849, 12649, 3105, 1565, 3168, 693, 2338, 689, 476, 271, 268, 1911, 543, 8380, 873, 538, 1931, 563, 2171, 616, 865, 3168, 4464, 547, 938, 2230, 2773, 538, 513, 1906, 4374, 267, 543, 723, 1044, 8026, 2182, 1142, 12784, 910, 1565, 8964, 7933, 766, 13467, 563, 303, 4545, 820, 5198, 256, 2622, 1433, 1554, 256, 16727, 21233, 1862, 3286, 513, 1906, 5863, 1919, 602, 723, 5949, 713, 3018, 693, 1153, 269, 15526, 538, 9741, 667, 7174, 1705, 971, 513, 1390, 2816, 538, 519, 3443, 322, 820, 5198, 543, 9939, 1176, 519, 24106, 729, 856, 547, 1577, 621, 4755, 269, 962, 16518, 267, 4165, 3415, 6276, 910, 16727, 7669, 1067, 543, 513, 4759, 540, 2319, 26838, 3357, 547, 1153, 543, 3838, 1010, 5863, 2833, 609, 519, 1153, 267, 649, 1287, 1185, 513, 2911, 827, 2104, 3853, 543, 17050, 269, 1284, 849, 1185, 1390, 1187, 11264, 513, 5547, 609, 4165, 3415, 538, 519, 10689, 563, 9213, 729, 1158, 1433, 1554, 1141, 649, 21039, 909, 538, 938, 635, 325, 344, 623, 329, 338, 543, 1256, 1185, 519, 4316, 547, 1224, 609, 519, 1453, 689, 16593, 1362, 269, 2060, 971, 513, 11112, 3018, 267, 649, 1869, 19927, 827, 29484, 28226, 538, 3778, 543, 519, 2230, 5198, 910, 513, 2915, 543, 24564, 723, 1044, 547, 2230, 256, 769, 13004, 649, 3323, 547, 8308, 2995, 519, 942, 547, 519, 5662, 543, 538, 7924, 649, 3459, 3048, 908, 938, 6611, 2984, 563, 1103, 938, 1101, 3018, 1394, 1310, 3368, 2165, 267, 9741, 667, 7174, 723, 10150, 11173, 938, 2230, 1888, 910, 1284, 6170, 513, 7008, 540, 4245, 8888, 543, 2978, 2454, 938, 2230, 1207, 1375, 625, 1354, 4358, 547, 1118, 873, 269, 1358, 2811, 3592, 8737, 2907, 910, 5863, 2336, 1103, 13004, 649, 20460, 1243, 8691, 267, 1445, 28410, 593, 519, 476, 273, 267, 476, 276, 543, 476, 1015, 2053, 3349, 269, 1284, 941, 782, 2111, 547, 960, 856, 1297, 5220, 1210, 14249, 609, 1585, 6405, 3615, 910, 689, 9416, 7206, 547, 1404, 28273, 256, 769, 7924, 649, 723, 3323, 547, 1451, 938, 1007, 1650, 1572, 1412, 1692, 547, 6952, 513, 5182, 8339, 1284, 723, 513, 1650, 4786, 547, 3391, 721, 998, 519, 1650, 267, 4712, 585, 519, 9423, 6735, 1985, 3018, 563, 2005, 781, 519, 1439, 540, 2165, 2907, 543, 1018, 513, 1390, 2165, 621, 814, 1044, 256, 1284, 616, 3168, 4464, 547, 11173, 938, 2230, 1888, 950, 649, 2132, 910, 649, 786, 581, 3168, 693, 29484, 28226, 538, 3778, 563, 1607, 3018, 267, 649, 723, 1185, 865, 1454, 1187, 538, 623, 9950, 1141, 649, 13736, 18530, 543, 20414, 11084, 543, 13326, 609, 938, 4703, 269, 17402, 814, 1044, 3078, 1141, 649, 723, 2854, 938, 1344, 5931, 782, 827, 18347, 256, 769, 13004, 649, 723, 12649, 2724, 585, 513, 476, 273, 526, 3018, 543, 8268, 2081, 540, 1818, 1114, 5666, 563, 11039, 267, 2943, 1776, 1390, 3018, 538, 9741, 667, 7174, 269, 1284, 723, 6410, 593, 547, 513, 1007, 1257, 1826, 538, 17402, 910, 606, 1344, 1257, 269, 3776, 1257, 568, 782, 827, 519, 4541, 9370, 543, 649, 723, 1044, 1565, 3527, 2059, 609, 938, 1257, 4786, 269, 13174, 713, 3018, 267, 649, 723, 6743, 693, 2724, 1141, 649, 723, 1044, 2369, 2358, 543, 7234, 11113, 543, 875, 649, 917, 799, 11113, 616, 799, 563, 1103, 1148, 267, 649, 723, 1500, 519, 1034, 5863, 2250, 601, 12400, 540, 2230, 267, 6273, 676, 519, 7376, 23160, 2131, 623, 525, 2131, 269, 1452, 12400, 616, 593, 4159, 538, 938, 4928, 2059, 609, 938, 31244, 689, 2063, 3018, 563, 28012, 667, 7174, 723, 1185, 513, 1360, 11112, 3018, 713, 3018, 910, 538, 13174, 649, 19927, 827, 476, 274, 291, 5546, 543, 930, 540, 741, 3601, 267, 1141, 649, 849, 1031, 938, 9205, 1604, 547, 1294, 799, 476, 274, 291, 5546, 649, 1223, 1265, 269, 769, 17402, 649, 5206, 938, 3078, 1007, 2984, 282, 649, 3048, 730, 938, 8747, 689, 519, 1362, 1650, 1572, 634, 18903, 3212, 321, 1076, 269, 4438, 2257, 267, 649, 11567, 799, 2326, 1131, 581, 5078, 585, 513, 2230, 9290, 267, 621, 781, 1187, 2324, 1927, 543, 4152, 1114, 2326, 609, 1216, 269, 3203, 729, 849, 1644, 547, 938, 2230, 1888, 267, 1141, 649, 1500, 31244, 676, 23578, 1114, 25549, 1957, 538, 19821, 923, 910, 789, 616, 2469, 547, 581, 10268, 538, 938, 4928, 256, 1284, 8694, 938, 3018, 3257, 930, 1187, 7619, 923, 609, 6004, 24942, 593, 11016, 12784, 563, 1607, 3018, 538, 9741, 667, 7174, 267, 649, 723, 1445, 338, 539, 6266, 593, 3163, 282, 649, 723, 19927, 827, 519, 12405, 543, 1946, 649, 723, 873, 267, 649, 723, 19927, 827, 2326, 543, 4956, 593, 875, 547, 1895, 873, 910, 649, 1413, 4464, 547, 14045, 799, 2326, 786, 581, 1655, 585, 8888, 513, 2230, 9290, 2336, 1103, 7924, 649, 4797, 547, 3048, 622, 938, 1650, 7851, 543, 1869, 2972, 2542, 519, 2984, 547, 938, 4891, 267, 2523, 607, 649, 1705, 865, 1134, 7900, 938, 1650, 547, 11427, 7137, 787, 543, 824, 1032, 476, 277, 781, 2063, 3018, 269, 4438, 13004, 4245, 267, 649, 782, 12649, 12408, 543, 10150, 1210, 2200, 547, 948, 721, 1265, 519, 4267, 547, 938, 1297, 5220, 563, 3383, 2484, 713, 3018, 649, 723, 10150, 938, 10131, 1554, 585, 23794, 272, 781, 1007, 1888, 910, 6611, 269, 1284, 8036, 899, 20691, 267, 17696, 2230, 1426, 543, 1031, 938, 1983, 547, 2347, 1187, 4904, 4247, 269, 769, 13004, 649, 12649, 1747, 1871, 543, 19927, 875, 547, 1118, 476, 273, 7857, 2338, 609, 9937, 543, 3283, 269, 1284, 723, 13175, 1565, 827, 519, 476, 275, 12405, 543, 723, 938, 17681, 960, 10268, 538, 519, 4928, 563, 2171, 723, 849, 1044, 8026, 938, 1007, 1362, 1650, 910, 634, 18903, 3212, 321, 1076, 267, 4712, 585, 519, 9423, 6735, 1985, 3018, 563, 32452, 256, 1548, 606, 5863, 1101, 2165, 649, 723, 1185, 538, 9741, 667, 7174, 269, 901, 3018, 814, 1044, 865, 1454, 1187, 282, 3643, 689, 519, 16805, 4012, 6509, 267, 25381, 1733, 11170, 543, 513, 1360, 2027, 3643, 689, 12429, 8285, 910, 649, 782, 1745, 865, 18822, 602, 646, 3576, 942, 689, 1010, 11112, 8430, 547, 2097, 543, 1294, 721, 1862, 649, 3893, 6799, 1932, 269, 12429, 8285, 6487, 875, 2182, 9741, 667, 7174, 723, 5249, 713, 2165, 543, 5433, 602, 513, 3643, 729, 1134, 12236, 676, 3025, 2336, 2171, 616, 8909, 547, 1294, 519, 8748, 7323, 5101, 6229, 4734, 721, 585, 1200, 3078, 1007, 4876, 910, 649, 1131, 782, 899, 547, 9684, 1200, 585, 782, 1200, 1489, 543, 2182, 960, 538, 938, 1101, 2165, 538, 1032, 476, 272, 269, 1284, 3513, 4413, 596, 855, 6999, 596, 865, 1454, 9939, 2336, 30560, 787, 8285, 543, 513, 6126, 2635, 476, 1001, 278, 3025, 256, 2336, 1607, 3018, 649, 723, 1044, 1565, 547, 10208, 1210, 513, 1297, 1899, 269, 1284, 723, 849, 11567, 18946, 1210, 3818, 2000, 1074, 18695, 267, 19273, 543, 2831, 547, 948, 269, 769, 2296, 649, 723, 6192, 938, 1325, 5417, 514, 1650, 563, 2171, 723, 1044, 5393, 11112, 31667, 532, 585, 938, 8285, 14844, 2032, 543, 723, 1316, 2213, 538, 519, 10689, 269, 898, 568, 4947, 1927, 23182, 543, 649, 616, 2731, 1434, 693, 519, 8964, 2907, 2336, 18744, 835, 3923, 2394, 8285, 2336, 1607, 3018, 538, 13174, 649, 723, 1044, 5189, 547, 8454, 269, 1284, 723, 1044, 3168, 693, 8454, 540, 513, 3337, 543, 849, 875, 547, 2328, 8454, 607, 513, 1297, 563, 1103, 2296, 649, 723, 3323, 547, 2328, 938, 1378, 1650, 540, 1325, 5417, 514, 267, 4657, 1883, 2694, 540, 519, 1650, 971, 607, 519, 4259, 543, 3197, 563, 2171, 723, 1631, 3323, 547, 26821, 13465, 8964, 689, 938, 8285, 14844, 2032, 269, 8307, 2185, 4374, 547, 979, 2336, 2171, 723, 1185, 606, 3078, 543, 11112, 1101, 3018, 1394, 538, 9741, 667, 7174, 269, 2201, 11728, 519, 2898, 540, 1883, 3942, 476, 272, 4682, 883, 9741, 19681, 2125, 1362, 1141, 649, 3576, 851, 538, 938, 13622, 910, 538, 269, 3776, 1007, 1362, 1650, 729, 5189, 547, 721, 282, 1325, 5417, 514, 269, 1284, 723, 6170, 519, 3018, 1565, 519, 1650, 543, 1818, 909, 3527, 4712, 547, 1685, 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 ]
[ 1930, 16597, 5334, 21683, 267, 1412, 337, 10807, 607, 678, 325, 912, 2018, 3515, 815, 678, 325, 18667, 6050, 4590, 2018, 1948, 1820, 263, 6050, 11468, 1015, 7481, 2018, 585, 1899, 538, 3515, 912, 3546, 2749, 267, 3018, 1485, 267, 942, 12774, 815, 1899, 25331, 29328, 14061, 3464, 5902, 32384, 20889, 284, 273, 994, 3546, 5662, 267, 1295, 815, 942, 12774, 21858, 3488, 281, 5073, 3546, 2119, 912, 7386, 24303, 22710, 815, 942, 17301, 22607, 712, 1070, 703, 263, 2381, 4917, 7386, 4872, 12774, 6910, 9230, 322, 640, 267, 3018, 1485, 267, 24303, 22710, 4917, 3546, 4849, 28759, 607, 1130, 318, 20482, 912, 7386, 588, 1457, 337, 22182, 6600, 257, 2207, 305, 3036, 281, 2715, 1998, 318, 20482, 348, 15419, 825, 4849, 11711, 8253, 28062, 13286, 912, 1038, 588, 1457, 337, 22182, 6600, 257, 2207, 305, 3036, 281, 3758, 2715, 11907, 5334, 21683, 348, 1281, 711, 2291, 32405, 825, 4849, 744, 10345, 337, 2928, 607, 20093, 912, 1038, 588, 1457, 337, 22182, 6600, 257, 2207, 305, 3036, 281, 2715, 20482, 348, 15419, 825, 3116, 912, 1038, 4872, 12774, 31699, 4590, 1038, 17626, 1047, 15461, 18316, 6262, 885, 12774, 267, 1205, 318, 29798, 5091, 597, 3890, 1315, 834, 339, 2532, 273, 6831, 885, 12774, 4877, 9383, 5602, 1038, 26417, 16062, 1679, 10797, 692, 3698, 17626, 1047, 15461, 18316, 16597, 267, 3758, 24786, 2187, 825, 2119, 912, 1038, 609, 1930, 31526, 24786, 267, 1412, 342, 321, 10807, 607, 535, 342, 912, 2018, 4584, 548, 6155, 2794, 16597, 267, 535, 342, 994, 825, 4849, 4584, 548, 10422, 1157, 1782, 13286, 607, 20093, 912, 1038, 588, 1457, 337, 22182, 6600, 257, 2207, 305, 3036, 950, 17626, 1944, 519, 1239, 281, 2715, 20482, 348, 5602, 825, 4849, 744, 10345, 337, 2928, 607, 20093, 912, 1038, 588, 1457, 337, 22182, 6600, 257, 2207, 305, 3036, 1247, 1603, 547, 519, 3758, 2715, 12803, 24786, 348, 24097, 333, 346, 20482, 348, 257, 9239, 16482, 258, 17130, 476, 274, 454, 16482, 258, 1411, 616, 2016, 513, 1257, 3758, 602, 8638, 2407, 3758, 10092, 585, 513, 19619, 540, 2592, 454, 258, 630, 821, 3239, 3758, 2619, 829, 1899, 1040, 3503, 513, 1599, 602, 14509, 538, 519, 1543, 454, 258, 540, 713, 1257, 3758, 543, 1281, 519, 1739, 912, 258, 910, 12523, 519, 1297, 540, 2592, 538, 1142, 7121, 267, 543, 8637, 519, 17223, 454, 258, 567, 12523, 538, 513, 26417, 3758, 538, 519, 3898, 281, 7121, 12173, 267, 3239, 18045, 454, 258, 910, 5932, 543, 8637, 630, 514, 513, 3758, 264, 513, 8675, 609, 519, 3239, 7121, 607, 454, 258, 567, 519, 1883, 543, 513, 1592, 540, 3239, 4408, 538, 519, 7222, 7121, 607, 1871, 3248, 258, 567, 585, 4859, 946, 476, 272, 264, 4584, 548, 543, 476, 273, 264, 6692, 557, 563, 16482, 16482, 258, 8074, 281, 585, 513, 8799, 2656, 4367, 547, 519, 6692, 557, 9074, 267, 1294, 281, 4179, 2517, 335, 2096, 582, 342, 2593, 270, 274, 4882, 3559, 557, 270, 692, 5228, 10070, 1104, 9949, 18743, 267, 22388, 454, 5814, 6692, 557, 692, 3698, 1184, 318, 13548, 6958, 3796, 16597, 5334, 21683, 17107, 825, 1219, 2328, 15461, 32269, 10031, 1038, 2119, 912, 2018, 609, 1930, 263, 1326, 318, 29798, 5091, 597, 3890, 1315, 1412, 339, 2532, 274, 6831, 14394, 18045, 338, 27406, 3299, 1412, 342, 10807, 607, 535, 322, 12364, 912, 3546, 26417, 16062, 31581, 815, 26417, 9884, 31581, 6600, 322, 12364, 994, 3546, 26417, 16062, 31581, 9884, 31581, 578, 263, 3488, 322, 14394, 3299, 1412, 325, 516, 336, 29125, 3546, 585, 6221, 538, 3032, 18045, 338, 29096, 10031, 7386, 26417, 16062, 31581, 9884, 31581, 578, 263, 14403, 994, 1038, 4849, 26417, 9950, 337, 2928, 607, 20093, 912, 2018, 588, 1457, 337, 22182, 6600, 257, 2207, 305, 3036, 1247, 1603, 547, 26417, 3758, 24097, 333, 346, 20482, 348, 15419, 825, 1219, 1039, 15461, 5334, 3559, 557, 10031, 1038, 2119, 912, 2018, 1948, 8074, 281, 6692, 557, 269, 13449, 1599, 1281, 711, 1489, 2619, 12221, 10422, 987, 267, 865, 267, 649, 723, 547, 454, 2018, 1948, 2981, 519, 11202, 1843, 547, 922, 5569, 6041, 454, 2018, 609, 6692, 557, 269, 13449, 19304, 263, 1326, 318, 29798, 5091, 597, 3890, 1315, 1412, 339, 2532, 274, 318, 19112, 5334, 3559, 557, 30670, 1412, 322, 10807, 607, 535, 338, 912, 3546, 585, 3032, 267, 708, 326, 8217, 538, 708, 326, 18380, 29096, 10031, 7386, 535, 338, 314, 13906, 316, 815, 708, 326, 8217, 454, 1038, 4849, 1401, 4003, 607, 20093, 912, 2018, 588, 1457, 337, 22182, 6600, 257, 2207, 305, 3036, 950, 1603, 547, 6692, 557, 24097, 333, 346, 20482, 348, 257, 9239, 825, 6688, 815, 11713, 825, 708, 326, 18380, 815, 9949, 18743, 17338, 2020, 825, 2119, 912, 1038, 609, 1930, 16597, 5334, 21683, 267, 1412, 337, 10807, 607, 9992, 912, 2018, 3515, 815, 1496, 1467, 25331, 29328, 3890, 585, 1899, 538, 9992, 18667, 6050, 3890, 2639, 2018, 1948, 1820, 263, 6050, 11468, 1015, 7481, 2018, 585, 1899, 538, 3515, 912, 3546, 2119, 912, 7386, 588, 327, 267, 7121, 267, 708, 326, 18316, 815, 1899, 269, 3464, 5902, 3488, 270, 3299, 3193, 20889, 284, 273, 994, 7386, 6688, 6910, 6262, 14394, 994, 7386, 708, 326, 18380, 314, 322, 14394, 4940, 6572, 263, 19112, 18316, 994, 3546, 4849, 28759, 607, 1130, 318, 20482, 912, 7386, 588, 1457, 337, 22182, 6600, 257, 2207, 305, 3036, 281, 2715, 1998, 318, 20482, 348, 5602, 825, 4849, 11711, 8253, 28062, 13286, 912, 1038, 588, 1457, 337, 22182, 6600, 257, 2207, 305, 3036, 281, 3758, 1412, 346, 11907, 5334, 21683, 348, 262, 1281, 711, 2291, 5602, 825, 4849, 744, 10345, 337, 2928, 607, 20093, 912, 1038, 588, 1457, 337, 22182, 6600, 257, 2207, 305, 3036, 281, 2715, 20482, 348, 15419, 825, 3116, 912, 1038, 3032, 18045, 338, 815, 22388, 6262, 20975, 994, 1038, 2328, 15461, 32269, 10797, 1038, 17626, 1047, 15461, 18316, 263, 19112, 18380, 267, 1205, 318, 29798, 5091, 597, 3890, 1315, 1412, 339, 2532, 274, 318, 13548, 5091, 5315, 4877, 9383, 5073, 1038, 1039, 15461, 5334, 3559, 557, 10797, 692, 16482, 258, 17130, 476, 275, 454, 16482, 258, 3503, 513, 1599, 602, 11392, 1079, 1257, 6119, 609, 8638, 540, 2338, 630, 15759, 619, 264, 538, 454, 258, 873, 630, 821, 1297, 829, 1899, 1040, 634, 1599, 14439, 519, 2338, 1459, 538, 1312, 454, 258, 8638, 543, 11339, 873, 1524, 538, 513, 1007, 3758, 630, 553, 513, 1592, 540, 2338, 1916, 258, 8074, 281, 621, 949, 4755, 602, 711, 782, 3515, 538, 519, 3403, 6119, 2270, 2338, 267, 865, 2676, 258, 1310, 2542, 538, 519, 1543, 540, 519, 6119, 267, 26924, 602, 1152, 10230, 2418, 616, 454, 258, 2808, 585, 6476, 563, 16482, 258, 8074, 281, 1759, 593, 713, 3635, 912, 258, 4179, 2517, 4178, 4877, 847, 545, 788, 3155, 3820, 270, 1410, 9052, 270, 1001, 275, 270, 1321, 270, 1691, 270, 2537, 1922, 850, 27492, 331, 777, 11258, 7531, 3698, 1224, 5332, 13246, 318, 5228, 18316, 16597, 5334, 21683, 2187, 825, 2338, 815, 11713, 825, 2119, 912, 1038, 609, 1930, 16597, 5334, 21683, 267, 1412, 337, 10807, 607, 9992, 912, 2018, 585, 1899, 538, 9992, 18667, 6050, 10031, 3546, 2119, 912, 7386, 2338, 6910, 17301, 263, 1467, 14714, 8692, 3890, 4917, 3546, 4849, 28759, 912, 7386, 588, 1457, 337, 22182, 6600, 257, 8253, 513, 7089, 630, 27845, 301, 264, 9571, 281, 1412, 346, 1467, 14714, 8692, 3890, 348, 262, 282, 1236, 6235, 621, 14826, 5602, 825, 4849, 11711, 8253, 28062, 13286, 912, 1038, 588, 1457, 337, 22182, 6600, 257, 2207, 305, 3036, 281, 3758, 1412, 346, 11907, 5334, 21683, 348, 262, 1281, 711, 2291, 14826, 5602, 825, 4849, 744, 10345, 337, 2928, 607, 20093, 912, 1038, 588, 1457, 337, 22182, 6600, 257, 2207, 305, 3036, 281, 2715, 20482, 4153, 333, 5602, 825, 6368, 912, 1038, 2132, 2338, 7531, 3698, 2328, 5332, 13246, 18425, 318, 21720, 16597, 5334, 21683, 318, 272, 267, 1239, 5334, 21683, 318, 273, 17107, 825, 2338, 318, 272, 815, 1224, 5332, 13246, 318, 5228, 18316, 16597, 5334, 21683, 318, 272, 994, 825, 2338, 318, 273, 815, 1224, 5332, 13246, 318, 5228, 18316, 16597, 5334, 21683, 318, 273, 2020, 825, 2338, 18425, 318, 21720, 815, 1496, 11133, 585, 1003, 538, 2338, 318, 272, 952, 1003, 538, 2338, 318, 273, 2639, 825, 17626, 1047, 15461, 18316, 3799, 13246, 18425, 318, 21720, 267, 1205, 318, 29798, 5091, 597, 3890, 1315, 1412, 339, 2532, 275, 5332, 13246, 18425, 318, 21720, 4877, 9383, 17210, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 1384, 825, 1224, 5334, 677, 16062, 1679, 263, 1326, 12774, 5091, 597, 3890, 1315, 1412, 338, 2217, 18316, 12173, 17902, 17210, 825, 1948, 1224, 16062, 1679, 6831, 885, 12774, 263, 1326, 12774, 5091, 597, 3890, 1315, 834, 322, 885, 318, 663, 4671, 1307, 17902, 15419, 825, 1948, 609, 1930, 263, 1326, 318, 29798, 5091, 597, 3890, 1315, 1412, 339, 2532, 273, 6831, 885, 12774, 4877, 9383, 3299, 1412, 337, 321, 10807, 607, 535, 335, 9383, 912, 825, 1948, 672, 1239, 815, 4584, 548, 269, 2903, 6600, 335, 9383, 994, 825, 1948, 672, 1820, 16597, 2020, 825, 1948, 1184, 318, 13548, 6958, 3796, 263, 1326, 12774, 5091, 597, 3890, 1315, 834, 13548, 6958, 3796, 318, 1721, 4671, 20995, 17902, 15419, 825, 1948, 1948, 8074, 281, 6692, 557, 269, 13449, 1599, 1281, 711, 1489, 2619, 12221, 10422, 987, 267, 865, 267, 649, 723, 547, 454, 825, 1948, 1948, 2981, 519, 11202, 1843, 547, 922, 5569, 6041, 454, 825, 1948, 609, 6692, 557, 269, 13449, 19304, 263, 1326, 318, 29798, 5091, 597, 3890, 1315, 1412, 339, 2532, 274, 318, 19112, 5334, 3559, 557, 30670, 1412, 337, 10807, 607, 521, 325, 912, 825, 1948, 672, 585, 3032, 267, 708, 326, 8217, 538, 521, 325, 29096, 10031, 825, 1948, 1363, 1820, 6600, 257, 346, 13906, 348, 281, 834, 1341, 834, 2437, 269, 21860, 263, 19112, 8217, 264, 9239, 825, 1948, 512, 275, 6958, 272, 815, 1205, 12774, 5091, 597, 3890, 1315, 834, 1440, 11948, 13246, 17902, 4840, 825, 1948, 512, 275, 6958, 273, 815, 1205, 12774, 5091, 597, 3890, 1315, 834, 327, 1952, 2106, 13246, 17902, 4840, 825, 1948, 2328, 5332, 13246, 18425, 318, 21720, 6025, 275, 6958, 272, 267, 512, 275, 6958, 273, 2020, 825, 1948, 609, 1930, 263, 1326, 318, 29798, 5091, 597, 3890, 1315, 834, 339, 2532, 275, 5332, 13246, 18425, 318, 21720, 4877, 9383, 2580, 834, 337, 321, 8442, 607, 536, 325, 912, 825, 1948, 672, 2164, 815, 4584, 548, 269, 2903, 6357, 325, 994, 825, 1948, 672, 1820, 263, 29798, 264, 0, 258, 2285, 513, 2262, 607, 513, 3593, 3403, 267, 1820, 519, 1267, 540, 14178, 1022, 1279, 24008, 547, 519, 3259, 540, 476, 276, 563, 258, 865, 952, 519, 3593, 11378, 519, 2262, 1434, 1287, 621, 786, 1689, 547, 25341, 979, 5622, 797, 692, 258, 1279, 24008, 815, 513, 267, 552, 267, 1775, 267, 522, 267, 579, 692, 258, 5401, 519, 3593, 585, 3403, 454, 2745, 28361, 333, 8923, 4283, 513, 2262, 17210, 258, 1247, 8520, 547, 1294, 952, 519, 3593, 9411, 513, 5569, 610, 711, 454, 6112, 6936, 912, 825, 2119, 912, 1038, 3593, 17750, 815, 3403, 3488, 285, 30386, 1038, 568, 23952, 815, 703, 263, 12528, 17750, 994, 1038, 1820, 28361, 333, 1103, 20777, 3403, 267, 5225, 4283, 513, 5569, 5073, 825, 4849, 28759, 912, 1038, 2736, 692, 258, 1354, 1279, 4756, 454, 29592, 9078, 784, 815, 3593, 17750, 692, 258, 6460, 621, 547, 27608, 585, 938, 952, 3948, 2630, 630, 21955, 585, 519, 1101, 4484, 994, 12528, 17750, 815, 3593, 17750, 314, 271, 316, 1341, 3593, 17750, 314, 272, 281, 4940, 12294, 10797, 258, 4831, 4756, 454, 322, 3300, 815, 476, 271, 692, 258, 4756, 602, 3568, 519, 3259, 540, 519, 5569, 3403, 1540, 454, 26319, 15058, 23952, 815, 7003, 263, 12528, 17750, 2020, 258, 585, 8520, 547, 979, 998, 1142, 4484, 538, 519, 2262, 519, 3593, 814, 3403, 1540, 563, 1721, 3197, 538, 3593, 17750, 912, 825, 1948, 952, 3948, 547, 1294, 952, 4831, 11203, 3259, 15058, 23952, 910, 272, 454, 825, 952, 4831, 11203, 630, 26319, 15058, 23952, 910, 476, 272, 2187, 1038, 1948, 1985, 1915, 4756, 454, 1038, 1985, 318, 10420, 815, 476, 3593, 17750, 314, 322, 3300, 1341, 476, 272, 2639, 825, 3116, 912, 1038, 1985, 318, 10420, 815, 1412, 7055, 825, 1948, 20006, 513, 1630, 18978, 15254, 1572, 568, 513, 20262, 267, 786, 581, 3020, 952, 513, 1915, 568, 513, 20262, 454, 825, 568, 24449, 578, 601, 815, 630, 10420, 3030, 2652, 1412, 320, 262, 610, 3197, 2652, 1412, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1892, 19750, 5751, 538, 875, 547, 4431, 267, 2497, 513, 3210, 3092, 454, 1892, 29594, 532, 547, 11980, 5022, 630, 4537, 4157, 686, 16660, 6465, 990, 857, 994, 1892, 10434, 3562, 268, 22046, 3562, 3584, 8276, 612, 1137, 454, 1892, 12333, 543, 5837, 21140, 282, 5683, 4808, 543, 2152, 454, 1892, 8892, 2866, 267, 1382, 543, 1646, 2115, 585, 2043, 267, 585, 674, 14011, 543, 585, 2228, 2790, 1072, 11865, 454, 4002, 476, 2767, 5181, 476, 1001, 277, 267, 519, 10324, 8689, 267, 15516, 269, 966, 5028, 681, 2114, 22894, 543, 519, 4604, 4759, 267, 6004, 269, 22956, 4208, 974, 267, 1185, 513, 5870, 609, 3571, 20056, 1890, 267, 6004, 269, 2977, 534, 715, 4134, 328, 563, 7628, 519, 5870, 972, 729, 4901, 827, 519, 10781, 540, 7690, 8625, 24640, 807, 267, 543, 519, 7399, 540, 2417, 9316, 1063, 519, 1079, 6105, 563, 4002, 13628, 267, 476, 2537, 4873, 476, 1001, 277, 267, 649, 4371, 513, 5870, 538, 519, 13646, 540, 7690, 8625, 24640, 807, 609, 519, 4966, 540, 519, 3896, 8940, 8542, 4157, 16660, 23439, 655, 269, 531, 563, 7628, 519, 5870, 972, 729, 4901, 827, 519, 3356, 267, 10781, 543, 7965, 540, 2228, 5646, 18522, 269, 898, 729, 6700, 602, 649, 10891, 1776, 29519, 609, 519, 2832, 540, 14304, 2228, 5646, 18522, 1983, 269, 1284, 786, 4440, 10891, 713, 29519, 1282, 5239, 609, 3486, 30157, 538, 519, 2361, 540, 2228, 5646, 18522, 563, 2005, 729, 6700, 602, 649, 22738, 1382, 538, 519, 2361, 540, 6107, 2790, 1072, 563, 2467, 729, 849, 4901, 540, 519, 1101, 10554, 799, 786, 581, 4371, 538, 5437, 476, 1001, 277, 543, 938, 4966, 941, 14376, 547, 7119, 543, 1459, 741, 1382, 593, 2790, 1072, 563, 4002, 476, 273, 4873, 476, 1001, 277, 267, 7690, 8625, 24640, 807, 729, 14376, 547, 519, 5925, 6728, 968, 20238, 1470, 13488, 892, 547, 2911, 827, 519, 2228, 5646, 18522, 3760, 968, 301, 4157, 8614, 966, 564, 655, 892, 630, 4178, 8542, 4157, 16660, 23439, 655, 269, 531, 264, 4586, 2108, 20238, 1470, 13488, 892, 568, 513, 5925, 6728, 799, 568, 2442, 609, 1762, 1004, 538, 24640, 807, 267, 543, 865, 2818, 540, 674, 14011, 941, 14376, 547, 1459, 741, 1788, 2047, 547, 519, 1762, 5304, 269, 4438, 519, 6881, 621, 729, 6045, 875, 519, 3896, 8940, 8542, 4157, 16660, 23439, 655, 269, 531, 1568, 543, 519, 2640, 602, 713, 2228, 543, 14804, 3760, 6770, 563, 21930, 1004, 945, 941, 6947, 547, 519, 1982, 1185, 519, 7872, 547, 6494, 6835, 543, 2307, 585, 811, 1344, 3823, 938, 3896, 563, 4002, 476, 2420, 2904, 476, 1001, 277, 267, 519, 15272, 20871, 12876, 3576, 1747, 538, 570, 597, 3570, 267, 607, 606, 11036, 540, 519, 27391, 1275, 540, 570, 597, 3570, 543, 519, 10615, 622, 540, 15272, 267, 593, 2961, 6954, 4303, 563, 28062, 566, 8625, 24640, 807, 729, 851, 540, 713, 12876, 267, 609, 741, 968, 2791, 616, 3502, 1325, 821, 892, 1788, 563, 11847, 6974, 2510, 540, 570, 597, 3570, 27391, 1275, 543, 519, 10615, 622, 540, 15272, 941, 1459, 1282, 519, 2534, 28551, 543, 7249, 7806, 6819, 721, 585, 519, 960, 12913, 865, 2484, 563, 763, 1244, 14280, 25650, 267, 6004, 1547, 6635, 6798, 631, 1794, 23364, 340, 267, 849, 1459, 693, 519, 4023, 267, 11074, 547, 26250, 968, 2791, 616, 711, 1325, 821, 892, 538, 519, 7690, 8625, 24640, 807, 1630, 1054, 267, 9299, 2358, 519, 960, 543, 519, 2956, 540, 713, 3028, 585, 1762, 1004, 563, 4002, 476, 272, 1107, 476, 274, 4989, 267, 7690, 8625, 24640, 807, 267, 609, 519, 1489, 540, 519, 21785, 21150, 29983, 267, 4371, 519, 27519, 8490, 12054, 14373, 540, 519, 6732, 6076, 18522, 12243, 540, 562, 4157, 16660, 23439, 655, 269, 531, 1299, 562, 4157, 16660, 23439, 14492, 538, 20736, 337, 25612, 338, 269, 20226, 689, 1312, 7270, 15548, 538, 519, 29519, 267, 2059, 609, 519, 10324, 8689, 540, 7690, 8625, 11427, 269, 966, 5028, 681, 2114, 22894, 267, 519, 4604, 2818, 540, 7690, 8625, 24230, 13960, 267, 6004, 269, 667, 1662, 600, 597, 645, 25612, 337, 343, 1638, 328, 543, 11427, 269, 8585, 7534, 7137, 22781, 267, 543, 519, 30157, 6004, 269, 15537, 717, 1601, 543, 631, 1087, 269, 17939, 710, 853, 2454, 4546, 325, 563, 763, 29519, 729, 3366, 676, 6004, 269, 717, 1601, 267, 945, 5059, 593, 519, 2596, 3652, 540, 2228, 5646, 18522, 267, 15091, 519, 2956, 540, 6568, 950, 2324, 2228, 267, 14129, 519, 5626, 3344, 538, 2228, 5121, 267, 543, 849, 519, 968, 2710, 1606, 892, 543, 5213, 1406, 1606, 892, 540, 2228, 5646, 18522, 563, 16039, 269, 17939, 710, 853, 2454, 4546, 325, 609, 2647, 1995, 538, 2228, 5646, 18522, 585, 1004, 609, 29047, 4555, 267, 12006, 519, 3919, 540, 3210, 950, 3755, 2328, 827, 1582, 3620, 9879, 4555, 610, 4606, 540, 27945, 1145, 563, 4002, 13628, 267, 476, 4029, 4728, 476, 1001, 277, 267, 7690, 8625, 24640, 807, 4371, 606, 2680, 547, 3895, 519, 5646, 18522, 3896, 8940, 8542, 4157, 16660, 23439, 655, 269, 531, 693, 519, 22402, 540, 2910, 291, 630, 290, 10938, 585, 7046, 1145, 543, 15511, 264, 538, 519, 11788, 10579, 779, 2679, 269, 901, 2680, 729, 5059, 593, 5275, 948, 607, 606, 16832, 543, 2556, 7613, 585, 782, 1762, 1004, 563, 763, 1445, 540, 519, 2680, 729, 1164, 1153, 1053, 689, 6341, 328, 2605, 1662, 25612, 686, 4400, 3427, 543, 1656, 517, 2098, 752, 334, 595, 1690, 1575, 328, 4400, 3427, 267, 945, 941, 10483, 676, 741, 1153, 16895, 267, 11427, 269, 594, 1066, 320, 595, 11253, 267, 543, 11427, 269, 661, 671, 320, 11370, 329, 926, 563, 763, 2680, 729, 13984, 676, 519, 5605, 26513, 540, 16157, 267, 6004, 269, 808, 2335, 5696, 987, 340, 267, 1927, 609, 1010, 26393, 6004, 269, 12794, 752, 517, 2349, 1678, 523, 321, 3073, 267, 2489, 8689, 693, 519, 21785, 14579, 12080, 543, 519, 931, 592, 540, 16157, 538, 24640, 807, 563, 16031, 269, 5696, 987, 340, 538, 1010, 28551, 4633, 547, 519, 1762, 1004, 1705, 711, 29709, 547, 2446, 602, 1373, 1762, 568, 2352, 711, 1152, 538, 938, 2528, 267, 855, 538, 1082, 824, 4529, 543, 2477, 1472, 519, 1158, 269, 1261, 9415, 519, 1762, 1004, 547, 960, 2182, 593, 741, 5079, 676, 22348, 873, 602, 789, 968, 22664, 10691, 9338, 24535, 892, 2336, 4002, 476, 2641, 4728, 476, 1001, 277, 267, 7690, 8625, 24640, 807, 729, 14376, 547, 1491, 851, 538, 519, 8613, 1982, 968, 291, 527, 25612, 552, 1234, 892, 547, 3895, 519, 2228, 5646, 18522, 3760, 968, 301, 4157, 8614, 966, 564, 655, 892, 630, 4178, 8542, 4157, 16660, 23439, 655, 269, 531, 994, 763, 1788, 4717, 13541, 15516, 269, 1323, 13453, 2098, 320, 9809, 324, 12038, 827, 519, 1788, 6388, 543, 2238, 799, 723, 1044, 6896, 547, 3895, 4656, 540, 519, 22045, 676, 1762, 1004, 538, 24640, 807, 543, 13383, 907, 15516, 269, 2098, 320, 9809, 324, 849, 6045, 875, 519, 3896, 8940, 8542, 4157, 16660, 23439, 655, 269, 531, 1568, 543, 519, 2640, 602, 713, 2228, 3760, 6770, 563, 8340, 519, 2407, 6881, 538, 519, 3095, 2630, 10778, 763, 5234, 540, 7690, 8625, 24640, 807, 4371, 513, 5870, 547, 3895, 519, 2228, 5646, 18522, 3760, 968, 301, 4157, 8614, 966, 564, 655, 892, 630, 4178, 8542, 4157, 16660, 23439, 655, 269, 531, 264, 609, 519, 3119, 18689, 25808, 540, 713, 1788, 267, 519, 14038, 563, 4002, 476, 2420, 5988, 476, 1001, 277, 267, 674, 14011, 5795, 513, 6881, 547, 1053, 693, 6341, 328, 2605, 1662, 25612, 686, 4400, 3427, 538, 570, 597, 3570, 269, 4438, 519, 6881, 519, 5234, 2818, 540, 519, 7690, 6045, 875, 519, 3896, 8940, 8542, 4157, 16660, 23439, 655, 269, 531, 1568, 543, 519, 2640, 602, 713, 2228, 3760, 6770, 269, 634, 14038, 20888, 713, 11036, 607, 621, 729, 1945, 602, 729, 7508, 538, 741, 2729, 269, 4340, 547, 873, 267, 835, 540, 519, 1292, 2188, 602, 2306, 713, 1788, 865, 10694, 568, 519, 22637, 602, 519, 3028, 3091, 563, 4002, 476, 1015, 5988, 476, 1001, 277, 267, 7690, 8625, 24640, 807, 9250, 519, 968, 301, 4157, 8614, 966, 564, 655, 892, 1788, 267, 519, 1101, 3896, 585, 2228, 5646, 18522, 538, 24640, 807, 563, 763, 2680, 729, 4371, 693, 570, 1638, 320, 8836, 4741, 269, 21816, 17621, 4966, 267, 2818, 540, 824, 1271, 3906, 538, 519, 2197, 267, 13222, 540, 519, 27391, 1275, 267, 6167, 32019, 267, 543, 13222, 540, 1114, 3687, 31559, 782, 13984, 519, 2680, 563, 2005, 568, 4502, 15663, 602, 519, 2680, 729, 13984, 676, 519, 14012, 540, 16743, 543, 5398, 10029, 15516, 269, 715, 559, 6511, 4498, 17010, 267, 543, 519, 21785, 5605, 26513, 6004, 269, 808, 22528, 5696, 987, 340, 267, 945, 10483, 676, 519, 10324, 8689, 540, 519, 7690, 15516, 269, 966, 5028, 681, 2114, 22894, 5795, 606, 6679, 4633, 563, 7628, 519, 2680, 972, 941, 12644, 676, 519, 968, 9172, 3711, 2993, 594, 966, 4150, 557, 7377, 1638, 648, 892, 543, 519, 1134, 8153, 22256, 6004, 269, 24640, 715, 574, 8643, 563, 4002, 11016, 267, 476, 2420, 5130, 267, 649, 4371, 513, 9910, 13652, 1456, 609, 519, 4966, 602, 723, 8815, 547, 581, 851, 540, 938, 2228, 5646, 18522, 3896, 267, 538, 519, 13646, 540, 7690, 8625, 24640, 807, 563, 763, 4966, 602, 941, 1459, 281, 4414, 7431, 667, 644, 25775, 267, 2037, 328, 21741, 27495, 267, 18112, 7637, 623, 2086, 19441, 267, 17939, 329, 7637, 645, 2958, 340, 267, 1488, 323, 7534, 31704, 20891, 340, 267, 26290, 6511, 700, 850, 267, 9324, 13453, 715, 323, 516, 6390, 267, 2107, 338, 2723, 320, 21007, 3873, 267, 4432, 6665, 7377, 1690, 267, 4432, 329, 7431, 667, 710, 563, 763, 5870, 729, 3366, 676, 519, 10324, 8689, 267, 15516, 269, 966, 5028, 681, 2114, 22894, 269, 634, 1788, 4717, 13541, 543, 1788, 13930, 941, 849, 1459, 563, 7628, 519, 5870, 267, 649, 4843, 519, 16293, 609, 519, 3652, 540, 2228, 5646, 18522, 267, 519, 1259, 621, 1568, 267, 1018, 789, 723, 547, 917, 538, 1931, 547, 798, 519, 960, 538, 519, 1655, 2009, 1259, 269, 1284, 4843, 873, 609, 930, 1806, 689, 519, 3896, 562, 4157, 16660, 23439, 14492, 269, 1284, 5941, 519, 1806, 543, 23503, 936, 519, 1935, 649, 1058, 723, 950, 649, 2626, 519, 2055, 267, 610, 519, 4145, 540, 519, 3755, 563, 4002, 476, 1691, 268, 1626, 5130, 476, 1001, 277, 267, 538, 519, 13646, 540, 7690, 8625, 24640, 807, 267, 513, 2866, 8400, 729, 4371, 593, 3896, 7245, 563, 763, 2866, 729, 5342, 676, 519, 10324, 8689, 15516, 269, 966, 5028, 681, 2114, 22894, 543, 519, 3896, 16984, 540, 8940, 8542, 4157, 16660, 23439, 14492, 563, 5445, 5795, 2866, 543, 7778, 547, 519, 1357, 16984, 540, 8940, 8542, 4157, 329, 5271, 339, 655, 269, 531, 827, 875, 519, 3896, 1568, 267, 875, 547, 2671, 1007, 2055, 543, 2022, 4966, 685, 4267, 563, 8512, 540, 519, 2866, 729, 849, 519, 4901, 827, 22637, 267, 5683, 4808, 267, 543, 875, 547, 2149, 519, 3896, 3755, 689, 1373, 6534, 563, 4002, 476, 866, 5437, 476, 1001, 276, 267, 7690, 8625, 24640, 807, 267, 538, 519, 5943, 540, 519, 1788, 2048, 2791, 616, 711, 4805, 8730, 2228, 5646, 18522, 585, 519, 1762, 1004, 540, 24640, 807, 267, 6896, 1079, 11401, 609, 1053, 540, 519, 9457, 779, 1982, 693, 519, 20513, 540, 4317, 7070, 267, 10017, 7936, 267, 602, 1185, 6829, 519, 7287, 547, 581, 851, 540, 519, 28007, 1895, 585, 519, 2228, 5646, 18522, 3896, 8940, 8542, 4157, 16660, 23439, 655, 269, 531, 454, 763, 5870, 729, 4371, 693, 519, 13646, 540, 674, 14011, 543, 729, 3366, 676, 519, 10324, 8689, 267, 15516, 269, 966, 5028, 681, 2114, 22894, 269, 4438, 519, 5870, 267, 519, 1788, 729, 4843, 538, 1469, 609, 782, 519, 25727, 602, 4866, 547, 519, 960, 543, 7029, 540, 15321, 4966, 538, 3896, 5646, 18522, 267, 1519, 3318, 543, 2930, 4441, 269, 0, 1692, 1677, 2142, 513, 2048, 14187, 1323, 6827, 528, 685, 1923, 5240, 454, 4263, 1715, 10215, 779, 1101, 2973, 1648, 10554, 267, 715, 24359, 8678, 4229, 609, 4966, 543, 3401, 689, 519, 2475, 543, 1715, 10215, 547, 1865, 1514, 543, 2883, 7496, 547, 1232, 12365, 5314, 454, 301, 792, 519, 7187, 9133, 540, 1715, 10215, 779, 7599, 11057, 6532, 4182, 267, 519, 4262, 24864, 519, 2244, 693, 513, 1747, 1572, 570, 5953, 332, 13403, 25120, 19313, 340, 267, 799, 538, 519, 6805, 631, 5953, 9461, 1893, 1797, 2048, 307, 5953, 332, 13403, 524, 913, 1540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10371, 476, 1428, 692, 9654, 1547, 268, 7726, 32666, 3267, 3267, 3267, 3267, 476, 5541, 32465, 3267, 3267, 3267, 3267, 3267, 3267, 3267, 3267, 3267, 3267, 3267, 3267, 3267, 1547, 1626, 692, 23997, 1547, 268, 1230, 7501, 3267, 3267, 3267, 3267, 476, 5541, 2807, 1862, 3267, 3267, 3267, 3267, 3267, 3267, 3267, 3267, 23099, 3267, 3267, 3267, 10371, 476, 1704, 692, 309, 7656, 1547, 268, 31639, 3267, 3267, 23099, 907, 476, 5541, 2807, 3267, 3267, 3267, 3267, 3267, 3267, 3267, 3267, 3267, 3267, 3267, 3267, 3267, 476, 1704, 692, 29020, 1384, 763, 2875, 786, 1174, 543, 6023, 519, 1697, 7664, 540, 7937, 332, 781, 1876, 267, 602, 693, 519, 1439, 540, 2259, 267, 568, 538, 9165, 912, 1892, 12433, 519, 28696, 267, 14768, 267, 7060, 543, 5706, 1734, 602, 616, 1459, 538, 513, 5547, 563, 1892, 4197, 519, 2623, 540, 1699, 609, 519, 6453, 563, 1892, 4197, 519, 2623, 540, 1699, 5976, 2463, 547, 4187, 563, 1892, 14216, 633, 7937, 332, 781, 1876, 780, 300, 1468, 1384, 1892, 476, 272, 298, 19315, 332, 27856, 476, 26528, 26910, 543, 476, 272, 3852, 358, 547, 476, 272, 26910, 563, 1892, 654, 2231, 585, 4296, 563, 1892, 476, 275, 9669, 19337, 910, 32613, 1807, 563, 1892, 476, 273, 2798, 2353, 580, 1807, 910, 32613, 1807, 563, 1892, 570, 933, 14162, 619, 543, 5969, 6316, 563, 1892, 476, 272, 1494, 540, 476, 273, 269, 276, 4893, 2129, 916, 610, 2362, 780, 5938, 600, 1384, 1892, 476, 272, 3059, 1617, 9014, 563, 1892, 476, 272, 4756, 6453, 2707, 780, 296, 269, 910, 11933, 3749, 4985, 692, 15121, 300, 24202, 32045, 454, 17764, 332, 781, 25187, 267, 2022, 4327, 676, 4436, 22301, 543, 21997, 9677, 17363, 7937, 332, 267, 568, 835, 540, 519, 4909, 4031, 540, 6850, 323, 3428, 923, 267, 5702, 5532, 547, 519, 2418, 722, 489, 25991, 1993, 519, 2596, 4559, 1459, 538, 1022, 5122, 5547, 1519, 912, 272, 269, 30579, 610, 6453, 834, 292, 257, 538, 18699, 630, 309, 1916, 273, 269, 2271, 3748, 540, 519, 1699, 834, 296, 257, 538, 18041, 699, 630, 288, 1916, 274, 269, 18650, 834, 305, 257, 538, 19315, 916, 20465, 610, 7082, 540, 519, 4452, 4448, 547, 519, 5547, 563, 275, 269, 30579, 610, 14179, 5653, 834, 292, 257, 538, 18699, 630, 309, 1916, 276, 269, 2271, 3748, 540, 519, 1699, 834, 296, 257, 538, 18041, 699, 630, 288, 1916, 277, 269, 18650, 834, 305, 257, 538, 19315, 916, 20465, 610, 7082, 540, 519, 4452, 4448, 547, 519, 5547, 563, 18814, 547, 519, 6228, 540, 2326, 602, 1118, 621, 811, 2352, 982, 1866, 8429, 5122, 1699, 998, 873, 267, 950, 519, 1871, 540, 4187, 9775, 267, 519, 1871, 540, 519, 1699, 538, 18041, 699, 849, 9775, 11201, 569, 269, 2334, 568, 267, 607, 519, 4187, 27463, 1162, 519, 1699, 11081, 543, 13030, 17930, 267, 950, 4187, 547, 1699, 2095, 11081, 519, 1699, 4679, 267, 3177, 602, 538, 1312, 2665, 519, 1871, 540, 519, 6453, 610, 6453, 3586, 780, 13010, 543, 538, 13076, 609, 519, 2920, 3294, 267, 519, 1871, 540, 519, 6453, 610, 6453, 568, 2047, 14354, 547, 519, 8515, 540, 519, 1699, 267, 865, 952, 519, 6453, 4679, 610, 11081, 519, 993, 704, 720, 540, 519, 1699, 6503, 532, 998, 519, 5547, 786, 2333, 610, 6175, 538, 519, 1482, 8167, 607, 1279, 607, 519, 1871, 540, 519, 19919, 4448, 547, 519, 5547, 3788, 3586, 563, 14197, 13429, 540, 7937, 332, 781, 4521, 454, 763, 1699, 2095, 538, 993, 701, 637, 13576, 538, 513, 6806, 5122, 5547, 568, 2047, 14354, 547, 519, 6453, 610, 4294, 6453, 543, 11201, 569, 14354, 547, 519, 4187, 538, 19315, 916, 540, 519, 4452, 568, 4448, 563, 14197, 3901, 3012, 673, 4542, 547, 2099, 519, 19315, 332, 1876, 692, 5804, 519, 6310, 1448, 540, 2070, 519, 20790, 1657, 666, 581, 6719, 676, 519, 1739, 2489, 4542, 585, 7937, 332, 781, 4521, 1384, 21446, 894, 2259, 912, 17829, 1447, 1644, 547, 519, 24999, 540, 6310, 12596, 666, 849, 1685, 9273, 540, 6453, 267, 1699, 543, 4187, 585, 7937, 332, 781, 4521, 267, 606, 4443, 1259, 1210, 519, 1739, 4052, 4199, 281, 1862 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3777, 9398, 269, 898, 568, 3957, 585, 922, 10359, 267, 799, 267, 693, 513, 3845, 267, 568, 513, 12094, 540, 3039, 3766, 9445, 269, 2311, 6251, 2039, 267, 922, 10359, 568, 3818, 23469, 267, 1813, 547, 14034, 540, 5835, 29744, 543, 3109, 593, 519, 24827, 269, 898, 568, 9631, 16622, 5387, 267, 4466, 6484, 538, 3592, 1022, 1604, 267, 543, 2111, 547, 3082, 609, 1114, 25061, 12485, 269, 20124, 281, 17124, 10067, 10972, 10127, 574, 454, 1103, 519, 3296, 834, 31636, 2580, 621, 781, 7150, 834, 8448, 13047, 3074, 1331, 3267, 834, 338, 920, 4461, 257, 630, 11666, 6681, 1164, 1790, 3558, 4992, 14775, 547, 2178, 4664, 29215, 1772, 621, 1634, 602, 3777, 9398, 723, 4664, 286, 6496, 519, 11855, 1433, 5815, 602, 891, 22171, 616, 7680, 7553, 286, 1403, 713, 568, 606, 21107, 3903, 547, 2057, 2357, 6798, 720, 899, 834, 514, 3871, 602, 267, 547, 519, 3328, 1480, 267, 1131, 581, 14156, 9901, 2580, 594, 666, 1174, 713, 695, 2180, 663, 269, 12846, 267, 6148, 2576, 609, 1569, 547, 519, 1433, 1223, 1592, 856, 3871, 538, 799, 519, 834, 338, 920, 600, 257, 568, 1500, 286, 2443, 300, 342, 30476, 1428, 630, 339, 1779, 264, 476, 4905, 281, 866, 267, 476, 1428, 5239, 476, 1001, 276, 630, 7473, 290, 264, 11847, 569, 314, 516, 2952, 2639, 296, 15974, 547, 1491, 593, 713, 2689, 543, 594, 786, 1353, 519, 2376, 538, 1469, 16172, 269, 3733, 3355, 12705, 568, 1434, 267, 855, 594, 666, 1294, 693, 2899, 602, 519, 1291, 3296, 568, 1932, 2110, 585, 606, 2376, 540, 713, 2450, 269, 634, 1291, 1058, 1683, 513, 5758, 540, 519, 1344, 538, 519, 1560, 540, 519, 1257, 267, 4304, 519, 1292, 2798, 689, 1142, 540, 519, 1114, 6810, 269, 595, 342, 332, 327, 4275, 996, 630, 339, 1779, 264, 476, 866, 281, 4962, 267, 476, 1839, 5239, 476, 1001, 276, 630, 7473, 290, 264, 11847, 569, 314, 516, 2952, 2639, 296, 993, 8380, 713, 2689, 593, 3180, 585, 835, 3018, 269, 1403, 1282, 602, 942, 2962, 568, 3144, 593, 519, 2152, 6659, 1657, 267, 594, 786, 2689, 519, 2376, 538, 1469, 269, 1403, 711, 267, 594, 786, 3111, 713, 9930, 1588, 269, 595, 342, 332, 327, 4275, 996, 630, 339, 1779, 264, 476, 6021, 281, 736, 267, 476, 275, 5437, 476, 1001, 276, 630, 7473, 290, 264, 11847, 569, 314, 516, 2952, 2639, 28012, 2962, 814, 1044, 3144, 593, 519, 6927, 5018, 1657, 676, 519, 562, 7631, 1807, 269, 1717, 267, 22508, 2299, 1776, 9375, 814, 22621, 930, 540, 519, 18340, 799, 729, 1932, 2673, 547, 519, 2707, 267, 543, 594, 1265, 602, 519, 824, 5299, 341, 3930, 16143, 676, 834, 28606, 23143, 2580, 941, 7301, 1064, 14476, 1141, 519, 9504, 2376, 729, 23652, 676, 3544, 9988, 269, 595, 342, 332, 327, 4275, 996, 630, 339, 1779, 264, 476, 6021, 281, 2641, 267, 476, 1428, 5437, 476, 1001, 276, 630, 7473, 290, 264, 11847, 569, 314, 516, 2952, 2639, 763, 2376, 568, 1134, 2854, 543, 5360, 625, 609, 631, 5308, 4808, 593, 18340, 543, 8239, 267, 2497, 543, 11768, 563, 763, 2376, 3096, 1082, 6325, 3791, 18407, 2959, 267, 543, 2306, 7928, 14327, 547, 873, 269, 594, 798, 711, 3494, 621, 3568, 3312, 1382, 563, 763, 2376, 6227, 519, 1292, 3344, 540, 519, 1641, 543, 3788, 1445, 338, 539, 563, 763, 2376, 568, 9243, 563, 763, 2376, 568, 7123, 563, 763, 2592, 616, 4143, 543, 723, 5078, 3061, 687, 267, 543, 616, 2901, 538, 519, 1857, 6389, 610, 5265, 13931, 563, 29806, 4879, 910, 594, 3494, 713, 2376, 10301, 519, 21781, 7355, 269, 595, 342, 332, 327, 4275, 996, 630, 339, 1779, 264, 476, 6021, 281, 2641, 267, 476, 1428, 5437, 476, 1001, 276, 630, 7473, 290, 264, 11847, 569, 314, 516, 2952, 316, 0, 1692, 547, 32754, 28066, 2657, 454, 2252, 596, 723, 9667, 2152, 267, 1565, 875, 547, 2087, 8937, 1072, 568, 2629, 269, 901, 2376, 3947, 4388, 593, 875, 547, 3548, 513, 7059, 543, 2635, 2732, 543, 2057, 6456, 2959, 540, 1395, 657, 30828, 269, 3680, 4006, 267, 9268, 3536, 267, 715, 6347, 31312, 267, 543, 824, 5841, 6653, 22211, 269, 3680, 6527, 971, 607, 29469, 543, 3548, 513, 3376, 2039, 540, 2898, 3536, 3638, 538, 25168, 1156, 11169, 269, 2659, 9667, 8778, 568, 1500, 909, 540, 17542, 540, 4551, 267, 543, 621, 568, 4105, 547, 2327, 621, 568, 1134, 1922, 4233, 532, 543, 2635, 563, 291, 1392, 1518, 707, 2732, 454, 291, 1392, 4328, 707, 2732, 568, 835, 540, 519, 1655, 2081, 547, 2087, 519, 1072, 540, 707, 22435, 269, 2755, 519, 6093, 7262, 2732, 568, 28119, 538, 4763, 19962, 547, 519, 1804, 8167, 540, 9268, 3536, 4006, 267, 3170, 267, 543, 4006, 606, 3413, 23308, 2732, 786, 5000, 519, 1646, 540, 6225, 4551, 269, 1677, 2333, 519, 3099, 540, 707, 2732, 267, 1118, 2386, 596, 616, 4189, 2898, 5613, 267, 5388, 267, 10808, 267, 2898, 9274, 267, 5452, 267, 543, 22053, 269, 3417, 891, 3536, 538, 707, 6980, 543, 16152, 563, 13563, 1426, 568, 1659, 1662, 609, 9268, 3536, 267, 14836, 543, 1164, 19339, 10683, 2472, 269, 1452, 1426, 3688, 666, 1118, 621, 2352, 585, 938, 9667, 1949, 547, 1599, 1134, 267, 543, 666, 1267, 538, 6757, 676, 335, 20094, 269, 3117, 11167, 9268, 543, 15568, 19719, 666, 2333, 6553, 543, 6175, 519, 4763, 540, 22435, 269, 667, 1392, 4328, 707, 2732, 666, 5351, 538, 12536, 543, 2087, 2949, 1072, 269, 1411, 666, 2087, 707, 8937, 1072, 676, 4946, 811, 5613, 543, 5388, 883, 707, 3232, 6980, 563, 289, 1168, 732, 540, 6456, 1395, 657, 30828, 689, 6456, 2959, 563, 2791, 666, 1118, 2242, 547, 707, 2732, 547, 7413, 6456, 2959, 540, 1395, 657, 30828, 267, 543, 2087, 707, 8937, 1072, 269, 10312, 593, 4189, 7899, 540, 25496, 5388, 267, 796, 15263, 539, 543, 796, 15263, 539, 5779, 543, 6775, 11656, 4829, 543, 5388, 269, 15742, 3536, 666, 3441, 519, 6225, 4551, 596, 723, 538, 707, 8937, 269, 1411, 666, 2087, 707, 8937, 1072, 676, 9319, 3536, 602, 9594, 2589, 899, 4006, 543, 15347, 269, 1411, 666, 849, 2015, 2921, 32714, 9360, 269, 11525, 8438, 9360, 666, 948, 707, 1560, 1628, 6225, 4551, 269, 13262, 666, 2014, 3441, 547, 519, 6225, 4551, 538, 519, 8937, 563, 10932, 814, 8810, 602, 513, 2732, 1164, 538, 15060, 268, 274, 3170, 7408, 543, 6775, 666, 948, 2569, 519, 1297, 540, 605, 13611, 4551, 538, 519, 8937, 269, 4469, 822, 517, 6950, 849, 4324, 8937, 1072, 269, 4469, 822, 517, 6950, 616, 10731, 538, 1426, 3688, 689, 519, 22648, 1920, 267, 10448, 2156, 2195, 267, 543, 824, 5388, 269, 1358, 616, 1898, 547, 1489, 2635, 8937, 4551, 269, 898, 568, 849, 1271, 547, 4235, 7899, 540, 1216, 267, 2057, 4568, 543, 3970, 707, 6981, 540, 9268, 3536, 563, 292, 520, 3536, 3638, 538, 25168, 1156, 11169, 454, 21691, 2988, 1156, 11169, 267, 513, 1106, 540, 15934, 666, 581, 1336, 538, 1082, 2371, 269, 1358, 2149, 519, 1560, 689, 2068, 543, 666, 2087, 519, 8937, 22435, 269, 2717, 2988, 1156, 11169, 616, 10731, 538, 29116, 11954, 5613, 543, 5388, 269, 589, 2732, 1164, 538, 5613, 543, 5388, 568, 1732, 585, 1346, 945, 616, 693, 2539, 1981, 540, 3384, 3676, 269, 8347, 547, 1331, 811, 2067, 3536, 538, 707, 2732, 267, 971, 607, 5388, 543, 5613, 267, 543, 3251, 2476, 689, 3536, 602, 723, 1044, 9268, 610, 2270, 3773, 6464, 563, 14503, 822, 517, 6950, 616, 519, 4102, 1362, 540, 25168, 1156, 11169, 269, 1358, 1331, 844, 2075, 564, 514, 267, 519, 1034, 1134, 8153, 16320, 30662, 514, 543, 31928, 335, 699, 339, 514, 269, 1855, 553, 540, 3109, 543, 3039, 616, 5140, 2959, 540, 25168, 1156, 11169, 267, 543, 2270, 513, 1164, 7274, 540, 891, 6878, 269, 15742, 540, 891, 7135, 616, 849, 4857, 547, 723, 4550, 2275, 22083, 2360, 269, 1403, 596, 2461, 3206, 827, 875, 547, 2327, 596, 1205, 2614, 25168, 1156, 11169, 538, 707, 2732, 267, 1934, 616, 513, 1906, 540, 873, 563, 7212, 715, 6347, 31312, 616, 4122, 11311, 547, 14867, 1928, 267, 789, 1223, 2014, 2800, 547, 519, 8937, 269, 769, 25691, 949, 2014, 11702, 267, 21385, 267, 543, 824, 2589, 267, 543, 789, 1223, 3565, 547, 5312, 2042, 609, 519, 8937, 799, 1331, 13451, 344, 8937, 6794, 30214, 267, 13451, 344, 8937, 6794, 267, 543, 15867, 18255, 779, 2068, 269, 1677, 2327, 8937, 1072, 543, 2057, 2427, 2942, 2360, 267, 621, 568, 5227, 547, 3251, 2312, 540, 715, 6347, 31312, 563, 7212, 11216, 616, 513, 3810, 2500, 2126, 585, 3978, 9190, 5563, 789, 616, 1419, 3765, 4310, 543, 936, 4310, 269, 634, 946, 540, 11216, 568, 1152, 11311, 676, 707, 4387, 543, 1058, 711, 581, 1031, 607, 513, 1582, 2389, 13015, 269, 634, 3339, 9190, 3666, 540, 519, 8937, 568, 22314, 676, 11216, 543, 1875, 3122, 18042, 4550, 514, 11987, 11955, 630, 301, 6347, 31312, 1040, 898, 568, 1271, 547, 2057, 715, 6347, 31312, 538, 1931, 547, 2087, 8937, 1072, 563, 7804, 1074, 7542, 618, 762, 6775, 454, 3080, 540, 519, 1655, 2081, 547, 2087, 707, 1072, 568, 547, 3548, 811, 6775, 269, 898, 779, 2653, 543, 972, 616, 7899, 540, 6775, 2959, 267, 1519, 5388, 267, 5613, 2898, 9274, 267, 2898, 9274, 543, 966, 2562, 288, 7091, 553, 269, 2353, 540, 891, 3536, 3565, 547, 2635, 8937, 18117, 2345, 269, 13966, 2515, 4543, 596, 1745, 2407, 518, 6775, 568, 1898, 585, 5329, 8501, 2157, 538, 2638, 267, 543, 849, 585, 16715, 1973, 2604, 563, 13146, 8441, 538, 22435, 1382, 723, 3366, 547, 519, 1646, 540, 513, 3099, 540, 22763, 543, 840, 25027, 5820, 602, 2087, 519, 1072, 540, 707, 8937, 269, 634, 4681, 540, 1382, 3136, 547, 1397, 602, 18829, 540, 840, 321, 7821, 666, 2087, 519, 4761, 1062, 543, 2333, 1973, 8501, 2157, 269, 2755, 519, 5730, 1909, 540, 891, 9360, 568, 2943, 547, 581, 3964, 1703, 616, 3875, 5383, 269, 2290, 1353, 4951, 602, 7542, 618, 762, 11103, 1223, 2087, 519, 1852, 540, 29944, 267, 6466, 1866, 8959, 547, 1397, 1022, 1198, 563, 12867, 693, 519, 2160, 540, 1715, 6792, 4362, 602, 2834, 3635, 568, 6225, 585, 519, 7181, 779, 1072, 269, 11644, 7512, 519, 2208, 540, 2635, 4551, 799, 568, 2629, 585, 938, 2949, 8171, 269, 901, 666, 1267, 538, 1732, 7099, 543, 2790, 8171, 269, 898, 849, 4249, 513, 1713, 1909, 538, 5778, 2102, 8412, 267, 799, 5849, 519, 1646, 540, 1007, 8849, 4296, 538, 519, 2634, 269, 1411, 1058, 3442, 513, 1826, 540, 3635, 602, 786, 2087, 8937, 1072, 563, 763, 2360, 540, 3635, 593, 519, 8937, 22435, 941, 4362, 538, 513, 1353, 799, 729, 5342, 593, 1079, 5892, 29680, 1004, 543, 2021, 585, 3670, 3275, 269, 3487, 21871, 267, 1312, 2516, 4951, 9283, 538, 8937, 4551, 5888, 267, 607, 1134, 607, 2362, 2157, 540, 31571, 602, 616, 4143, 547, 519, 12214, 1184, 269, 5015, 267, 1312, 1164, 27233, 20659, 5751, 543, 17319, 8868, 4881, 8507, 538, 606, 2333, 538, 519, 2179, 540, 4551, 538, 519, 8937, 269, 4014, 891, 2164, 3100, 9621, 267, 789, 1590, 581, 9672, 676, 2417, 2090, 269, 0, 4462, 25677, 610, 10363, 2932, 538, 1870, 543, 1857, 5238, 666, 723, 29070, 4539, 585, 519, 1857, 1719, 267, 855, 849, 585, 14540, 2933, 269, 6056, 540, 519, 2013, 540, 18514, 15258, 267, 519, 3818, 5991, 1049, 2883, 2754, 2212, 32483, 1229, 538, 5125, 602, 25540, 538, 476, 1708, 271, 1310, 24843, 272, 269, 280, 5479, 538, 922, 3666, 6656, 1223, 711, 581, 20039, 585, 563, 19931, 4835, 27646, 321, 27172, 1949, 666, 948, 14540, 547, 2057, 25680, 4539, 267, 971, 607, 28896, 543, 2825, 3441, 267, 543, 741, 29854, 585, 1870, 543, 519, 1857, 1625, 572, 269, 11569, 267, 27646, 321, 27172, 568, 835, 540, 519, 1034, 2500, 2081, 547, 10625, 13313, 267, 12611, 267, 25314, 534, 1771, 543, 824, 4636, 4777, 532, 269, 5047, 267, 14540, 616, 1419, 1655, 5116, 547, 4308, 609, 4636, 4777, 532, 9648, 1369, 741, 1121, 527, 563, 11854, 752, 909, 543, 6432, 909, 609, 2500, 18378, 1733, 16824, 321, 27172, 7010, 630, 296, 16703, 994, 9827, 1634, 607, 968, 14588, 752, 909, 892, 610, 4835, 8989, 1949, 267, 594, 16703, 5000, 5520, 543, 8639, 547, 6318, 4145, 24323, 827, 1761, 13817, 2265, 269, 1358, 1683, 2922, 9055, 547, 4309, 5359, 267, 2149, 1346, 8989, 4145, 689, 1427, 531, 2747, 543, 3391, 606, 13539, 779, 3210, 269, 898, 568, 1271, 602, 14540, 685, 3401, 20741, 4835, 5054, 20009 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 600, 784, 6105, 5713, 519, 1004, 269, 1284, 1287, 979, 593, 547, 2307, 1018, 2306, 606, 324, 3005, 11180, 269, 634, 2596, 2856, 1934, 568, 547, 10646, 24339, 520, 823, 27928, 689, 1875, 24683, 7095, 12836, 7868, 1964, 540, 519, 3184, 13290, 547, 2708, 12836, 538, 3127, 538, 519, 1769, 540, 10472, 13452, 22496, 269, 1284, 1491, 513, 1413, 693, 1142, 3942, 540, 12836, 267, 689, 519, 5373, 1993, 6302, 540, 1114, 14218, 4293, 547, 519, 17083, 540, 2164, 269, 589, 974, 778, 3942, 649, 2307, 1018, 1058, 4755, 543, 1018, 1281, 4755, 538, 12836, 11053, 578, 1841, 519, 1439, 540, 519, 3184, 267, 649, 2490, 547, 606, 4879, 540, 765, 11004, 27928, 538, 3127, 616, 1863, 543, 4023, 269, 3371, 649, 849, 4983, 519, 1909, 540, 519, 292, 3005, 8189, 538, 4180, 1863, 543, 4023, 12836, 269, 6321, 291, 15444, 8016, 6938, 12087, 623, 25459, 23154, 1001, 276, 268, 1626, 263, 866, 270, 4905, 270, 1001, 276, 994, 275, 269, 272, 654, 14176, 661, 28421, 16739, 7790, 288, 521, 12273, 18479, 292, 548, 764, 512, 542, 538, 295, 513, 678, 787, 344, 513, 562, 513, 2710, 1034, 3401, 995, 16344, 741, 9550, 335, 668, 2478, 286, 763, 942, 568, 1310, 28813, 269, 1323, 2503, 656, 322, 992, 323, 9361, 585, 519, 2250, 2947, 3108, 538, 513, 577, 578, 330, 540, 519, 4884, 568, 7996, 585, 922, 1291, 15300, 2097, 269, 634, 12438, 619, 26924, 543, 15260, 675, 519, 15624, 602, 646, 1131, 581, 1934, 1022, 332, 30291, 269, 634, 15624, 6763, 909, 8164, 320, 8429, 6174, 2501, 602, 1259, 269, 898, 541, 11817, 13922, 602, 646, 814, 2097, 7868, 6205, 568, 6004, 269, 8061, 328, 700, 531, 267, 8783, 540, 1492, 670, 776, 3570, 5842, 724, 6702, 6341, 16951, 267, 945, 729, 1729, 2232, 513, 5870, 538, 10127, 2522, 593, 13628, 3781, 269, 634, 476, 10602, 4458, 6040, 6205, 267, 568, 513, 854, 11112, 812, 891, 2395, 269, 3571, 1554, 6238, 520, 476, 279, 513, 6230, 269, 543, 7475, 1310, 476, 1556, 533, 6230, 269, 646, 17495, 2907, 9619, 8370, 9550, 1889, 564, 902, 2094, 6640, 1044, 7683, 5466, 1857, 11401, 585, 1492, 2250, 476, 2537, 3275, 543, 8600, 585, 713, 324, 3005, 20136, 11356, 1867, 568, 827, 519, 13750, 10198, 9550, 538, 670, 776, 534, 664, 476, 2735, 278, 269, 634, 3557, 1185, 1044, 12199, 676, 320, 6837, 5428, 3366, 6608, 1550, 476, 2735, 273, 269, 932, 7596, 327, 776, 8061, 328, 700, 531, 267, 1287, 534, 11685, 6205, 267, 3366, 513, 3350, 21406, 2048, 301, 344, 11535, 962, 644, 327, 685, 630, 1805, 745, 24327, 585, 9617, 823, 264, 543, 4646, 513, 1007, 5428, 267, 700, 758, 291, 531, 269, 3571, 5428, 8678, 824, 11685, 4820, 625, 547, 1106, 513, 4395, 1996, 519, 17812, 816, 538, 519, 12836, 269, 769, 26899, 3005, 5859, 267, 8061, 328, 700, 531, 1767, 602, 604, 1010, 5428, 4465, 519, 12836, 267, 1010, 290, 4047, 290, 298, 24168, 14641, 4629, 16165, 8577, 326, 17922, 1131, 3649, 633, 519, 12029, 1055, 1301, 619, 543, 1507, 1870, 5443, 269, 22031, 668, 2213, 602, 713, 1131, 581, 519, 1101, 9146, 540, 1010, 2229, 7868, 1004, 941, 29043, 609, 519, 1410, 12371, 2229, 269, 1358, 941, 849, 3430, 26167, 676, 8061, 328, 700, 531, 779, 9153, 269, 1924, 267, 15290, 12836, 941, 4371, 267, 789, 20366, 1478, 342, 3559, 2719, 569, 538, 12797, 540, 700, 758, 18243, 663, 922, 16167, 269, 700, 758, 18243, 543, 922, 4820, 2996, 4465, 476, 10602, 856, 540, 476, 3445, 16295, 703, 515, 3557, 13909, 269, 700, 758, 18243, 4805, 342, 517, 476, 2568, 16295, 543, 3976, 1185, 513, 1579, 1301, 1994, 640, 538, 519, 13909, 269, 634, 17812, 816, 1223, 3094, 1152, 476, 276, 16295, 269, 5629, 519, 9550, 2164, 941, 2335, 6407, 267, 519, 9361, 12751, 14737, 3563, 759, 11220, 269, 634, 9241, 11221, 300, 20047, 540, 22694, 894, 13909, 263, 7876, 2026, 264, 540, 700, 758, 18243, 8359, 8061, 328, 700, 531, 4230, 515, 597, 6205, 269, 634, 17135, 14376, 28319, 328, 700, 531, 547, 581, 519, 1007, 12751, 14737, 3563, 269, 8422, 2395, 1310, 26899, 3005, 2164, 941, 10294, 267, 646, 13069, 877, 519, 12751, 10579, 269, 1306, 4166, 553, 646, 2968, 519, 12751, 10579, 267, 1010, 30025, 9783, 513, 6554, 24576, 3649, 1516, 519, 14222, 12029, 1993, 1507, 6705, 267, 4237, 584, 718, 629, 537, 516, 3464, 543, 1507, 1870, 5443, 13034, 529, 5428, 12199, 519, 3557, 585, 2185, 344, 8986, 269, 634, 1985, 12836, 941, 4371, 514, 476, 1960, 272, 269, 1809, 713, 942, 1010, 5428, 1705, 2254, 3094, 2442, 1489, 269, 634, 17812, 816, 4465, 519, 9550, 543, 11526, 519, 2229, 12282, 698, 1372, 788, 543, 18937, 2181, 564, 1224, 713, 1650, 543, 16668, 519, 1739, 8753, 269, 2052, 596, 2161, 799, 540, 28205, 616, 1318, 610, 4636, 630, 528, 952, 519, 1344, 2016, 538, 519, 1650, 568, 16283, 547, 1289, 873, 1318, 610, 342, 3994, 2567, 5082, 687, 666, 1291, 547, 2242, 538, 519, 3609, 540, 519, 2229, 269, 634, 17135, 14376, 8061, 328, 700, 531, 547, 1831, 519, 12751, 10579, 1317, 646, 729, 24330, 609, 1010, 14588, 16696, 269, 4658, 616, 29043, 609, 1169, 15194, 5428, 543, 8917, 1996, 621, 538, 519, 1985, 9550, 269, 634, 5428, 602, 17993, 519, 9550, 3029, 519, 2229, 269, 901, 9550, 3366, 547, 513, 2603, 540, 2804, 1646, 538, 670, 776, 3570, 269, 634, 6837, 12751, 10579, 991, 711, 723, 759, 11220, 1310, 1010, 5428, 4503, 12836, 9950, 22268, 3036, 3201, 623, 25459, 23154, 6872, 273, 27888, 268, 1626, 263, 866, 270, 4905, 270, 1001, 276, 994, 288, 595, 570, 594, 966, 594, 570, 962, 2710, 596, 917, 950, 519, 2063, 13909, 9550, 13195, 4371, 538, 707, 1533, 286, 6904, 824, 12836, 17647, 3144, 1747, 538, 707, 1327, 1275, 538, 519, 2063, 2947, 344, 8986, 286, 3503, 1524, 519, 1377, 540, 12836, 630, 13233, 267, 2026, 12273, 267, 7754, 577, 599, 520, 267, 3092, 13776, 950, 941, 789, 4371, 663, 519, 2012, 543, 25084, 630, 6573, 267, 17090, 267, 3092, 4700, 540, 1492, 7606, 945, 3893, 11221, 689, 707, 1858, 15030, 554, 586, 798, 649, 548, 764, 512, 687, 286, 928, 539, 323, 1605, 933, 324, 683, 324, 16978, 687, 1491, 1747, 5781, 538, 1022, 12047, 7100, 269, 1284, 7074, 538, 3848, 3080, 602, 972, 616, 811, 982, 835, 327, 4348, 2477, 538, 519, 1158, 538, 6518, 12836, 1491, 1747, 547, 3442, 15161, 779, 13222, 269, 1284, 620, 338, 648, 611, 602, 12836, 616, 4371, 538, 1082, 12248, 1845, 602, 616, 711, 11180, 269, 3719, 1946, 798, 649, 991, 12836, 286, 4131, 721, 2119, 547, 4952, 513, 9111, 23719, 12836, 269, 589, 4341, 540, 519, 15161, 568, 2009, 1510, 1022, 19491, 687, 952, 782, 519, 1004, 666, 1694, 339, 6320, 4948, 543, 1491, 782, 519, 20657, 2888, 269, 1809, 607, 649, 723, 2907, 16308, 538, 3848, 5565, 267, 713, 568, 711, 335, 6372, 538, 1022, 1804, 2146, 12991, 528, 568, 621, 2009, 585, 3025, 547, 17647, 519, 942, 543, 1702, 9103, 820, 3664, 593, 782, 6927, 269, 11997, 538, 1034, 1629, 31097, 15161, 4341, 998, 741, 10517, 6974, 2510, 269, 3674, 972, 513, 11180, 1259, 540, 572, 22162, 13222, 1510, 19491, 687, 286, 2913, 721, 1589, 540, 513, 1747, 3602, 13222, 616, 5697, 517, 519, 4493, 540, 2085, 543, 1995, 269, 7775, 513, 1747, 1141, 789, 616, 6074, 517, 519, 4493, 540, 2069, 610, 32474, 269, 1703, 1223, 581, 1474, 539, 858, 22187, 538, 14045, 593, 945, 568, 811, 23024, 27624, 610, 917, 1194, 326, 762, 269, 1809, 1577, 639, 2161, 519, 1004, 666, 8207, 519, 338, 539, 858, 2159, 625, 269, 22682, 267, 971, 513, 5116, 3996, 711, 2154, 12836, 269, 6812, 3719, 666, 649, 1289, 713, 1747, 740, 655, 7100, 286, 1215, 798, 649, 1265, 856, 952, 1492, 1004, 899, 741, 13222, 528, 711, 286, 1215, 798, 649, 2327, 602, 891, 10517, 6974, 2510, 4341, 607, 829, 519, 342, 8460, 540, 519, 1004, 286, 1215, 547, 2306, 675, 602, 1346, 945, 519, 1004, 1810, 1406, 3697, 798, 711, 2611, 741, 10517, 6974, 2510, 286, 901, 3340, 993, 324, 2559, 1143, 676, 799, 1004, 666, 577, 5366, 741, 13222, 693, 10585, 11996, 543, 1689, 873, 604, 789, 6999, 547, 798, 865, 269, 901, 1889, 2559, 1143, 568, 1572, 9550, 269, 11997, 267, 12836, 616, 2808, 24207, 538, 938, 2053, 585, 1022, 10517, 6974, 894, 9111, 16638, 606, 9550, 519, 17037, 1118, 28236, 5079, 281, 1358, 666, 3442, 945, 786, 544, 752, 601, 9155, 585, 873, 269, 1358, 666, 3442, 945, 786, 1106, 519, 326, 17922, 543, 1491, 14734, 867, 1815, 2888, 269, 1358, 666, 3442, 519, 5428, 4171, 335, 4301, 625, 786, 3391, 519, 2229, 663, 1876, 1818, 269, 2171, 723, 2938, 1946, 12047, 31097, 991, 1729, 723, 12836, 269, 3719, 1946, 798, 17710, 514, 1875, 24683, 7095, 12248, 1845, 991, 547, 3835, 12836, 286, 525, 606, 1605, 310, 554, 513, 3430, 1118, 548, 764, 512, 542, 332, 1389, 12047, 4531, 12047, 665, 571, 320, 512, 545, 286, 16978, 687, 666, 581, 4371, 538, 1082, 2081, 269, 5472, 11180, 2477, 3180, 19491, 687, 269, 1809, 1034, 1875, 24683, 7095, 12248, 1845, 849, 3180, 930, 2186, 540, 19491, 687, 269, 1215, 798, 649, 10646, 12047, 7095, 12836, 689, 1022, 522, 11004, 3005, 286, 1284, 723, 5941, 713, 23896, 13713, 538, 3848, 5565, 269, 11205, 4593, 1380, 539, 1082, 1806, 540, 12248, 1845, 1141, 12836, 616, 4371, 8117, 789, 666, 1406, 2731, 581, 1572, 12047, 7095, 12836, 269, 2913, 721, 11291, 6343, 649, 19927, 972, 543, 1376, 609, 320, 2241, 1592, 540, 519, 5934, 1718, 1431, 540, 513, 11180, 9550, 281, 3689, 267, 3025, 1058, 581, 2111, 547, 577, 5366, 269, 901, 1797, 602, 1169, 2158, 327, 746, 723, 835, 8917, 543, 1169, 341, 1774, 1058, 723, 3160, 1871, 6185, 15444, 8016, 6938, 12087, 623, 25459, 23154, 1001, 276, 268, 1626, 263, 866, 270, 4905, 270, 1001, 276, 994, 13553, 267, 11004, 1058, 14850, 15036, 547, 3442, 689, 269, 3487, 625, 663, 10457, 1058, 581, 1863, 547, 4186, 652, 12836, 543, 1058, 3091, 727, 1483, 3903, 547, 519, 17037, 269, 12059, 267, 519, 3903, 1058, 581, 6035, 520, 2834, 11996, 269, 5082, 687, 1590, 2041, 4371, 5781, 1310, 1169, 1906, 344, 8986, 269, 19549, 267, 519, 11134, 9053, 676, 1492, 1004, 1058, 1205, 11221, 269, 25004, 267, 19491, 687, 1058, 581, 17238, 539, 538, 513, 1863, 543, 4023, 2006, 1676, 1141, 1004, 666, 3442, 553, 789, 2731, 6999, 269, 4322, 1522, 1413, 899, 1360, 2241, 663, 2653, 2175, 269, 1809, 972, 616, 28236, 2477, 1141, 891, 616, 711, 995, 325, 2683, 269, 769, 713, 3184, 649, 786, 4019, 28205, 2175, 547, 519, 12836, 4371, 514, 938, 1378, 2197, 547, 1294, 952, 649, 666, 322, 718, 891, 11180, 12836, 15660, 521, 621, 1434, 512, 1729, 334, 688, 6409, 341, 552, 2797, 4818, 564, 819, 286, 25105, 256, 1924, 267, 12836, 732, 899, 981, 1873, 1877, 14761, 663, 6105, 917, 952, 16269, 723, 5293, 528, 8959, 269, 1809, 945, 732, 519, 981, 29794, 286, 16978, 687, 616, 3976, 782, 827, 2797, 4818, 564, 819, 269, 901, 6735, 3217, 341, 13895, 3029, 269, 634, 1034, 6654, 1106, 529, 519, 6735, 1851, 2797, 4820, 625, 269, 2311, 519, 14218, 1890, 1377, 267, 621, 339, 1389, 519, 1106, 540, 6735, 1851, 13367, 531, 10457, 269, 1403, 972, 568, 562, 24899, 7065, 819, 267, 12836, 786, 1831, 4812, 1652, 269, 3719, 568, 621, 1434, 547, 723, 2797, 4818, 564, 819, 286, 22682, 267, 606, 21146, 4818, 564, 819, 814, 1082, 632, 1067, 1080, 269, 898, 16579, 525, 513, 2631, 540, 771, 29774, 543, 8072, 2399, 1308, 1143, 685, 538, 1169, 1327, 1275, 269, 1411, 30524, 723, 4862, 540, 1004, 1260, 680, 8724, 540, 2048, 4820, 344, 1790, 29176, 685, 538, 707, 32643, 1275, 269, 7756, 2797, 6105, 543, 548, 19470, 1419, 1377, 31482, 1996, 821, 1776, 269, 3487, 625, 543, 10457, 21865, 946, 18660, 15361, 547, 3094, 12836, 2529, 727, 1004, 2161, 602, 713, 2604, 1729, 3094, 21146, 24515, 1281, 711, 2636, 839, 1043, 1279, 3856, 4507, 547, 581, 845, 4327, 269, 2368, 1434, 1004, 945, 292, 22268, 3036, 3201, 623, 25459, 23154, 16673, 6999, 547, 4196, 519, 2197, 798, 711, 10938, 713, 26750, 269, 1358, 798, 711, 899, 519, 728, 320, 540, 1373, 1951, 13949, 883, 14432, 4818, 564, 819, 269, 5978, 9139, 15670, 941, 10277, 540, 891, 2042, 269, 8616, 789, 641, 1540, 585, 1863, 6735, 13546, 27928, 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 ]
[ 281, 5291, 2517, 339, 2784, 619, 2593, 22230, 17805, 566, 22077, 292, 3633, 321, 330, 5091, 665, 338, 270, 1001, 272, 270, 6187, 270, 298, 15595, 559, 11258, 692, 1038, 2433, 704, 1675, 281, 10410, 5809, 519, 1297, 540, 11270, 338, 1031, 585, 552, 309, 310, 7246, 9819, 454, 1038, 29185, 1038, 1129, 815, 25754, 513, 281, 630, 320, 3436, 476, 271, 264, 910, 630, 320, 2999, 476, 271, 994, 1038, 678, 815, 19315, 331, 322, 14277, 29148, 257, 4940, 18528, 14061, 1952, 569, 4433, 793, 264, 2608, 19315, 331, 322, 14277, 29148, 31116, 1038, 524, 335, 815, 19073, 2529, 7685, 16868, 269, 1168, 332, 4433, 3966, 284, 704, 1675, 267, 4188, 284, 611, 3286, 1040, 11743, 15405, 1038, 512, 322, 815, 804, 338, 269, 4932, 288, 263, 2129, 331, 322, 267, 1974, 2020, 1038, 2132, 19073, 2529, 7685, 263, 1911, 2608, 630, 31983, 1315, 512, 322, 1070, 2012, 6889, 24001, 1974, 623, 313, 302, 2668, 8971, 263, 704, 1675, 11723, 825, 7711, 5035, 24709, 454, 825, 1219, 31246, 296, 263, 743, 338, 267, 19315, 331, 29764, 281, 4578, 20988, 267, 1974, 281, 703, 815, 476, 1724, 267, 4188, 281, 536, 944, 815, 6936, 264, 9847, 10022, 912, 1038, 5727, 292, 19520, 781, 10414, 12039, 568, 606, 13525, 602, 3096, 3902, 543, 4320, 547, 2708, 519, 1379, 454, 1363, 3297, 513, 1847, 610, 2697, 2009, 7432, 2798, 27969, 692, 1038, 1948, 4179, 2517, 339, 2784, 902, 574, 2593, 270, 24108, 270, 601, 10249, 268, 4403, 268, 8161, 13045, 1038, 535, 328, 815, 19073, 2529, 7685, 263, 2129, 331, 29764, 14277, 29148, 257, 4940, 18528, 3890, 2608, 19315, 331, 29764, 14277, 14179, 2541, 257, 7481, 1038, 2132, 19073, 2529, 7685, 18692, 2018, 535, 328, 269, 1168, 332, 263, 793, 648, 318, 3534, 25716, 267, 12732, 284, 704, 1675, 267, 4188, 284, 611, 3286, 1040, 11743, 263, 13211, 2018, 2012, 6889, 346, 271, 348, 1974, 10414, 12039, 2668, 8971, 263, 704, 1675, 13211, 1038, 25589, 825, 7711, 5035, 24709, 454, 825, 1219, 18435, 296, 263, 743, 338, 267, 19315, 331, 29764, 281, 4578, 20988, 267, 4188, 281, 536, 944, 815, 6936, 264, 9847, 10022, 912, 1038, 8173, 1038, 595, 17026, 11494, 10414, 12039, 563, 1038, 22685, 1540, 689, 476, 26744, 781, 10414, 12039, 563, 1038, 29185, 1038, 535, 328, 272, 815, 19073, 2529, 7685, 263, 2129, 331, 29764, 14277, 14179, 2541, 19312, 2608, 19315, 331, 29764, 14277, 29148, 257, 4940, 18528, 15405, 1038, 524, 25206, 815, 19073, 2529, 7685, 18692, 2018, 535, 328, 272, 269, 1168, 332, 263, 793, 648, 318, 3534, 25716, 267, 1295, 30648, 1675, 338, 284, 280, 267, 12732, 284, 1015, 267, 4188, 284, 611, 3286, 1040, 11743, 263, 13211, 2018, 2012, 6889, 20003, 296, 20350, 1038, 25589, 1038, 2132, 524, 25206, 6983, 4548, 636, 10797, 825, 7711, 5035, 24709, 454, 825, 1219, 661, 17668, 303, 263, 743, 338, 267, 19315, 331, 322, 281, 4578, 20988, 264, 9847, 4578, 20988, 912, 1038, 5727, 289, 1638, 1379, 543, 7703, 1379, 676, 3220, 269, 12138, 26744, 1397, 1141, 2221, 779, 1164, 543, 1970, 9114, 3448, 547, 519, 513, 476, 1724, 6377, 661, 7246, 20701, 1038, 13032, 7272, 1077, 815, 19073, 2529, 7685, 263, 2129, 331, 322, 14277, 14683, 19312, 910, 804, 338, 269, 4932, 288, 263, 2129, 331, 322, 267, 476, 1724, 1070, 2012, 6889, 289, 1638, 23528, 1038, 7703, 7272, 1077, 815, 19073, 2529, 7685, 263, 2129, 331, 322, 14277, 869, 19312, 910, 804, 338, 269, 4932, 288, 263, 2129, 331, 322, 267, 476, 1724, 1070, 2012, 6889, 289, 792, 1701, 2020, 1038, 2132, 19073, 26769, 13906, 8443, 321, 1638, 7272, 1077, 267, 7703, 7272, 1077, 3910, 7852, 284, 272, 2020, 825, 7711, 5035, 24709, 454, 825, 1219, 15444, 309, 263, 743, 338, 267, 19315, 331, 29764, 281, 10022, 267, 1974, 281, 703, 815, 476, 1691, 264, 9847, 10022, 912, 1038, 5727, 292, 848, 540, 11873, 630, 4932, 309, 264, 568, 513, 4320, 2861, 14251, 1807, 602, 11385, 919, 1657, 543, 2630, 519, 4642, 1899, 563, 1038, 1306, 922, 2012, 10522, 267, 621, 568, 2966, 547, 2268, 519, 1412, 324, 848, 262, 540, 3902, 3350, 563, 1038, 5777, 616, 14027, 609, 3448, 8897, 950, 519, 14251, 1807, 568, 538, 2318, 8513, 563, 1038, 17957, 267, 5777, 616, 19394, 609, 3448, 8897, 950, 519, 14251, 1807, 568, 538, 2942, 8513, 27969, 692, 1038, 3845, 815, 19073, 2529, 7685, 18692, 2018, 16733, 2129, 331, 29764, 14277, 14683, 19312, 1341, 19315, 331, 29764, 14277, 869, 257, 8079, 1315, 476, 273, 994, 2018, 910, 630, 2129, 331, 29764, 14277, 14683, 257, 4940, 18528, 3890, 910, 19315, 331, 29764, 14277, 869, 257, 4940, 18528, 28829, 1315, 476, 273, 454, 1038, 12467, 1038, 4216, 318, 7806, 1470, 815, 19073, 2529, 7685, 18692, 2018, 630, 2129, 331, 29764, 14277, 14179, 2541, 19312, 1315, 476, 1911, 1822, 271, 264, 1315, 630, 2129, 331, 29764, 14277, 14683, 19312, 910, 19315, 331, 29764, 14277, 869, 257, 7481, 1038, 25589, 1038, 9041, 655, 341, 815, 19073, 2529, 7685, 5560, 2700, 1315, 4216, 318, 7806, 1470, 2020, 1038, 2132, 19073, 2529, 7685, 18692, 2018, 9041, 655, 341, 269, 13764, 263, 30720, 284, 704, 1675, 1040, 11743, 19572, 2012, 6889, 346, 271, 348, 1974, 15444, 309, 1701, 269, 8971, 263, 704, 1675, 994, 1038, 25589, 825, 7711, 5035, 24709, 454, 825, 1219, 595, 5746, 263, 743, 338, 267, 19315, 331, 322, 281, 4578, 20988, 267, 1974, 281, 703, 815, 476, 736, 267, 3586, 281, 10581, 815, 476, 271, 269, 27888, 264, 9847, 10022, 912, 1038, 5727, 290, 7951, 640, 19305, 12039, 630, 290, 5746, 264, 568, 513, 11684, 13525, 602, 666, 581, 1031, 547, 2697, 513, 1007, 7678, 610, 24633, 540, 3665, 2175, 563, 1038, 595, 5746, 3800, 519, 1699, 3902, 1377, 3448, 547, 606, 3328, 3902, 1377, 936, 513, 2016, 1974, 540, 942, 563, 1038, 634, 595, 5746, 3335, 14251, 919, 1657, 543, 2630, 513, 4642, 1899, 269, 16453, 14251, 725, 786, 2049, 1369, 519, 2039, 540, 1341, 1911, 543, 6567, 1911, 563, 1038, 3367, 902, 1657, 1341, 1911, 17538, 606, 936, 321, 4454, 2783, 267, 1247, 13220, 2630, 6567, 1911, 17538, 606, 16136, 1245, 2783, 563, 1038, 1306, 609, 824, 936, 321, 4454, 270, 13569, 1245, 10832, 267, 713, 1797, 602, 972, 568, 513, 1804, 5506, 602, 519, 3902, 786, 2953, 547, 811, 11347, 2157, 780, 1038, 2707, 281, 4179, 2517, 18450, 577, 11301, 2593, 4882, 1041, 7933, 18602, 21703, 286, 573, 284, 24577, 5334, 1041, 281, 23855, 673, 318, 785, 545, 2209, 281, 5570, 617, 640, 15220, 14128, 16229, 318, 764, 328, 692, 1038, 2433, 12407, 19073, 6185, 1092, 20988, 19315, 331, 322, 281, 1412, 13449, 267, 1164, 267, 1970, 267, 2673, 262, 21795, 4578, 20988, 454, 1038, 2433, 704, 1675, 281, 703, 910, 1297, 540, 5712, 547, 1491, 883, 7156, 454, 1038, 2433, 26476, 10581, 281, 519, 3586, 693, 1547, 27888, 547, 2327, 602, 5111, 476, 3583, 547, 476, 3199, 2600, 540, 595, 5746, 2418, 1131, 2887, 1063, 910, 1911, 543, 1341, 1911, 563, 1038, 2433, 8873, 19073, 2529, 7685, 281, 1267, 568, 21795, 2529, 7685, 454, 1038, 29185, 1038, 512, 335, 815, 804, 338, 269, 9143, 263, 2129, 331, 322, 994, 1038, 512, 335, 318, 13764, 815, 512, 335, 269, 13764, 263, 30720, 284, 704, 1675, 267, 1295, 30648, 1675, 338, 284, 271, 994, 1038, 2132, 19073, 2529, 7685, 18692, 2018, 630, 339, 335, 910, 512, 335, 318, 13764, 32557, 28829, 1315, 630, 6247, 656, 2608, 512, 335, 318, 13764, 14714, 323, 3890, 13211, 2018, 2012, 6889, 346, 271, 348, 1974, 595, 5746, 2668, 8971, 263, 704, 1675, 13211, 1038, 25589, 825, 7711, 5035, 24709, 454, 825, 1219, 2910, 13048, 263, 743, 338, 267, 19315, 331, 322, 281, 4578, 20988, 267, 4188, 281, 536, 944, 815, 6936, 264, 9847, 10022, 912, 1038, 5727, 763, 10515, 335, 1442, 4354, 557, 568, 513, 11610, 13525, 267, 621, 6786, 9140, 3255, 950, 519, 13525, 6410, 689, 2942, 8513, 547, 2318, 8513, 27969, 692, 1038, 887, 322, 272, 815, 804, 338, 269, 4629, 290, 263, 2129, 331, 322, 267, 476, 1691, 994, 1038, 887, 322, 273, 815, 804, 338, 269, 4629, 290, 263, 2129, 331, 322, 267, 476, 1556, 2020, 1038, 2132, 19073, 2529, 7685, 18692, 2018, 630, 10635, 272, 1341, 887, 322, 273, 1040, 1168, 332, 4433, 3966, 284, 1015, 267, 1295, 30648, 1675, 338, 284, 280, 267, 4188, 284, 611, 3286, 1040, 11743, 263, 13211, 2018, 2012, 6889, 290, 31463, 1442, 4354, 557, 20350, 1038, 25589, 825, 7711, 5035, 24709, 454, 825, 1219, 32577, 303, 263, 743, 338, 267, 19315, 331, 322, 281, 4578, 20988, 267, 1974, 281, 703, 815, 476, 2412, 267, 4188, 281, 536, 944, 815, 6936, 264, 9847, 4578, 20988, 912, 1038, 5727, 289, 3008, 303, 13525, 5713, 547, 2697, 9140, 543, 9513, 2604, 27969, 692, 1038, 838, 815, 19315, 331, 322, 14277, 14683, 19312, 910, 19315, 331, 322, 14277, 29148, 31116, 1038, 536, 335, 815, 19315, 331, 322, 14277, 29148, 19312, 910, 19315, 331, 322, 14277, 869, 31116, 1038, 838, 822, 326, 815, 838, 269, 1168, 332, 4433, 3966, 284, 704, 1675, 267, 4188, 284, 611, 3286, 1040, 11743, 4590, 1038, 536, 335, 822, 326, 815, 536, 335, 269, 1168, 332, 4433, 3966, 284, 704, 1675, 267, 4188, 284, 611, 3286, 1040, 11743, 10797, 1038, 562, 321, 335, 815, 536, 335, 1315, 536, 335, 822, 326, 454, 1038, 562, 4944, 815, 838, 1315, 838, 822, 326, 692, 1038, 642, 1173, 815, 19315, 331, 322, 14277, 14179, 2541, 257, 4940, 1168, 332, 4433, 3966, 284, 704, 1675, 267, 4188, 284, 611, 3286, 1040, 11743, 4590, 1038, 562, 341, 815, 19315, 331, 322, 14277, 14179, 2541, 19312, 1315, 642, 1173, 692, 1038, 562, 8578, 3863, 815, 19073, 2529, 7685, 3799, 321, 335, 2608, 562, 341, 267, 2012, 6889, 24246, 23528, 1038, 562, 338, 325, 3863, 815, 19073, 2529, 7685, 263, 985, 335, 2608, 562, 341, 267, 2012, 6889, 306, 749, 1701, 2020, 1038, 2132, 19073, 26769, 13906, 8443, 333, 8578, 3863, 267, 562, 338, 325, 3863, 3910, 7852, 284, 272, 2020, 825, 7711, 5035, 24709, 454, 825, 1219, 32577, 14149, 263, 743, 338, 267, 19315, 331, 322, 281, 4578, 20988, 267, 1974, 281, 703, 815, 476, 2412, 267, 4188, 281, 536, 944, 815, 6936, 264, 9847, 4578, 20988, 912, 1038, 8173, 1038, 16453, 1242, 32577, 303, 13525, 454, 1038, 29185, 1038, 838, 815, 19315, 331, 322, 14277, 14683, 19312, 910, 19315, 331, 322, 14277, 29148, 31116, 1038, 536, 335, 815, 19315, 331, 322, 14277, 29148, 19312, 910, 19315, 331, 322, 14277, 869, 31116, 1038, 838, 822, 326, 815, 838, 269, 1168, 332, 4433, 3966, 284, 704, 1675, 267, 4188, 284, 611, 3286, 1040, 11743, 4590, 1038, 536, 335, 822, 326, 815, 536, 335, 269, 1168, 332, 4433, 3966, 284, 704, 1675, 267, 4188, 284, 611, 3286, 1040, 11743, 10797, 1038, 562, 321, 335, 815, 536, 335, 1315, 536, 335, 822, 326, 454, 1038, 562, 4944, 815, 838, 1315, 838, 822, 326, 692, 1038, 642, 1173, 815, 19315, 331, 322, 14277, 14179, 2541, 257, 4940, 1168, 332, 4433, 3966, 284, 704, 1675, 267, 4188, 284, 611, 3286, 1040, 11743, 4590, 1038, 562, 341, 815, 19315, 331, 322, 14277, 14179, 2541, 19312, 1315, 642, 1173, 692, 1038, 562, 8578, 815, 19073, 2529, 7685, 9230, 333, 321, 335, 2608, 562, 341, 1040, 1168, 332, 4433, 3966, 284, 736, 267, 4188, 284, 611, 3286, 1040, 11743, 19572, 2012, 6889, 24246, 23528, 1038, 562, 338, 325, 815, 19073, 2529, 7685, 9230, 985, 335, 2608, 562, 341, 1040, 1168, 332, 4433, 3966, 284, 736, 267, 4188, 284, 611, 3286, 1040, 11743, 19572, 2012, 6889, 306, 749, 1701, 2020, 1038, 2132, 19073, 26769, 13906, 8443, 333, 8578, 267, 562, 338, 325, 3910, 7852, 284, 272, 2020, 825, 7711, 5035, 24709, 454, 825, 1219, 18328, 302, 263, 743, 338, 267, 19315, 331, 322, 281, 4578, 20988, 267, 1974, 281, 703, 815, 476, 280, 264, 9847, 4578, 20988, 912, 1038, 8173, 1038, 25941, 324, 28850, 636, 744, 12965, 1807, 630, 13967, 302, 264, 910, 2930, 11610, 13525, 11827, 676, 519, 2930, 25566, 570, 2313, 541, 25941, 324, 563, 1038, 898, 568, 2813, 676, 12719, 519, 3017, 1063, 519, 2040, 540, 782, 2487, 12374, 543, 519, 2040, 540, 782, 2487, 9271, 543, 1287, 454, 1038, 12270, 519, 1267, 676, 519, 2040, 540, 782, 3902, 3350, 936, 519, 1974, 563, 1038, 901, 14251, 1807, 568, 2147, 547, 824, 11610, 10832, 971, 607, 519, 28731, 23848, 12039, 543, 519, 853, 27181, 744, 12965, 1807, 454, 1038, 1317, 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 ]
[ 538, 519, 15177, 7406, 543, 789, 2097, 856, 547, 1535, 288, 262, 815, 476, 736, 269, 280, 543, 1535, 289, 262, 815, 476, 4029, 269, 276, 269, 1548, 3947, 286, 594, 2219, 3845, 538, 519, 15177, 7406, 26438, 538, 519, 4287, 540, 5163, 2496, 1432, 596, 5249, 856, 1934, 729, 519, 15177, 7406, 10974, 693, 799, 519, 30303, 3576, 1747, 267, 855, 3314, 602, 789, 3576, 1747, 693, 1114, 2053, 543, 2687, 547, 519, 15177, 7406, 267, 621, 568, 711, 519, 15177, 855, 519, 15620, 593, 519, 2666, 602, 616, 538, 5163, 269, 4438, 519, 942, 1063, 519, 30303, 789, 6410, 269, 18044, 12712, 321, 645, 4682, 1055, 693, 512, 262, 289, 815, 910, 280, 269, 275, 693, 1535, 262, 289, 815, 476, 4029, 269, 276, 18044, 12712, 321, 589, 4682, 1055, 693, 512, 262, 288, 815, 910, 277, 269, 274, 693, 1535, 262, 288, 815, 476, 736, 269, 280, 692, 2414, 1265, 519, 3259, 1063, 519, 15620, 2687, 547, 519, 15177, 7406, 649, 1590, 1265, 856, 941, 835, 540, 519, 15620, 941, 950, 519, 824, 4682, 1055, 269, 1879, 8755, 12712, 321, 645, 4682, 1055, 8755, 12712, 321, 589, 729, 2965, 693, 1535, 262, 288, 30976, 815, 476, 736, 269, 280, 1341, 476, 271, 269, 274, 263, 280, 269, 275, 910, 476, 277, 269, 274, 264, 815, 476, 2641, 269, 279, 1924, 519, 3259, 1063, 873, 568, 700, 262, 815, 476, 4029, 269, 276, 910, 476, 2641, 269, 279, 815, 476, 280, 269, 278, 634, 2666, 7406, 3259, 1063, 873, 729, 700, 271, 815, 476, 1789, 910, 476, 736, 815, 476, 1015, 1924, 8197, 972, 729, 513, 3259, 19432, 593, 519, 3845, 1063, 519, 8755, 12712, 2125, 269, 634, 4443, 1259, 547, 1205, 621, 596, 4440, 2907, 917, 568, 700, 262, 815, 700, 271, 17320, 815, 476, 1015, 14370, 272, 910, 476, 271, 269, 3953, 264, 272, 270, 273, 815, 476, 280, 269, 276, 630, 763, 3017, 568, 17033, 1813, 547, 24263, 6959, 2679, 909, 538, 519, 3105, 1505, 24355, 1892, 5291, 2517, 327, 32528, 18502, 565, 2593, 2260, 345, 32397, 1723, 577, 8735, 270, 310, 17369, 7804, 1161, 11258 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4569, 692, 14006, 539, 676, 16317, 763, 5106, 19926, 2404, 547, 1022, 1297, 1797, 968, 15965, 728, 519, 1297, 676, 476, 274, 9731, 3674, 519, 1305, 540, 9981, 19610, 609, 519, 5106, 19926, 513, 6310, 1062, 2496, 1892, 4569, 910, 692, 31086, 280, 284, 274, 454, 31086, 274, 284, 272, 454, 3674, 19926, 272, 17995, 2098, 2496, 3602, 2098, 284, 3553, 540, 9981, 267, 543, 17995, 9881, 350, 834, 529, 538, 5016, 1012, 29594, 547, 713, 7726, 692, 3689, 8745, 3427, 13595, 2659, 8382, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 4569, 692, 1432, 616, 17773, 286, 10606, 3160, 547, 835, 8870, 5258, 676, 1776, 8870, 269, 6715, 619, 616, 2898, 2338, 267, 899, 476, 272, 267, 476, 273, 267, 476, 274, 3092, 269, 17773, 616, 2338, 899, 476, 273, 270, 274, 269, 1452, 2338, 616, 3435, 540, 4834, 602, 1810, 1405, 2141, 723, 513, 3070, 538, 454, 273, 269, 12693, 2979, 692, 273, 337, 266, 275, 284, 1015, 4270, 678, 284, 274, 865, 602, 1797, 476, 273, 343, 337, 284, 277, 543, 476, 277, 266, 275, 284, 1015, 269, 670, 842, 281, 8164, 513, 1297, 543, 4484, 616, 2673, 1927, 596, 723, 547, 1617, 2952, 555, 1889, 899, 476, 273, 337, 269, 634, 1871, 585, 678, 568, 8197, 476, 274, 256, 6271, 1259, 547, 1589, 827, 713, 1966, 568, 547, 1376, 676, 18946, 6693, 274, 269, 12693, 13431, 273, 692, 763, 27549, 540, 645, 9128, 338, 1299, 5333, 543, 19934, 4229, 689, 667, 6064, 25184, 568, 917, 607, 20491, 13552, 334, 269, 12984, 713, 2012, 2016, 1310, 519, 5106, 610, 1282, 519, 5106, 888, 275, 269, 12693, 2979, 692, 11243, 281, 22526, 667, 650, 517, 11261, 281, 5147, 476, 1240, 476, 1001, 271, 476, 272, 269, 19147, 476, 3445, 383, 371, 1240, 815, 276, 8382, 568, 476, 276, 476, 273, 269, 9255, 519, 1739, 1305, 540, 2338, 538, 26799, 1931, 269, 476, 2420, 267, 1107, 278, 267, 476, 279, 267, 1107, 275, 267, 476, 1321, 267, 1107, 272, 267, 476, 1691, 1306, 322, 2056, 1931, 2433, 910, 278, 267, 910, 275, 267, 910, 272, 267, 476, 279, 267, 476, 1691, 267, 476, 2420, 476, 274, 269, 5410, 476, 275, 269, 16265, 847, 476, 276, 269, 19147, 6693, 276, 269, 12693, 1686, 692, 1432, 729, 519, 5728, 31835, 5106, 547, 24057, 992, 519, 23162, 6554, 1572, 888, 277, 269, 12693, 13004, 692, 1410, 21622, 1946, 616, 519, 1739, 711, 2516, 281, 476, 272, 264, 1492, 1305, 540, 2098, 9981, 609, 5106, 12408, 476, 273, 264, 763, 1305, 540, 2098, 9981, 609, 5106, 1840, 476, 274, 264, 763, 1305, 540, 681, 265, 540, 782, 1875, 4642, 1483, 2338, 609, 1840, 454, 278, 269, 12693, 4569, 630, 31580, 545, 28294, 1637, 2020, 2304, 5106, 7472, 589, 6629, 272, 12458, 689, 513, 6824, 589, 284, 544, 14672, 267, 1141, 544, 9881, 510, 562, 543, 544, 9881, 510, 476, 271, 269, 1403, 519, 3355, 1871, 540, 589, 568, 476, 2190, 270, 5325, 543, 519, 5106, 568, 7368, 476, 1001, 273, 2053, 267, 519, 3803, 3977, 568, 513, 11486, 267, 1141, 513, 543, 536, 616, 2941, 31870, 2318, 9981, 269, 6693, 279, 269, 12693, 4569, 630, 31580, 545, 28294, 1637, 264, 6435, 803, 5225, 692, 2304, 5106, 7472, 589, 6629, 272, 12458, 689, 513, 6824, 589, 284, 544, 14672, 267, 1141, 544, 9881, 510, 562, 543, 544, 9881, 510, 476, 271, 269, 1403, 519, 3355, 1871, 540, 589, 568, 476, 2190, 270, 5325, 543, 519, 5106, 568, 7368, 476, 1001, 273, 2053, 267, 519, 3803, 3977, 568, 513, 11486, 267, 1141, 513, 543, 536, 616, 2941, 31870, 2318, 9981, 269, 6693, 280, 269, 12693, 2979, 692, 6518, 540, 519, 1739, 616, 9352, 5106, 269, 3286, 1518, 707, 2626, 269, 630, 328, 264, 519, 5106, 1547, 3989, 593, 1627, 676, 513, 12500, 815, 320, 6357, 8584, 264, 630, 4512, 264, 519, 5106, 1547, 3989, 593, 1496, 271, 267, 14039, 316, 676, 1535, 13885, 815, 5430, 15383, 849, 267, 1721, 1346, 5106, 799, 616, 9352, 4238, 267, 13765, 2436, 6693, 1015, 269, 12693, 2979, 692, 7617, 540, 519, 1739, 616, 9352, 5106, 269, 3286, 1518, 707, 2626, 269, 630, 328, 264, 519, 5106, 1547, 3989, 593, 1627, 676, 513, 12500, 815, 320, 6357, 8584, 264, 630, 4512, 264, 519, 5106, 1547, 3989, 593, 1496, 271, 267, 14039, 316, 676, 1535, 13885, 815, 5430, 15383, 849, 267, 1721, 1346, 5106, 799, 616, 9352, 4238, 267, 13765, 2436, 2560, 692, 5415, 5381, 5999, 0, 5425, 28786, 26033, 481, 11483, 8618, 289, 700, 624, 999, 1948, 2764, 1107, 524, 2675, 1712, 15276, 28786, 19540, 503, 692, 5425, 8618, 289, 700, 624, 999, 1948, 2764, 454, 1892, 19139, 12204, 267, 24050, 4990, 3040, 8585, 613, 12204, 454, 1892, 2372, 6506, 677, 454, 5649, 902, 281, 4653, 281, 26712, 263, 296, 297, 1070, 3848, 476, 279, 282, 8921, 1888, 281, 3848, 476, 280, 780, 306, 15659, 676, 19139, 281, 1261, 2355, 677, 454, 29613, 320, 281, 5901, 8939, 10545, 630, 528, 4102, 264, 3693, 563, 1892, 26419, 3983, 2856, 593, 513, 2241, 1592, 610, 6152, 563, 1892, 1809, 649, 4076, 2907, 2938, 621, 538, 2962, 281, 946, 24050, 563, 1892, 717, 1161, 744, 18217, 561, 326, 715, 3738, 5690, 630, 301, 4894, 23867, 4238, 1916, 1892, 4595, 649, 4894, 3688, 689, 1439, 540, 24050, 267, 649, 666, 946, 602, 1858, 547, 18645, 1267, 912, 13092, 281, 24050, 1881, 912, 306, 9285, 851, 454, 866, 476, 271, 910, 272, 476, 278, 476, 2537, 476, 273, 476, 5655, 454, 5655, 476, 2537, 476, 866, 476, 278, 476, 271, 476, 273, 910, 272, 476, 2537, 476, 278, 476, 866, 910, 272, 476, 271, 476, 273, 476, 5655, 476, 3192, 273, 268, 1015, 476, 23056, 273, 476, 278, 476, 271, 476, 273, 910, 272, 476, 866, 476, 2537, 476, 5655, 476, 736, 268, 272, 476, 278, 866, 23056, 273, 476, 271, 268, 272, 476, 27244, 280, 2537, 5655, 910, 272, 476, 271, 2767, 4572, 31079, 910, 272, 476, 271, 476, 273, 476, 278, 476, 866, 476, 2537, 476, 5655, 454, 5425, 8618, 289, 281, 700, 624, 999, 1948, 2764, 476, 273, 692, 306, 15659, 1635, 19139, 281, 19461, 1261, 777, 4328, 454, 1892, 1879, 8720, 646, 2355, 1354, 267, 649, 2813, 873, 676, 24450, 538, 606, 7620, 8900, 24050, 563, 1892, 1879, 2016, 606, 5044, 540, 796, 515, 9464, 1239, 547, 1376, 609, 267, 972, 568, 513, 5488, 5650, 630, 817, 2541, 24050, 4994, 539, 689, 476, 271, 2567, 1496, 322, 8091, 539, 476, 275, 270, 274, 2639, 341, 1355, 24050, 1518, 17301, 26514, 2855, 264, 13634, 842, 715, 815, 2855, 32324, 282, 585, 17301, 330, 284, 301, 270, 273, 282, 330, 285, 284, 271, 282, 330, 268, 284, 272, 264, 13634, 1721, 17301, 335, 284, 330, 22698, 284, 271, 282, 273, 265, 335, 266, 272, 513, 22141, 1871, 693, 519, 1164, 1439, 540, 519, 5311, 547, 581, 15044, 267, 543, 3388, 18016, 593, 519, 1970, 1439, 563, 1892, 19244, 16571, 1947, 593, 519, 1164, 543, 1970, 4773, 563, 1892, 1280, 3432, 267, 3247, 950, 4773, 616, 968, 20791, 2614, 892, 543, 798, 24450, 4990, 454, 517, 519, 2898, 3364, 563, 1892, 17217, 281, 24450, 4990, 814, 1970, 3586, 2188, 269, 1635, 1374, 267, 1100, 6221, 786, 1847, 856, 540, 922, 4062, 1496, 25585, 286, 3910, 865, 950, 4773, 616, 1507, 267, 1948, 514, 591, 268, 521, 687, 568, 267, 1932, 563, 1892, 5620, 547, 3442, 22141, 1134, 269, 661, 3052, 12727, 11667, 540, 1101, 267, 2063, 543, 1647, 3688, 540, 5311, 780, 7078, 540, 2372, 6506, 677, 454, 1892, 769, 713, 1383, 267, 649, 3136, 2394, 4773, 616, 2450, 18016, 476, 275, 563, 1892, 623, 643, 1824, 585, 1985, 1900, 616, 5182, 1042, 269, 28081, 547, 1847, 22141, 547, 12270, 454, 1467, 1142, 942, 563, 1892, 7831, 1900, 568, 24450, 4990, 563, 1892, 3767, 3388, 568, 968, 29148, 547, 892, 1318, 267, 865, 1175, 798, 24450, 4990, 1384, 8110, 18504, 540, 2372, 6506, 677, 454, 1892, 11525, 629, 531, 2065, 942, 912, 1700, 1403, 3903, 540, 9187, 1824, 1434, 267, 7941, 1239, 538, 1079, 1142, 942, 281, 3852, 502, 18217, 561, 326, 715, 12467, 5976, 513, 1434, 3586, 3815, 3448, 547, 19467, 610, 24050, 4990, 563, 1700, 1403, 3903, 540, 9187, 1824, 3983, 267, 1034, 3688, 593, 835, 2427, 1142, 942, 281, 3852, 502, 18217, 273, 1916, 1700, 3852, 358, 18217, 561, 326, 715, 3738, 538, 1655, 2013, 267, 865, 24450, 4990, 1732, 585, 5176, 610, 268, 632, 1042, 3403, 5036, 563, 1892, 21624, 1448, 281, 14477, 695, 4428, 1782, 519, 1239, 1354, 18570, 2306, 3852, 358, 18217, 273, 264, 942, 1360, 12691, 256, 0, 26322, 28483, 692, 258, 12275, 787, 744, 262, 291, 517, 24274, 692, 8310, 2938, 281, 476, 272, 1032, 3516, 15765, 2094, 476, 1708, 271, 692, 2971, 12474, 16376, 692, 8698, 676, 692, 306, 9407, 692, 31162, 1037, 539, 5119, 454, 4415, 513, 2016, 5119, 589, 630, 21653, 544, 1535, 562, 264, 1711, 513, 5119, 645, 630, 21653, 544, 266, 273, 1535, 562, 266, 273, 264, 865, 602, 519, 5119, 589, 568, 11303, 676, 3283, 281, 589, 815, 1496, 272, 476, 273, 27250, 272, 1032, 3516, 692, 306, 9407, 692, 305, 27654, 519, 2609, 540, 606, 5044, 454, 305, 27654, 519, 1931, 540, 2609, 538, 606, 5044, 281, 19838, 281, 3403, 2473, 815, 1496, 476, 272, 476, 273, 476, 274, 6902, 476, 275, 476, 276, 476, 277, 6902, 476, 278, 476, 279, 476, 280, 9948, 522, 13718, 272, 1032, 3516, 692, 306, 9407, 692, 14503, 760, 519, 1292, 15497, 540, 513, 5119, 454, 11693, 513, 562, 1535, 562, 5119, 267, 631, 267, 16212, 922, 1292, 15497, 269, 7151, 281, 23645, 631, 284, 332, 20723, 263, 276, 5148, 23645, 16212, 13312, 21192, 29687, 264, 476, 280, 476, 2190, 476, 272, 27250, 272, 1032, 3516, 692, 306, 9407, 692, 13014, 606, 15813, 19856, 585, 513, 6263, 27576, 25224, 2006, 454, 302, 10798, 267, 2016, 513, 6152, 267, 2161, 642, 17342, 272, 476, 274, 476, 277, 476, 280, 476, 1556, 3910, 2490, 621, 883, 513, 5119, 1412, 1090, 335, 262, 899, 865, 281, 544, 17342, 272, 476, 274, 476, 277, 476, 280, 476, 1556, 282, 476, 274, 476, 277, 476, 280, 476, 1556, 476, 271, 282, 476, 277, 476, 280, 27250, 272, 1032, 3516, 692, 306, 9407, 692, 12988, 547, 9238, 476, 2537, 910, 10222, 9771, 5119, 454, 290, 1478, 532, 930, 2596, 3584, 594, 10093, 1405, 2938, 11992, 593, 595, 1328, 269, 9717, 606, 3403, 5119, 267, 2132, 513, 5119, 609, 782, 2609, 1657, 513, 13718, 272, 1032, 3516, 692, 306, 9407, 692, 12988, 547, 9238, 476, 2641, 910, 19336, 18187, 908, 454, 290, 1478, 532, 930, 2596, 3584, 594, 10093, 1405, 2938, 11992, 593, 595, 1328, 269, 9717, 606, 3403, 5119, 267, 5352, 606, 3977, 5119, 602, 5161, 522, 13718, 272, 1032, 3516, 692, 306, 9407, 692, 7230, 913, 10878, 301, 15017, 6358, 9847, 5119, 630, 333, 265, 332, 264, 609, 693, 2547, 835, 3693, 3160, 547, 10878, 301, 282, 3977, 9847, 5119, 9638, 265, 332, 1070, 519, 1482, 5119, 1141, 649, 25216, 519, 1303, 328, 13718, 272, 1032, 3516, 692, 306, 9407, 692, 301, 5937, 7645, 26275, 6215, 823, 454, 11693, 606, 715, 8820, 5044, 267, 9041, 288, 318, 267, 606, 4994, 267, 9041, 296, 318, 267, 543, 513, 10155, 267, 9041, 323, 318, 267, 2132, 519, 9041, 296, 318, 555, 2609, 540, 9041, 288, 318, 538, 519, 9041, 323, 318, 10155, 269, 27250, 272, 1032, 3516, 692, 306, 9407, 692, 307, 1307, 476, 273, 910, 5254, 11286, 28313, 454, 2521, 856, 713, 1449, 1966, 1101, 269, 9717, 519, 4756, 1535, 607, 707, 3403, 267, 9062, 621, 676, 1079, 543, 2322, 519, 1267, 538, 586, 269, 6201, 281, 13718, 272, 1032, 3516, 692, 306, 9407, 692, 7230, 913, 519, 2011, 18616, 454, 11693, 513, 5119, 513, 267, 2132, 513, 5119, 536, 538, 799, 782, 519, 21325, 723, 834, 321, 889, 16940, 257, 547, 519, 1283, 269, 2334, 568, 267, 1022, 21325, 538, 513, 2016, 6241, 695, 9567, 13718, 272, 1032, 3516, 0, 17345, 3213, 268, 867, 3990, 676, 594, 3951, 918, 9618, 698, 20580, 454, 715, 8976, 5085, 23645, 20043, 23645, 6406, 7177, 23645, 17438, 10613, 538, 6406, 7177, 1109, 263, 21581, 264, 23645, 4985, 910, 10020, 540, 17438, 538, 6406, 7177, 454, 9223, 538, 17976, 454, 9105, 513, 7726, 7726, 11762, 2433, 7726, 281, 476, 6892, 1109, 16655, 281, 476, 4968, 1347, 692, 5472, 5999 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 1412, 1704, 693, 476, 1556, 281, 2641, 454, 1892, 23010, 267, 9684, 596, 782, 865, 1454, 267, 1175, 1705, 519, 7503, 543, 3893, 620, 582, 540, 8799, 23545, 566, 267, 835, 5180, 540, 700, 262, 295, 2214, 8558, 2663, 543, 3893, 519, 3970, 538, 6405, 269, 11289, 596, 782, 865, 1454, 256, 1107, 1109, 303, 31242, 14175, 4239, 476, 273, 1412, 1704, 693, 476, 1556, 281, 2420, 0, 293, 27518, 454, 9802, 476, 277, 267, 476, 1001, 277, 692, 258, 14581, 6435, 281, 3348, 531, 322, 692, 16829, 676, 6607, 324, 593, 13628, 267, 4864, 476, 1626, 267, 476, 1001, 273, 693, 476, 1556, 281, 2190, 10975, 780, 2224, 1379, 4227, 9163, 547, 6961, 519, 3961, 692, 7562, 317, 275, 343, 284, 272, 270, 279, 263, 274, 268, 275, 6523, 273, 343, 266, 6523, 275, 343, 2020, 6523, 317, 274, 343, 14352, 272, 270, 273, 6523, 343, 264, 630, 272, 266, 6523, 273, 343, 2020, 628, 3471, 2433, 994, 1892, 3348, 531, 322, 910, 19378, 267, 11016, 267, 4864, 476, 1704, 267, 476, 1001, 273, 693, 476, 1321, 281, 2641, 600, 692, 6523, 476, 273, 343, 815, 476, 273, 6523, 317, 273, 1535, 910, 476, 272, 454, 810, 267, 476, 272, 270, 273, 5430, 1535, 630, 272, 266, 273, 6523, 317, 273, 1535, 910, 476, 272, 264, 815, 5430, 317, 274, 1535, 692, 6523, 476, 275, 343, 815, 476, 272, 910, 476, 273, 7562, 317, 273, 476, 273, 343, 454, 284, 476, 272, 910, 476, 279, 7562, 317, 273, 1535, 5430, 317, 273, 1535, 454, 284, 476, 272, 910, 476, 279, 7562, 317, 273, 1535, 630, 272, 910, 5609, 317, 273, 1535, 994, 284, 476, 272, 910, 476, 279, 7562, 317, 273, 1535, 1341, 476, 279, 5609, 317, 275, 1535, 692, 6523, 476, 273, 343, 815, 476, 272, 910, 476, 273, 7562, 317, 273, 1535, 454, 275, 6523, 476, 273, 343, 815, 476, 275, 910, 476, 279, 7562, 317, 273, 1535, 692, 272, 270, 279, 263, 274, 268, 275, 6523, 273, 343, 266, 6523, 275, 343, 994, 284, 476, 272, 270, 279, 263, 274, 910, 476, 275, 1341, 476, 279, 7562, 317, 273, 1535, 1341, 476, 272, 910, 476, 279, 7562, 317, 273, 1535, 1341, 476, 279, 5609, 317, 275, 1535, 994, 284, 476, 272, 270, 279, 263, 279, 7562, 317, 275, 1535, 994, 284, 5609, 317, 275, 1535, 0, 258, 29570, 7054, 10585, 21408, 10561, 547, 513, 25351, 4120, 692, 296, 723, 513, 8254, 3168, 693, 513, 2780, 6895, 689, 8795, 7285, 269, 4595, 519, 8254, 568, 513, 7470, 540, 19641, 267, 594, 666, 5581, 519, 23451, 540, 519, 6895, 538, 519, 8254, 3239, 607, 1384, 296, 4126, 602, 2306, 2631, 269, 1548, 594, 1616, 547, 798, 568, 2097, 909, 609, 606, 5690, 547, 14377, 2798, 1369, 713, 3337, 547, 713, 1384, 296, 723, 2798, 1369, 519, 1482, 6389, 607, 13235, 291, 267, 607, 5462, 689, 519, 8254, 267, 855, 594, 991, 547, 2721, 891, 2798, 538, 519, 6389, 540, 519, 6895, 781, 6571, 780, 9989, 602, 2306, 2631, 286, 7102, 2093, 2496, 8894, 2791, 2811, 6998, 585, 606, 3413, 710, 7004, 286, 1107, 1109, 297, 269, 631, 269, 5463, 476, 278, 1412, 1015, 693, 476, 1240, 281, 6246, 454, 8133, 267, 602, 781, 3833, 2673, 547, 1018, 594, 6415, 3168, 585, 269, 594, 6415, 3168, 547, 4786, 513, 476, 275, 521, 3660, 3337, 609, 15174, 13235, 291, 547, 589, 262, 289, 262, 290, 262, 291, 8339, 1772, 972, 513, 1259, 547, 798, 713, 538, 2489, 267, 610, 798, 1775, 991, 547, 4137, 856, 519, 1367, 2981, 267, 17967, 267, 19852, 267, 3092, 269, 3604, 1063, 519, 1079, 5546, 286, 1107, 1109, 321, 4428, 518, 345, 5463, 476, 278, 1412, 1015, 693, 476, 1240, 281, 6321, 454, 296, 723, 513, 2182, 942, 1620, 1018, 596, 616, 6998, 269, 898, 4667, 596, 723, 606, 17062, 29105, 543, 596, 1616, 547, 4786, 621, 547, 513, 13551, 286, 634, 1034, 2786, 268, 3453, 1259, 1131, 581, 547, 3328, 519, 6587, 5011, 543, 1491, 891, 547, 581, 707, 11097, 2195, 543, 15627, 269, 1772, 972, 1945, 596, 1616, 547, 581, 12873, 676, 713, 7004, 267, 552, 3052, 269, 1858, 286, 1107, 1109, 310, 310, 2431, 5463, 476, 278, 1412, 1015, 693, 476, 866, 281, 1704, 454, 8253, 782, 25965, 616, 24276, 676, 15738, 513, 8254, 693, 513, 13551, 269, 1924, 11716, 835, 540, 519, 7944, 15304, 338, 543, 1287, 798, 513, 5276, 2981, 630, 531, 784, 609, 513, 8144, 547, 6474, 909, 519, 5169, 264, 547, 6474, 909, 519, 6967, 6906, 269, 634, 8772, 1448, 786, 4012, 1227, 1439, 909, 1141, 621, 1058, 581, 269, 594, 1131, 1118, 713, 606, 2626, 267, 855, 594, 666, 1405, 581, 536, 6139, 1042, 547, 2965, 960, 856, 799, 5119, 594, 991, 269, 1107, 1109, 302, 24249, 595, 7342, 5069, 5463, 476, 278, 1412, 1015, 693, 476, 866, 281, 1839, 454, 288, 476, 273, 291, 15010, 273, 291, 3413, 710, 7004, 786, 711, 960, 267, 607, 789, 4786, 6252, 9999, 547, 6252, 9999, 269, 1411, 666, 798, 476, 274, 291, 15010, 273, 291, 2921, 5413, 540, 519, 3178, 547, 2272, 585, 519, 1875, 24733, 5537, 1143, 630, 1492, 1079, 5011, 786, 581, 6252, 538, 476, 274, 2230, 1040, 1403, 596, 917, 519, 3178, 267, 596, 666, 1175, 1246, 519, 9504, 2376, 543, 4194, 585, 519, 5119, 2609, 540, 519, 2981, 269, 1107, 1109, 305, 1601, 7085, 1731, 534, 5463, 476, 278, 1412, 1015, 693, 476, 866, 281, 1839, 692, 1103, 2489, 972, 568, 1100, 3413, 710, 7004, 602, 7851, 606, 17062, 9076, 4120, 5196, 513, 13551, 269, 1809, 972, 568, 630, 1410, 18075, 835, 264, 1788, 633, 7004, 1269, 307, 259, 602, 7851, 513, 2016, 9076, 4120, 18159, 288, 267, 645, 267, 595, 267, 667, 7751, 538, 519, 1788, 633, 7077, 5196, 513, 2016, 9076, 4120, 18159, 288, 3299, 645, 3299, 595, 262, 667, 262, 7751, 538, 519, 1482, 610, 1776, 1788, 633, 7077, 269, 901, 1269, 307, 259, 568, 12276, 527, 897, 15035, 20954, 1775, 4318, 1421, 621, 7851, 3515, 547, 3515, 269, 1677, 798, 519, 9273, 596, 723, 547, 6338, 24267, 10974, 18159, 343, 11971, 267, 345, 7751, 971, 602, 1269, 291, 14352, 271, 267, 271, 267, 272, 29408, 1269, 290, 14352, 272, 267, 271, 267, 272, 29408, 1269, 288, 14352, 271, 267, 272, 267, 272, 29408, 1269, 289, 14352, 272, 267, 272, 267, 272, 7751, 543, 13974, 585, 1269, 288, 262, 8961, 1269, 289, 262, 8961, 1269, 290, 262, 8961, 1269, 291, 262, 10608, 2060, 2463, 547, 891, 10974, 519, 4786, 1269, 307, 259, 568, 5276, 543, 922, 5119, 568, 519, 3961, 5119, 780, 8894, 296, 6415, 513, 3787, 15309, 344, 593, 1250, 5119, 2979, 269, 594, 6415, 711, 3168, 585, 513, 30453, 5690, 855, 594, 6415, 11842, 952, 972, 781, 513, 28957, 610, 2147, 2376, 3823, 707, 19583, 269, 594, 6415, 3843, 547, 1439, 909, 609, 513, 1599, 11341, 513, 13235, 291, 543, 589, 262, 289, 262, 290, 262, 291, 262, 2047, 267, 865, 594, 666, 2936, 602, 883, 1250, 3301, 1788, 269, 1107, 1109, 321, 4428, 518, 345, 5463, 476, 279, 1412, 1015, 693, 476, 273, 281, 6246, 454, 2005, 3112, 581, 2944, 1510, 930, 5119, 12879, 269, 634, 1739, 2985, 4667, 547, 2270, 1360, 8763, 12596, 17640, 547, 707, 1966, 281, 22762, 2774, 8962, 2593, 22230, 17805, 566, 18025, 619, 8826, 300, 6260, 15005, 1107, 1109, 22146, 2349, 2660, 5463, 476, 279, 1412, 1015, 693, 476, 736, 281, 6860, 454, 763, 3095, 814, 4957, 547, 22762, 2774, 8962, 2593, 22230, 17805, 566, 18025, 619, 8826, 300, 1952, 902, 15005, 1107, 1109, 309, 1774, 290, 4752, 2465, 4239, 476, 2420, 1412, 1691, 693, 476, 1626, 281, 3393, 692, 2521, 713, 3070, 267, 621, 5249, 585, 803, 780, 8894, 2026, 2484, 607, 594, 666, 2995, 519, 3070, 596, 1448, 547, 14543, 952, 596, 723, 513, 25521, 607, 606, 3403, 269, 1280, 1383, 267, 2119, 4758, 621, 513, 1547, 898, 781, 3833, 2009, 594, 6415, 711, 1620, 1945, 827, 519, 3070, 855, 594, 9364, 2648, 547, 917, 1018, 621, 568, 952, 596, 666, 1205, 621, 547, 960, 585, 6252, 9999, 269, 1107, 1109, 300, 3430, 807, 8734, 476, 3066, 1412, 1556, 693, 476, 2641, 281, 2767, 454, 287, 300, 3430, 807, 634, 5532, 3070, 6257, 513, 1505, 630, 321, 559, 710, 541, 31992, 264, 547, 4786, 519, 1770, 4009, 5196, 606, 17062, 29105, 269, 1703, 616, 1100, 9993, 593, 519, 29105, 269, 901, 568, 4440, 4010, 1018, 519, 20525, 568, 3168, 585, 269, 1403, 519, 11201, 540, 713, 11837, 568, 2838, 267, 713, 568, 849, 5941, 538, 519, 3095, 269, 1107, 1109, 344, 553, 3405, 4924, 476, 272, 1412, 1321, 693, 476, 1691, 281, 6021, 692, 763, 1655, 3070, 594, 4312, 1336, 865, 2484, 593, 513, 8468, 4503, 538, 519, 4262, 540, 15473, 568, 547, 31693, 707, 1966, 899, 713, 23241, 2080, 267, 772, 543, 966, 2099, 10974, 1369, 519, 29105, 630, 2675, 4705, 1063, 476, 271, 543, 476, 272, 6393, 5804, 1269, 303, 271, 8961, 1269, 303, 272, 8961, 1269, 303, 273, 259, 1299, 1269, 303, 274, 259, 649, 666, 3362, 12337, 519, 28348, 3339, 10321, 1269, 301, 271, 8961, 1269, 301, 272, 8961, 1269, 301, 273, 259, 1299, 1269, 301, 274, 10608, 3973, 267, 621, 781, 2653, 547, 1294, 602, 2433, 3230, 340, 815, 1422, 2765, 18097, 308, 271, 2410, 323, 308, 271, 1341, 546, 308, 272, 348, 815, 1422, 2765, 18950, 303, 6261, 271, 264, 1422, 10383, 715, 271, 2410, 263, 303, 6261, 271, 1040, 301, 271, 1341, 630, 303, 6261, 273, 264, 1422, 10383, 715, 273, 348, 8607, 642, 815, 1422, 2765, 18097, 309, 271, 2410, 323, 309, 271, 1341, 546, 309, 272, 348, 815, 1422, 2765, 18950, 303, 6261, 271, 264, 1422, 10383, 715, 272, 2410, 263, 303, 6261, 271, 1040, 301, 272, 1341, 630, 303, 6261, 274, 264, 1422, 10383, 715, 274, 20467, 9681, 1607, 4164, 564, 10961, 566, 1568, 899, 513, 19259, 543, 568, 2731, 2653, 547, 12337, 1369, 513, 9328, 518, 585, 1383, 269, 1548, 781, 16602, 568, 519, 9258, 281, 4466, 1269, 303, 3287, 11971, 7751, 689, 18159, 340, 267, 341, 7751, 865, 1934, 568, 519, 1267, 1384, 2330, 343, 815, 1422, 2765, 28452, 298, 295, 1422, 10383, 579, 15598, 910, 642, 299, 296, 1422, 10383, 579, 292, 289, 2410, 341, 297, 294, 1422, 10383, 579, 292, 289, 910, 642, 298, 295, 1422, 10383, 579, 6395, 9574, 8607, 586, 815, 1422, 2765, 28452, 299, 296, 1422, 10383, 579, 6395, 910, 579, 15598, 1422, 10383, 642, 297, 294, 2410, 341, 297, 294, 1422, 10383, 579, 292, 289, 910, 642, 298, 295, 1422, 10383, 579, 6395, 9574, 9681, 3602, 281, 3230, 340, 6395, 815, 579, 1422, 10383, 630, 291, 5025, 1070, 1422, 15153, 579, 292, 289, 815, 579, 1422, 10383, 630, 292, 5174, 1070, 1422, 15153, 579, 15598, 815, 579, 1422, 10383, 630, 293, 4211, 1070, 8607, 642, 297, 294, 815, 642, 1422, 10383, 630, 297, 8566, 1070, 1422, 15153, 642, 298, 295, 815, 642, 1422, 10383, 630, 298, 6953, 1070, 1422, 15153, 642, 297, 294, 815, 642, 1422, 10383, 630, 297, 8566, 1070, 9681, 663, 6368, 281, 3230, 288, 815, 715, 271, 13448, 267, 1422, 29911, 1422, 29911, 645, 815, 715, 271, 14729, 267, 1422, 15153, 595, 815, 910, 303, 271, 1422, 10383, 715, 271, 267, 1422, 29911, 8607, 667, 815, 715, 271, 13448, 1341, 715, 273, 13448, 267, 1422, 15153, 661, 815, 715, 271, 14729, 1341, 715, 273, 14729, 267, 1422, 15153, 674, 815, 910, 303, 271, 1422, 10383, 715, 271, 910, 623, 273, 1422, 10383, 715, 273, 267, 8607, 717, 815, 715, 272, 13448, 267, 1422, 29911, 1422, 29911, 670, 815, 715, 272, 14729, 267, 1422, 15153, 594, 815, 910, 303, 271, 1422, 10383, 715, 272, 267, 1422, 29911, 8607, 808, 815, 715, 272, 13448, 1341, 715, 274, 13448, 267, 1422, 15153, 918, 815, 715, 272, 14729, 1341, 715, 274, 14729, 267, 1422, 15153, 700, 815, 910, 303, 271, 1422, 10383, 715, 272, 910, 623, 273, 1422, 10383, 715, 274, 269, 9681, 296, 4312, 1044, 1210, 713, 6707, 585, 14692, 11837, 540, 513, 632, 11526, 8254, 2927, 560, 636, 25528, 883, 513, 2834, 4009, 9403, 543, 594, 666, 26924, 596, 621, 781, 2324, 1390, 256, 2433, 291, 692, 8894, 1432, 616, 1269, 340, 267, 341, 259, 286, 1107, 1109, 333, 321, 889, 529, 3057, 476, 2641, 1412, 1691, 693, 476, 271, 281, 2641, 692, 296, 4312, 1044, 32702, 609, 513, 1360 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1281, 711, 11651, 613, 267, 1287, 2387, 3916, 24101, 535, 22397, 379, 3287, 264, 815, 570, 18269, 3973, 1310, 693, 1034, 2387, 307, 319, 2474, 267, 2387, 325, 22397, 379, 3287, 23375, 1590, 10956, 606, 3977, 267, 543, 865, 5956, 513, 4783, 269, 1924, 2387, 325, 22397, 379, 319, 814, 4110, 693, 1034, 2387, 307, 27471, 4002, 519, 824, 1688, 267, 952, 2387, 325, 319, 814, 513, 6378, 4110, 267, 621, 3112, 11651, 613, 2094, 621, 1152, 9979, 998, 513, 13113, 1305, 540, 2418, 780, 5522, 2246, 639, 454, 310, 7159, 267, 865, 596, 4076, 8810, 519, 11532, 649, 4941, 281, 2901, 513, 1599, 11651, 2471, 267, 610, 621, 814, 513, 6378, 4110, 563, 294, 320, 1014, 324, 454, 16100, 338, 899, 594, 1705, 2336, 5522, 2246, 639, 454, 296, 5469, 602, 707, 6169, 1500, 946, 540, 513, 7744, 676, 27171, 269, 1548, 827, 519, 1482, 11532, 538, 16268, 7954, 888, 294, 320, 1014, 324, 454, 296, 1810, 1406, 917, 269, 594, 6557, 711, 1932, 5432, 609, 16268, 7954, 267, 855, 621, 8910, 581, 4277, 547, 25666, 713, 11532, 538, 3213, 336, 563, 5522, 2246, 639, 454, 8253, 547, 803, 269, 7102, 3118, 267, 865, 621, 4992, 899, 649, 4076, 3893, 3252, 593, 519, 562, 4405, 1023, 782, 23125, 856, 563, 294, 320, 1014, 324, 454, 296, 9327, 1406, 2161, 602, 269, 3371, 779, 606, 1930, 1966, 513, 3659, 5143, 803, 827, 780, 13706, 519, 1599, 692, 3499, 325, 3799, 264, 815, 952, 630, 16838, 286, 562, 264, 1287, 630, 333, 1315, 476, 273, 264, 3116, 630, 274, 2608, 562, 1341, 476, 272, 994, 7884, 28733, 569, 621, 814, 513, 6378, 1448, 693, 2387, 271, 319, 540, 4110, 476, 272, 267, 543, 621, 849, 814, 513, 6378, 15304, 540, 4110, 476, 274, 267, 799, 568, 2387, 272, 2433, 476, 275, 2433, 476, 273, 2433, 476, 272, 2433, 3267, 18269, 3657, 972, 1022, 824, 6378, 2798, 2496, 294, 320, 1014, 324, 454, 7343, 30068, 713, 568, 513, 1360, 2182, 1966, 267, 547, 519, 1448, 602, 6754, 661, 6113, 385, 495, 338, 1767, 267, 968, 12385, 24136, 568, 711, 2943, 22691, 585, 971, 2042, 3034, 5522, 2246, 639, 454, 295, 7795, 269, 1284, 2273, 269, 1924, 621, 1522, 723, 1776, 6378, 1448, 540, 930, 1804, 4110, 12341, 267, 610, 621, 1522, 11651, 613, 563, 294, 320, 1014, 324, 454, 31800, 1695, 269, 4223, 11490, 2103, 723, 1256, 8810, 23451, 593, 519, 4110, 282, 621, 666, 1406, 581, 4130, 982, 476, 15793, 267, 585, 1383, 563, 5522, 2246, 639, 454, 2171, 2273, 2336, 294, 320, 1014, 324, 454, 763, 1448, 568, 267, 1498, 649, 917, 782, 3252, 593, 519, 562, 4405, 1023, 11651, 613, 610, 723, 13113, 24266, 6378, 2798, 267, 649, 1810, 1406, 8209, 917, 799, 6378, 2798, 616, 799, 563, 5522, 2246, 639, 454, 26170, 267, 602, 779, 3579, 269, 1284, 1058, 1847, 593, 547, 6024, 5624, 1985, 267, 1318, 888, 294, 320, 1014, 324, 454, 28646, 930, 824, 942, 269, 898, 779, 3735, 267, 543, 594, 11129, 547, 979, 547, 3207, 269, 6423, 596, 1586, 4166, 780, 3528, 593, 1547, 9523, 621, 22924, 781, 16671, 5174, 312, 4149, 288, 13931, 780, 12179, 8369, 267, 4681, 267, 543, 8753, 610, 7840, 6829, 538, 713, 1570, 616, 1346, 540, 519, 2278, 543, 798, 711, 8209, 2992, 519, 5784, 540, 519, 2817, 3163, 7690, 269, 0, 258, 16010, 4258, 520, 16847, 4828, 692, 279, 1015, 9293, 275, 9664, 454, 15612, 1807, 12793, 281, 3040, 9796, 906, 693, 22073, 540, 5729, 281, 476, 273, 526, 267, 6751, 307, 267, 476, 273, 526, 267, 9373, 630, 289, 9680, 264, 3040, 9796, 906, 693, 7736, 540, 5729, 281, 476, 273, 526, 267, 6751, 307, 267, 476, 273, 526, 267, 9373, 630, 21715, 264, 3040, 9373, 2724, 6028, 596, 607, 2942, 1297, 267, 20134, 22418, 10046, 3040, 9373, 2724, 4947, 547, 596, 607, 2318, 1297, 267, 15474, 22418, 10046, 10558, 10025, 281, 3040, 1548, 568, 621, 4502, 2221, 286, 8892, 10025, 281, 3040, 1411, 7623, 513, 2040, 540, 2724, 16539, 2221, 630, 11901, 264, 693, 3617, 1719, 2557, 547, 1265, 621, 1871, 538, 519, 2104, 269, 7788, 8462, 630, 302, 6113, 2435, 2567, 3040, 9796, 906, 616, 1500, 693, 7736, 540, 1142, 1974, 269, 3040, 674, 309, 281, 634, 2179, 596, 18645, 676, 7263, 1746, 3160, 13362, 5666, 693, 1808, 11996, 269, 3040, 25159, 281, 14346, 267, 674, 309, 267, 715, 267, 594, 267, 6751, 307, 7788, 8462, 9603, 281, 3040, 9796, 906, 616, 1500, 693, 22073, 540, 1142, 1974, 269, 1496, 273, 526, 267, 6751, 307, 267, 476, 273, 526, 267, 9373, 16360, 9680, 13580, 3040, 16338, 1063, 630, 29151, 264, 543, 630, 4696, 264, 568, 6666, 8928, 786, 2049, 2290, 11270, 17652, 518, 267, 8754, 972, 568, 2290, 23448, 1974, 540, 7623, 532, 538, 630, 4696, 264, 3040, 589, 3815, 540, 630, 272, 266, 328, 264, 609, 630, 4696, 264, 3281, 895, 9314, 281, 3040, 2423, 333, 9314, 593, 20232, 543, 19017, 9314, 700, 2794, 5681, 281, 3040, 25159, 281, 674, 309, 267, 14346, 267, 715, 267, 594, 3040, 12327, 281, 1215, 1082, 1296, 1131, 621, 1491, 585, 32686, 9346, 547, 1294, 1010, 3355, 5092, 540, 8096, 7742, 271, 1332, 547, 8096, 1911, 876, 693, 606, 1719, 2557, 540, 476, 1015, 260, 14329, 540, 476, 7761, 281, 3040, 17677, 707, 5092, 3040, 594, 1535, 715, 815, 476, 7761, 3281, 15929, 2859, 982, 4495, 3131, 5729, 281, 3040, 645, 4637, 281, 12054, 328, 268, 25486, 783, 9314, 6751, 307, 3040, 18200, 16372, 270, 10111, 10753, 753, 281, 13600, 569, 6751, 307, 3040, 17797, 519, 10025, 540, 2048, 301, 685, 543, 2048, 296, 685, 547, 2992, 519, 4908, 540, 7623, 532, 269, 3040, 12327, 281, 476, 276, 1296, 267, 476, 1321, 260, 1719, 2557, 267, 31903, 10865, 522, 715, 284, 2568, 594, 284, 272, 260, 522, 594, 270, 312, 284, 630, 4504, 270, 1321, 264, 715, 284, 630, 312, 3464, 1535, 476, 1321, 264, 3040, 2859, 7928, 519, 7623, 532, 267, 519, 3677, 519, 2179, 596, 18645, 936, 942, 269, 23120, 3281, 15929, 281, 3040, 13229, 15580, 540, 9314, 284, 630, 324, 328, 1107, 476, 272, 264, 1535, 476, 1911, 522, 9717, 513, 6378, 1719, 2557, 267, 6024, 7623, 532, 2488, 5207, 2500, 1719, 2557, 3040, 674, 309, 284, 14346, 16216, 514, 3738, 3040, 14346, 284, 674, 309, 14370, 324, 514, 3738, 3040, 594, 284, 1719, 2557, 6829, 607, 513, 8918, 267, 476, 1428, 9077, 1131, 581, 1547, 1428, 3040, 715, 284, 1297, 540, 1296, 3131, 7065, 8462, 281, 3040, 22418, 2095, 4386, 693, 1808, 11996, 11014, 0, 258, 32322, 476, 272, 269, 11762, 32322, 543, 14965, 1761, 32322, 543, 3337, 540, 519, 3047, 1772, 739, 6470, 32322, 22114, 11305, 528, 516, 2388, 32322, 9781, 32322, 543, 780, 1012, 19809, 593, 6249, 281, 834, 24836, 6143, 476, 272, 269, 11762, 32322, 543, 14965, 1761, 32322, 543, 3337, 540, 519, 3047, 1772, 739, 6470, 32322, 22114, 11305, 528, 516, 2388, 32322, 9781, 32322, 543, 1701, 1765, 19809, 13973, 1384, 24836, 6143, 476, 272, 692, 12749, 923, 32322, 543, 14965, 1761, 32322, 543, 3337, 540, 519, 3047, 1772, 739, 6470, 32322, 22114, 11305, 528, 516, 2388, 32322, 9781, 32322, 543, 23033, 9582, 692, 24836, 6143, 1107, 2596, 6240, 2527, 540, 3047, 630, 300, 661, 3738, 1535, 2527, 630, 332, 264, 630, 323, 2700, 1063, 13999, 630, 305, 4297, 476, 273, 10414, 815, 14965, 3586, 630, 294, 264, 1535, 630, 6124, 2023, 779, 17629, 4521, 540, 3400, 341, 2787, 264, 631, 544, 681, 674, 674, 630, 6124, 2023, 779, 5822, 4521, 540, 18289, 264, 476, 14917, 277, 692, 24836, 6143, 1107, 2596, 6240, 631, 332, 681, 674, 674, 717, 1107, 14965, 630, 6124, 2023, 1014, 264, 1526, 717, 815, 476, 277, 269, 6858, 1535, 476, 1015, 910, 1556, 544, 476, 274, 4846, 910, 272, 521, 910, 273, 692, 293, 1495, 4442, 16544, 540, 32322, 476, 272, 7868, 10231, 1813, 547, 8904, 630, 326, 264, 1281, 711, 4096, 593, 519, 2527, 544, 476, 272, 267, 13631, 547, 519, 3047, 269, 476, 273, 7868, 2417, 689, 3047, 779, 8998, 540, 2527, 630, 305, 23645, 1070, 519, 4130, 568, 519, 14965, 10231, 630, 6588, 6143, 1073, 324, 903, 11201, 4009, 1876, 1040, 31595, 22191, 328, 31595, 27581, 6603, 856, 689, 606, 5580, 2545, 935, 344, 540, 519, 2274, 22135, 18975, 540, 623, 13453, 543, 1577, 2887, 1079, 10007, 540, 1114, 12035, 269, 1548, 5949, 286, 5291, 2517, 4178, 6155, 822, 1342, 541, 1782, 29335, 270, 1890, 743, 31638, 12458, 270, 3147, 6588, 341, 11258, 630, 294, 718, 850, 334, 568, 519, 2012, 540, 513, 1236, 903, 28755, 704, 538, 7671, 31060, 24355, 3963, 575, 568, 1114, 286, 8422, 2188, 585, 519, 3017, 540, 575, 281, 476, 272, 269, 634, 8095, 630, 8527, 566, 264, 568, 6574, 693, 519, 20337, 540, 519, 3047, 855, 6971, 547, 4642, 693, 519, 18635, 269, 476, 273, 269, 1703, 568, 4439, 3101, 630, 305, 3436, 693, 519, 8998, 1040, 476, 274, 269, 634, 3773, 2527, 540, 519, 4439, 613, 5932, 811, 10231, 269, 476, 2412, 260, 540, 575, 7648, 910, 1813, 547, 519, 3017, 270, 19702, 725, 538, 519, 20085, 3337, 476, 2568, 260, 540, 575, 7648, 1107, 1813, 547, 519, 10047, 575, 568, 6027, 538, 544, 4882, 476, 273, 610, 7523, 1496, 476, 272, 7523, 815, 476, 1015, 910, 273, 20444, 910, 273, 9948, 25916, 531, 10231, 692, 294, 9545, 527, 1049, 15783, 543, 6052, 3400, 13901, 15783, 281, 15783, 540, 519, 3047, 630, 2102, 1968, 1106, 264, 910, 7274, 540, 1648, 602, 568, 2404, 609, 519, 2990, 540, 1770, 2527, 538, 519, 14965, 2361, 9502, 476, 272, 281, 634, 14965, 1761, 693, 513, 1448, 568, 3160, 547, 968, 17463, 892, 540, 519, 960, 676, 519, 14965, 3196, 607, 513, 9325, 540, 1770, 2527, 568, 4547, 689, 20581, 547, 922, 2990, 538, 519, 14965, 2361, 269, 9502, 476, 273, 281, 634, 14965, 1761, 693, 513, 1448, 568, 3160, 547, 519, 960, 676, 519, 5007, 3196, 607, 513, 9325, 540, 1770, 2527, 568, 4547, 689, 20581, 547, 922, 2990, 538, 519, 14965, 2361, 269, 1496, 544, 476, 274, 4846, 910, 272, 521, 910, 273, 4846, 544, 910, 272, 815, 544, 476, 273, 521, 910, 273, 9948, 610, 692, 294, 9545, 527, 1049, 15783, 543, 6052, 3400, 13901, 15783, 630, 3698, 1441, 585, 1770, 2527, 2567, 1496, 544, 476, 274, 4846, 910, 272, 521, 910, 273, 4846, 544, 910, 272, 815, 544, 476, 273, 521, 910, 273, 9948, 3400, 13901, 15783, 6052, 540, 513, 2527, 544, 630, 528, 544, 476, 273, 476, 2567, 1234, 548, 1078, 1761, 1648, 952, 2527, 544, 476, 273, 7575, 689, 533, 269, 272, 16868, 476, 272, 3738, 547, 533, 269, 273, 630, 337, 476, 273, 476, 2567, 3400, 13901, 10231, 281, 610, 692, 294, 9545, 527, 1049, 15783, 543, 6052, 3400, 13901, 10231, 2433, 4937, 1436, 910, 689, 476, 272, 5937, 547, 476, 274, 5937, 281, 1280, 513, 3892, 540, 13999, 544, 1775, 693, 7158, 678, 1775, 2433, 610, 910, 1280, 31208, 2572, 2711, 13999, 546, 332, 693, 7158, 678, 692, 22025, 1113, 540, 513, 1975, 17202, 26425, 634, 1761, 693, 513, 1448, 623, 693, 3845, 678, 689, 519, 8998, 744, 540, 513, 7387, 568, 281, 512, 1107, 11098, 540, 519, 7387, 536, 1107, 8953, 282, 19569, 366, 910, 5860, 282, 678, 910, 3845, 1879, 623, 568, 3544, 267, 519, 1761, 568, 519, 1482, 267, 607, 519, 2898, 2527, 568, 693, 1448, 744, 269, 1879, 623, 568, 3330, 267, 519, 1761, 568, 513, 1526, 267, 799, 568, 4830, 540, 2990, 540, 623, 281, 678, 513, 815, 476, 271, 3330, 519, 7387, 630, 320, 1107, 10231, 2020, 1432, 568, 1073, 17218, 838, 515, 5514, 286, 1323, 1073, 17218, 838, 515, 5514, 568, 513, 10047, 958, 21136, 14248, 760, 810, 573, 2348, 513, 8701, 7852, 10156, 982, 519, 8006, 540, 519, 20337, 658, 5858, 4171, 7077, 20312, 31637, 621, 269, 18379, 10364, 640, 281, 661, 24443, 640, 281, 3502, 519, 1482, 607, 2560, 1234, 3725, 681, 335, 305, 335, 681, 552, 3436, 681, 533, 535, 815, 476, 272, 270, 29218, 269, 26316, 692, 8967, 1877, 5288, 744, 4565, 622, 838, 515, 5514, 286, 535, 815, 476, 272, 270, 29218, 269, 26316, 968, 20238, 3780, 892, 540, 519, 1073, 17218, 838, 515, 5514, 281, 1107, 20173, 1280, 513, 3501, 12106, 1107, 519, 14965, 10231, 568, 519, 1482, 538, 1169, 1448, 593, 519, 2627, 540, 519, 12106, 269, 1280, 519, 3047, 2627, 713, 568, 711, 3020 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8245, 976, 267, 589, 269, 29892, 5100, 5288, 269, 4730, 2922, 281, 634, 4745, 4082, 540, 4307, 28437, 29010, 543, 1761, 914, 15949, 3101, 2066, 543, 1369, 8143, 5054, 269, 808, 269, 5345, 565, 269, 22776, 269, 476, 2767, 267, 476, 10441, 278, 1700, 10755, 277, 630, 1001, 275, 1916, 293, 13318, 611, 267, 645, 269, 1299, 808, 976, 5459, 267, 715, 269, 11790, 12018, 519, 6556, 540, 1159, 27117, 13847, 538, 16157, 269, 20918, 269, 808, 269, 18610, 342, 269, 1763, 269, 476, 4037, 267, 476, 4391, 1700, 4649, 630, 1220, 272, 1916, 11514, 518, 644, 267, 744, 269, 670, 1421, 13130, 541, 267, 918, 1421, 20913, 26856, 267, 590, 1421, 3794, 1478, 267, 918, 269, 589, 269, 1299, 4787, 320, 8403, 267, 3331, 502, 269, 18726, 1764, 540, 23012, 3484, 539, 9533, 13687, 593, 3552, 13687, 5095, 1765, 560, 9850, 476, 1001, 278, 269, 715, 2562, 288, 681, 1952, 269, 476, 15836, 278, 267, 476, 4649, 630, 1001, 278, 1916, 14157, 3149, 564, 267, 918, 269, 654, 269, 1696, 620, 269, 2052, 519, 5757, 4087, 1369, 513, 535, 329, 867, 2491, 519, 5860, 540, 9533, 13687, 543, 4262, 29607, 27085, 3057, 269, 22776, 269, 1763, 269, 476, 1015, 267, 476, 28803, 1700, 30116, 630, 1001, 275, 1916, 299, 659, 549, 1460, 267, 717, 269, 700, 1421, 12928, 2135, 267, 667, 269, 1299, 15966, 6324, 344, 267, 623, 269, 12186, 540, 5579, 5896, 546, 16244, 17974, 10141, 1562, 593, 11174, 9533, 13687, 269, 3690, 269, 2549, 269, 12551, 269, 17502, 269, 476, 15836, 267, 476, 21076, 1700, 13136, 630, 1220, 275, 1916, 6124, 2023, 267, 631, 269, 1696, 620, 269, 6496, 2450, 2339, 286, 589, 1449, 540, 2450, 10391, 9019, 538, 9533, 13687, 6428, 15879, 2892, 541, 1159, 565, 1206, 28562, 609, 17974, 10141, 1562, 269, 808, 269, 12551, 22776, 269, 476, 8660, 267, 476, 13932, 272, 1700, 13679, 271, 630, 1001, 277, 1916, 295, 753, 523, 267, 700, 269, 623, 1421, 4591, 332, 267, 631, 1421, 14208, 626, 267, 808, 269, 595, 269, 1299, 10496, 10849, 523, 267, 808, 269, 589, 269, 634, 14498, 540, 2022, 23337, 565, 1206, 540, 9533, 13687, 269, 769, 20363, 693, 519, 22750, 630, 539, 269, 24759, 267, 667, 4700, 476, 1839, 1700, 4375, 630, 14937, 6202, 3163, 13456, 1421, 476, 1220, 274, 264, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 273, 270, 7818, 271, 5325, 271, 4200, 276, 5392, 276, 26716, 275, 563, 294, 2958, 800, 267, 590, 269, 667, 269, 1696, 620, 269, 9533, 13687, 2132, 2557, 4679, 609, 1159, 27117, 3259, 269, 15096, 2464, 808, 269, 3057, 269, 2233, 269, 476, 10602, 267, 476, 10204, 273, 1700, 14378, 273, 630, 1001, 280, 1916, 289, 329, 21417, 337, 333, 267, 623, 269, 589, 269, 1696, 620, 269, 5450, 1712, 583, 341, 1731, 1782, 585, 936, 341, 18033, 330, 940, 522, 326, 10213, 1285, 561, 752, 1088, 639, 533, 18033, 642, 559, 1479, 341, 29868, 561, 752, 572, 325, 7416, 281, 661, 330, 560, 1778, 985, 1846, 1775, 476, 1001, 271, 1199, 4571, 2401, 9808, 674, 28474, 269, 630, 1001, 272, 1916, 305, 13704, 267, 654, 269, 667, 269, 1696, 620, 269, 4886, 540, 18375, 7180, 1282, 519, 19654, 9194, 540, 9533, 13687, 6428, 15879, 2892, 541, 1159, 565, 1206, 538, 513, 25879, 6908, 281, 4886, 540, 18375, 538, 6428, 15879, 2892, 541, 1159, 565, 1206, 269, 808, 269, 12551, 22776, 269, 476, 5952, 267, 476, 10441, 273, 1700, 10755, 280, 630, 1001, 275, 1916, 25405, 1408, 338, 267, 808, 1421, 27659, 2023, 267, 590, 1421, 5680, 828, 267, 667, 269, 1299, 29336, 267, 808, 269, 6987, 550, 540, 32456, 9186, 1459, 538, 9194, 6668, 543, 12557, 540, 9533, 13687, 1159, 27117, 630, 21946, 15879, 2892, 541, 264, 607, 6700, 676, 513, 3209, 17974, 11090, 269, 1323, 574, 269, 4437, 1774, 548, 11496, 476, 278, 267, 476, 1626, 630, 1001, 280, 1916, 295, 531, 1777, 684, 523, 267, 661, 269, 1696, 620, 269, 24779, 540, 9533, 13687, 2022, 23337, 565, 1206, 538, 513, 535, 329, 867, 609, 1164, 23588, 2604, 540, 13687, 561, 823, 269, 3057, 269, 661, 3712, 269, 4273, 269, 5395, 269, 476, 30020, 267, 476, 25838, 1700, 16348, 630, 1001, 279, 1916, 19604, 3272, 267, 589, 269, 595, 269, 1696, 620, 269, 769, 2536, 2590, 9533, 13687, 2022, 23337, 27117, 9194, 3270, 1210, 4719, 7084, 269, 681, 269, 17502, 269, 7046, 2233, 269, 476, 277, 267, 476, 5002, 275, 2918, 630, 1001, 280, 1916, 763, 4589, 1131, 899, 547, 9684, 519, 5757, 268, 26782, 779, 3906, 538, 782, 8933, 267, 607, 1134, 607, 782, 29867, 3549, 1459, 538, 519, 4525, 585, 14123, 938, 960, 543, 519, 3937, 17293, 269, 589, 1804, 1297, 540, 1004, 8329, 1282, 519, 2361, 1740, 267, 513, 2462, 9684, 596, 547, 782, 540, 873, 269, 634, 1353, 729, 5342, 607, 513, 851, 540, 1079, 1279, 3856, 2090, 593, 13687, 1749, 281, 918, 6369, 13697, 543, 20363, 9199, 9535, 476, 1708, 271, 269, 634, 5449, 568, 14102, 676, 6019, 17135, 540, 966, 652, 1633, 267, 2349, 558, 674, 529, 651, 31463, 323, 21884, 6789, 267, 20918, 325, 329, 867, 700, 6545, 6789, 267, 631, 578, 328, 6789, 267, 11076, 1530, 2378, 797, 6789, 267, 17286, 26684, 6789, 267, 20918, 325, 329, 867, 674, 832, 21417, 802, 560, 553, 329, 517, 6789, 543, 661, 573, 543, 853, 787, 333, 5757, 8227, 3906, 543, 519, 8545, 568, 14102, 676, 18161, 274, 270, 275, 31311, 985, 330, 2355, 1074, 889, 1807, 543, 674, 295, 293, 1765, 301, 528, 19886, 1530, 2378, 797, 3194, 8750, 630, 3445, 272, 276, 4037, 1916, 763, 4589, 17551, 1100, 12721, 4690, 563, 306, 1440, 5424, 7186, 3788, 9243, 609, 2543, 547, 11758, 12302, 6811, 538, 3370, 7851, 543, 12250, 28930, 725, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 289, 329, 518, 1188, 267, 670, 11065, 1421, 7984, 651, 267, 670, 6993, 1421, 670, 879, 2102, 267, 570, 20166, 269, 1696, 620, 269, 14271, 11388, 344, 543, 1617, 574, 617, 1275, 538, 519, 12557, 540, 9533, 13687, 1159, 27117, 9194, 538, 1079, 21785, 535, 329, 3581, 269, 2233, 3115, 476, 1556, 267, 476, 20981, 275, 630, 1708, 272, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 279, 4882, 25870, 7176, 268, 28512, 268, 5952, 280, 6078, 268, 280, 0, 310, 4953, 631, 21135, 5058, 631, 21815, 12114, 454, 24979, 5241, 568, 2944, 538, 1931, 547, 2569, 2450, 585, 2653, 4393, 540, 1804, 13355, 2326, 269, 634, 11493, 1184, 538, 519, 17865, 654, 4770, 7412, 568, 1500, 676, 6632, 17819, 1184, 547, 2327, 602, 13897, 3330, 1570, 568, 6534, 269, 634, 4229, 4294, 538, 519, 11493, 1184, 616, 606, 1764, 267, 13496, 267, 11493, 267, 5969, 543, 11508, 563, 2171, 616, 2966, 519, 6632, 17819, 3684, 538, 1931, 547, 1683, 23930, 540, 7452, 538, 1360, 18660, 6070, 971, 607, 4224, 6070, 269, 0, 19465, 589, 24344, 29942, 8416, 454, 763, 8560, 540, 476, 26764, 269, 1556, 12616, 29135, 338, 630, 310, 28356, 338, 264, 786, 1011, 1712, 538, 4947, 1296, 585, 9746, 267, 1753, 267, 543, 1857, 3905, 1606, 13607, 5054, 1765, 810, 1279, 607, 5561, 1745, 8746, 602, 654, 28356, 338, 616, 4357, 543, 5150, 269, 4595, 1022, 654, 28356, 3354, 5821, 666, 2800, 519, 10639, 540, 519, 3003, 12616, 13033, 2872, 267, 3025, 814, 513, 7196, 538, 1028, 1005, 513, 1164, 1377, 540, 3354, 563, 7212, 519, 3354, 10873, 543, 6127, 616, 2139, 267, 2705, 267, 1034, 654, 28356, 338, 616, 711, 2943, 6870, 269, 4197, 519, 2152, 3238, 568, 519, 1101, 1900, 538, 8236, 519, 2556, 4027, 269, 901, 3043, 1957, 6257, 519, 3354, 2409, 2139, 2221, 267, 689, 4587, 10873, 602, 723, 16426, 547, 519, 18960, 10873, 602, 1683, 519, 3354, 5561, 3747, 269, 901, 1957, 849, 3947, 16183, 4592, 685, 7840, 585, 17516, 654, 28356, 338, 538, 1585, 3871, 563, 8923, 771, 762, 1022, 1402, 5346, 3625, 619, 585, 1697, 13156, 540, 713, 18724, 788, 1653, 269, 0, 274, 2904, 568, 4767, 607, 513, 2622, 4964, 15213, 4303, 1169, 1032, 538, 519, 1158, 269, 634, 1554, 568, 849, 1634, 607, 2622, 4964, 4303, 269, 634, 2622, 4964, 15213, 4303, 849, 17188, 24744, 547, 20859, 945, 723, 4503, 741, 2729, 269, 1358, 1981, 741, 2729, 693, 2053, 610, 949, 1256, 723, 547, 3068, 9157, 3871, 538, 1931, 547, 3142, 519, 3377, 689, 1114, 15174, 540, 519, 1158, 538, 4395, 540, 519, 1857, 563, 763, 1889, 585, 476, 1708, 272, 2622, 4964, 15213, 4303, 968, 22033, 607, 513, 5398, 6153, 9731, 763, 6249, 568, 540, 14849, 10083, 547, 782, 2477, 1472, 519, 1158, 269, 898, 17767, 519, 4657, 10618, 1062, 602, 568, 18363, 938, 1072, 267, 938, 1480, 2924, 267, 1629, 31097, 543, 4264, 1646, 563, 763, 2136, 8315, 4937, 13909, 3964, 2622, 15213, 4303, 538, 519, 1032, 476, 1960, 274, 547, 3895, 519, 7115, 540, 519, 4000, 4964, 269, 901, 729, 4553, 676, 519, 6489, 14833, 2131, 16672, 602, 729, 3964, 547, 2226, 519, 1863, 2046, 269, 1306, 519, 17083, 729, 1500, 593, 519, 476, 274, 6113, 540, 2904, 267, 8754, 519, 2027, 1554, 568, 4767, 1142, 1032, 593, 476, 274, 6113, 2904, 563, 274, 2904, 2622, 4964, 15213, 4303 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 257, 5353, 698, 337, 13293, 616, 15496, 2371, 602, 2661, 24760, 538, 30644, 1216, 543, 1685, 4105, 5117, 2533, 602, 948, 721, 543, 519, 1426, 32734, 2125, 602, 7048, 593, 873, 269, 1280, 1383, 267, 694, 698, 337, 13293, 7001, 543, 4558, 811, 11626, 3327, 630, 704, 1770, 1858, 264, 982, 1082, 18714, 2371, 267, 789, 957, 607, 21543, 2127, 585, 1271, 13278, 344, 2249, 267, 543, 1683, 9381, 4027, 1996, 1919, 899, 11761, 543, 7088, 1147, 2471, 2437, 3220, 24138, 21942, 563, 7804, 24138, 21942, 3367, 5384, 281, 476, 275, 866, 1913, 827, 476, 274, 3764, 269, 589, 21224, 2845, 3455, 3650, 14854, 630, 22512, 1777, 320, 1416, 1777, 320, 264, 609, 28561, 8163, 3395, 593, 1200, 2212, 269, 17421, 281, 24138, 21942, 269, 769, 5988, 476, 1001, 277, 267, 513, 4775, 2845, 3455, 3650, 4262, 14854, 29805, 2048, 11321, 31846, 685, 1185, 513, 9682, 31092, 7923, 547, 1200, 7387, 593, 513, 11824, 5045, 540, 1401, 17625, 267, 5375, 5245, 676, 519, 717, 333, 541, 531, 5622, 19069, 30385, 2639, 7804, 24138, 21942, 3367, 5384, 281, 476, 2004, 274, 1913, 827, 476, 274, 3764, 269, 634, 2360, 540, 5046, 268, 866, 593, 519, 1158, 814, 1044, 7096, 269, 1284, 2811, 1631, 556, 3887, 1998, 15070, 954, 32744, 267, 4123, 543, 2123, 3347, 267, 543, 556, 628, 9722, 938, 7082, 2115, 269, 7025, 2516, 723, 1044, 8716, 1004, 547, 1412, 324, 520, 811, 3165, 262, 538, 3210, 547, 713, 6855, 269, 19901, 12220, 1282, 519, 6855, 723, 849, 12006, 30385, 316, 0, 5445, 2461, 3833, 1455, 267, 2523, 538, 12256, 543, 1762, 1453, 267, 543, 789, 723, 513, 2647, 2039, 540, 3123, 269, 6884, 267, 17465, 616, 15427, 676, 513, 2068, 610, 5945, 267, 855, 585, 1034, 1453, 267, 972, 568, 1100, 3713, 762, 2014, 269, 6884, 824, 2175, 267, 971, 607, 535, 31021, 610, 8482, 267, 666, 1413, 899, 17465, 563, 1692, 798, 596, 917, 952, 707, 4816, 568, 2348, 513, 23069, 888, 7312, 4816, 949, 17570, 267, 12154, 527, 267, 1831, 12779, 267, 543, 1995, 838, 553, 916, 610, 6551, 7190, 538, 835, 4887, 1895, 267, 971, 607, 11263, 267, 7916, 267, 610, 7953, 269, 1411, 949, 849, 7747, 575, 698, 3101, 267, 9067, 1159, 22326, 267, 3458, 5446, 267, 24986, 267, 543, 2530, 540, 9637, 269, 12559, 775, 630, 7065, 527, 4731, 264, 17465, 269, 2659, 4816, 5526, 547, 581, 31325, 883, 2230, 610, 1554, 323, 3195, 532, 563, 1692, 1455, 616, 19341, 17465, 888, 5353, 714, 999, 2049, 538, 476, 271, 269, 276, 260, 540, 2165, 12256, 543, 476, 2420, 269, 273, 260, 540, 840, 3410, 12256, 267, 1498, 19341, 17465, 616, 1360, 4686, 630, 275, 268, 278, 1040, 3026, 517, 7614, 17465, 616, 2808, 1271, 30661, 540, 11719, 545, 3676, 543, 519, 23567, 5673, 593, 1896, 2188, 630, 279, 1916, 1432, 666, 9594, 513, 23069, 538, 513, 1126, 888, 12179, 2251, 602, 14443, 338, 519, 3339, 4296, 1063, 8229, 2281, 538, 519, 2634, 666, 2014, 513, 23069, 269, 901, 2882, 513, 1164, 8611, 267, 1164, 610, 1970, 1973, 4006, 267, 4568, 610, 3075, 15639, 267, 610, 513, 2634, 6677, 15664, 269, 1809, 950, 513, 1126, 814, 476, 273, 610, 811, 17465, 609, 1100, 1634, 2014, 267, 713, 568, 8995, 607, 20560, 563, 2710, 4816, 17465, 979, 2476, 888, 763, 19773, 585, 513, 1126, 609, 22480, 22686, 30564, 17465, 568, 1732, 982, 585, 1453, 609, 31916, 30564, 17465, 269, 769, 1034, 2665, 267, 519, 17465, 979, 2476, 676, 519, 942, 519, 1126, 568, 476, 1626, 3275, 2025, 269, 6168, 476, 1556, 260, 540, 1453, 979, 593, 547, 1020, 824, 2010, 540, 17465, 563, 1432, 798, 596, 798, 952, 707, 4816, 814, 513, 23069, 888, 1432, 547, 1684, 952, 2659, 4132, 13201, 513, 1530, 714, 675, 912, 268, 28528, 1747, 707, 1126, 593, 519, 6989, 610, 2666, 267, 543, 4894, 1022, 7404, 3615, 563, 268, 20233, 707, 1126, 593, 1010, 610, 1200, 2427, 547, 2061, 669, 3183, 593, 19975, 630, 4944, 527, 1916, 268, 1403, 707, 1126, 12154, 1080, 267, 2312, 856, 519, 5023, 9900, 609, 707, 9416, 563, 268, 10753, 4923, 1022, 7802, 1472, 519, 2212, 610, 8405, 563, 4692, 513, 23069, 2800, 513, 21565, 888, 5353, 714, 999, 1282, 6379, 666, 2014, 281, 20405, 532, 540, 519, 19341, 2295, 2557, 269, 28206, 1078, 5135, 547, 519, 21565, 269, 674, 13926, 5945, 267, 16349, 9668, 540, 519, 30302, 689, 519, 19786, 630, 680, 659, 1581, 705, 8306, 264, 610, 31761, 1813, 547, 8194, 267, 971, 607, 513, 2887, 267, 1282, 513, 23069, 563, 3674, 621, 3339, 585, 4816, 547, 21199, 538, 27042, 888, 4263, 2053, 267, 811, 8966, 5322, 6148, 5433, 269, 1452, 1331, 16625, 24754, 554, 27364, 5725, 676, 519, 4816, 267, 543, 513, 6727, 968, 3333, 1136, 892, 3361, 676, 519, 4816, 779, 1378, 1376, 548, 3210, 563, 4692, 9002, 723, 17465, 538, 741, 3207, 888, 5591, 24856, 17465, 538, 12256, 543, 1762, 1453, 454, 29261, 540, 1007, 12256, 3006, 25657, 513, 2783, 1572, 22480, 30564, 3207, 1250, 16438, 517, 639, 609, 20560, 269, 5606, 1218, 7680, 1250, 16438, 517, 639, 723, 32246, 28478, 6362, 602, 1419, 5654, 899, 513, 23069, 563, 1692, 666, 594, 2061, 1250, 4816, 689, 2348, 17465, 888, 20278, 519, 1126, 593, 513, 2571, 2627, 267, 971, 607, 513, 5127, 269, 16473, 669, 3183, 676, 18413, 519, 1126, 593, 1010, 610, 1200, 2427, 610, 7181, 269, 3550, 602, 519, 1126, 568, 7244, 18113, 269, 8550, 1747, 4376, 538, 519, 1126, 779, 5023, 1282, 513, 5996, 13955, 563, 4692, 23069, 581, 23174, 888, 9213, 267, 1034, 20560, 568, 5701, 609, 6646, 269, 24391, 798, 711, 10826, 20560, 267, 855, 789, 666, 1419, 1852, 17465, 1360, 1134, 269, 6168, 476, 3199, 260, 540, 1004, 609, 20560, 2221, 723, 741, 17465, 6417, 676, 6646, 693, 2547, 930, 540, 519, 942, 269, 2986, 1576, 267, 602, 1797, 602, 476, 736, 260, 540, 1004, 609, 20560, 616, 711, 5280, 676, 6646, 563, 1432, 1281, 513, 1126, 23069, 1413, 899, 888, 13349, 4191, 540, 513, 23069, 1331, 281, 2349, 1678, 31325, 269, 4762, 4310, 4633, 269, 13809, 540, 9637, 563, 4692, 7641, 2014, 17465, 538, 9002, 888, 5938, 7697, 568, 519, 1034, 1455, 23069, 17003, 267, 855, 1022, 2707, 540, 31300, 1359, 1769, 267, 971, 607, 1769, 31300, 1359, 998, 4054, 267, 666, 28596, 513, 23069, 269, 634, 14887, 519, 31300, 518, 267, 519, 811, 2693, 621, 568, 547, 2014, 17465, 563, 3963, 1131, 513, 20169, 4816, 723, 17465, 888, 10468, 517, 7614, 17465, 723, 513, 3099, 540, 3123, 269, 1452, 1331, 281, 19768, 540, 5135, 1354, 610, 1282, 4332, 1813, 547, 726, 659, 1581, 705, 8306, 630, 2181, 332, 1155, 1033, 16670, 540, 519, 30302, 689, 519, 19786, 1070, 513, 2352, 610, 12675, 4074, 267, 610, 13496, 540, 519, 16813, 559, 673, 10260, 269, 0, 31359, 3835, 5253, 769, 9798, 568, 23105, 609, 7201, 19256, 1851, 12729, 3427, 5753, 538, 1520, 523, 17135, 622, 267, 29874, 454, 15933, 22584, 568, 3335, 5532, 609, 896, 19256, 269, 1717, 267, 972, 568, 2370, 3370, 1239, 2139, 593, 519, 7681, 1063, 7622, 1426, 22584, 543, 896, 19256, 4567, 540, 519, 3119, 1153, 1453, 9907, 476, 277, 1700, 1321, 1296, 538, 1520, 523, 267, 29874, 269, 634, 3483, 540, 713, 1382, 729, 547, 20272, 519, 7681, 1063, 7622, 1426, 22584, 543, 519, 896, 19256, 4567, 540, 519, 1453, 269, 589, 3444, 22891, 1353, 729, 5645, 856, 1851, 3119, 1153, 1453, 689, 9344, 594, 547, 17886, 538, 519, 2229, 3506, 630, 333, 284, 30589, 1040, 589, 2241, 18102, 267, 3068, 3562, 19904, 5967, 609, 3237, 267, 543, 7101, 25534, 14727, 1941, 749, 14000, 543, 1426, 22584, 1907, 941, 8246, 585, 519, 1239, 4015, 269, 19848, 6248, 7403, 630, 7076, 1299, 4463, 264, 540, 519, 1453, 941, 849, 6592, 269, 16270, 2079, 267, 476, 3583, 260, 540, 519, 23500, 1453, 3357, 689, 513, 1426, 5150, 7622, 267, 15029, 476, 1789, 260, 4810, 930, 1826, 540, 1426, 22584, 269, 4065, 1377, 540, 519, 4651, 630, 335, 283, 271, 269, 6734, 1070, 7694, 540, 519, 3993, 630, 335, 283, 271, 269, 876, 1070, 2949, 7622, 4747, 630, 335, 283, 271, 269, 4905, 1070, 4747, 829, 21027, 630, 335, 283, 271, 269, 4905, 264, 543, 1297, 540, 2324, 7606, 829, 7622, 630, 335, 283, 271, 269, 876, 264, 941, 782, 1713, 4632, 2404, 609, 1426, 22584, 1851, 891, 10820, 269, 11778, 849, 4951, 602, 519, 4908, 540, 896, 7076, 267, 25224, 532, 543, 27830, 1851, 519, 1453, 729, 476, 866, 9077, 476, 1704, 260, 543, 476, 1015, 9077, 6606, 269, 31056, 12205, 941, 1336, 1063, 7622, 1426, 22584, 543, 519, 1533, 540, 1373, 896, 7076, 267, 25224, 532, 543, 27830, 269, 12830, 569, 267, 519, 7681, 1063, 7622, 1426, 22584, 543, 896, 19256, 4567, 4797, 1256, 1310, 16369, 585, 1713, 4632, 269, 769, 3932, 267, 7622, 1426, 22584, 729, 3648, 2404, 609, 896, 19256, 4567, 540, 519, 3119, 1153, 1453, 538, 1520, 523, 779, 17135, 622, 267, 29874, 563, 15648, 630, 322, 264, 476, 1708, 272, 808, 19012, 717, 714, 328, 15854, 623, 22462, 454, 1607, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 27691, 732, 2704, 833, 476, 275, 269, 271, 4139, 17821, 563, 288, 18308, 945, 15476, 609, 713, 4760, 3858, 547, 519, 1739, 713, 2165, 912, 288, 18308, 26446, 22251, 1058, 1174, 543, 3858, 602, 10677, 540, 22251, 540, 519, 2376, 4927, 581, 8655, 270, 10520, 31084, 547, 808, 19012, 717, 714, 328, 15854, 623, 22462, 269, 634, 3948, 547, 5305, 519, 10677, 547, 808, 19012, 717, 714, 328, 15854, 623, 22462, 568, 7150, 538, 22439, 15048, 14594, 269, 901, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 27691, 732, 2704, 833, 476, 275, 269, 271, 4139, 17821, 630, 6717, 15760, 4149, 288, 264, 1141, 22439, 543, 22419, 666, 5299, 543, 23799, 25572, 519, 1570, 538, 1022, 5420, 610, 3898, 267, 607, 1134, 607, 1121, 1460, 267, 2981, 267, 543, 1628, 2390, 519, 1570, 585, 1022, 3483, 267, 855, 789, 1590, 2285, 3617, 5491, 630, 322, 924, 547, 519, 2376, 610, 1543, 1070, 1683, 513, 3095, 547, 519, 12689, 267, 543, 5815, 952, 2242, 941, 1500, 269, 1403, 596, 1121, 1460, 267, 2981, 267, 610, 1628, 2390, 519, 1570, 267, 596, 1590, 15814, 707, 7418, 896, 519, 1482, 12689, 607, 519, 3312, 269, 0, 5719, 321, 6064, 532, 14868, 543, 2228, 4008, 32616, 673, 7180, 454, 21609, 10312, 568, 519, 32068, 927, 680, 710, 585, 513, 10930, 4950, 269, 1656, 649, 5469, 538, 938, 5515, 267, 855, 849, 1346, 540, 1866, 267, 602, 4008, 3613, 699, 12111, 539, 7180, 1869, 814, 606, 11999, 1764, 593, 2228, 2792, 1063, 1762, 1004, 269, 6056, 540, 2048, 16435, 583, 1606, 5069, 532, 685, 543, 2577, 334, 7180, 540, 8695, 2507, 11531, 267, 649, 1294, 602, 8695, 616, 849, 3006, 9601, 540, 32616, 539, 7180, 267, 855, 616, 1447, 2693, 547, 3343, 948, 610, 2911, 827, 741, 4606, 2507, 2755, 1034, 4648, 786, 5431, 891, 2152, 267, 789, 1419, 798, 711, 917, 875, 547, 2746, 269, 901, 10554, 786, 4431, 547, 713, 991, 267, 5356, 6405, 2645, 547, 960, 3927, 593, 519, 1888, 269, 0, 268, 1215, 568, 1239, 9633, 532, 2944, 888, 268, 1548, 568, 1239, 9633, 532, 538, 6538, 888, 268, 1548, 568, 18351, 1436, 543, 875, 1281, 621, 960, 888, 268, 1548, 568, 519, 3119, 1505, 540, 7863, 6213, 1239, 888, 268, 1548, 568, 9633, 539, 543, 29267, 24216, 1239, 888, 268, 1879, 1131, 596, 946, 1239, 9633, 532, 888, 268, 1548, 568, 1239, 15410, 1154, 888, 268, 1215, 798, 596, 9633, 6213, 1239, 888, 268, 1548, 568, 1239, 9633, 532, 543, 875, 621, 1568, 888, 268, 1548, 568, 9633, 532, 543, 922, 2010, 888, 268, 1548, 568, 1239, 9633, 532, 538, 26057, 888, 268, 1772, 1239, 9633, 532, 31181, 888, 268, 1548, 568, 519, 3017, 1063, 14238, 543, 1239, 9633, 532, 888, 268, 1548, 1281, 621, 1611, 547, 570, 7505, 1125, 1239, 888, 268, 1548, 568, 513, 9633, 539, 3758, 888, 268, 1215, 798, 596, 1244, 5966, 1125, 1239, 888, 268, 1548, 568, 519, 3017, 1063, 1239, 9633, 532, 543, 18351, 1436, 888, 1692, 568, 1239, 9633, 532, 2944, 888, 10574, 9633, 532, 568, 25848, 1005, 6213, 1344, 1369, 707, 2504, 6538, 563, 10574, 26422, 23438, 4578, 631, 27965, 666, 581, 2944, 2901, 2493, 1227, 610, 29858, 563, 2414, 1685, 11979, 1239, 9633, 532, 267, 621, 568, 2838, 547, 1118, 513, 18187, 320, 540, 513, 6538, 9838, 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, 320, 815, 1496, 842, 3287, 264, 585, 1535, 538, 3403, 14061, 20889, 3890, 2639, 343, 30381, 314, 271, 30092, 344, 30381, 314, 272, 30092, 343, 815, 1535, 9745, 586, 282, 3097, 344, 815, 1535, 9745, 586, 282, 3097, 343, 815, 1535, 9745, 586, 3248, 2745, 3287, 11971, 994, 0, 5814, 21795, 607, 19073, 454, 5814, 5895, 7531, 258, 1341, 692, 3698, 26417, 15461, 8217, 1993, 5263, 9638, 987, 2187, 825, 8173, 825, 901, 1599, 4991, 519, 2619, 547, 26417, 6119, 267, 14509, 782, 519, 26417, 6119, 538, 267, 17838, 873, 547, 1239, 325, 29707, 267, 3097, 825, 8591, 1253, 878, 16182, 607, 513, 6241, 543, 17990, 873, 538, 513, 1592, 22562, 825, 30352, 454, 825, 28612, 955, 8894, 825, 2619, 281, 634, 2619, 547, 11483, 309, 6119, 22562, 8931, 825, 8173, 825, 6119, 815, 5895, 3052, 331, 984, 9638, 987, 1341, 834, 11138, 257, 1341, 834, 29688, 322, 12364, 5602, 825, 17093, 8217, 815, 11713, 825, 585, 3758, 538, 6119, 912, 1038, 8664, 16182, 815, 3758, 21858, 2891, 11138, 8442, 15631, 272, 4940, 20889, 2891, 1701, 25011, 271, 2639, 1038, 17093, 815, 19073, 18667, 32269, 31526, 994, 1038, 17093, 14277, 23251, 2774, 16182, 19312, 815, 1496, 23251, 2774, 16182, 316, 2608, 7003, 29254, 994, 1038, 17093, 8217, 6910, 29254, 994, 8931, 825, 2132, 17093, 8217, 454, 672, 7531, 0, 3698, 14721, 10031, 825, 14721, 7272, 817, 5320, 6831, 3300, 815, 476, 271, 454, 825, 1247, 6936, 912, 1038, 14721, 7272, 817, 5320, 815, 3403, 2891, 921, 848, 4283, 519, 10957, 281, 19515, 1038, 952, 14721, 7272, 817, 5320, 2652, 834, 11277, 275, 13426, 2018, 1820, 2891, 17739, 11815, 2740, 5602, 2018, 14721, 318, 9953, 687, 263, 272, 994, 2018, 2736, 454, 1038, 8640, 14721, 7272, 817, 5320, 11203, 834, 11277, 275, 13426, 2018, 14721, 7272, 817, 5320, 6831, 3300, 815, 14721, 7272, 817, 5320, 6831, 3300, 1341, 476, 272, 454, 2018, 1820, 2891, 342, 3994, 10957, 5602, 1038, 952, 14721, 7272, 817, 5320, 6831, 3300, 2652, 476, 274, 912, 2018, 1820, 2891, 310, 3994, 10426, 5320, 3590, 12910, 3990, 5602, 2018, 14827, 30800, 3698, 14721, 318, 9953, 687, 9638, 817, 5320, 318, 13765, 2187, 825, 952, 10957, 318, 13765, 2652, 476, 272, 912, 1038, 1247, 6936, 912, 2018, 4781, 815, 3403, 18692, 3546, 834, 1492, 5903, 540, 3681, 24097, 333, 28843, 13117, 4499, 2525, 284, 9563, 315, 333, 2006, 720, 2550, 281, 476, 272, 14826, 2006, 720, 7189, 281, 476, 273, 14826, 1504, 606, 13393, 281, 476, 274, 315, 10811, 527, 689, 14721, 7154, 476, 275, 281, 19515, 2018, 952, 4781, 2652, 1412, 272, 12466, 3546, 4383, 318, 6312, 1801, 4590, 2018, 8640, 4781, 2652, 1412, 273, 12466, 3546, 4383, 318, 4777, 4701, 4590, 2018, 8640, 4781, 2652, 1412, 274, 12466, 3546, 1433, 532, 4590, 2018, 8640, 4781, 2652, 1412, 275, 12466, 3546, 2736, 454, 825, 8640, 10957, 318, 13765, 11203, 476, 272, 912, 1038, 1820, 2891, 8253, 4847, 5602, 1038, 14827, 30800, 3698, 4383, 318, 6312, 1801, 10031, 825, 1247, 6936, 912, 1038, 4383, 318, 6312, 1801, 318, 641, 5406, 815, 3403, 18692, 2018, 834, 921, 848, 4283, 1018, 596, 1616, 547, 798, 14826, 28843, 13117, 7529, 284, 9563, 315, 333, 5417, 3461, 476, 272, 24097, 2740, 527, 3461, 476, 273, 24097, 526, 324, 8541, 3461, 476, 274, 24097, 333, 1613, 476, 275, 24097, 333, 3724, 476, 276, 24097, 333, 5602, 1038, 952, 4383, 318, 6312, 1801, 318, 641, 5406, 2652, 1412, 272, 12466, 2018, 4383, 318, 6312, 1801, 318, 5417, 318, 2908, 318, 18345, 4590, 1038, 8640, 4383, 318, 6312, 1801, 318, 641, 5406, 2652, 1412, 273, 12466, 2018, 4383, 318, 6312, 1801, 318, 539, 527, 318, 18345, 4590, 1038, 8640, 4383, 318, 6312, 1801, 318, 641, 5406, 2652, 1412, 274, 12466, 2018, 4383, 318, 6312, 1801, 318, 1372, 8541, 318, 18345, 4590, 1038, 8640, 4383, 318, 6312, 1801, 318, 641, 5406, 2652, 1412, 275, 12466, 2018, 4383, 318, 6312, 1801, 318, 1613, 318, 18345, 4590, 1038, 8640, 4383, 318, 6312, 1801, 318, 641, 5406, 2652, 1412, 276, 12466, 2018, 2736, 7531, 3698, 4383, 318, 6312, 1801, 318, 5417, 318, 2908, 318, 18345, 10031, 825, 3461, 8217, 815, 1496, 14085, 30297, 280, 454, 825, 3758, 815, 1930, 3488, 6312, 1801, 8217, 17902, 3299, 1412, 337, 266, 5073, 825, 1247, 6936, 912, 1038, 10917, 318, 18345, 16182, 815, 1193, 9272, 2891, 921, 848, 4283, 513, 1007, 3461, 9517, 281, 27328, 1038, 1336, 815, 1412, 271, 7055, 1038, 585, 1775, 267, 1899, 538, 26246, 31526, 2187, 2018, 10917, 23952, 815, 1899, 14714, 8692, 4590, 2018, 10917, 8217, 815, 10917, 23952, 21858, 3488, 318, 3299, 476, 280, 994, 2018, 952, 1193, 14714, 8692, 6025, 11391, 8217, 314, 271, 8079, 2652, 1193, 6025, 11391, 318, 18345, 16182, 2187, 3546, 1336, 815, 1412, 272, 7055, 3546, 2736, 454, 1038, 952, 1336, 2652, 1412, 271, 12466, 2018, 2736, 454, 1038, 3758, 269, 572, 2131, 263, 271, 267, 476, 271, 994, 825, 21635, 815, 22373, 23430, 281, 476, 14307, 834, 7804, 269, 2012, 281, 14307, 834, 15031, 1304, 2012, 281, 834, 2676, 4449, 834, 720, 281, 14307, 834, 14054, 281, 14307, 834, 11754, 816, 281, 14307, 834, 305, 7112, 281, 14307, 834, 14367, 17017, 16448, 281, 834, 2639, 825, 3461, 8217, 314, 271, 316, 815, 10917, 318, 18345, 16182, 454, 825, 3758, 22182, 19629, 333, 5602, 825, 3758, 22182, 263, 18345, 8217, 314, 271, 7481, 825, 585, 1775, 538, 2039, 263, 271, 267, 476, 279, 2187, 1038, 1820, 2891, 921, 848, 4283, 2580, 21635, 5157, 7481, 1038, 3461, 8217, 5157, 316, 815, 834, 318, 257, 266, 6358, 4590, 1038, 3758, 22182, 263, 18345, 8217, 5157, 20285, 825, 3758, 25379, 30800, 3698, 4383, 318, 6312, 1801, 318, 539, 527, 318, 18345, 3890, 1384, 825, 3758, 815, 1930, 3488, 6312, 1801, 8217, 17902, 3299, 1412, 337, 266, 5073, 825, 10917, 318, 18345, 16182, 815, 1193, 18692, 1038, 3403, 2891, 921, 848, 4283, 519, 3461, 9517, 596, 1616, 547, 12575, 281, 27328, 825, 1247, 6936, 912, 1038, 1336, 815, 1412, 271, 7055, 1038, 585, 1775, 267, 1899, 538, 26246, 31526, 2187, 2018, 10917, 23952, 815, 1899, 14714, 8692, 4590, 2018, 10917, 8217, 815, 10917, 23952, 21858, 3488, 318, 3299, 476, 280, 994, 2018, 952, 1193, 14714, 8692, 6025, 11391, 8217, 314, 271, 8079, 2652, 1193, 6025, 11391, 318, 18345, 16182, 2187, 3546, 18419, 15305, 6025, 11391, 23952, 994, 3546, 1820, 2891, 1492, 3461, 596, 1616, 547, 12575, 281, 834, 1341, 10917, 23952, 994, 3546, 1535, 815, 3403, 2891, 10938, 519, 4636, 1871, 602, 2115, 547, 581, 4957, 281, 5602, 3546, 586, 815, 3403, 2891, 10938, 519, 1318, 1871, 602, 281, 19515, 3546, 1948, 10917, 8217, 18622, 2897, 3287, 267, 586, 994, 3546, 10917, 8217, 314, 31184, 8217, 28827, 19304, 14714, 8692, 3287, 4297, 316, 815, 1193, 12169, 994, 3546, 3758, 22182, 28361, 333, 5073, 3546, 1820, 6025, 11391, 8217, 994, 3546, 585, 1775, 538, 2039, 263, 271, 267, 476, 280, 2187, 7386, 10917, 272, 815, 10917, 8217, 5157, 27994, 257, 318, 4840, 7386, 3758, 22182, 6025, 11391, 272, 994, 3546, 2736, 454, 3546, 1336, 815, 1412, 272, 7055, 3546, 2736, 454, 1038, 952, 1336, 2652, 1412, 271, 12466, 2018, 2736, 454, 1038, 3758, 269, 572, 2131, 263, 271, 267, 476, 271, 994, 825, 3758, 25379, 4590, 825, 1820, 2891, 28843, 7529, 2525, 539, 1243, 7529, 2525, 9563, 257, 9239, 3698, 4383, 318, 6312, 1801, 318, 1372, 8541, 318, 18345, 3890, 1384, 825, 3758, 815, 1930, 3488, 6312, 1801, 8217, 17902, 3299, 1412, 337, 266, 5073, 825, 10917, 318, 18345, 16182, 815, 1193, 18692, 1038, 3403, 2891, 921, 848, 4283, 519, 3461, 9517, 596, 1616, 547, 18419, 281, 27328, 825, 1247, 6936, 912, 1038, 1336, 815, 1412, 271, 7055, 1038, 585, 1775, 267, 1899, 538, 26246, 31526, 2187, 2018, 10917, 23952, 815, 1899, 14714, 8692, 4590, 2018, 10917, 8217, 815, 10917, 23952, 21858, 3488, 318, 3299, 476, 280, 994, 2018, 952, 1193, 14714, 8692, 6025, 11391, 8217, 314, 271, 8079, 2652, 1193, 6025, 11391, 318, 18345, 16182, 2187, 3546, 18419, 15305, 6025, 11391, 23952, 994, 3546, 1336, 815, 1412, 272, 7055, 3546, 2736, 454, 1038, 952, 1336, 2652, 1412, 271, 12466, 2018, 2736, 454, 1038, 3758, 269, 572, 2131, 263, 271, 267, 476, 271, 994, 825, 3758, 25379, 4590, 825, 1820, 2891, 28843, 7529, 2525, 1372, 548, 1540, 7529, 2525, 9563, 257, 9239, 3698, 4383, 318, 6312, 1801, 318, 1613, 318, 18345, 10031, 825, 3461, 8217, 815, 1496, 14085, 30297, 280, 454, 825, 3758, 815, 1930, 3488, 6312, 1801, 8217, 17902, 3299, 1412, 337, 266, 5073, 825, 1247, 6936, 912, 1038, 10917, 318, 18345, 16182, 815, 1193, 9272, 2891, 921, 848, 4283, 3461, 9517, 547, 4159, 281, 27328, 1038, 1336, 815, 1412, 271, 7055, 1038, 585, 1775, 267, 1899, 538, 26246, 31526, 2187, 2018, 10917, 23952, 815, 1899, 14714, 8692, 4590, 2018, 10917, 8217, 815, 10917, 23952, 21858, 3488, 318, 3299, 476, 280, 994, 2018, 952, 1193, 14714, 8692, 6025, 11391, 8217, 314, 271, 8079, 2652, 1193, 6025, 11391, 318, 18345, 16182, 2187, 3546, 1336, 815, 1412, 272, 7055, 3546, 1820, 6025, 11391, 8217, 994, 3546, 2736, 692, 1038, 952, 1336, 2652, 1412, 271, 12466, 2018, 1820, 2891, 323, 573, 711, 1265, 621, 8206, 8627, 15419, 2018, 2736, 454, 1038, 3758, 269, 572, 2131, 263, 271, 267, 476, 271, 994, 1038, 2736, 692, 825, 3758, 25379, 30800, 3698, 18419, 15305, 263, 12534, 2187, 825, 609, 1930, 2891, 6312, 1801, 8217, 17902, 2580, 834, 337, 8442, 607, 535, 1384, 1038, 3515, 815, 535, 18667, 6050, 10797, 825, 609, 1930, 2891, 6312, 1801, 8217, 17902, 2580, 834, 342, 8442, 607, 535, 1384, 1038, 585, 1899, 538, 3515, 1384, 2018, 952, 1899, 14714, 8692, 19629, 333, 8442, 11203, 15254, 912, 3546, 535, 22182, 263, 1467, 9239, 3698, 4383, 318, 4777, 4701, 10031, 825, 1247, 6936, 912, 1038, 4383, 318, 6312, 1801, 318, 641, 5406, 815, 3403, 18692, 2018, 834, 921, 848, 4283, 1018, 596, 1616, 547, 798, 14826, 28843, 13117, 7529, 284, 9563, 315, 333, 5417, 4387, 476, 272, 24097, 2740, 527, 4387, 476, 273, 24097, 526, 324, 8541, 4387, 476, 274, 24097, 333, 1613, 476, 275, 24097, 333, 3724, 476, 276, 24097, 333, 5602, 1038, 952, 4383, 318, 6312, 1801, 318, 641, 5406, 2652, 1412, 272, 262, 1384, 2018, 4383, 318, 6312, 1801, 318, 5417, 318, 2908, 318, 4777, 2758, 4590, 1038, 8640, 4383, 318, 6312, 1801, 318, 641, 5406, 2652, 1412, 273, 12466, 2018, 4383, 318, 6312, 1801, 318, 539, 527, 318, 4777, 2758, 4590, 1038, 8640, 4383, 318, 6312, 1801, 318, 641, 5406, 2652, 1412, 274, 12466, 2018, 4383, 318, 6312, 1801, 318, 1372, 8541, 318, 4777, 2758, 4590, 1038, 8640, 4383, 318, 6312, 1801, 318, 641, 5406, 2652, 1412, 275, 12466, 2018, 4383, 318, 6312, 1801, 318, 1613, 318, 4777, 2758, 4590, 1038, 8640, 4383, 318, 6312, 1801, 318, 641, 5406, 2652, 1412, 276, 12466, 2018, 2736, 7531, 3698, 4383, 318, 6312, 1801, 318, 5417, 318, 2908, 318, 4777, 2758, 10031, 825, 3461, 8217, 815, 1496, 14085, 30297, 278, 454, 825, 3758, 815, 1930, 3488, 4777, 2758, 8217, 17902, 3299, 1412, 337, 266, 5073, 825, 1247, 6936, 912, 1038, 10917, 318, 18345, 16182, 815, 1193, 9272, 2891, 921, 848, 4283, 513, 1007, 3461, 9517, 281, 27328, 1038, 1336, 815, 1412, 271, 7055, 1038, 585, 1775, 267, 1899, 538, 26246, 31526, 2187, 2018, 10917, 23952, 815, 1899, 14714, 8692, 4590, 2018, 10917, 8217, 815, 10917, 23952, 21858, 3488, 318, 3299, 476, 277, 994, 2018, 952, 1193, 14714, 8692, 6025, 11391, 8217, 314, 271, 8079, 2652, 1193, 6025, 11391, 318, 18345, 16182, 2187, 3546, 1336, 815, 1412, 272, 7055, 3546, 2736, 454, 1038, 952, 1336, 2652, 1412, 271, 12466, 2018, 2736, 454, 1038, 3758, 269, 572, 2131, 263, 271, 267, 476, 271, 994, 825, 21635, 815, 22373, 23430, 281, 476, 14307, 834, 7804, 269, 2012, 281, 834, 2676, 4449, 834, 720, 281, 14307, 834, 14054, 281, 14307, 834, 11754, 816, 281, 14307, 834, 17490, 281, 834, 2639, 825, 3461, 8217, 314, 271, 316, 815, 10917, 318, 18345, 16182, 454, 825, 3758, 22182, 19629, 333, 5602, 825, 3758, 22182, 263, 18345, 8217, 314, 271, 7481, 825, 585, 1775, 538, 2039, 263, 271, 267, 476, 277, 2187, 1038, 1820, 2891, 921, 848, 4283, 2580, 21635, 5157, 7481, 1038, 3461, 8217, 5157, 316, 815, 834, 318, 257, 266, 6358, 4590, 1038, 3758, 22182, 263, 18345, 8217, 5157, 20285, 825, 3758, 25379, 30800, 3698, 4383, 318, 6312, 1801, 318, 539, 527, 318, 4777, 2758, 3890, 1384, 825, 3758, 815, 1930, 3488 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 621, 7183, 540, 621, 2290, 3368, 540, 621, 476, 1015, 2600, 540, 621, 692, 3445, 260, 476, 276, 260, 476, 271, 260, 589, 269, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 476, 1556, 476, 1321, 476, 2641, 476, 2420, 476, 2537, 476, 2190, 476, 1839, 476, 2918, 692, 2767, 476, 2764, 476, 3066, 476, 1789, 476, 4029, 476, 3953, 476, 1724, 645, 269, 476, 1691, 476, 276, 260, 595, 269, 476, 1428, 476, 1626, 667, 269, 476, 1704, 476, 1240, 476, 866, 476, 736, 9453, 11508, 972, 1131, 581, 589, 269, 10815, 3684, 4398, 269, 645, 269, 20523, 3977, 960, 982, 3403, 960, 269, 595, 269, 20523, 3403, 960, 982, 3977, 960, 269, 667, 269, 26321, 3403, 543, 3977, 692, 1740, 269, 476, 1789, 260, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 476, 1556, 476, 1321, 476, 2641, 476, 2420, 476, 2537, 476, 2190, 476, 1839, 476, 2918, 476, 2767, 476, 2764, 476, 3066, 692, 1789, 476, 4029, 476, 3953, 476, 1724, 476, 1789, 260, 476, 280, 260, 589, 269, 476, 272, 476, 1789, 260, 645, 269, 476, 1691, 476, 1428, 595, 269, 476, 1626, 667, 269, 476, 1704, 476, 1240, 476, 866, 476, 736, 692, 1012, 21298, 7348, 539, 10558, 725, 692, 1892, 634, 24432, 8309, 547, 519, 2012, 834, 307, 257, 6589, 676, 12180, 3181, 1080, 593, 519, 2451, 2427, 543, 17099, 593, 519, 1318, 2427, 269, 1703, 616, 824, 11807, 24432, 12043, 267, 855, 1142, 786, 946, 519, 834, 307, 257, 2272, 3898, 269, 3883, 26283, 3335, 798, 711, 2594, 2483, 1892, 3143, 21415, 609, 15216, 334, 24766, 543, 681, 269, 901, 568, 513, 4901, 269, 18461, 1863, 547, 5577, 538, 543, 2953, 803, 952, 594, 2161, 1945, 21173, 563, 1892, 20504, 762, 16759, 2409, 1331, 267, 630, 272, 264, 519, 14661, 2344, 4879, 1935, 267, 630, 273, 264, 519, 4397, 1942, 7132, 14345, 1935, 267, 543, 630, 274, 264, 519, 15895, 1935, 630, 15290, 519, 1796, 17038, 821, 9513, 3902, 568, 711, 2047, 28507, 543, 568, 2901, 3810, 4756, 610, 7334, 1916, 1892, 4112, 334, 1746, 3590, 16844, 538, 25398, 3562, 6261, 17621, 6583, 1501, 4149, 889, 18285, 7010, 269, 15937, 11929, 540, 20289, 589, 269, 4793, 601, 630, 19688, 476, 272, 267, 476, 1220, 280, 994, 1892, 8940, 4732, 32142, 3820, 16896, 594, 476, 27157, 274, 476, 18357, 476, 30033, 271, 269, 631, 4115, 1280, 1146, 269, 18947, 7638, 8595, 269, 4985, 540, 4860, 2213, 13815, 269, 19120, 2305, 7638, 2305, 12834, 7797, 269, 3267, 3763, 519, 946, 540, 25663, 2752, 269, 19791, 585, 4886, 269, 1520, 17518, 547, 8998, 781, 10001, 3157, 269, 18391, 28644, 269, 476, 274, 670, 301, 11564, 11231, 269, 476, 277, 12135, 11564, 2483, 1892, 634, 11660, 7169, 269, 634, 834, 26199, 7169, 257, 849, 17275, 632, 1143, 269, 3807, 607, 519, 3859, 1062, 267, 6128, 267, 543, 2168, 4031, 543, 3601, 540, 519, 7122, 941, 1373, 23125, 856, 267, 519, 3741, 540, 3621, 14374, 941, 4294, 547, 4984, 563, 1892, 2637, 5669, 4437, 1774, 577, 585, 7025, 16424, 281, 24695, 5979, 613, 2762, 1299, 14479, 1851, 7286, 5095, 553, 18505, 1042, 689, 2347, 544, 339, 19091, 11646, 9696, 17556, 1597, 631, 29336, 24404, 571, 25429, 2637, 15299, 267, 5549, 269, 261, 5719, 696, 540, 10334, 267, 17341, 2160, 540, 1715, 11398, 1633, 1805, 3627, 781, 715, 299, 267, 4516, 273, 526, 4139, 10985, 593, 7909, 2762, 299, 553, 30988, 715, 309, 267, 476, 2641, 5147, 476, 1001, 275, 454, 1892, 13038, 18767, 540, 6538, 281, 20126, 630, 333, 1341, 272, 3738, 18767, 267, 562, 568, 519, 3259, 540, 519, 13074, 4806, 10566, 299, 2969, 281, 6271, 6396, 585, 14627, 550, 27294, 564, 19087, 10566, 299, 2969, 281, 585, 1142, 6221, 267, 4558, 513, 1592, 540, 11834, 476, 1749, 630, 339, 1749, 5148, 7299, 1239, 11768, 10566, 299, 2969, 281, 6271, 1862, 0, 18404, 600, 987, 19577, 25817, 2999, 19881, 1741, 8921, 3436, 14033, 2421, 5376, 916, 19257, 5558, 1109, 3436, 476, 1109, 12709, 1109, 3436, 476, 1109, 6573, 292, 5851, 1109, 3436, 476, 1109, 1320, 269, 5903, 1109, 3436, 476, 1109, 325, 337, 23950, 2958, 867, 25320, 13419, 3293, 4528, 1741, 10439, 1436, 4528, 1741, 717, 9281, 4528, 692, 31628, 332, 9992, 23950, 2958, 867, 25320, 1109, 28434, 2190, 454, 13517, 281, 1403, 513, 13113, 11505, 3113, 568, 31977, 378, 268, 10585, 267, 1287, 621, 1590, 723, 1931, 476, 271, 267, 476, 272, 610, 476, 274, 269, 630, 6944, 30744, 676, 12138, 8709, 3541, 966, 2131, 839, 267, 476, 280, 268, 12914, 268, 1001, 279, 4700, 630, 3725, 14876, 676, 20724, 267, 476, 275, 11219, 684, 268, 1708, 272, 8094, 29797, 582, 4185, 454, 8269, 20309, 454, 325, 337, 23950, 516, 1375, 339, 272, 18192, 15855, 487, 815, 630, 309, 339, 343, 8072, 14256, 374, 994, 10112, 1068, 542, 454, 8269, 20309, 454, 325, 337, 23950, 2958, 867, 25320, 16733, 14256, 374, 17995, 31541, 20877, 31961, 15855, 487, 17995, 5685, 31961, 31977, 374, 3204, 4785, 20877, 31977, 378, 264, 9890, 16733, 27501, 363, 8072, 8740, 487, 264, 815, 476, 271, 3980, 357, 630, 27501, 363, 8072, 8740, 487, 264, 815, 476, 272, 3980, 357, 630, 27501, 363, 8072, 8740, 487, 264, 815, 476, 274, 11723, 27893, 540, 14497, 9992, 23950, 2958, 867, 25320, 454, 291, 16244, 4632, 15855, 352, 15855, 492, 15855, 493, 616, 20102, 3982, 543, 3982, 689, 782, 824, 4632, 563, 3721, 29797, 8269, 20309, 454, 272, 1109, 327, 1662, 743, 1109, 15389, 3451, 1547, 1547, 476, 274, 630, 8740, 487, 17995, 5685, 9890, 630, 27501, 363, 8072, 8740, 487, 264, 17995, 21508, 499, 271, 994, 273, 1109, 1314, 268, 272, 1109, 277, 1547, 1547, 1547, 1547, 476, 276, 630, 9230, 27501, 363, 8072, 8740, 487, 264, 815, 476, 271, 3980, 357, 630, 27501, 363, 8072, 8740, 487, 264, 815, 476, 272, 3980, 357, 630, 27501, 363, 8072, 8740, 487, 264, 815, 476, 274, 264, 9890, 630, 9230, 263, 27501, 363, 8072, 8740, 487, 264, 17995, 21508, 499, 271, 8740, 487, 17995, 5685, 31961, 31977, 374, 17995, 31541, 20877, 3738, 31961, 31977, 374, 3204, 4785, 20877, 31977, 378, 264, 9890, 16733, 27501, 363, 8072, 8740, 487, 264, 815, 476, 271, 3980, 357, 630, 27501, 363, 8072, 8740, 487, 264, 815, 476, 272, 3980, 357, 630, 27501, 363, 8072, 8740, 487, 264, 815, 476, 274, 21875, 274, 1109, 274, 1640, 534, 1109, 8099, 274, 1547, 1547, 1547, 1547, 1547, 476, 277, 630, 12953, 16733, 27501, 363, 8072, 8740, 487, 264, 815, 476, 271, 3980, 357, 630, 27501, 363, 8072, 8740, 487, 264, 815, 476, 272, 3980, 357, 630, 27501, 363, 8072, 8740, 487, 264, 815, 476, 274, 264, 7602, 498, 630, 12953, 630, 27501, 363, 8072, 8740, 487, 264, 815, 476, 271, 31961, 2485, 361, 630, 27501, 363, 8072, 8740, 487, 264, 815, 476, 272, 31961, 2485, 361, 630, 27501, 363, 8072, 8740, 487, 264, 815, 476, 274, 4917, 275, 23460, 16250, 1109, 29218, 279, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 1724, 16733, 27501, 363, 8072, 8740, 487, 264, 9881, 510, 476, 271, 7602, 498, 2485, 361, 630, 27501, 363, 8072, 8740, 487, 264, 815, 476, 271, 994, 276, 1109, 13757, 515, 336, 271, 1109, 15389, 2412, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 1240, 630, 8740, 487, 17995, 5685, 9890, 16733, 27501, 363, 8072, 8740, 487, 264, 815, 476, 271, 7602, 498, 15855, 487, 815, 3980, 483, 4917, 4792, 928, 935, 274, 321, 573, 1109, 24062, 272, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 1704, 630, 8740, 487, 17995, 5685, 9890, 16733, 27501, 363, 8072, 8740, 487, 264, 9881, 510, 476, 271, 7602, 498, 15855, 487, 9881, 510, 3980, 483, 4917, 10602, 6798, 11069, 320, 1109, 21878, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 1626, 16733, 8740, 487, 17995, 5685, 31961, 630, 27501, 363, 8072, 8740, 487, 264, 9881, 510, 476, 271, 264, 9890, 15855, 487, 9881, 510, 3980, 483, 994, 279, 1109, 601, 25699, 928, 271, 1109, 15686, 1704, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 736, 16733, 27501, 363, 8072, 8740, 487, 264, 17995, 21508, 499, 7602, 498, 16733, 27501, 363, 8072, 8740, 487, 264, 17995, 21508, 499, 271, 31961, 630, 27501, 363, 8072, 8740, 487, 264, 9881, 510, 476, 271, 4917, 280, 23460, 16250, 1109, 29218, 279, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 2420, 16733, 27501, 363, 8072, 8740, 487, 264, 9881, 510, 476, 272, 7602, 498, 2485, 361, 630, 27501, 363, 8072, 8740, 487, 264, 815, 476, 272, 994, 1015, 1109, 601, 15120, 273, 321, 274, 1109, 11277, 1789, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 2190, 16733, 27501, 363, 8072, 8740, 487, 264, 17995, 630, 11433, 353, 8072, 273, 264, 7602, 498, 16733, 27501, 363, 8072, 8740, 487, 264, 17995, 21508, 499, 31961, 630, 27501, 363, 8072, 8740, 487, 264, 9881, 510, 476, 272, 4917, 1556, 1109, 327, 1662, 273, 1440, 1372, 1109, 15946, 4510, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 3451, 16733, 8740, 487, 17995, 5685, 31961, 630, 27501, 363, 8072, 8740, 487, 264, 815, 476, 273, 264, 9890, 3980, 481, 8740, 492, 8740, 493, 263, 8740, 492, 8740, 493, 8740, 487, 815, 2715, 8740, 492, 267, 15855, 493, 348, 4917, 1321, 1109, 557, 343, 1109, 30306, 276, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 2412, 15855, 492, 17995, 966, 454, 14530, 273, 320, 272, 328, 1109, 1556, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 4375, 630, 8740, 492, 8740, 493, 8740, 492, 17995, 966, 994, 1691, 1109, 557, 343, 1109, 30306, 276, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 2412, 15855, 493, 17995, 966, 454, 14681, 275, 320, 272, 328, 1109, 1556, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 4375, 630, 8740, 492, 8740, 493, 8740, 493, 17995, 966, 994, 1626, 1109, 573, 1109, 2420, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 4375, 630, 8740, 492, 8740, 493, 8740, 492, 8740, 493, 994, 14378, 274, 267, 476, 1428, 267, 476, 14321, 329, 8619, 1109, 12208, 276, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 4343, 630, 8740, 492, 8740, 493, 9890, 630, 8740, 492, 17995, 966, 31961, 15855, 493, 17995, 966, 31961, 15855, 492, 8740, 493, 4917, 1240, 1109, 325, 337, 23950, 516, 1375, 339, 272, 18192, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 2412, 15855, 487, 815, 630, 309, 339, 343, 8072, 14256, 374, 994, 4489, 279, 18091 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 454, 2018, 1948, 1699, 3349, 602, 3349, 5332, 1868, 568, 693, 454, 2018, 3349, 815, 3490, 10947, 4671, 762, 6025, 762, 5332, 1868, 314, 271, 7481, 2018, 1948, 606, 8900, 1592, 454, 2018, 3180, 8217, 284, 11713, 2018, 1948, 524, 568, 519, 1919, 538, 1142, 6241, 454, 2018, 524, 815, 3349, 10947, 22674, 4379, 263, 26383, 5332, 1868, 314, 321, 7481, 2018, 1948, 1039, 476, 272, 547, 4831, 454, 2018, 536, 6834, 476, 272, 454, 2018, 1948, 585, 519, 1297, 540, 1919, 538, 519, 6241, 454, 2018, 585, 561, 538, 2039, 12759, 6262, 15892, 3546, 1948, 513, 1592, 4528, 540, 1142, 3364, 538, 519, 6241, 547, 3180, 1592, 454, 3546, 3180, 8217, 6834, 1496, 322, 314, 331, 27663, 2018, 1948, 1039, 519, 1592, 540, 1142, 3364, 538, 1142, 897, 537, 19282, 547, 519, 2698, 1919, 538, 454, 2018, 1948, 1142, 897, 537, 19282, 454, 2018, 2698, 8217, 6834, 1496, 3835, 8217, 2639, 825, 1948, 2196, 519, 1305, 318, 27393, 9078, 739, 1558, 1117, 547, 6582, 689, 897, 537, 19282, 1106, 547, 4737, 1106, 454, 825, 1948, 543, 2132, 538, 454, 825, 2132, 1305, 318, 27393, 8217, 6025, 4973, 8217, 2020, 3698, 7047, 318, 22056, 32284, 8217, 6025, 762, 267, 3490, 2187, 825, 15981, 263, 8368, 267, 1592, 264, 9847, 1592, 540, 1592, 540, 1193, 454, 825, 513, 1599, 602, 4991, 519, 3349, 4408, 543, 6241, 4408, 543, 12662, 873, 538, 513, 454, 825, 1592, 547, 581, 1500, 883, 519, 5697, 9343, 540, 513, 3349, 454, 825, 8074, 281, 713, 1599, 1568, 585, 476, 272, 543, 1152, 476, 272, 3349, 269, 901, 1599, 568, 513, 454, 825, 26134, 540, 1711, 32284, 8217, 267, 4849, 4481, 585, 519, 7047, 14198, 454, 825, 1587, 539, 3349, 454, 825, 11555, 304, 281, 519, 3349, 2016, 814, 9587, 269, 18257, 692, 825, 1948, 513, 10145, 1592, 454, 825, 2698, 8217, 815, 1496, 22049, 536, 284, 476, 271, 454, 825, 1948, 585, 782, 540, 519, 6241, 4408, 1572, 454, 825, 6241, 5332, 1868, 815, 3349, 10947, 22674, 4379, 5332, 1868, 4590, 825, 1948, 585, 519, 2179, 540, 897, 537, 332, 985, 1572, 630, 6518, 786, 581, 782, 540, 873, 994, 825, 585, 1535, 538, 2039, 12759, 263, 26383, 5332, 1868, 15892, 1038, 1948, 585, 519, 2179, 540, 6241, 4408, 1572, 454, 1038, 1247, 630, 321, 2999, 7003, 263, 26383, 5332, 1868, 15892, 2018, 1948, 20357, 519, 3349, 568, 2907, 1305, 547, 513, 7047, 14198, 3349, 267, 543, 3349, 568, 454, 2018, 1948, 568, 1631, 519, 9936, 4986, 2115, 547, 581, 4957, 454, 2018, 3180, 8217, 284, 11713, 2018, 1948, 524, 568, 519, 1919, 538, 1142, 6241, 454, 2018, 524, 815, 3349, 10947, 22674, 4379, 263, 26383, 5332, 1868, 314, 321, 7481, 2018, 1948, 1039, 476, 272, 547, 519, 4831, 454, 2018, 536, 6834, 476, 272, 454, 2018, 1948, 585, 519, 1297, 540, 1919, 538, 519, 6241, 454, 2018, 585, 561, 538, 2039, 12759, 6262, 15892, 3546, 1948, 513, 1592, 4528, 540, 1142, 3364, 538, 519, 6241, 547, 3180, 1592, 454, 3546, 3180, 8217, 6834, 1496, 322, 314, 331, 27663, 2018, 1948, 1039, 1142, 3180, 8217, 547, 513, 1592, 454, 2018, 2698, 8217, 6834, 1496, 3835, 8217, 2639, 825, 1948, 2132, 519, 897, 537, 332, 985, 538, 4737, 3898, 454, 825, 2132, 1305, 318, 27393, 8217, 6025, 4973, 8217, 2020, 3698, 1305, 318, 27393, 8217, 6025, 4973, 8217, 2187, 825, 15981, 263, 4289, 540, 1592, 540, 1193, 264, 9847, 1592, 454, 825, 681, 792, 337, 5190, 519, 1592, 547, 922, 1697, 1931, 547, 1205, 519, 5551, 9587, 269, 898, 454, 825, 22198, 5190, 513, 1592, 540, 513, 1592, 689, 897, 537, 19282, 1106, 547, 4737, 1106, 543, 13030, 17930, 563, 825, 11555, 304, 281, 513, 1592, 540, 513, 1592, 568, 2016, 454, 825, 23288, 825, 1948, 30337, 519, 9753, 540, 519, 1592, 689, 6241, 1106, 547, 4737, 1106, 543, 13030, 454, 825, 1948, 17930, 454, 825, 1948, 3355, 1125, 1025, 752, 4632, 267, 835, 585, 9494, 1344, 543, 835, 585, 4994, 532, 454, 825, 3803, 318, 4900, 815, 1496, 22049, 1775, 815, 476, 271, 454, 825, 1948, 585, 519, 1297, 540, 9587, 538, 519, 3349, 454, 825, 585, 1535, 538, 2039, 12759, 6025, 4973, 8217, 5157, 8079, 2187, 1038, 1948, 1776, 10145, 1592, 585, 8066, 1344, 454, 1038, 3180, 8217, 815, 11713, 1038, 1948, 585, 782, 519, 9343, 538, 519, 3349, 454, 1038, 585, 1775, 538, 2039, 12759, 6025, 4973, 8217, 15892, 2018, 1948, 1039, 1142, 1871, 693, 519, 1376, 540, 519, 897, 537, 19282, 547, 513, 1007, 4737, 454, 2018, 3180, 8217, 6834, 1496, 20135, 8217, 5157, 6012, 343, 27663, 1038, 1948, 1039, 713, 4737, 547, 519, 3803, 9343, 454, 1038, 3803, 318, 4900, 6834, 1496, 3835, 8217, 2639, 825, 1948, 2132, 3180, 1592, 454, 825, 2132, 3803, 318, 4900, 692, 3698, 798, 318, 3602, 318, 743, 1021, 263, 3602, 318, 743, 1021, 267, 3349, 2187, 825, 15981, 263, 4289, 267, 1193, 267, 7305, 264, 9847, 1592, 540, 1592, 454, 825, 513, 1599, 602, 20362, 519, 1141, 21291, 4470, 593, 1018, 519, 21291, 454, 825, 941, 543, 1018, 2418, 941, 2016, 563, 825, 11555, 304, 281, 589, 1141, 16083, 568, 2016, 454, 825, 11555, 304, 281, 589, 3349, 568, 2016, 269, 18411, 825, 1948, 952, 16083, 568, 815, 267, 16083, 815, 3020, 6382, 16083, 815, 8771, 454, 825, 16083, 815, 6936, 454, 825, 1948, 1265, 519, 3160, 1129, 538, 519, 1141, 16083, 454, 825, 4994, 815, 1141, 318, 743, 1021, 26098, 3488, 284, 5073, 825, 1948, 952, 621, 729, 660, 972, 630, 15290, 922, 711, 972, 1547, 22772, 7024, 910, 272, 264, 1305, 519, 16083, 547, 454, 825, 1948, 7301, 563, 825, 952, 4994, 2652, 11196, 272, 2187, 1038, 1948, 1265, 519, 4994, 1141, 519, 3152, 1129, 568, 543, 1305, 519, 16083, 547, 7301, 2676, 1038, 1948, 547, 2663, 2161, 547, 5635, 585, 3152, 982, 543, 711, 585, 3160, 547, 563, 1038, 4994, 815, 1141, 318, 743, 1021, 28827, 3488, 285, 5073, 1038, 16083, 815, 8771, 454, 825, 1948, 1205, 6241, 602, 2115, 547, 581, 3379, 267, 513, 6390, 6241, 476, 272, 454, 825, 897, 318, 272, 815, 1141, 318, 743, 1021, 11468, 8161, 2639, 825, 1948, 1205, 6241, 602, 2115, 547, 581, 3379, 547, 267, 513, 6390, 6241, 476, 273, 454, 825, 897, 318, 273, 815, 1141, 318, 743, 1021, 27709, 266, 272, 281, 2639, 825, 1948, 13765, 952, 519, 2034, 3364, 568, 1226, 7002, 547, 513, 1871, 610, 513, 6241, 563, 825, 1948, 1205, 782, 519, 897, 537, 19282, 4408, 454, 825, 897, 5332, 1868, 815, 3349, 10947, 22674, 4379, 5332, 1868, 4590, 825, 1948, 954, 622, 998, 519, 897, 537, 19282, 4408, 543, 952, 621, 781, 972, 1305, 519, 4756, 454, 825, 1948, 897, 537, 19282, 547, 3020, 563, 825, 568, 22674, 4379, 815, 8771, 454, 825, 585, 1775, 538, 2039, 12759, 263, 3712, 5332, 1868, 15892, 1038, 1948, 952, 897, 318, 273, 814, 513, 1871, 538, 897, 5332, 1868, 1287, 6241, 568, 3020, 543, 513, 1871, 568, 454, 1038, 1948, 1373, 3379, 543, 711, 1079, 6241, 4408, 454, 1038, 952, 630, 3712, 318, 273, 2652, 897, 5332, 1868, 5157, 316, 2187, 2018, 568, 22674, 4379, 815, 6936, 454, 825, 1948, 1305, 6241, 476, 272, 547, 606, 4890, 6241, 538, 519, 3349, 454, 825, 897, 318, 272, 815, 3349, 10947, 22674, 4379, 263, 3712, 318, 272, 994, 825, 1948, 1305, 6241, 476, 273, 547, 606, 4890, 6241, 538, 519, 3349, 454, 825, 952, 630, 529, 22674, 4379, 568, 6936, 2187, 1038, 897, 318, 273, 815, 3349, 10947, 22674, 4379, 263, 3712, 318, 273, 994, 825, 1948, 8900, 1592, 585, 9494, 1239, 454, 825, 3180, 8217, 815, 6023, 318, 743, 1021, 6025, 762, 267, 897, 318, 272, 267, 897, 318, 273, 267, 568, 22674, 4379, 267, 16083, 994, 825, 1948, 585, 782, 540, 6241, 476, 273, 454, 825, 1948, 952, 513, 6241, 568, 1373, 3379, 454, 825, 2132, 3180, 8217, 692, 3698, 6023, 318, 743, 1021, 6025, 762, 267, 897, 318, 272, 267, 897, 318, 273, 267, 568, 22674, 4379, 267, 16083, 2187, 825, 15981, 263, 8368, 267, 1592, 267, 1592, 270, 1598, 267, 536, 944, 267, 536, 944, 264, 9847, 1592, 540, 1592, 540, 1193, 454, 825, 589, 1599, 602, 20362, 519, 1292, 5542, 540, 9343, 538, 513, 1141, 16083, 563, 825, 11555, 304, 281, 2353, 6724, 616, 2016, 454, 825, 11555, 304, 281, 3349, 2016, 568, 660, 8900, 454, 825, 11555, 304, 281, 897, 537, 332, 985, 616, 660, 3227, 344, 454, 825, 23288, 825, 3180, 8217, 815, 11713, 825, 1948, 952, 513, 6241, 568, 1373, 3379, 454, 825, 952, 630, 529, 22674, 4379, 568, 6936, 2187, 1038, 1948, 952, 519, 16083, 568, 21591, 1038, 952, 630, 743, 1021, 568, 6936, 2187, 2018, 585, 1775, 538, 2039, 12759, 263, 3712, 318, 272, 15892, 2018, 1948, 952, 519, 9343, 616, 3160, 547, 1142, 824, 2676, 3546, 952, 630, 3712, 318, 272, 5157, 316, 2652, 897, 318, 273, 5157, 316, 2187, 7386, 1948, 4688, 602, 3003, 4737, 547, 513, 1007, 1592, 454, 7386, 3180, 8217, 6834, 1496, 14456, 10947, 5334, 29347, 32284, 9217, 22708, 1038, 1948, 952, 519, 16083, 568, 2999, 454, 1038, 3116, 912, 2018, 585, 1775, 538, 2039, 12759, 263, 3712, 318, 272, 15892, 2018, 1948, 952, 519, 9343, 616, 3160, 547, 1142, 824, 2676, 3546, 952, 630, 3712, 318, 272, 5157, 316, 3436, 897, 318, 273, 5157, 316, 2187, 7386, 1948, 4688, 602, 3003, 4737, 547, 513, 1007, 1592, 454, 7386, 3180, 8217, 6834, 1496, 14456, 10947, 5334, 29347, 32284, 9217, 22708, 825, 1948, 952, 513, 1871, 568, 1373, 3379, 454, 825, 3116, 912, 1038, 952, 630, 743, 1021, 568, 6936, 2187, 2018, 585, 1775, 538, 2039, 12759, 263, 3712, 318, 272, 15892, 3546, 1948, 952, 519, 9343, 616, 3160, 547, 1142, 824, 2676, 3546, 952, 630, 3712, 318, 272, 5157, 316, 2652, 897, 318, 273, 2187, 7386, 1948, 4688, 602, 3003, 4737, 547, 513, 1007, 1592, 454, 7386, 3180, 8217, 6834, 1496, 14456, 10947, 5334, 29347, 32284, 9217, 22708, 1038, 1948, 952, 519, 16083, 568, 2999, 454, 1038, 3116, 912, 2018, 585, 1775, 538, 2039, 12759, 263, 3712, 318, 272, 15892, 2018, 1948, 952, 519, 9343, 616, 3160, 547, 1142, 824, 2676, 3546, 952, 630, 3712, 318, 272, 5157, 316, 3436, 897, 318, 273, 2187, 7386, 1948, 4688, 602, 3003, 4737, 547, 513, 1007, 1592, 454, 7386, 3180, 8217, 6834, 1496, 14456, 10947, 5334, 29347, 32284, 9217, 22708, 825, 2132, 3180, 8217, 692, 604, 263, 1029, 4067, 1029, 2652, 26242, 10852, 1029, 257, 2187, 825, 6538, 815, 1224, 5091, 520, 15390, 4590, 825, 13214, 815, 3403, 2891, 11767, 513, 590, 5226, 292, 320, 299, 13214, 267, 610, 513, 10145, 1899, 547, 14827, 281, 5602, 825, 1247, 630, 638, 2044, 11203, 15234, 2187, 1038, 546, 815, 2196, 318, 638, 2044, 5560, 520, 15390, 267, 13214, 994, 1038, 546, 31428, 32269, 4590, 1038, 13214, 815, 3403, 2891, 11767, 513, 590, 5226, 292, 320, 299, 13214, 267, 610, 513, 10145, 1899, 547, 14827, 281, 5602, 0, 258, 14976, 1987, 5964, 11188, 281, 2274, 663, 549, 6682, 778, 334, 3397, 340, 1791, 586, 22966, 2088, 8496, 3419, 531, 12653, 21034, 454, 258, 293, 3663, 320, 632, 11511, 24265, 281, 476, 276, 270, 1556, 270, 1708, 271, 2433, 18958, 10975, 3097, 258, 293, 3663, 320, 632, 3331, 374, 2741, 9874, 3525, 881, 24265, 281, 476, 277, 270, 1556, 270, 1708, 271, 476, 280, 281, 4391, 10975, 454, 258, 309, 619, 18059, 281, 476, 274, 269, 279, 269, 276, 454, 258, 17387, 30685, 632, 5391, 516, 686, 553, 3097, 5814, 556, 454, 5814, 942, 454, 5228, 8342, 322, 542, 525, 1104, 4570, 541, 19617, 27396, 656, 525, 267, 920, 541, 12385, 10961, 267, 961, 523, 541, 12385, 10961, 267, 516, 716, 643, 541, 29423, 1470, 267, 1066, 558, 1962, 541, 267, 2865, 32057, 13707, 27396, 14397, 267, 2865, 32057, 27396, 656, 525, 3519, 21581, 14720, 639, 8364, 4462, 27396, 14397, 454, 258, 293, 15635, 542, 525, 454, 3698, 1003, 27396, 656, 525, 10031, 825, 8173, 825, 8342, 322, 542, 600, 1304, 334, 281, 15050, 320, 3288, 18085, 21059, 632, 16045, 525, 6446, 2007, 7534, 1714, 721, 340, 9222, 454, 825, 9980, 2784, 553, 281, 16045, 525, 454, 825, 6428, 573, 553, 281, 18085, 21059, 632, 16045, 525, 522, 796, 544, 839, 1690, 324, 632, 5470, 454, 825, 8173, 825, 1003, 8512, 328, 284, 6358, 3488, 14707, 924, 3288, 18085, 21059, 632, 16045, 525, 281, 30386, 825, 1247, 711, 4570, 541, 19617, 27396, 656 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 14116, 11924, 2765, 346, 276, 2410, 273, 348, 3667, 346, 302, 20731, 273, 14116, 264, 21375, 476, 273, 3667, 346, 4596, 20731, 273, 14116, 264, 1341, 3667, 346, 295, 20731, 273, 3667, 346, 302, 12917, 331, 264, 29911, 6906, 1257, 346, 295, 13157, 268, 9873, 272, 269, 272, 1257, 346, 330, 297, 10592, 2414, 946, 670, 612, 779, 1876, 267, 649, 991, 547, 3313, 875, 519, 1614, 4834, 1657, 666, 581, 26203, 865, 602, 789, 666, 581, 3773, 1927, 547, 1267, 538, 519, 5551, 3830, 630, 1492, 5250, 540, 1035, 25485, 2940, 689, 3327, 543, 7250, 6393, 1103, 1931, 547, 798, 713, 267, 649, 786, 979, 998, 519, 5551, 3830, 267, 835, 6219, 693, 513, 942, 1107, 7446, 519, 13674, 5114, 689, 519, 4834, 22921, 476, 272, 268, 274, 1657, 602, 3568, 602, 6219, 269, 898, 949, 581, 2556, 547, 2901, 9258, 513, 13674, 5114, 610, 9062, 621, 676, 930, 3815, 538, 1931, 547, 1118, 621, 968, 7257, 892, 547, 519, 5551, 3830, 269, 634, 1101, 2746, 656, 568, 3327, 543, 519, 538, 519, 3830, 585, 519, 5551, 5114, 267, 519, 11664, 540, 519, 3327, 568, 513, 476, 273, 269, 1924, 267, 649, 786, 2328, 519, 1101, 13674, 5114, 267, 30945, 782, 540, 519, 14170, 543, 519, 1269, 28256, 4120, 1257, 346, 295, 4151, 16317, 259, 273, 3667, 346, 290, 12917, 338, 267, 1257, 346, 23054, 924, 348, 11924, 273, 3667, 346, 302, 20731, 273, 14116, 264, 21375, 476, 273, 3667, 346, 4596, 20731, 273, 14116, 264, 7117, 15153, 6906, 1257, 346, 295, 13157, 273, 8987, 4375, 274, 269, 276, 6661, 268, 4281, 278, 269, 271, 1257, 346, 330, 297, 10592, 763, 2034, 2746, 656, 568, 7250, 543, 922, 11664, 568, 513, 476, 272, 267, 607, 621, 568, 538, 519, 2034, 13674, 5114, 269, 4475, 267, 602, 5114, 786, 581, 1031, 607, 2854, 780, 259, 3667, 346, 295, 20731, 273, 14116, 11924, 2765, 346, 272, 2410, 273, 348, 3667, 346, 302, 20731, 273, 14116, 264, 21375, 1257, 346, 295, 20731, 273, 3667, 346, 302, 12917, 331, 264, 7117, 15153, 6906, 1257, 346, 295, 13157, 268, 26326, 269, 279, 1257, 346, 330, 297, 10592, 763, 1587, 540, 519, 5114, 568, 1109, 290, 476, 273, 670, 476, 273, 543, 922, 11664, 568, 849, 513, 476, 272, 269, 769, 13674, 5114, 1948, 274, 267, 519, 1035, 25485, 2940, 568, 513, 2746, 656, 269, 4475, 267, 649, 786, 9258, 5114, 476, 274, 267, 4657, 519, 1129, 540, 519, 1269, 28256, 4120, 1257, 346, 295, 4151, 16317, 259, 273, 3667, 346, 4596, 20731, 273, 14116, 11924, 3667, 346, 295, 20731, 273, 3667, 346, 302, 12917, 331, 264, 21375, 1257, 346, 290, 20731, 273, 3667, 346, 295, 20731, 273, 14116, 11924, 2765, 346, 276, 2410, 273, 348, 3667, 346, 302, 20731, 273, 14116, 264, 29911, 6906, 1257, 346, 295, 13157, 9873, 272, 269, 272, 1257, 346, 330, 297, 10592, 3086, 267, 891, 1614, 6547, 666, 581, 2040, 4364, 1927, 269, 7102, 6219, 602, 5526, 538, 3160, 9424, 607, 513, 2746, 656, 538, 835, 3830, 543, 513, 1587, 538, 1776, 3830, 666, 26118, 856, 7223, 1227, 269, 634, 2418, 585, 519, 6678, 531, 6853, 2242, 616, 11338, 3773, 780, 259, 273, 3667, 346, 290, 12917, 338, 267, 1257, 346, 23054, 924, 348, 11924, 322, 30327, 346, 273, 3667, 346, 302, 20731, 273, 14116, 14587, 1299, 21375, 22599, 346, 273, 3667, 346, 4596, 20731, 273, 14116, 14587, 30974, 28256, 4120, 1257, 346, 295, 13157, 268, 4281, 278, 269, 271, 1257, 346, 330, 297, 4153, 3667, 346, 295, 20731, 273, 14116, 11924, 322, 30327, 346, 2765, 346, 272, 2410, 273, 348, 3667, 346, 302, 20731, 273, 14116, 14587, 1299, 21375, 22599, 346, 3667, 346, 295, 20731, 273, 3667, 346, 302, 12917, 331, 14587, 30974, 28256, 4120, 1257, 346, 295, 13157, 268, 26326, 269, 279, 1257, 346, 330, 297, 4153, 322, 30327, 346, 273, 3667, 346, 4596, 20731, 273, 14116, 14587, 266, 322, 30327, 346, 3667, 346, 295, 20731, 273, 3667, 346, 302, 12917, 331, 14587, 1299, 21375, 1257, 346, 290, 20731, 273, 3667, 346, 295, 20731, 273, 14116, 264, 1341, 322, 30327, 346, 2765, 346, 276, 2410, 273, 348, 3667, 346, 302, 20731, 273, 14116, 14587, 30974, 28256, 4120, 1257, 346, 295, 13157, 9873, 272, 269, 272, 1257, 346, 330, 297, 4153, 327, 1467, 273, 3667, 346, 290, 12917, 338, 267, 1257, 346, 23054, 924, 348, 11924, 3667, 346, 295, 20731, 273, 14116, 264, 1299, 21375, 1257, 346, 290, 20731, 273, 3667, 346, 295, 20731, 273, 14116, 264, 29911, 7117, 15153, 30974, 6906, 1257, 346, 295, 13157, 25248, 269, 274, 1257, 346, 330, 297, 10592, 3383, 519, 3002, 540, 5114, 585, 519, 4999, 540, 3327, 609, 7250, 547, 3132, 1035, 25485, 2940, 568, 476, 25248, 269, 274, 737, 297, 269, 1879, 835, 3727, 540, 1035, 25485, 2940, 568, 3812, 267, 476, 25248, 269, 274, 737, 297, 540, 3002, 616, 12842, 267, 1818, 519, 5114, 1439, 1278, 6193, 780, 23087, 692, 1892, 670, 612, 685, 4521, 568, 1031, 547, 5173, 519, 3002, 540, 5114, 585, 3157, 602, 3112, 581, 6027, 2047, 780, 20797, 692, 2710, 519, 2042, 630, 553, 1082, 607, 596, 723, 942, 585, 264, 693, 519, 3095, 2630, 1384, 10674, 2517, 325, 659, 8372, 269, 19895, 1575, 8063, 12975, 11305, 321, 2658, 270, 16158, 260, 736, 2457, 260, 736, 19507, 518, 260, 736, 523, 21346, 270, 577, 332, 9340, 270, 2419, 332, 260, 1001, 1556, 260, 736, 4103, 19298, 26260, 612, 260, 2767, 338, 260, 736, 25187, 260, 736, 2889, 2125, 11258, 692, 18800, 692, 26524, 692, 272, 269, 5903, 1079, 4128, 1463, 6482, 540, 513, 3002, 540, 5114, 949, 711, 581, 15164, 563, 273, 269, 3557, 670, 612, 685, 1876, 563, 274, 269, 1403, 513, 13674, 5114, 568, 20328, 267, 1018, 2115, 547, 4755, 547, 519, 1109, 1269, 28256, 4120, 1257, 346, 295, 4151, 1871, 2496, 1892, 670, 612, 779, 1876, 540, 3002, 14805, 566, 281, 1403, 1079, 610, 811, 5687, 12950, 4834, 666, 581, 3773, 1927, 547, 2285, 513, 3803, 3830, 267, 1287, 519, 646, 1846, 540, 5114, 666, 849, 581, 3773, 547, 2285, 513, 3002, 540, 5114, 585, 519, 3803, 3830, 269, 0, 4131, 1269, 305, 259, 581, 513, 8258, 609, 476, 272, 267, 1577, 1269, 300, 259, 581, 513, 2451, 1269, 305, 27572, 7116, 2544, 267, 1577, 1269, 301, 1422, 11357, 3553, 18091, 631, 259, 581, 513, 1016, 7116, 2544, 267, 543, 1577, 1269, 296, 1422, 11357, 3553, 18091, 681, 259, 581, 513, 1318, 4998, 780, 272, 269, 28171, 602, 1269, 301, 1422, 11357, 3553, 18091, 1422, 4118, 338, 325, 346, 25486, 20731, 300, 7268, 4118, 338, 325, 346, 25486, 20731, 305, 18217, 4297, 10608, 8058, 676, 1383, 602, 519, 10014, 949, 581, 7453, 563, 273, 269, 28171, 602, 1269, 296, 1422, 11357, 3553, 18091, 1422, 4118, 338, 325, 346, 25486, 20731, 305, 7268, 4118, 338, 325, 346, 25486, 20731, 300, 263, 296, 4297, 10608, 8058, 676, 1383, 602, 519, 10014, 949, 581, 7453, 780, 272, 269, 2913, 1269, 333, 1422, 514, 715, 8961, 543, 1577, 1269, 320, 1422, 514, 1422, 4118, 338, 325, 346, 25486, 20731, 305, 18217, 30879, 15742, 569, 1287, 1269, 320, 1422, 10383, 562, 815, 476, 271, 10608, 4935, 1269, 301, 1422, 11357, 3553, 18091, 1422, 4118, 338, 325, 346, 25486, 20731, 300, 7268, 4118, 338, 325, 346, 25486, 20731, 305, 18217, 4297, 16859, 3086, 1577, 1269, 305, 815, 1422, 13992, 346, 313, 20954, 1577, 1269, 300, 815, 1422, 13992, 346, 313, 348, 14370, 273, 264, 1422, 9392, 1422, 13992, 346, 313, 348, 14370, 277, 29408, 543, 1577, 1269, 301, 815, 476, 271, 1422, 9392, 630, 274, 19422, 277, 30879, 1284, 3409, 602, 4399, 4118, 338, 325, 346, 25486, 20731, 305, 18217, 264, 815, 630, 273, 30879, 1677, 1294, 713, 267, 15475, 1269, 337, 1422, 514, 681, 259, 3045, 8811, 559, 919, 1269, 301, 10608, 3973, 538, 1880, 267, 1269, 337, 1422, 10383, 22570, 28235, 346, 271, 9574, 1422, 28235, 346, 274, 16585, 815, 22570, 28235, 346, 271, 9574, 1422, 28235, 346, 274, 337, 16585, 815, 476, 271, 10608, 3973, 1269, 274, 337, 1422, 25406, 476, 271, 259, 1110, 476, 277, 267, 865, 602, 1269, 337, 1422, 25406, 476, 271, 259, 1110, 476, 273, 269, 3767, 1577, 1269, 7268, 28235, 346, 271, 9574, 1422, 28235, 346, 274, 330, 16585, 1422, 514, 715, 259, 543, 4063, 602, 1269, 273, 1422, 10383, 22570, 28235, 346, 271, 9574, 1422, 28235, 346, 274, 330, 16585, 815, 22570, 28235, 346, 271, 9574, 1422, 28235, 346, 277, 330, 16585, 815, 476, 271, 10608, 1924, 4399, 4118, 338, 325, 346, 25486, 20731, 305, 18217, 264, 815, 630, 273, 30879, 3767, 649, 3409, 602, 4399, 4118, 338, 325, 346, 25486, 20731, 300, 7268, 4118, 338, 325, 346, 25486, 20731, 305, 18217, 4297, 815, 1422, 13992, 346, 313, 348, 14370, 273, 264, 1422, 9392, 630, 274, 19422, 277, 30879, 1677, 1294, 713, 267, 15475, 1269, 7268, 28235, 21151, 9574, 1422, 28235, 15830, 16585, 1422, 514, 1422, 4118, 338, 325, 346, 25486, 20731, 300, 7268, 4118, 338, 325, 346, 25486, 20731, 305, 18217, 4297, 10608, 3973, 538, 1880, 267, 1269, 273, 1422, 10383, 22570, 28235, 21151, 9574, 1422, 28235, 15830, 16585, 815, 22570, 28235, 346, 273, 320, 9574, 1422, 28235, 346, 273, 321, 16585, 815, 476, 271, 8961, 543, 649, 723, 1269, 273, 320, 1422, 25406, 476, 271, 259, 1110, 476, 273, 543, 1269, 273, 321, 1422, 25406, 476, 271, 259, 1110, 476, 277, 269, 3973, 1269, 321, 1422, 25406, 476, 271, 259, 1110, 476, 274, 543, 649, 723, 1100, 9993, 593, 1269, 320, 259, 282, 3976, 1269, 7268, 28235, 21151, 9574, 1422, 28235, 15830, 16585, 1422, 514, 1422, 13992, 346, 313, 348, 14370, 273, 264, 1422, 9392, 630, 274, 19422, 277, 30879, 14597, 1631, 602, 1269, 7268, 28235, 21151, 9574, 1422, 28235, 346, 274, 321, 16585, 1422, 514, 1422, 13992, 346, 313, 348, 14370, 273, 264, 1422, 9392, 630, 274, 19422, 277, 7751, 543, 1577, 1269, 273, 339, 1422, 514, 630, 273, 30879, 3973, 1269, 273, 339, 1422, 10383, 22570, 28235, 21151, 9574, 1422, 28235, 346, 274, 321, 16585, 815, 22570, 28235, 346, 273, 3279, 9574, 1422, 28235, 346, 277, 339, 321, 16585, 815, 476, 271, 8961, 607, 5551, 269, 8074, 602, 1269, 301, 1422, 11357, 3553, 928, 336, 1422, 4118, 338, 325, 346, 25486, 20731, 300, 7268, 4118, 338, 325, 346, 25486, 20731, 305, 18217, 4297, 16859, 273, 269, 2913, 1269, 320, 1422, 514, 594, 259, 543, 1577, 1269, 332, 1422, 514, 1422, 4118, 338, 325, 346, 25486, 20731, 300, 263, 296, 30879, 15742, 569, 1287, 1269, 320, 1422, 10383, 544, 815, 476, 271, 8961, 865, 602, 538, 1249, 1269, 296, 1422, 11357, 3553, 18091, 1422, 4118, 338, 325, 346, 25486, 20731, 305, 7268, 4118, 338, 325, 346, 25486, 20731, 300, 263, 296, 4297, 16859, 3086, 1577, 1269, 305, 815, 1422, 13992, 346, 313, 20954, 1577, 1269, 300, 815, 1422, 13992, 346, 313, 348, 14370, 273, 264, 1422, 9392, 1422, 13992, 346, 313, 348, 14370, 277, 29408, 543, 1577, 1269, 296, 815, 630, 275, 30879, 1284, 3409, 602, 4399, 4118, 338, 325, 346, 25486, 20731, 300, 263, 296, 264, 815, 1422, 13992, 346, 313, 348, 14370, 273, 264, 1422, 9392, 630, 274, 19422, 277, 30879, 1677, 1294, 713, 267, 15475, 1269, 7268, 28235, 21151, 9574, 1422, 28235, 15830, 348, 7751, 3045, 8811, 559, 919, 18159, 275, 30879, 3973, 538, 1880, 267, 1269, 275, 1422, 10383, 22570, 28235, 21151, 9574, 1422, 28235, 15830, 16585, 815, 22570, 28235, 346, 275, 320, 9574, 1422, 28235, 346, 275, 321, 16585, 815, 476, 271, 10608, 3973, 1269, 275, 321, 1422, 25406, 476, 271, 259, 1110, 476, 277, 267, 543, 649, 723, 1269, 321, 1422, 25406, 476, 271, 259, 1110, 476, 274, 269, 8754, 1269, 7268, 28235, 21151, 9574, 1422, 28235, 15830, 16585, 1422, 514, 1422, 13992, 346, 313, 348, 14370, 273, 264, 1422, 9392, 630, 274, 19422, 277, 30879, 14597, 1631, 602, 1269, 7268, 28235, 21151, 9574, 1422, 28235, 346, 274, 321, 16585, 1422, 514, 1422, 13992, 346, 313, 348, 14370, 273, 264, 1422, 9392, 630, 274, 19422, 277, 7751, 543, 1577, 1269, 275, 339, 1422, 514, 630, 275, 30879, 3973, 1269, 275, 339, 1422, 10383, 22570, 28235, 21151, 9574, 1422, 28235, 346, 274, 321, 16585, 815, 22570, 28235, 346, 275, 3279, 9574, 1422, 28235, 346, 1321, 339, 321, 16585, 815, 476, 271, 259, 607, 5551, 269, 4935, 4399, 4118, 338, 325, 346, 25486, 20731, 300, 263, 296, 264, 815, 1422, 13992, 346, 313, 348, 14370, 273, 264, 1422, 9392 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1699, 998, 519, 19919, 5288, 942, 543, 519, 1802, 2758, 5288, 269, 942, 269, 476, 273, 269, 31999, 4834, 1775, 284, 328, 263, 271, 264, 324, 317, 8987, 305, 339, 13624, 11924, 309, 24250, 263, 272, 3887, 22677, 20670, 13624, 264, 476, 274, 269, 634, 3801, 693, 513, 3070, 3733, 1101, 2219, 729, 602, 7620, 1699, 998, 519, 1802, 2758, 1131, 581, 476, 271, 2549, 1186, 267, 1247, 1699, 998, 519, 19919, 1131, 581, 966, 24250, 269, 2311, 512, 284, 8882, 6541, 267, 519, 1802, 2758, 1131, 1831, 606, 4998, 5911, 865, 782, 1699, 1131, 979, 998, 519, 1802, 2758, 269, 1809, 952, 602, 568, 519, 2013, 1287, 594, 6415, 711, 2386, 1018, 519, 1699, 1131, 581, 2094, 519, 5547, 1131, 581, 9247, 4389, 547, 513, 6007, 543, 606, 1802, 2758, 269, 0, 16039, 269, 16026, 270, 277, 628, 1974, 454, 1103, 519, 1433, 267, 968, 2690, 3022, 676, 9605, 2223, 2278, 267, 1744, 16336, 19537, 704, 267, 3096, 6057, 547, 1020, 519, 454, 10420, 3030, 543, 4001, 519, 3988, 827, 519, 1433, 779, 6249, 3842, 12013, 2305, 540, 519, 3197, 454, 5228, 513, 3791, 1268, 1448, 540, 2070, 269, 634, 1292, 3197, 538, 519, 1650, 941, 3933, 1664, 267, 1200, 5067, 2676, 294, 14283, 267, 1200, 968, 327, 639, 7171, 2223, 16888, 267, 543, 19664, 267, 945, 729, 16888, 779, 6211, 8250, 269, 717, 14283, 1185, 454, 331, 1882, 609, 1010, 968, 288, 2863, 10348, 892, 585, 8370, 1296, 267, 2394, 1352, 5747, 540, 513, 2295, 4323, 282, 693, 713, 1448, 646, 4682, 454, 1729, 2661, 609, 1010, 3993, 543, 16888, 267, 1010, 1900, 15289, 269, 717, 14283, 568, 6534, 547, 519, 6057, 540, 1010, 3993, 454, 663, 11078, 676, 1010, 1900, 15289, 282, 543, 646, 568, 13604, 26884, 5128, 563, 297, 14493, 9308, 543, 14156, 26884, 3933, 1664, 269, 1261, 1131, 10726, 1200, 950, 646, 729, 14834, 454, 528, 26583, 267, 855, 1352, 1131, 711, 4734, 1864, 1317, 1352, 729, 12922, 547, 269, 16888, 849, 9308, 543, 454, 655, 10056, 958, 26884, 1312, 717, 14283, 267, 1010, 3268, 517, 267, 543, 1010, 6211, 8250, 267, 19664, 282, 646, 9308, 454, 629, 4310, 717, 14283, 676, 25588, 1864, 267, 543, 9308, 26884, 19664, 676, 12387, 20535, 1200, 269, 2201, 835, 1880, 454, 11484, 5235, 16888, 3357, 1753, 547, 1265, 602, 519, 2011, 30690, 1185, 1044, 21687, 267, 543, 3893, 883, 606, 454, 30348, 609, 3933, 1664, 267, 945, 729, 2192, 543, 1705, 711, 917, 602, 519, 6885, 1770, 1185, 1044, 21687, 563, 14881, 6557, 20994, 2223, 3933, 1664, 5418, 12184, 269, 16888, 1793, 11474, 1200, 267, 20866, 267, 543, 1200, 9224, 3459, 547, 18053, 563, 294, 14283, 3357, 1753, 267, 543, 606, 7369, 322, 566, 862, 10642, 1063, 519, 1079, 540, 873, 267, 1282, 799, 454, 294, 14283, 729, 14213, 539, 267, 543, 1010, 9224, 729, 1973, 1221, 607, 1134, 563, 297, 14493, 1185, 6170, 3670, 1296, 538, 7890, 585, 12387, 20535, 19664, 267, 855, 7307, 547, 18609, 519, 454, 10461, 885, 602, 646, 1185, 4957, 267, 1498, 646, 1185, 711, 269, 4438, 513, 1880, 8317, 950, 19664, 729, 454, 24610, 4805, 609, 1200, 4651, 543, 646, 13986, 547, 22149, 1200, 1352, 1185, 2451, 3905, 323, 9233, 5986, 593, 519, 454, 560, 913, 269, 2701, 8910, 6836, 547, 2196, 267, 855, 1200, 4651, 19526, 519, 7450, 269, 1261, 10544, 5523, 1200, 543, 6836, 547, 3196, 1200, 547, 454, 1492, 23103, 269, 2701, 6836, 547, 4339, 1394, 267, 855, 646, 729, 1932, 3532, 269, 1261, 5679, 18088, 1200, 856, 543, 2322, 1200, 593, 454, 3528, 713, 942, 717, 14283, 729, 3478, 1055, 519, 1668, 543, 4718, 8673, 4947, 689, 741, 19887, 563, 3891, 8452, 693, 519, 19887, 609, 19664, 593, 1010, 2247, 269, 634, 7450, 729, 19526, 267, 865, 646, 14736, 539, 621, 1524, 563, 3891, 10443, 998, 519, 7450, 3458, 5446, 19664, 779, 2012, 267, 855, 1352, 729, 796, 22529, 633, 689, 16888, 779, 9514, 454, 4433, 331, 777, 1040, 717, 14283, 10443, 909, 547, 19664, 779, 4055, 547, 1265, 16888, 3843, 547, 12387, 652, 1200, 269, 717, 14283, 543, 16888, 3893, 454, 20041, 606, 4661, 269, 3973, 16888, 29860, 693, 717, 14283, 899, 513, 737, 30865, 5622, 267, 5679, 12177, 1864, 1394, 269, 717, 14283, 454, 332, 3437, 2476, 543, 1577, 1864, 917, 602, 519, 2777, 729, 593, 3595, 7498, 2507, 763, 6249, 540, 968, 2690, 3022, 676, 9605, 892, 4628, 28107, 693, 519, 1439, 540, 519, 1650, 267, 950, 717, 14283, 11324, 1132, 1010, 454, 338, 3563, 1312, 689, 16888, 543, 689, 519, 3595, 269, 16874, 519, 3595, 2760, 7018, 267, 543, 1185, 16888, 711, 2468, 5529, 267, 8593, 2676, 663, 5747, 14365, 1681, 547, 9101, 519, 3595, 267, 19664, 267, 717, 14283, 267, 543, 3933, 1664, 1131, 723, 2760, 23012, 1010, 454, 629, 2224, 269, 11088, 267, 3933, 1664, 1185, 1044, 1932, 12922, 547, 4734, 16888, 282, 8754, 267, 741, 5191, 729, 585, 3022, 676, 3595, 269, 634, 454, 332, 7394, 540, 519, 1650, 568, 547, 2760, 3251, 538, 606, 29880, 3510, 267, 607, 621, 666, 581, 5906, 543, 5732, 14603, 282, 543, 454, 325, 622, 630, 18661, 264, 568, 1634, 547, 4894, 1004, 689, 938, 2729, 945, 798, 711, 4196, 938, 1655, 4690, 269, 0, 1607, 2534, 568, 513, 2978, 11191, 799, 7710, 875, 7599, 11775, 2049, 269, 4841, 946, 513, 3043, 3440, 547, 2099, 519, 9855, 543, 513, 17689, 547, 2099, 519, 3141, 269, 670, 13783, 519, 3440, 543, 7432, 547, 18082, 519, 9855, 779, 10739, 267, 1053, 4585, 875, 519, 1396, 6712, 540, 519, 3440, 2242, 4470, 593, 922, 3448, 2990, 269, 23850, 585, 1053, 543, 20979, 585, 3610, 267, 713, 2978, 786, 4497, 543, 3673, 3729, 1053, 269, 2480, 3530, 1245, 539, 1603, 12987, 1450, 1053, 540, 1114, 5759, 547, 4497, 609, 519, 1482, 1543, 269, 4208, 666, 1406, 3047, 779, 14692, 2491, 9855, 11775, 286, 1215, 1281, 519, 9511, 540, 519, 3141, 267, 3047, 267, 543, 9855, 2014, 16264, 11775, 286, 4438, 1018, 5123, 666, 606, 24256, 2049, 286, 13772, 707, 1053, 1831, 3744, 607, 789, 2007, 883, 891, 10578, 2055, 563, 3528, 4358, 609, 519, 3621, 9259, 267, 596, 3513, 581, 27278, 543, 9599, 547, 2007, 4514, 883, 519, 1946, 779, 543, 875, 779, 540, 1142, 3621, 1523, 269, 27202, 569, 11609, 543, 1134, 9788, 856, 267, 891, 2978, 2238, 616, 2653, 547, 946, 689, 519, 1360, 1101, 2985, 269, 31401, 616, 5693, 6896, 543, 2854, 547, 519, 2875, 865, 789, 798, 711, 991, 547, 581, 840, 1673, 580, 6479, 676, 513, 4116, 1354, 4098, 269, 6435, 995, 4388, 2429, 519, 6901, 543, 519, 11819, 11872, 4734, 519, 5467, 538, 1100, 8969, 827, 875, 547, 1685, 610, 1174, 606, 4603, 563, 13828, 519, 4116, 543, 519, 2875, 616, 9619, 865, 1100, 3606, 2835, 616, 2877, 269, 12056, 3163, 6997, 338, 616, 3730, 585, 4928, 610, 18954, 5054, 563, 1892, 9855, 11775, 4096, 593, 519, 9511, 1063, 519, 3141, 267, 3047, 267, 543, 519, 9855, 563, 1892, 9891, 17772, 2354, 525, 666, 1152, 2049, 1282, 519, 1007, 7599, 5123, 563, 1892, 30803, 24256, 666, 1152, 2049, 1282, 519, 2407, 7599, 5123, 563, 1892, 9855, 11775, 2049, 538, 2834, 267, 18110, 267, 9266, 3270, 563, 19009, 3440, 593, 6529, 267, 2312, 15941, 267, 17689, 454, 15761, 2400, 4116, 4967, 2232, 519, 1082, 2055, 602, 2097, 909, 269, 1411, 12582, 1406, 723, 547, 798, 3544, 1382, 593, 713, 1888, 8259, 596, 1616, 547, 563, 763, 2978, 2534, 786, 1491, 693, 2547, 476, 1789, 3764, 454, 1892, 2480, 3530, 1245, 539, 1603, 12987, 1299, 2978, 8989, 454, 12812, 1934, 547, 1294, 13959, 1225, 14152, 4773, 912, 22129, 3163, 1299, 18395, 8249, 454, 14946, 543, 946, 513, 2203, 540, 519, 3047, 1606, 684, 2173, 3019, 1062, 547, 4766, 519, 28023, 3270, 540, 16264, 11775, 267, 17772, 2354, 525, 540, 519, 3141, 543, 7599, 563, 309, 597, 6265, 807, 22622, 25663, 454, 2464, 269, 274, 634, 2875, 786, 8495, 543, 1174, 519, 4162, 540, 3047, 543, 519, 3859, 1062, 269, 6206, 2035, 1331, 454, 321, 264, 3141, 7232, 14390, 2173, 3019, 3347, 282, 630, 324, 743, 2354, 525, 11850, 307, 1410, 553, 23140, 16775, 6103, 476, 277, 454, 263, 1556, 264, 3047, 543, 2230, 269, 634, 2875, 17358, 519, 3919, 540, 938, 3859, 1062, 543, 519, 3347, 1851, 519, 1585, 4703, 602, 17663, 621, 563, 263, 278, 264, 3047, 543, 2230, 269, 634, 2875, 6487, 519, 2360, 4611, 689, 7814, 673, 5322, 540, 519, 6129, 267, 3047, 267, 543, 9855, 269, 634, 2875, 568, 4397, 547, 281, 630, 289, 264, 6542, 543, 3589, 519, 5311, 540, 2621, 538, 519, 16264, 4783, 282, 543, 454, 21010, 609, 803, 7498, 1892, 8437, 1934, 454, 1729, 1246, 1250, 5816, 547, 1265, 856, 827, 3450, 2093, 543, 2200, 563, 1892, 1403, 596, 2972, 713, 1587, 267, 5225, 4734, 5955, 547, 7118, 17099, 585, 2104, 16306, 2336, 1892, 1403, 596, 723, 2055, 610, 2042, 267, 5225, 1577, 803, 917, 538, 519, 1627, 26031, 3296, 543, 594, 3580, 1205, 1394, 547, 596, 607, 777, 269, 0, 347, 1805, 4450, 540, 519, 17785, 527, 10440, 2008, 13126, 281, 11154, 539, 689, 5246, 24191, 8144, 676, 7917, 30634, 11302, 31171, 454, 297, 25353, 25605, 3143, 269, 476, 8660, 454, 257, 1692, 26363, 1701, 901, 1650, 729, 5143, 676, 519, 9457, 1247, 693, 32591, 822, 3570, 27694, 827, 513, 31081, 652, 269, 634, 3877, 540, 1010, 31081, 17965, 786, 581, 5143, 538, 519, 772, 9536, 8403, 18191, 31540, 30916, 272, 1916, 5629, 2390, 513, 942, 950, 23347, 24703, 520, 3279, 729, 12081, 532, 538, 5484, 4100, 267, 972, 5030, 2182, 676, 513, 1978, 2370, 8498, 513, 6442, 1399, 678, 26696, 540, 606, 10841, 2045, 267, 540, 519, 1362, 799, 31273, 1279, 267, 1319, 1540, 4552, 269, 634, 4013, 540, 519, 1747, 1185, 513, 1200, 2466, 720, 3710, 538, 519, 4104, 585, 1864, 547, 17743, 538, 267, 543, 1031, 547, 1683, 5140, 1426, 585, 1864, 538, 1010, 1378, 2777, 269, 14171, 519, 1319, 1540, 3620, 8529, 678, 26696, 547, 581, 513, 2203, 540, 22556, 267, 543, 2713, 607, 646, 1705, 538, 4250, 540, 3775, 1499, 267, 519, 4013, 4547, 513, 4627, 4773, 540, 4154, 547, 519, 1200, 2466, 720, 543, 972, 12617, 873, 267, 6998, 519, 10841, 2045, 1832, 4585, 936, 873, 269, 834, 5591, 991, 547, 2161, 602, 267, 27205, 267, 547, 513, 812, 945, 814, 15646, 6407, 519, 1158, 282, 649, 1200, 332, 1080, 2760, 1032, 333, 547, 4865, 824, 11570, 262, 5370, 1701, 834, 2005, 568, 1134, 267, 27205, 2437, 1767, 519, 4013, 267, 945, 4682, 1055, 609, 2407, 6015, 538, 519, 824, 781, 13889, 725, 269, 3973, 519, 678, 2444, 958, 10841, 2045, 2219, 547, 5128, 267, 834, 11004, 781, 2614, 1934, 547, 1832, 513, 812, 782, 1010, 1272, 1279, 1701, 14190, 532, 513, 1906, 2395, 547, 1714, 8985, 1101, 267, 646, 6569, 519, 4154, 543, 12617, 621, 676, 519, 2081, 728, 267, 13059, 547, 17743, 607, 1354, 538, 1010, 1200, 2466, 720, 269, 8921, 1554, 267, 1310, 513, 7594, 540, 7573, 693, 519, 4013, 781, 2777, 267, 519, 10841, 2045, 1767, 267, 834, 2005, 568, 1631, 513, 267, 1279, 942, 267, 27205, 267, 2094, 594, 3459, 547, 581, 6462, 676, 596, 282, 543, 547, 2661, 1279, 538, 835, 1747, 568, 269, 899, 2713, 538, 519, 1158, 267, 799, 568, 24193, 547, 8149, 10841, 7497, 269, 1280, 799, 2601, 594, 1590, 2115, 8977, 1701, 1656, 1498, 519, 4013, 20399, 1864, 547, 3251, 267, 4986, 1223, 7753, 713, 8990, 563, 257, 11039, 267, 1287, 267, 952, 621, 1590, 581, 865, 267, 979, 707, 1259, 267, 27205, 2437, 1767, 519, 4013, 282, 543, 646, 26603, 9285, 519, 10841, 2045, 547, 519, 856, 12921, 16630, 1354, 646, 2451, 1864, 269, 2991, 2469, 513, 2370, 1259, 519, 10841, 2045, 2219, 602, 621, 1131, 581, 513, 1434, 3364, 547, 22321, 519, 4013, 282, 865, 267, 8380, 513, 12450, 538, 1010, 1319, 1540, 4552, 267, 1394, 646, 5828, 1586, 269, 834, 1432, 6770, 596, 1394, 8119, 4280, 519, 4013, 269, 834, 288, 12450, 689, 707, 8122, 267, 27205, 267, 1185, 12758, 538, 1250, 4552, 282, 543, 267, 607, 649, 1200, 332, 1080, 949, 711, 1491, 4376, 799, 568, 711, 2016, 547, 721, 267, 594, 723, 4547, 621, 1394, 547, 596, 1701, 834, 1320, 992, 621, 1524, 267, 27205, 267, 543, 979, 707, 1259, 2437, 1767, 519, 4013, 267, 945, 2219, 267, 547, 5128, 267, 834, 3963, 267, 646, 4465, 1405, 1491, 865, 1454, 607, 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 ]
[ 2132, 2681, 692, 10233, 815, 2170, 263, 19651, 10233, 267, 2699, 14352, 271, 269, 271, 267, 272, 269, 271, 1070, 3039, 14352, 271, 269, 271, 267, 272, 269, 271, 1070, 4544, 14352, 271, 269, 271, 267, 272, 269, 271, 4297, 282, 7531, 258, 4534, 8894, 258, 2999, 320, 2012, 6889, 6016, 725, 257, 20565, 320, 11417, 258, 12361, 476, 276, 269, 21070, 18827, 543, 2480, 531, 541, 18527, 454, 258, 3097, 258, 12693, 21070, 18827, 454, 258, 3097, 258, 6271, 1455, 5106, 547, 1685, 593, 10321, 568, 1840, 269, 5565, 10321, 540, 519, 1482, 2450, 666, 581, 3773, 1927, 676, 4946, 519, 7222, 2609, 267, 547, 1106, 1776, 6152, 540, 519, 1482, 2450, 267, 1572, 519, 2040, 540, 519, 10321, 269, 1280, 1383, 912, 258, 3097, 258, 3230, 3097, 258, 1422, 3847, 314, 454, 258, 1422, 8218, 346, 9795, 8679, 258, 672, 476, 272, 476, 8607, 3097, 258, 672, 476, 736, 825, 454, 258, 476, 1422, 754, 346, 9795, 8679, 258, 476, 1422, 2431, 2639, 258, 476, 30492, 258, 1422, 3847, 314, 454, 258, 1422, 8218, 346, 9795, 8679, 258, 672, 476, 2420, 8607, 3097, 258, 672, 910, 274, 3097, 258, 476, 1422, 754, 346, 9795, 8679, 258, 476, 1422, 2431, 2639, 258, 567, 21591, 258, 1422, 3847, 314, 454, 258, 1422, 8218, 346, 9795, 8679, 258, 672, 476, 2537, 8607, 3097, 258, 672, 476, 1704, 3097, 258, 476, 1422, 754, 346, 9795, 8679, 258, 1422, 2431, 2639, 258, 3230, 454, 258, 3097, 258, 3371, 568, 1141, 1919, 1205, 16602, 538, 5124, 269, 476, 1403, 596, 2119, 547, 1039, 513, 1592, 610, 24042, 267, 5124, 1281, 711, 798, 519, 6152, 1840, 607, 649, 3989, 1657, 269, 769, 519, 1739, 1806, 267, 5469, 602, 519, 1079, 8638, 6677, 22760, 622, 3079, 540, 4946, 676, 3693, 281, 8528, 258, 769, 314, 9948, 1384, 454, 1012, 24199, 4959, 654, 305, 32670, 454, 320, 815, 1496, 272, 267, 476, 736, 2639, 321, 815, 1496, 2420, 16427, 274, 2639, 322, 815, 513, 17070, 454, 322, 7531, 258, 769, 314, 9948, 1384, 454, 1012, 24199, 4959, 9338, 12569, 654, 305, 32670, 454, 320, 815, 630, 272, 267, 476, 736, 994, 321, 815, 630, 2420, 16427, 274, 994, 322, 815, 513, 17070, 454, 322, 7531, 258, 1677, 798, 1697, 6152, 2979, 596, 991, 2901, 946, 513, 2027, 1599, 630, 933, 786, 1451, 891, 264, 610, 8520, 936, 519, 1592, 269, 476, 3371, 568, 513, 1360, 5187, 2065, 1383, 1384, 258, 769, 314, 9948, 1384, 454, 320, 815, 630, 272, 267, 476, 736, 994, 321, 815, 630, 2420, 16427, 274, 994, 322, 815, 11713, 1721, 1775, 538, 2039, 12759, 5416, 15892, 825, 524, 6910, 5416, 5157, 316, 1341, 536, 5157, 7481, 322, 7531, 258, 769, 314, 9948, 1384, 454, 3698, 1654, 322, 5417, 5416, 14720, 2187, 825, 5727, 31262, 547, 1039, 1079, 3160, 2450, 10321, 27969, 454, 825, 952, 630, 6352, 5416, 264, 11203, 7003, 6357, 15892, 1038, 6318, 1401, 4003, 3488, 13286, 910, 6152, 13080, 798, 711, 6474, 5073, 825, 524, 815, 11713, 825, 585, 1775, 538, 2039, 12759, 5416, 15892, 1038, 524, 6910, 5416, 5157, 316, 1341, 536, 5157, 7481, 825, 2132, 524, 7531, 258, 769, 314, 9948, 1384, 454, 258, 299, 1115, 1449, 621, 454, 11355, 5417, 5416, 14720, 9239, 258, 12693, 2480, 531, 541, 18527, 454, 258, 2423, 17067, 649, 3989, 2878, 318, 2675, 531, 541, 318, 1262, 607, 513, 1297, 269, 634, 2601, 1946, 649, 1289, 621, 513, 834, 2675, 531, 541, 257, 568, 1317, 950, 649, 9062, 513, 6152, 676, 513, 1297, 519, 12166, 6041, 540, 519, 1007, 6152, 568, 1869, 15738, 538, 519, 1482, 4287, 267, 855, 621, 814, 513, 1007, 3259, 267, 1775, 4318, 1421, 621, 729, 11324, 4705, 563, 258, 3097, 258, 1403, 649, 723, 519, 6152, 1269, 341, 815, 1422, 8218, 21421, 348, 476, 272, 8607, 476, 273, 17910, 21421, 4151, 543, 9062, 621, 676, 519, 22185, 476, 274, 1287, 649, 1205, 513, 1007, 6152, 3230, 274, 341, 815, 476, 274, 1422, 8218, 21421, 348, 476, 272, 8607, 476, 273, 17910, 21421, 348, 815, 476, 1422, 8218, 21421, 348, 476, 274, 24206, 476, 272, 8607, 476, 274, 24206, 476, 273, 17910, 21421, 348, 815, 1422, 8218, 21421, 348, 476, 274, 8607, 476, 277, 17910, 21421, 28021, 258, 3097, 258, 18564, 602, 22185, 8691, 630, 2421, 606, 8870, 264, 568, 1387, 698, 748, 547, 2834, 8691, 538, 602, 8691, 568, 1175, 7368, 1840, 267, 552, 3052, 1421, 1269, 274, 341, 815, 642, 266, 341, 266, 341, 259, 563, 258, 3097, 258, 2859, 3622, 267, 950, 649, 9062, 513, 6152, 1269, 341, 284, 1496, 341, 318, 272, 12101, 25854, 267, 341, 5332, 316, 259, 676, 1022, 1483, 22185, 1269, 320, 259, 649, 3489, 519, 6152, 1269, 822, 815, 1496, 320, 24206, 642, 318, 272, 12101, 25854, 28083, 24206, 642, 5332, 316, 10608, 3097, 258, 3097, 258, 1879, 649, 616, 1210, 9226, 8638, 547, 2099, 938, 10321, 519, 8691, 3090, 12181, 265, 1730, 568, 1982, 539, 547, 6677, 22760, 622, 2789, 12215, 540, 513, 1592, 269, 6423, 2630, 269, 8528, 258, 769, 314, 9948, 1384, 454, 1012, 8025, 3041, 4959, 654, 305, 32670, 1012, 3097, 345, 815, 476, 274, 454, 320, 815, 1496, 274, 16427, 278, 267, 1015, 2639, 322, 815, 1990, 265, 320, 454, 322, 7531, 258, 11088, 267, 538, 1931, 547, 798, 1697, 6152, 2979, 538, 5124, 596, 991, 2901, 946, 513, 2027, 1599, 630, 933, 786, 1451, 891, 264, 610, 8520, 936, 519, 1592, 269, 22322, 258, 3097, 258, 1299, 258, 4200, 279, 280, 282, 2878, 283, 31078, 2511, 6889, 10233, 281, 1042, 22969, 2710, 901, 281, 9572, 31078, 285, 1262, 476, 6423, 952, 596, 666, 1118, 513, 2241, 1599, 609, 513, 8520, 547, 9062, 513, 22185, 676, 513, 6152, 269, 8745, 707, 1599, 18889, 12364, 8548, 738, 17586, 3499, 543, 1449, 621, 1210, 519, 2281, 2630, 563, 258, 3097, 258, 2878, 9616, 269, 1262, 1411, 666, 3533, 6085, 270, 684, 1260, 618, 3009, 538, 513, 1591, 676, 1210, 519, 30246, 12181, 12252, 1341, 1315, 1730, 593, 513, 5672, 610, 12181, 31553, 1341, 1315, 1730, 593, 824, 6191, 269, 1280, 824, 13691, 695, 528, 25797, 538, 18347, 31940, 952, 596, 5749, 1405, 17511, 538, 513, 1591, 543, 2046, 519, 4484, 12181, 295, 1730, 513, 948, 10624, 786, 1402, 5346, 780, 258, 769, 314, 9948, 1384, 454, 258, 2322, 707, 521, 341, 8548, 738, 17586, 1599, 1934, 692, 258, 1219, 521, 341, 8548, 738, 17586, 4433, 267, 341, 2187, 258, 672, 2132, 476, 7531, 258, 769, 314, 9948, 1384, 454, 258, 14818, 707, 1599, 1934, 454, 338, 815, 476, 274, 454, 341, 815, 1496, 274, 16427, 278, 267, 1015, 2639, 12364, 8548, 738, 17586, 4433, 267, 341, 9239, 258, 2913, 721, 946, 519, 1739, 3009, 547, 1449, 707, 1187, 551, 517, 2417, 269, 8528, 258, 769, 314, 9948, 1384, 454, 5228, 1959, 2075, 515, 1188, 1104, 2638, 24987, 454, 13765, 24987, 6155, 564, 9229, 342, 7568, 902, 815, 8771, 454, 13765, 24987, 269, 19066, 4433, 341, 8548, 738, 17586, 263, 1015, 267, 314, 272, 267, 273, 267, 274, 267, 275, 25818, 262, 29300, 320, 277, 10623, 320, 278, 2190, 322, 2378, 6767, 5780, 629, 6795, 278, 272, 325, 276, 5655, 611, 325, 273, 262, 9239, 258, 769, 314, 9948, 1384, 454, 5228, 1959, 2075, 515, 1188, 1104, 2638, 24987, 454, 13765, 24987, 6155, 564, 9229, 342, 7568, 902, 815, 8771, 454, 13765, 24987, 269, 19066, 4433, 341, 8548, 738, 17586, 263, 274, 269, 15221, 6795, 267, 263, 272, 267, 273, 267, 274, 267, 275, 24270, 262, 325, 4097, 280, 1030, 278, 322, 2378, 2801, 6507, 322, 278, 322, 2537, 323, 7597, 273, 275, 1815, 272, 325, 323, 3607, 324, 262, 9239, 258, 2878, 9616, 602, 22185, 8691, 543, 1840, 1568, 4010, 519, 1482, 1259, 585, 14290, 269, 4373, 258, 4534, 8894, 258, 2999, 320, 2012, 6889, 15035, 318, 1260, 2125, 257, 20565, 320, 11417, 258, 12361, 476, 277, 269, 12430, 10395, 5209, 540, 10321, 454, 258, 3097, 258, 589, 5276, 4999, 540, 10321, 3096, 1312, 22185, 8691, 543, 6152, 1840, 563, 258, 3097, 258, 2913, 1269, 341, 318, 272, 12101, 25854, 267, 341, 5332, 259, 581, 513, 13113, 4015, 540, 10321, 630, 1993, 519, 1482, 3259, 264, 543, 1269, 320, 318, 272, 12101, 25854, 28083, 5332, 259, 581, 513, 13113, 4015, 540, 9470, 1513, 269, 634, 5276, 4999, 540, 519, 10321, 4399, 3847, 28381, 341, 10983, 9368, 315, 13925, 328, 284, 272, 11892, 333, 259, 609, 519, 9470, 1513, 4399, 3847, 28381, 320, 10983, 9368, 315, 13925, 328, 284, 272, 11892, 333, 259, 568, 519, 4082, 3097, 258, 3097, 258, 3230, 320, 318, 272, 642, 318, 272, 1341, 513, 318, 273, 642, 318, 273, 1341, 1422, 25854, 1341, 513, 5332, 642, 5332, 269, 16465, 258, 3097, 258, 1280, 1383, 952, 1269, 320, 318, 272, 815, 476, 274, 8961, 1269, 320, 318, 273, 815, 910, 273, 8961, 543, 1269, 320, 318, 274, 815, 476, 272, 269, 276, 8961, 543, 3230, 341, 318, 272, 815, 1422, 8218, 21421, 348, 476, 272, 8607, 476, 272, 8607, 476, 271, 8607, 476, 272, 1422, 754, 21421, 9574, 1422, 15153, 642, 318, 273, 815, 1422, 8218, 21421, 348, 476, 271, 8607, 476, 272, 8607, 476, 271, 8607, 910, 272, 1422, 754, 21421, 9574, 1422, 15153, 642, 318, 274, 31386, 8218, 21421, 348, 476, 273, 8607, 476, 277, 8607, 476, 275, 8607, 476, 279, 1422, 754, 21421, 6525, 1287, 519, 7222, 5276, 4999, 1269, 274, 642, 318, 272, 910, 273, 642, 318, 273, 1341, 272, 269, 276, 642, 318, 274, 259, 3947, 721, 513, 1007, 6152, 912, 258, 3097, 258, 3230, 476, 274, 17961, 21421, 348, 476, 272, 8607, 476, 272, 8607, 476, 271, 8607, 476, 272, 1422, 754, 21421, 348, 910, 273, 17961, 21421, 348, 476, 271, 8607, 476, 272, 8607, 476, 271, 8607, 910, 272, 1422, 754, 21421, 348, 1341, 272, 269, 276, 1422, 8218, 21421, 348, 476, 273, 8607, 476, 277, 8607, 476, 275, 8607, 476, 279, 1422, 754, 21421, 348, 1422, 15153, 7807, 15153, 454, 258, 1422, 8218, 21421, 348, 476, 274, 8607, 476, 274, 8607, 476, 271, 8607, 476, 274, 1422, 754, 21421, 348, 1341, 315, 8218, 21421, 348, 476, 271, 8607, 910, 273, 8607, 476, 271, 8607, 476, 273, 17910, 21421, 348, 1341, 1422, 8218, 21421, 348, 476, 274, 8607, 476, 280, 8607, 476, 277, 8607, 476, 1321, 1422, 754, 21421, 348, 1422, 15153, 7807, 15153, 454, 258, 1422, 8218, 21421, 348, 476, 277, 8607, 476, 1015, 8607, 476, 277, 8607, 476, 1704, 1422, 754, 21421, 348, 3230, 454, 258, 3097, 258, 1299, 258, 4200, 279, 280, 282, 2878, 283, 325, 2632, 2681, 284, 1042, 285, 23077, 24199, 281, 9572, 325, 2632, 285, 12533, 258, 2422, 519, 3252, 596, 5206, 1657, 12181, 11355, 5417, 1730, 543, 12181, 12364, 8548, 738, 17586, 1730, 547, 2328, 513, 1007, 1599, 602, 3217, 538, 513, 1592, 540, 9470, 1513, 543, 513, 1592, 540, 10321, 630, 21323, 676, 8638, 264, 543, 1939, 525, 519, 7222, 5276, 4999, 269, 11910, 519, 1599, 12181, 15035, 318, 18474, 1730, 780, 258, 769, 314, 9948, 1384, 454, 258, 3503, 707, 1599, 1934, 1384, 258, 1219, 5276, 318, 18474, 263, 2675, 531, 1513, 267, 27523, 2187, 258, 672, 2132, 476, 7531, 258, 769, 314, 9948, 1384, 454, 1012, 14818, 707, 1599, 692, 2675, 531, 1513, 815, 1496, 274, 16427, 273, 267, 272, 269, 276, 2639, 27523, 815, 20886, 272, 267, 272, 267, 271, 267, 272, 25662, 271, 267, 272, 267, 271, 16427, 272, 25662, 273, 267, 277, 267, 275, 267, 279, 316, 6540, 15035, 318, 18474, 263, 2675, 531, 1513, 267, 27523, 9239, 258, 769, 314, 9948, 1384, 454, 5228, 1959, 2075, 515, 1188, 1104, 2638, 24987, 454, 13765, 24987, 6155, 564, 9229, 342, 7568, 902, 815, 8771, 454, 13765, 24987, 269, 19066, 263, 15035, 318, 18474, 8443, 272, 16427, 272, 267, 273, 25662, 314, 272, 267, 272, 267, 272, 25662, 271, 267, 272, 267, 272, 267, 25662, 272, 267, 271, 267, 272, 14963, 1070, 262, 7785, 4029, 321, 272, 539, 659, 325, 6767, 275, 321, 272, 325, 275, 324, 8578, 4510, 576, 321, 4962, 277, 11011, 262, 9239, 258, 1299, 258, 4200, 279, 280, 282, 2878, 283, 325, 2632, 2681, 284, 1042, 285, 289, 517, 639, 7726, 281, 9572, 325, 2632, 285, 12533, 258, 4855, 513, 4015, 540, 9470, 1513, 602, 2982, 602, 519, 6152, 1269, 341, 815, 1422, 8218, 21421, 348, 910, 273, 8607, 476, 274, 476, 8607, 476, 273, 1422, 754, 21421, 4151, 568, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12664, 263, 343, 264, 3436, 476, 271, 2340, 18568, 1535, 6629, 273, 1535, 274, 3436, 271, 2340, 18568, 1535, 3287, 1107, 476, 273, 264, 3436, 476, 271, 630, 304, 1535, 275, 568, 2141, 2318, 264, 2340, 18568, 1535, 17995, 630, 1700, 31236, 907, 476, 271, 264, 3980, 359, 630, 272, 907, 476, 273, 264, 543, 13302, 538, 1535, 17995, 630, 273, 1862, 649, 1205, 535, 3287, 264, 568, 2810, 538, 1535, 2999, 476, 271, 543, 13302, 538, 1535, 17995, 630, 271, 2807, 535, 3287, 264, 568, 2810, 538, 1535, 17995, 630, 272, 269, 3980, 508, 264, 26157, 609, 1535, 2999, 476, 272, 269, 1775, 907, 1677, 6961, 1657, 8635, 269, 513, 3436, 476, 271, 269, 476, 272, 1535, 476, 272, 6629, 333, 26157, 630, 328, 264, 543, 630, 4512, 1040, 476, 271, 264, 3980, 359, 630, 273, 15301, 328, 264, 6567, 272, 476, 273, 476, 273, 6629, 343, 1341, 476, 274, 815, 1535, 273, 1535, 1535, 274, 1280, 2810, 535, 12664, 263, 343, 264, 3436, 476, 271, 2340, 18568, 630, 273, 1107, 1535, 264, 3436, 476, 271, 630, 304, 1535, 274, 568, 2318, 264, 2340, 18568, 630, 343, 1107, 476, 273, 264, 2999, 476, 271, 2340, 18568, 1535, 283, 273, 9256, 609, 1535, 3436, 476, 272, 907, 1547, 476, 273, 264, 543, 14553, 13302, 593, 1535, 17995, 630, 271, 2807, 1535, 9881, 510, 476, 271, 25620, 359, 815, 25620, 357, 1535, 343, 6629, 476, 272, 25620, 359, 1547, 1535, 2999, 476, 272, 907, 25620, 350, 476, 272, 476, 272, 25620, 353, 6567, 476, 272, 6629, 333, 25620, 354, 535, 12664, 263, 343, 264, 815, 562, 3287, 815, 476, 272, 264, 333, 1700, 272, 1107, 562, 343, 333, 1700, 272, 815, 25620, 351, 476, 272, 6629, 333, 1535, 25620, 354, 25620, 351, 630, 1535, 1341, 476, 272, 264, 25620, 352, 25620, 355, 25620, 505, 320, 25620, 508, 25620, 505, 320, 414, 492, 508, 25620, 506, 1341, 476, 272, 414, 492, 509, 18016, 25620, 506, 25620, 509, 1341, 476, 272, 25620, 507, 321, 25620, 510, 25620, 507, 321, 414, 492, 510, 562, 562, 10371, 649, 1205, 535, 3287, 264, 568, 14553, 2810, 593, 1535, 17995, 630, 1700, 31236, 15301, 328, 264, 2015, 1535, 266, 272, 285, 343, 2340, 18568, 630, 343, 1341, 476, 272, 264, 272, 1700, 333, 3436, 1535, 272, 1700, 333, 2340, 18568, 476, 272, 630, 1535, 1341, 476, 272, 264, 476, 272, 6629, 333, 630, 304, 476, 272, 1107, 562, 3436, 476, 271, 264, 3267, 649, 666, 2161, 535, 12664, 263, 343, 264, 2999, 476, 271, 2340, 18568, 535, 3287, 264, 568, 513, 13302, 1599, 3980, 478, 1535, 3436, 476, 271, 6333, 1535, 21759, 476, 271, 535, 3287, 264, 18016, 535, 263, 271, 264, 1627, 535, 3287, 264, 568, 513, 13302, 1599, 2340, 18568, 535, 3287, 264, 18016, 476, 271, 2340, 18568, 630, 343, 1341, 476, 272, 264, 333, 1107, 1535, 333, 1107, 476, 272, 18016, 476, 271, 2340, 18568, 630, 343, 1341, 476, 272, 264, 333, 18016, 1535, 333, 1341, 476, 272, 9747, 9863, 8525, 1948, 476, 1015, 269, 7078, 2433, 476, 1240, 4855, 519, 11996, 540, 27865, 4577, 640, 540, 519, 1599, 535, 3287, 264, 815, 8827, 634, 2016, 1599, 535, 3287, 264, 666, 581, 2854, 607, 2433, 1923, 1535, 6567, 476, 272, 347, 1535, 273, 1923, 1535, 6567, 476, 272, 347, 1535, 273, 535, 3287, 264, 815, 25620, 356, 272, 6567, 1535, 25620, 359, 476, 273, 1547, 536, 3436, 476, 271, 543, 476, 271, 18016, 562, 18016, 476, 272, 8827, 1284, 1616, 547, 6961, 602, 630, 320, 1341, 536, 264, 333, 18016, 606, 1341, 536, 333, 1775, 269, 3980, 508, 264, 1547, 324, 4318, 907, 3980, 508, 264, 7151, 2433, 476, 866, 28171, 602, 630, 320, 1341, 536, 264, 333, 18016, 606, 1341, 536, 333, 3267, 780, 1103, 824, 1913, 535, 3287, 264, 2242, 689, 13302, 547, 2810, 693, 1535, 815, 476, 272, 27160, 9747, 1535, 815, 476, 272, 27160, 568, 513, 1448, 540, 2199, 5021, 10871, 5934, 1871, 815, 630, 272, 27160, 264, 272, 27160, 815, 552, 1700, 272, 27160, 1547, 8525, 1948, 476, 1556, 269, 476, 271, 25620, 509, 3980, 359, 25620, 506, 476, 271, 269, 8827, 2913, 535, 3287, 264, 815, 586, 815, 1535, 343, 2340, 18568, 2845, 586, 815, 1535, 2845, 1535, 2340, 18568, 2340, 18568, 476, 272, 10085, 476, 272, 586, 15848, 815, 1535, 1535, 1341, 2845, 1535, 10085, 815, 1535, 343, 630, 272, 1341, 2845, 1535, 264, 15848, 535, 12664, 263, 343, 264, 815, 476, 271, 2340, 18568, 1535, 343, 630, 272, 1341, 2845, 1535, 264, 815, 476, 271, 2340, 18568, 2845, 1535, 815, 1107, 476, 272, 2340, 18568, 1535, 815, 552, 1700, 272, 815, 476, 272, 27160, 6396, 1107, 594, 535, 12664, 263, 343, 264, 815, 1535, 343, 630, 272, 1341, 2845, 343, 264, 535, 12664, 263, 343, 264, 815, 1535, 343, 2845, 608, 1535, 2999, 476, 272, 27160, 608, 2999, 476, 272, 2340, 18568, 535, 12664, 263, 343, 264, 2999, 476, 271, 1535, 3436, 476, 272, 27160, 608, 3436, 476, 272, 2340, 18568, 535, 12664, 263, 343, 264, 3436, 476, 271, 634, 1129, 540, 535, 12664, 263, 343, 264, 2242, 689, 1107, 557, 547, 1341, 557, 1472, 1535, 815, 476, 272, 27160, 269, 4855, 519, 8884, 538, 799, 18494, 1058, 9114, 538, 1931, 602, 535, 3287, 264, 814, 4010, 835, 5934, 543, 4010, 835, 5021, 269, 535, 12664, 263, 343, 264, 815, 476, 274, 5609, 273, 343, 5430, 1535, 1341, 476, 273, 5609, 1535, 5430, 1535, 6398, 18494, 535, 12664, 263, 343, 264, 815, 476, 271, 2340, 18568, 476, 273, 16575, 25620, 508, 25620, 505, 25620, 509, 815, 271, 476, 274, 5609, 1535, 5430, 1535, 25620, 506, 5609, 1535, 1341, 476, 274, 25620, 510, 25620, 507, 2340, 18568, 5609, 1535, 815, 476, 271, 610, 5430, 1535, 815, 476, 271, 610, 5609, 1535, 815, 6567, 273, 16575, 476, 274, 5430, 1535, 815, 476, 271, 568, 711, 2009, 538, 519, 2016, 8884, 269, 891, 666, 711, 581, 1079, 15654, 2798, 540, 2199, 5021, 610, 2199, 5934, 269, 1284, 786, 4019, 519, 2034, 12045, 1449, 538, 1034, 540, 519, 2042, 269, 7151, 2433, 476, 2641, 2913, 535, 3287, 264, 815, 5609, 274, 343, 1341, 18494, 5609, 273, 343, 1141, 1107, 12631, 270, 273, 2999, 1535, 2999, 12631, 270, 273, 269, 1452, 2099, 1079, 3982, 2418, 540, 1535, 952, 2433, 630, 328, 264, 18494, 9881, 510, 476, 271, 1317, 6382, 1535, 815, 476, 271, 786, 581, 519, 1152, 1871, 630, 4512, 264, 1107, 476, 272, 2999, 1107, 476, 273, 18494, 270, 274, 2999, 476, 272, 2340, 18568, 476, 274, 270, 273, 3436, 18494, 3436, 1107, 274, 270, 273, 585, 4010, 835, 5021, 543, 1152, 835, 5934, 891, 2175, 1590, 581, 13854, 676, 18494, 1775, 269, 1547, 8827, 535, 3287, 264, 815, 5609, 274, 343, 1341, 18494, 5609, 273, 343, 269, 9747, 535, 12664, 263, 343, 264, 815, 476, 271, 693, 1079, 3982, 2798, 786, 1611, 602, 835, 568, 2199, 5021, 543, 519, 824, 568, 2199, 5934, 269, 25620, 509, 476, 273, 25620, 510, 25620, 507, 25620, 507, 476, 273, 414, 492, 510, 4595, 535, 3287, 264, 568, 6024, 543, 1114, 4192, 1599, 269, 2340, 18568, 1535, 815, 476, 271, 543, 1535, 815, 5609, 1700, 272, 630, 1700, 273, 16575, 270, 274, 264, 616, 1079, 2009, 2418, 540, 1535, 269, 1452, 1058, 581, 14595, 269, 25620, 505, 476, 274, 25620, 508, 25620, 505, 476, 274, 414, 492, 508, 18494, 17995, 25620, 506, 6567, 1547, 7078, 2433, 476, 736, 4855, 519, 2199, 5021, 543, 2199, 5934, 2418, 540, 519, 1599, 586, 815, 1535, 343, 269, 6396, 1107, 4083, 535, 12664, 12664, 263, 343, 264, 815, 630, 272, 1341, 2845, 1535, 264, 25620, 505, 476, 272, 414, 492, 508, 546, 1535, 1535, 1341, 1535, 343, 25620, 506, 25620, 509, 815, 1535, 343, 630, 272, 1341, 2845, 1535, 264, 273, 1341, 1535, 343, 1700, 272, 15848, 25620, 507, 343, 414, 492, 510, 535, 12664, 12664, 630, 272, 27160, 264, 815, 476, 271, 1341, 630, 324, 7565, 324, 1700, 272, 8358, 324, 3436, 476, 271, 269, 9747, 1535, 815, 476, 272, 27160, 568, 513, 1448, 540, 2199, 5934, 10871, 5934, 1871, 568, 630, 272, 27160, 264, 272, 27160, 815, 552, 1700, 272, 27160, 1547, 8074, 1547, 324, 780, 2252, 476, 273, 343, 581, 519, 8700, 540, 519, 13551, 543, 586, 581, 519, 4463, 269, 634, 2698, 1858, 540, 6885, 568, 6378, 269, 2913, 1287, 1942, 540, 5377, 815, 12652, 269, 2913, 476, 273, 343, 581, 519, 8700, 540, 519, 13551, 543, 586, 581, 519, 4463, 269, 737, 829, 13483, 332, 269, 11192, 1942, 815, 1942, 540, 5377, 1341, 1942, 540, 824, 8188, 815, 737, 263, 273, 343, 273, 264, 1341, 476, 274, 343, 630, 275, 15383, 1341, 476, 273, 15383, 1341, 476, 273, 343, 273, 264, 815, 476, 273, 330, 815, 476, 273, 330, 630, 275, 343, 273, 1341, 476, 280, 15383, 264, 476, 273, 26332, 3215, 586, 1210, 595, 815, 476, 273, 343, 586, 269, 2913, 519, 8953, 540, 5858, 581, 1535, 269, 1858, 540, 12931, 22511, 815, 12631, 263, 273, 288, 3738, 12631, 288, 815, 630, 12631, 1341, 476, 275, 264, 273, 12631, 266, 275, 12631, 288, 476, 275, 288, 815, 12631, 266, 275, 12631, 266, 275, 1858, 540, 13551, 815, 589, 1107, 2340, 18568, 5223, 540, 519, 2127, 540, 1079, 2694, 815, 12631, 476, 275, 7151, 2433, 476, 2537, 589, 4216, 540, 3586, 4320, 595, 568, 547, 581, 7466, 607, 1279, 607, 621, 568, 2647, 269, 1547, 2340, 18568, 589, 815, 476, 273, 15383, 1341, 12631, 270, 273, 1535, 273, 32309, 630, 303, 264, 815, 476, 273, 343, 1341, 476, 273, 344, 1341, 12631, 1535, 589, 568, 6378, 543, 623, 568, 547, 581, 6922, 2213, 26332, 3215, 586, 269, 623, 3287, 264, 815, 476, 273, 343, 1341, 12631, 343, 1341, 476, 272, 1535, 476, 273, 25620, 505, 25620, 506, 589, 6567, 12631, 343, 25620, 506, 476, 273, 25620, 507, 25620, 508, 25620, 509, 25620, 509, 25620, 510, 623, 12664, 263, 343, 264, 815, 476, 273, 1341, 12631, 1107, 589, 24474, 273, 1107, 12631, 270, 273, 623, 12664, 263, 343, 264, 815, 476, 271, 2340, 18568, 1535, 284, 476, 273, 288, 12631, 266, 275, 623, 12664, 12664, 263, 343, 264, 815, 476, 273, 288, 24474, 274, 3436, 476, 271, 2340, 18568, 32309, 568, 5934, 585, 1535, 815, 476, 273, 288, 12631, 266, 275, 585, 5934, 15943, 269, 11730, 815, 595, 815, 476, 273, 343, 273, 344, 269, 1548, 1058, 581, 519, 5223, 540, 519, 2127, 540, 519, 10859, 2275, 1844, 983, 851, 543, 519, 14328, 851, 865, 602, 519, 2698, 15943, 568, 5934, 286, 8827, 2913, 589, 581, 519, 2698, 1858, 540, 519, 6885, 269, 11192, 1942, 815, 476, 273, 330, 630, 275, 343, 273, 1341, 476, 280, 290, 270, 273, 343, 264, 11192, 1942, 568, 547, 581, 6922, 2213, 269, 7078, 2433, 476, 2537, 589, 9486, 568, 538, 519, 1106, 540, 513, 13551, 1147, 25236, 539, 676, 513, 10859, 2275, 22511, 269, 634, 1942, 829, 1770, 1858, 540, 519, 1570, 593, 519, 1283, 543, 2185, 5011, 8188, 568, 1614, 2053, 519, 1942, 585, 5377, 269, 1548, 616, 519, 1034, 22237, 7516, 540, 519, 4216, 286, 8827, 2913, 476, 273, 343, 581, 519, 3259, 269, 1535, 581, 519, 8700, 543, 586, 581, 519, 4463, 540, 519, 4216, 269, 25620, 505, 476, 273, 476, 280, 290, 25620, 508, 25620, 509, 2913, 2698, 1942, 815, 535, 3287, 264, 815, 476, 273, 330, 25620, 506, 476, 275, 1535, 1341, 476, 273, 343, 25620, 510, 25620, 507, 476, 280, 322, 25620, 508, 25620, 505, 535, 12664, 263, 343, 264, 815, 476, 273, 330, 25620, 506, 476, 279, 1535, 6567, 476, 273, 25620, 509, 476, 273, 343, 25620, 510, 25620, 507, 535, 12664, 263, 343, 264, 815, 476, 271, 2340, 18568, 25620, 505, 476, 280, 290, 25620, 508, 25620, 509, 1535, 284, 25620, 506, 25620, 507, 476, 1626, 25620, 510, 476, 272, 270, 476, 274, 476, 279, 343, 1107, 476, 280, 322, 476, 273, 343, 476, 273, 815, 271, 2340, 18568, 8525, 1948, 476, 1321, 780, 414, 492, 506, 25620, 507, 476, 10037, 25620, 510, 595, 476, 273, 343, 476, 273, 476, 272, 270, 476, 274, 595, 25620, 505, 476, 1626, 25620, 508, 25620, 506, 25620, 509, 815, 476, 273, 25620, 507, 476, 280, 290, 25620, 510, 476, 273, 270, 274, 25620, 505, 476, 3953, 290, 25620, 508, 25620, 509, 815, 25620, 506, 25620, 507, 476, 10037, 25620, 510, 476, 272, 270, 476, 274, 25620, 505, 476, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1598, 272, 815, 1412, 7055, 1598, 273, 815, 1412, 613, 4060, 28847, 258, 1065, 337, 568, 1031, 547, 1820, 519, 5569, 2059, 609, 519, 10530, 454, 2745, 630, 516, 1440, 19304, 272, 543, 1193, 273, 4297, 1948, 16849, 1193, 272, 3097, 2745, 630, 516, 1440, 19304, 273, 543, 1193, 272, 4297, 1948, 16849, 1193, 272, 454, 2745, 630, 516, 1440, 19304, 272, 610, 1193, 273, 4297, 1948, 16849, 1193, 273, 3097, 2745, 630, 516, 1440, 19304, 273, 610, 1193, 272, 4297, 1948, 16849, 1193, 273, 692, 1598, 272, 815, 1412, 1721, 28847, 2745, 630, 516, 1440, 19304, 272, 543, 1193, 273, 4297, 1948, 16849, 1193, 273, 3097, 2745, 630, 516, 1440, 19304, 273, 543, 1193, 272, 4297, 1948, 16849, 1193, 272, 454, 2745, 630, 516, 1440, 19304, 272, 610, 1193, 273, 4297, 1948, 16849, 1193, 272, 3097, 2745, 630, 516, 1440, 19304, 273, 610, 1193, 272, 4297, 1948, 16849, 1193, 273, 7531, 0, 258, 5124, 3009, 547, 6542, 519, 2324, 540, 454, 258, 1775, 5417, 3890, 543, 12835, 13906, 10797, 258, 1104, 532, 11346, 547, 6023, 11346, 4238, 454, 5814, 11346, 692, 258, 1210, 1775, 5417, 3890, 547, 1039, 543, 3651, 1871, 454, 343, 815, 11346, 269, 328, 5417, 263, 273, 267, 476, 274, 2020, 258, 8228, 519, 9168, 1871, 454, 2745, 2891, 763, 1871, 1310, 4946, 543, 26471, 2433, 14307, 1439, 284, 3269, 994, 2745, 3287, 2020, 258, 3355, 1944, 2418, 454, 344, 815, 834, 613, 4060, 5016, 345, 815, 834, 1721, 613, 4060, 5016, 258, 1210, 12835, 13906, 3890, 547, 6677, 520, 519, 9696, 454, 344, 815, 11346, 269, 6625, 13906, 12169, 267, 1990, 2020, 258, 1210, 12835, 13906, 3890, 547, 6677, 520, 9696, 454, 2745, 2891, 763, 5569, 1310, 6677, 22760, 566, 568, 2433, 14307, 1439, 284, 3269, 994, 2745, 12169, 994, 0, 305, 3298, 25507, 9272, 2891, 8923, 9373, 634, 7089, 2986, 681, 3298, 281, 27328, 1721, 1775, 538, 2039, 263, 272, 267, 305, 3298, 266, 272, 2187, 825, 1820, 3488, 1412, 16732, 305, 3298, 25829, 11924, 262, 265, 262, 16732, 273, 265, 328, 268, 272, 4297, 0, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 11907, 2187, 1038, 1582, 16000, 22561, 454, 1038, 1582, 16192, 22561, 454, 1038, 1582, 21606, 284, 11907, 454, 825, 1219, 23453, 4311, 267, 11907, 2187, 1038, 10917, 284, 11966, 16597, 994, 1038, 952, 1582, 21606, 912, 2018, 952, 1239, 27045, 1345, 21606, 912, 3546, 952, 1582, 16000, 2525, 14085, 912, 7386, 1582, 16000, 284, 31184, 454, 3546, 3116, 912, 7386, 1582, 16000, 269, 11900, 1068, 16597, 994, 2018, 8640, 16597, 285, 1345, 21606, 2187, 3546, 952, 1582, 16192, 2525, 14085, 912, 7386, 1582, 16192, 284, 31184, 454, 3546, 3116, 912, 7386, 1582, 16192, 269, 11900, 1068, 16597, 994, 1038, 3116, 912, 2018, 1582, 21606, 284, 11907, 454, 825, 1219, 3004, 951, 531, 4311, 2187, 1038, 952, 1582, 16000, 912, 2018, 1582, 16000, 269, 9199, 951, 531, 4590, 1038, 1820, 4311, 21606, 267, 754, 6889, 19515, 1038, 952, 1582, 16192, 912, 2018, 1582, 16192, 269, 9199, 951, 531, 4590, 825, 1219, 769, 4650, 4311, 267, 10174, 2187, 1038, 952, 3597, 912, 2018, 1582, 16638, 4650, 20172, 16000, 994, 2018, 1820, 20172, 21606, 267, 754, 6889, 19515, 2018, 1582, 16638, 4650, 20172, 16192, 994, 825, 1219, 2776, 4650, 4311, 267, 10174, 2187, 1038, 952, 3597, 912, 2018, 1820, 20172, 21606, 267, 754, 6889, 19515, 2018, 1582, 269, 7093, 4650, 20172, 16000, 994, 2018, 1582, 269, 7093, 4650, 20172, 16192, 994, 825, 1219, 5403, 4650, 4311, 267, 10174, 2187, 1038, 952, 3597, 912, 2018, 1582, 269, 8070, 4650, 20172, 16000, 994, 2018, 1582, 269, 8070, 4650, 20172, 16192, 994, 2018, 1820, 20172, 21606, 267, 754, 6889, 19515, 29728, 284, 11966, 263, 1015, 994, 1721, 1775, 538, 1496, 272, 267, 273, 267, 274, 267, 273, 267, 5780, 267, 274, 14158, 825, 3529, 269, 11900, 1068, 9217, 994, 2745, 2891, 307, 516, 3004, 951, 531, 281, 14307, 754, 284, 3269, 994, 29728, 269, 9199, 951, 531, 4590, 2745, 19629, 333, 1103, 4650, 3004, 951, 531, 24333, 754, 284, 3269, 13211, 29728, 16638, 4650, 6025, 872, 994, 2745, 19629, 333, 7093, 18344, 3004, 951, 531, 281, 14307, 754, 284, 3269, 994, 29728, 269, 7093, 4650, 6025, 872, 994, 2745, 19629, 333, 8070, 4650, 3004, 951, 531, 281, 14307, 754, 284, 3269, 994, 29728, 269, 8070, 4650, 6025, 872, 994, 2745, 4590, 0, 258, 8340, 519, 2040, 540, 519, 9704, 538, 519, 1297, 476, 1911, 2439, 5814, 2979, 692, 3698, 2040, 6958, 659, 3799, 2567, 3097, 825, 2040, 815, 476, 271, 454, 825, 1193, 6958, 659, 815, 1193, 263, 4118, 269, 2399, 3645, 3799, 4917, 825, 585, 1775, 538, 2039, 12759, 19304, 6958, 659, 15892, 1038, 2040, 815, 2040, 1341, 703, 19304, 6958, 659, 5157, 7481, 825, 1820, 4433, 636, 2020, 8528, 8999, 6958, 659, 263, 1911, 264, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 16482, 258, 14644, 547, 1205, 513, 1906, 834, 26074, 995, 257, 12612, 856, 540, 4757, 267, 2016, 513, 1268, 563, 12163, 11845, 270, 5503, 630, 7473, 290, 994, 5228, 2232, 454, 1729, 9607, 454, 764, 9607, 454, 6135, 540, 519, 1257, 454, 20701, 5814, 2415, 27785, 267, 30220, 267, 15259, 267, 4584, 548, 267, 4351, 267, 556, 267, 5569, 267, 19523, 454, 5814, 4757, 9078, 756, 267, 23686, 573, 325, 692, 335, 32242, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 5560, 525, 5524, 8782, 11514, 2452, 930, 834, 26074, 995, 257, 315, 454, 825, 12612, 267, 2016, 4757, 1063, 596, 543, 1776, 1268, 269, 5073, 3097, 335, 32242, 14491, 318, 30348, 3488, 1889, 22779, 825, 948, 8782, 20365, 4757, 2232, 5073, 335, 32242, 14491, 318, 30348, 3488, 9008, 318, 16942, 619, 22779, 825, 948, 8782, 1492, 4757, 2232, 540, 519, 1268, 596, 1616, 547, 1205, 12612, 689, 22779, 825, 562, 16911, 8782, 265, 5073, 335, 32242, 14491, 318, 30348, 3488, 734, 11034, 5091, 622, 22779, 825, 9949, 8782, 1822, 272, 268, 4905, 268, 4905, 22779, 825, 948, 8782, 1492, 1376, 4266, 630, 514, 5477, 264, 540, 519, 2039, 596, 1616, 547, 3406, 267, 538, 315, 454, 16875, 3898, 962, 312, 312, 312, 5336, 300, 5937, 291, 5073, 335, 32242, 14491, 318, 30348, 3488, 734, 754, 5091, 622, 22779, 825, 9949, 8782, 15886, 280, 268, 1321, 268, 1789, 22779, 825, 948, 8782, 1492, 1439, 4266, 630, 514, 5477, 264, 540, 519, 2039, 596, 1616, 547, 3406, 267, 538, 3898, 315, 454, 16875, 962, 312, 312, 312, 5336, 300, 5937, 291, 5073, 335, 32242, 14491, 318, 30348, 3488, 268, 335, 3299, 1412, 734, 655, 5661, 24786, 22779, 825, 948, 8782, 1492, 2619, 547, 519, 15682, 609, 782, 519, 15737, 5073, 335, 32242, 14491, 318, 30348, 3488, 268, 333, 3299, 1412, 734, 11133, 5334, 333, 2089, 1115, 3299, 1826, 25507, 267, 9949, 284, 274, 2676, 825, 948, 8782, 1492, 1297, 540, 12612, 547, 1205, 630, 704, 1283, 4757, 518, 264, 5073, 335, 32242, 14491, 318, 30348, 3488, 734, 338, 333, 2089, 564, 15220, 1513, 3299, 1826, 25507, 267, 9949, 284, 6110, 2676, 825, 948, 8782, 1492, 16977, 1297, 540, 3197, 538, 1142, 6256, 5073, 335, 32242, 14491, 318, 30348, 3488, 734, 2224, 318, 4486, 5320, 3299, 9949, 18989, 2676, 825, 948, 8782, 604, 1305, 267, 946, 20438, 12805, 630, 3697, 834, 331, 913, 8442, 547, 1265, 12612, 5073, 335, 32242, 14491, 318, 30348, 3488, 734, 2224, 4671, 325, 573, 325, 3299, 9949, 18989, 2676, 825, 948, 8782, 604, 1305, 267, 946, 570, 293, 268, 2839, 293, 5690, 547, 4584, 12612, 1759, 593, 1913, 602, 1412, 30492, 1363, 1412, 9767, 946, 609, 602, 1268, 811, 982, 1034, 1004, 5073, 335, 32242, 14491, 318, 30348, 3488, 734, 2224, 318, 718, 6831, 2355, 3299, 9949, 18989, 2676, 825, 948, 8782, 604, 1305, 267, 4584, 12612, 602, 723, 513, 2262, 538, 782, 11503, 9538, 2020, 16911, 815, 16163, 518, 269, 27785, 318, 16911, 10797, 604, 711, 630, 16911, 269, 2224, 318, 4486, 5320, 610, 26571, 269, 2224, 4671, 325, 573, 325, 610, 26571, 269, 2224, 318, 718, 6831, 2355, 2187, 825, 19523, 20216, 527, 2891, 2791, 1590, 1305, 693, 2547, 835, 1259, 547, 1265, 12612, 269, 834, 1341, 315, 454, 17264, 834, 2521, 1547, 270, 2102, 4733, 5334, 333, 2089, 1115, 910, 327, 585, 3877, 1701, 2020, 11034, 5091, 622, 815, 30220, 6155, 520, 8135, 269, 1598, 696, 830, 263, 16911, 269, 11034, 5091, 622, 267, 4757, 9078, 756, 6185, 12442, 318, 19489, 21316, 994, 754, 5091, 622, 815, 30220, 6155, 520, 8135, 269, 1598, 696, 830, 263, 16911, 269, 754, 5091, 622, 267, 4757, 9078, 756, 6185, 12442, 318, 19489, 21316, 9385, 454, 825, 1341, 30220, 6745, 574, 539, 12265, 5560, 904, 284, 272, 994, 258, 17006, 513, 1554, 547, 7520, 16198, 269, 901, 568, 2870, 513, 4266, 693, 476, 876, 281, 876, 281, 876, 2676, 258, 865, 952, 1439, 4266, 568, 2904, 476, 274, 267, 1577, 781, 5635, 547, 519, 1101, 2034, 540, 2904, 476, 275, 267, 711, 519, 454, 258, 1101, 2034, 540, 2904, 476, 274, 780, 258, 16849, 2436, 519, 4757, 1058, 1256, 581, 2808, 607, 513, 2009, 11134, 454, 258, 630, 604, 621, 568, 1063, 519, 1318, 1004, 267, 543, 952, 519, 4266, 568, 15502, 994, 3698, 568, 318, 16942, 318, 20777, 263, 16942, 267, 803, 267, 1283, 318, 16942, 518, 2187, 825, 568, 318, 2431, 318, 15161, 31386, 454, 1038, 630, 9008, 318, 16942, 518, 2652, 4757, 269, 5228, 318, 5417, 816, 543, 803, 538, 4757, 30419, 318, 5417, 19843, 264, 610, 315, 454, 1038, 630, 9008, 318, 16942, 518, 538, 4757, 30419, 318, 5417, 19843, 543, 803, 2652, 4757, 269, 5228, 318, 5417, 816, 994, 825, 1948, 570, 7495, 302, 5510, 676, 9625, 276, 31477, 1813, 547, 942, 345, 2158, 269, 5213, 1405, 1416, 585, 1631, 267, 855, 1131, 454, 825, 1948, 581, 8799, 547, 4368, 14693, 563, 825, 568, 5091, 622, 318, 758, 599, 815, 4757, 6155, 622, 13843, 1376, 5091, 622, 543, 4757, 6155, 622, 10922, 1439, 5091, 622, 454, 825, 2132, 568, 318, 2431, 318, 15161, 543, 568, 5091, 622, 318, 758, 599, 692, 3698, 4894, 4671, 337, 333, 4433, 2567, 14030, 4449, 25639, 454, 825, 2132, 521, 18622, 2897, 28361, 333, 3299, 1412, 1412, 1040, 516, 2897, 28361, 337, 3299, 1412, 1412, 1040, 516, 2897, 28361, 339, 3299, 1412, 1412, 2020, 572, 8540, 518, 18316, 815, 1930, 3488, 1263, 1501, 4877, 1157, 548, 3299, 1412, 337, 5073, 338, 27542, 26000, 8540, 518, 815, 4584, 548, 269, 4462, 335, 1157, 2401, 263, 572, 8540, 518, 18316, 1040, 2903, 4590, 258, 6271, 1259, 547, 1205, 519, 4845, 26000, 8540, 518, 630, 663, 4440, 811, 4013, 264, 568, 547, 454, 258, 4647, 621, 689, 562, 2741, 330, 781, 1239, 4647, 518, 630, 333, 2741, 330, 3820, 7933, 1092, 11258, 1070, 543, 1287, 1289, 912, 258, 4845, 26000, 8540, 518, 815, 562, 2741, 330, 21606, 269, 2903, 3488, 339, 7505, 9088, 9706, 6064, 339, 270, 1263, 1501, 4877, 1157, 548, 262, 9239, 339, 325, 573, 325, 318, 6919, 28121, 8679, 604, 26571, 269, 2224, 4671, 325, 573, 325, 912, 825, 585, 1283, 318, 16942, 518, 538, 26571, 6745, 641, 318, 16942, 619, 912, 1038, 23686, 573, 325, 318, 6919, 314, 9008, 318, 16942, 518, 316, 815, 1496, 5320, 23962, 314, 271, 316, 585, 2262, 23962, 538, 315, 454, 2018, 23686, 573, 325, 10947, 318, 684, 639, 783, 318, 6919, 263, 16911, 269, 655, 5661, 24786, 267, 26571, 269, 1889, 267, 1283, 318, 16942, 518, 25011, 271, 281, 1321, 27663, 1038, 1948, 1820, 1412, 4462, 639, 783, 1913, 609, 1412, 1341, 1283, 318, 16942, 518, 454, 1038, 1948, 585, 2262, 538, 23686, 573, 325, 318, 6919, 314, 9008, 318, 16942, 518, 14158, 1038, 1948, 672, 1820, 2262, 454, 1038, 1948, 1820, 8528, 258, 1628, 621, 856, 2394, 621, 781, 4114, 6256, 15220, 1513, 3259, 454, 258, 1923, 338, 550, 1878, 347, 815, 782, 5220, 538, 519, 4757, 267, 1923, 8161, 347, 815, 4994, 540, 12805, 2262, 454, 3698, 1628, 9078, 784, 5334, 333, 2089, 564, 4433, 550, 1878, 267, 4994, 2187, 825, 3193, 28747, 815, 476, 272, 269, 273, 2608, 26571, 4732, 333, 2089, 564, 15220, 1513, 454, 825, 1279, 5334, 333, 2089, 564, 815, 5220, 27709, 2639, 825, 1376, 16229, 815, 4994, 1948, 4994, 540, 12805, 2262, 454, 825, 1439, 16229, 815, 4994, 1341, 476, 272, 454, 825, 1247, 7003, 10857, 784, 5334, 333, 2089, 564, 264, 2999, 26571, 4732, 333, 2089, 564, 15220, 1513, 912, 1038, 952, 1439, 16229, 2999, 7003, 4433, 550, 1878 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 8193, 281, 30016, 268, 279, 692, 258, 12361, 8080, 918, 12000, 2401, 2336, 258, 3097, 258, 2060, 713, 7317, 11362, 1576, 594, 16436, 596, 547, 1451, 930, 3684, 1565, 9238, 269, 901, 1576, 568, 2966, 607, 513, 3126, 540, 737, 1716, 1564, 602, 10274, 596, 998, 1114, 3584, 543, 23248, 596, 666, 3605, 930, 6456, 16782, 602, 7903, 596, 4464, 593, 707, 1239, 2257, 4155, 269, 1411, 1810, 1405, 723, 547, 4584, 519, 6030, 538, 5311, 952, 596, 616, 1152, 5461, 538, 930, 3584, 602, 616, 4988, 269, 1403, 596, 616, 1007, 594, 1131, 4363, 596, 547, 1491, 873, 1900, 676, 1900, 835, 1310, 1776, 269, 6902, 268, 994, 258, 3097, 258, 3807, 23643, 519, 737, 1716, 1564, 543, 723, 1187, 256, 32473, 994, 258, 3097, 258, 2608, 1496, 7093, 6768, 547, 1376, 28488, 10059, 2517, 4178, 21993, 12000, 548, 2593, 270, 718, 684, 807, 14121, 11939, 545, 1673, 633, 28443, 1790, 516, 6768, 3562, 3613, 691, 2567, 10738, 713, 17830, 649, 786, 5965, 938, 1239, 971, 602, 649, 666, 946, 621, 547, 8399, 269, 5213, 1405, 4849, 8799, 4183, 5542, 610, 10868, 2553, 1934, 1317, 649, 786, 3251, 607, 2241, 607, 2009, 269, 9453, 513, 2312, 8404, 649, 4465, 1405, 1689, 1022, 2934, 269, 9182, 649, 616, 1152, 2469, 547, 2263, 875, 547, 4308, 609, 7508, 2418, 543, 875, 547, 2490, 3615, 547, 10230, 2418, 269, 769, 519, 1439, 649, 786, 4558, 938, 5423, 1239, 607, 3977, 971, 602, 649, 666, 3136, 2324, 609, 621, 538, 519, 1985, 17830, 563, 258, 2608, 2878, 7069, 12218, 8595, 4995, 3657, 596, 4712, 547, 3009, 707, 1378, 29976, 286, 10738, 713, 17830, 596, 786, 1628, 26848, 9695, 689, 15072, 269, 1635, 7598, 519, 2203, 6000, 649, 666, 1174, 519, 10054, 3297, 621, 269, 901, 1702, 786, 948, 721, 547, 1118, 1732, 3664, 538, 519, 1985, 17830, 1141, 649, 786, 946, 713, 2203, 543, 1628, 930, 5868, 2645, 547, 2087, 922, 2773, 563, 258, 2608, 1496, 763, 4183, 13946, 28488, 10059, 2517, 4178, 21993, 12000, 548, 2593, 270, 718, 684, 807, 14121, 11939, 545, 1673, 633, 28443, 1922, 324, 1155, 2275, 1511, 2567, 1635, 1210, 938, 1378, 26848, 9695, 2203, 649, 786, 2263, 875, 649, 666, 2087, 676, 4946, 513, 9186, 2165, 543, 1946, 649, 1058, 31391, 28547, 2934, 269, 3097, 258, 2608, 1496, 8722, 1155, 18440, 543, 856, 11502, 28488, 10059, 2517, 4178, 21993, 12000, 548, 2593, 270, 718, 684, 807, 14121, 11939, 545, 1673, 633, 28443, 1922, 324, 1155, 27214, 2718, 7146, 13050, 11502, 270, 539, 527, 2567, 4208, 568, 621, 1271, 547, 4336, 2934, 543, 547, 3713, 856, 11502, 286, 1635, 7421, 519, 2203, 2497, 649, 786, 3605, 875, 938, 27080, 543, 938, 2203, 2773, 616, 6766, 676, 891, 3584, 269, 8528, 258, 12361, 5192, 707, 3937, 454, 258, 3097, 258, 3767, 649, 616, 4712, 547, 4685, 4514, 256, 1280, 713, 1576, 649, 723, 2907, 2016, 519, 5423, 1239, 689, 938, 2063, 4663, 538, 519, 3403, 17835, 1384, 258, 769, 314, 9948, 1384, 454, 5814, 15259, 454, 2745, 263, 657, 269, 4289, 323, 597, 2891, 907, 270, 6358, 8442, 9239, 258, 769, 314, 9948, 1384, 454, 2745, 263, 657, 269, 4289, 323, 597, 2891, 907, 270, 6358, 14121, 11939, 545, 323, 633, 10843, 8442, 9239, 258, 21411, 267, 1577, 781, 4452, 938, 15004, 543, 1224, 538, 519, 1239, 1384, 258, 769, 314, 9948, 1384, 454, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 692, 5814, 21267, 28272, 607, 12301, 454, 5814, 26026, 1941, 607, 521, 985, 454, 1326, 318, 760, 3155, 14061, 332, 20723, 26086, 6415, 520, 15003, 538, 1467, 5073, 338, 985, 15630, 30800, 258, 769, 314, 9948, 1384, 454, 30221, 815, 19073, 18667, 32269, 2891, 907, 270, 6358, 14121, 11939, 545, 323, 633, 10843, 270, 2181, 335, 1563, 17601, 27406, 2580, 4994, 22674, 284, 271, 994, 30221, 23584, 30800, 258, 769, 314, 9948, 1384, 454, 11687, 815, 19073, 18667, 32269, 2891, 907, 270, 6358, 14121, 11939, 545, 323, 633, 10843, 270, 2181, 335, 1563, 15305, 27406, 2580, 4994, 22674, 284, 271, 994, 11687, 23584, 30800, 258, 12361, 3733, 12218, 8595, 22403, 454, 258, 3097, 258, 4438, 713, 7317, 1576, 596, 786, 3009, 782, 2409, 649, 991, 547, 1628, 513, 2241, 26848, 9695, 2203, 269, 1306, 596, 1522, 581, 1007, 547, 9226, 5752, 713, 5850, 2488, 513, 22403, 1362, 602, 596, 786, 2347, 609, 707, 3435, 1900, 676, 1900, 269, 3097, 258, 3097, 258, 5272, 5503, 596, 723, 27634, 328, 1117, 835, 11362, 6728, 596, 1590, 5299, 707, 3070, 543, 11690, 621, 883, 519, 3617, 1505, 2439, 258, 769, 314, 9948, 1384, 454, 5035, 3733, 12218, 8595, 912, 8931, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 5286, 20179, 269, 23092, 263, 271, 994, 1038, 1582, 9884, 815, 5286, 20179, 269, 7538, 10857, 665, 284, 271, 267, 4336, 284, 271, 269, 4905, 267, 2450, 284, 278, 994, 1038, 1582, 7456, 1601, 525, 815, 11713, 1038, 1780, 22562, 825, 1219, 3589, 4311, 267, 1535, 2187, 1038, 1780, 22562, 825, 1219, 2530, 4311, 267, 586, 267, 512, 2187, 1038, 1780, 22562, 825, 1219, 13506, 4311, 267, 1535, 267, 586, 267, 512, 2187, 1038, 1780, 22562, 825, 1219, 9337, 4311, 267, 1696, 320, 267, 5552, 2187, 1038, 1780, 22562, 825, 1219, 1451, 4311, 267, 1535, 267, 512, 267, 1696, 320, 267, 3193, 14067, 10134, 267, 547, 331, 2187, 1038, 1780, 22562, 825, 1219, 6060, 4311, 267, 1535, 267, 512, 2187, 1038, 1780, 7531, 258, 12361, 13749, 476, 272, 281, 10435, 11236, 454, 258, 3097, 258, 21411, 267, 596, 723, 2907, 32708, 539, 693, 938, 3274, 30829, 1239, 649, 786, 1376, 609, 269, 1809, 875, 547, 3589, 519, 6668, 540, 15915, 538, 519, 1449, 1305, 286, 3097, 258, 3097, 258, 12693, 5463, 4575, 6668, 676, 12939, 454, 258, 3097, 258, 2290, 2241, 2856, 1223, 581, 547, 9062, 1142, 4183, 1269, 343, 3709, 323, 4151, 609, 930, 9936, 1269, 342, 3709, 323, 4151, 543, 2040, 909, 782, 2474, 547, 3489, 513, 7274, 1269, 326, 259, 602, 2337, 721, 547, 1118, 513, 3375, 585, 835, 18213, 952, 646, 610, 1352, 15068, 610, 711, 281, 3097, 258, 3097, 258, 3230, 326, 815, 1535, 3709, 272, 348, 1422, 10383, 530, 3709, 272, 348, 1341, 3267, 1341, 1535, 3709, 476, 278, 348, 1422, 10383, 530, 3709, 278, 348, 815, 1422, 8999, 3709, 323, 284, 272, 8703, 291, 284, 278, 348, 1535, 3709, 323, 348, 1422, 10383, 530, 3709, 323, 28021, 258, 3097, 258, 3230, 344, 23751, 258, 672, 1422, 8218, 26231, 1162, 8679, 258, 11434, 476, 271, 267, 1299, 1422, 3667, 346, 604, 4153, 575, 3436, 1422, 339, 879, 8607, 454, 258, 11434, 476, 272, 267, 1299, 1422, 3667, 346, 1278, 3772, 8679, 258, 672, 1422, 754, 26231, 1162, 348, 3097, 258, 3230, 454, 258, 3097, 258, 3767, 649, 1131, 3589, 602, 513, 18213, 814, 711, 15068, 952, 922, 1269, 326, 259, 568, 2362, 982, 930, 12939, 4399, 339, 879, 259, 543, 6382, 519, 18213, 15068, 269, 1635, 16550, 519, 9936, 530, 547, 581, 3838, 936, 782, 15915, 538, 519, 5721, 1305, 649, 1131, 2744, 513, 2489, 1259, 547, 5173, 519, 6668, 540, 1007, 15915, 899, 1346, 538, 519, 1449, 1305, 269, 1809, 609, 713, 1935, 649, 616, 4881, 883, 2042, 912, 258, 3097, 258, 2608, 1215, 4927, 649, 1305, 4399, 339, 879, 259, 543, 519, 476, 278, 9936, 1269, 342, 3709, 323, 4151, 547, 3489, 519, 1655, 11236, 538, 5721, 543, 1449, 888, 258, 2608, 15531, 519, 1655, 11236, 609, 2547, 6959, 1063, 12605, 543, 3077, 10297, 538, 519, 5721, 1305, 4992, 899, 606, 11938, 4305, 269, 9182, 649, 949, 991, 27080, 609, 1065, 4167, 547, 6724, 530, 543, 512, 879, 269, 1809, 875, 1058, 649, 798, 602, 609, 938, 12605, 1599, 586, 286, 4635, 513, 12939, 814, 3361, 930, 8373, 607, 519, 1496, 3891, 32713, 728, 1922, 4233, 28488, 10674, 2517, 10059, 2517, 523, 25769, 3820, 28293, 270, 3891, 32713, 728, 14067, 788, 6958, 4233, 264, 649, 1031, 568, 711, 1114, 4192, 269, 3097, 258, 3097, 258, 1215, 666, 649, 4194, 713, 1966, 286, 3097, 258, 3097, 258, 12693, 589, 5347, 19406, 454, 258, 3097, 258, 1306, 596, 1522, 723, 1224, 538, 519, 28957, 2376, 649, 1223, 946, 513, 5347, 19406, 540, 519, 3389, 529, 728, 1599, 910, 476, 519, 26848, 1599, 269, 2913, 781, 979, 1256, 835, 1900, 2417, 543, 1491, 519, 1496, 338, 31451, 1599, 28488, 10674, 2517, 10059, 2517, 523, 25769, 3820, 28293, 13478, 31451, 6958, 4233, 264, 4399, 18406, 259, 607, 513, 2027, 543, 2241, 2013, 540, 519, 26848, 1599, 269, 3973, 938, 12605, 1599, 1131, 2490, 547, 912, 258, 3097, 258, 3230, 586, 815, 1422, 18406, 1422, 3847, 263, 1422, 8999, 3709, 323, 284, 272, 8703, 291, 284, 278, 348, 1535, 3709, 323, 348, 1422, 10383, 530, 3709, 323, 348, 1422, 2431, 264, 3230, 454, 258, 3097, 258, 3230, 1422, 18406, 3287, 264, 815, 1422, 2765, 346, 272, 2410, 272, 1341, 1422, 10339, 8987, 343, 264, 28021, 258, 3097, 258, 670, 1695, 267, 715, 823, 256, 1284, 1205, 7759, 540, 519, 12939, 9936, 4399, 339, 879, 259, 543, 519, 1152, 3364, 649, 616, 2451, 1055, 568, 547, 1265, 6099, 9936, 530, 602, 7413, 519, 6959, 1063, 938, 11236, 543, 3077, 2418, 540, 6668, 538, 519, 5721, 1305, 269, 3767, 267, 1577, 781, 2490, 547, 2259, 1384, 258, 769, 314, 9948, 1384, 454, 258, 898, 781, 707, 2490, 281, 1546, 8541, 519, 1780, 543, 2936, 519, 521, 31451, 1599, 912, 3698, 521, 31451, 3287, 2187, 825, 1780, 454, 825, 1948, 14310, 815, 2999, 20365, 3009, 11417, 825, 1948, 8873, 1267, 7531, 258, 2913, 781, 2638, 952, 707, 3070, 568, 1318, 269, 1677, 798, 713, 9296, 618, 519, 7682, 6898, 543, 2196, 519, 1591, 269, 1403, 4986, 4523, 267, 707, 3070, 4667, 547, 581, 1318, 256, 32473, 2020, 258, 769, 314, 9948, 1384, 454, 258, 16386, 4433, 31451, 263, 271, 264, 2652, 476, 271, 269, 276, 994, 258, 16386, 18828, 269, 1037, 4433, 31451, 8987, 277, 1070, 476, 273, 264, 2652, 476, 271, 269, 271, 994, 258, 16386, 18828, 269, 1037, 4433, 31451, 263, 277, 1070, 476, 273, 264, 2652, 476, 272, 269, 271, 9239, 258, 3767, 649, 723, 513, 16517, 1599, 547, 1118, 11236, 586, 543, 649, 723, 2907, 538, 2247, 602, 649, 991, 547, 1265, 519, 6724, 530, 547, 7413, 519, 5470, 1063, 519, 11236, 586, 543, 9072, 512, 540, 6668, 538, 519, 5721, 1239, 269, 21411, 267, 1631, 621, 781, 707, 2490, 281, 3503, 3009, 547, 5173, 11236, 540, 519, 6668, 540, 782, 15915, 538, 519, 5721, 1305, 269, 1411, 666, 946, 5286, 27904, 263, 24222, 7852, 284, 272, 264, 547, 3489, 519, 2040, 936, 4183, 7516, 269, 567, 692, 258, 769, 314, 9948, 1384, 454, 258, 2659, 4305, 281, 1546, 8541, 519, 1780, 543, 6445, 538, 707, 3070, 269, 2422, 530, 538, 707, 3830, 607, 6724, 563, 3698, 3589, 3287, 267, 530, 2187, 825, 1780, 454, 825, 1948, 344, 815, 2999, 20365, 3009, 11417, 825, 1948, 8873, 586, 7531, 258, 2913, 781, 2638, 707, 3070, 676, 8429, 519, 2934, 540, 782, 15915, 538, 519, 5721, 1305, 269, 1280, 713, 3483, 649, 1058, 6749, 519, 10426, 10152, 27306, 543, 519, 3077, 6003, 1384, 258, 769, 314, 9948, 1384, 454, 12639, 20179, 269, 23092, 263, 271, 994, 342, 815, 5286, 20179, 269, 7538, 10857, 665, 284, 271, 267, 4336, 284, 271, 269, 4905, 267, 2450, 284, 278, 2020, 311, 815, 5721, 6155, 1886, 8443, 257, 27879, 10152, 27306, 2580, 834, 20776, 341, 1882, 257, 3910, 7852, 284, 272, 1040, 11161, 454, 258, 962, 815, 3589, 11583, 267, 530, 9239, 258, 12693, 2659, 3355, 11236, 454, 258, 3097, 258, 8528, 258, 769, 314, 9948, 1384, 454, 10823, 8807, 2682, 6600, 12127, 1125, 14352, 736, 267, 276, 4917, 258, 338, 985, 6155, 626, 7120, 263, 312, 994, 10823, 11859, 16932, 2891, 335, 9438, 539, 2418, 586, 5602, 10823, 269, 29786, 2891, 325, 15968, 5602, 10823, 26644, 2891, 22873, 658, 11236, 540, 782, 5721, 15915, 257, 9239, 258, 634, 856, 11502, 616, 9490, 267, 5749, 1405, 789, 286, 1548, 3123, 519, 3892, 547, 581, 7729, 14954, 286, 1548, 798, 596, 1589, 286, 3097, 258, 3097, 258, 1133, 1260, 618, 543, 2196, 519, 1591, 547, 2638, 707, 3070, 1384, 258, 769, 314, 9948, 1384, 454, 258, 16386, 18828, 269, 1037, 18828, 32557, 263, 312, 1070, 476, 273, 264, 2652, 476, 271, 269, 7906, 994, 258, 16386, 18828, 269, 1037, 18828, 14714, 323, 263 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 741, 6634, 1701, 19413, 5156, 713, 957, 540, 834, 3712, 29193, 11980, 2580, 538, 3210, 547, 634, 14195, 267, 834, 30524, 723, 1044, 5869, 1143, 8487, 268, 19413, 267, 14076, 332, 2129, 534, 630, 1220, 277, 264, 6032, 269, 476, 272, 1700, 274, 563, 268, 634, 18266, 6168, 19413, 676, 853, 1030, 534, 631, 8432, 928, 5060, 454, 268, 27958, 553, 342, 18081, 267, 623, 269, 681, 269, 630, 1960, 273, 1040, 834, 30538, 32257, 19413, 543, 519, 6014, 2817, 5851, 281, 1323, 10495, 2668, 7489, 543, 3979, 2090, 281, 4750, 540, 519, 5840, 31970, 5980, 269, 476, 2918, 630, 272, 2567, 476, 272, 1700, 1724, 563, 268, 13850, 846, 267, 590, 1678, 541, 630, 1960, 272, 1040, 8575, 32257, 19413, 269, 20466, 23255, 269, 533, 269, 476, 13932, 269, 9768, 476, 7818, 279, 1704, 271, 2537, 13078, 277, 563, 268, 674, 29531, 267, 8402, 630, 4198, 271, 1040, 634, 1272, 540, 8575, 32257, 19413, 269, 22489, 269, 533, 269, 476, 4097, 279, 563, 268, 6723, 2107, 6202, 267, 834, 8269, 27928, 593, 19413, 2580, 3487, 16388, 5623, 267, 5130, 476, 3707, 280, 269, 0, 2005, 5654, 899, 596, 2811, 1210, 606, 1520, 13332, 518, 563, 8923, 3043, 2000, 626, 610, 771, 762, 26361, 12749, 5353, 4038, 2593, 538, 707, 740, 1532, 24286, 1907, 563, 5278, 2934, 540, 589, 4811, 786, 581, 16981, 1247, 596, 3136, 547, 946, 606, 740, 1532, 6674, 518, 563, 23192, 11540, 676, 9210, 710, 31058, 454, 763, 2601, 602, 32270, 3112, 581, 3274, 513, 834, 25757, 10066, 257, 568, 602, 621, 814, 824, 2360, 593, 513, 1268, 781, 15629, 5920, 267, 2219, 267, 543, 2623, 269, 898, 568, 811, 899, 513, 8552, 4524, 267, 609, 606, 2810, 1592, 540, 2589, 543, 3152, 10335, 540, 2589, 607, 519, 4524, 568, 811, 5693, 543, 5393, 4843, 538, 606, 1367, 269, 4475, 267, 28305, 338, 602, 941, 811, 3339, 538, 741, 2623, 1131, 581, 593, 519, 811, 7646, 1439, 540, 519, 8552, 6466, 2960, 5500, 8695, 609, 25858, 344, 267, 21522, 1750, 4060, 945, 5957, 17539, 543, 2911, 899, 1360, 678, 8775, 2021, 263, 5976, 25302, 5639, 18565, 602, 616, 2147, 547, 2021, 781, 5639, 18565, 264, 4171, 8783, 4690, 9114, 538, 6752, 267, 2575, 267, 543, 28245, 1131, 19582, 519, 811, 3665, 1439, 540, 519, 4336, 563, 314, 539, 527, 593, 476, 276, 268, 1015, 268, 1220, 279, 676, 9210, 710, 31058, 2639, 5804, 5007, 2707, 912, 763, 1977, 16723, 5948, 9730, 593, 15776, 15487, 267, 22985, 267, 1299, 645, 21361, 31700, 2829, 602, 3797, 547, 1689, 4638, 10066, 568, 15653, 676, 1034, 2564, 543, 2790, 1072, 12205, 602, 723, 3144, 513, 2990, 593, 519, 1888, 267, 593, 519, 12406, 602, 621, 568, 1419, 14124, 547, 1004, 781, 1134, 5630, 269, 634, 1977, 5369, 12278, 5948, 2829, 602, 834, 25677, 9439, 31831, 689, 8942, 547, 1689, 2043, 262, 4638, 10066, 1701, 11683, 3906, 602, 7947, 3797, 547, 1689, 4638, 10066, 1331, 519, 1977, 5369, 12278, 5948, 267, 519, 1977, 16723, 5948, 267, 519, 1977, 29960, 5948, 267, 519, 2817, 5948, 540, 4317, 20709, 267, 519, 1977, 9142, 540, 27435, 267, 519, 1977, 5948, 540, 3427, 8556, 21116, 267, 519, 1977, 18966, 540, 11334, 267, 519, 2817, 5948, 540, 3427, 5369, 5505, 267, 543, 519, 2817, 4065, 5948, 269, 0, 763, 3173, 24018, 875, 6388, 540, 8370, 4507, 2066, 519, 10821, 267, 5010, 543, 4853, 9922, 1522, 1404, 856, 936, 476, 736, 1296, 538, 519, 10588, 540, 12052, 543, 476, 1626, 7013, 2829, 563, 20442, 6743, 693, 875, 891, 4507, 1522, 2170, 267, 711, 1175, 2582, 3292, 2437, 1767, 661, 11927, 717, 636, 9007, 540, 519, 22956, 4659, 543, 1071, 6122, 611, 11001, 540, 519, 1353, 269, 834, 763, 16799, 1063, 4507, 7135, 519, 9806, 269, 1656, 621, 781, 782, 1942, 15807, 269, 2201, 3328, 267, 1142, 13362, 16539, 538, 1648, 4398, 936, 519, 1985, 476, 736, 1296, 786, 28231, 1269, 273, 269, 1839, 538, 2640, 4799, 303, 4301, 625, 2808, 676, 519, 1353, 267, 834, 21328, 21252, 538, 519, 3162, 2437, 1331, 1007, 27115, 4441, 267, 15314, 585, 27164, 7257, 1154, 543, 4365, 1436, 267, 18175, 10232, 547, 10626, 2371, 543, 1184, 9283, 563, 763, 3162, 568, 3638, 14099, 585, 4398, 9283, 269, 9453, 873, 267, 519, 3148, 1522, 2503, 476, 1428, 2600, 2208, 538, 1648, 3747, 676, 476, 10711, 271, 269, 774, 8812, 29350, 2600, 540, 4892, 2661, 538, 519, 1353, 3148, 269, 634, 3148, 27499, 606, 16080, 1242, 6712, 540, 1977, 1648, 267, 476, 4510, 2600, 267, 855, 621, 849, 7727, 476, 4366, 2600, 540, 519, 4182, 781, 1379, 563, 288, 4999, 540, 2188, 814, 2451, 713, 19018, 622, 6165, 23257, 1819, 676, 14519, 16994, 593, 1648, 4398, 269, 634, 3162, 13840, 814, 1970, 5201, 3928, 267, 799, 5000, 4616, 269, 6052, 18026, 2472, 723, 513, 2539, 2344, 21774, 982, 11992, 538, 519, 772, 2529, 269, 1656, 891, 2829, 6108, 1447, 829, 21027, 593, 4398, 3292, 982, 519, 3084, 3328, 563, 763, 3173, 6383, 513, 834, 321, 5350, 607, 8912, 257, 9183, 267, 1510, 1022, 4507, 267, 543, 3379, 621, 609, 7653, 602, 3769, 1808, 5036, 540, 1648, 3887, 11797, 9541, 267, 547, 7001, 519, 1942, 9806, 563, 763, 1353, 267, 5950, 11728, 267, 20147, 602, 10728, 1648, 4398, 7341, 1131, 912, 7049, 4733, 1007, 6009, 267, 2759, 10626, 12014, 543, 2844, 2804, 2208, 269, 15788, 10626, 12014, 1131, 581, 4389, 676, 1269, 6078, 5479, 513, 1032, 538, 476, 1708, 271, 543, 1269, 10170, 5479, 538, 476, 10711, 271, 282, 519, 3328, 10821, 5201, 12014, 1131, 7771, 676, 1269, 2918, 829, 3923, 538, 476, 1708, 271, 543, 1269, 2004, 829, 3923, 538, 476, 10711, 271, 282, 5201, 2557, 4679, 1131, 581, 15645, 730, 282, 543, 476, 23884, 267, 1822, 1007, 6009, 1131, 581, 2813, 676, 476, 1708, 271, 630, 2335, 783, 2816, 2208, 4679, 547, 476, 26392, 267, 1822, 1007, 6009, 538, 476, 10711, 271, 1040, 634, 3148, 781, 4346, 568, 17191, 547, 1332, 676, 1269, 272, 269, 2537, 5479, 538, 476, 1708, 271, 543, 1269, 273, 269, 1321, 5479, 538, 476, 10711, 271, 563, 24965, 576, 519, 991, 585, 1007, 1379, 2371, 269, 20290, 476, 1839, 17254, 1177, 30476, 540, 4587, 1379, 2371, 1223, 581, 19622, 543, 519, 4070, 540, 909, 547, 476, 2004, 17254, 1177, 30476, 540, 1007, 2371, 630, 16029, 547, 519, 2179, 540, 5201, 3812, 676, 476, 1911, 1379, 2371, 264, 1223, 581, 14284, 563, 4910, 738, 538, 8101, 1216, 5726, 269, 634, 5786, 538, 1379, 2030, 4390, 1131, 4688, 7013, 4525, 540, 519, 3345, 1977, 15379, 4039, 6636, 15278, 476, 279, 269, 277, 5479, 17529, 540, 4195, 1216, 538, 476, 1708, 271, 543, 476, 736, 269, 272, 5479, 17529, 538, 476, 10711, 271, 563, 257, 2304, 10728, 7029, 547, 1648, 4398, 1223, 581, 606, 2804, 2842, 6420, 585, 519, 3162, 2437, 1767, 3220, 269, 3057, 1176, 333, 9466, 540, 519, 11908, 4659, 540, 5303, 543, 1071, 6122, 611, 11001, 540, 519, 1353, 269, 834, 22746, 513, 6521, 1131, 2539, 1648, 12014, 585, 6666, 3613, 571, 5529, 6800, 543, 4213, 543, 1711, 811, 1007, 6009, 585, 8828, 4600, 4799, 30267, 3796, 540, 519, 1867, 781, 2164, 585, 1142, 1533, 616, 2139, 693, 281, 8940, 269, 5408, 718, 4800, 3820, 24579, 31810, 22812, 14142, 21703, 563, 257, 21328, 21252, 538, 519, 3162, 257, 568, 2139, 593, 519, 14913, 6052, 21252, 19137, 630, 306, 7417, 288, 264, 3896, 281, 8940, 269, 5408, 718, 4800, 3820, 24579, 31810, 22812, 14142, 21703, 269, 3557, 12632, 616, 849, 2139, 998, 590, 7417, 288, 267, 513, 18758, 3919, 602, 8992, 1648, 4398, 538, 519, 14913, 269, 901, 1788, 568, 14102, 609, 1489, 689, 519, 6052, 7690, 630, 4178, 269, 1030, 3820, 1070, 519, 918, 637, 613, 7690, 630, 4178, 21993, 637, 613, 3820, 264, 543, 519, 25306, 7690, 630, 4178, 6745, 1248, 518, 11398, 566, 3820, 994, 292, 11927, 717, 636, 9007, 1923, 31823, 2336, 305, 583, 7970, 21445, 5647, 1223, 27513, 5488, 267, 14949, 267, 24519, 2861, 5663, 454, 1691, 269, 6349, 269, 1001, 279, 1923, 31089, 7970, 2160, 454, 6124, 1353, 689, 519, 2160, 540, 670, 4150, 281, 1215, 2916, 1689, 32290, 2030, 2208, 454, 1321, 269, 4905, 269, 1001, 279, 1923, 9410, 6441, 9801, 268, 26536, 28059, 670, 4150, 8862, 527, 1084, 6199, 454, 25823, 749, 2572, 538, 2282, 7232, 14390, 10739, 616, 693, 1981, 1813, 547, 519, 11931, 2333, 538, 2230, 11935, 269, 1809, 741, 5692, 538, 519, 2127, 540, 26313, 267, 12445, 610, 4365, 23004, 568, 1898, 585, 2486, 269, 29163, 674, 16281, 4061, 10953, 16986, 2861, 1949, 799, 1450, 519, 7020, 267, 9477, 543, 17048, 532, 540, 1256, 519, 10545, 5536, 540, 11935, 269, 31420, 12427, 945, 723, 1569, 547, 938, 1239, 616, 538, 513, 1732, 2990, 547, 1544, 859, 5297, 18902, 951, 543, 2061, 16160, 21611, 269, 3245, 4989, 267, 476, 1839, 268, 3066, 476, 1001, 279, 267, 29163, 674, 16281, 543, 922, 4891, 786, 8858, 519, 14911, 16986, 1949, 30263, 6938, 543, 717, 12239, 6938, 607, 1134, 607, 519, 5767, 16986, 2553, 585, 2230, 8343, 2066, 1614, 6763, 693, 519, 594, 6369, 12670, 563, 763, 834, 10177, 1553, 3510, 257, 538, 2230, 568, 1360, 13029, 281, 519, 3047, 568, 4867, 1373, 11497, 1243, 711, 1152, 676, 9118, 15408, 855, 849, 676, 513, 1804, 4320, 540, 2230, 2483, 2304, 3486, 2319, 540, 3173, 814, 4362, 513, 1007, 4550, 2275, 22083, 3940, 269, 634, 3940, 267, 1572, 700, 295, 13048, 267, 11151, 519, 29252, 18735, 540, 2860, 2281, 538, 519, 6797, 269, 634, 3173, 3366, 676, 4515, 269, 7812, 715, 269, 8065, 689, 519, 12713, 345, 550, 5300, 267, 2160, 540, 30239, 267, 1867, 538, 968, 26903, 892, 602, 700, 295, 13048, 666, 849, 4196, 607, 513, 24750, 518, 585, 519, 5868, 543, 23567, 540, 6797, 2860, 563, 763, 11841, 540, 6797, 2860, 267, 849, 1634, 607, 14817, 334, 14978, 26217, 267, 568, 20406, 2810, 269, 769, 519, 2063, 8938, 1296, 267, 519, 1297, 540, 2665, 814, 3592, 23060, 2483, 1103, 1175, 513, 1906, 4374, 689, 1631, 267, 519, 4457, 2230, 6728, 570, 21628, 784, 268, 272, 786, 556, 268, 10938, 519, 3047, 781, 5790, 1141, 621, 786, 547, 513, 1804, 6708, 6633, 909, 269, 898, 568, 2009, 602, 930, 11935, 786, 3914, 519, 3047, 781, 2627, 269, 570, 21628, 784, 268, 272, 568, 28835, 519, 3047, 29252, 693, 513, 3432, 540, 4114, 269, 476, 3066, 267, 1822, 5998, 10774, 5861, 584, 1370, 569, 519, 23567, 11341, 547, 519, 942, 540, 1764, 4867, 6013, 1369, 513, 6885, 540, 1896, 2395, 269, 634, 3744, 693, 29163, 674, 16281, 723, 2907, 1044, 5464, 570, 21628, 784, 268, 272, 585, 513, 1297, 540, 4374, 609, 741, 30263, 6938, 1062, 267, 835, 540, 519, 1034, 3532, 2230, 8343, 2234, 1513, 538, 519, 1158, 267, 609, 513, 2070, 547, 5885, 519, 4436, 6611, 32163, 1049, 17607, 4741, 543, 519, 30673, 609, 741, 556, 268, 18782, 23004, 563, 16729, 519, 2530, 540, 5925, 3346, 609, 570, 21628, 784, 268, 272, 538, 476, 1001, 277, 543, 1813, 547, 519, 1970, 20771, 4463, 267, 621, 568, 1631, 17149, 602, 519, 4457, 2230, 6728, 786, 2483, 293, 571, 27541, 4659, 585, 17667, 22997, 267, 5082, 1258, 2142, 600, 543, 26736, 2742, 5303, 674, 7968, 267, 8502, 540, 1382, 543, 1646, 2533, 585, 744, 29612, 8654, 3435, 267, 3045, 25555, 519, 15713, 540, 519, 968, 5357, 3633, 700, 32218, 17072, 892, 543, 6799, 5767, 744, 29612, 1374, 543, 8654, 3435, 1282, 1769, 17070, 5648, 267, 689, 4728, 476, 1240, 628, 1107, 476, 2537, 6113, 267, 476, 1001, 279, 538, 7671, 31060, 513, 8160, 32220, 30051, 267, 693, 1630, 1054, 1100, 269, 674, 11011, 538, 8065, 476, 275, 269, 271, 563, 5445, 616, 8087, 538, 741, 6612, 585, 744, 29612, 630, 16955, 1769, 32749, 1019, 3941, 264, 8654, 609, 782, 540, 922, 2189, 18125, 543, 3498, 7399, 269, 4935, 4966, 538, 2483, 288, 1007, 9183, 5275, 547, 2491, 875, 9370, 262, 2322, 894, 12084, 3357, 543, 4682, 936, 519, 2063, 476, 275, 5479, 1296, 10522, 602, 519, 12084, 4646, 1896, 4627, 2929, 2483, 2537, 269, 6734, 269, 1001, 279, 1923, 7926, 5240, 454, 866, 269, 6734, 269, 1001, 279, 1923, 7926, 5240, 454, 1626, 269, 6734, 269, 1001, 279, 1923, 7926, 5240, 454, 2537, 269, 6734, 269, 1001, 279, 1923, 10049, 7070, 454, 2537, 269, 6734, 269, 1001, 279, 1923, 16581, 543, 32645, 3163, 454, 2537, 269, 6734, 269, 1001, 279, 1923, 8212, 543, 18395 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28999, 6052, 15278, 8198, 272, 269, 273, 269, 274, 269, 6301, 10832, 454, 11693, 519, 4763, 540, 21621, 543, 16857, 5201, 6990, 543, 5201, 2200, 267, 519, 946, 540, 1585, 2959, 585, 3490, 4452, 267, 13591, 543, 8445, 4452, 4096, 593, 519, 11662, 610, 8513, 269, 1717, 267, 538, 1034, 2665, 267, 8652, 267, 6046, 543, 5755, 616, 1031, 585, 3490, 4452, 267, 1247, 2067, 3154, 267, 19386, 543, 8652, 616, 1031, 538, 13591, 543, 8445, 3871, 269, 6489, 543, 824, 5710, 1963, 616, 3395, 2959, 540, 1648, 538, 1896, 16899, 563, 307, 21764, 476, 274, 281, 5442, 4306, 17920, 3633, 26480, 3722, 14510, 267, 661, 22268, 30278, 14510, 11550, 27021, 6730, 12164, 24746, 6573, 3582, 454, 347, 17413, 1475, 2735, 271, 1475, 1960, 271, 1475, 1220, 271, 1475, 1220, 276, 1475, 1001, 271, 1475, 1001, 277, 1475, 15253, 895, 5993, 2208, 2557, 630, 260, 994, 18871, 777, 13369, 540, 5122, 2371, 630, 294, 310, 16216, 4297, 2008, 347, 268, 4033, 7791, 1475, 1765, 1475, 1765, 1475, 1765, 1475, 1765, 1475, 1765, 1475, 273, 269, 278, 1475, 1765, 2008, 347, 25821, 640, 2504, 630, 307, 2662, 10245, 347, 268, 824, 7791, 1475, 1765, 1475, 1765, 1475, 1765, 1475, 1765, 1475, 1765, 1475, 274, 269, 271, 1475, 1765, 2008, 347, 13707, 5201, 4616, 630, 307, 2662, 10534, 22430, 269, 272, 1475, 275, 4792, 269, 275, 1475, 20862, 269, 273, 1475, 276, 3199, 269, 276, 1475, 31816, 269, 275, 1475, 6812, 275, 269, 273, 1475, 271, 269, 275, 2008, 265, 25821, 640, 6771, 9271, 616, 711, 20952, 539, 563, 1262, 22291, 16073, 4616, 563, 1765, 281, 4578, 711, 2139, 563, 306, 1545, 281, 7849, 8249, 4516, 267, 10803, 4516, 18280, 690, 1132, 476, 6872, 268, 19740, 267, 476, 6872, 268, 1708, 543, 476, 6872, 268, 18684, 267, 595, 23177, 8379, 7305, 476, 12553, 268, 9826, 278, 267, 543, 2890, 1239, 689, 519, 11272, 5295, 9198, 908, 853, 725, 11752, 267, 519, 24542, 18242, 543, 2598, 6570, 11752, 543, 519, 11272, 5295, 26365, 9198, 908, 13749, 23556, 29283, 11752, 563, 307, 21764, 476, 275, 281, 13673, 2207, 294, 312, 23781, 28714, 17241, 2316, 5308, 454, 347, 21328, 4616, 829, 21027, 630, 294, 297, 270, 5115, 7534, 10534, 31172, 1475, 29616, 1475, 28178, 1475, 24783, 1475, 27840, 1475, 4968, 2008, 347, 25821, 640, 4616, 829, 21027, 630, 330, 2662, 270, 5115, 7534, 10534, 1724, 476, 279, 2537, 1475, 1626, 476, 278, 3607, 1475, 1704, 476, 9262, 274, 1475, 1704, 476, 280, 6246, 1475, 1626, 476, 278, 1321, 1475, 1626, 476, 277, 2641, 630, 1001, 277, 10245, 347, 25821, 640, 2504, 270, 21328, 2504, 630, 8472, 1475, 1321, 1475, 1556, 1475, 1015, 1475, 1015, 1475, 1015, 1475, 280, 2008, 347, 301, 13086, 270, 13707, 5201, 630, 8472, 1475, 1015, 1475, 1428, 1475, 1321, 1475, 1691, 1475, 1626, 1475, 1428, 2008, 31340, 26559, 540, 5007, 21341, 630, 8472, 265, 1475, 1700, 275, 1475, 1700, 4097, 1475, 1700, 7367, 1475, 1700, 7367, 1475, 1700, 7830, 1475, 1700, 4037, 2008, 265, 4880, 1104, 270, 13707, 1648, 4616, 563, 9616, 281, 7305, 476, 12553, 268, 1822, 280, 814, 1044, 2165, 3990, 543, 8719, 609, 7305, 476, 12553, 268, 9826, 277, 269, 10313, 11143, 609, 4505, 1239, 630, 2181, 476, 1220, 271, 264, 1058, 581, 2944, 609, 13657, 563, 13126, 281, 7849, 8249, 4516, 267, 10803, 4516, 630, 307, 1963, 476, 12553, 268, 1822, 280, 267, 476, 12553, 268, 9826, 277, 1916, 273, 269, 715, 10813, 4041, 2752, 31266, 2207, 590, 3951, 308, 9569, 454, 273, 269, 272, 269, 670, 8780, 3036, 13965, 667, 14110, 5085, 8008, 16774, 6730, 595, 7838, 305, 7728, 10758, 294, 3198, 22003, 9569, 3201, 31031, 308, 6311, 13543, 454, 28657, 729, 835, 540, 519, 1101, 2477, 547, 1020, 513, 19742, 6046, 1379, 10872, 1310, 519, 5822, 2622, 2782, 269, 898, 814, 2094, 2919, 519, 4516, 1546, 17458, 1756, 28800, 1756, 630, 290, 13263, 308, 264, 19720, 267, 799, 3096, 2046, 28962, 4492, 9055, 3079, 540, 513, 2604, 6077, 267, 2067, 20879, 4492, 3079, 540, 23353, 20879, 267, 543, 5230, 1216, 607, 513, 3579, 656, 270, 7116, 518, 1807, 3079, 540, 519, 1769, 1216, 602, 568, 1336, 538, 2046, 28962, 1216, 19720, 6272, 269, 595, 13263, 308, 26119, 723, 1044, 6707, 4421, 543, 13234, 538, 4516, 267, 607, 1134, 607, 13383, 269, 1703, 616, 4867, 476, 866, 595, 13263, 308, 26119, 538, 5106, 538, 4516, 269, 17437, 1648, 2488, 827, 476, 1428, 260, 540, 4516, 779, 5201, 2115, 563, 763, 1082, 19325, 540, 519, 8225, 6046, 10872, 616, 630, 785, 1339, 19720, 4390, 5515, 616, 16977, 267, 3277, 547, 7305, 476, 276, 585, 811, 2143, 1344, 2187, 1103, 476, 4198, 276, 267, 589, 4488, 299, 267, 14411, 31527, 543, 8225, 4937, 11272, 1500, 513, 7029, 547, 1628, 519, 1101, 1507, 4336, 18634, 476, 2420, 24448, 16216, 264, 595, 13263, 308, 19720, 538, 17029, 874, 2023, 267, 14411, 267, 799, 3459, 23478, 519, 14411, 1379, 7470, 538, 476, 3422, 273, 563, 288, 3677, 18634, 729, 9112, 693, 19958, 8672, 267, 14411, 269, 634, 476, 1220, 24448, 16216, 264, 19720, 4682, 883, 3028, 538, 476, 3422, 278, 282, 891, 1079, 26119, 3964, 519, 6639, 3490, 585, 519, 3677, 5010, 4559, 547, 1246, 543, 9250, 4516, 779, 6046, 10872, 563, 10521, 476, 4335, 24448, 16216, 264, 26119, 693, 17292, 1359, 267, 14411, 267, 941, 8149, 547, 896, 513, 2468, 4820, 924, 6876, 1063, 14411, 31527, 267, 589, 4488, 299, 543, 519, 5313, 2229, 282, 14411, 31527, 2663, 8149, 547, 1079, 811, 4559, 547, 1628, 606, 7471, 476, 275, 1770, 6728, 282, 519, 4559, 630, 303, 1157, 1359, 589, 264, 3357, 883, 5106, 1063, 476, 3192, 272, 543, 476, 3192, 274, 563, 294, 550, 11035, 268, 272, 267, 513, 476, 7742, 24448, 16216, 264, 14495, 1769, 1216, 19720, 729, 9112, 538, 645, 2946, 322, 4545, 712, 267, 2372, 2946, 13069, 269, 898, 729, 2322, 883, 3028, 538, 476, 3192, 273, 543, 13234, 23557, 1836, 2394, 476, 3192, 279, 563, 3519, 24632, 1374, 2090, 593, 519, 23745, 589, 6728, 941, 15748, 538, 476, 3422, 279, 282, 519, 476, 275, 9943, 8517, 24448, 16216, 264, 1770, 23745, 589, 6728, 3357, 883, 3028, 689, 476, 3192, 278, 547, 476, 3192, 280, 563, 288, 4488, 299, 2919, 519, 595, 13263, 308, 476, 277, 19720, 1374, 543, 729, 3811, 538, 9513, 2185, 540, 891, 538, 519, 2038, 547, 4571, 268, 3192, 271, 338, 281, 22918, 11035, 268, 273, 630, 22134, 549, 268, 5226, 2946, 13069, 267, 476, 3192, 274, 1070, 8672, 700, 788, 516, 879, 630, 6124, 19839, 1873, 1157, 267, 476, 3192, 275, 264, 543, 1079, 13383, 563, 1103, 5147, 476, 3192, 275, 267, 14411, 31527, 4956, 547, 1039, 476, 275, 4559, 547, 519, 17292, 1359, 3135, 282, 891, 3357, 883, 3028, 607, 17292, 1359, 645, 689, 476, 2735, 274, 547, 476, 2735, 277, 563, 19177, 3606, 4559, 630, 289, 16078, 645, 264, 3357, 883, 3028, 689, 476, 2735, 275, 547, 476, 2735, 278, 282, 2185, 476, 12010, 24448, 16216, 264, 4559, 693, 11023, 28002, 3357, 883, 3028, 689, 476, 2735, 280, 547, 476, 1960, 275, 563, 5353, 1597, 4559, 693, 23745, 589, 543, 17292, 1359, 589, 941, 9788, 909, 689, 476, 1960, 276, 547, 476, 1960, 279, 533, 2056, 1201, 7875, 7321, 1310, 606, 4830, 2689, 540, 519, 2030, 779, 4238, 563, 303, 1157, 1359, 589, 19590, 476, 275, 543, 476, 272, 941, 13604, 1201, 7875, 1639, 543, 8120, 547, 3028, 538, 476, 1220, 274, 543, 476, 1220, 276, 267, 6606, 269, 769, 476, 1220, 276, 267, 14411, 5295, 19087, 630, 8008, 294, 264, 2443, 5892, 1634, 607, 14411, 31527, 2443, 4956, 602, 19590, 476, 273, 543, 476, 274, 1131, 2611, 538, 2922, 9505, 6658, 1533, 543, 711, 581, 1201, 7875, 1639, 563, 1103, 476, 1220, 272, 267, 20525, 294, 9411, 883, 606, 6876, 609, 23745, 5295, 267, 513, 4357, 5823, 931, 24832, 267, 547, 25755, 922, 23745, 589, 543, 23745, 645, 6046, 5108, 6728, 282, 23745, 5295, 6707, 1964, 14975, 19590, 476, 274, 543, 476, 275, 540, 23745, 589, 538, 476, 1220, 275, 543, 476, 1220, 274, 267, 6606, 269, 769, 476, 1220, 276, 267, 621, 9333, 809, 513, 1617, 756, 11669, 13362, 1788, 547, 1201, 7875, 880, 543, 1964, 691, 4559, 476, 272, 543, 476, 273, 563, 1103, 476, 1220, 273, 267, 998, 519, 17437, 23556, 17904, 2920, 267, 519, 6554, 540, 4516, 8655, 5539, 585, 519, 1279, 2165, 2359, 540, 4516, 779, 1031, 6046, 4492, 547, 519, 17437, 17904, 5004, 9257, 630, 301, 310, 19616, 1070, 3964, 676, 20525, 294, 267, 31527, 268, 5226, 2946, 13069, 267, 1715, 19839, 1873, 1157, 5295, 15278, 543, 589, 4488, 299, 593, 513, 711, 585, 7443, 4493, 563, 1103, 476, 1220, 278, 267, 519, 6554, 540, 4516, 7608, 519, 32065, 19616, 779, 16252, 540, 11154, 633, 1912, 1078, 5004, 630, 4338, 300, 1070, 585, 519, 1279, 2165, 2359, 540, 6046, 4492, 3653, 538, 4516, 269, 901, 1935, 2882, 5248, 908, 543, 5627, 6046, 4492, 3653, 538, 513, 2620, 27230, 23789, 630, 291, 16165, 1916, 1103, 5437, 476, 1220, 278, 267, 4516, 779, 10579, 540, 7849, 8249, 9307, 513, 2689, 540, 589, 4488, 299, 269, 769, 2904, 476, 1220, 280, 267, 519, 6554, 9307, 602, 621, 729, 3001, 4464, 609, 513, 1964, 31382, 540, 589, 4488, 299, 543, 593, 476, 273, 5239, 476, 1001, 272, 267, 519, 6554, 540, 4516, 6192, 519, 9042, 540, 519, 7221, 540, 589, 4488, 299, 779, 595, 13263, 308, 1234, 18503, 10406, 547, 15443, 340, 6052, 5549, 1421, 513, 28025, 11262, 13564, 10706, 540, 590, 10998, 6441, 10052, 514, 563, 1103, 5988, 476, 1001, 271, 267, 20525, 294, 9307, 922, 9837, 547, 8399, 609, 519, 1201, 7875, 7321, 540, 922, 2185, 6046, 1379, 26119, 693, 11023, 28002, 563, 1103, 2904, 476, 1001, 271, 267, 519, 32065, 19616, 15748, 922, 1694, 532, 1184, 547, 2697, 606, 5483, 543, 8348, 2146, 609, 513, 2922, 543, 5078, 3135, 547, 3984, 513, 667, 16165, 269, 3414, 519, 1694, 532, 1184, 267, 476, 2420, 2950, 3357, 4464, 547, 4497, 609, 519, 32065, 19616, 543, 1451, 811, 827, 519, 6673, 300, 1935, 267, 543, 607, 540, 4989, 476, 1001, 279, 972, 616, 2947, 14411, 2950, 602, 3136, 547, 7119, 563, 763, 1201, 7875, 7321, 540, 23745, 589, 19590, 476, 272, 543, 476, 273, 543, 8672, 700, 788, 516, 879, 941, 6192, 543, 519, 4559, 8120, 547, 3028, 538, 476, 1001, 273, 269, 2201, 476, 2764, 5412, 476, 1001, 273, 267, 31527, 268, 5226, 2946, 13069, 4956, 547, 1232, 2174, 2153, 22918, 11035, 268, 273, 543, 9505, 519, 6728, 1524, 563, 1103, 5988, 476, 1001, 273, 267, 519, 6554, 540, 4516, 15597, 9250, 519, 2034, 5123, 540, 519, 1964, 31382, 540, 589, 4488, 299, 267, 5059, 593, 922, 6046, 20682, 543, 1232, 2174, 2153, 532, 4609, 269, 769, 5988, 476, 1001, 274, 267, 519, 6554, 540, 4516, 9307, 922, 9837, 547, 2936, 513, 6554, 11262, 267, 28079, 13234, 2203, 585, 589, 4488, 299, 779, 4609, 563, 1103, 5181, 476, 1001, 276, 267, 519, 6554, 11262, 267, 28079, 13234, 2203, 729, 8045, 693, 589, 4488, 299, 779, 6046, 20682, 269, 7201, 713, 2203, 267, 8225, 17437, 8534, 14898, 630, 290, 301, 299, 1070, 513, 4357, 5823, 28079, 267, 21314, 543, 13333, 589, 4488, 299, 779, 4609, 593, 922, 15773, 269, 589, 4488, 299, 5170, 547, 1378, 519, 4609, 267, 6703, 267, 7221, 543, 20824, 563, 1103, 5239, 476, 1001, 277, 267, 20525, 294, 3459, 519, 1201, 7875, 7321, 540, 922, 26119, 693, 519, 11023, 28002, 17437, 9198, 908, 13749, 269, 20525, 294, 9193, 602, 519, 1201, 7875, 7321, 540, 782, 2185, 4559, 786, 581, 2347, 538, 476, 1708, 277, 543, 602, 519, 6728, 1058, 2611, 10512, 2394, 476, 13078, 276, 563, 1103, 476, 1001, 278, 267, 23745, 5295, 6603, 606, 6876, 609, 519, 19435, 540, 14411, 547, 2347, 519, 1201, 7875, 7321, 540, 519, 6967, 4559, 693, 519, 23745, 3135, 267, 19590, 476, 274, 543, 476, 275, 693, 519, 23745, 589, 6728, 543, 19590, 476, 276, 547, 476, 279, 693, 519, 23745, 645, 6728, 563, 273, 269, 272, 269, 273, 269, 7351, 31044, 12856, 454, 20983, 269, 476, 272, 269, 8549, 8989, 2497, 563, 763, 4972, 540, 7849, 8249, 630, 20332, 8249, 4516, 264, 5359, 2047, 547, 519, 10579, 540, 7849, 8249, 267, 1247, 519, 595, 10064, 290, 543, 589, 4488, 299, 1867, 547, 12057, 998, 519, 10579, 563, 273, 269, 273, 269, 715, 10813, 4041, 2752, 31266, 2207, 12813, 3198, 4811, 281, 744, 23615, 26177 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 277, 281, 11020, 344, 12292, 910, 4197, 10960, 10263, 998, 28981, 7232, 323, 613, 3163, 692, 5970, 596, 2479, 9289, 1946, 5243, 530, 698, 741, 21217, 950, 789, 2811, 6126, 610, 875, 5017, 917, 799, 1259, 547, 22109, 286, 12207, 723, 1044, 4974, 3662, 2623, 585, 5553, 267, 3843, 547, 1174, 1018, 2306, 2831, 8743, 269, 21298, 267, 972, 814, 1044, 606, 3078, 1646, 538, 713, 2361, 1572, 519, 645, 6938, 2562, 19541, 256, 901, 11036, 6770, 1927, 930, 540, 519, 1158, 781, 1655, 3744, 547, 1353, 519, 12058, 540, 782, 5686, 540, 7068, 1107, 1519, 3425, 267, 22171, 267, 8983, 267, 543, 1256, 13733, 256, 1635, 1565, 827, 891, 6909, 6263, 8219, 267, 649, 666, 12260, 11580, 3297, 3662, 2623, 543, 6148, 1256, 938, 1378, 5615, 1932, 780, 5331, 1373, 2111, 547, 1294, 4555, 543, 4606, 3330, 606, 3662, 781, 2634, 899, 8384, 513, 7260, 256, 2334, 781, 4010, 1018, 3173, 3238, 538, 519, 645, 6938, 2562, 19541, 4126, 547, 3035, 14693, 269, 1358, 1616, 547, 1711, 1007, 2645, 543, 4066, 602, 786, 948, 873, 32708, 883, 519, 8186, 540, 2831, 1247, 789, 798, 1919, 899, 1404, 267, 6968, 267, 610, 3207, 269, 1452, 2706, 335, 10062, 3457, 1131, 1577, 721, 4585, 2634, 2281, 11488, 6835, 1394, 543, 8521, 267, 2870, 3270, 602, 1852, 3527, 543, 3664, 780, 3719, 7227, 267, 596, 1522, 2307, 267, 3884, 1405, 621, 20868, 610, 17559, 547, 1413, 693, 2576, 3116, 781, 4555, 286, 2107, 1018, 952, 649, 1451, 1945, 827, 2831, 602, 2306, 721, 1521, 873, 21354, 286, 4270, 267, 5100, 1004, 1572, 5778, 996, 27913, 616, 849, 851, 540, 519, 645, 6938, 2562, 19541, 2319, 269, 4256, 2816, 568, 547, 1589, 827, 782, 519, 5683, 2055, 602, 2097, 909, 950, 649, 1376, 3695, 519, 13655, 540, 519, 2247, 269, 1358, 960, 2182, 547, 2327, 602, 1169, 10196, 5205, 7453, 3652, 865, 1100, 835, 4991, 10413, 610, 5701, 15490, 569, 1282, 891, 6901, 780, 2690, 1383, 267, 4952, 952, 513, 11001, 4941, 547, 946, 835, 540, 1346, 3579, 2634, 24406, 22701, 19269, 593, 707, 4620, 8423, 3122, 267, 670, 1678, 269, 6969, 3257, 4376, 267, 789, 1131, 991, 547, 2015, 952, 670, 1678, 7959, 6899, 543, 2922, 2429, 519, 1184, 269, 1403, 646, 4667, 18901, 610, 14129, 267, 1287, 519, 4603, 12582, 1405, 4755, 269, 1656, 1034, 11932, 267, 789, 1590, 2141, 2463, 670, 1678, 607, 513, 2713, 13442, 609, 1010, 1378, 2115, 543, 13821, 780, 3086, 1577, 781, 1205, 1394, 547, 938, 905, 9312, 2828, 267, 519, 5017, 256, 1215, 798, 789, 917, 1141, 547, 8038, 1282, 9194, 286, 898, 7140, 856, 602, 1082, 5017, 723, 2027, 5946, 538, 741, 4064, 602, 957, 899, 9910, 15870, 1949, 267, 13057, 873, 2059, 1808, 11507, 1032, 1310, 1032, 269, 2060, 519, 948, 540, 519, 645, 6938, 2562, 19541, 267, 3744, 1223, 10625, 811, 3877, 827, 713, 2067, 12445, 1062, 543, 4019, 602, 1702, 547, 2087, 1480, 2029, 267, 971, 607, 1582, 28391, 6517, 610, 5624, 4721, 2439, 3383, 267, 1985, 942, 596, 7747, 707, 10130, 610, 824, 2831, 9117, 9490, 569, 267, 3314, 602, 972, 781, 513, 2898, 12284, 540, 6131, 2634, 17701, 2324, 2182, 547, 4194, 891, 4241, 13410, 269, 5808, 6487, 267, 6148, 835, 1554, 9358, 1223, 1831, 513, 5778, 27023, 626, 610, 5778, 996, 545, 626, 3054, 267, 4543, 721, 1732, 1174, 519, 5863, 1158, 540, 3662, 2623, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 645, 6938, 2562, 19541, 779, 3355, 7580, 1544, 9789, 645, 6938, 2562, 476, 1708, 276, 1867, 1765, 13195, 13890, 538, 4873, 476, 1001, 275, 676, 513, 2324, 1895, 540, 519, 27545, 9730, 547, 519, 2817, 23941, 540, 2657, 10615, 630, 3722, 291, 1916, 1103, 513, 2034, 5123, 540, 7580, 4058, 602, 3459, 538, 4989, 476, 1001, 279, 267, 519, 589, 7374, 645, 6938, 2562, 11554, 6828, 476, 273, 269, 271, 543, 519, 589, 7374, 11554, 6828, 593, 645, 6938, 2562, 476, 273, 269, 271, 11671, 996, 923, 4427, 16766, 630, 8042, 306, 264, 941, 4646, 269, 1280, 811, 2143, 1344, 593, 519, 645, 6938, 2562, 11554, 6828, 476, 273, 269, 271, 267, 5225, 3643, 713, 2985, 269, 634, 645, 10064, 729, 9901, 547, 1020, 513, 834, 32507, 996, 923, 10003, 14090, 257, 585, 519, 22078, 295, 645, 6938, 2562, 19541, 282, 2689, 10862, 2127, 4857, 538, 519, 645, 6938, 2562, 476, 1708, 276, 630, 14457, 267, 476, 272, 269, 273, 15406, 7580, 1544, 267, 6220, 10311, 689, 519, 6626, 645, 6938, 2562, 11554, 6828, 476, 273, 269, 271, 282, 543, 21656, 519, 5778, 25677, 6286, 602, 949, 8451, 607, 645, 6938, 2562, 19541, 9541, 3132, 1007, 1907, 270, 928, 1755, 23855, 3098, 267, 543, 5924, 607, 1346, 2645, 270, 928, 1755, 23855, 3098, 616, 4294, 547, 14027, 519, 3853, 540, 519, 22078, 295, 645, 6938, 2562, 19541, 563, 763, 645, 10064, 5342, 513, 14769, 2689, 543, 4371, 513, 1857, 13186, 593, 5778, 25677, 568, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27154, 10263, 257, 607, 851, 540, 834, 16300, 16337, 1315, 12292, 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, 6092, 5149, 281, 16505, 9724, 610, 28881, 7305, 2480, 25333, 910, 10289, 28064, 5020, 3414, 3203, 692, 22706, 5426, 281, 5664, 3427, 692, 20428, 281, 26353, 1315, 23527, 1299, 21771, 1315, 12846, 5020, 692, 7072, 912, 5970, 596, 2479, 2219, 827, 875, 1454, 1272, 4523, 1472, 707, 14254, 3349, 610, 10051, 286, 898, 781, 1141, 3885, 5531, 585, 6980, 267, 7391, 1491, 1747, 267, 6780, 4991, 2944, 267, 543, 4566, 616, 1500, 269, 901, 1576, 1770, 786, 2263, 519, 5898, 543, 4644, 540, 4948, 8090, 693, 519, 14254, 3349, 610, 10051, 998, 1148, 269, 1284, 786, 1451, 827, 1869, 1272, 10367, 18995, 971, 10207, 543, 1711, 938, 1378, 11247, 6273, 676, 873, 2439, 4089, 476, 272, 281, 1548, 568, 12846, 5020, 888, 26170, 1272, 4016, 547, 11247, 602, 6212, 593, 3615, 602, 798, 711, 1847, 267, 899, 4829, 267, 5810, 267, 642, 1162, 267, 2835, 267, 610, 1256, 3688, 1336, 538, 707, 10051, 269, 1452, 1568, 1419, 7001, 519, 9759, 540, 3232, 1272, 543, 666, 2995, 2984, 827, 1004, 543, 741, 10450, 269, 3509, 5159, 2429, 1686, 723, 6074, 547, 5862, 1869, 12468, 1317, 789, 1683, 3255, 547, 4603, 609, 4778, 267, 5546, 267, 1769, 267, 543, 20224, 780, 4089, 476, 273, 281, 25587, 16505, 9724, 543, 28881, 7305, 26657, 24484, 902, 454, 5278, 4583, 1869, 1272, 10367, 4183, 14254, 610, 10051, 3349, 5468, 269, 2913, 781, 1413, 693, 513, 1906, 8037, 3283, 1384, 265, 834, 763, 16505, 9724, 18740, 267, 8672, 18857, 257, 676, 6682, 4068, 623, 1170, 541, 549, 1107, 901, 7206, 2982, 721, 513, 18241, 14254, 6429, 3330, 513, 1753, 4904, 609, 2067, 1769, 269, 1411, 666, 3592, 1745, 519, 14246, 32338, 908, 689, 621, 2336, 265, 834, 298, 527, 7770, 12846, 5020, 257, 676, 28741, 4223, 23579, 1107, 2060, 7524, 4778, 543, 12050, 11453, 560, 15809, 267, 713, 4062, 19306, 1585, 10051, 2645, 543, 27022, 2059, 609, 5613, 11231, 28426, 269, 2052, 596, 2697, 782, 519, 1114, 3688, 888, 265, 834, 26903, 18200, 324, 18559, 2107, 5190, 1696, 14193, 700, 643, 516, 22748, 613, 257, 9497, 26170, 5020, 609, 2107, 5190, 543, 4414, 3883, 8442, 676, 20844, 717, 5142, 1107, 901, 10699, 626, 20100, 2934, 20718, 5380, 543, 12166, 3029, 269, 18564, 875, 2241, 3615, 1831, 7493, 950, 9763, 8335, 780, 4089, 476, 274, 281, 12861, 2659, 13574, 16505, 9724, 610, 28881, 7305, 26657, 454, 3086, 621, 781, 942, 585, 596, 547, 1711, 707, 1360, 1378, 14254, 610, 10051, 3349, 6429, 256, 7427, 891, 3268, 547, 1205, 3323, 1384, 272, 269, 7994, 707, 4259, 281, 32341, 2436, 596, 1616, 547, 2721, 610, 5862, 707, 1920, 781, 14254, 562, 809, 267, 18226, 1858, 267, 610, 513, 5172, 7944, 538, 707, 10051, 269, 6333, 8654, 543, 7285, 547, 3986, 519, 7099, 540, 707, 11247, 563, 273, 269, 20283, 6667, 281, 6733, 5702, 693, 1018, 3335, 25361, 1346, 5624, 1765, 680, 919, 267, 11680, 267, 8988, 2264, 267, 23040, 9469, 267, 1426, 3688, 267, 3092, 269, 28220, 11315, 31585, 2394, 596, 1265, 513, 5888, 602, 22587, 547, 596, 563, 274, 269, 5410, 3877, 281, 6056, 3564, 1175, 5373, 519, 2168, 3615, 269, 1215, 1281, 707, 2230, 9329, 267, 3280, 267, 610, 1745, 286, 12650, 675, 519, 4664, 859, 12097, 676, 1373, 972, 563, 275, 269, 15331, 609, 2511, 281, 8347, 1210, 1114, 2553, 971, 607, 1216, 10233, 267, 1035, 787, 331, 923, 267, 11954, 22796, 267, 610, 2458, 720, 2326, 269, 2506, 3634, 519, 6163, 540, 4583, 1869, 1272, 5159, 952, 5551, 780, 6962, 912, 3528, 3695, 14254, 610, 10051, 3349, 10207, 998, 1148, 267, 649, 2744, 1007, 7071, 585, 519, 9583, 8723, 3344, 540, 938, 2729, 269, 1306, 596, 2347, 707, 1788, 267, 3314, 602, 1169, 1469, 6645, 513, 1650, 267, 543, 1927, 267, 789, 7866, 1945, 7096, 827, 596, 543, 707, 1158, 269, 8414, 2870, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 21788, 4753, 281, 5240, 517, 267, 29615, 548, 590, 269, 5623, 540, 3979, 700, 5922, 267, 676, 16910, 529, 10815, 532, 269, 2622, 9085, 4653, 476, 6924, 267, 1100, 269, 476, 272, 630, 342, 5793, 476, 1960, 275, 2567, 476, 16928, 268, 6078, 563, 314, 1103, 519, 1739, 2689, 267, 5240, 517, 7710, 519, 19320, 1063, 3979, 700, 5922, 543, 10815, 532, 781, 2833, 538, 4000, 24358, 28893, 700, 5922, 568, 606, 620, 17057, 344, 540, 17728, 267, 2951, 4084, 267, 14469, 626, 1686, 267, 543, 2797, 1521, 1047, 269, 2755, 10815, 532, 21314, 930, 540, 891, 2609, 1732, 982, 1866, 267, 519, 1433, 568, 4502, 2542, 585, 922, 2123, 543, 2518, 607, 1938, 267, 530, 787, 18854, 267, 543, 17770, 7240, 25372, 269, 769, 2040, 267, 519, 960, 19267, 513, 17855, 540, 513, 4807, 945, 13821, 547, 2097, 547, 2474, 609, 968, 1492, 1357, 540, 17915, 267, 8823, 267, 1995, 602, 25907, 892, 1200, 547, 25472, 563, 27832, 532, 1185, 5030, 538, 7810, 10910, 3941, 807, 585, 930, 8938, 19317, 1296, 1354, 4742, 606, 24815, 538, 476, 4198, 277, 1317, 540, 1200, 11685, 547, 3043, 4341, 269, 3979, 700, 5922, 5638, 1200, 24221, 540, 519, 1762, 2197, 540, 25472, 1282, 2185, 11564, 630, 2735, 273, 267, 476, 2735, 279, 267, 476, 2735, 280, 267, 476, 4572, 273, 5148, 519, 1101, 3643, 862, 1878, 1079, 1296, 1310, 7115, 269, 10815, 532, 781, 2543, 9087, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17954, 752, 9724, 610, 28881, 7305, 2480, 25333, 257, 607, 851, 540, 834, 11286, 1315, 23527, 1299, 21771, 1315, 12846, 5020, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 1133, 30584, 532, 27405, 625, 910, 5027, 4515, 4979, 538, 6936, 17235, 15766, 725, 692, 5331, 1373, 2111, 547, 4194, 513, 9814, 1210, 1945, 607, 2189, 607, 707, 1378, 9416, 21646, 256, 4270, 267, 950, 621, 2501, 547, 20414, 20737, 267, 972, 781, 1776, 6909, 1907, 602, 2337, 11523, 2665, 2647, 1930, 1107, 5027, 27992, 269, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 2439, 4089, 476, 272, 281, 1548, 1772, 5027, 888, 10900, 692, 2414, 1174, 5027, 630, 5719, 20293, 1026, 334, 301, 16197, 545, 18729, 264, 27992, 267, 1101, 649, 991, 547, 917, 1018, 5027, 568, 269, 6056, 540, 5027, 899, 513, 1305, 540, 23039, 29251, 3330, 1169 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 707, 7063, 543, 519, 2949, 2168, 2783, 547, 581, 2111, 547, 3758, 513, 1867, 547, 707, 28643, 269, 22252, 707, 2754, 827, 519, 3003, 3510, 543, 519, 2175, 621, 5949, 538, 563, 1103, 1840, 267, 707, 16108, 1058, 849, 2328, 513, 1867, 540, 1010, 1378, 543, 1683, 596, 609, 513, 5299, 269, 1403, 972, 616, 22168, 267, 1118, 2386, 596, 1205, 741, 2489, 1344, 865, 596, 666, 1683, 741, 3346, 952, 2556, 269, 1403, 2009, 267, 1491, 5961, 540, 519, 3135, 1141, 519, 8009, 7018, 269, 4746, 267, 621, 568, 19624, 547, 2328, 519, 3877, 540, 707, 8009, 1247, 3388, 568, 1869, 4195, 538, 707, 2247, 267, 865, 952, 519, 1184, 1951, 7714, 856, 267, 596, 666, 1224, 621, 689, 942, 547, 942, 543, 7618, 3054, 827, 519, 1576, 540, 2621, 269, 1403, 596, 6999, 547, 1217, 3054, 827, 707, 2924, 1310, 519, 4070, 8009, 267, 4945, 1934, 563, 2005, 568, 711, 2653, 547, 1265, 3054, 538, 519, 3510, 547, 581, 13676, 267, 538, 1928, 543, 609, 1082, 12014, 547, 2628, 267, 855, 1510, 519, 2702, 547, 960, 269, 901, 568, 1946, 621, 568, 1271, 547, 917, 707, 2924, 543, 547, 1205, 519, 1318, 13180, 689, 707, 16108, 585, 519, 3510, 596, 616, 538, 269, 4634, 952, 596, 4076, 3144, 782, 519, 3800, 547, 2149, 3054, 267, 10913, 4755, 269, 8347, 547, 3251, 607, 9350, 607, 2009, 267, 865, 596, 666, 2708, 519, 3510, 1843, 1947, 269, 10312, 593, 707, 6051, 543, 798, 1018, 596, 666, 547, 1852, 519, 3510, 269, 0, 299, 1343, 3874, 6189, 281, 18466, 2677, 341, 793, 324, 454, 5141, 1304, 281, 744, 294, 2975, 10370, 517, 10910, 821, 25575, 6647, 454, 19425, 3538, 675, 281, 1849, 2946, 618, 966, 1120, 2946, 569, 11629, 525, 267, 667, 1329, 518, 1299, 667, 1329, 518, 5246, 924, 330, 1084, 454, 1805, 24780, 4702, 281, 645, 15384, 518, 325, 267, 14639, 4211, 5055, 8775, 2859, 331, 267, 4165, 13908, 674, 13741, 686, 454, 19613, 281, 476, 274, 681, 269, 10496, 638, 5202, 1696, 17029, 663, 632, 623, 1722, 267, 476, 277, 3445, 6349, 10370, 517, 630, 15709, 994, 305, 25428, 3618, 568, 2604, 15033, 267, 855, 621, 3112, 1491, 593, 1022, 28995, 610, 19755, 2566, 1510, 15699, 269, 901, 568, 10502, 1018, 1849, 2946, 618, 966, 1120, 2946, 569, 11629, 525, 543, 667, 1329, 518, 1299, 667, 1329, 518, 4941, 547, 2057, 693, 782, 3790, 609, 741, 2107, 836, 2946, 4471, 5604, 2679, 538, 519, 10370, 517, 268, 18183, 26475, 8664, 269, 898, 849, 6941, 519, 11495, 3655, 9809, 1228, 2497, 267, 799, 2934, 1614, 3613, 648, 344, 1612, 20326, 30617, 4171, 21269, 2268, 1472, 476, 275, 269, 4037, 544, 1142, 563, 26589, 609, 1614, 15007, 958, 3710, 543, 3648, 26339, 10821, 5656, 267, 519, 1007, 2497, 26082, 513, 2185, 12268, 26254, 269, 634, 4487, 1544, 585, 519, 10116, 267, 799, 729, 5423, 676, 4173, 345, 690, 1299, 632, 2725, 584, 517, 267, 22509, 1177, 1175, 971, 513, 1614, 3613, 648, 344, 4320, 269, 634, 16413, 1031, 713, 26608, 1288, 547, 759, 584, 5550, 606, 3140, 6237, 2245, 269, 4595, 519, 5664, 12698, 267, 1082, 15155, 4364, 268, 24160, 5656, 723, 1044, 25517, 538, 543, 1472, 10370, 517, 269, 769, 519, 2749, 3294, 267, 789, 723, 15068, 1152, 538, 2127, 593, 2362, 2666, 267, 585, 519, 17160, 540, 476, 7277, 271, 543, 476, 6977, 275, 10032, 519, 10821, 13102, 2282, 519, 5757, 269, 30272, 267, 519, 8128, 4625, 17246, 1228, 2679, 609, 15155, 4364, 3618, 538, 10370, 517, 563, 763, 7299, 3296, 267, 543, 519, 3444, 16687, 540, 519, 476, 1556, 31475, 516, 16538, 6821, 540, 519, 2107, 836, 2946, 4471, 607, 1134, 267, 1246, 519, 4229, 602, 8451, 1369, 281, 689, 5377, 547, 1283, 267, 519, 16538, 3774, 11098, 11081, 689, 476, 3199, 547, 476, 4792, 1298, 22015, 637, 267, 543, 1287, 1586, 547, 476, 2004, 4699, 269, 16816, 6320, 267, 519, 3618, 2679, 5161, 540, 476, 30525, 1367, 267, 4776, 5419, 730, 7161, 269, 634, 3490, 13408, 1614, 6106, 540, 2067, 3613, 821, 7161, 538, 519, 1482, 3898, 282, 607, 606, 1140, 545, 8720, 267, 519, 16413, 8359, 26755, 1793, 11274, 4171, 798, 23439, 9430, 786, 2149, 519, 3618, 9944, 689, 24467, 269, 634, 6366, 8122, 1657, 519, 1793, 11274, 568, 18932, 569, 12630, 543, 3015, 547, 519, 3755, 540, 519, 2679, 269, 634, 3618, 3294, 568, 606, 26995, 1570, 689, 513, 2679, 3135, 476, 1789, 5998, 2476, 267, 585, 519, 25653, 5346, 5748, 3037, 538, 10370, 517, 268, 18183, 26475, 729, 711, 5078, 585, 513, 15155, 4364, 268, 24160, 2679, 269, 634, 2781, 559, 902, 543, 9703, 7028, 2874, 540, 533, 16072, 543, 22495, 730, 16025, 9447, 689, 519, 966, 657, 2471, 10239, 543, 15212, 269, 0, 13126, 281, 25424, 3212, 3899, 454, 13775, 281, 4864, 476, 1001, 279, 454, 13553, 1931, 3206, 454, 6701, 596, 2921, 707, 3375, 6194, 3564, 1101, 1931, 3206, 888, 7197, 1004, 3247, 1934, 267, 1152, 6236, 519, 5497, 1267, 540, 513, 3375, 269, 5822, 1931, 3206, 3340, 596, 547, 979, 513, 1900, 2417, 676, 14236, 519, 4539, 540, 519, 1101, 1931, 2360, 563, 288, 5929, 1383, 568, 519, 595, 2033, 1677, 611, 269, 634, 595, 2033, 1677, 611, 729, 5189, 883, 5245, 547, 1852, 6694, 10860, 267, 855, 568, 1631, 606, 12362, 2249, 31362, 8241, 7320, 269, 5822, 1931, 3206, 1223, 723, 11074, 713, 16160, 3375, 912, 5575, 1931, 3206, 281, 595, 2033, 1677, 6758, 786, 6146, 10860, 563, 13553, 1931, 3206, 281, 595, 2033, 1677, 6758, 616, 20715, 543, 723, 1100, 6237, 11975, 269, 1358, 786, 1831, 10860, 2933, 563, 12441, 596, 5660, 519, 1249, 2221, 286, 0, 18907, 476, 866, 568, 9947, 564, 7570, 9702, 269, 4892, 786, 8661, 9947, 564, 7570, 267, 513, 9702, 16033, 908, 519, 1554, 3377, 540, 519, 661, 2006, 322, 11692, 1160, 17474, 6603, 7147, 267, 609, 3625, 6105, 267, 3434, 8083, 543, 3872, 2621, 563, 4407, 9947, 564, 7570, 22842, 519, 661, 2006, 322, 11692, 1160, 17474, 267, 799, 1152, 15685, 10437, 538, 519, 3162, 267, 519, 476, 1724, 628, 14821, 568, 1018, 13166, 8694, 8474, 538, 519, 772, 2529, 563, 763, 9702, 568, 3168, 513, 2370, 1114, 689, 1034, 1296, 563, 27908, 687, 540, 4892, 3576, 547, 519, 10754, 547, 13889, 7292, 21440, 2063, 4832, 538, 3210, 547, 519, 7972, 540, 6723, 4469, 20477, 267, 6601, 30358, 13177, 543, 824, 4563, 4892, 269, 634, 13889, 3350, 17275, 606, 5571, 5188, 1472, 11528, 10168, 543, 7128, 30468, 563, 763, 17600, 849, 6659, 3007, 585, 519, 2956, 540, 9947, 564, 7570, 607, 3549, 1519, 715, 833, 267, 12108, 543, 772, 828, 616, 4758, 5520, 6976, 2395, 1055, 563, 4415, 476, 13893, 28985, 4892, 4628, 18764, 1996, 5046, 268, 866, 267, 1082, 786, 5531, 538, 1268, 1310, 14120, 12303, 538, 476, 1708, 271, 269, 0, 3725, 1783, 910, 476, 277, 628, 3446, 630, 1556, 344, 264, 910, 2979, 2042, 454, 10831, 540, 2042, 1336, 281, 476, 28796, 454, 1103, 476, 1001, 275, 267, 519, 2040, 540, 519, 6502, 540, 2725, 12174, 781, 31225, 267, 1200, 8250, 543, 1200, 6264, 323, 5922, 729, 3160, 547, 476, 1911, 1296, 269, 769, 1018, 1032, 729, 519, 6264, 323, 5922, 4535, 267, 952, 649, 917, 602, 519, 2085, 540, 1142, 666, 581, 6829, 607, 519, 1379, 540, 1079, 888, 298, 18866, 2306, 513, 4308, 609, 513, 1352, 23311, 547, 1491, 1416, 540, 1010, 13265, 269, 2701, 23311, 1767, 918, 18866, 602, 1310, 513, 1032, 540, 3028, 267, 646, 1131, 4309, 8938, 4154, 11113, 543, 835, 13265, 269, 1809, 918, 18866, 759, 11220, 1175, 1310, 519, 18749, 3923, 540, 3028, 269, 1809, 1352, 23311, 30039, 1864, 543, 6976, 554, 454, 268, 6828, 540, 1453, 454, 2467, 568, 513, 1895, 540, 1453, 269, 1703, 568, 513, 7911, 3957, 14088, 538, 1142, 540, 519, 1614, 1453, 32299, 543, 513, 8004, 3957, 2142, 1092, 538, 1142, 14415, 564, 630, 27917, 2173, 1897, 32299, 1040, 1215, 1082, 1453, 666, 581, 538, 971, 513, 1895, 543, 1018, 616, 741, 4408, 538, 602, 2013, 888, 268, 966, 3317, 6516, 454, 17206, 1053, 8359, 513, 4914, 1893, 585, 519, 476, 272, 560, 1032, 269, 2986, 519, 476, 6344, 19801, 1053, 267, 476, 4037, 8359, 2296, 267, 476, 4792, 4436, 267, 543, 476, 2412, 1312, 2296, 543, 4436, 269, 4635, 519, 966, 3317, 6516, 267, 3313, 281, 910, 875, 1082, 540, 519, 19801, 1053, 8359, 2296, 1152, 910, 875, 1082, 454, 268, 5678, 6030, 454, 8170, 519, 2754, 781, 476, 2568, 5520, 267, 476, 2764, 7390, 606, 2296, 1576, 267, 476, 1704, 1491, 513, 4436, 1576, 267, 543, 476, 736, 798, 711, 7390, 1022, 540, 891, 6030, 269, 1215, 1082, 5520, 7390, 1312, 6030, 888, 268, 20553, 4216, 454, 1692, 1082, 18695, 609, 606, 6316, 540, 476, 273, 269, 276, 4699, 3514, 883, 513, 4216, 7893, 476, 1556, 269, 277, 4699, 282, 476, 279, 269, 280, 4699, 543, 476, 1724, 269, 4037, 4699, 888, 268, 6555, 14548, 676, 8370, 454, 1692, 1082, 1614, 18251, 2067, 2338, 538, 2698, 616, 16883, 1510, 513, 14230, 676, 519, 1297, 476, 280, 888, 9336, 1485, 835, 9441, 3762, 609, 476, 273, 5618, 322, 1162, 543, 7024, 593, 519, 476, 275, 628, 1554, 269, 1452, 476, 273, 5618, 322, 1162, 530, 2632, 581, 2139, 11489, 519, 476, 4962, 628, 1554, 607, 519, 8977, 532, 9441, 3762, 1354, 519, 5618, 322, 1162, 21128, 1394, 543, 19345, 5265, 269, 1215, 1082, 5618, 322, 1162, 616, 2877, 547, 552, 454, 268, 1215, 1082, 454, 1692, 1082, 2338, 616, 1447, 982, 476, 19442, 609, 513, 7857, 2040, 568, 476, 279, 888, 268, 2201, 519, 6989, 454, 2791, 4283, 519, 4055, 543, 972, 616, 476, 273, 5243, 267, 476, 275, 9640, 267, 476, 272, 30539, 11738, 543, 835, 21868, 593, 519, 5127, 267, 476, 274, 17944, 616, 10760, 936, 519, 11381, 269, 1215, 1082, 3952, 616, 593, 519, 6989, 888, 31568, 543, 6754, 4956, 547, 1404, 21802, 1996, 1142, 824, 269, 1358, 914, 4557, 26240, 657, 593, 1142, 3014, 789, 5129, 269, 10793, 4465, 1614, 914, 338, 543, 6754, 4465, 15823, 26240, 657, 269, 1215, 1082, 3756, 1705, 789, 1404, 888, 3080, 4212, 23017, 538, 476, 1015, 3764, 267, 875, 1279, 786, 621, 1491, 547, 14974, 4557, 5798, 693, 513, 942, 888, 268, 634, 15250, 731, 454, 275, 10151, 4600, 19122, 519, 15250, 731, 538, 476, 280, 2395, 269, 1215, 1082, 10151, 4600, 649, 991, 585, 3670, 2395, 888, 268, 3427, 1032, 454, 4263, 519, 4098, 540, 519, 1153, 1032, 267, 476, 31256, 31940, 543, 476, 21857, 9499, 616, 4712, 547, 581, 7856, 538, 519, 4928, 269, 2353, 10453, 4309, 519, 1482, 1297, 540, 31940, 543, 519, 1482, 2179, 540, 9499, 269, 1215, 1082, 10453, 616, 972, 538, 519, 1362, 952, 596, 917, 602, 555, 454, 268, 2142, 564, 5859, 454, 763, 14043, 781, 2361, 568, 1373, 19122, 269, 2142, 1115, 616, 16487, 547, 476, 274, 2371, 267, 476, 274, 18114, 269, 634, 1101, 1286, 7024, 547, 519, 2361, 476, 274, 2053, 606, 5662, 267, 519, 2034, 1286, 1310, 476, 1789, 3764, 267, 543, 519, 3791, 1286, 476, 276, 2053, 606, 5662, 269, 2353, 6517, 2451, 693, 476, 279, 538, 519, 6640, 269, 1215, 1082, 6517, 798, 530, 454, 268, 1635, 3670, 454, 5804, 519, 9704, 476, 272, 267, 273, 267, 274, 267, 275, 649, 1711, 519, 1279, 8870, 1297, 476, 11277, 31404, 30130, 23056, 269, 10371, 10371, 2073, 799, 786, 723, 476, 280, 7830, 9704, 269, 1772, 713, 1297, 16883, 676, 476, 277, 888, 268, 29564, 543, 19946, 454, 2467, 616, 476, 3374, 1453, 538, 519, 1362, 267, 476, 2537, 540, 873, 723, 513, 7015, 267, 543, 476, 2767, 540, 873, 723, 513, 11078, 269, 1215, 1082, 1453, 723, 1312, 513, 7015, 543, 513, 11078, 950, 972, 616, 476, 276, 1453, 538, 519, 1362, 945, 723, 1100, 7015, 610, 11078, 888, 268, 8422, 3515, 454, 4263, 476, 277, 993, 267, 1614, 1668, 3515, 616, 8977, 532, 689, 519, 6728, 269, 634, 1101, 1899, 814, 606, 8884, 540, 476, 2190, 3764, 269, 634, 2034, 1899, 814, 606, 8884, 540, 476, 1428, 3764, 269, 634, 3791, 1899, 8255, 693, 2834, 11996, 540, 811, 982, 476, 272, 8792, 269, 634, 3791, 1899, 8255, 693, 519, 1482, 942, 607, 512, 454, 268, 5681, 540, 519, 9704, 454, 1692, 1082, 616, 1079, 18251, 2067, 2338, 602, 723, 519, 2040, 540, 519, 9704, 476, 280, 888, 268, 476, 3393, 628, 14512, 454, 1607, 1032, 11427, 269, 7581, 591, 9976, 1200 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11441, 547, 1628, 2635, 543, 15962, 22686, 3347, 780, 31636, 568, 13654, 547, 782, 3344, 540, 1920, 1272, 269, 13229, 2792, 3322, 3742, 6947, 267, 6568, 267, 19969, 267, 543, 7682, 4369, 269, 4340, 547, 1382, 676, 4460, 2006, 1696, 620, 269, 630, 1001, 271, 1070, 15185, 945, 4497, 538, 2834, 543, 6209, 7391, 616, 811, 2693, 547, 1867, 2362, 2157, 540, 9547, 543, 6617, 538, 741, 22888, 269, 901, 4466, 19156, 519, 2956, 540, 1930, 543, 9237, 5188, 1063, 838, 11817, 267, 3237, 267, 543, 1453, 269, 5047, 267, 4168, 10752, 5000, 13794, 547, 5968, 609, 11587, 267, 9639, 267, 543, 21548, 269, 1280, 3236, 267, 9210, 1127, 2103, 476, 275, 281, 3066, 2829, 267, 968, 4131, 1100, 18348, 532, 2911, 2097, 856, 540, 707, 28182, 267, 855, 1152, 971, 607, 568, 1434, 585, 2679, 909, 267, 607, 13352, 519, 8317, 267, 602, 621, 949, 2285, 11419, 547, 1346, 945, 5873, 1848, 4935, 267, 10271, 5431, 602, 1913, 723, 1379, 267, 543, 789, 3343, 547, 946, 1893, 4020, 1947, 547, 7794, 741, 22686, 7554, 780, 13356, 1707, 6194, 568, 1776, 2629, 2460, 540, 1920, 6384, 269, 19198, 1590, 1118, 3875, 3664, 3232, 267, 8151, 689, 27217, 6927, 971, 607, 7594, 4058, 547, 1713, 5079, 827, 2069, 267, 4876, 267, 18083, 267, 543, 5289, 1646, 269, 2755, 1367, 13190, 568, 1898, 267, 10271, 3494, 602, 7104, 7326, 543, 20559, 618, 666, 1291, 547, 1732, 4093, 269, 1160, 18690, 476, 1428, 281, 2420, 4967, 267, 968, 21413, 8480, 4566, 3111, 267, 855, 609, 1082, 9666, 619, 789, 8011, 1848, 20985, 3375, 6194, 3157, 5512, 3885, 547, 2721, 2390, 3309, 5380, 267, 1983, 267, 543, 2833, 1247, 5807, 513, 2631, 540, 3838, 9562, 543, 5539, 269, 5015, 267, 5473, 782, 2818, 538, 3375, 6194, 267, 2523, 1453, 267, 16877, 873, 547, 3565, 25006, 547, 1920, 1272, 543, 22316, 873, 585, 2104, 5718, 5107, 780, 305, 3421, 543, 9021, 1369, 3885, 616, 1419, 8032, 676, 2686, 8155, 267, 6848, 6788, 267, 543, 2123, 7375, 269, 12465, 4168, 3450, 29102, 3982, 4008, 5107, 267, 609, 2367, 7674, 607, 3401, 543, 7426, 543, 2021, 14322, 14637, 543, 11215, 3252, 269, 1717, 267, 2413, 12496, 540, 23075, 4161, 713, 9352, 2070, 543, 12167, 585, 552, 6549, 9107, 12352, 1759, 593, 4573, 7081, 267, 7862, 267, 543, 25262, 640, 630, 22380, 648, 333, 5633, 267, 476, 2735, 274, 1040, 17859, 540, 1808, 1909, 15523, 267, 10271, 11760, 602, 1169, 4759, 814, 2189, 13344, 543, 15421, 547, 2709, 543, 602, 3025, 779, 7418, 616, 3407, 543, 2556, 269, 1635, 8508, 5714, 543, 8465, 1909, 8847, 267, 3885, 666, 11349, 513, 2528, 540, 5698, 267, 9316, 267, 543, 22524, 11163, 780, 20175, 6384, 3277, 547, 3270, 540, 3310, 267, 1852, 267, 543, 6392, 1369, 3885, 269, 27814, 267, 1379, 1058, 581, 27361, 931, 839, 1302, 267, 31719, 267, 543, 1649, 5271, 565, 1836, 267, 5009, 519, 8171, 540, 782, 2818, 269, 10251, 267, 930, 3885, 1995, 12604, 2331, 1379, 3889, 6353, 676, 28735, 267, 12879, 267, 543, 28170, 542, 269, 14301, 593, 13400, 3741, 971, 607, 22700, 5718, 630, 15812, 476, 1015, 281, 5655, 268, 3393, 264, 543, 19169, 16135, 538, 27527, 585, 2441, 630, 22977, 1127, 2103, 476, 276, 281, 2641, 268, 3451, 1070, 10271, 2832, 547, 3715, 12581, 1379, 1894, 6825, 676, 2463, 267, 3972, 267, 543, 12477, 269, 1358, 849, 5431, 602, 13438, 267, 11413, 267, 543, 1476, 11970, 630, 22832, 476, 276, 281, 1626, 264, 666, 948, 11574, 1379, 13103, 543, 3895, 7067, 543, 21047, 780, 289, 895, 2456, 1629, 2117, 622, 2168, 267, 3929, 267, 7214, 267, 543, 22228, 7182, 602, 2149, 2043, 689, 2800, 543, 8190, 741, 15683, 269, 17553, 3617, 6302, 6087, 3885, 547, 2226, 2635, 4296, 1510, 27531, 2123, 13190, 610, 1266, 754, 1359, 679, 6996, 327, 618, 269, 26787, 2312, 4808, 3823, 7834, 267, 25055, 267, 22637, 267, 543, 13190, 2337, 2061, 7526, 543, 6536, 3972, 269, 1306, 2725, 1512, 630, 1220, 280, 264, 32625, 267, 10465, 19374, 666, 1267, 538, 4606, 540, 32659, 267, 10845, 267, 543, 17140, 267, 2144, 5317, 22686, 10103, 543, 17604, 269, 17957, 267, 26621, 6302, 31825, 1416, 267, 6161, 267, 543, 2543, 585, 1866, 267, 17923, 2318, 4205, 543, 3413, 15256, 1142, 1268, 779, 7915, 4502, 780, 18183, 12787, 6571, 13054, 513, 3803, 25246, 540, 1920, 6384, 17709, 540, 6514, 269, 2598, 698, 872, 906, 543, 13882, 616, 17149, 1369, 3885, 1813, 547, 3604, 538, 7209, 267, 29525, 267, 2418, 267, 4978, 267, 543, 3853, 269, 11048, 267, 10271, 1935, 4655, 998, 513, 29260, 7828, 602, 11394, 11808, 267, 7067, 267, 543, 2208, 2864, 982, 1427, 9084, 267, 642, 3188, 766, 267, 610, 10751, 269, 17848, 539, 538, 15623, 476, 1240, 281, 1428, 268, 1704, 267, 713, 5133, 7512, 1463, 6278, 267, 17519, 30925, 267, 19807, 267, 543, 4708, 14708, 269, 1635, 8026, 3742, 32593, 550, 2792, 630, 305, 4923, 6199, 267, 476, 1220, 276, 1070, 10271, 20089, 547, 2981, 10779, 25106, 13341, 883, 3255, 585, 4514, 4276, 267, 2799, 1620, 267, 543, 8476, 6568, 780, 1103, 3932, 267, 3695, 1920, 6384, 998, 519, 7828, 540, 4168, 10752, 8761, 513, 3638, 13795, 540, 4030, 267, 2853, 267, 543, 21644, 602, 3391, 21071, 4724, 8902, 267, 18668, 267, 543, 2868, 1512, 2729, 1927, 269, 9442, 267, 3375, 6194, 267, 5107, 267, 1379, 6384, 267, 6302, 267, 543, 4655, 6571, 2099, 1883, 7516, 540, 1920, 8647, 602, 15549, 6297, 7156, 543, 5571, 6268, 269, 12056, 609, 4207, 3466, 267, 1483, 8996, 1806, 267, 543, 5969, 12967, 1382, 2636, 721, 547, 15052, 938, 8223, 540, 891, 1950, 9259, 267, 6038, 30015, 721, 547, 1831, 8069, 540, 7004, 543, 25863, 1369, 938, 1378, 3885, 543, 3564, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10376, 2542, 8086, 1058, 581, 513, 5934, 540, 476, 275, 3817, 630, 29602, 17898, 3166, 264, 543, 1058, 1331, 519, 1739, 3334, 281, 513, 5618, 973, 777, 540, 519, 1292, 2798, 540, 602, 9074, 267, 2123, 2565, 18759, 543, 2079, 267, 543, 519, 946, 540, 693, 2547, 1079, 824, 14046, 2959, 630, 27237, 689, 519, 1362, 13220, 1040, 634, 5934, 3259, 540, 476, 275, 3817, 1281, 10691, 1331, 513, 2140, 2985, 610, 15853, 630, 6518, 1058, 581, 5094, 3817, 1916, 763, 973, 777, 949, 1331, 513, 5618, 5758, 540, 519, 9074, 607, 513, 2898, 10758, 621, 949, 1445, 593, 835, 1808, 22521, 1770, 630, 328, 4318, 269, 519, 1808, 11000, 270, 15105, 593, 751, 4582, 13370, 1143, 1040, 3958, 267, 519, 5758, 1058, 581, 5266, 2110, 543, 13801, 607, 519, 2565, 18759, 616, 519, 1034, 1271, 5057, 540, 713, 7084, 269, 4841, 949, 6999, 547, 2232, 519, 1739, 2055, 281, 1215, 798, 1808, 3029, 540, 2923, 630, 14895, 267, 4950, 4609, 267, 7641, 2982, 267, 9413, 267, 610, 2575, 264, 9446, 1808, 4984, 5389, 286, 3657, 891, 28402, 4977, 610, 798, 789, 2992, 1455, 11475, 286, 1215, 798, 3909, 5389, 2308, 988, 333, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23991, 18868, 257, 607, 851, 540, 834, 32628, 1315, 4168, 12389, 1315, 7731, 1299, 17716, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 1012, 4197, 12793, 543, 28977, 609, 5124, 692, 1103, 713, 1770, 267, 649, 786, 2263, 3252, 543, 11708, 1210, 5124, 267, 513, 3532, 5752, 1893, 269, 1284, 786, 946, 519, 2387, 31596, 319, 543, 2387, 3901, 15003, 319, 8021, 547, 1711, 543, 14650, 3252, 269, 1403, 596, 10093, 1405, 8704, 891, 8021, 2943, 267, 596, 666, 798, 865, 676, 4881, 519, 1739, 12981, 1384, 3499, 7090, 454, 256, 26921, 3888, 11885, 21267, 454, 7884, 2162, 7383, 532, 23905, 692, 2414, 2253, 267, 649, 991, 547, 1104, 519, 8021, 649, 786, 581, 1210, 269, 1284, 786, 946, 2387, 31596, 319, 585, 6310, 4238, 543, 2387, 3901, 15003, 28272, 319, 585, 28321, 11708, 780, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5228, 21267, 1104, 7510, 7120, 607, 12301, 454, 7884, 2162, 20223, 519, 25159, 692, 9202, 267, 649, 786, 5581, 930, 4632, 269, 634, 4756, 2387, 24472, 319, 568, 513, 2039, 540, 2338, 689, 476, 271, 269, 1822, 272, 547, 476, 271, 269, 275, 4200, 267, 609, 476, 1911, 2338, 538, 1063, 269, 901, 568, 2813, 1210, 519, 2387, 31596, 7456, 1231, 10628, 319, 1599, 780, 3499, 7090, 454, 24472, 815, 5286, 7456, 1231, 10628, 263, 271, 269, 1822, 272, 267, 476, 271, 269, 275, 4200, 267, 476, 1911, 994, 7884, 763, 4756, 2387, 24838, 319, 568, 513, 2582, 1297, 267, 799, 649, 786, 946, 538, 938, 1599, 780, 3499, 7090, 454, 24838, 815, 476, 271, 269, 276, 454, 7884, 763, 4756, 2387, 3712, 832, 319, 568, 513, 1592, 540, 12673, 267, 1142, 8204, 513, 1114, 2681, 269, 1284, 786, 946, 891, 4778, 547, 4729, 1114, 3252, 593, 519, 1482, 3113, 780, 3499, 7090, 454, 3712, 832, 815, 18358, 337, 3299, 1412, 326, 3299, 1412, 321, 3299, 1412, 344, 23300, 7884, 2162, 4197, 519, 9577, 692, 763, 1599, 649, 786, 581, 2324, 609, 568, 1384, 16465, 325, 7268, 24472, 264, 815, 16733, 272, 910, 476, 273, 315, 24472, 22722, 263, 272, 910, 1422, 24838, 14587, 264, 1422, 9392, 16733, 272, 1341, 476, 273, 315, 24472, 22722, 263, 272, 1341, 1422, 24838, 14587, 994, 9681, 1607, 1599, 3217, 538, 513, 1871, 540, 2387, 24472, 319, 543, 7024, 513, 1871, 540, 2387, 325, 14116, 10397, 264, 18269, 634, 1871, 540, 2387, 24838, 319, 5540, 519, 3337, 540, 519, 1599, 269, 1284, 786, 2263, 713, 2663, 780, 2162, 18140, 1154, 519, 9577, 692, 2414, 4729, 519, 1599, 267, 649, 786, 946, 513, 2387, 1721, 319, 8520, 547, 621, 4733, 936, 1114, 2418, 540, 2387, 24838, 319, 543, 1114, 4778, 269, 1280, 1142, 21767, 267, 649, 5173, 519, 1871, 540, 519, 1599, 585, 1142, 1871, 540, 2387, 24472, 319, 543, 4729, 621, 593, 519, 3113, 780, 3499, 7090, 454, 1721, 11002, 334, 267, 2681, 538, 23407, 8443, 271, 269, 272, 267, 476, 271, 269, 274, 267, 476, 271, 269, 276, 267, 476, 272, 269, 276, 3910, 4778, 2187, 825, 1871, 815, 16733, 272, 910, 476, 273, 265, 24472, 264, 1262, 263, 272, 910, 11002, 334, 4297, 265, 9230, 272, 1341, 476, 273, 265, 24472, 264, 1262, 263, 272, 1341, 11002, 334, 11723, 825, 12301, 19502, 14116, 10397, 267, 1871, 267, 1899, 12296, 284, 273, 267, 6003, 284, 337, 262, 7445, 24838, 815, 4939, 269, 272, 325, 259, 262, 4939, 11002, 334, 2676, 17264, 2681, 284, 10233, 994, 825, 12301, 269, 1314, 341, 1467, 263, 24838, 270, 273, 267, 13274, 5598, 8782, 734, 3299, 1899, 12296, 284, 273, 267, 2681, 284, 10233, 994, 7884, 1103, 519, 2387, 7120, 319, 1599, 267, 649, 14574, 519, 2387, 24472, 319, 2418, 607, 519, 1535, 268, 11161, 543, 519, 2387, 7407, 319, 607, 519, 586, 268, 11161, 269, 1284, 849, 14574, 519, 1899, 8700, 267, 519, 6003, 630, 6518, 786, 2408, 538, 519, 10828, 1070, 543, 519, 2681, 780, 763, 2387, 1314, 341, 1467, 319, 1599, 568, 1031, 547, 2721, 513, 7299, 1899, 693, 2387, 24838, 270, 273, 18269, 901, 1899, 568, 546, 14414, 543, 814, 519, 1482, 2681, 607, 519, 1599, 780, 2162, 6997, 9934, 519, 8641, 692, 7661, 267, 649, 786, 1039, 10297, 547, 519, 1535, 543, 586, 17887, 543, 513, 10828, 547, 519, 3113, 269, 1284, 786, 849, 1039, 513, 7470, 780, 3499, 7090, 454, 10823, 269, 5586, 754, 4590, 10823, 11859, 16932, 3488, 7445, 24472, 259, 3299, 23935, 1125, 284, 736, 994, 10823, 269, 29786, 3488, 325, 3299, 23935, 1125, 284, 736, 994, 10823, 26942, 263, 12148, 994, 10823, 20481, 4590, 7884, 763, 2387, 5586, 754, 319, 1599, 8591, 513, 10828, 547, 519, 3113, 267, 1210, 519, 10297, 649, 9138, 538, 519, 2387, 7120, 319, 1599, 269, 634, 2387, 343, 16932, 319, 543, 2387, 29786, 319, 3252, 1039, 10297, 547, 519, 1535, 543, 586, 17887, 267, 6606, 269, 634, 2387, 28186, 319, 1599, 8591 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1066, 320, 8599, 3992, 4566, 476, 280, 628, 3446, 4073, 10488, 454, 7883, 4569, 7689, 12697, 3689, 6103, 476, 272, 4569, 595, 476, 275, 932, 24075, 656, 1335, 636, 18679, 763, 6520, 2986, 16709, 8018, 23433, 6184, 2869, 1049, 18679, 288, 342, 13135, 14635, 2986, 476, 278, 628, 6103, 4569, 7689, 12697, 7147, 18679, 8512, 338, 2986, 589, 7233, 7689, 4643, 6103, 476, 274, 12085, 3955, 716, 18679, 16498, 4065, 7689, 12697, 1280, 12729, 3427, 18679, 19968, 4569, 6435, 543, 5623, 6092, 6732, 11473, 16497, 454, 275, 628, 6103, 4317, 5525, 7689, 12697, 476, 275, 628, 6103, 4317, 18679, 20981, 8871, 14186, 585, 21931, 543, 9608, 5675, 634, 18679, 288, 2143, 3992, 1544, 454, 2004, 661, 5586, 656, 3212, 7689, 4643, 22276, 2349, 1678, 1763, 2541, 12726, 18679, 24058, 8551, 7689, 12697, 16504, 3427, 7756, 7007, 18679, 292, 16435, 7689, 12697, 1280, 20661, 16592, 29329, 8771, 18679, 19177, 628, 6103, 5675, 7689, 12697, 9752, 20429, 769, 18679, 272, 560, 6103, 22252, 1049, 9442, 20905, 4303, 19874, 18679, 305, 10718, 7689, 12697, 476, 280, 628, 6103, 454, 7883, 4569, 7689, 12697, 3689, 6103, 454, 18439, 3464, 7689, 12697, 476, 276, 628, 6103, 454, 23612, 6103, 4569, 7689, 12697, 5871, 18679, 8512, 338, 540, 513, 7233, 7689, 4643, 6103, 18679, 16498, 4065, 7689, 12697, 18679, 19968, 4569, 7689, 12697, 585, 18679, 275, 628, 6103, 4993, 3778, 7689, 18679, 23991, 26492, 7689, 12697, 18679, 22706, 476, 277, 4569, 7689, 12697, 454, 289, 578, 1782, 7689, 12697, 585, 5664, 18679, 24058, 8551, 7689, 12697, 16504, 18679, 292, 16435, 7689, 12697, 585, 4400, 3427, 454, 19177, 628, 6103, 5675, 22544, 7689, 18679, 10190, 543, 3767, 7689, 12697, 476, 272, 560, 6103, 0, 2467, 723, 1044, 1082, 25349, 3137, 538, 12394, 547, 1174, 6760, 543, 1821, 4800, 538, 938, 2486, 267, 930, 540, 519, 9998, 1373, 519, 7418, 1500, 676, 4427, 322, 8590, 15257, 543, 4612, 643, 1235, 269, 6969, 4427, 322, 8590, 15257, 2705, 267, 6760, 543, 1821, 4800, 729, 6045, 676, 1514, 1852, 281, 20736, 330, 8583, 779, 1533, 540, 606, 558, 773, 607, 1134, 607, 661, 16379, 542, 328, 779, 1209, 23540, 5059, 15866, 593, 513, 15059, 540, 1514, 22122, 543, 2242, 538, 519, 2146, 269, 1452, 6436, 1298, 1042, 593, 875, 2242, 538, 938, 2486, 3812, 1821, 5050, 7180, 563, 8138, 322, 8590, 15257, 2705, 18013, 593, 875, 1346, 945, 3479, 6760, 3180, 1114, 2418, 547, 13416, 2486, 543, 875, 891, 2418, 666, 2048, 3286, 1518, 685, 6760, 269, 3509, 23658, 8590, 1235, 723, 9862, 1114, 6436, 855, 782, 8998, 593, 1620, 875, 1821, 4800, 568, 811, 7805, 1369, 3043, 2324, 1362, 8695, 282, 1759, 593, 519, 3084, 7194, 585, 6760, 267, 799, 693, 519, 942, 630, 4198, 271, 266, 264, 941, 2938, 607, 4977, 269, 1733, 12241, 891, 6436, 723, 741, 9342, 799, 786, 581, 11609, 1985, 267, 649, 666, 849, 1294, 875, 789, 616, 30096, 563, 16729, 593, 519, 960, 540, 1775, 11631, 13304, 20736, 330, 8583, 267, 853, 1778, 28636, 723, 1044, 4359, 676, 631, 30639, 630, 4350, 279, 1070, 28137, 630, 4198, 276, 264, 1299, 595, 869, 731, 543, 7937, 4802, 630, 3422, 271, 1040, 7917, 918, 631, 30639, 1031, 20736, 330, 8583, 779, 10206, 540, 606, 558, 773, 547, 2491, 875, 6848, 2048, 560, 1778, 685, 610, 12503, 666, 1267, 538, 476, 272, 540, 476, 276, 7104, 6114, 267, 3976, 621, 666, 581, 6045, 607, 513, 4427, 322, 8590, 3210, 547, 6760, 543, 1821, 1014, 1097, 269, 4706, 5098, 568, 8200, 2390, 513, 1514, 2497, 602, 6585, 519, 1482, 3853, 547, 782, 922, 2818, 267, 1510, 4758, 873, 3160, 1797, 547, 3035, 873, 563, 1607, 568, 1655, 11609, 676, 519, 2048, 13563, 14134, 685, 799, 12034, 1570, 1143, 607, 513, 2268, 540, 1967, 1107, 1635, 3025, 4687, 519, 1482, 3853, 621, 666, 3132, 811, 2048, 560, 1778, 685, 585, 1346, 8572, 547, 30593, 713, 7104, 3804, 269, 631, 30639, 6799, 2947, 12331, 540, 15268, 547, 8833, 269, 1261, 1705, 711, 1611, 602, 3025, 945, 729, 17792, 1569, 547, 2486, 779, 3853, 2968, 1821, 5050, 269, 13298, 519, 3210, 267, 610, 12331, 540, 9542, 267, 5673, 593, 519, 1367, 779, 8456, 4724, 2686, 3853, 269, 1230, 845, 640, 568, 519, 1034, 1455, 7154, 540, 9542, 563, 31714, 3398, 1312, 519, 3853, 607, 1134, 607, 519, 11311, 1797, 585, 8236, 1346, 3853, 543, 3274, 17498, 7051, 741, 3853, 538, 1931, 547, 3035, 873, 269, 15706, 945, 3082, 998, 5647, 3398, 6848, 3853, 855, 723, 1906, 16048, 1797, 547, 3035, 1346, 3853, 267, 3976, 789, 1711, 741, 1378, 1797, 547, 1205, 6619, 269, 634, 1797, 547, 1205, 6619, 949, 581, 998, 3775, 25053, 267, 900, 2041, 3960, 2211, 610, 824, 971, 7803, 6411, 269, 769, 9161, 1143, 267, 519, 3791, 9542, 267, 2043, 10205, 519, 3853, 789, 2899, 5156, 547, 581, 1369, 741, 3914, 543, 4142, 6510, 2933, 547, 741, 1699, 6197, 269, 1358, 1404, 676, 519, 3652, 543, 723, 513, 3232, 2922, 6296, 563, 14303, 805, 1143, 568, 519, 9542, 540, 1346, 945, 2285, 909, 711, 1152, 519, 3853, 855, 849, 519, 1797, 269, 1358, 1419, 18956, 883, 519, 1158, 540, 29015, 543, 3075, 8213, 269, 1358, 9101, 883, 513, 1875, 1790, 8793, 6197, 269, 634, 3803, 9542, 267, 18326, 267, 4386, 950, 519, 2686, 3853, 543, 519, 16048, 1797, 616, 15653, 269, 15706, 1711, 741, 1378, 3853, 543, 741, 1378, 1797, 267, 676, 13889, 610, 12316, 2534, 269, 1733, 12241, 8833, 6436, 17648, 782, 1004, 1616, 519, 1482, 3853, 568, 1281, 3801, 547, 2491, 1946, 1004, 949, 2490, 547, 6760, 267, 621, 568, 2705, 1932, 15002, 2065, 543, 814, 1044, 10404, 2213, 607, 971, 563, 2704, 6975, 918, 28137, 476, 4198, 276, 267, 945, 849, 1445, 338, 539, 593, 8833, 6436, 267, 6743, 693, 1821, 4800, 799, 7012, 1406, 17215, 12592, 855, 3274, 2944, 585, 519, 26497, 540, 519, 957, 282, 4207, 1383, 540, 713, 616, 1869, 7298, 998, 1178, 29201, 543, 642, 663, 16117, 8051, 585, 476, 1240, 260, 540, 6760, 6592, 269, 4340, 547, 28137, 2048, 12294, 11665, 685, 8695, 538, 519, 2069, 1062, 3343, 547, 900, 3634, 1647, 1362, 2418, 543, 8321, 566, 855, 3274, 26218, 519, 1797, 547, 798, 865, 269, 901, 3366, 547, 1010, 1292, 5098, 540, 4567, 17140, 269, 634, 1267, 267, 519, 8695, 15653, 519, 3270, 540, 2048, 28412, 685, 7180, 543, 18656, 3022, 538, 24431, 3469, 6411, 267, 711, 12592, 676, 2724, 855, 538, 606, 3801, 547, 2744, 4567, 563, 1103, 1010, 1353, 593, 28477, 1821, 2812, 28137, 22579, 519, 2165, 2048, 332, 7394, 3443, 923, 9957, 1261, 729, 12394, 547, 2491, 875, 5208, 602, 13264, 856, 1063, 1079, 23658, 30743, 729, 28659, 676, 519, 2923, 282, 519, 2048, 600, 680, 2305, 685, 5713, 547, 9029, 547, 519, 1857, 865, 602, 789, 598, 2017, 609, 4712, 13402, 8369, 827, 519, 1576, 540, 2962, 547, 581, 3144, 269, 4427, 322, 11857, 666, 2285, 606, 1367, 3961, 267, 7104, 3853, 267, 4630, 23189, 1107, 891, 7907, 949, 723, 17275, 5208, 855, 28137, 568, 11021, 519, 2923, 29208, 729, 513, 2101, 3815, 585, 519, 1821, 4800, 891, 2516, 8045, 563, 10870, 1156, 814, 1044, 10404, 2213, 585, 1010, 4008, 21901, 267, 972, 616, 1100, 4901, 540, 8951, 538, 1010, 960, 269, 4033, 1914, 5505, 10404, 1047, 1010, 32592, 757, 585, 6616, 1018, 1647, 1362, 2418, 616, 269, 595, 869, 731, 1299, 7937, 4802, 2709, 513, 1114, 7778, 267, 789, 6085, 593, 519, 24648, 527, 1493, 4316, 2497, 269, 19402, 1631, 267, 649, 1185, 10924, 602, 972, 729, 835, 16048, 4316, 2497, 538, 938, 2486, 269, 595, 869, 731, 543, 7937, 4802, 10404, 2213, 631, 30639, 585, 711, 711, 6005, 513, 6252, 2497, 602, 1010, 8833, 3069, 4769, 1406, 2272, 585, 563, 6097, 547, 595, 869, 731, 1299, 7937, 4802, 267, 713, 10363, 4316, 2497, 1185, 1614, 14624, 610, 23658, 30743, 282, 7803, 267, 4655, 1299, 18956, 1235, 269, 22518, 23658, 30743, 1141, 1762, 25476, 666, 960, 741, 1259, 909, 519, 7803, 21117, 267, 4655, 799, 18013, 540, 5208, 547, 3035, 1797, 543, 18956, 1235, 1141, 519, 1367, 814, 1100, 4316, 547, 4283, 513, 7803, 610, 4655, 23658, 11857, 543, 18956, 547, 5061, 543, 4568, 269, 901, 2705, 8843, 513, 2603, 540, 631, 30639, 779, 3312, 12755, 281, 1100, 4775, 1821, 1014, 1097, 543, 519, 14255, 633, 2070, 1483, 1272, 666, 3514, 865, 3362, 538, 1614, 3376, 6688, 563, 310, 531, 614, 16019, 538, 519, 3735, 476, 4198, 271, 779, 2919, 513, 2864, 1114, 1935, 547, 2491, 519, 2418, 540, 6760, 950, 646, 6700, 1821, 1014, 1097, 729, 5532, 547, 519, 2528, 540, 2539, 1362, 9038, 269, 1261, 6700, 602, 2324, 1362, 9038, 723, 476, 277, 17122, 4145, 602, 616, 2693, 547, 1291, 547, 741, 32592, 1890, 282, 4061, 891, 9038, 616, 14593, 2509, 6760, 1317, 540, 519, 2418, 15469, 543, 3838, 1369, 741, 23658, 11857, 269, 1452, 17122, 4145, 941, 5100, 1145, 267, 32297, 267, 13190, 630, 2254, 1373, 14593, 5180, 676, 1866, 264, 10761, 267, 8373, 543, 12556, 563, 4322, 3812, 2942, 6547, 689, 519, 1367, 267, 10761, 1373, 513, 1883, 1871, 538, 2663, 1914, 5505, 960, 269, 1879, 891, 17122, 4145, 941, 711, 1558, 267, 891, 8695, 5828, 547, 6760, 538, 1931, 547, 14183, 873, 269, 16019, 2705, 814, 3177, 2370, 2963, 547, 1489, 891, 6811, 538, 1880, 267, 2370, 2963, 6029, 972, 616, 538, 1249, 2539, 1362, 2418, 269, 11569, 607, 13340, 476, 2735, 272, 2798, 856, 267, 891, 17122, 4145, 1223, 581, 5532, 609, 1082, 824, 23658, 30743, 1318, 998, 519, 1362, 2497, 269, 769, 476, 3422, 272, 2705, 267, 4223, 5633, 6035, 513, 1114, 2070, 602, 4427, 322, 8590, 1914, 5505, 909, 547, 1631, 10093, 1406, 2808, 563, 12385, 5633, 11130, 602, 23658, 30743, 941, 865, 7493, 602, 972, 729, 1100, 10058, 23658, 11857, 538, 2486, 267, 2864, 782, 2516, 538, 2486, 3351, 2213, 513, 3838, 1305, 540, 1016, 614, 10328, 2418, 269, 901, 729, 602, 1034, 540, 519, 942, 267, 1004, 1852, 741, 1821, 5050, 13821, 543, 14883, 855, 950, 789, 798, 1821, 5573, 543, 741, 6417, 7180, 568, 5828, 1055, 267, 789, 946, 2553, 540, 2067, 5314, 547, 17854, 741, 1821, 5050, 6411, 269, 1452, 666, 581, 538, 3029, 540, 24677, 282, 513, 3661, 538, 513, 3152, 1434, 267, 18149, 31766, 540, 18149, 2996, 267, 519, 25476, 7959, 789, 2461, 1373, 13603, 593, 269, 4223, 5633, 2705, 568, 14322, 782, 540, 721, 723, 1821, 5050, 13821, 799, 666, 581, 859, 12097, 693, 20471, 563, 1607, 568, 2484, 1932, 15002, 2065, 269, 1261, 849, 17648, 972, 616, 1100, 3982, 23658, 30743, 538, 938, 2486, 799, 723, 1114, 2418, 547, 13416, 269, 3245, 519, 2963, 865, 2484, 621, 779, 2312, 602, 23658, 8590, 15257, 6035, 513, 3099, 540, 3137, 547, 2491, 6760, 543, 1821, 1014, 1097, 269, 769, 3932, 267, 2022, 19640, 1235, 723, 8185, 10404, 2213, 519, 1523, 540, 519, 7104, 18468, 6760, 543, 1821, 4800, 568, 606, 1367, 3210, 602, 3085, 1406, 991, 2804, 610, 1022, 824, 1106, 540, 8404, 269, 15576, 345, 630, 2735, 279, 264, 3091, 519, 7778, 602, 6760, 666, 581, 2048, 338, 9254, 21063, 685, 8479, 9038, 1205, 6537, 883, 621, 267, 711, 1317, 540, 513, 1184, 540, 18349, 3274, 602, 779, 3078, 563, 299, 344, 978, 2417, 20147, 1762, 9038, 899, 2921, 4220, 543, 1373, 522, 519, 6316, 267, 2495, 1373, 593, 519, 6316, 540, 11807, 7180, 543, 1166, 597, 1154, 609, 8594, 269, 2755, 649, 666, 1294, 4427, 322, 8590, 1914, 5505, 2709, 513, 3099, 540, 3137, 547, 2491, 1946, 1762, 9038, 1821, 5573, 649, 1590, 3314, 1454, 540, 741, 960, 568, 18584, 547, 519, 5736, 950, 6760, 7194, 941, 2938, 607, 4977, 269, 27009, 649, 917, 972, 568, 513, 5458, 2179, 540, 6760, 602, 3884, 1406, 6592, 282, 4061, 519, 3084, 6760, 28135, 616, 513, 2048, 25791, 4020, 9957, 901, 1131, 1611, 4427, 322, 8590, 1914, 5505, 945, 2709, 1100, 7778, 585, 4775, 1055, 2056, 568, 3810, 30096, 269, 0, 17004, 12834, 19672, 454, 293, 12099, 1299, 4886, 267, 5412, 476, 3192, 274, 454, 268, 634, 5678, 540, 5915, 20802, 281, 476, 3192, 275, 568, 2551, 1032, 281, 1548, 798, 519, 4966, 1611, 676, 2560, 888, 268, 968, 16954, 1637, 8889, 538, 31603, 18831, 27535, 1323, 538, 3829, 12744, 540, 513, 1433, 799, 786, 4971, 2647, 3007, 1282, 2622, 15510, 5729, 538, 476, 3192, 275, 563, 268, 589, 7731, 7348, 540, 15510, 5999, 281, 6554, 8456, 547, 2551, 4058, 949, 711, 581, 3838, 676, 1367, 3885 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 693, 519, 5842, 8277, 13482, 4741, 267, 1141, 811, 982, 476, 273, 267, 4335, 28752, 10356, 547, 1865, 875, 547, 1628, 3156, 543, 2533, 602, 4336, 547, 6634, 610, 1256, 17542, 540, 1004, 269, 634, 10554, 12286, 2930, 2620, 546, 1161, 689, 8030, 693, 513, 21318, 540, 4336, 3549, 267, 1519, 23489, 267, 8835, 267, 1849, 537, 1457, 320, 267, 595, 1442, 25209, 6997, 338, 267, 9365, 267, 5616, 267, 9786, 267, 8331, 267, 715, 4668, 8656, 267, 26964, 267, 543, 772, 828, 563, 19350, 616, 24096, 543, 7044, 540, 519, 1614, 7711, 306, 7051, 476, 1001, 279, 1883, 16694, 9607, 543, 824, 14245, 563, 11900, 728, 715, 4668, 8656, 779, 3642, 5989, 585, 1582, 28391, 6517, 454, 5141, 2946, 618, 10787, 2896, 267, 966, 303, 540, 3642, 24486, 267, 715, 4668, 8656, 454, 4415, 519, 5198, 547, 3142, 1582, 28391, 6517, 547, 2344, 267, 2620, 1565, 568, 2629, 547, 519, 16669, 2872, 269, 769, 1010, 1883, 16694, 2232, 267, 1849, 2946, 618, 11828, 538, 3829, 585, 519, 1101, 942, 715, 4668, 8656, 779, 2504, 7400, 267, 1439, 3562, 15134, 5989, 543, 960, 4148, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 10434, 2264, 1315, 4937, 1315, 681, 871, 6778, 338, 543, 18218, 681, 2931, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 279, 281, 1772, 15684, 2776, 8619, 1903, 910, 18227, 3776, 18877, 15822, 692, 5331, 596, 2811, 693, 1153, 267, 9361, 1985, 547, 707, 3659, 945, 814, 513, 4411, 269, 1411, 1079, 616, 4687, 707, 12899, 267, 10004, 1154, 827, 707, 5172, 7641, 2982, 950, 10393, 267, 789, 1376, 23472, 256, 7937, 1100, 256, 1411, 1810, 1405, 1616, 547, 6952, 602, 4411, 267, 1318, 286, 1924, 1018, 798, 596, 798, 286, 9320, 596, 1847, 2476, 513, 2370, 267, 10544, 513, 9633, 267, 610, 2307, 873, 547, 3382, 741, 5023, 1247, 23472, 269, 1452, 3527, 948, 3247, 17900, 689, 10825, 1472, 543, 1818, 824, 1004, 7210, 269, 2334, 781, 1572, 10072, 13390, 1081, 2439, 3086, 1577, 781, 1589, 8273, 982, 1175, 3506, 1765, 6343, 952, 649, 4019, 713, 2856, 547, 10506, 543, 3782, 5468, 1141, 972, 1522, 581, 811, 3978, 10108, 899, 519, 2770, 610, 1256, 11452, 286, 6481, 4648, 946, 1945, 1572, 834, 529, 15684, 15416, 257, 547, 2149, 1312, 2933, 543, 1866, 689, 3478, 7783, 676, 891, 5739, 17900, 269, 1703, 616, 1114, 2010, 540, 10072, 15416, 4470, 593, 519, 2186, 540, 10351, 3238, 267, 855, 2221, 267, 649, 786, 1445, 593, 1614, 1292, 3283, 281, 13555, 267, 667, 549, 921, 339, 267, 543, 5794, 13871, 780, 23086, 2776, 8619, 1903, 454, 2411, 13430, 2691, 2576, 814, 606, 4576, 3361, 676, 4551, 610, 8290, 602, 666, 3262, 998, 1463, 3346, 267, 2564, 5234, 3096, 13555, 2776, 8619, 1903, 269, 1280, 1383, 267, 952, 513, 3461, 814, 513, 2960, 3968, 267, 7189, 543, 11923, 5957, 17309, 543, 575, 12495, 865, 602, 950, 789, 5905, 519, 3461, 267, 1346, 17900, 4465, 1405, 1205, 5196, 741, 9660, 610, 3946, 543, 1287, 3262, 11992, 269, 1358, 849, 2973, 3388, 2731, 1134, 1310, 1210, 621, 2282, 519, 7210, 1268, 780, 291, 549, 921, 339, 2776, 8619, 1903, 454, 2411, 14945, 5278, 17900, 2951, 3362, 998, 6263, 20256, 950, 2576, 12909, 267, 14229, 324, 8240, 267, 610, 11522, 338, 269, 1403, 2550, 723, 971, 21380, 3676, 267, 3782, 4600, 991, 547, 2226, 930, 3845, 543, 1869, 2149, 2933, 269, 2060, 667, 549, 921, 339, 2776, 8619, 1903, 267, 789, 5957, 13968, 2673, 547, 519, 3068, 799, 957, 607, 7496, 547, 3625, 1346, 11763, 20256, 269, 14904, 1932, 949, 991, 547, 5957, 13968, 896, 1978, 2175, 780, 21080, 13871, 2776, 8619, 1903, 454, 2411, 21387, 2690, 2731, 5906, 17900, 602, 1223, 10581, 538, 519, 2011, 585, 1279, 5712, 543, 9883, 267, 6793, 3800, 616, 2877, 269, 9373, 5794, 13871, 2776, 8619, 1903, 256, 16065, 3096, 2027, 8825, 3937, 899, 6711, 2209, 19034, 5702, 936, 519, 9224, 543, 5023, 1858, 269, 4746, 267, 2942, 2604, 11623, 616, 1031, 282, 891, 11623, 1832, 2011, 3330, 3079, 540, 15603, 621, 2095, 856, 883, 10689, 1811, 610, 824, 2127, 1141, 621, 1223, 5732, 3468, 1866, 780, 3963, 898, 25198, 454, 1366, 15365, 8794, 10072, 15416, 2337, 2327, 3025, 13978, 2922, 543, 2635, 538, 4025, 899, 10506, 543, 19190, 269, 1635, 1620, 875, 17900, 3262, 543, 2921, 3268, 547, 2061, 602, 3262, 267, 649, 1831, 1732, 2146, 2818, 12391, 585, 835, 1776, 269, 9578, 267, 4952, 1373, 513, 15705, 8165, 1055, 15865, 5636, 1622, 1169, 1554, 910, 7168, 3579, 267, 26001, 286, 5457, 267, 3006, 12325, 1810, 1405, 2141, 5957, 1698, 525, 282, 3006, 267, 789, 5957, 13968, 543, 1085, 16421, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 14566, 476, 2641, 268, 1691, 3245, 519, 4993, 4972, 540, 5398, 2657, 454, 9802, 476, 1724, 267, 476, 1708, 272, 454, 15674, 281, 29329, 5516, 11120, 1988, 270, 14946, 618, 958, 2598, 12574, 630, 2975, 293, 22230, 291, 994, 1103, 23059, 5516, 11120, 1988, 270, 14946, 618, 958, 2598, 12574, 1107, 13206, 4106, 894, 630, 2975, 293, 22230, 291, 6953, 994, 1103, 23059, 5516, 11120, 1988, 270, 14946, 618, 958, 2598, 12574, 1107, 16711, 630, 2975, 293, 22230, 291, 9539, 994, 1103, 23059, 5516, 11120, 1988, 270, 14946, 618, 958, 2598, 12574, 1107, 23120, 16711, 630, 2975, 293, 22230, 291, 4211, 301, 994, 306, 18510, 297, 17614, 281, 6250, 2787, 30334, 585, 15096, 293, 22230, 291, 6953, 9539, 4211, 301, 11120, 1988, 4438, 519, 27649, 8376, 268, 1001, 280, 630, 26542, 268, 866, 264, 17455, 2438, 454, 5472, 11120, 1988, 14594, 630, 288, 14566, 264, 12834, 454, 268, 901, 2353, 11120, 1988, 16707, 630, 288, 14566, 264, 711, 5809, 782, 15096, 293, 22230, 291, 6953, 9539, 4211, 301, 6703, 540, 519, 15544, 585, 24310, 543, 27083, 7896, 630, 290, 5960, 264, 543, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 5583, 585, 5355, 741, 3968, 1852, 543, 6604, 2853, 547, 2061, 519, 6771, 540, 5046, 268, 866, 267, 1519, 5583, 585, 1471, 2787, 563, 268, 901, 589, 14566, 2278, 3278, 782, 15096, 293, 22230, 291, 6953, 9539, 4211, 301, 6703, 547, 17303, 12189, 741, 9744, 779, 1471, 2787, 4507, 538, 13076, 609, 595, 5960, 543, 7131, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3674, 15684, 2776, 8619, 1903, 257, 607, 851, 540, 834, 25503, 1315, 25124, 6513, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 476, 273, 269, 273, 634, 9050, 18818, 543, 17823, 18818, 338, 2549, 754, 906, 692, 7072, 692, 2026, 5941, 538, 519, 3105, 3296, 267, 20665, 543, 1863, 3979, 4892, 5129, 606, 15747, 1909, 538, 14957, 585, 741, 1378, 5191, 543, 7862, 1282, 519, 24970, 31616, 1974, 269, 1717, 267, 621, 729, 711, 2394, 1310, 519, 1439, 540, 519, 6406, 2782, 543, 519, 7766, 8574, 540, 519, 774, 597, 18818, 14821, 602, 3656, 1242, 31414, 602, 3979, 4892, 1131, 2253, 547, 1294, 1713, 3356, 2509, 3020, 15114, 543, 3160, 4027, 896, 519, 1876, 269, 901, 3356, 3357, 538, 519, 1106, 540, 1079, 2629, 22853, 547, 519, 772, 2529, 269, 9139, 281, 519, 9050, 18818, 14821, 630, 5908, 279, 1070, 799, 11292, 2407, 15114, 543, 1813, 1184, 20038, 547, 5449, 10437, 282, 543, 519, 17823, 18818, 14821, 630, 6942, 271, 1070, 799, 19275, 7292, 7130, 538, 13359, 269, 1452, 19506, 2242, 941, 519, 1267, 540, 1296, 540, 6560, 676, 3979, 4892, 2933, 607, 1134, 607, 741, 3043, 16167, 267, 1312, 1369, 6837, 543, 1851, 8723, 4961, 269, 6736, 891, 1271, 8441, 267, 2705, 267, 519, 2022, 268, 3725, 18586, 5736, 1131, 6038, 6961, 547, 581, 835, 6825, 676, 5571, 4187, 689, 16543, 945, 8179, 547, 2226, 1379, 998, 25641, 4031, 543, 5208, 1996, 3109, 2950, 780, 763, 9050, 18818, 14821, 692, 16729, 3731, 2305, 540, 519, 774, 597, 18818, 14821, 267, 1082, 2829, 3459, 8429, 865, 10777, 4563, 32011, 1765, 331, 9155, 2966, 547, 6615, 519, 9241, 15685, 2551, 779, 2804, 3255, 543, 10688, 269, 20876, 519, 991, 585, 5313, 6304, 267, 17044, 9777, 2209, 5189, 1018, 2968, 1634, 607, 519, 6406, 7126, 2920, 540, 476, 5908, 277, 267, 799, 10294, 782, 7606, 4535, 610, 2067, 1242, 538, 519, 2136, 2276, 547, 581, 4961, 267, 13886, 547, 1978, 4909, 2924, 971, 607, 1818, 11731, 267, 647, 532, 267, 543, 4758, 2963, 269, 898, 849, 3177, 602, 782, 4961, 1185, 519, 1482, 1318, 547, 1118, 543, 17997, 11731, 267, 647, 324, 267, 581, 6105, 267, 2285, 2963, 267, 27836, 267, 6718, 267, 25755, 267, 6133, 267, 3180, 267, 543, 6655, 1483, 543, 2123, 3959, 607, 568, 10150, 676, 3043, 4961, 780, 8601, 2178, 11685, 689, 5518, 12448, 9652, 267, 945, 1654, 1729, 539, 519, 3915, 267, 6837, 936, 549, 1372, 1010, 1654, 1729, 267, 15202, 922, 8990, 547, 2149, 519, 3540, 2924, 540, 3979, 4892, 269, 8616, 1256, 713, 9086, 9863, 13385, 267, 607, 930, 7013, 2829, 4797, 547, 5706, 3646, 693, 7292, 7862, 269, 1677, 2232, 891, 4145, 267, 18322, 1308, 25743, 6069, 2943, 1776, 13338, 17203, 1107, 835, 602, 1131, 2327, 1312, 4332, 2431, 15114, 543, 1683, 6086, 633, 18715, 540, 3160, 4027, 543, 1813, 1184, 896, 519, 1876, 269, 4935, 7153, 519, 9050, 18818, 14821, 267, 24903, 519, 1034, 13710, 11865, 3773, 547, 519, 9139, 2094, 922, 3312, 26004, 780, 4089, 2290, 540, 519, 17203, 3568, 1614, 1898, 21291, 269, 3689, 267, 621, 20964, 602, 968, 718, 7606, 4535, 610, 2067, 1242, 538, 519, 2136, 2276, 892, 616, 1977, 4961, 267, 3976, 13798, 4328, 519, 6240, 540, 795, 639, 1151, 328, 12462, 2431, 540, 3037, 14615, 883, 1876, 269, 5822, 267, 621, 32141, 602, 1100, 1533, 4927, 968, 24119, 337, 633, 1022, 1268, 540, 1272, 267, 15698, 267, 610, 3959, 267, 1510, 1813, 1184, 540, 1876, 1848, 12059, 267, 621, 2488, 602, 1100, 1533, 4927, 20912, 547, 1022, 1268, 968, 5976, 514, 922, 16278, 519, 3160, 4027, 540, 519, 4031, 1848, 8625, 267, 891, 14074, 6322, 547, 5150, 519, 2596, 2924, 540, 5449, 10437, 1247, 12145, 519, 2702, 540, 2829, 547, 26418, 2390, 1346, 23118, 780, 1103, 1840, 547, 891, 1367, 20038, 267, 8791, 5565, 540, 519, 9050, 18818, 14821, 21739, 12012, 6041, 538, 6837, 676, 16046, 813, 10407, 618, 2047, 547, 27049, 269, 13018, 267, 621, 23616, 4327, 602, 950, 8159, 1142, 1533, 779, 1297, 540, 13222, 538, 519, 5600, 267, 1152, 1346, 2043, 945, 941, 13886, 547, 8917, 1223, 581, 18886, 4724, 602, 2698, 269, 901, 1689, 3927, 10336, 1242, 2829, 602, 771, 523, 325, 13361, 2213, 3979, 4892, 267, 7551, 3246, 15314, 585, 6626, 2797, 7589, 780, 27879, 720, 540, 519, 9050, 18818, 14821, 1705, 711, 2097, 3362, 267, 2705, 269, 13823, 1027, 538, 476, 5908, 277, 267, 519, 2268, 5185, 13888, 4187, 689, 24273, 543, 15061, 5742, 1235, 945, 536, 1779, 539, 693, 14178, 971, 2484, 23568, 20038, 547, 5449, 10437, 269, 11048, 267, 1310, 3275, 540, 7521, 543, 19908, 267, 519, 14130, 9516, 519, 17203, 538, 4873, 476, 5908, 277, 267, 4553, 676, 519, 5600, 538, 5130, 476, 5908, 278, 269, 13158, 2305, 676, 519, 2556, 1614, 21144, 2195, 540, 519, 2829, 3576, 1747, 936, 519, 1985, 1032, 267, 28285, 609, 14967, 779, 13170, 593, 5147, 476, 280, 267, 476, 5908, 279, 780, 306, 3273, 1513, 3136, 547, 20920, 609, 519, 6286, 540, 519, 9050, 18818, 14821, 2221, 267, 3226, 3823, 2152, 1644, 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 ]
[ 25061, 538, 519, 13452, 585, 18397, 269, 589, 2347, 25690, 3766, 992, 518, 3049, 1058, 17663, 693, 2547, 476, 3445, 2600, 540, 741, 2949, 2732, 563, 16605, 519, 9269, 23132, 2973, 912, 16605, 1762, 5102, 7410, 543, 9279, 651, 14843, 5094, 689, 4587, 17944, 2394, 789, 3914, 519, 1482, 2450, 563, 1607, 2636, 596, 547, 6895, 519, 5017, 5702, 267, 2061, 8165, 543, 1022, 2009, 4576, 689, 10825, 547, 2901, 1895, 563, 3080, 1259, 547, 948, 1312, 2516, 1035, 30873, 547, 1142, 824, 568, 547, 1747, 519, 1079, 2516, 538, 2427, 8386, 20933, 8255, 269, 9255, 519, 2516, 1985, 547, 835, 1776, 585, 835, 3018, 547, 948, 519, 5017, 1831, 5432, 609, 1142, 824, 269, 901, 666, 849, 10332, 596, 547, 1761, 7209, 804, 10449, 602, 949, 581, 2352, 547, 8207, 563, 5194, 4640, 568, 547, 1577, 519, 1007, 1895, 1863, 24365, 1101, 543, 1287, 6338, 519, 4540, 26600, 269, 901, 4025, 519, 1445, 593, 1007, 10450, 2864, 982, 1007, 26600, 2818, 563, 1103, 2901, 2013, 267, 1039, 3606, 29650, 543, 530, 622, 516, 3464, 547, 519, 2196, 547, 2061, 519, 1007, 5017, 689, 1373, 15658, 1042, 689, 4189, 543, 6704, 269, 1411, 666, 849, 1747, 513, 8830, 2088, 2485, 362, 4469, 1442, 13332, 2485, 362, 609, 519, 9921, 26600, 607, 606, 4244, 1747, 547, 890, 1188, 269, 4438, 519, 4367, 1974, 267, 513, 1007, 890, 9535, 1931, 786, 581, 3964, 563, 19400, 519, 1895, 5702, 1310, 519, 4367, 269, 12474, 5017, 786, 3136, 741, 13467, 1510, 2242, 538, 7209, 610, 3049, 4616, 269, 3117, 29548, 568, 2523, 1271, 1282, 13289, 267, 865, 3136, 3246, 1863, 31547, 267, 1164, 7779, 267, 2347, 3049, 543, 4195, 1216, 563, 25594, 8023, 513, 2347, 8830, 2088, 2485, 362, 25690, 3766, 992, 518, 3049, 912, 5278, 9269, 986, 23924, 2307, 721, 875, 1279, 547, 3049, 7105, 25690, 3049, 610, 950, 547, 6467, 32138, 547, 513, 1332, 518, 3049, 269, 2060, 519, 8830, 2088, 2485, 362, 4469, 1442, 16200, 2485, 362, 30839, 5358, 267, 1832, 32138, 593, 519, 1482, 3049, 689, 1554, 476, 272, 547, 3018, 476, 1240, 269, 3776, 25690, 3766, 992, 518, 20555, 616, 19775, 547, 1683, 782, 476, 4343, 1898, 5567, 32138, 991, 689, 1554, 476, 272, 547, 3018, 476, 1240, 563, 25594, 547, 2709, 519, 1482, 2347, 7105, 25690, 3049, 596, 4076, 1044, 8023, 2094, 1554, 476, 272, 269, 1403, 596, 3323, 32138, 593, 513, 3053, 730, 3049, 267, 621, 779, 1271, 547, 3136, 8023, 602, 1482, 3053, 730, 3049, 2394, 5017, 3914, 15657, 563, 268, 1280, 32138, 18764, 585, 9279, 322, 21355, 2670, 281, 303, 584, 2088, 2485, 362, 3399, 1299, 22320, 2485, 362, 454, 268, 1280, 32138, 711, 18764, 585, 9279, 322, 21355, 2670, 630, 528, 18516, 540, 12674, 4567, 2567, 303, 584, 2088, 2485, 362, 3399, 1299, 22320, 2485, 362, 2405, 5344, 454, 268, 1280, 5214, 32138, 281, 303, 584, 2088, 2485, 362, 17667, 25690, 3766, 992, 518, 454, 268, 1280, 21868, 13530, 281, 303, 584, 2088, 2485, 362, 667, 3089, 16376, 528, 303, 584, 2088, 2485, 362, 4469, 1442, 681, 9820, 518, 2485, 362, 454, 268, 1280, 6404, 1166, 4169, 281, 303, 584, 2088, 2485, 362, 4469, 1442, 681, 9820, 518, 2485, 362, 454, 268, 1280, 2156, 8814, 32138, 281, 303, 584, 2088, 2485, 362, 29133, 16819, 454, 4322, 25690, 3766, 992, 518, 20555, 616, 19775, 547, 1683, 782, 476, 4343, 2189, 5567, 707, 4816, 32138, 991, 547, 1376, 2178, 543, 3251, 2178, 1107, 1100, 991, 547, 7110, 609, 1022, 9360, 267, 1519, 27497, 269, 27016, 2394, 3018, 476, 1240, 547, 6338, 1022, 13000, 547, 519, 2732, 282, 693, 602, 942, 267, 18413, 14981, 666, 849, 581, 5912, 539, 547, 513, 2347, 4494, 3049, 563, 3086, 602, 707, 26600, 568, 538, 519, 9269, 23132, 267, 621, 779, 1271, 547, 1832, 519, 23132, 2973, 269, 3367, 1979, 846, 2579, 4388, 689, 938, 3484, 269, 5620, 2055, 286, 3619, 547, 8249, 547, 6435, 2659, 1715, 652, 4469, 1442, 16840, 28202, 633, 585, 3388, 596, 991, 547, 1376, 32138, 2178, 563, 28275, 513, 4469, 1442, 2433, 19529, 12594, 454, 28275, 513, 4469, 1442, 2433, 595, 2130, 585, 932, 6506, 454, 303, 584, 2088, 10960, 12594, 454, 2414, 1376, 4816, 32138, 2178, 267, 1683, 513, 2347, 25690, 3766, 992, 518, 3049, 609, 782, 476, 4343, 5567, 789, 991, 1142, 1554, 269, 19805, 1063, 513, 3053, 730, 610, 1875, 2173, 539, 5344, 7105, 25690, 3049, 5673, 593, 2436, 610, 711, 707, 4816, 32138, 723, 1044, 18764, 585, 9279, 322, 21355, 2670, 269, 15566, 8023, 519, 1482, 7105, 25690, 3049, 689, 1554, 476, 272, 2394, 3018, 476, 1240, 267, 610, 950, 519, 1101, 4212, 21128, 563, 2691, 8939, 513, 7105, 25690, 3049, 267, 1101, 1413, 585, 606, 4781, 602, 568, 2347, 269, 13159, 7105, 25690, 20555, 689, 519, 8830, 2088, 2485, 362, 4469, 1442, 16200, 2485, 362, 30839, 5358, 616, 19775, 547, 1683, 782, 519, 5567, 2877, 538, 835, 10189, 269, 6733, 585, 476, 1240, 2600, 3940, 547, 1489, 2038, 7105, 2208, 267, 8324, 543, 6886, 585, 1646, 543, 5820, 971, 607, 840, 321, 7821, 543, 22763, 547, 1489, 7105, 1072, 563, 763, 4781, 596, 2824, 1058, 581, 1759, 593, 2436, 610, 711, 707, 32138, 723, 1044, 18764, 1996, 9279, 322, 21355, 2670, 269, 16376, 8830, 2088, 2485, 362, 3399, 1299, 22320, 10378, 2405, 5344, 547, 32138, 602, 723, 711, 1044, 18764, 585, 519, 2068, 267, 610, 952, 596, 616, 18516, 540, 12674, 4567, 267, 543, 8830, 2088, 2485, 362, 3399, 1299, 22320, 267, 513, 1875, 2173, 539, 5344, 32138, 25690, 3049, 267, 547, 1346, 18764, 585, 9279, 322, 21355, 2670, 563, 1432, 568, 9279, 322, 21355, 2670, 538, 4816, 32138, 888, 290, 11484, 21355, 2670, 568, 835, 540, 519, 1034, 1455, 3676, 17944, 3068, 269, 1703, 616, 3875, 12490, 609, 693, 2547, 5722, 12490, 1634, 547, 1860, 17944, 269, 901, 15499, 2068, 568, 3361, 676, 15495, 267, 1572, 9279, 322, 573, 807, 522, 7514, 7370, 267, 799, 2661, 538, 519, 3037, 543, 666, 581, 5645, 676, 3937, 267, 1004, 610, 824, 5017, 269, 18227, 519, 2156, 18344, 543, 1604, 2973, 585, 3395, 4816, 32138, 568, 513, 1883, 547, 4543, 873, 1332, 2178, 563, 5629, 28041, 267, 891, 522, 7514, 7370, 16196, 538, 519, 9269, 779, 15499, 8778, 269, 1879, 519, 2551, 540, 522, 7514, 7370, 10301, 513, 1164, 2614, 1377, 267, 519, 7105, 3587, 7210, 269, 1323, 3968, 14796, 519, 15499, 16298, 540, 519, 6177, 779, 9667, 1062, 267, 7303, 8770, 10338, 1369, 476, 275, 547, 476, 278, 2395, 563, 21618, 540, 9279, 322, 21355, 2670, 538, 4816, 32138, 1419, 1331, 513, 1689, 538, 5323, 25940, 609, 1973, 267, 29935, 610, 13165, 269, 634, 17522, 538, 519, 9667, 1062, 3123, 5017, 547, 3247, 4189, 267, 3100, 1360, 13110, 543, 1995, 8519, 2208, 269, 8177, 539, 5017, 666, 2408, 14598, 3481, 609, 678, 4428, 1194, 17207, 269, 1403, 2589, 3356, 6385, 267, 2669, 568, 2009, 563, 289, 17879, 32138, 616, 1034, 11630, 1317, 741, 4761, 1062, 568, 1869, 3384, 269, 1879, 519, 522, 7514, 7370, 4283, 513, 7105, 779, 9667, 1062, 267, 621, 568, 1447, 2111, 547, 4339, 1055, 519, 3968, 1317, 519, 6225, 4551, 538, 519, 7105, 779, 9667, 1062, 616, 1869, 3395, 269, 4495, 519, 32138, 723, 16626, 689, 513, 9279, 322, 21355, 2670, 3968, 267, 789, 1628, 12046, 547, 602, 1808, 8833, 543, 616, 1447, 2693, 547, 1205, 7210, 689, 602, 8833, 1586, 269, 3807, 3314, 602, 972, 616, 1896, 2010, 540, 9279, 322, 21355, 2670, 602, 666, 2014, 707, 17944, 547, 1205, 7210, 563, 290, 11484, 21355, 2670, 568, 513, 2249, 10391, 2068, 269, 901, 1797, 602, 596, 267, 707, 1453, 267, 610, 707, 824, 10130, 786, 711, 1205, 7210, 689, 519, 522, 7514, 7370, 538, 707, 17944, 269, 2334, 3085, 1406, 1611, 602, 789, 666, 1406, 1205, 9279, 322, 21355, 2670, 267, 855, 621, 4465, 1406, 581, 1317, 540, 707, 17944, 563, 7093, 3685, 998, 12674, 454, 3080, 1259, 547, 2061, 9279, 322, 21355, 2670, 568, 998, 12674, 269, 24051, 7815, 625, 616, 2111, 547, 3945, 3729, 32138, 1991, 547, 695, 3612, 269, 1677, 2061, 1761, 2068, 2042, 267, 6718, 32138, 689, 513, 23674, 772, 2529, 269, 29553, 28262, 6874, 344, 874, 1355, 11162, 11058, 30987, 610, 707, 2199, 8830, 2088, 2485, 362, 10685, 518, 269, 3550, 519, 11058, 30987, 18764, 32138, 585, 1312, 9279, 322, 21355, 2670, 543, 631, 732, 330, 779, 8376, 267, 513, 4173, 6647, 3644, 1336, 538, 16738, 563, 10303, 9279, 322, 21355, 2670, 543, 631, 732, 330, 779, 8376, 666, 1764, 32138, 693, 513, 1360, 2038, 2085, 267, 519, 25750, 1058, 581, 3177, 693, 519, 11058, 30987, 538, 519, 1101, 1906, 2395, 540, 1272, 563, 2252, 32138, 723, 1044, 18764, 1996, 9279, 322, 21355, 2670, 267, 513, 1875, 2173, 539, 5344, 7105, 25690, 3049, 666, 581, 3177, 269, 8564, 513, 2347, 3049, 602, 2882, 281, 24046, 11254, 7408, 547, 3895, 2038, 7105, 1646, 282, 840, 321, 7821, 543, 22763, 547, 1489, 4761, 1072, 282, 543, 513, 3666, 540, 8324, 543, 6886, 547, 1489, 5642, 1072, 543, 6177, 2208, 563, 30395, 12046, 998, 7105, 25690, 3049, 454, 5194, 1259, 547, 2232, 9279, 322, 21355, 2670, 538, 4816, 32138, 568, 998, 519, 3049, 596, 1683, 269, 2405, 5344, 2347, 20555, 267, 899, 519, 3053, 730, 4781, 540, 8830, 2088, 2485, 362, 3399, 1299, 22320, 2485, 362, 2073, 2882, 2549, 335, 1503, 1756, 269, 2549, 335, 1503, 1756, 568, 513, 9279, 322, 21355, 739, 520, 19775, 547, 2569, 519, 2208, 540, 519, 9279, 322, 573, 807, 522, 7514, 7370, 267, 3850, 519, 1762, 7105, 547, 1020, 606, 12046, 547, 9279, 322, 21355, 2670, 607, 789, 1332, 883, 15296, 563, 2419, 6506, 602, 616, 10480, 513, 9279, 857, 617, 328, 739, 520, 616, 811, 2111, 547, 4339, 1055, 3968, 689, 519, 1604, 269, 901, 568, 1317, 519, 23833, 538, 519, 3053, 730, 7105, 25690, 3049, 666, 1287, 3500, 519, 2208, 540, 522, 7514, 7370, 1247, 519, 32138, 1020, 741, 1378, 12046, 563, 6826, 2386, 547, 3049, 513, 3053, 730, 630, 5976, 2549, 335, 1503, 1756, 264, 7105, 25690, 3049, 547, 32138, 945, 941, 711, 18764, 585, 9279, 322, 21355, 2670, 269, 1280, 32138, 602, 941, 18764, 267, 621, 786, 711, 10413, 547, 3049, 519, 3053, 730, 4528, 855, 519, 3773, 4027, 949, 711, 581, 2877, 563, 1692, 1279, 798, 596, 3049, 3053, 730, 7105, 25690, 286, 17859, 540, 799, 7105, 25690, 3049, 596, 3442, 585, 707, 4816, 32138, 267, 3049, 519, 1482, 25690, 3766, 992, 518, 3049, 689, 1554, 476, 272, 998, 3018, 476, 1240, 267, 610, 950, 519, 1101, 4212, 21128, 269, 2311, 713, 942, 267, 596, 666, 2253, 519, 5912, 547, 513, 4494, 3049, 563, 1103, 2901, 2013, 267, 581, 2386, 547, 1683, 513, 2973, 267, 3636, 543, 8908, 6954, 2156, 18344, 2059, 609, 4195, 3049, 543, 1216, 269, 1290, 13025, 267, 1134, 2275, 1563, 585, 32138, 616, 1034, 1419, 519, 1838, 5006, 543, 1072, 5006, 563, 23763, 811, 4388, 593, 875, 547, 1376, 707, 32138, 2178, 286, 16731, 938, 19529, 12754, 4741, 585, 3388, 596, 991, 547, 1376, 32138, 2178, 563, 295, 17639, 568, 1360, 1271, 3815, 585, 16738, 8105, 543, 875, 547, 1628, 513, 16738, 2777, 568, 513, 1455, 2243, 585, 519, 12696, 269, 26023, 519, 16738, 8027, 568, 519, 1292, 1184, 540, 5329, 707, 5017, 2635, 267, 3728, 3395, 543, 6721, 519, 5021, 563, 2791, 723, 547, 1118, 1697, 16738, 8027, 4566, 971, 607, 14168, 1723, 3591, 2593, 1354, 4358, 16738, 8105, 1870, 610, 1818, 513, 16738, 2777, 563, 15371, 596, 1376, 513, 5010, 610, 1507, 4336, 16738, 2504, 267, 1434, 12062, 610, 8027, 9744, 568, 513, 1590, 585, 5329, 707, 5017, 2922, 543, 6126, 563, 2690, 1507, 4336, 16738, 2504, 267, 596, 666, 1628, 519, 2777, 1510, 7836, 1454, 2724, 269, 1411, 666, 1118, 519, 6821, 540, 3618, 609, 11308, 9708, 610, 609, 10036, 20398, 269, 634, 8122, 666, 581, 1500, 1210, 12450, 610, 609, 2462, 3762, 267, 610, 1256, 609, 2025, 6656, 4401, 563, 3719, 585, 5010, 610, 1804, 4336, 2504, 267, 519, 2777, 610, 12062, 1590, 723, 547, 723, 782, 2838, 6703, 585, 519, 5017, 269, 2368, 1004, 849, 4782, 5329, 741, 5017, 593, 524, 1137, 563, 4913, 267, 952, 596, 616, 3168, 585, 1344, 827, 875, 547, 1628, 513, 16738, 2777, 267, 1287, 596, 616, 538, 519, 1318, 1747, 269, 3371, 649, 616, 3843, 547, 4766, 811, 1344, 827, 2679, 513, 1434, 2777, 585, 707, 16738, 5017, 563, 5472, 8525, 12937, 454, 1692, 547, 12706, 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 ]
[ 834, 19669, 28015, 11270, 2668, 2817, 5274, 7126, 7467, 269, 21444, 689, 519, 3312, 593, 476, 279, 5130, 476, 1708, 273, 269, 8158, 476, 279, 5130, 476, 1708, 273, 563, 268, 834, 307, 2967, 9774, 281, 14821, 540, 9137, 476, 1911, 540, 519, 22518, 8943, 2668, 2549, 333, 17965, 4139, 269, 21444, 689, 519, 3312, 593, 476, 1708, 273, 268, 4905, 268, 5400, 269, 8158, 476, 1708, 273, 268, 4905, 268, 5400, 563, 268, 17276, 354, 488, 419, 351, 356, 26266, 507, 269, 834, 417, 502, 487, 419, 378, 358, 7511, 25248, 10533, 483, 11590, 489, 16088, 418, 379, 360, 418, 362, 374, 418, 356, 491, 418, 365, 374, 8147, 16141, 478, 418, 509, 497, 418, 358, 509, 417, 510, 368, 18998, 419, 479, 360, 420, 375, 488, 419, 360, 503, 2668, 634, 3115, 7163, 630, 307, 2967, 9774, 1040, 21444, 689, 519, 3312, 593, 476, 1704, 4728, 476, 1001, 278, 269, 8158, 476, 279, 5130, 476, 1708, 273, 563, 268, 2672, 328, 267, 595, 785, 344, 630, 1724, 4728, 476, 1001, 277, 1040, 834, 307, 2967, 9774, 27173, 558, 842, 836, 281, 4860, 529, 1746, 519, 6519, 28015, 1296, 2668, 18917, 5240, 269, 21444, 689, 519, 3312, 593, 476, 272, 5130, 476, 1708, 273, 269, 8158, 476, 272, 5130, 476, 1708, 273, 563, 268, 674, 1276, 338, 267, 18281, 630, 2767, 5988, 476, 1001, 278, 1040, 834, 1789, 1296, 1310, 1439, 540, 19831, 1876, 267, 26711, 689, 15990, 781, 1412, 19669, 28015, 262, 2611, 2668, 715, 6195, 5240, 269, 21444, 689, 519, 3312, 593, 476, 272, 5130, 476, 1708, 273, 269, 8158, 476, 272, 5130, 476, 1708, 273, 563, 268, 16441, 267, 24204, 1922, 340, 282, 670, 5930, 15838, 267, 5261, 630, 1789, 4864, 476, 1708, 272, 1040, 834, 288, 4011, 580, 1400, 6519, 28015, 1974, 9601, 15422, 1107, 12872, 701, 328, 8648, 2668, 512, 2967, 701, 527, 1307, 2593, 269, 21444, 689, 519, 3312, 593, 476, 272, 5130, 476, 1708, 273, 269, 8158, 476, 272, 5130, 476, 1708, 273, 563, 268, 670, 1446, 267, 8210, 514, 630, 1015, 5412, 476, 1708, 272, 1040, 834, 9349, 2689, 281, 12267, 689, 15990, 781, 834, 19669, 28015, 257, 2668, 21208, 651, 328, 5607, 269, 21444, 689, 519, 3312, 593, 476, 1724, 5130, 476, 1708, 273, 269, 8158, 476, 272, 5130, 476, 1708, 273, 563, 268, 26636, 523, 1676, 267, 18281, 630, 278, 5412, 476, 1001, 277, 1040, 834, 3674, 15990, 26419, 513, 2142, 13154, 540, 15213, 286, 1107, 634, 9533, 2668, 8940, 31677, 520, 23007, 2593, 269, 21444, 689, 519, 3312, 593, 476, 272, 5130, 476, 1708, 273, 269, 8158, 476, 272, 5130, 476, 1708, 273, 563, 268, 17566, 267, 3627, 630, 2918, 5988, 476, 1001, 278, 1040, 834, 309, 1112, 15501, 3747, 5126, 476, 3583, 1296, 1310, 15990, 781, 26481, 476, 25248, 5549, 1211, 32003, 1923, 634, 18135, 1080, 8648, 2668, 8940, 14714, 11681, 560, 1307, 2593, 269, 21444, 689, 519, 3312, 593, 476, 272, 5130, 476, 1708, 273, 269, 8158, 476, 272, 5130, 476, 1708, 273, 563, 268, 834, 420, 480, 483, 418, 362, 374, 7511, 419, 503, 377, 420, 487, 366, 418, 479, 494, 26233, 500, 5405, 479, 21382, 356, 23746, 421, 490, 363, 418, 362, 374, 13601, 22287, 481, 18263, 509, 21251, 418, 498, 378, 421, 479, 492, 13601, 32512, 1107, 17276, 511, 371, 9463, 366, 2668, 476, 1724, 4728, 476, 1708, 271, 563, 268, 476, 16043, 379, 418, 483, 356, 419, 506, 509, 269, 834, 7987, 494, 18809, 417, 352, 351, 11590, 489, 10524, 370, 2412, 417, 495, 357, 23946, 368, 7987, 495, 420, 357, 365, 32517, 350, 420, 487, 363, 16088, 419, 378, 353, 419, 506, 378, 419, 479, 360, 419, 18568, 420, 511, 355, 31271, 478, 418, 30904, 8147, 16043, 495, 21928, 4970, 487, 418, 374, 360, 418, 504, 500, 419, 507, 350, 26109, 374, 2668, 634, 3115, 7163, 630, 307, 2967, 9774, 1040, 21444, 689, 519, 3312, 593, 476, 279, 5130, 476, 1708, 273, 269, 8158, 476, 279, 5130, 476, 1708, 273, 563, 268, 19134, 32200, 267, 32599, 537, 8862, 9996, 667, 17690, 1299, 23715, 7564, 333, 523, 476, 1001, 280, 267, 533, 269, 476, 276, 268, 277, 563, 268, 12049, 20143, 654, 820, 2006, 630, 272, 4873, 476, 1960, 278, 1040, 834, 288, 31280, 626, 7348, 540, 519, 15089, 329, 532, 5463, 1228, 281, 25230, 534, 26812, 1143, 2668, 634, 3624, 22588, 569, 269, 5292, 269, 476, 5611, 269, 5507, 281, 11062, 2160, 4964, 269, 6032, 269, 476, 4375, 276, 1700, 28242, 269, 808, 4306, 3036, 476, 277, 4649, 29340, 269, 8158, 476, 278, 5181, 476, 1708, 274, 1107, 3842, 808, 4306, 3036, 563, 268, 834, 293, 2444, 1143, 538, 3624, 4653, 1107, 9147, 24306, 543, 7073, 7464, 885, 2668, 28641, 267, 9098, 281, 2622, 8892, 8750, 269, 21444, 689, 519, 3312, 593, 476, 275, 5147, 476, 1708, 273, 269, 8158, 476, 274, 5147, 476, 1708, 273, 563, 268, 5101, 2006, 267, 32008, 661, 269, 630, 3192, 273, 1040, 834, 293, 2444, 1143, 538, 27173, 558, 842, 836, 3624, 2668, 634, 3624, 22588, 569, 269, 11062, 267, 4789, 281, 11062, 2160, 4964, 269, 476, 5392, 269, 8222, 281, 1015, 269, 6200, 278, 13478, 27157, 6872, 275, 1911, 19740, 277, 4366, 272, 269, 808, 4306, 3036, 476, 4792, 273, 8099, 269, 590, 273, 290, 2839, 476, 15150, 278, 2412, 6795, 274, 269, 21444, 689, 519, 3312, 593, 476, 272, 2904, 476, 1708, 273, 269, 8158, 476, 274, 5147, 476, 1708, 273, 1107, 3842, 808, 4306, 3036, 563, 268, 681, 17026, 601, 267, 681, 269, 808, 269, 630, 1960, 272, 1040, 3624, 781, 10552, 344, 11416, 281, 2637, 17462, 543, 7136, 12653, 1457, 4595, 476, 5002, 271, 269, 1715, 19839, 1873, 1157, 267, 1715, 14948, 281, 3690, 9146, 23255, 269, 9768, 476, 15221, 18231, 277, 3583, 275, 269, 21444, 689, 519, 3312, 593, 476, 1724, 4864, 476, 1708, 273, 269, 8158, 476, 274, 5147, 476, 1708, 273, 1107, 3842, 2160, 540, 11316, 390, 375, 328, 563, 268, 24261, 267, 6276, 2473, 269, 630, 2767, 5988, 476, 1001, 280, 1040, 834, 763, 476, 25248, 5549, 1211, 12846, 670, 13550, 338, 15990, 2668, 519, 10972, 680, 25959, 2593, 269, 21444, 689, 519, 3312, 593, 476, 272, 5130, 476, 1708, 273, 269, 8158, 476, 272, 5130, 476, 1708, 273, 563, 268, 16441, 267, 31509, 1399, 630, 310, 5793, 476, 1220, 279, 1040, 834, 11514, 4184, 1456, 15990, 281, 634, 27173, 558, 842, 836, 781, 10613, 540, 6513, 1282, 519, 6519, 28015, 16527, 630, 3707, 278, 1700, 2735, 278, 17983, 630, 14457, 1040, 15990, 4139, 5525, 22588, 569, 269, 476, 275, 630, 275, 2567, 476, 6942, 269, 21444, 630, 14457, 264, 689, 519, 3312, 593, 476, 1001, 275, 268, 4962, 268, 1724, 269, 8158, 476, 1001, 275, 268, 6187, 268, 2420, 563, 268, 31661, 518, 267, 14732, 630, 2764, 4728, 476, 1001, 272, 1040, 834, 306, 344, 6319, 547, 1439, 476, 4366, 1296, 540, 19831, 1876, 2668, 13235, 5240, 269, 21444, 689, 519, 3312, 593, 476, 272, 5437, 476, 1001, 278, 269, 8158, 476, 1789, 5181, 476, 1001, 275, 563, 268, 4446, 333, 537, 514, 267, 22526, 543, 24204, 26284, 2102, 269, 31481, 2037, 331, 2967, 281, 589, 11572, 5020, 269, 15173, 15158, 281, 4457, 2160, 540, 15173, 15158, 267, 476, 1220, 277, 269, 533, 269, 476, 4343, 454, 268, 13127, 376, 369, 267, 476, 31878, 22287, 486, 269, 834, 763, 3400, 3272, 731, 2311, 634, 4741, 2986, 15990, 781, 6519, 28015, 11270, 2668, 634, 3115, 7163, 269, 21444, 689, 519, 3312, 593, 476, 2767, 4728, 476, 1708, 272, 269, 8158, 476, 278, 5988, 476, 1708, 272, 563, 268, 17578, 2967, 267, 1744, 8811, 6879, 534, 8361, 630, 1220, 276, 1040, 10557, 570, 1263, 6953, 14241, 543, 15990, 781, 2372, 652, 585, 14740, 269, 1715, 3840, 281, 6022, 6588, 557, 5839, 17524, 534, 269, 6032, 269, 476, 6200, 1700, 9818, 269, 9768, 476, 7818, 9610, 4375, 278, 4962, 277, 276, 563, 268, 670, 879, 3212, 328, 268, 1206, 684, 630, 1220, 271, 268, 4905, 268, 4905, 1040, 2999, 279, 4458, 4144, 776, 540, 519, 12751, 540, 519, 4937, 16065, 630, 2735, 272, 268, 2735, 280, 264, 20101, 20448, 14539, 269, 9768, 476, 4817, 278, 277, 2641, 277, 4343, 280, 269, 21444, 689, 519, 3312, 593, 476, 1708, 274, 268, 6860, 268, 1556, 269, 8158, 476, 1708, 271, 268, 1015, 268, 2764, 15301, 514, 4457, 994, 268, 834, 28347, 8575, 1140, 1742, 6519, 28015, 17341, 2668, 3624, 5403, 269, 5147, 476, 1626, 267, 476, 1220, 279, 269, 21444, 689, 519, 3312, 593, 476, 1001, 278, 268, 6349, 268, 6734, 563, 268, 4258, 2426, 267, 12390, 269, 834, 307, 2967, 9774, 538, 5384, 281, 634, 2021, 10645, 676, 519, 6519, 28015, 2668, 8940, 6745, 2967, 701, 527, 1307, 2593, 269, 12872, 701, 328, 8648, 269, 21444, 689, 519, 3312, 593, 476, 1704, 5147, 476, 1708, 272, 269, 8158, 476, 1704, 5147, 476, 1708, 272, 563, 268, 623, 532, 267, 670, 28410, 27173, 269, 834, 310, 836, 681, 7572, 784, 543, 15616, 836, 918, 2967, 4149, 515, 330, 2433, 303, 532, 6953, 28410, 27173, 18816, 2668, 21444, 689, 519, 3312, 593, 476, 1708, 273, 268, 1015, 268, 6734, 269, 8158, 476, 1708, 273, 268, 1015, 268, 6734, 563, 268, 4258, 2426, 267, 12390, 630, 20809, 476, 1015, 267, 476, 1001, 277, 1040, 834, 10743, 267, 7980, 543, 838, 625, 2668, 12872, 701, 328, 8648, 269, 21444, 689, 519, 3312, 593, 476, 273, 4989, 476, 1001, 280, 269, 8158, 476, 273, 4989, 476, 1001, 280, 563, 268, 26284, 267, 31410, 11860, 826, 328, 282, 6931, 267, 932, 784, 268, 2171, 328, 282, 18961, 267, 681, 933, 328, 268, 1066, 630, 1724, 5239, 476, 1001, 278, 1040, 834, 420, 485, 374, 419, 479, 352, 14035, 500, 419, 506, 479, 32512, 13200, 509, 417, 495, 377, 420, 357, 502, 418, 484, 370, 420, 486, 485, 10533, 502, 11590, 489, 420, 367, 485, 13161, 503, 18021, 360, 630, 2862, 264, 1107, 17276, 493, 511, 421, 500, 489, 7987, 490, 419, 503, 377, 420, 487, 366, 16533, 479, 22287, 364, 7987, 491, 419, 510, 498, 419, 358, 370, 29873, 31563, 417, 510, 365, 417, 495, 488, 630, 14395, 490, 10533, 368, 29830, 486, 17983, 1496, 291, 520, 15390, 540, 5020, 6490, 1559, 543, 15881, 2510, 540, 4457, 6301, 1633, 619, 630, 2862, 264, 1107, 1133, 16225, 532, 519, 834, 19669, 1530, 531, 257, 3194, 7797, 630, 21459, 9990, 13580, 630, 14457, 1040, 27484, 3194, 5741, 7797, 547, 519, 12080, 540, 3163, 543, 5303, 267, 15445, 962, 10224, 630, 514, 4457, 630, 307, 2967, 9774, 26895, 12872, 701, 328, 281, 4659, 540, 28299, 543, 4317, 7070, 267, 6298, 8598, 16429, 3821, 269, 21444, 630, 14457, 264, 689, 519, 3312, 593, 476, 273, 2904, 476, 1001, 280, 269, 8158, 476, 275, 4728, 476, 1220, 279, 563, 268, 6931, 267, 932, 10224, 11860, 2967, 282, 26284, 267, 31410, 11860, 826, 328, 282, 700, 2967, 267, 15616, 25286, 340, 630, 1001, 277, 1040, 834, 9463, 364, 419, 479, 352, 11590, 498, 421, 505, 370, 23946, 368, 28786, 418, 369, 371, 420, 375, 491, 419, 503, 377, 420, 487, 366, 418, 479, 494, 26233, 500, 418, 350, 486, 10524, 370, 257, 1496, 19669, 28015, 27418, 540, 15990, 3150, 13108, 538, 476, 4198, 271, 338, 316, 630, 14457, 1040, 476, 9463, 364, 419, 479, 352, 14035, 500, 419, 506, 479, 32512, 13200, 509, 417, 495, 377, 420, 357, 502, 418, 484, 370, 420, 486, 485, 10533, 502, 11590, 489, 420, 367, 485, 13161, 503, 18021, 360, 630, 514, 4457, 630, 307, 2967, 9774, 26895, 12872, 701, 328, 281, 4659, 540, 6176, 3163, 267, 6298, 8598, 16429, 3821, 269, 21444, 630, 14457, 264, 689, 519, 3312, 593, 476, 279, 4864, 476, 1708, 273, 269, 8158, 476, 275, 5147, 476, 1708, 273, 563, 268, 27173, 334, 267, 15616, 5174, 514, 630, 1626, 5147, 476, 1708, 271, 1040, 834, 274, 257, 630, 14457, 1040, 17276, 350, 480, 418, 364, 372, 418, 372, 483, 420, 486, 485, 16043, 364, 23523, 490, 418, 369, 371, 420, 375, 491, 19404, 491, 10533, 368, 1496, 10817, 328, 962, 784, 268, 4221, 543, 519, 13108, 1234, 32360, 1310, 519, 4457, 6406, 2782, 316, 630, 763, 3974, 264, 630, 514, 4457, 630, 307, 2967, 9774, 26895, 19248, 1195, 10224, 267, 15990, 281, 4659, 540, 8466, 3194, 267, 2817, 6239, 2160, 269, 21444, 630, 14457, 264, 689, 519, 3312, 593, 476, 276, 5147, 476, 1708, 273, 269, 8158, 476, 275 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2500, 10074, 616, 606, 11212, 1271, 851, 540, 519, 5046, 268, 866, 3070, 267, 9039, 616, 4625, 2500, 267, 543, 865, 649, 798, 991, 4550, 8686, 597, 1023, 547, 2569, 519, 10335, 540, 1346, 945, 1831, 7783, 32289, 6496, 594, 591, 332, 24514, 18748, 18972, 6875, 1775, 591, 332, 24514, 630, 1805, 668, 624, 565, 264, 593, 606, 8900, 7181, 543, 609, 513, 2407, 4837, 540, 1216, 11053, 4711, 281, 594, 591, 332, 24514, 267, 2657, 267, 5046, 268, 866, 267, 772, 15660, 993, 3206, 1250, 17594, 8219, 616, 14129, 267, 17611, 11065, 611, 1200, 343, 532, 734, 854, 1166, 826, 344, 609, 15265, 1394, 1928, 15660, 591, 332, 24514, 1281, 711, 6146, 519, 2937, 17494, 1281, 1775, 591, 332, 24514, 2800, 3425, 602, 2014, 593, 577, 665, 518, 857, 12118, 543, 4061, 621, 786, 711, 10826, 713, 1826, 540, 3968, 476, 274, 269, 6826, 523, 6704, 8028, 309, 543, 11993, 1216, 15660, 1258, 1227, 267, 519, 5046, 15833, 2965, 2270, 15660, 1589, 621, 781, 7168, 2922, 547, 2161, 602, 4376, 4929, 9667, 771, 638, 2884, 949, 581, 27200, 2901, 707, 8937, 18508, 610, 596, 23441, 8401, 1062, 630, 663, 1346, 1079, 616, 4448, 1022, 6011, 264, 2334, 781, 21173, 15660, 591, 332, 24514, 568, 1419, 1031, 538, 519, 772, 15660, 591, 332, 24514, 568, 2356, 3144, 607, 513, 2582, 9570, 610, 3126, 540, 269, 2791, 949, 1867, 2427, 2360, 547, 519, 15111, 693, 476, 272, 268, 8517, 6363, 6395, 268, 10482, 279, 16638, 519, 2013, 540, 1775, 591, 332, 24514, 267, 621, 729, 865, 2647, 513, 7934, 1063, 3106, 543, 17219, 602, 789, 7948, 1405, 798, 602, 269, 2710, 711, 946, 891, 267, 607, 789, 3335, 2270, 4874, 26120, 28340, 630, 303, 9680, 1070, 799, 568, 6757, 547, 3425, 2529, 322, 28320, 543, 2083, 926, 12118, 616, 519, 1034, 1455, 3676, 602, 666, 581, 5701, 1210, 594, 591, 332, 24514, 5861, 2086, 10428, 654, 290, 834, 296, 591, 332, 24514, 607, 606, 25316, 31730, 12792, 8665, 585, 946, 538, 3425, 269, 0, 290, 13072, 1299, 14645, 281, 13983, 1375, 681, 6269, 601, 15008, 281, 589, 1434, 3077, 585, 10822, 22811, 338, 543, 1507, 24985, 267, 1290, 564, 12275, 2784, 323, 630, 290, 270, 1220, 280, 623, 272, 264, 1631, 31438, 538, 4541, 3047, 781, 10543, 22839, 267, 513, 11931, 1685, 518, 855, 1175, 2630, 21736, 31378, 15287, 269, 22370, 8084, 2592, 899, 713, 12432, 689, 5239, 476, 1428, 666, 1265, 519, 28661, 609, 513, 17681, 3039, 635, 320, 267, 23242, 2789, 21217, 267, 543, 29886, 1996, 513, 4282, 540, 25861, 6801, 269, 634, 2361, 540, 2070, 21269, 936, 476, 272, 4110, 610, 827, 476, 273, 2407, 24262, 1369, 519, 7013, 6302, 540, 519, 26424, 4173, 6047, 269, 3767, 1472, 476, 1626, 1769, 3764, 630, 273, 24666, 4559, 264, 2476, 267, 623, 272, 12275, 2784, 323, 568, 606, 11371, 1231, 1227, 1804, 28661, 267, 855, 786, 2760, 1118, 513, 1360, 2673, 1935, 547, 3047, 610, 519, 6129, 1247, 27789, 998, 519, 6418, 3859, 1062, 269, 1306, 513, 1267, 267, 519, 28661, 786, 2693, 3251, 513, 8289, 585, 12382, 8084, 4064, 1152, 267, 3001, 7444, 998, 519, 6607, 543, 6967, 538, 4173, 6047, 1282, 519, 4947, 3275, 563, 22498, 5680, 13505, 32276, 267, 2782, 11789, 267, 543, 2598, 8010, 619, 454, 22498, 24722, 281, 20289, 7439, 5142, 269, 16930, 2924, 4019, 563, 288, 3028, 540, 281, 700, 4047, 288, 693, 8331, 1315, 717, 306, 15598, 454, 261, 12309, 15306, 269, 772, 563, 17780, 593, 18395, 16514, 2986, 519, 4303, 454, 14276, 725, 609, 17161, 281, 28661, 910, 12432, 3239, 910, 4173, 6047, 454, 14276, 725, 609, 1913, 281, 28661, 910, 12432, 3239, 910, 4173, 6047, 0, 10111, 565, 2088, 2836, 1580, 334, 910, 2052, 10052, 807, 9782, 320, 910, 16047, 1532, 6756, 23531, 454, 11243, 281, 10491, 2836, 1580, 334, 454, 16446, 525, 1514, 525, 281, 4179, 2517, 4178, 269, 13318, 8183, 2593, 270, 8364, 565, 5632, 1580, 334, 13045, 17138, 281, 2052, 10052, 807, 9782, 320, 1107, 16047, 1532, 6756, 23531, 454, 11854, 322, 773, 281, 28529, 19687, 1315, 2052, 10052, 807, 9782, 320, 454, 20373, 281, 2052, 10052, 807, 9782, 320, 610, 2442, 569, 1634, 607, 834, 2041, 778, 1532, 6756, 257, 568, 513, 9341, 2030, 267, 540, 519, 28529, 19687, 1920, 267, 609, 513, 1212, 9429, 6565, 267, 1336, 538, 519, 10664, 540, 10163, 532, 320, 2059, 519, 19384, 5032, 269, 898, 16036, 1063, 4728, 547, 2904, 267, 12946, 4829, 1063, 4728, 547, 4873, 267, 8108, 3039, 5388, 799, 267, 950, 18009, 2989, 267, 2490, 6960, 267, 1930, 543, 771, 704, 572, 741, 5452, 563, 763, 11660, 16503, 1674, 6799, 513, 7936, 540, 2052, 10052, 807, 9782, 320, 538, 2067, 4336, 267, 922, 15496, 4783, 543, 519, 4098, 540, 4829, 2305, 269, 2201, 519, 1318, 2427, 519, 5888, 6799, 519, 3039, 4829, 538, 519, 3355, 5123, 540, 6079, 5250, 543, 16310, 519, 18009, 2989, 4829, 1930, 609, 922, 5452, 563, 763, 7206, 4480, 568, 1216, 10233, 4294, 593, 476, 2004, 260, 10412, 1957, 1210, 2067, 30709, 31582, 590, 762, 26814, 563, 32051, 281, 11660, 14745, 454, 20007, 1664, 281, 1216, 10233, 593, 476, 2004, 260, 10412, 1957, 454, 23917, 281, 476, 5655, 1535, 476, 3066, 267, 278, 9492, 1315, 476, 7761, 31389, 529, 0, 30131, 12909, 543, 2053, 950, 707, 5048, 1590, 581, 4607, 543, 7608, 1590, 581, 16516, 6619, 540, 942, 269, 901, 7041, 568, 6462, 676, 519, 3617, 3903, 540, 950, 547, 2253, 519, 2911, 269, 25826, 3877, 971, 607, 519, 942, 540, 1554, 267, 707, 543, 707, 954, 32643, 12460, 779, 30181, 267, 543, 3313, 2436, 1631, 568, 606, 3617, 942, 585, 1864, 547, 3717, 563, 2414, 5968, 3927, 267, 513, 5934, 4110, 540, 5048, 7041, 568, 1898, 269, 5269, 621, 2312, 1018, 596, 4126, 547, 2744, 689, 519, 2911, 267, 1946, 596, 8359, 513, 1808, 1888, 267, 543, 1018, 519, 2640, 1131, 581, 585, 1312, 5011, 563, 2414, 2327, 602, 707, 5048, 568, 6956, 267, 5968, 1018, 596, 1616, 607, 3274, 543, 13801, 569, 607, 2009, 269, 2334, 568, 267, 538, 10750, 1893, 602, 16764, 666, 10146, 543, 1759, 593, 1134, 28004, 1239, 269, 3680, 1210, 22394, 610, 3362, 29144, 1913, 543, 7215, 269, 19321, 513, 5150, 543, 4023, 2078, 609, 3025, 609, 7247, 596, 2170, 563, 2414, 973, 777, 267, 513, 572, 10364, 2792, 5161, 540, 1079, 2694, 281, 16561, 519, 954, 32643, 12460, 779, 1318, 547, 606, 6644, 267, 1100, 2339, 875, 8966, 621, 949, 1413, 547, 596, 267, 543, 11589, 707, 1448, 540, 2070, 9244, 855, 30780, 267, 1510, 14124, 519, 954, 32643, 12460, 538, 1022, 6073, 563, 15239, 16812, 2792, 568, 3743, 585, 476, 4649, 260, 540, 782, 2792, 269, 769, 1931, 585, 707, 5048, 547, 581, 6707, 4607, 267, 26068, 1893, 1590, 1489, 1913, 602, 1118, 909, 1152, 476, 278, 260, 540, 519, 6643, 269, 9861, 9237, 609, 3054, 543, 15388, 875, 596, 8415, 707, 1560, 950, 14379, 609, 1004, 568, 519, 14724, 4480, 563, 6546, 568, 267, 581, 4628, 27153, 538, 519, 6643, 267, 2628, 2673, 3007, 267, 543, 3801, 547, 10110, 3388, 1767, 547, 596, 563, 763, 14724, 1935, 547, 8159, 952, 596, 10146, 539, 1018, 596, 7150, 568, 547, 2307, 267, 968, 12441, 594, 1205, 621, 1318, 9495, 1411, 1522, 849, 2307, 873, 547, 2491, 1018, 789, 4862, 610, 1018, 789, 1544, 547, 798, 563, 293, 3975, 3724, 568, 849, 1898, 693, 782, 2053, 1282, 519, 6643, 538, 1931, 585, 1022, 2792, 547, 581, 11327, 269, 2659, 4901, 7649, 779, 5955, 666, 1491, 519, 1106, 540, 26068, 4191, 610, 2312, 1913, 563, 7212, 621, 949, 2408, 602, 14379, 568, 2241, 267, 594, 723, 1336, 602, 1434, 2792, 4485, 616, 711, 607, 1419, 6964, 607, 594, 1131, 1616, 269, 1656, 1434, 2792, 5012, 547, 6793, 3347, 543, 513, 811, 19311, 2754, 269, 0, 292, 6141, 2342, 568, 519, 9456, 851, 540, 519, 3864, 11782, 269, 634, 2165, 814, 513, 2647, 2039, 540, 23786, 267, 10923, 267, 6803, 267, 2686, 267, 543, 8739, 20300, 25664, 725, 269, 6576, 267, 513, 1098, 11666, 1581, 2197, 609, 1472, 476, 2537, 829, 1298, 540, 922, 2244, 21346, 538, 8109, 2342, 267, 568, 519, 4102, 3864, 2197, 676, 1858, 267, 17364, 10199, 476, 2412, 829, 1298, 540, 2342, 781, 2698, 2244, 21346, 282, 621, 568, 849, 519, 1034, 29245, 3864, 2197, 267, 609, 519, 5354, 540, 922, 4961, 23493, 538, 922, 3864, 6712, 543, 16030, 936, 476, 1428, 829, 1298, 540, 519, 11782, 781, 2551, 563, 292, 6141, 2342, 4564, 513, 1713, 851, 540, 3864, 2528, 267, 609, 922, 1292, 8739, 14426, 4162, 9967, 540, 23577, 545, 543, 5259, 5389, 607, 1134, 607, 519, 3310, 540, 8109, 8567, 267, 13840, 2919, 998, 519, 2022, 1606, 5902, 8109, 4936, 7276, 282, 543, 267, 547, 513, 14758, 6708, 267, 16368, 268, 5028, 15349, 3310, 269, 6271, 4214, 729, 2813, 676, 519, 12019, 2782, 609, 8109, 2349, 665, 21340, 2829, 16030, 8109, 2342, 563, 268, 834, 763, 26811, 753, 257, 21444, 476, 1015, 5412, 476, 1001, 278, 693, 519, 10158, 3724, 10724, 267, 6820, 21126, 281, 589, 22647, 11576, 532, 543, 2622, 12983, 13505, 269, 5453, 9934, 20908, 3726, 2160, 14727, 10938, 585, 12409, 16370, 267, 476, 1960, 280, 1700, 1220, 273, 563, 268, 834, 297, 14493, 16402, 11985, 13636, 2668, 476, 275, 4989, 476, 1001, 275, 269, 21444, 689, 519, 3312, 593, 476, 275, 4989, 476, 1001, 275, 563, 268, 834, 18197, 8315, 10803, 10406, 268, 9208, 13474, 543, 9351, 32011, 4147, 5874, 630, 300, 5392, 9984, 10481, 4919, 3204, 687, 8487, 268, 10548, 564, 267, 17939, 27444, 623, 269, 630, 1960, 279, 1040, 8109, 2342, 281, 6214, 267, 2528, 267, 543, 2486, 2094, 476, 4350, 280, 269, 18518, 2160, 4964, 269, 533, 269, 476, 1428, 269, 9768, 476, 7818, 268, 28276, 25834, 16348, 277, 269, 8158, 476, 276, 5239, 476, 1001, 272, 563, 268, 834, 257, 292, 6141, 2342, 257, 654, 3994, 569, 31002, 2668, 634, 8859, 626, 269, 476, 278, 5130, 476, 1001, 271, 563, 268, 834, 288, 1715, 4750, 585, 6239, 2342, 2668, 8940, 269, 576, 21623, 3820, 269, 21444, 689, 519, 3312, 593, 476, 4029, 5239, 476, 1001, 278, 269, 8158, 476, 4029, 4864, 476, 1220, 280, 563, 268, 7671, 670, 269, 589, 732, 321, 8527, 630, 1691, 2904, 476, 1001, 275, 1040, 634, 25156, 540, 2797, 1689, 538, 8109, 2342, 269, 11977, 4432, 3258, 14539, 269, 6032, 269, 476, 272, 1700, 269, 9768, 476, 7818, 268, 272, 268, 4281, 272, 4817, 268, 275, 3066, 268, 275, 563, 268, 476, 21444, 476, 274, 4989, 476, 1001, 276, 693, 519, 10158, 3724, 10724, 269, 16402, 22106, 4318, 1755, 11985, 4318, 340, 269, 8158, 593, 476, 275, 4728, 476, 1001, 276, 563, 268, 834, 16954, 1637, 10406, 267, 23370, 288, 267, 2136, 8315, 281, 2622, 15510, 6520, 532, 476, 4198, 271, 268, 13078, 271, 257, 630, 14457, 1040, 0, 1607, 568, 513, 10319, 2376, 563, 8072, 763, 6575, 685, 849, 17019, 607, 5499, 6575, 568, 513, 28094, 540, 1434, 11247, 267, 2511, 2090, 267, 26107, 267, 12416, 267, 7544, 543, 14557, 14670, 2762, 269, 1358, 2709, 930, 540, 519, 1034, 24886, 2994, 547, 6655, 1525, 4369, 585, 1453, 563, 26589, 609, 4758, 3255, 585, 14232, 22825, 267, 972, 616, 849, 1082, 4974, 12587, 602, 2408, 609, 621, 269, 1452, 616, 15629, 267, 10444, 267, 5042, 267, 1514, 543, 5626, 563, 763, 3773, 2640, 540, 519, 6575, 979, 3544, 540, 1525, 4369, 543, 9345, 799, 568, 1946, 621, 568, 17709, 540, 10962, 547, 1507, 1453, 269, 21763, 547, 12398, 856, 1454, 811, 888, 1103, 713, 2376, 568, 930, 1344, 689, 606, 28102, 2852, 538, 670, 2086, 560, 1737, 593, 519, 2318, 3344, 540, 519, 6575, 585, 1453, 563, 2026, 19920, 1174, 547, 9787, 3156, 8246, 585, 11247, 610, 2824, 909, 519, 6791, 547, 22285, 267, 789, 2253, 547, 10536, 543, 7794, 741, 1164, 7779, 5179, 7207, 269, 2552, 9776, 9416, 5322, 616, 2838, 950, 1565, 547, 4497, 538, 1978, 7405, 799, 5267, 14304, 891, 7207, 4991, 547, 581, 17149, 563, 291, 766, 543, 13465, 5512, 1762, 1453, 547, 946, 741, 9641, 543, 17873, 538, 4444, 547, 4019, 14407, 5179, 7207, 799, 616, 3812, 538, 519, 3152, 6091, 538, 519, 3003, 1560, 563, 14399, 4228, 547, 1174, 827, 519, 3003, 1158, 689, 875, 789, 7237, 621, 676, 1259, 540, 741, 12823, 269, 26361, 942, 267, 5049, 19927, 786, 1450, 513, 1126, 779, 2247, 547, 1174, 543, 4431, 547, 1007, 10444, 11378, 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 ]
[ 519, 2783, 602, 12361, 325, 3287, 6661, 325, 7268, 14433, 1535, 264, 1012, 269, 1548, 1281, 602, 2995, 721, 827, 519, 875, 519, 1871, 540, 519, 1599, 9775, 607, 649, 1847, 2059, 513, 24293, 1899, 689, 519, 5169, 2496, 296, 1589, 594, 1246, 630, 663, 1174, 519, 1448, 540, 519, 20726, 1040, 5221, 540, 519, 25754, 2783, 267, 649, 666, 1711, 513, 11741, 15410, 630, 7945, 607, 519, 2343, 3440, 1070, 799, 568, 16798, 513, 2518, 6922, 6500, 269, 1284, 8044, 267, 2094, 1169, 834, 2001, 257, 689, 519, 5169, 814, 519, 1482, 1871, 267, 649, 666, 2015, 513, 15410, 12361, 1422, 346, 343, 2433, 13466, 343, 1475, 1422, 19008, 476, 272, 1422, 348, 12361, 267, 543, 946, 519, 1284, 1009, 14993, 11532, 602, 972, 1590, 2291, 930, 12361, 343, 318, 271, 1012, 602, 568, 519, 2518, 6922, 6500, 780, 10303, 1169, 834, 2001, 257, 814, 519, 1482, 1871, 267, 519, 2518, 6922, 6500, 593, 938, 11741, 15410, 568, 849, 519, 2518, 6922, 6500, 540, 519, 3677, 267, 30898, 15903, 1305, 269, 1772, 602, 811, 610, 1447, 2953, 2496, 6546, 781, 519, 2489, 2856, 267, 855, 594, 1810, 1405, 917, 1018, 596, 1611, 676, 519, 2343, 3440, 269, 3657, 596, 13288, 547, 519, 8258, 12361, 306, 317, 272, 1012, 286, 2334, 568, 6157, 513, 11741, 1305, 269, 1809, 952, 596, 2811, 13288, 547, 519, 1305, 540, 782, 2798, 538, 519, 6389, 540, 12361, 325, 1012, 609, 29870, 1447, 982, 610, 3160, 547, 476, 272, 267, 621, 568, 711, 11741, 1317, 621, 1281, 711, 1331, 519, 5169, 780, 9827, 267, 594, 2303, 9319, 2453, 899, 1412, 1492, 2518, 6922, 16014, 262, 799, 10522, 972, 568, 513, 2189, 1448, 538, 519, 6389, 1141, 519, 5934, 568, 5833, 269, 3245, 519, 12361, 315, 14433, 1012, 2783, 649, 917, 972, 616, 28222, 1082, 971, 2798, 267, 16030, 693, 2547, 835, 18422, 269, 769, 1249, 519, 2243, 568, 15054, 538, 513, 20868, 1259, 543, 4667, 547, 803, 547, 1095, 6269, 846, 922, 3932, 269, 589, 1732, 1259, 547, 1533, 519, 2243, 568, 3274, 1412, 2889, 557, 602, 12361, 325, 1012, 814, 513, 2518, 5934, 3299, 610, 1412, 2889, 557, 602, 972, 6818, 12361, 343, 318, 271, 1012, 538, 519, 6389, 540, 12361, 325, 1012, 971, 602, 12361, 325, 3287, 318, 271, 21174, 8882, 589, 1012, 1141, 12361, 288, 1012, 568, 519, 3239, 540, 12361, 325, 1012, 262, 780, 9827, 4063, 602, 972, 616, 1896, 1284, 1512, 1598, 817, 11933, 916, 267, 8720, 4922, 1114, 3584, 269, 6423, 1934, 269, 594, 6415, 27378, 519, 835, 596, 2811, 13288, 547, 568, 519, 12157, 345, 8457, 268, 2171, 1512, 1598, 817, 14497, 780, 12552, 585, 519, 5955, 267, 621, 568, 1360, 5363, 256, 1635, 2343, 3440, 594, 1611, 519, 1305, 12361, 1422, 346, 1535, 1422, 514, 681, 18898, 2433, 13466, 343, 1475, 3709, 273, 348, 2999, 524, 1422, 348, 12361, 1141, 524, 568, 930, 3586, 269, 898, 781, 519, 2165, 938, 7548, 814, 1044, 1210, 267, 1498, 519, 10035, 3238, 814, 1044, 513, 3787, 16559, 269, 901, 568, 7361, 606, 4294, 23756, 11938, 1576, 267, 609, 519, 1101, 1906, 4374, 1373, 513, 14834, 21686, 998, 519, 3069, 267, 543, 594, 14353, 519, 3339, 6101, 885, 540, 2079, 616, 1373, 16207, 547, 519, 2842, 269, 594, 14353, 519, 9642, 2236, 2084, 568, 1813, 547, 519, 2055, 1373, 15504, 689, 513, 3099, 540, 5931, 267, 543, 646, 6836, 547, 834, 7538, 1125, 257, 519, 2262, 532, 5594, 267, 855, 594, 7948, 1405, 2731, 2161, 585, 2386, 780, 1012, 476, 272, 269, 1548, 568, 513, 15410, 540, 681, 18898, 2496, 288, 15410, 540, 681, 18898, 568, 513, 1305, 540, 2798, 538, 562, 8820, 28070, 2230, 269, 898, 666, 581, 2219, 540, 607, 513, 4130, 610, 811, 1808, 4528, 540, 519, 3003, 562, 8820, 2230, 780, 1012, 476, 273, 269, 1548, 1281, 621, 1611, 585, 513, 15410, 540, 681, 18898, 547, 581, 11741, 2496, 288, 11741, 15410, 540, 681, 18898, 568, 835, 602, 568, 6806, 543, 22112, 269, 901, 1797, 602, 519, 15410, 3568, 782, 540, 922, 10465, 2798, 543, 568, 3908, 538, 2450, 267, 609, 513, 13113, 3845, 1063, 922, 17439, 4554, 2798, 780, 1012, 476, 274, 269, 1215, 666, 594, 6961, 602, 513, 15410, 540, 681, 18898, 568, 11741, 2496, 2414, 6961, 602, 513, 15410, 540, 681, 18898, 568, 11741, 267, 596, 666, 946, 835, 540, 1896, 2409, 267, 971, 607, 519, 1261, 710, 5174, 648, 331, 14497, 267, 519, 12157, 345, 8457, 268, 2171, 1512, 1598, 817, 14497, 267, 610, 519, 18615, 11741, 1145, 3959, 269, 1452, 2409, 4125, 6029, 602, 519, 15410, 568, 6806, 543, 22112, 267, 610, 602, 1169, 5311, 538, 519, 15410, 814, 513, 4780, 7217, 6102, 775, 780, 1012, 476, 275, 269, 4208, 568, 621, 1271, 547, 6961, 602, 513, 15410, 540, 681, 18898, 568, 11741, 2496, 3682, 1324, 602, 513, 15410, 540, 681, 18898, 568, 11741, 568, 1271, 1317, 621, 2636, 721, 547, 1118, 1978, 8753, 827, 519, 2623, 540, 519, 15410, 269, 1280, 1383, 267, 649, 666, 946, 11741, 1145, 547, 10018, 602, 513, 6024, 1599, 593, 519, 15410, 814, 513, 5021, 543, 5934, 1871, 267, 610, 602, 513, 5311, 538, 519, 15410, 1590, 27721, 547, 513, 1448, 538, 519, 15410, 780, 1012, 476, 276, 269, 2052, 513, 15410, 540, 681, 18898, 581, 1312, 1930, 543, 11741, 2496, 5591, 267, 513, 15410, 540, 681, 18898, 3112, 581, 1312, 1930, 543, 11741, 269, 769, 1249, 267, 513, 15410, 540, 681, 18898, 568, 11741, 952, 543, 1152, 952, 621, 568, 6806, 543, 22112, 269, 901, 1797, 602, 513, 11741, 15410, 3112, 723, 1022, 9475, 610, 10616, 538, 621, 267, 543, 621, 1590, 723, 513, 13113, 2450, 780, 1892, 20145, 543, 15332, 14581, 6435, 454, 28806, 454, 1321, 454, 21366, 454, 272, 298, 454, 1892, 20145, 543, 15332, 14581, 6435, 454, 28806, 454, 276, 454, 21366, 454, 272, 298, 454, 1892, 20145, 543, 15332, 14581, 6435, 454, 28806, 454, 275, 454, 21366, 454, 275, 2641, 454, 1892, 20145, 543, 15332, 14581, 6435, 454, 28806, 454, 272, 454, 21366, 454, 276, 4510, 454, 1892, 20145, 543, 15332, 14581, 6435, 454, 28806, 454, 274, 454, 21366, 454, 6812, 277, 454, 1892, 20145, 543, 15332, 14581, 6435, 454, 28806, 454, 1691, 454, 21366, 454, 273, 298, 454, 1892, 20145, 543, 15332, 14581, 6435, 454, 28806, 454, 4097, 454, 21366, 454, 273, 298, 454, 1892, 20145, 543, 15332, 14581, 6435, 454, 28806, 454, 1691, 454, 21366, 454, 4649, 272, 454, 1892, 20145, 543, 15332, 14581, 6435, 454, 28806, 454, 274, 454, 21366, 454, 4375, 273, 454, 1892, 20145, 543, 15332, 14581, 6435, 454, 28806, 454, 277, 454, 21366, 454, 3393, 273, 0, 258, 476, 1001, 280, 7537, 290, 476, 1015, 288, 10819, 270, 19370, 476, 1321, 692, 763, 1739, 1966, 568, 689, 1312, 519, 476, 1001, 280, 7537, 290, 476, 1015, 288, 1948, 1321, 543, 476, 1001, 280, 7537, 290, 476, 1321, 288, 1948, 278, 267, 865, 1312, 2042, 28570, 547, 713, 2985, 780, 1012, 9046, 692, 27839, 534, 773, 1939, 525, 519, 1611, 4399, 14153, 8961, 519, 11667, 1269, 300, 8961, 543, 519, 12331, 540, 519, 1269, 18458, 259, 2418, 602, 616, 519, 7389, 538, 519, 3275, 540, 1269, 1001, 280, 10608, 4935, 1200, 1239, 2874, 540, 1269, 1321, 259, 1269, 272, 20728, 346, 338, 20954, 1269, 1321, 259, 1269, 273, 20728, 346, 338, 20954, 1547, 1547, 1547, 2073, 1269, 1321, 259, 1269, 2764, 20728, 346, 338, 20954, 1269, 1556, 259, 1269, 3066, 20728, 346, 338, 20954, 1269, 1556, 259, 1269, 1789, 20728, 346, 338, 20954, 543, 1269, 278, 259, 1269, 4029, 20728, 346, 338, 23201, 2913, 1269, 323, 259, 581, 519, 11667, 540, 519, 12331, 269, 6904, 540, 519, 1739, 6898, 568, 3020, 2496, 7445, 3667, 8578, 18950, 288, 264, 7684, 1422, 14153, 2999, 546, 2999, 631, 1422, 29911, 20728, 8578, 18950, 289, 264, 7684, 631, 2999, 546, 2999, 1422, 14153, 1422, 29911, 20728, 8578, 18950, 290, 264, 7684, 546, 815, 631, 31386, 14153, 1422, 29911, 20728, 8578, 18950, 291, 264, 7684, 546, 2999, 631, 2999, 1422, 14153, 1422, 29911, 20728, 8578, 18950, 292, 264, 7684, 546, 2999, 1422, 14153, 2999, 631, 6911, 1012, 8827, 692, 5575, 540, 782, 267, 1269, 323, 259, 15069, 814, 547, 4130, 982, 1269, 300, 259, 2094, 950, 12719, 1269, 300, 259, 596, 1034, 1491, 883, 2272, 519, 1269, 3066, 781, 8961, 1269, 1789, 781, 8961, 543, 1269, 4029, 338, 10608, 1924, 649, 666, 9004, 18159, 289, 7751, 543, 18159, 290, 30879, 634, 11667, 267, 4399, 14153, 8961, 568, 1269, 1626, 8961, 855, 596, 8275, 602, 519, 1611, 18121, 300, 259, 264, 1590, 581, 4130, 982, 1269, 1626, 259, 2094, 972, 616, 1454, 1447, 1269, 3066, 781, 8961, 1269, 1789, 781, 8961, 543, 1269, 4029, 338, 10608, 1269, 323, 259, 568, 1447, 602, 4399, 14153, 259, 1317, 950, 12719, 4399, 14153, 259, 596, 1331, 1269, 3066, 8961, 1269, 1789, 8961, 543, 1269, 4029, 10608, 13295, 519, 2626, 568, 1269, 323, 2999, 1422, 14153, 2999, 631, 1422, 574, 18680, 1422, 7901, 539, 18950, 292, 264, 4151 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17730, 2659, 5027, 15369, 834, 19445, 3828, 514, 4840, 303, 9438, 643, 568, 2870, 519, 2104, 540, 16762, 4915, 563, 8794, 1985, 22831, 5027, 15971, 267, 621, 2708, 525, 513, 1268, 779, 1981, 1377, 585, 811, 982, 476, 1626, 267, 1822, 3676, 269, 769, 1840, 267, 621, 9696, 811, 982, 476, 736, 267, 1822, 6090, 543, 23607, 476, 4968, 5061, 2443, 9247, 267, 2870, 513, 1268, 779, 5027, 2861, 968, 19445, 3828, 514, 3034, 303, 9438, 643, 779, 3760, 6087, 2550, 547, 8263, 2407, 1852, 936, 741, 4719, 9043, 267, 543, 16877, 873, 547, 1118, 4977, 1072, 3664, 269, 2311, 519, 1482, 942, 267, 621, 3947, 3782, 4600, 1569, 547, 2038, 21904, 543, 6099, 3075, 13066, 543, 7840, 563, 19091, 4152, 814, 1831, 11104, 3585, 2442, 269, 6168, 476, 1789, 2929, 1004, 723, 1185, 741, 5027, 9916, 865, 2484, 269, 1656, 676, 476, 1708, 276, 267, 519, 2344, 585, 4719, 4152, 568, 4397, 547, 3914, 1269, 1839, 5479, 563, 22117, 532, 519, 1259, 538, 713, 2344, 616, 513, 19625, 540, 3549, 602, 941, 2899, 6263, 30596, 267, 543, 616, 1631, 3818, 1532, 11669, 1673, 20683, 1967, 2984, 269, 1280, 1383, 912, 1103, 10903, 2801, 267, 799, 3091, 4719, 4255, 267, 814, 513, 2344, 1698, 540, 10199, 1269, 279, 5479, 269, 1323, 6827, 787, 2593, 267, 513, 2754, 3246, 5027, 4152, 585, 5444, 11530, 673, 5301, 267, 729, 9715, 538, 4864, 476, 1708, 271, 585, 1269, 275, 269, 278, 5479, 269, 1656, 476, 2537, 663, 9288, 267, 799, 3091, 5027, 4255, 1463, 3562, 15926, 28366, 267, 568, 4397, 547, 979, 1857, 4166, 693, 513, 29925, 540, 1269, 274, 269, 276, 5479, 563, 3719, 891, 3549, 1810, 1406, 2709, 1018, 21023, 643, 1281, 269, 1323, 6827, 787, 2593, 6212, 811, 593, 5444, 11530, 673, 10080, 2864, 982, 1072, 4030, 269, 11531, 267, 476, 2537, 663, 9288, 1152, 23607, 476, 1911, 6090, 543, 2708, 525, 519, 1981, 585, 476, 1691, 3676, 269, 769, 10903, 2801, 23607, 1152, 476, 15704, 6090, 543, 2708, 525, 519, 1981, 585, 476, 736, 3676, 269, 1306, 5018, 267, 21023, 643, 23607, 476, 736, 267, 1822, 6090, 267, 4758, 3755, 26080, 5813, 883, 811, 982, 476, 1626, 267, 1822, 3676, 563, 14818, 532, 519, 1981, 585, 713, 1082, 3676, 568, 2565, 269, 2334, 779, 1317, 476, 4649, 2929, 1004, 5884, 1169, 1032, 689, 513, 1272, 18446, 2068, 269, 1809, 19599, 267, 811, 982, 476, 1015, 260, 540, 891, 3676, 723, 513, 4719, 5057, 547, 873, 2443, 543, 1223, 5732, 723, 1044, 15286, 563, 1428, 260, 540, 782, 11871, 723, 606, 15110, 18687, 3815, 269, 476, 1321, 260, 540, 782, 6413, 23504, 616, 513, 1267, 540, 4719, 3123, 269, 1656, 476, 1015, 260, 540, 782, 5312, 3676, 267, 689, 3987, 547, 2295, 2068, 547, 12216, 779, 267, 723, 1713, 4719, 3334, 563, 763, 1966, 568, 602, 972, 18387, 1405, 1044, 606, 3608, 1259, 547, 6895, 4719, 12508, 547, 581, 593, 519, 1413, 719, 585, 4191, 540, 891, 3676, 2443, 2394, 1631, 563, 2080, 779, 875, 21023, 643, 779, 3760, 1568, 585, 3755, 912, 1892, 3689, 267, 789, 10505, 513, 5027, 3732, 9967, 540, 2947, 9491, 1716, 5661, 610, 547, 523, 5661, 269, 1452, 616, 5116, 538, 513, 20220, 543, 544, 9229, 547, 21023, 643, 563, 1892, 5822, 267, 21023, 643, 21555, 519, 5027, 267, 9696, 621, 267, 543, 23607, 621, 547, 1711, 519, 3593, 779, 968, 21745, 1388, 18618, 3034, 1892, 7053, 267, 3755, 616, 2366, 606, 27592, 547, 6443, 606, 2228, 610, 3068, 3562, 19904, 15360, 609, 513, 4719, 24468, 945, 786, 1305, 909, 513, 2123, 1125, 15324, 1544, 269, 13693, 725, 1331, 1569, 547, 513, 2347, 2068, 9043, 269, 1656, 3755, 666, 18082, 741, 6547, 547, 5061, 1759, 593, 741, 1377, 540, 17219, 267, 4398, 267, 10307, 267, 543, 18262, 563, 303, 9438, 643, 23619, 922, 4255, 585, 1269, 278, 3445, 269, 901, 2882, 15971, 543, 15360, 609, 513, 4719, 24468, 269, 18873, 666, 2901, 581, 11311, 610, 5227, 676, 513, 3782, 3318, 267, 610, 10288, 2047, 998, 922, 3896, 563, 303, 9438, 643, 6170, 2185, 1296, 3384, 922, 3760, 267, 799, 2934, 606, 14464, 11106, 2599, 269, 901, 2599, 729, 24019, 538, 4832, 476, 1708, 271, 998, 606, 15111, 2987, 341, 9407, 13044, 268, 866, 4161, 563, 1103, 713, 4161, 267, 21023, 643, 1031, 922, 3642, 2599, 547, 3589, 519, 3259, 540, 15096, 308, 30674, 2877, 1813, 547, 519, 11452, 269, 634, 23492, 19486, 538, 519, 1283, 3368, 540, 3906, 10283, 267, 799, 3769, 5616, 267, 6452, 550, 675, 267, 543, 519, 2160, 540, 4993, 5842, 12770, 563, 303, 9438, 643, 568, 538, 5717, 609, 811, 982, 476, 1789, 3782, 7426, 543, 968, 974, 548, 25924, 892, 3549, 547, 5732, 9772, 922, 4255, 269, 898, 779, 849, 538, 968, 325, 1400, 892, 5717, 585, 11731, 602, 1131, 2322, 922, 4255, 538, 476, 4968, 19190, 538, 519, 772, 2529, 1421, 3127, 267, 543, 3162, 5101, 5607, 563, 303, 9438, 643, 814, 1079, 24977, 19429, 269, 1656, 621, 6663, 547, 2253, 10451, 8907, 713, 1032, 269, 634, 2754, 3785, 547, 2736, 1256, 538, 476, 1240, 3275, 563, 4415, 7482, 6659, 267, 21023, 643, 786, 4142, 6510, 476, 2412, 260, 4724, 681, 22936, 3646, 267, 476, 2412, 260, 4724, 6725, 267, 543, 476, 736, 260, 4724, 8668, 543, 4238, 269, 13560, 519, 4155, 267, 519, 2754, 4566, 547, 4228, 922, 17008, 547, 1711, 513, 2347, 1072, 543, 2564, 1239, 3760, 267, 799, 786, 1331, 6484, 543, 8516, 4030, 563, 306, 1690, 2426, 814, 3573, 1995, 538, 519, 11976, 2361, 563, 26212, 547, 4358, 21023, 643, 267, 646, 729, 513, 7548, 540, 12713, 514, 26197, 693, 8592, 22846, 2160, 269, 6969, 602, 267, 646, 6170, 1079, 1296, 607, 16628, 540, 2098, 1729, 8469, 267, 513, 2754, 21751, 538, 7658, 25924, 563, 28606, 17067, 267, 646, 6170, 2947, 1296, 693, 519, 2817, 23941, 540, 2657, 267, 2519, 593, 4719, 4702, 543, 6915, 514, 26197, 269, 6969, 602, 267, 646, 729, 16628, 540, 1684, 551, 15299, 267, 513, 2564, 2029, 2754, 2870, 513, 5691, 267, 14464, 11106, 10276, 12574, 10629, 563, 306, 1690, 2426, 6585, 606, 32233, 689, 8592, 22846, 543, 513, 1912, 6185, 269, 538, 4437, 32441, 7070, 689, 519, 2160, 540, 16127, 563, 26212, 547, 21023, 643, 267, 590, 6359, 2426, 8547, 962, 27198, 4437, 15701, 267, 513, 23492, 5059, 593, 1985, 22831, 5027, 15971, 269, 6969, 602, 267, 646, 729, 513, 7548, 540, 12713, 514, 26197, 543, 21834, 693, 8592, 22846, 563, 3891, 6170, 8370, 1296, 538, 513, 28079, 1909, 607, 513, 6915, 514, 26197, 10196, 609, 519, 2817, 23941, 540, 2657, 267, 543, 1354, 602, 729, 513, 2022, 4777, 28118, 8284, 693, 519, 2817, 4659, 540, 12128, 543, 6226, 24304, 543, 26640, 15302, 269, 2755, 972, 267, 646, 2919, 3301, 1031, 585, 5027, 15971, 563, 28606, 17067, 267, 590, 6359, 2426, 729, 513, 10927, 2875, 693, 11785, 2160, 267, 543, 5892, 6594, 693, 1530, 9567, 2817, 2160, 269, 1261, 12236, 1010, 1912, 6185, 269, 538, 8212, 689, 645, 308, 543, 513, 25328, 779, 538, 8212, 689, 1530, 9567, 2817, 2160, 563, 20694, 779, 4282, 2882, 942, 538, 519, 3301, 543, 2883, 2533, 6080, 563, 3891, 3459, 1010, 4876, 607, 513, 3301, 11653, 609, 16816, 3757, 267, 606, 8668, 2533, 2754, 269, 3245, 972, 267, 646, 6170, 5216, 1296, 607, 513, 9614, 609, 6452, 550, 675, 267, 513, 17874, 2754, 269, 1261, 1287, 2968, 513, 8689, 693, 12313, 12850, 5264, 10870, 641, 619, 267, 513, 3318, 2533, 2754, 563, 5415, 5063, 267, 646, 1071, 1922, 15903, 18919, 3008, 17098, 313, 267, 513, 2883, 2533, 2754, 5059, 593, 5985, 8569, 3435, 269, 2991, 602, 267, 646, 6170, 1079, 1296, 609, 918, 15014, 294, 267, 1776, 3318, 2533, 2754, 563, 20694, 1287, 1071, 1922, 15903, 1325, 3266, 20764, 999, 267, 513, 2754, 3246, 29013, 2533, 547, 30596, 543, 5092, 5796, 547, 14679, 3854, 1235, 269, 1261, 1287, 729, 12751, 21952, 20229, 693, 654, 523, 640, 267, 606, 4950, 2533, 2754, 563, 3891, 12236, 513, 9457, 779, 4110, 538, 15379, 7177, 689, 12443, 27700, 685, 299, 4068, 543, 1776, 9457, 779, 538, 16373, 689, 594, 20067, 5333, 563, 6524, 11836, 21023, 643, 538, 4728, 476, 1001, 280, 267, 631, 1506, 6441, 534, 773, 729, 513, 4791, 11001, 693, 744, 577, 338, 1676, 2657, 267, 1141, 1352, 5059, 593, 11976, 1382, 269, 13405, 547, 602, 267, 1352, 1071, 1922, 15903, 8056, 728, 324, 16370, 267, 513, 3656, 1870, 3246, 11776, 2013, 2359, 2533, 563, 9515, 3459, 1200, 4876, 607, 513, 9972, 11776, 2013, 9614, 609, 3619, 525, 14024, 4521, 15278, 269, 2701, 12236, 513, 25328, 779, 4110, 538, 18143, 28668, 689, 519, 2160, 540, 4993, 267, 20588, 267, 606, 631, 6185, 269, 689, 634, 2160, 540, 24368, 267, 543, 513, 9457, 779, 4110, 538, 30911, 689, 8592, 22846, 563, 20694, 6387, 3459, 1010, 4876, 607, 513, 1357, 24490, 693, 1937, 31569, 12443, 23855, 545, 4659, 269, 2991, 602, 267, 646, 729, 5680, 15440, 609, 13368, 532, 5069, 9839, 5530, 267, 513, 1788, 538, 5698, 609, 634, 5274, 32081, 5741, 1644, 547, 4719, 4152, 543, 2079, 563, 5415, 5063, 267, 646, 729, 12751, 5303, 20229, 540, 6601, 3149, 325, 13635, 16370, 267, 1010, 1378, 2029, 24931, 1870, 269, 3245, 972, 267, 646, 4371, 519, 1482, 1909, 609, 674, 7416, 18145, 267, 606, 4950, 2533, 2754, 563, 20694, 6387, 12236, 513, 25328, 779, 4110, 538, 6176, 7010, 689, 5617, 334, 527, 5441, 269, 0, 2691, 519, 5736, 540, 21340, 4341, 3459, 538, 6576, 538, 476, 4489, 278, 267, 4984, 729, 2938, 607, 606, 21677, 547, 513, 30436, 24180, 2486, 269, 6145, 20913, 14100, 267, 1071, 27236, 540, 634, 19797, 2494, 28685, 334, 267, 1767, 281, 968, 15973, 1143, 5956, 1141, 19473, 1143, 5956, 3034, 297, 24944, 23237, 267, 607, 519, 2034, 6205, 540, 519, 8168, 5742, 267, 13986, 547, 20818, 17740, 656, 19473, 1143, 593, 519, 14081, 269, 634, 1007, 968, 25791, 626, 812, 2223, 23237, 11130, 267, 729, 606, 19473, 626, 267, 1863, 689, 519, 3909, 11800, 602, 1185, 5280, 547, 17063, 1864, 547, 1362, 15746, 269, 3245, 476, 4572, 279, 2394, 2622, 2782, 4083, 267, 950, 930, 9993, 941, 17159, 267, 519, 2698, 9107, 9598, 1807, 6806, 13039, 267, 31263, 690, 1132, 543, 9923, 13196, 543, 10288, 519, 12638, 543, 26646, 540, 5215, 540, 3909, 3401, 538, 606, 4674, 547, 9004, 1256, 519, 1523, 540, 2696, 563, 2108, 3891, 4718, 621, 607, 513, 1259, 547, 1205, 7759, 540, 513, 2250, 602, 4371, 1004, 1394, 543, 3802, 2509, 519, 2104, 540, 2257, 543, 3356, 2223, 3081, 14787, 24697, 8585, 761, 339, 3687, 518, 267, 2278, 540, 23237, 779, 13411, 2112, 281, 4984, 267, 18541, 543, 19137, 6214, 269, 968, 12024, 1034, 540, 1018, 23237, 1705, 267, 646, 18965, 519, 5208, 540, 519, 22255, 21442, 1974, 563, 310, 2969, 6224, 281, 13609, 543, 23237, 281, 24306, 540, 5345, 559, 538, 25886, 966, 5435, 454, 297, 24944, 23237, 8057, 909, 609, 4984, 454, 4002, 513, 2123, 1377, 267, 23237, 6785, 519, 5939, 1134, 269, 1306, 513, 1762, 812, 538, 1010, 5065, 11908, 267, 646, 729, 1101, 30461, 689, 835, 5033, 2435, 267, 1287, 7142, 547, 4734, 1776, 267, 1310, 1373, 18486, 585, 15896, 540, 10363, 3332, 269, 1306, 519, 1762, 5033, 514, 4115, 8057, 5051, 771, 650, 4288, 539, 609, 4984, 267, 968, 1492, 2518, 2470, 540, 14100, 1143, 267, 3592, 3909, 538, 922, 5203, 1275, 267, 729, 5393, 13267, 2223, 11339, 744, 5586, 966, 269, 10609, 4582, 14269, 4157, 267, 538, 1010, 12092, 540, 519, 9598, 1807, 538, 476, 1001, 276, 563, 763, 1249, 602, 782, 540, 1480, 1686, 1185, 3366, 547, 519, 968, 21639, 5933, 892, 540, 25847, 729, 606, 10694, 19175, 267, 543, 513, 19175, 799, 968, 326, 1511, 519, 12316, 6560, 2027, 4644, 2223, 646, 11339, 269, 3245, 713, 1448, 540, 2070, 267, 519, 1439, 20582, 811, 982, 1256, 519, 1034, 3665, 1797, 563, 3528, 519, 942, 23237, 6603, 519, 4463, 540, 1010, 1379, 538, 519, 476, 4572, 271, 338, 267, 519, 6739, 18179, 5783, 7283, 513, 3532, 3196, 267, 5103, 811, 982, 513, 8717, 540, 4550, 3146, 31437, 3800, 896, 32157, 22255, 514, 269, 6739, 27998, 941, 811, 10121, 982, 2479, 267, 11339, 9400, 631, 6758, 523, 538, 519, 10228, 15015, 593, 519, 3778, 540, 4004, 1143, 267, 609, 968, 1492, 1396, 21395, 540, 519, 5783, 892, 2141, 968, 1372, 788, 569, 12082, 538, 1496, 26132, 316, 1259, 540, 1272, 9232, 663, 2108, 16832, 547, 741, 2631, 540, 2495 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1692, 1677, 2372, 1774, 14576, 269, 32027, 519, 2012, 540, 513, 3382, 1685, 518, 568, 3833, 11807, 538, 13016, 8658, 267, 3226, 952, 519, 3382, 4528, 568, 811, 4583, 982, 519, 269, 5410, 519, 17581, 2012, 267, 538, 24495, 923, 563, 17138, 540, 5152, 1496, 13440, 867, 539, 676, 1101, 3355, 269, 968, 9767, 2161, 596, 3893, 513, 1483, 3070, 2223, 519, 10726, 956, 2206, 538, 968, 516, 23728, 476, 272, 1848, 6145, 513, 6648, 267, 2322, 19722, 7436, 1472, 1018, 779, 1373, 20926, 267, 543, 946, 513, 1793, 1662, 630, 1315, 3738, 547, 5815, 519, 1439, 540, 1899, 610, 14235, 563, 1103, 9537, 564, 7698, 267, 13772, 4934, 1280, 674, 820, 32228, 923, 563, 2690, 1655, 5920, 538, 24015, 2010, 564, 1570, 267, 946, 1697, 1462, 7240, 10839, 7436, 543, 19980, 1886, 1127, 630, 1225, 569, 10530, 15426, 10925, 19722, 7436, 1472, 5152, 10643, 281, 1703, 616, 1896, 7938, 9287, 3652, 596, 1590, 1246, 950, 596, 616, 844, 7627, 5152, 18405, 538, 707, 1957, 563, 8196, 634, 11374, 12856, 1677, 25737, 589, 14576, 3245, 898, 17480, 769, 7442, 320, 14474, 912, 2414, 13712, 513, 5152, 610, 2575, 3381, 538, 16643, 2511, 267, 596, 991, 547, 723, 2596, 1344, 1519, 519, 2012, 540, 519, 21917, 267, 2140, 540, 519, 5152, 610, 2575, 267, 2754, 2012, 267, 543, 8313, 4266, 269, 1306, 513, 4341, 267, 4704, 13366, 1058, 2270, 519, 7376, 779, 21519, 267, 5152, 779, 2140, 267, 5420, 267, 543, 16073, 543, 29250, 3095, 1141, 10858, 269, 5213, 1406, 596, 546, 732, 547, 1331, 519, 2898, 5152, 538, 707, 1557, 563, 12024, 589, 7313, 655, 267, 10925, 2372, 21320, 29485, 15907, 1548, 779, 9861, 2372, 6838, 267, 1656, 2422, 589, 6215, 1662, 630, 1315, 3738, 1677, 1473, 6510, 634, 7736, 2986, 7412, 2107, 7638, 572, 563, 2108, 574, 2602, 1100, 22590, 1315, 1775, 4898, 952, 596, 666, 1315, 1100, 991, 585, 26846, 610, 14000, 1315, 513, 269, 1215, 547, 10839, 18405, 596, 1058, 2328, 519, 18405, 540, 519, 5152, 609, 513, 2147, 3898, 269, 634, 1259, 596, 13712, 5152, 18405, 786, 4268, 4470, 593, 875, 596, 1569, 873, 543, 875, 1454, 1344, 596, 1331, 538, 519, 1560, 540, 707, 1557, 563, 1805, 11691, 2060, 634, 13405, 7151, 267, 1411, 14348, 3503, 912, 8196, 519, 2012, 540, 519, 1685, 518, 547, 13712, 19827, 269, 22439, 723, 1044, 844, 7627, 5152, 18405, 538, 741, 2835, 585, 552, 976, 267, 855, 952, 596, 1544, 547, 10839, 18405, 2854, 1310, 476, 4572, 276, 267, 581, 5423, 547, 798, 930, 1382, 2443, 543, 1205, 856, 707, 2638, 1504, 2443, 1279, 1354, 16089, 707, 1433, 269, 7170, 540, 519, 17581, 630, 663, 5705, 1856, 267, 952, 972, 568, 835, 264, 476, 276, 563, 2690, 7151, 267, 1879, 594, 4855, 3733, 1345, 769, 8648, 2986, 24410, 1076, 12624, 6307, 1290, 525, 1677, 2725, 269, 1411, 14348, 5900, 25572, 1677, 634, 19468, 956, 563, 302, 2466, 968, 1492, 892, 689, 513, 6512, 2012, 267, 552, 3052, 269, 1403, 596, 10839, 519, 18405, 676, 1098, 21564, 1331, 513, 5152, 585, 1383, 519, 6609, 593, 519, 596, 32353, 10483, 676, 519, 27412, 269, 1879, 596, 1616, 547, 1451, 875, 547, 10839, 513, 5152, 538, 513, 1957, 519, 1344, 2877, 2882, 282, 0, 8620, 513, 2462, 4336, 630, 328, 4318, 269, 513, 1279, 1899, 264, 593, 519, 6989, 609, 9633, 532, 11746, 269, 4460, 835, 1439, 607, 1412, 15124, 262, 543, 519, 824, 607, 1412, 289, 611, 8339, 2913, 5171, 1796, 593, 519, 4336, 2687, 547, 741, 9547, 609, 519, 2063, 21767, 269, 9105, 1004, 1018, 789, 5469, 563, 20329, 10999, 267, 2921, 513, 1796, 9308, 568, 1114, 689, 1175, 6031, 1945, 269, 898, 781, 811, 1412, 9418, 23823, 2791, 666, 19074, 519, 4336, 952, 596, 2673, 609, 2534, 1948, 4510, 563, 24058, 1125, 875, 1344, 8928, 538, 267, 856, 543, 1472, 519, 2319, 11905, 912, 3674, 1344, 711, 13576, 607, 1134, 607, 621, 2115, 547, 286, 1684, 596, 14353, 4420, 6352, 1815, 802, 286, 10439, 1125, 519, 2081, 1344, 8928, 547, 1265, 4358, 2798, 585, 9283, 269, 1403, 596, 1616, 547, 1413, 693, 835, 1808, 2095, 630, 324, 3052, 269, 1587, 4170, 267, 15641, 9323, 267, 3267, 264, 2638, 856, 10025, 20837, 29570, 630, 258, 8064, 1040, 1280, 3190, 1512, 3871, 2119, 1945, 28330, 547, 20531, 7232, 977, 5937, 328, 22329, 630, 258, 1839, 1040, 6733, 693, 519, 8737, 5373, 269, 7316, 616, 17799, 610, 4666, 7475, 888, 30812, 1619, 1082, 2009, 3527, 1524, 547, 1175, 1079, 519, 2319, 786, 2119, 11905, 912, 299, 11770, 807, 3400, 342, 8974, 1299, 1530, 30807, 1014, 715, 25638, 580, 718, 454, 21652, 856, 4994, 6486, 543, 12508, 269, 15681, 3025, 547, 2328, 1524, 519, 1079, 3527, 789, 1616, 547, 2119, 1985, 21767, 910, 607, 6405, 569, 607, 2009, 630, 15551, 11286, 1040, 3973, 3025, 8424, 909, 609, 741, 7023, 543, 1312, 1927, 1590, 19467, 741, 3527, 883, 513, 2582, 1592, 609, 1079, 3527, 269, 634, 8424, 1106, 2516, 540, 476, 275, 269, 3973, 476, 279, 269, 3767, 2445, 1169, 1895, 781, 1079, 2962, 3688, 543, 723, 513, 8917, 593, 519, 3803, 1079, 563, 294, 879, 613, 5171, 262, 9547, 609, 519, 27164, 593, 513, 4336, 689, 476, 272, 547, 476, 276, 538, 5934, 942, 11905, 912, 3201, 292, 476, 1001, 272, 267, 4856, 514, 3534, 25930, 31348, 454, 21607, 20202, 4967, 593, 519, 7450, 609, 519, 2338, 476, 272, 998, 476, 276, 593, 873, 269, 476, 272, 568, 519, 1283, 2865, 543, 1655, 267, 476, 276, 519, 9803, 543, 10782, 269, 2691, 10678, 519, 24794, 8826, 267, 2307, 707, 5171, 547, 2322, 513, 20202, 547, 519, 1297, 789, 1745, 9356, 519, 8400, 269, 634, 20202, 666, 581, 8900, 610, 723, 513, 6085, 610, 19583, 593, 621, 269, 0, 2304, 16674, 543, 12130, 992, 1511, 9186, 751, 324, 568, 513, 1614, 268, 1636, 3926, 1031, 547, 3049, 5916, 16674, 543, 9823, 6786, 547, 606, 16674, 3926, 269, 4437, 553, 1855, 324, 2337, 547, 1305, 519, 9823, 630, 17584, 14768, 610, 28696, 264, 9186, 1448, 585, 606, 16674, 5057, 1510, 23892, 824, 3334, 538, 519, 5832, 269, 634, 9186, 751, 324, 568, 899, 513, 546, 2118, 343, 518, 609, 476, 274, 16788, 11231, 538, 519, 3337, 540, 513, 4484, 570, 267, 609, 835, 2823, 8429, 1152, 1970, 4908, 630, 9823, 5365, 3738, 543, 1776, 2823, 585, 8429, 519, 16674, 5365, 267, 8754, 621, 568, 3957, 607, 9186, 751, 324, 563, 2252, 513, 5365, 9967, 540, 16674, 543, 9823, 9186, 568, 4607, 693, 519, 5916, 2823, 540, 519, 4437, 553, 1855, 324, 2676, 763, 1271, 5542, 16551, 585, 513, 9186, 751, 324, 616, 24450, 2530, 267, 1895, 8488, 6366, 1145, 267, 24450, 2530, 6366, 1145, 267, 543, 2132, 2530, 1063, 519, 1455, 2823, 543, 1164, 23151, 16788, 267, 543, 10072, 1063, 519, 9823, 543, 670, 293, 2823, 563, 4002, 713, 2985, 267, 596, 786, 1451, 519, 1739, 3877, 827, 16674, 543, 12130, 992, 1511, 4437, 553, 1855, 525, 563, 763, 2596, 2324, 6240, 3297, 519, 9186, 751, 324, 568, 267, 519, 19218, 7161, 9823, 543, 2636, 519, 8028, 5365, 547, 1780, 998, 621, 543, 519, 1802, 2758, 7161, 8028, 610, 16674, 5365, 543, 2636, 9823, 547, 1780, 998, 621, 563, 27184, 4437, 553, 751, 525, 616, 6140, 2966, 585, 6771, 11060, 5054, 609, 519, 8984, 25317, 540, 9186, 751, 324, 786, 581, 630, 2098, 271, 3738, 476, 2004, 610, 476, 4037, 19315, 916, 269, 634, 25317, 540, 519, 6074, 19218, 630, 311, 290, 264, 585, 519, 9186, 1855, 324, 786, 581, 1454, 1447, 982, 2098, 271, 267, 543, 519, 25317, 540, 519, 5697, 18364, 630, 311, 299, 264, 786, 581, 3152, 982, 2098, 271, 269, 28911, 568, 519, 16070, 4908, 538, 32494, 829, 2034, 269, 634, 2746, 766, 540, 519, 9186, 751, 324, 2115, 547, 3442, 267, 538, 971, 513, 1259, 602, 621, 786, 723, 8766, 1764, 693, 519, 9803, 4908, 563, 27184, 9186, 1855, 525, 616, 2139, 2901, 609, 16674, 28339, 899, 645, 10998, 267, 590, 7246, 4775, 610, 609, 1151, 1457, 8930, 585, 519, 9823, 3761, 269, 769, 519, 16674, 2823, 267, 5561, 786, 1205, 1082, 27296, 19383, 3681, 899, 645, 10998, 267, 590, 7246, 267, 476, 273, 269, 275, 7825, 267, 476, 273, 269, 10844, 7825, 267, 715, 15178, 267, 476, 274, 269, 276, 7825, 267, 3092, 269, 1306, 1082, 540, 4437, 553, 751, 525, 616, 2966, 540, 519, 16735, 4410, 610, 5007, 3156, 789, 616, 15004, 609, 10162, 9391, 543, 11555, 21815, 5360, 5050, 563, 289, 5362, 751, 525, 616, 1614, 268, 1636, 1419, 4216, 6438, 1071, 32681, 3334, 538, 519, 3337, 540, 968, 307, 892, 607, 519, 2012, 5267, 269, 1306, 1034, 540, 519, 3334, 991, 519, 9823, 9186, 547, 7500, 267, 4437, 553, 1855, 324, 568, 1031, 538, 519, 6771, 1899, 547, 6494, 519, 9823, 543, 5925, 6786, 936, 519, 1482, 1071, 32681, 10814, 1031, 547, 10141, 16674, 6786, 563, 17584, 7161, 616, 1031, 607, 513, 9258, 5057, 540, 4437, 553, 1855, 525, 269, 9823, 3625, 568, 1031, 547, 5094, 519, 9823, 5365, 689, 519, 4607, 16674, 5365, 799, 814, 9823, 5365, 538, 621, 563, 17584, 3625, 568, 1031, 2282, 547, 19215, 543, 1152, 20555, 519, 16674, 5365, 547, 519, 19215, 585, 519, 6771, 269, 9823, 7161, 948, 547, 2061, 519, 2095, 540, 9823, 630, 29715, 1699, 264, 998, 16674, 11387, 610, 547, 519, 19215, 563, 27184, 9186, 29225, 616, 540, 1114, 2010, 593, 519, 4493, 540, 741, 3498, 543, 10512, 7207, 563, 27184, 590, 13270, 630, 306, 16577, 4410, 264, 9186, 751, 525, 786, 723, 519, 11640, 15004, 267, 789, 666, 6023, 827, 476, 271, 269, 276, 589, 543, 7500, 909, 547, 590, 13164, 563, 21010, 528, 1242, 16674, 9186, 751, 324, 786, 723, 519, 16674, 28339, 585, 8023, 519, 16674, 5365, 543, 8930, 610, 16674, 28339, 2139, 585, 519, 9823, 4296, 563, 17584, 4437, 553, 751, 525, 616, 2966, 547, 7630, 1164, 9823, 1699, 538, 519, 2039, 540, 827, 476, 276, 2549, 1186, 883, 606, 16674, 5547, 1510, 7133, 519, 16674, 5365, 8429, 998, 519, 1292, 2619, 540, 5365, 6771, 563, 11947, 30579, 16674, 9186, 751, 525, 616, 2966, 547, 1780, 519, 1164, 9823, 28696, 538, 519, 16674, 5832, 538, 519, 2039, 540, 827, 476, 1789, 268, 1911, 309, 1510, 7133, 519, 16674, 5365, 563, 11947, 7351, 4437, 553, 751, 525, 616, 1031, 547, 7630, 513, 1164, 9823, 1699, 540, 827, 476, 1015, 268, 1789, 2549, 1186, 883, 606, 16674, 3926, 1510, 7133, 519, 16674, 5365, 6771, 563, 11947, 1379, 4437, 553, 751, 525, 616, 2966, 547, 7630, 1164, 6453, 543, 1699, 6786, 883, 606, 16674, 3926, 585, 922, 5106, 1510, 7133, 519, 16674, 5365, 6771, 563, 288, 5100, 16674, 9186, 751, 324, 568, 513, 3926, 1031, 609, 589, 3041, 294, 630, 12901, 28225, 28497, 11621, 6828, 3738, 17120, 547, 10141, 519, 5365, 909, 547, 519, 13486, 538, 19215, 1899, 3457, 630, 3201, 17762, 1040, 634, 589, 3041, 294, 17120, 786, 581, 519, 1688, 13463, 671, 267, 24646, 2173, 870, 539, 1826, 267, 610, 7471, 883, 519, 3490, 6728, 543, 4092, 2282, 519, 3490, 6728, 563, 3080, 540, 519, 6305, 3156, 540, 16674, 543, 12130, 992, 1511, 9186, 751, 525, 568, 547, 7630, 9823, 14768, 610, 28696, 883, 16674, 543, 17196, 11387, 1510, 7133, 519, 16674, 5365, 8429, 998, 519, 1292, 6771, 1899, 563, 289, 5362, 751, 525, 616, 1031, 585, 1082, 3156, 267, 1141, 519, 991, 547, 1683, 519, 16674, 5365, 543, 9823, 6453, 543, 1699, 547, 513, 6552, 3926, 941, 8572, 547, 2196, 1079, 5094, 15791, 585, 1142, 563, 26581, 7434, 10241, 540, 9186, 751, 324, 912, 27184, 4437, 553, 1855, 525, 616, 5631, 1031, 547, 1683, 519, 9823, 1379, 547, 1379, 7586, 13294, 267, 799, 616, 15841, 593, 519, 1283, 540, 519, 13486, 1141, 519, 19215, 568, 5116, 269, 589, 9186, 751, 324, 568, 1031, 547, 9192, 519, 9823, 1379, 609, 8028, 1315, 16674, 5365, 547, 1379, 6552, 7586, 13294, 610, 824, 3457, 7923, 547, 519, 19215, 799, 568, 5116, 693, 519, 8391, 1439, 540, 519, 1071, 32681, 10814, 563, 2691, 8429, 519, 16674, 543, 9823, 5365, 936, 519, 1482, 10814, 547, 519, 6552, 3457, 267, 519, 3049, 1802, 2758, 538, 519, 9186, 751, 324, 948, 547, 5838, 9823, 547, 3742, 3457, 267, 543, 519, 17527, 19218, 538, 519, 4437, 553, 1855, 324, 2337, 547, 1832, 9823, 711, 547, 8429, 998, 547, 519, 17513, 5832, 269, 634, 4835, 17527, 26534, 538, 519, 9186, 1855, 324, 11151, 3441, 547, 621, 952, 519, 9258 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 476, 9873, 2053, 519, 4320, 540, 1480, 3653, 269, 29034, 2033, 267, 513, 2518, 8337, 3154, 476, 2537, 2053, 811, 14984, 982, 2910, 273, 267, 2501, 689, 1082, 1480, 2959, 267, 855, 13184, 2272, 585, 476, 4391, 2600, 540, 922, 2698, 269, 1656, 3653, 568, 1175, 835, 540, 5779, 779, 1082, 5739, 543, 2484, 23568, 2825, 2427, 2360, 563, 299, 12083, 2504, 27499, 476, 279, 2600, 540, 519, 1158, 779, 1216, 267, 5631, 547, 11125, 622, 3662, 3049, 282, 3123, 476, 4649, 2600, 540, 2244, 11761, 543, 11159, 282, 3096, 476, 4391, 2600, 540, 782, 13851, 282, 2047, 610, 18549, 2164, 538, 476, 2004, 2600, 540, 782, 15084, 946, 282, 543, 546, 7927, 513, 3791, 540, 782, 9436, 543, 8485, 5387, 883, 2518, 15195, 7727, 563, 26244, 2358, 13184, 568, 519, 2582, 4102, 1480, 5829, 946, 540, 2244, 269, 3400, 4506, 26328, 476, 2918, 2600, 540, 519, 4672, 6954, 543, 1216, 6954, 2627, 540, 938, 4541, 267, 543, 5186, 680, 663, 547, 3049, 1346, 2831, 1821, 2293, 476, 3451, 2600, 540, 3047, 779, 27442, 1076, 2244, 269, 2353, 602, 21737, 3762, 606, 1764, 563, 763, 6167, 5359, 602, 476, 736, 2600, 540, 519, 1158, 779, 2250, 999, 543, 678, 13370, 1343, 723, 1044, 28811, 998, 936, 6588, 4506, 267, 3037, 735, 9146, 543, 11761, 269, 29133, 2504, 5012, 547, 17717, 267, 1932, 1765, 6588, 4506, 1631, 26328, 476, 3583, 2600, 540, 5892, 4104, 539, 2244, 538, 519, 8835, 3148, 563, 310, 16017, 267, 519, 1426, 6738, 547, 3049, 2831, 1223, 581, 8023, 811, 1004, 269, 1280, 1383, 267, 13184, 3548, 476, 3445, 2600, 540, 519, 772, 2529, 269, 13386, 7693, 267, 476, 3199, 2600, 540, 938, 8970, 543, 476, 3583, 2600, 540, 519, 10286, 3812, 538, 4853, 6082, 563, 5415, 267, 13184, 616, 16550, 824, 2831, 856, 269, 2060, 2249, 2530, 23960, 538, 513, 5691, 968, 338, 1460, 628, 14486, 2223, 13184, 4867, 2272, 585, 476, 736, 2600, 540, 519, 3662, 13947, 593, 519, 4541, 563, 8601, 782, 713, 267, 538, 476, 1220, 274, 267, 519, 3328, 1480, 17696, 811, 982, 476, 3445, 6550, 540, 5779, 267, 5595, 519, 2179, 476, 2004, 1296, 3516, 269, 8836, 6786, 693, 1153, 267, 960, 543, 5939, 267, 607, 1134, 607, 10229, 267, 3136, 547, 12927, 519, 5048, 602, 5779, 568, 1434, 543, 2556, 585, 1072, 269, 17164, 31791, 568, 1869, 13269, 607, 513, 535, 16206, 3903, 585, 1072, 535, 5417, 1235, 563, 306, 611, 569, 267, 2825, 3906, 2221, 10355, 15974, 20757, 11326, 269, 4634, 971, 606, 24084, 2989, 2707, 607, 519, 476, 1220, 276, 2622, 31296, 1867, 267, 19732, 1512, 2725, 1023, 281, 681, 996, 9722, 519, 6820, 29133, 12752, 267, 568, 6297, 711, 547, 12167, 513, 20757, 2732, 267, 3079, 17609, 621, 1851, 3681, 602, 1331, 4189, 1447, 5779, 267, 15175, 547, 27892, 268, 571, 2213, 267, 968, 21065, 2033, 892, 5779, 267, 543, 1904, 532, 585, 513, 1906, 1875, 24578, 520, 1303, 337, 12728, 15100, 525, 829, 3018, 269, 17164, 31791, 814, 1831, 968, 1492, 17707, 538, 519, 2713, 4055, 2223, 855, 1256, 538, 713, 1426, 23655, 2085, 267, 621, 568, 711, 3362, 1500, 519, 4099, 12328, 540, 606, 19191, 16786, 563, 28061, 15243, 5459, 693, 519, 4741, 585, 3163, 538, 519, 5398, 9314, 13187, 602, 5969, 1524, 5779, 4616, 1058, 581, 513, 1283, 1857, 1072, 10862, 269, 968, 5804, 606, 2825, 1448, 540, 2070, 267, 519, 1447, 14132, 1004, 3548, 519, 1732, 2223, 646, 3081, 267, 19696, 519, 5305, 540, 15655, 689, 13184, 543, 15663, 519, 2799, 1981, 540, 3935, 2860, 543, 2295, 2068, 563, 2691, 13859, 971, 5013, 267, 1082, 5779, 3548, 619, 2307, 267, 968, 8489, 1131, 594, 1205, 1250, 3940, 9495, 4340, 547, 519, 5767, 2564, 1382, 267, 513, 7059, 20757, 2732, 2488, 782, 519, 3940, 2877, 585, 30437, 1072, 11652, 30417, 5779, 779, 1164, 8501, 543, 15459, 3170, 563, 310, 699, 3425, 5921, 547, 3548, 5779, 267, 1175, 1317, 938, 11937, 1705, 286, 968, 301, 976, 1619, 2223, 3081, 3220, 269, 29859, 24759, 267, 513, 10629, 609, 12876, 325, 1314, 11233, 538, 9098, 543, 513, 1863, 16758, 19191, 269, 968, 763, 1480, 16063, 8778, 2934, 519, 26715, 12381, 5812, 609, 606, 24549, 5387, 2732, 3034, 10527, 1249, 602, 713, 22294, 540, 519, 1977, 2732, 11226, 543, 705, 1115, 2916, 1689, 568, 606, 2048, 514, 935, 1597, 1304, 5168, 685, 1082, 540, 721, 1810, 1406, 1616, 547, 3068, 2223, 24616, 9478, 1230, 6773, 569, 267, 17404, 540, 12098, 21158, 12139, 269, 1261, 669, 1938, 1325, 717, 648, 585, 711, 4304, 5779, 2861, 11326, 538, 1010, 4670, 543, 4758, 873, 1152, 1350, 3496, 3795, 538, 1010, 1433, 267, 1323, 769, 935, 1597, 1304, 18266, 563, 288, 476, 1220, 274, 20831, 15724, 1336, 602, 1063, 476, 275, 543, 476, 1015, 2600, 540, 519, 1977, 1004, 2697, 2933, 607, 3543, 12579, 269, 12866, 1296, 2663, 267, 1230, 6773, 569, 3081, 602, 1297, 4667, 547, 581, 8066, 11931, 563, 2108, 5804, 513, 6940, 1448, 540, 2070, 267, 1018, 779, 2731, 2877, 568, 585, 1004, 547, 1174, 519, 4296, 1063, 12051, 8105, 267, 5779, 4189, 543, 2825, 5222, 2223, 646, 1443, 2478, 269, 968, 6546, 779, 519, 1101, 1900, 3034, 297, 574, 7763, 822, 718, 328, 568, 513, 28479, 766, 2825, 5856, 1759, 538, 12876, 7615, 267, 11632, 269, 28651, 1864, 693, 8940, 12282, 574, 300, 582, 822, 718, 328, 2593, 269, 0, 32507, 19517, 1562, 616, 6878, 602, 616, 3812, 676, 11409, 543, 616, 11843, 26947, 269, 4495, 606, 4949, 517, 13847, 891, 6878, 519, 2962, 1761, 7575, 998, 519, 4949, 517, 883, 519, 12363, 7936, 1141, 789, 616, 6854, 543, 1287, 5950, 269, 901, 2337, 11409, 1780, 25372, 547, 824, 454, 32546, 3494, 17299, 4524, 568, 3361, 676, 606, 5817, 1966, 609, 1808, 2634, 11387, 543, 519, 3666, 540, 2634, 6464, 1572, 30088, 630, 16158, 13270, 1040, 1703, 616, 2947, 2634, 6464, 6862, 611, 1066, 13824, 630, 333, 648, 18090, 31058, 1070, 22515, 267, 22006, 267, 3404, 12682, 665, 514, 267, 543, 1439, 6973, 514, 269, 7439, 611, 1066, 13824, 543, 22515, 616, 519, 1034, 1455, 6464, 5532, 547, 17867, 7099, 4713, 971, 607, 4965, 543, 17299, 630, 16158, 13270, 1040, 28576, 8533, 568, 5532, 547, 519, 12257, 1062, 538, 519, 2634, 630, 16158, 13270, 1040, 1879, 513, 17522, 4523, 547, 519, 22006, 1062, 13462, 547, 2618, 2670, 543, 18624, 630, 16158, 13270, 1040, 1403, 972, 568, 1932, 1454, 22006, 538, 835, 1747, 267, 621, 666, 2014, 2618, 2670, 269, 28576, 8533, 4665, 919, 721, 630, 5719, 753, 267, 476, 1001, 272, 1040, 28576, 8533, 568, 5532, 547, 3388, 267, 10307, 267, 4720, 267, 543, 519, 2634, 630, 5719, 534, 267, 476, 1001, 272, 1040, 5395, 20561, 568, 4448, 547, 1082, 1114, 1560, 3252, 1519, 3207, 267, 12687, 6888, 267, 4189, 543, 791, 6160, 2032, 630, 16158, 13270, 1040, 12824, 3494, 602, 9402, 2634, 8647, 540, 2634, 11387, 602, 4125, 22515, 607, 513, 3114, 28034, 8309, 547, 7099, 4713, 630, 16158, 13270, 1040, 7621, 12682, 665, 514, 568, 513, 9449, 4122, 2404, 609, 27638, 543, 20418, 269, 7621, 12682, 665, 514, 4249, 513, 2565, 1909, 538, 1514, 543, 3929, 2623, 269, 7621, 12682, 665, 514, 4679, 519, 18687, 547, 4743, 31604, 543, 14221, 1282, 17173, 2621, 630, 301, 310, 308, 267, 476, 1001, 274, 1916, 2026, 1134, 607, 891, 972, 616, 849, 519, 4949, 517, 540, 519, 1591, 799, 568, 4988, 538, 24869, 514, 1352, 23411, 799, 5645, 1344, 2476, 689, 519, 1591, 1560, 543, 3946, 519, 2962, 30372, 267, 891, 616, 1507, 2110, 28377, 540, 1689, 538, 519, 5122, 5279, 540, 519, 4949, 517, 9245, 998, 23761, 540, 9357, 9055, 267, 1055, 547, 519, 1739, 11409, 27765, 27866, 998, 12363, 16181, 693, 519, 1439, 540, 519, 4949, 976, 269, 24269, 606, 2962, 1761, 568, 5293, 998, 891, 12363, 16181, 621, 13847, 513, 6464, 602, 1780, 593, 519, 2962, 1761, 593, 547, 519, 1985, 22813, 998, 519, 12363, 7735, 543, 27765, 1679, 4276, 269, 634, 6464, 602, 616, 454, 763, 3483, 540, 713, 1557, 568, 547, 2491, 519, 6127, 540, 8849, 2792, 267, 543, 519, 3310, 602, 1114, 5061, 723, 593, 713, 2792, 269, 634, 8401, 1062, 568, 1500, 909, 540, 1896, 2281, 602, 616, 1572, 11409, 267, 799, 616, 13883, 3330, 519, 6239, 32471, 748, 3590, 630, 32354, 267, 2961, 28952, 1299, 22084, 18145, 267, 476, 1001, 274, 1040, 3026, 584, 976, 17663, 540, 1614, 6127, 267, 513, 1591, 1560, 799, 568, 5219, 547, 607, 519, 1474, 320, 267, 27765, 27866, 543, 606, 4949, 517, 630, 303, 514, 601, 267, 476, 1001, 272, 1916, 2026, 606, 2962, 1761, 12599, 1524, 519, 4949, 517, 540, 519, 1095, 2106, 25443, 22813, 267, 519, 2962, 1761, 10301, 519, 4949, 517, 12363, 5348, 25443, 5738, 2873, 799, 22109, 4724, 519, 5348, 8985, 269, 1358, 1287, 5305, 30088, 883, 519, 5348, 25443, 1579, 1111, 269, 634, 30088, 2951, 998, 519, 5348, 25443, 1579, 1111, 543, 12622, 547, 14270, 663, 3766, 730, 9357, 9055, 593, 519, 2022, 27675, 25443, 22813, 9245, 269, 634, 9055, 1930, 543, 1450, 6464, 547, 4283, 519, 1591, 630, 328, 4318, 269, 9770, 1040, 3973, 9797, 9901, 9770, 13788, 519, 1591, 543, 3123, 519, 1591, 547, 1244, 6897, 1125, 269, 634, 1244, 6897, 1436, 19082, 1524, 519, 4949, 517, 543, 606, 2962, 1761, 568, 6383, 269, 634, 1184, 1287, 6238, 936, 693, 519, 4949, 517, 23525, 563, 763, 1292, 3334, 540, 519, 5348, 22663, 616, 607, 5205, 281, 634, 16547, 517, 12363, 267, 1336, 693, 519, 1439, 540, 519, 16547, 517, 267, 10596, 30088, 547, 824, 11409, 3842, 5348, 25443, 6771, 269, 14271, 25443, 26751, 2873, 2270, 30088, 1369, 519, 16547, 517, 269, 11671, 19517, 1562, 2933, 616, 3114, 3190, 12310, 602, 2951, 998, 519, 11409, 543, 19334, 13364, 593, 519, 8391, 1591, 269, 634, 30088, 616, 886, 4310, 998, 519, 5348, 25443, 1579, 1111, 12544, 3148, 1063, 519, 1079, 11409, 543, 7934, 519, 32239, 2115, 547, 3444, 547, 1118, 621, 547, 519, 8391, 1591, 269, 590, 4660, 8391, 1591, 568, 1018, 11392, 519, 30088, 543, 6238, 519, 1184, 936, 1586, 269, 634, 13364, 593, 519, 1591, 616, 3889, 602, 4309, 519, 30088, 543, 454, 14188, 547, 1250, 15938, 2069, 538, 7350, 693, 519, 1290, 680, 583, 1619, 2160, 540, 28925, 267, 594, 6591, 513, 4396, 4282, 538, 1591, 543, 7636, 7350, 267, 8790, 14037, 710, 543, 5778, 321, 5735, 269, 3733, 1719, 538, 519, 1353, 540, 519, 8647, 540, 519, 2634, 543, 267, 693, 519, 1482, 942, 267, 1250, 6161, 585, 519, 3448, 3668, 540, 1702, 540, 2101, 14715, 4713, 971, 607, 20560, 19430, 803, 547, 8831, 1250, 4081, 2866, 538, 5778, 338, 31190, 693, 519, 966, 308, 2160, 24545, 267, 1141, 594, 28322, 540, 513, 3810, 3486, 543, 6457, 1302, 4101, 1604, 269, 9603, 547, 1250, 7589, 538, 3875, 29468, 267, 4760, 15731, 543, 16968, 6990, 267, 594, 723, 2919, 513, 2178, 454, 763, 8401, 1062, 13333, 1210, 606, 6850, 23755, 1184, 630, 5408, 11473, 1849, 760, 281, 634, 5082, 10635, 8707, 11059, 540, 519, 3026, 584, 517, 1040, 1323, 5122, 5279, 7575, 998, 519, 22813, 3294, 543, 6464, 616, 1031, 547, 10141, 1344, 1063, 11409, 269, 10738, 519, 22813, 267, 950, 513, 5365, 568, 4607, 676, 519, 27765, 27866, 267, 568, 621, 10299, 547, 519, 1474, 320, 538, 519, 1106, 540, 606, 5122, 5365, 267, 543, 267, 952, 519, 5365, 568, 2178, 2614, 267, 621, 949, 1287, 581, 5293, 593, 547, 519, 4949, 517, 543, 1287, 547, 519, 12363, 16181, 269, 1403, 519, 5365, 10301, 519, 12363, 16181, 267, 789, 616, 1129, 4705, 547, 12520, 6464, 1634, 607, 30088, 267, 799, 5968, 609, 824, 11409, 2066, 519, 5624, 1063, 519, 2281, 267, 1634, 607, 5348, 22663, 563, 288, 32239, 568, 513, 3114, 28034, 602, 12599, 2066, 519, 5348, 8985, 1063, 513, 22813, 543, 1776, 22813, 267, 4887, 6775, 267, 610, 14189, 269, 26268, 821, 568, 513, 3114, 28034, 540, 519, 25012, 1062, 602, 568, 5950, 676, 513, 14189, 610, 1418, 543, 12599, 998, 519, 1973, 269, 11671, 19517, 614, 543, 9449, 1312, 5635, 1317, 789, 1312, 616, 3114, 28034, 267, 1312, 6464, 616, 5950, 689, 8043, 883, 519, 4478, 5714, 676, 2147, 6127, 269, 1358, 1312, 960, 676, 11006, 547, 13364, 593, 3077, 2281, 269, 11671, 19517, 614, 543, 10399, 616, 1360, 1271, 1949, 267, 799, 10038, 519, 1585, 2238, 540, 519, 1560, 267, 543, 616, 8200, 593, 519, 5305, 540, 2027, 6464, 269, 5015, 267, 519, 8031, 538, 519, 6239, 32471, 748, 3590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 543, 4342, 1564, 269, 3962, 3662, 2488, 721, 609, 2189, 15144, 4162, 267, 799, 1797, 596, 723, 1082, 3681, 547, 3442, 689, 4470, 593, 707, 1788, 269, 1280, 1383, 267, 8585, 3626, 15144, 568, 1360, 2442, 1317, 621, 781, 2706, 2571, 543, 2653, 547, 960, 609, 282, 2705, 267, 824, 530, 8962, 949, 2709, 811, 15006, 610, 9403, 780, 3086, 602, 596, 917, 827, 519, 3119, 1570, 1577, 781, 1865, 930, 1898, 21688, 1154, 2553, 269, 1703, 616, 1079, 1292, 2081, 547, 5433, 281, 6632, 21688, 1154, 543, 13549, 21688, 1154, 269, 5637, 2409, 4125, 954, 24286, 15144, 11103, 998, 989, 2787, 630, 332, 8221, 873, 1472, 1070, 855, 789, 8428, 5594, 538, 741, 1184, 543, 3803, 2164, 780, 272, 269, 2878, 310, 564, 21634, 1154, 5093, 901, 1505, 3096, 3636, 12853, 344, 1216, 547, 948, 12622, 15144, 11103, 1927, 1247, 1319, 1154, 873, 1524, 269, 1635, 2482, 1359, 10690, 15144, 887, 1324, 630, 14075, 17446, 540, 3556, 539, 6775, 264, 543, 14578, 27012, 610, 12902, 621, 1063, 707, 3946, 267, 596, 2014, 11508, 543, 3002, 267, 8716, 519, 11103, 547, 9376, 1927, 269, 4495, 3819, 267, 21350, 10042, 256, 2659, 5137, 3587, 4396, 543, 19756, 269, 2060, 6632, 21688, 1154, 267, 596, 666, 1711, 3677, 3785, 899, 3774, 13793, 902, 267, 1793, 26802, 267, 610, 1256, 11435, 563, 273, 269, 2878, 23921, 548, 21634, 1154, 5093, 10261, 548, 21688, 1154, 3340, 7463, 3046, 5523, 19271, 2966, 4481, 585, 713, 3483, 269, 1452, 19271, 1450, 596, 547, 1093, 651, 543, 512, 4120, 15144, 11103, 1927, 267, 2870, 513, 10053, 5958, 269, 9521, 6632, 21688, 1154, 267, 972, 781, 1100, 1216, 3238, 1934, 267, 1818, 621, 4443, 547, 960, 593, 4130, 267, 1614, 8820, 3615, 899, 19562, 1149, 267, 14446, 267, 610, 2156, 665, 1127, 269, 3807, 3314, 2141, 547, 6023, 891, 19271, 5402, 2094, 789, 666, 581, 8325, 2439, 2026, 16219, 4505, 267, 1631, 621, 781, 942, 547, 1445, 593, 834, 300, 8221, 8381, 11529, 18768, 2437, 1141, 649, 9192, 519, 5898, 540, 11308, 2609, 609, 938, 32263, 21688, 1154, 1983, 269, 5994, 13167, 513, 17681, 1305, 540, 29586, 1071, 7539, 1500, 856, 540, 30396, 21433, 2182, 6229, 6730, 10023, 2688, 27059, 5433, 3365, 2294, 269, 2107, 5310, 513, 16560, 4216, 609, 513, 19984, 30996, 1639, 609, 10347, 13549, 1922, 601, 1540, 5810, 286, 26157, 1312, 23447, 10741, 909, 9118, 7399, 585, 5876, 543, 2123, 4082, 780, 2414, 1205, 3323, 609, 707, 1378, 3001, 22386, 3785, 267, 1101, 267, 5531, 707, 7727, 1384, 265, 589, 5542, 540, 18137, 630, 324, 3052, 1421, 2840, 577, 267, 22269, 267, 25308, 994, 265, 9978, 22386, 2645, 630, 5069, 1067, 267, 17684, 323, 18182, 267, 4718, 267, 5070, 17549, 994, 265, 26741, 887, 1324, 610, 840, 1922, 601, 1206, 585, 3365, 1664, 6272, 454, 265, 21634, 1154, 19271, 610, 1569, 547, 513, 21688, 1154, 3684, 585, 3677, 3785, 454, 265, 4826, 16513, 15441, 5078, 585, 16345, 15144, 543, 3574, 7252, 692, 4415, 2259, 543, 9639, 267, 596, 786, 1020, 707, 1378, 2511, 543, 2553, 1369, 519, 7706, 540, 21688, 1154, 17960, 269, 1306, 596, 3356, 267, 2015, 19234, 609, 1585, 18137, 267, 4778, 267, 543, 5546, 547, 5963, 25793, 1662, 707, 7499, 1761, 269, 5457, 267, 23477, 3217, 942, 267, 11428, 267, 543, 6612, 910, 1454, 899, 5935, 6151, 16025, 883, 10875, 1568, 540, 1148, 1705, 585, 938, 11937, 269, 3767, 621, 781, 22400, 2490, 547, 4163, 4464, 713, 3638, 2245, 1247, 4946, 707, 4207, 6335, 256, 8414, 21688, 1154, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 25021, 8381, 11529, 18768, 616, 1141, 1004, 1118, 4190, 543, 6198, 1919, 689, 3574, 563, 268, 1358, 8415, 2027, 4485, 899, 11836, 3574, 1927, 543, 16116, 519, 1318, 4990, 540, 3574, 563, 268, 25021, 8381, 11529, 18768, 13071, 2043, 581, 19511, 543, 1118, 1919, 789, 666, 5905, 543, 946, 563, 268, 898, 779, 513, 1713, 4739, 602, 568, 1869, 4657, 543, 3478, 1256, 1732, 563, 20755, 828, 267, 609, 922, 5214, 14246, 543, 11995, 9029, 267, 814, 19832, 1004, 585, 5553, 269, 3245, 2596, 2645, 547, 6946, 11647, 267, 938, 2702, 547, 3337, 543, 9380, 713, 8465, 1570, 814, 7960, 883, 606, 1148, 1106, 1572, 968, 325, 710, 22386, 1848, 769, 713, 4062, 267, 649, 3580, 3460, 883, 519, 7706, 540, 5386, 22386, 267, 12423, 922, 1686, 267, 2409, 267, 543, 519, 9434, 9029, 540, 13167, 4487, 995, 4773, 689, 16025, 563, 1692, 22549, 3733, 8381, 11529, 17714, 23548, 534, 454, 1103, 1250, 2038, 1296, 267, 594, 740, 1819, 8384, 1250, 6264, 11985, 538, 1010, 13186, 269, 1261, 1185, 713, 6909, 13007, 585, 13167, 3574, 883, 32154, 11647, 4773, 267, 543, 594, 729, 19039, 569, 27086, 676, 621, 269, 634, 3574, 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, 601, 1154, 7457, 1559, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 21634, 1154, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 538, 513, 1507, 4884, 3957, 24442, 6807, 267, 972, 729, 513, 4190, 2025, 16222, 1572, 834, 763, 2037, 577, 5896, 8609, 1701, 5272, 1032, 267, 519, 10034, 27714, 1131, 2322, 593, 513, 6264, 1404, 547, 6318, 2724, 585, 519, 2146, 4099, 269, 901, 1032, 267, 1079, 1655, 2828, 267, 6341, 543, 5981, 267, 941, 6074, 547, 581, 3942, 327, 1343, 585, 519, 2462, 1397, 256, 1358, 7948, 1405, 7227, 547, 1451, 827, 782, 519, 3078, 1919, 3942, 327, 1343, 1205, 547, 798, 1394, 560, 720, 780, 2026, 4166, 607, 31667, 1023, 3459, 267, 6341, 543, 5981, 4362, 602, 1373, 513, 3942, 8518, 5921, 2324, 2182, 3297, 519, 10207, 547, 1118, 2386, 1169, 2773, 4682, 1055, 1510, 513, 554, 3558, 269, 4256, 1101, 4305, 729, 547, 5965, 519, 3942, 585, 1142, 957, 676, 11093, 519, 2953, 605, 1186, 267, 11647, 267, 543, 2027, 2360, 1141, 789, 20705, 269, 1358, 4121, 875, 1271, 621, 729, 547, 1174, 519, 2257, 540, 3666, 865, 602, 3388, 18423, 7123, 543, 2922, 1247, 519, 11051, 5340, 1164, 1657, 610, 2630, 519, 3942, 6989, 780, 7628, 835, 1880, 10571, 31667, 531, 267, 1945, 9589, 5949, 910, 513, 31830, 540, 2842, 6926, 342, 998, 519, 1930, 9486, 543, 16559, 519, 5402, 5116, 605, 1186, 2066, 519, 3942, 256, 7754, 10107, 267, 6341, 15422, 1565, 827, 2011, 2604, 3604, 16280, 8957, 13964, 543, 1185, 606, 2856, 269, 11554, 1927, 267, 789, 8118, 811, 9486, 1472, 519, 16222, 547, 3160, 1125, 519, 2011, 2604, 3330, 543, 3544, 269, 2060, 8323, 267, 789, 14478, 607, 519, 4412, 14784, 12306, 1524, 267, 13059, 547, 922, 1697, 1747, 1107, 782, 7064, 547, 741, 2656, 3206, 543, 1620, 540, 2596, 2257, 3741, 2439, 3719, 1287, 267, 1776, 4161, 4843, 3294, 282, 17500, 3728, 2242, 941, 2556, 1063, 6411, 269, 6884, 267, 3003, 5036, 2877, 547, 17967, 610, 8038, 2476, 13031, 1007, 8916, 9944, 269, 898, 3576, 3501, 12557, 543, 16542, 1851, 519, 3942, 327, 1343, 547, 7485, 891, 13289, 1055, 16900, 269, 769, 3257, 865, 267, 789, 6591, 3407, 1702, 827, 6323, 267, 2523, 3196, 543, 5163, 2035, 971, 607, 11508, 267, 8904, 267, 543, 13053, 781, 4031, 780, 7661, 267, 6679, 3781, 8452, 9624, 1390, 10761, 2429, 24442, 6807, 269, 1717, 267, 1100, 835, 4397, 606, 6397, 7088, 547, 5734, 4884, 1175, 1354, 1225, 1555, 1289, 256, 24581, 4764, 23953, 883, 519, 2912, 3218, 1756, 17116, 547, 25010, 519, 2898, 2680, 269, 2677, 704, 2299, 3843, 547, 4688, 519, 1554, 267, 1312, 8695, 27416, 4974, 21381, 543, 28198, 4505, 602, 3018, 269, 4635, 688, 2273, 787, 619, 543, 11655, 267, 789, 2813, 2614, 3002, 547, 2981, 1216, 20256, 1394, 883, 11517, 267, 15018, 1055, 519, 16295, 1175, 538, 942, 585, 519, 1376, 1194, 2943, 18507, 5304, 547, 12446, 780, 7212, 711, 3388, 4682, 2687, 547, 1544, 602, 10543, 267, 6341, 543, 5981, 7691, 602, 6616, 930, 2596, 3621, 2035, 5280, 873, 7753, 3875, 9465, 5185, 676, 3942, 327, 1343, 10876, 269, 9282, 25356, 267, 789, 5433, 10583, 540, 741, 7418, 2509, 1818, 519, 5993, 1404, 3811, 5103, 27644, 6381, 269, 1656, 1256, 1498, 789, 4769, 1405, 1831, 6801, 593, 3942, 267, 789, 695, 821, 29116, 3297, 519, 1225, 13935, 267, 18445, 602, 3006, 1483, 12325, 5749, 1405, 2938, 855, 5433, 538, 519, 9059, 789, 3142, 547, 1272, 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, 568, 519, 1909, 540, 513, 3942, 8518, 1282, 513, 2773, 543, 1018, 4247, 798, 789, 3335, 2347, 888, 296, 1810, 1405, 723, 2123, 2833, 547, 2671, 267, 855, 1775, 666, 2285, 596, 606, 7650, 780, 560, 720, 327, 1343, 616, 606, 1898, 851, 540, 14364, 24299, 267, 543, 789, 960, 3297, 519, 10207, 547, 2327, 3388, 8255, 12347, 1282, 513, 2773, 269, 741, 1909, 568, 547, 5965, 519, 3942, 543, 1305, 585, 519, 11051, 543, 22407, 547, 798, 741, 2816, 269, 789, 6023, 782, 3344, 540, 519, 2504, 4849, 1346, 602, 4125, 519, 4890, 2773, 780, 16341, 540, 519, 4247, 602, 3942, 327, 1343, 3335, 2347, 1331, 1384, 272, 269, 8600, 519, 3942, 281, 3942, 327, 1343, 1305, 909, 519, 2838, 605, 1186, 267, 11647, 267, 543, 824, 3937, 2877, 585, 513, 6429, 780, 273, 269, 4657, 519, 1305, 281, 3942, 327, 1343, 3533, 1847, 543, 1689, 856, 519, 1305, 543, 605, 1186, 1063, 10207, 780, 274, 269, 4259, 909, 3280, 543, 8654, 281, 789, 948, 1305, 909, 519, 3280, 543, 8654, 3937, 267, 4180, 519, 1318, 7099, 568, 1305, 585, 519, 5304, 780, 275, 269, 3001, 29278, 281, 950, 519, 3197, 1847, 827, 547, 1114, 6753, 267, 3942, 327, 1343, 1689, 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, 5149, 476, 277, 281, 17327, 26492, 538, 16520, 26888, 540, 7087, 24447, 540, 25725, 6816, 692, 7072, 692, 2026, 3936, 2401, 19525, 3262, 2066, 25725, 6816, 630, 320, 2165, 1419, 1031, 676, 7087, 9082, 547, 3277, 547, 3345, 3013, 1070, 621, 22314, 543, 19774, 2757, 2081, 540, 1272, 267, 1519, 5711, 9423, 5389, 269, 6736, 891, 2591, 267, 1082, 7111, 1977, 11031, 4797, 547, 2226, 543, 1780, 1524, 741, 2984, 998, 9275, 2262, 267, 8964, 267, 543, 12738, 269, 901, 1770, 12538, 883, 519, 3638, 13795, 540, 5711, 5389, 1369, 5339, 10070, 540, 7087, 24447, 540, 25725, 6816, 543, 7710, 875, 4207, 4589, 543, 5640, 616, 8497, 543, 26016, 1944, 891, 6386, 538, 2221, 781, 3059, 2085, 269, 1284, 786, 1865, 1585, 3344, 971, 607, 4798, 267, 3252, 267, 3029, 267, 543, 4644, 540, 5711, 3332, 538, 7087, 4529, 780, 296, 269, 21771, 538, 17327, 26492, 692, 25565, 5711, 8941, 6655, 1271, 4245, 827, 13919, 267, 3347, 267, 1686, 267, 543, 519, 2067, 1158, 269, 589, 1455, 6249, 1336, 2429, 7087, 2148, 2137, 568, 519, 1523, 540, 25872, 1063, 3425, 267, 2831, 267, 2371, 267, 543, 824, 2609, 540, 2470, 269, 1280, 3236, 267, 519, 594, 549, 638, 12251, 262, 21175, 17372, 8711, 14696, 2509, 1169, 2460, 540, 5137, 267, 10771, 10103, 543, 3666, 1851, 2713, 7919, 269, 6271, 18596, 14953, 568, 8945, 3122, 5515, 899, 595, 1195, 1774, 610, 681, 13273, 945, 18220, 30137, 7592, 543, 4196, 607, 8069, 540, 7004, 538, 17174, 7239, 269, 1452, 3197, 1419, 4001, 3407, 4245, 827, 524, 7342, 267, 13916, 267, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 606, 2500, 6293, 602, 13462, 587, 499, 528, 711, 587, 499, 1492, 9739, 540, 519, 1004, 540, 2342, 888, 1607, 2376, 26717, 909, 593, 513, 12402, 540, 2487, 9880, 547, 1413, 547, 9956, 585, 4030, 883, 4207, 6214, 267, 543, 11498, 621, 23651, 547, 519, 1974, 540, 4436, 1686, 1634, 607, 519, 968, 309, 768, 7564, 337, 345, 892, 587, 499, 1492, 1974, 1063, 476, 8687, 276, 543, 476, 7277, 279, 269, 898, 20964, 19320, 1063, 602, 1974, 543, 519, 1699, 9840, 827, 6601, 343, 527, 267, 543, 2982, 875, 6697, 2152, 616, 10630, 538, 519, 6589, 540, 3751, 3627, 2016, 676, 1614, 3056, 4436, 13915, 540, 519, 968, 309, 768, 7564, 337, 345, 892, 1974, 587, 499, 6518, 849, 1967, 1947, 6542, 519, 18111, 614, 1190, 4473, 540, 4436, 18541, 269, 1452, 2152, 1331, 281, 519, 12755, 267, 9073, 543, 10963, 540, 519, 3532, 267, 543, 741, 1198, 1312, 593, 519, 4182, 2047, 3413, 21719, 609, 873, 267, 543, 593, 1866, 282, 519, 3390, 540, 3084, 16285, 543, 922, 2078, 547, 519, 31776, 540, 6082, 282, 519, 6560, 1996, 24903, 9813, 2081, 540, 3206, 282, 519, 12270, 1899, 1063, 2556, 14207, 543, 7584, 20729, 531, 282, 519, 14196, 540, 3903, 282, 543, 519, 8914, 539, 669, 531, 823, 540, 11180, 5191, 269, 1656, 519, 19320, 789, 3715, 1063, 9956, 267, 519, 968, 309, 768, 7564, 337, 345, 892, 543, 721, 616, 607, 4051, 633, 607, 789, 616, 796, 3553, 339, 1782, 563, 1607, 1557, 3096, 1614, 24299, 547, 5750, 519, 3356, 540, 519, 5610, 540, 22407, 540, 3979, 543, 25812, 4211, 541, 11194, 16350, 538, 3318, 3703, 9956, 534, 16222, 269, 898, 13187, 602, 519, 1614, 24299, 587, 499, 5228, 476, 3192, 273, 267, 476, 2735, 279, 543, 476, 1001, 273, 587, 499, 26421, 946, 3444, 14426, 16213, 538, 2081, 602, 22113, 519, 11775, 540, 10014, 585, 3703, 22407, 540, 7990, 269, 8834, 3213, 324, 779, 476, 3192, 273, 634, 4563, 16077, 729, 588, 3042, 693, 513, 942, 950, 606, 17697, 7990, 3046, 538, 9956, 729, 538, 1747, 267, 855, 3109, 22407, 941, 3769, 538, 519, 2504, 538, 2081, 602, 18674, 8789, 7292, 11475, 269, 7843, 9346, 779, 476, 2735, 279, 19151, 543, 19201, 1031, 922, 23162, 4259, 547, 4161, 11475, 676, 9306, 3109, 11051, 538, 606, 1604, 602, 729, 5921, 547, 1397, 873, 607, 968, 9418, 1480, 7919, 6100, 634, 681, 17092, 779, 476, 1001, 273, 25840, 19332, 729, 513, 3109, 3703, 588, 1645, 540, 9956, 602, 4847, 3109, 11051, 547, 946, 741, 2686, 1200, 527, 1137, 547, 3409, 9956, 267, 1129, 16226, 519, 22407, 685, 3152, 10014, 883, 3703, 9956, 534, 16222, 563, 21982, 607, 922, 29692, 519, 476, 1001, 277, 844, 831, 1417, 523, 2456, 540, 519, 7972, 540, 1312, 9956, 543, 595, 969, 656, 525, 267, 519, 1557, 3091, 930, 4030, 883, 519, 968, 10520, 951, 531, 4296, 892, 1063, 1312, 2621, 607, 9976, 538, 8050, 543, 519, 5177, 269, 634, 2055, 621, 12651, 543, 8942, 547, 8207, 616, 2185, 19507, 281, 630, 272, 264, 1548, 616, 519, 4128, 543, 849, 519, 2640, 540, 586, 3183, 1927, 1079, 971, 15151, 19635, 4589, 267, 4171, 16999, 3095, 568, 267, 24903, 267, 519, 1249, 789, 1312, 5293, 2476, 538, 476, 14065, 277, 286, 630, 273, 264, 1548, 960, 568, 1373, 2944, 547, 11177, 891, 5830, 547, 1272, 267, 2523, 538, 3506, 1141, 267, 585, 513, 3099, 540, 4128, 267, 3332, 814, 4503, 922, 4295, 268, 22793, 4567, 267, 543, 538, 2489, 2486, 1141, 519, 27825, 3100, 547, 723, 1447, 543, 1447, 1104, 286, 630, 274, 264, 1548, 1522, 9956, 610, 595, 969, 656, 525, 581, 1767, 547, 1796, 585, 538, 741, 9757, 4529, 267, 1312, 538, 2474, 540, 519, 11964, 789, 5206, 538, 630, 527, 568, 1419, 16618, 267, 585, 3236, 267, 602, 595, 969, 656, 525, 729, 849, 513, 10564, 543, 513, 5559, 520, 626, 264, 543, 519, 3063, 2000, 3438, 776, 2418, 789, 616, 1767, 547, 10141, 286, 630, 275, 264, 1548, 568, 519, 1909, 540, 519, 3557, 538, 519, 17420, 543, 13319, 540, 519, 4182, 779, 2686, 6561, 888, 1607, 2376, 15109, 875, 9956, 779, 3751, 3231, 814, 1831, 513, 6601, 343, 527, 1404, 2066, 513, 2039, 540, 27964, 543, 2923, 267, 689, 16222, 24299, 543, 19761, 547, 1514, 2923, 269, 2060, 922, 4798, 540, 6498, 543, 771, 321, 9309, 618, 267, 540, 29384, 8728, 543, 13249, 1582, 268, 9404, 15684, 267, 3231, 568, 519, 9956, 534, 1404, 602, 814, 1044, 5828, 547, 607, 14165, 543, 21658, 585, 519, 5177, 779, 3375, 1739, 519, 476, 2537, 4873, 476, 1001, 277, 22275, 31558, 547, 4734, 519, 3864, 5742, 269, 7335, 713, 1459, 626, 3498, 540, 9956, 267, 519, 2376, 1140, 1742, 547, 9956, 607, 3294, 513, 11407, 998, 799, 2686, 2093, 267, 1312, 1483, 543, 16494, 267, 827, 6601, 343, 527, 543, 519, 9167, 616, 7858, 7007, 269, 898, 12134, 875, 666, 649, 1522, 1121, 777, 3231, 538, 713, 1459, 2796, 587, 499, 6343, 824, 10096, 543, 12583, 616, 547, 581, 6508, 689, 519, 1404, 267, 2523, 538, 3231, 779, 24815, 543, 3406, 585, 9675, 267, 610, 538, 24778, 20782, 779, 22576, 585, 543, 2132, 689, 5333, 286, 25021, 689, 513, 7156, 540, 513, 6601, 343, 527, 3231, 547, 606, 2895, 25100, 20723, 543, 1256, 3864, 3231, 267, 713, 2376, 13187, 602, 9956, 568, 8195, 513, 3135, 540, 647, 1440, 534, 1049, 4296, 543, 540, 513, 7287, 585, 2418, 540, 6568, 543, 9675, 602, 26871, 828, 622, 609, 9840, 827, 9194, 538, 2342, 563, 1103, 713, 5967, 28601, 8689, 13207, 534, 5213, 24274, 534, 267, 1071, 1922, 10133, 540, 519, 2754, 4258, 2131, 676, 808, 25717, 267, 11828, 1010, 1995, 540, 7900, 9956, 538, 2342, 543, 519, 7390, 656, 4798, 540, 2686, 3017, 267, 1893, 543, 8144, 269, 5213, 24274, 534, 859, 10280, 1010, 2754, 779, 7029, 547, 8220, 609, 9458, 11451, 269, 1261, 8952, 13059, 547, 9956, 267, 607, 1010, 16222, 6087, 519, 4687, 540, 938, 1455, 8103, 269, 898, 2636, 513, 17145, 7146, 15918, 797, 1286, 2522, 20049, 1063, 519, 11051, 543, 519, 5304, 799, 2047, 5540, 2043, 269, 901, 20049, 814, 1713, 4539, 538, 2474, 540, 8144, 543, 4287, 269, 0, 27736, 543, 5181, 476, 1556, 910, 5565, 13012, 2201, 454, 10303, 540, 519, 6285, 540, 5181, 476, 1556, 6608, 1472, 519, 1158, 4957, 741, 4914, 4507, 543, 1082, 2477, 262, 3354, 4229, 1500, 8165, 18483, 741, 1297, 835, 3804, 269, 1809, 568, 476, 280, 270, 1556, 1869, 2348, 606, 1198, 538, 1762, 1004, 781, 4948, 2729, 888, 17445, 569, 1310, 519, 6285, 593, 5181, 476, 1556, 476, 1220, 272, 930, 12356, 538, 5125, 941, 14126, 602, 789, 1131, 581, 5806, 3990, 1996, 1317, 540, 1018, 1185, 5949, 269, 22526, 3627, 729, 12670, 779, 30934, 585, 14579, 619, 585, 476, 2420, 1296, 269, 2701, 3081, 930, 12356, 538, 5125, 3136, 547, 1745, 13943, 1373, 1930, 827, 741, 4984, 281, 968, 296, 2743, 3237, 1360, 1419, 945, 2995, 803, 2048, 296, 2995, 1250, 1126, 610, 1453, 711, 547, 2446, 789, 616, 7332, 1453, 9957, 594, 1589, 602, 568, 513, 1360, 8909, 4090, 269, 1656, 950, 594, 2307, 267, 2048, 3963, 798, 596, 798, 602, 286, 685, 789, 2161, 2048, 11039, 267, 952, 649, 30035, 602, 649, 616, 12356, 594, 1205, 12922, 602, 1945, 786, 4755, 547, 1250, 1126, 3034, 5278, 12356, 267, 543, 1004, 945, 1413, 899, 789, 616, 540, 6259, 16350, 267, 949, 1869, 581, 7255, 827, 519, 1259, 789, 786, 581, 5701, 267, 543, 972, 4440, 814, 1044, 930, 7130, 1644, 547, 519, 5181, 476, 1556, 6285, 267, 855, 713, 814, 711, 1044, 513, 1966, 10876, 538, 5125, 563, 763, 968, 292, 3149, 320, 29967, 9335, 15272, 10418, 892, 568, 2282, 519, 8998, 540, 519, 2749, 540, 595, 860, 928, 269, 898, 781, 513, 7990, 995, 2679, 1141, 3214, 689, 519, 29117, 2097, 547, 2743, 267, 1404, 11176, 543, 6486, 267, 2911, 543, 6432, 547, 2575, 563, 20442, 3398, 1142, 824, 607, 649, 616, 4840, 1428, 4458, 6040, 11709, 612, 320, 11564, 519, 8998, 782, 519, 942, 269, 2701, 3081, 519, 1114, 10764, 723, 3893, 593, 1360, 1134, 693, 519, 8998, 2094, 5181, 476, 1556, 281, 834, 2171, 723, 2760, 1185, 1022, 2042, 610, 24515, 1317, 540, 4984, 269, 594, 4076, 3893, 2828, 945, 616, 7332, 543, 789, 723, 2760, 1767, 547, 803, 2048, 2791, 666, 1406, 581, 1250, 3659, 1317, 596, 616, 7826, 9957, 1284, 3398, 1142, 824, 607, 649, 616, 4799, 2005, 568, 2182, 547, 2161, 1018, 568, 2469, 593, 538, 824, 2694, 540, 5125, 267, 610, 1256, 824, 2694, 540, 595, 860, 928, 267, 2094, 972, 616, 1100, 7194, 593, 519, 1888, 2139, 267, 855, 782, 519, 1004, 693, 519, 968, 292, 3149, 320, 29967, 9335, 15272, 8998, 892, 1767, 267, 972, 22821, 1406, 1044, 1022, 3063, 7130, 1996, 29240, 610, 12356, 1317, 540, 519, 5181, 476, 1556, 6285, 563, 2005, 568, 3020, 602, 930, 540, 519, 7332, 1453, 267, 1082, 540, 7247, 616, 540, 15349, 5169, 267, 1745, 5806, 3990, 1996, 538, 4436, 2486, 269, 2368, 1745, 519, 7128, 2523, 1521, 873, 15490, 569, 267, 855, 789, 13498, 713, 7130, 607, 811, 547, 609, 741, 22874, 543, 7965, 609, 519, 4436, 1893, 982, 7080, 545, 687, 789, 1223, 581, 9810, 1235, 269, 7756, 2042, 1644, 547, 5181, 476, 1556, 723, 2919, 693, 519, 968, 292, 3149, 320, 29967, 9335, 15272, 10418, 9731, 299, 6130, 320, 729, 849, 16304, 856, 693, 519, 8998, 269, 2701, 568, 849, 476, 1428, 269, 2701, 568, 513, 4168, 267, 899, 1200, 3993, 269, 5487, 11253, 781, 4651, 568, 7332, 269, 2701, 3081, 281, 968, 296, 917, 513, 7008, 540, 8695, 945, 1767, 602, 1018, 14642, 4821, 10822, 700, 23565, 1705, 729, 1434, 269, 594, 1810, 1406, 1589, 1018, 646, 1705, 729, 1434, 267, 855, 594, 1810, 1406, 1589, 519, 4892, 616, 1732, 269, 5637, 616, 4636, 1848, 1306, 1134, 607, 519, 1249, 602, 930, 540, 519, 1762, 1004, 693, 519, 6107, 8998, 1869, 1294, 519, 5181, 476, 1556, 6285, 607, 513, 1434, 3364, 267, 972, 568, 849, 519, 1966, 602, 930, 3494, 24242, 6436, 827, 1018, 5949, 269, 476, 1626, 4458, 6040, 667, 12447, 11099, 281, 834, 2005, 7012, 1406, 513, 7332, 602, 1705, 621, 269, 898, 729, 513, 4168, 269, 2334, 779, 782, 594, 3580, 2161, 269, 594, 666, 1152, 2161, 1018, 594, 917, 4799, 12901, 328, 12677, 610, 4550, 18191, 28779, 27742, 1419, 2196, 1524, 519, 1920, 1899, 454, 306, 629, 710, 674, 1276, 338, 568, 835, 540, 519, 6107, 4600, 693, 519, 6107, 8998, 269, 2701, 3081, 1352, 814, 14437, 513, 2603, 547, 519, 3214, 945, 723, 4550, 12677, 610, 4550, 11219, 28779, 5784, 267, 855, 602, 621, 568, 2182, 547, 13599, 873, 1317, 540, 1141, 741, 5784, 2097, 689, 538, 519, 1101, 1747, 269, 968, 2690, 519, 1034, 851, 602, 4990, 540, 3206, 2501, 689, 519, 1920, 543, 519, 1920, 779, 1686, 269, 898, 779, 2250, 1524, 998, 5481, 269, 898, 5673, 593, 1141, 3214, 8057, 909, 267, 1141, 789, 941, 4535, 267, 741, 1604, 3034, 20826, 476, 1556, 267, 476, 1220, 272, 568, 1869, 606, 1271, 2680, 585, 1082, 1762, 1004, 538, 5125, 269, 1809, 585, 519, 1762, 1004, 693, 968, 292, 3149, 320, 29967, 9335, 15272, 10418, 892, 621, 814, 711, 1044, 513, 2014, 585, 1454, 3063, 4655, 269, 2991, 782, 519, 1762, 1004, 972, 723, 6738, 909, 1927, 543, 723, 4121, 547, 3398, 1142, 1866, 685, 2528, 543, 4984, 936, 942, 269, 17610, 972, 616, 930, 2152, 602, 1869, 991, 930, 960, 269, 1809, 5310, 835, 540, 519, 9434, 2360, 540, 5181, 476, 1556, 568, 602, 1004, 3314, 875, 1271, 621, 568, 602, 649, 1832, 3384, 938, 1620, 540, 1866, 543, 519, 1158, 1472, 721, 563, 7804, 269, 7137, 526, 670, 6686, 321, 5424, 689, 519, 4436, 8549, 10837, 585, 595, 15960, 4065, 814, 1044, 2324, 593, 3785, 547, 13599, 4436, 1053, 543, 741, 3610, 827, 2152, 4478, 5181, 476, 1556, 269, 1261, 6811, 267, 602, 513, 2462, 1184, 540, 4901, 3323, 538, 4436, 2486, 267, 899, 281, 1548, 568, 2518, 18483, 286, 1215, 666, 649, 581, 4299, 676, 621, 286, 1548, 666, 649, 798, 1996, 621, 286, 1656, 5310, 519, 1034, 1271, 3364, 1018, 568, 519, 4282, 585, 891, 22681, 2238, 269, 968, 3528, 7234, 713, 1966, 824, 2427, 3584, 267, 22166, 543, 865, 593, 941, 5941, 607, 1134, 543, 649, 3893, 513, 1007, 791, 28127, 689, 713, 18483, 4901, 543, 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 ]
[ 1963, 547, 519, 5480, 540, 8771, 667, 2466, 787, 594, 630, 12898, 834, 24589, 760, 4083, 4591, 2041, 514, 1107, 1990, 22119, 582, 23364, 1775, 8665, 1148, 22438, 26338, 345, 5500, 2098, 17789, 332, 2863, 320, 8633, 10371, 1701, 676, 808, 864, 330, 15662, 375, 4157, 22603, 267, 533, 269, 476, 2537, 1040, 4591, 2041, 514, 849, 5249, 585, 14890, 23052, 6504, 4083, 267, 543, 1287, 910, 14890, 4223, 628, 5362, 269, 898, 568, 2009, 602, 667, 2466, 787, 781, 900, 1170, 2456, 8452, 849, 547, 4119, 338, 7921, 543, 31297, 538, 5125, 563, 288, 5373, 689, 19186, 636, 2549, 545, 28262, 540, 21471, 543, 4871, 518, 689, 4119, 338, 7921, 10218, 670, 664, 327, 21580, 630, 14991, 279, 268, 13932, 278, 1070, 945, 2813, 519, 4583, 865, 10777, 623, 9593, 534, 1014, 4354, 6685, 16410, 6839, 630, 303, 2174, 619, 7815, 31311, 7370, 577, 17213, 264, 585, 16099, 17722, 4083, 540, 623, 9593, 16492, 267, 568, 513, 5299, 540, 513, 7206, 676, 590, 9195, 517, 32181, 639, 345, 578, 545, 345, 18995, 519, 21200, 540, 519, 14470, 26195, 9081, 676, 17578, 541, 8771, 667, 2466, 686, 344, 594, 538, 476, 8182, 277, 630, 15463, 345, 690, 4864, 7732, 543, 23826, 2817, 7467, 1040, 7324, 519, 6272, 585, 519, 31750, 676, 31297, 575, 9529, 19431, 32021, 984, 631, 2803, 630, 300, 7238, 3464, 264, 519, 26744, 267, 945, 729, 4535, 1472, 476, 15150, 271, 543, 5030, 2394, 1472, 476, 14065, 273, 630, 12898, 834, 19425, 643, 674, 584, 717, 525, 577, 747, 974, 2677, 29246, 342, 525, 839, 2580, 11730, 476, 4792, 267, 533, 269, 476, 15647, 264, 538, 1010, 834, 297, 1168, 601, 787, 1433, 257, 630, 298, 548, 514, 617, 1329, 321, 1276, 267, 31297, 3557, 543, 2160, 7732, 264, 972, 616, 1079, 31750, 799, 18613, 519, 13862, 13269, 538, 5018, 17855, 540, 28247, 529, 5055, 639, 10001, 676, 13100, 2678, 590, 719, 2006, 267, 607, 1134, 607, 519, 31750, 7298, 538, 20840, 566, 540, 3057, 2088, 631, 23036, 14864, 538, 18293, 593, 2904, 476, 279, 267, 476, 8182, 277, 676, 590, 9195, 517, 32181, 639, 345, 578, 545, 345, 610, 1246, 518, 267, 2813, 538, 827, 476, 14065, 274, 630, 13750, 8466, 7467, 538, 18293, 1916, 2005, 568, 3622, 1517, 1882, 602, 891, 616, 6272, 585, 519, 13862, 540, 23052, 6504, 4083, 267, 2705, 519, 2949, 3337, 18613, 811, 519, 31750, 2356, 2404, 609, 6576, 630, 324, 3052, 269, 1390, 11440, 13862, 689, 476, 12293, 273, 264, 910, 519, 834, 2466, 516, 257, 568, 811, 1930, 1287, 538, 519, 23052, 6504, 781, 13862, 543, 972, 568, 513, 8608, 543, 513, 3444, 630, 6921, 984, 639, 16961, 9528, 264, 593, 519, 10167, 540, 519, 678, 15501, 543, 711, 513, 1804, 6149, 899, 538, 519, 13862, 2813, 676, 21502, 5674, 523, 269, 589, 1906, 1296, 4505, 267, 1063, 476, 14689, 274, 268, 14689, 276, 631, 2803, 2813, 1079, 12400, 585, 519, 1930, 13862, 540, 3751, 4168, 10001, 540, 16862, 9539, 528, 3118, 267, 799, 941, 849, 3769, 538, 1010, 834, 297, 1168, 601, 787, 1433, 2668, 898, 729, 267, 2705, 267, 667, 597, 747, 674, 344, 2590, 543, 4856, 9109, 1014, 639, 590, 4768, 267, 945, 1063, 476, 14689, 276, 268, 14689, 277, 1500, 519, 13862, 585, 519, 8318, 566, 540, 4168, 10001, 630, 305, 4923, 321, 3073, 16836, 1070, 18562, 519, 6272, 676, 631, 2803, 18613, 519, 3337, 540, 519, 3803, 13862, 269, 2368, 4773, 540, 9925, 749, 2044, 538, 12996, 616, 849, 11911, 547, 631, 2803, 610, 1010, 5858, 267, 899, 11058, 23598, 540, 14731, 540, 623, 9593, 16492, 630, 14991, 278, 268, 14341, 271, 1070, 2813, 538, 827, 476, 8182, 271, 630, 13233, 7467, 538, 590, 345, 322, 345, 1815, 514, 264, 610, 513, 5832, 540, 4790, 766, 540, 15212, 689, 519, 476, 8182, 271, 338, 630, 310, 1177, 601, 9576, 16836, 267, 2098, 298, 333, 310, 6261, 313, 306, 476, 15171, 274, 1070, 1247, 5595, 32567, 11440, 23914, 689, 519, 27339, 7605, 324, 540, 519, 4563, 8496, 30358, 540, 595, 345, 384, 503, 560, 5255, 16305, 849, 2813, 1472, 602, 942, 267, 949, 723, 1044, 2813, 676, 835, 540, 519, 3957, 5480, 575, 9529, 19431, 338, 585, 4790, 766, 540, 15212, 610, 3057, 2088, 631, 23036, 14864, 563, 763, 3337, 540, 519, 5018, 11440, 1202, 793, 807, 609, 513, 4130, 13862, 693, 519, 1283, 568, 849, 2147, 547, 519, 7167, 689, 519, 9835, 5590, 540, 17578, 541, 7812, 594, 267, 2813, 676, 18293, 918, 8145, 4802, 11925, 538, 476, 14341, 278, 269, 898, 568, 849, 2009, 602, 519, 4130, 13862, 538, 519, 834, 297, 1168, 601, 787, 1433, 257, 568, 711, 513, 14583, 267, 855, 519, 1202, 793, 807, 5497, 585, 519, 8318, 566, 540, 3057, 2088, 631, 23036, 14864, 563, 21545, 11681, 540, 590, 580, 1143, 1495, 8633, 966, 14505, 609, 519, 834, 528, 1304, 531, 257, 13862, 676, 9478, 1261, 842, 345, 519, 26744, 267, 1309, 269, 476, 8182, 275, 267, 1325, 974, 18237, 752, 6139, 330, 538, 22540, 563, 24058, 1436, 540, 519, 834, 528, 1304, 531, 257, 13862, 540, 590, 580, 1143, 1495, 8633, 966, 14505, 676, 3967, 21502, 5674, 523, 630, 3430, 30744, 547, 1070, 1309, 269, 476, 8182, 275, 267, 9736, 16205, 514, 4678, 6390, 563, 21545, 11681, 540, 28247, 529, 5055, 639, 10001, 966, 14505, 609, 519, 865, 10777, 834, 15404, 322, 990, 344, 257, 13862, 676, 13100, 2678, 590, 719, 2006, 267, 1309, 269, 476, 14321, 275, 267, 2817, 7467, 538, 32160, 563, 17637, 585, 519, 865, 10777, 834, 15404, 322, 990, 344, 257, 13862, 676, 32021, 984, 631, 2803, 519, 26744, 267, 1309, 269, 476, 8182, 276, 268, 14065, 271, 267, 31297, 3557, 543, 2160, 7732, 563, 17637, 585, 519, 865, 10777, 834, 15404, 322, 990, 344, 257, 13862, 610, 519, 13862, 540, 3057, 2088, 631, 23036, 14864, 676, 32021, 984, 631, 2803, 519, 26744, 267, 1309, 269, 476, 8182, 276, 268, 14065, 271, 267, 31297, 3557, 543, 2160, 7732, 563, 289, 1258, 2763, 11861, 338, 540, 590, 580, 1143, 1495, 8633, 966, 14505, 543, 4790, 766, 540, 15212, 454, 7212, 519, 6228, 540, 10424, 11861, 338, 568, 17033, 19858, 543, 711, 9672, 676, 2959, 267, 519, 6752, 585, 971, 25447, 18810, 267, 31827, 689, 7977, 543, 15875, 5480, 538, 26285, 826, 543, 21499, 267, 579, 323, 16040, 1336, 922, 8086, 538, 519, 14421, 641, 13457, 5480, 540, 519, 23849, 553, 538, 918, 21531, 6759, 342, 543, 32160, 269, 27705, 7047, 537, 3832, 609, 10359, 540, 7916, 540, 519, 14470, 6441, 603, 10224, 1014, 20448, 689, 519, 654, 1177, 601, 16836, 267, 513, 2407, 5068, 19730, 5641, 602, 12873, 547, 938, 2395, 543, 20827, 676, 590, 580, 1143, 1495, 8633, 538, 827, 476, 8182, 275, 547, 19799, 936, 21830, 538, 519, 7187, 13617, 540, 519, 14500, 3056, 547, 519, 7354, 2209, 262, 853, 1515, 13826, 267, 25495, 602, 519, 966, 14505, 4036, 1878, 941, 4904, 609, 971, 3688, 563, 1103, 476, 14341, 275, 267, 519, 21674, 540, 918, 21531, 6759, 342, 267, 16205, 514, 590, 345, 903, 345, 330, 22603, 267, 945, 11331, 5128, 834, 1492, 1034, 21705, 22700, 540, 519, 5600, 540, 15212, 257, 543, 945, 1927, 609, 2098, 17789, 332, 2863, 631, 903, 345, 330, 22603, 4547, 519, 10348, 4790, 766, 689, 3400, 345, 547, 12996, 267, 23032, 513, 1007, 11265, 26434, 24588, 936, 519, 882, 1172, 776, 540, 12142, 12254, 529, 5055, 639, 538, 519, 654, 1177, 601, 24130, 538, 519, 2511, 540, 4936, 3046, 20529, 269, 898, 568, 519, 960, 540, 519, 10424, 4056, 16902, 990, 28839, 645, 3430, 16695, 7066, 7079, 334, 267, 519, 1482, 945, 32206, 519, 9576, 16836, 538, 32160, 267, 1500, 540, 3109, 543, 9782, 18899, 267, 575, 2830, 1532, 1258, 2763, 543, 3574, 267, 2813, 538, 519, 1296, 476, 14341, 277, 268, 14341, 280, 269, 717, 2830, 19730, 5515, 540, 519, 5345, 13370, 1235, 543, 4793, 6425, 29513, 540, 12996, 267, 1166, 21403, 519, 7484, 7637, 936, 519, 24588, 267, 941, 5641, 676, 21293, 20698, 739, 7236, 267, 3742, 538, 918, 21531, 6759, 342, 689, 1472, 476, 14341, 275, 269, 769, 519, 1032, 540, 12032, 540, 713, 960, 267, 519, 24649, 849, 10288, 513, 19772, 15224, 585, 5128, 538, 519, 26720, 2282, 519, 24588, 269, 4340, 547, 519, 4484, 689, 16205, 514, 590, 345, 903, 345, 330, 22603, 547, 1656, 337, 2763, 329, 15662, 479, 4157, 1682, 7288, 267, 513, 32588, 540, 519, 595, 2350, 578, 24130, 3848, 267, 540, 476, 736, 5130, 476, 14341, 280, 267, 713, 729, 849, 20827, 689, 7066, 7079, 334, 543, 20698, 739, 7236, 269, 634, 2203, 585, 519, 5641, 19730, 11861, 1058, 581, 11911, 547, 519, 9380, 832, 1644, 547, 7066, 7079, 334, 267, 1656, 16699, 543, 21293, 10011, 22088, 267, 9380, 832, 689, 13198, 1146, 334, 267, 3742, 538, 918, 21531, 6759, 342, 689, 827, 476, 14341, 274, 563, 2252, 11478, 267, 519, 10424, 11861, 338, 941, 17216, 1500, 538, 575, 843, 539, 19730, 267, 1175, 607, 5354, 540, 519, 2147, 1568, 12873, 538, 1082, 3864, 2477, 543, 21674, 590, 345, 903, 345, 330, 22603, 781, 11861, 269, 634, 1570, 543, 922, 7928, 4108, 19074, 267, 1131, 849, 2491, 1946, 519, 1568, 723, 711, 12873, 267, 607, 538, 2013, 540, 19730, 4677, 24112, 540, 28247, 529, 5055, 639, 10001, 781, 4677, 540, 519, 966, 8759, 3204, 807, 20066, 538, 32160, 267, 799, 616, 9672, 538, 2959, 269, 634, 12873, 19730, 18533, 540, 3751, 590, 580, 1143, 1495, 8633, 693, 519, 6241, 267, 865, 10777, 590, 580, 1143, 1495, 28758, 538, 32160, 267, 729, 849, 7620, 575, 843, 539, 563, 763, 16646, 568, 1759, 593, 10424, 17855, 10367, 609, 5053, 5888, 689, 519, 476, 14065, 271, 338, 2813, 676, 13186, 540, 5480, 18048, 32021, 984, 570, 14029, 3559, 267, 799, 941, 538, 519, 4015, 540, 519, 4436, 529, 2583, 2817, 332, 5237, 538, 715, 675, 3088, 326, 1354, 2622, 2782, 4083, 269, 5637, 2498, 580, 625, 267, 7654, 689, 9419, 787, 540, 14470, 6441, 603, 10224, 1014, 25905, 17555, 595, 1430, 2088, 4790, 766, 966, 14505, 267, 616, 3810, 1085, 3012, 673, 543, 4998, 1242, 267, 8754, 11132, 2934, 616, 1759, 593, 811, 10853, 2498, 580, 625, 540, 519, 10424, 6292, 2813, 676, 824, 5480, 26719, 563, 294, 843, 539, 19730, 11861, 540, 3751, 590, 580, 1143, 1495, 8633, 966, 14505, 267, 4571, 268, 14065, 271, 338, 547, 476, 14321, 272, 269, 23738, 16375, 16646, 676, 16205, 514, 4678, 6390, 9736, 269, 2353, 2924, 11603, 563, 294, 843, 539, 19730, 11861, 540, 10348, 4790, 766, 540, 15212, 267, 4571, 268, 14065, 271, 338, 547, 476, 14321, 272, 269, 23738, 16375, 16646, 676, 16205, 514, 4678, 6390, 9736, 269, 2353, 2924, 11603, 563, 8450, 811, 5961, 540, 27705, 11861, 338, 540, 590, 580, 1143, 1495, 8633, 966, 14505, 543, 4790, 766, 540, 15212, 593, 26964, 910, 3203, 514, 680, 543, 3203, 514, 680, 327, 889, 454, 295, 14283, 545, 20805, 656, 540, 17555, 21965, 4790, 766, 966, 14505, 454, 7468, 514, 947, 17555, 21965, 4790, 766, 966, 14505, 729, 4535, 538, 32160, 593, 4864, 476, 278, 628, 267, 476, 14065, 280, 269, 2701, 729, 519, 1152, 8250, 540, 590, 580, 1143, 1495, 8633, 966, 14505, 543, 1010, 2034, 7385, 4790, 766, 540, 15212, 602, 3470, 1221, 519, 6689, 543, 519, 21836, 540, 10424, 6292, 781, 1453, 563, 29209, 5053, 2511, 20805, 1218, 267, 899, 519, 835, 4330, 1934, 267, 1831, 1447, 6752, 762, 609, 519, 4367, 540, 519, 3943, 2511, 538, 519, 4571, 268, 14321, 271, 338, 267, 602, 19430, 28882, 2156, 665, 1127, 269, 634, 5137, 540, 519, 20805, 656, 1223, 581, 1287, 6806, 538, 519, 942, 12732, 1063, 4571, 268, 14341, 271, 338, 543, 476, 14321, 279, 950, 17555, 21965, 4790, 766, 3357, 540, 2085, 543, 3357, 883, 15896, 540, 17521, 1655, 15735, 547, 1200, 676, 519, 14618, 269, 898, 729, 849, 4440, 538, 476, 14321, 279, 602, 25905, 262, 17855, 538, 2699, 5053, 10571, 609, 1079, 4154, 20805, 1218, 729, 2813, 630, 339, 3736, 538, 519, 15875, 14500, 538, 715, 675, 3088, 326, 1916, 21914, 590, 580, 1143, 1495, 8633, 267, 5128, 513, 16805, 575, 9529, 19431, 267, 7654, 11542, 3297, 519, 635, 24128, 30118, 1738, 1982, 540, 713, 13049, 267, 4352, 621, 568, 849, 2009, 602, 621, 729, 2813, 1279, 1310, 1010, 2669, 538, 476, 14321, 273, 269, 4595, 476, 14321, 278, 267, 513, 7365, 729, 6700, 1063, 14732, 21965, 4790, 766, 543, 30544, 8176, 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 ]
[ 4311, 11519, 7741, 994, 1038, 585, 586, 538, 1535, 9792, 263, 272, 267, 1582, 11519, 19417, 910, 476, 272, 2187, 2018, 585, 1535, 538, 1535, 9792, 263, 272, 267, 1582, 11519, 12296, 910, 476, 272, 2187, 3546, 952, 1582, 11519, 14513, 318, 2897, 6831, 528, 3464, 263, 14085, 267, 30449, 3287, 267, 586, 1070, 28618, 16182, 2187, 7386, 28618, 16182, 6834, 476, 272, 692, 825, 1219, 9041, 14513, 318, 2897, 6831, 528, 3464, 4311, 267, 7173, 267, 28364, 267, 7329, 2187, 1038, 952, 711, 1582, 11519, 20777, 6831, 22741, 29223, 263, 2181, 341, 267, 28364, 2187, 2018, 2132, 8771, 454, 1038, 1535, 267, 586, 815, 28364, 8807, 1009, 267, 28364, 269, 16149, 454, 1038, 1582, 11519, 10517, 314, 344, 6012, 343, 316, 815, 14480, 613, 517, 269, 2316, 4041, 318, 290, 3036, 305, 454, 1038, 1582, 11519, 573, 314, 344, 6012, 343, 316, 815, 7329, 692, 1038, 1948, 476, 1310, 11093, 513, 23725, 528, 267, 972, 616, 2185, 2665, 6849, 721, 912, 1038, 1948, 3097, 1038, 1948, 8587, 7790, 7790, 2608, 567, 2608, 595, 2608, 567, 2608, 7790, 7790, 567, 7790, 7790, 15017, 1038, 1948, 8587, 7790, 1535, 595, 567, 7790, 1535, 7790, 567, 595, 1535, 7790, 567, 7790, 1535, 15017, 1038, 1948, 8587, 7790, 7790, 2608, 567, 7790, 7790, 7790, 567, 2608, 7790, 7790, 567, 2608, 595, 27661, 1038, 1948, 454, 1038, 1948, 8587, 7790, 910, 7158, 602, 786, 581, 7318, 454, 1038, 1948, 8587, 595, 910, 2990, 1141, 649, 5116, 513, 23725, 528, 1175, 1631, 454, 1038, 1948, 8587, 1535, 910, 11134, 2990, 585, 519, 1985, 23725, 528, 454, 1038, 1948, 8587, 2608, 910, 7158, 649, 1810, 1405, 1416, 454, 1038, 1948, 3097, 1038, 1948, 476, 952, 782, 7158, 6825, 676, 1412, 286, 262, 338, 616, 7725, 630, 2316, 4041, 318, 4629, 290, 298, 338, 264, 543, 454, 1038, 1948, 476, 2990, 1412, 343, 262, 568, 849, 513, 4224, 267, 649, 666, 1747, 519, 1985, 23725, 528, 454, 1038, 1948, 476, 693, 1412, 343, 262, 543, 3136, 3178, 23867, 10478, 454, 1038, 1948, 692, 1038, 678, 343, 272, 267, 678, 343, 273, 815, 30585, 273, 267, 476, 272, 267, 910, 272, 267, 910, 272, 3910, 1496, 271, 267, 476, 274, 267, 476, 273, 267, 476, 273, 2639, 1038, 678, 344, 272, 267, 678, 344, 273, 815, 30585, 272, 267, 910, 272, 267, 910, 273, 267, 476, 272, 3910, 1496, 273, 267, 476, 273, 267, 476, 271, 267, 476, 274, 2639, 1038, 15848, 267, 10085, 815, 30585, 272, 267, 476, 272, 267, 476, 271, 267, 476, 271, 3910, 1496, 271, 267, 476, 271, 267, 910, 272, 267, 476, 272, 6540, 1038, 689, 4351, 1104, 695, 28984, 454, 1038, 8846, 815, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 2639, 1038, 695, 28984, 5560, 1311, 687, 264, 476, 1948, 695, 4428, 1782, 519, 8846, 454, 1038, 585, 546, 538, 8846, 912, 2018, 952, 1582, 11519, 12248, 318, 549, 4242, 27456, 1515, 3287, 1341, 678, 343, 272, 314, 323, 3910, 1535, 1341, 678, 343, 273, 314, 323, 316, 13211, 14030, 30449, 12169, 1341, 678, 344, 272, 314, 323, 3910, 586, 1341, 678, 344, 273, 314, 323, 316, 4297, 2652, 476, 277, 912, 3546, 1582, 11519, 14513, 318, 2897, 6831, 528, 3464, 263, 2017, 337, 267, 30449, 3287, 1341, 15848, 314, 323, 3910, 586, 1341, 10085, 314, 323, 25818, 7329, 994, 1038, 2132, 6936, 692, 825, 1219, 9041, 20777, 29223, 4311, 267, 1535, 267, 586, 2187, 1038, 952, 1535, 2999, 476, 272, 610, 1535, 13843, 1582, 11519, 12296, 910, 476, 272, 912, 2018, 2132, 8771, 454, 1038, 952, 586, 2999, 476, 272, 610, 586, 13843, 1582, 11519, 19417, 910, 476, 272, 912, 2018, 2132, 8771, 454, 1038, 2132, 6936, 692, 825, 1219, 9041, 20777, 6831, 22741, 29223, 4311, 267, 7173, 267, 28364, 2187, 1038, 1535, 267, 586, 815, 28364, 8807, 1009, 267, 28364, 269, 16149, 454, 1038, 952, 711, 1582, 11519, 20777, 29223, 3287, 267, 586, 2187, 2018, 2132, 8771, 454, 1038, 952, 1582, 11519, 10517, 314, 344, 6012, 343, 316, 11203, 14480, 613, 517, 269, 2316, 4041, 318, 4629, 290, 298, 912, 2018, 2132, 8771, 454, 1038, 1948, 649, 1376, 645, 12396, 689, 513, 4224, 11303, 676, 476, 279, 7725, 454, 1038, 952, 7173, 568, 7183, 543, 1582, 11519, 12248, 5334, 584, 337, 318, 549, 4242, 3287, 267, 586, 264, 11203, 476, 279, 912, 2018, 2132, 8771, 454, 1038, 2132, 6936, 692, 825, 1219, 9041, 12248, 5334, 584, 337, 318, 549, 4242, 4311, 267, 1535, 267, 586, 2187, 1038, 1948, 1293, 4478, 7725, 540, 513, 2990, 454, 1038, 1293, 815, 476, 271, 454, 1038, 585, 10085, 538, 1535, 9792, 8987, 272, 267, 476, 273, 2187, 2018, 585, 15848, 538, 1535, 9792, 8987, 272, 267, 476, 273, 2187, 3546, 952, 15848, 2652, 476, 271, 543, 10085, 2652, 476, 271, 912, 7386, 3136, 454, 3546, 952, 1582, 11519, 10517, 314, 344, 266, 11276, 6012, 343, 266, 11459, 316, 2652, 14480, 613, 517, 269, 2316, 4041, 318, 4629, 290, 298, 912, 7386, 1293, 6834, 476, 272, 454, 1038, 2132, 1293, 692, 825, 1219, 9041, 12248, 318, 549, 4242, 4311, 267, 1535, 318, 9792, 267, 586, 318, 9792, 2187, 1038, 1948, 1293, 7725, 538, 513, 14328, 3148, 454, 1038, 1293, 815, 476, 271, 454, 1038, 585, 586, 538, 1535, 9792, 12169, 318, 9792, 8807, 1009, 267, 586, 318, 9792, 269, 16149, 2187, 2018, 585, 1535, 538, 1535, 9792, 3287, 318, 9792, 8807, 1009, 267, 1535, 318, 9792, 269, 16149, 2187, 3546, 952, 1535, 2999, 476, 271, 610, 1535, 13843, 1582, 11519, 12296, 610, 586, 2999, 476, 271, 610, 586, 13843, 1582, 11519, 19417, 912, 7386, 3136, 454, 3546, 952, 1582, 11519, 10517, 314, 344, 6012, 343, 316, 2652, 14480, 613, 517, 269, 2316, 4041, 318, 4629, 290, 298, 912, 7386, 1293, 6834, 476, 272, 454, 1038, 2132, 1293, 692, 825, 1219, 9041, 2897, 318, 13073, 4311, 17107, 1038, 1948, 1265, 782, 28339, 269, 28339, 616, 17981, 602, 616, 912, 1038, 1948, 476, 476, 272, 269, 4396, 4224, 454, 1038, 1948, 476, 476, 273, 269, 11105, 547, 1079, 11623, 610, 513, 4055, 543, 513, 23725, 528, 563, 13872, 1038, 28339, 815, 11713, 1038, 585, 586, 538, 1535, 9792, 263, 272, 267, 1582, 11519, 19417, 268, 272, 2187, 2018, 585, 1535, 538, 1535, 9792, 263, 272, 267, 1582, 11519, 12296, 268, 272, 2187, 3546, 952, 1582, 11519, 10517, 314, 344, 6012, 343, 316, 11203, 14480, 613, 517, 269, 2316, 4041, 318, 4629, 290, 298, 912, 7386, 3136, 454, 3546, 735, 25292, 272, 815, 14480, 613, 517, 269, 2316, 4041, 318, 290, 3036, 305, 1923, 14480, 613, 517, 269, 2316, 4041, 318, 4629, 6865, 454, 3546, 735, 25292, 273, 815, 14480, 613, 517, 269, 2316, 4041, 318, 4629, 6865, 454, 3546, 735, 272, 815, 1582, 11519, 10517, 314, 344, 6012, 343, 268, 272, 316, 1923, 1582, 11519, 10517, 314, 344, 6012, 343, 266, 272, 2639, 3546, 735, 273, 815, 1582, 11519, 10517, 314, 344, 268, 272, 6012, 343, 316, 1923, 1582, 11519, 10517, 314, 344, 266, 272, 6012, 343, 2639, 3546, 952, 735, 272, 2652, 735, 25292, 272, 610, 735, 272, 2652, 735, 25292, 273, 912, 7386, 28339, 6910, 9230, 343, 267, 586, 267, 1582, 11519, 573, 314, 344, 6012, 343, 268, 272, 3910, 1582, 11519, 573, 314, 344, 6012, 343, 266, 272, 28413, 3546, 8640, 735, 273, 2652, 735, 25292, 272, 610, 735, 273, 2652, 735, 25292, 273, 912, 7386, 28339, 6910, 9230, 343, 267, 586, 267, 1582, 11519, 573, 314, 344, 268, 272, 6012, 343, 3910, 1582, 11519, 573, 314, 344, 266, 272, 6012, 343, 8079, 2020, 1038, 1948, 519, 2596, 2856, 585, 11093, 9885, 568, 11093, 9885, 693, 27296, 454, 1038, 1948, 7158, 602, 948, 1106, 513, 17364, 3529, 538, 799, 9136, 616, 11623, 454, 1038, 1948, 543, 544, 30769, 563, 1038, 1582, 11519, 4777, 318, 2897, 318, 13073, 263, 6618, 832, 2020, 825, 1219, 9041, 4777, 318, 2897, 318, 13073, 4311, 267, 28339, 17107, 1038, 1948, 649, 946, 9769, 1922, 785, 1239, 2497, 547, 4020, 513, 17364, 3529, 454, 1038, 3193, 16182, 815, 3193, 8443, 10946, 21405, 264, 585, 4737, 538, 1582, 11519, 573, 7481, 1038, 700, 815, 1496, 328, 585, 1775, 538, 2039, 263, 271, 267, 3193, 16182, 1341, 476, 272, 264, 6540, 1038, 1219, 6449, 684, 542, 3287, 267, 586, 2187, 2018, 700, 314, 1029, 22772, 3287, 13580, 815, 6449, 22772, 12169, 2020, 1038, 1219, 6449, 22772, 3287, 2187, 2018, 952, 700, 20572, 316, 11203, 1535, 912, 3546, 700, 20572, 316, 815, 6449, 22772, 27331, 20572, 7481, 2018, 2132, 700, 20572, 6540, 1038, 689, 4351, 1104, 4351, 454, 1038, 689, 4351, 1104, 695, 28984, 692, 1038, 1219, 6449, 2897, 5091, 3233, 3287, 267, 586, 267, 7329, 272, 267, 7329, 273, 2187, 2018, 952, 6449, 22772, 263, 573, 272, 264, 2652, 6449, 22772, 263, 573, 273, 2187, 3546, 1948, 649, 1450, 1079, 610, 811, 9885, 1063, 1079, 4525, 609, 513, 13581, 454, 3546, 1948, 4960, 3097, 3546, 952, 4351, 3890, 2999, 476, 271, 269, 4905, 543, 1582, 11519, 12248, 318, 31371, 4011, 318, 13073, 3287, 267, 586, 264, 2652, 476, 271, 912, 7386, 1582, 11519, 10517, 314, 344, 6012, 343, 316, 815, 14480, 613, 517, 269, 2316, 4041, 318, 23077, 3036, 454, 2018, 3116, 912, 3546, 6449, 684, 542, 263, 573, 272, 267, 7329, 273, 994, 3546, 1582, 11519, 10517, 314, 344, 6012, 343, 316, 815, 14480, 613, 517, 269, 2316, 4041, 318, 23077, 3036, 692, 1038, 1948, 695, 4428, 1782, 585, 4351, 1145, 454, 1038, 695, 28984, 263, 6618, 832, 994, 1038, 585, 598, 333, 538, 28339, 912, 2018, 6449, 2897, 5091, 3233, 28949, 935, 333, 2020, 825, 1219, 9041, 12248, 318, 31371, 4011, 318, 13073, 4311, 267, 1535, 267, 586, 2187, 1038, 1948, 1293, 9885, 538, 7023, 7158, 454, 1038, 1293, 815, 476, 271, 454, 1038, 952, 1582, 11519, 10517, 314, 344, 268, 272, 6012, 343, 316, 2652, 14480, 613, 517, 269, 2316, 4041, 318, 23077, 3036, 912, 2018, 1293, 6834, 476, 272, 454, 1038, 952, 1582, 11519, 10517, 314, 344, 266, 272, 6012, 343, 316, 2652, 14480, 613, 517, 269, 2316, 4041, 318, 23077, 3036, 912, 2018, 1293, 6834, 476, 272, 454, 1038, 952, 1582, 11519, 10517, 314, 344, 6012, 343, 268, 272, 316, 2652, 14480, 613, 517, 269, 2316, 4041, 318, 23077, 3036, 912, 2018, 1293, 6834, 476, 272, 454, 1038, 952, 1582, 11519, 10517, 314, 344, 6012, 343, 266, 272, 316, 2652, 14480, 613, 517, 269, 2316, 4041, 318, 23077, 3036, 912, 2018, 1293, 6834, 476, 272, 454, 1038, 2132, 1293, 692, 825, 1219, 9041, 24525, 318, 1372, 611, 318, 1742, 4311, 2187, 1038, 1948, 4894, 782, 4666, 7475, 454, 1038, 585, 586, 538, 1535, 9792, 263, 272, 267, 1582, 11519, 19417, 910, 476, 272, 2187, 2018, 585, 1535, 538, 1535, 9792, 263, 272, 267, 1582, 11519, 12296, 910, 476, 272, 2187, 3546, 1582, 11519, 14513, 318, 24525, 318, 1372, 611, 318, 1742, 3287, 267, 586, 2020, 825, 1219, 9041, 14513, 318, 24525, 318, 1372, 611, 318, 1742, 4311, 267, 1535, 267, 586, 2187, 1038, 952, 711, 1582, 11519, 529, 318, 1372, 611, 318, 754, 3287, 267, 586, 2187, 2018, 2132, 454, 1038, 1582, 11519, 10517, 314, 344, 6012, 343, 316, 815, 14480, 613, 517, 269, 2316, 4041, 318, 4629, 290, 298, 454, 1038, 1582, 11519, 573, 314, 344, 6012, 343, 316, 815, 476, 271, 454, 1038, 1582, 11519, 14513, 318, 24525, 318, 1372, 611, 318, 1742, 3287, 268, 272, 267, 586, 994, 1038, 1582, 11519, 14513, 318, 24525, 318, 1372, 611, 318, 1742, 3287, 266, 272, 267, 586, 994, 1038, 1582, 11519, 14513, 318, 24525, 318, 1372, 611, 318, 1742, 3287, 267, 586, 268, 272, 994, 1038, 1582, 11519, 14513, 318, 24525, 318, 1372, 611, 318, 1742, 3287, 267, 586, 266, 272, 2020, 825, 1219, 9041, 529, 318, 1372, 611, 318, 754, 4311, 267, 1535, 267, 586, 2187, 1038, 952, 711, 1582, 11519, 20777, 29223, 3287, 267, 586, 2187, 2018, 2132, 8771, 454, 1038, 952, 1582, 11519, 10517, 314, 344, 6012, 343, 316, 11203, 14480, 613, 517, 269, 2316, 4041, 318, 290, 3036, 305, 543, 26444, 3546, 1582, 11519, 10517, 314, 344, 6012, 343, 316, 11203, 14480, 613, 517, 269, 2316, 4041, 318, 23077, 3036, 912, 2018, 2132, 8771, 454, 1038, 952, 1582, 11519, 12248, 318, 31371, 26092, 318, 2254, 318, 13702, 3287, 267, 586, 264, 11203, 476, 272, 912, 2018, 2132, 8771, 454, 1038, 2132, 6936, 692, 825, 1219, 9041, 12248, 318, 31371, 26092, 318, 2254, 318, 13702, 4311, 267, 1535 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20332, 13044, 16332, 640, 595, 26501, 269, 15544, 585, 2068, 1852, 543, 269, 634, 2013, 585, 6236, 2067, 12046, 563, 307, 646, 7740, 585, 2068, 1852, 543, 6604, 568, 896, 2799, 2604, 689, 16917, 328, 5505, 547, 11760, 20387, 269, 901, 13745, 609, 25750, 5012, 547, 23636, 12046, 269, 7849, 12046, 6035, 6793, 4027, 1996, 524, 10604, 982, 10074, 1282, 18232, 5951, 563, 8368, 540, 12937, 454, 17829, 5808, 20260, 539, 13044, 1656, 5589, 2642, 3245, 898, 5620, 7849, 16332, 640, 563, 763, 1353, 26518, 676, 512, 27462, 729, 3370, 1614, 4374, 3516, 538, 24896, 543, 9019, 12353, 1867, 630, 7825, 342, 337, 1070, 519, 8783, 3621, 17752, 540, 519, 524, 26501, 267, 543, 646, 568, 3833, 3144, 676, 513, 3381, 968, 534, 4519, 892, 2854, 676, 1743, 269, 2201, 12311, 11888, 267, 519, 721, 7740, 585, 2068, 1852, 543, 6604, 630, 7251, 322, 264, 3177, 1007, 1382, 6029, 602, 11783, 634, 524, 26501, 3081, 267, 968, 7224, 4867, 2139, 1449, 666, 28761, 3313, 952, 513, 1268, 568, 563, 1607, 1772, 5221, 968, 16352, 13044, 634, 3689, 5384, 29336, 625, 2060, 898, 31056, 24093, 2223, 5530, 3213, 563, 291, 523, 591, 630, 737, 323, 31918, 264, 2443, 2067, 12046, 729, 3670, 2053, 6793, 1282, 519, 18232, 5951, 982, 12674, 267, 2687, 547, 513, 1007, 1867, 689, 519, 579, 4732, 269, 15544, 585, 2068, 1852, 543, 6604, 630, 7251, 322, 264, 26342, 1018, 3875, 4830, 2090, 723, 1336, 936, 519, 2250, 1032, 281, 634, 2257, 593, 519, 12117, 543, 15006, 540, 2067, 12046, 568, 1631, 11566, 563, 1607, 21676, 9482, 2060, 17261, 5209, 8048, 338, 1677, 4173, 323, 16332, 640, 563, 21953, 519, 524, 26501, 5170, 547, 4363, 17666, 9993, 593, 519, 18764, 855, 711, 1346, 945, 723, 16626, 689, 524, 10604, 543, 723, 9120, 2067, 12046, 269, 28404, 31433, 2066, 519, 2197, 11338, 11716, 2067, 12046, 3274, 1317, 519, 524, 26501, 568, 24937, 621, 269, 2311, 1459, 267, 2963, 689, 795, 25296, 5577, 9469, 4915, 543, 519, 579, 4732, 563, 288, 5530, 1635, 634, 15544, 1280, 8376, 6513, 1656, 10644, 1234, 548, 1078, 2201, 13723, 31698, 2334, 563, 2467, 616, 1631, 811, 982, 476, 4792, 2929, 1004, 945, 723, 269, 15544, 585, 2068, 1852, 543, 269, 570, 646, 7740, 585, 2068, 1852, 543, 6604, 568, 896, 2799, 2604, 689, 16917, 328, 5505, 547, 11760, 20387, 563, 3719, 21733, 3931, 16332, 640, 3414, 7849, 25124, 29336, 625, 31056, 24093, 563, 2252, 1775, 723, 2067, 12046, 798, 1775, 1869, 991, 513, 524, 10604, 6669, 286, 7849, 12046, 6035, 6793, 4027, 1996, 524, 10604, 982, 10074, 1282, 18232, 5951, 269, 7849, 12046, 1996, 524, 10604, 22485, 1981, 811, 982, 10074, 1996, 18232, 14583, 267, 1007, 1353, 3081, 737, 4669, 2220, 527, 559, 267, 2451, 267, 11392, 513, 533, 325, 6500, 12674, 1996, 524, 10604, 538, 269, 0, 21766, 3081, 11452, 2693, 10299, 689, 16835, 547, 3425, 454, 763, 2622, 2657, 25944, 630, 21766, 264, 5645, 856, 513, 4745, 1353, 609, 3624, 547, 2697, 519, 8129, 540, 5046, 268, 866, 543, 538, 519, 4681, 267, 789, 723, 8815, 602, 519, 6771, 540, 519, 3644, 689, 16835, 547, 3425, 543, 824, 2831, 568, 519, 1034, 2693, 9183, 543, 602, 6811, 540, 513, 2978, 568, 968, 2169, 3153, 569, 12691, 9731, 763, 4681, 723, 2451, 1082, 2055, 796, 753, 26833, 543, 519, 2319, 814, 6069, 2417, 1382, 538, 782, 2127, 4849, 519, 2978, 13451, 8367, 607, 789, 1767, 621, 729, 711, 519, 2013, 563, 1103, 5130, 267, 513, 2319, 540, 3744, 729, 13603, 676, 519, 14959, 547, 3643, 10506, 543, 1382, 32112, 538, 18961, 7315, 267, 519, 3844, 4457, 2749, 1141, 519, 11452, 729, 1101, 4857, 267, 547, 3406, 585, 10881, 827, 519, 8129, 540, 5046, 268, 866, 563, 763, 3173, 7396, 2185, 7653, 538, 1931, 540, 10171, 585, 519, 11944, 540, 519, 11452, 3957, 16568, 17336, 268, 273, 269, 5440, 4771, 519, 1592, 540, 6771, 540, 519, 3644, 729, 998, 16835, 610, 1776, 3662, 267, 799, 789, 1767, 729, 1034, 2693, 269, 1358, 11117, 602, 1463, 3262, 689, 16835, 547, 3425, 568, 2693, 543, 849, 1705, 711, 4341, 856, 519, 7872, 540, 3262, 998, 968, 322, 1245, 7302, 664, 892, 1426, 2472, 855, 711, 968, 2169, 3153, 569, 2693, 9731, 10111, 11538, 856, 4255, 593, 16835, 7000, 602, 789, 4163, 8318, 822, 21905, 543, 267, 538, 1249, 267, 519, 14191, 3448, 540, 519, 3644, 602, 3123, 5046, 268, 866, 814, 1044, 1336, 538, 873, 269, 1717, 267, 519, 1867, 3081, 602, 968, 1492, 12105, 3845, 1063, 891, 10627, 8290, 543, 16568, 17336, 268, 273, 568, 6059, 547, 581, 1896, 5756, 267, 11021, 513, 7508, 3095, 3034, 15014, 1955, 3757, 8098, 1080, 9575, 11452, 1310, 1166, 719, 532, 3267, 476, 5400, 281, 1724, 6751, 1923, 476, 2764, 3057, 267, 476, 1708, 272, 454, 3041, 299, 4456, 5723, 4696, 1107, 11788, 10579, 1955, 3757, 16679, 814, 24016, 519, 1004, 547, 14553, 1246, 519, 590, 8008, 338, 11341, 547, 5046, 268, 866, 607, 4429, 268, 18142, 17936, 547, 6966, 4074, 8936, 2946, 547, 9031, 713, 1032, 1321, 281, 1240, 6751, 1923, 476, 2918, 2904, 267, 476, 1708, 273, 454, 268, 18310, 779, 16910, 15840, 611, 584, 10609, 777, 30231, 3587, 1158, 779, 20125, 21717, 1556, 281, 1626, 7537, 1923, 476, 2918, 2904, 267, 476, 1708, 273, 454, 268, 12866, 2048, 303, 2316, 4600, 685, 4666, 267, 476, 1240, 3354, 8387, 13676, 538, 10897, 14508, 3267, 1015, 281, 1789, 7537, 1923, 476, 2918, 2904, 267, 476, 1708, 273, 454, 268, 631, 31381, 16679, 267, 25795, 344, 600, 715, 2378, 4315, 7119, 538, 1955, 3757, 16679, 779, 10897, 14508, 4728, 3267, 6021, 281, 4391, 7537, 1923, 476, 2918, 2904, 267, 476, 1708, 273, 454, 268, 4653, 781, 9304, 5385, 3928, 538, 9031, 910, 667, 20683, 267, 16402, 267, 623, 895, 267, 3267, 5400, 281, 7871, 7537, 1923, 476, 2918, 2904, 267, 476, 1708, 273, 454, 268, 4208, 17939, 320, 1627, 600, 541, 15653, 12157, 16072, 8874, 286, 5881, 281, 2420, 6751, 1923, 476, 1839, 2904, 267, 476, 1708, 273, 454, 268, 2549, 541, 16679, 543, 631, 10095, 2701, 16554, 781, 554, 559, 13895, 645, 4811, 3381, 4422, 10194, 6187, 281, 3393, 6751, 1923, 476, 1839, 2904, 267, 476, 1708, 273, 454, 268, 2048, 303, 1177, 686, 8004, 685, 8355, 2033, 518, 22994, 8696, 781, 1007, 3381, 4422, 10194, 6349, 281, 5881, 6751, 1923, 476, 1839, 2904, 267, 476, 1708, 273, 454, 268, 12866, 1655, 9031, 328, 13334, 9055, 602, 1131, 1118, 707, 30782, 3267, 1321, 281, 2190, 6751, 1923, 476, 1428, 4455, 267, 476, 1708, 273, 454, 268, 7316, 1281, 9031, 1796, 538, 1034, 3532, 1780, 1636, 1592, 538, 476, 1708, 273, 286, 3267, 5400, 281, 4391, 6751, 1923, 476, 276, 4455, 267, 476, 1708, 273, 454, 268, 4139, 6468, 781, 4303, 910, 9031, 328, 2021, 945, 1500, 513, 1665, 11451, 256, 6021, 281, 4649, 6751, 1923, 476, 279, 3057, 267, 476, 1708, 273, 454, 268, 2048, 20812, 8455, 12512, 685, 281, 9031, 1851, 10782, 6082, 593, 661, 296, 308, 781, 22640, 3267, 4905, 281, 2420, 6751, 1923, 476, 1321, 4924, 267, 476, 1708, 273, 0, 15900, 8320, 540, 519, 6031, 538, 2296, 454, 288, 476, 14321, 275, 8144, 630, 5271, 1211, 569, 1101, 3370, 538, 476, 14341, 274, 264, 540, 4223, 515, 334, 22176, 2006, 267, 634, 681, 4084, 281, 2107, 267, 634, 5020, 540, 2871, 345, 2006, 632, 1325, 30138, 5995, 267, 3791, 7160, 630, 14321, 275, 264, 3091, 606, 4277, 17953, 593, 519, 7744, 3297, 713, 2025, 6031, 912, 24464, 11129, 547, 1118, 519, 1482, 3903, 540, 741, 2828, 267, 607, 789, 798, 324, 540, 1434, 1433, 525, 269, 1280, 741, 1838, 1149, 572, 5161, 711, 9444, 538, 519, 1390, 5886, 572, 540, 741, 1297, 267, 6862, 519, 8049, 5886, 572, 540, 741, 11006, 267, 855, 2864, 547, 723, 513, 1906, 267, 543, 1346, 1434, 543, 9516, 22439, 269, 1280, 540, 339, 550, 1307, 267, 621, 535, 4150, 628, 856, 267, 602, 1082, 2828, 616, 2864, 513, 12042, 8896, 267, 982, 513, 927, 701, 547, 3020, 11505, 281, 1280, 646, 568, 513, 3659, 547, 9039, 267, 602, 568, 513, 3659, 547, 782, 269, 7439, 616, 649, 547, 3442, 513, 3659, 585, 938, 9913, 1152, 25467, 5789, 337, 1176, 547, 6108, 519, 942, 609, 718, 267, 855, 547, 1118, 1781, 1047, 540, 971, 513, 835, 267, 607, 949, 4324, 1312, 938, 6204, 548, 267, 543, 938, 13938, 773, 281, 835, 602, 1510, 2463, 540, 1208, 2801, 1719, 267, 786, 18973, 1864, 547, 7747, 519, 10143, 840, 32383, 269, 3502, 1152, 547, 2099, 873, 21349, 1864, 267, 855, 547, 884, 820, 547, 519, 3483, 267, 547, 740, 3000, 880, 1864, 547, 519, 8343, 540, 873, 267, 543, 547, 4051, 1864, 538, 519, 3020, 1702, 540, 873, 269, 1656, 952, 646, 581, 1572, 513, 3020, 3659, 945, 267, 803, 699, 569, 856, 540, 11505, 267, 6645, 1010, 3659, 519, 21736, 5168, 1510, 9633, 532, 610, 24320, 2358, 621, 267, 711, 607, 513, 3791, 1268, 267, 855, 607, 547, 835, 267, 602, 568, 5265, 1010, 7640, 928, 267, 543, 607, 11884, 607, 952, 646, 1058, 1521, 540, 1022, 3364, 10362, 547, 5128, 267, 610, 602, 646, 5128, 324, 1131, 7287, 267, 1010, 3659, 1058, 2161, 519, 1482, 547, 1864, 267, 593, 519, 1482, 8317, 267, 540, 799, 4990, 540, 2828, 267, 602, 1286, 4471, 602, 5609, 1356, 640, 543, 10750, 5886, 572, 609, 873, 267, 1906, 616, 1631, 513, 6377, 525, 547, 13520, 1336, 267, 538, 7247, 513, 812, 949, 723, 602, 21407, 6015, 267, 543, 3003, 9547, 563, 5194, 5133, 267, 713, 835, 609, 606, 16765, 569, 3909, 6316, 267, 5526, 538, 15656, 15867, 758, 267, 19248, 4144, 777, 615, 2632, 320, 267, 610, 267, 23942, 16992, 630, 13679, 279, 2187, 3719, 646, 602, 568, 513, 3659, 547, 782, 2367, 267, 568, 513, 3659, 547, 1100, 812, 267, 543, 2547, 540, 782, 547, 5128, 269, 1280, 646, 1590, 9153, 865, 1454, 267, 602, 646, 3112, 1685, 324, 609, 718, 281, 543, 865, 8840, 9153, 609, 930, 267, 646, 568, 11967, 693, 3259, 676, 9039, 269, 4475, 267, 607, 646, 945, 1630, 16556, 646, 1185, 1100, 10546, 267, 729, 1134, 1065, 28508, 676, 932, 15714, 267, 950, 646, 4280, 1864, 267, 952, 646, 1185, 1022, 3659, 269, 1924, 646, 568, 2484, 516, 689, 513, 4390, 547, 581, 5963, 581, 325, 686, 2105, 540, 1022, 267, 945, 568, 9583, 513, 3659, 547, 782, 282, 855, 2731, 513, 3659, 547, 9039, 267, 543, 267, 679, 17759, 996, 14763, 676, 5910, 2056, 11505, 563, 4002, 519, 14669, 267, 634, 3020, 4168, 568, 513, 3659, 547, 9039, 602, 616, 14763, 547, 2696, 563, 19950, 5944, 9478, 6641, 4637, 267, 590, 697, 543, 18321, 267, 610, 2405, 14591, 593, 476, 273, 4856, 269, 476, 276, 269, 278, 630, 13679, 272, 264, 2306, 519, 8471, 2648, 540, 4906, 1880, 547, 1142, 1268, 607, 952, 547, 2057, 713, 9880, 912, 13731, 568, 865, 513, 31541, 547, 1169, 835, 267, 607, 952, 646, 941, 513, 31541, 547, 9039, 16310, 282, 543, 8754, 621, 568, 267, 602, 789, 711, 835, 569, 1767, 267, 3776, 7083, 267, 543, 938, 2696, 267, 855, 1250, 7083, 267, 543, 1250, 2696, 563, 19365, 29828, 731, 267, 589, 928, 7251, 4925, 540, 2368, 31692, 1639, 31080, 267, 12751, 569, 540, 519, 10558, 543, 519, 2776, 1027, 532, 5565, 2578, 3753, 267, 2034, 7160, 267, 4320, 476, 274, 630, 9692, 276, 264, 814, 713, 912, 10817, 545, 857, 731, 7236, 1496, 16825, 274, 1700, 15150, 271, 316, 1586, 32625, 267, 834, 2026, 646, 602, 568, 513, 3659, 547, 782, 568, 513, 3020, 3659, 547, 9039, 267, 865, 602, 799, 814, 1082, 9843, 267, 814, 538, 4641, 1100, 2212, 693, 782, 269, 589, 5564, 3363, 568, 713, 1082, 32567, 20599, 267, 799, 554, 987, 9444, 513, 2212, 585, 12058, 267, 543, 1034, 21407, 569, 1100, 12058, 585, 2229, 269, 10371, 4799, 28733, 569, 267, 834, 288, 3659, 547, 782, 568, 513, 3659, 547, 9039, 257, 814, 1044, 606, 740, 720, 538, 2296, 585, 1896, 5553, 563, 288, 2077, 13444, 593, 11505, 454, 7212, 17127, 2760, 5206, 630, 514, 5259, 264, 519, 1768, 572, 2262, 532, 834, 288, 3659, 547, 782, 568, 513, 3659, 547, 9039, 2437, 646, 4667, 547, 723, 8815, 609, 519, 18941, 269, 1261, 23607, 519, 2470, 543, 7182, 540, 11505, 538, 3883, 476, 280, 267, 3184, 476, 1015, 267, 3817, 476, 14056, 271, 1700, 14056, 272, 540, 519, 12832, 558, 5995 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2968, 513, 844, 320, 652, 528, 543, 6039, 896, 931, 592, 16653, 3780, 269, 1879, 16874, 6929, 5293, 2476, 267, 16653, 3780, 262, 19588, 4682, 676, 12560, 267, 2094, 646, 6854, 16874, 6929, 781, 9930, 710, 525, 538, 5604, 543, 4300, 1078, 519, 6845, 622, 267, 799, 4280, 1864, 547, 3398, 519, 2012, 1412, 303, 3780, 23823, 1103, 476, 9610, 267, 29849, 729, 1500, 931, 592, 543, 729, 12912, 607, 513, 694, 341, 21105, 267, 835, 540, 519, 29843, 262, 3670, 4971, 619, 267, 693, 519, 1931, 781, 5993, 31959, 593, 476, 1428, 5147, 476, 16928, 269, 2991, 4742, 19036, 1186, 1775, 340, 1203, 583, 529, 267, 29849, 3576, 519, 2012, 19332, 543, 693, 519, 6845, 622, 781, 7662, 267, 29849, 8678, 782, 519, 17308, 569, 12621, 269, 12846, 267, 519, 14544, 1185, 547, 1491, 1010, 11645, 607, 931, 592, 1360, 12517, 543, 621, 568, 10924, 602, 646, 5433, 546, 27547, 538, 1957, 1740, 543, 610, 1807, 673, 2853, 269, 1879, 29849, 9310, 13056, 755, 2088, 267, 11113, 941, 9783, 609, 519, 9843, 540, 519, 7008, 563, 2414, 2087, 1010, 610, 2218, 2259, 267, 29849, 5249, 1927, 609, 1614, 21493, 538, 5259, 543, 1776, 538, 5824, 269, 4634, 1498, 835, 540, 1010, 21493, 267, 5900, 16307, 267, 2219, 540, 588, 334, 6291, 607, 18174, 880, 267, 29849, 1131, 1831, 513, 853, 18757, 269, 9737, 1010, 5824, 16455, 674, 1258, 1729, 543, 29849, 267, 606, 1271, 2078, 7960, 543, 606, 1271, 19359, 1063, 519, 1079, 15068, 269, 29849, 568, 9277, 547, 723, 2854, 281, 834, 293, 732, 6202, 1250, 674, 1258, 1729, 267, 16382, 596, 616, 267, 1250, 1034, 6653, 2648, 543, 10508, 269, 1215, 568, 621, 1063, 596, 543, 803, 286, 594, 2648, 596, 543, 596, 616, 711, 1934, 2668, 1717, 267, 621, 568, 10924, 602, 674, 1258, 1729, 19230, 29849, 1996, 4974, 6138, 267, 3168, 1524, 593, 29849, 585, 7432, 547, 6138, 547, 9101, 519, 3586, 5751, 540, 610, 1807, 673, 2866, 269, 4329, 569, 267, 12206, 3494, 602, 7442, 3326, 517, 3780, 949, 723, 5189, 29849, 547, 853, 18757, 6138, 563, 2026, 16653, 3780, 9907, 267, 29849, 1185, 547, 1491, 936, 811, 543, 811, 11889, 11645, 543, 646, 729, 2059, 609, 13198, 857, 639, 11280, 4745, 931, 6160, 269, 2311, 835, 3781, 267, 519, 7210, 16653, 3780, 10288, 602, 519, 11344, 18533, 540, 674, 28232, 267, 799, 1185, 1044, 538, 519, 23103, 540, 519, 900, 30752, 267, 1058, 979, 547, 29849, 262, 23103, 269, 898, 568, 4080, 602, 16172, 1310, 267, 602, 646, 5828, 936, 543, 5293, 2476, 269, 29849, 2968, 3927, 6852, 14610, 540, 519, 7276, 543, 519, 6845, 622, 1131, 4166, 9886, 1864, 519, 2012, 31217, 543, 519, 2140, 6650, 1807, 267, 543, 646, 1131, 4166, 581, 18005, 11221, 607, 30716, 1057, 343, 7665, 574, 639, 269, 1717, 267, 29849, 729, 711, 2731, 4278, 2683, 547, 1491, 11440, 1379, 2094, 646, 2141, 9053, 519, 1272, 540, 513, 14544, 269, 29849, 29739, 267, 602, 13198, 857, 639, 4607, 3160, 7060, 1256, 1498, 519, 6845, 622, 4941, 1864, 547, 4341, 676, 5128, 267, 799, 729, 3833, 4686, 269, 898, 729, 1287, 519, 1101, 942, 267, 602, 7507, 729, 12199, 676, 1079, 900, 30752, 269, 898, 568, 5156, 267, 602, 519, 1079, 900, 30752, 15868, 1863, 4633, 543, 519, 1101, 1974, 540, 29849, 262, 12081, 4682, 676, 12347, 269, 1261, 729, 1256, 2111, 547, 3136, 4974, 6138, 269, 1717, 267, 519, 1434, 2053, 5293, 676, 1472, 476, 14341, 267, 950, 519, 27876, 570, 9200, 10032, 513, 1390, 851, 540, 7507, 267, 855, 1312, 900, 30752, 5249, 593, 519, 4611, 2042, 538, 1268, 563, 300, 2117, 639, 589, 675, 2993, 639, 5293, 2476, 593, 476, 1704, 15292, 476, 5197, 538, 519, 2413, 1554, 21499, 543, 646, 729, 16309, 676, 1010, 5067, 2155, 21402, 269, 1261, 729, 2141, 543, 1869, 568, 5219, 547, 607, 513, 14544, 4622, 269, 634, 14787, 4173, 617, 1014, 2899, 5206, 267, 602, 834, 2704, 821, 540, 519, 900, 30752, 267, 646, 5795, 6169, 540, 1010, 1565, 711, 676, 6071, 1913, 610, 1702, 540, 10952, 29625, 855, 676, 1010, 1025, 600, 6804, 1915, 543, 22465, 1259, 540, 1272, 8487, 4263, 586, 990, 626, 334, 267, 596, 949, 581, 5461, 538, 519, 1079, 851, 11000, 593, 29849, 589, 675, 2993, 639, 563, 7883, 547, 851, 476, 273, 540, 519, 11000, 454, 27066, 543, 4329, 7335, 912, 268, 634, 1272, 540, 29849, 589, 675, 2993, 639, 454, 268, 634, 32438, 540, 519, 14890, 29849, 589, 675, 2993, 639, 4165, 13908, 639, 454, 268, 29849, 589, 675, 2993, 639, 693, 18628, 0, 268, 589, 4871, 518, 568, 513, 8284, 945, 561, 1742, 596, 1010, 22597, 950, 519, 3141, 568, 26124, 267, 855, 6499, 621, 1394, 519, 8792, 621, 5956, 547, 4764, 563, 268, 589, 812, 3112, 581, 6899, 1510, 1010, 1378, 13170, 563, 268, 11408, 11760, 513, 13337, 269, 901, 786, 12235, 1346, 538, 6392, 1055, 741, 9856, 543, 2285, 596, 606, 4316, 547, 3479, 811, 563, 268, 11408, 798, 1318, 269, 901, 786, 11815, 1518, 930, 1004, 543, 22035, 880, 519, 1964, 563, 268, 1323, 2296, 2006, 568, 513, 1268, 945, 1281, 1919, 1317, 789, 723, 1044, 2944, 1354, 269, 1323, 1977, 568, 513, 1268, 945, 1281, 1919, 1317, 789, 10093, 1406, 1044, 2944, 1354, 563, 19688, 476, 1321, 267, 476, 1220, 278, 454, 5226, 4925, 540, 4460, 30805, 630, 8146, 276, 1107, 476, 4489, 271, 264, 16829, 676, 570, 580, 516, 5609, 23621, 11391, 334, 896, 9085, 267, 4460, 30805, 267, 7330, 267, 9293, 610, 7089, 547, 6056, 1923, 16193, 281, 17826, 1299, 9085, 267, 9293, 610, 10606, 547, 6056, 11406, 32306, 513, 19410 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 2652, 476, 2767, 912, 825, 1820, 2891, 4375, 270, 2767, 815, 476, 272, 269, 29900, 29900, 29900, 29900, 29900, 29900, 29900, 29900, 29900, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2764, 912, 825, 1820, 2891, 4375, 270, 2764, 815, 476, 272, 269, 4375, 273, 5952, 278, 16318, 5952, 278, 16318, 5952, 278, 16318, 5952, 278, 16960, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3066, 912, 825, 1820, 2891, 4375, 270, 3066, 815, 476, 272, 269, 30306, 279, 2767, 6812, 277, 18684, 8660, 277, 4649, 272, 278, 2190, 15389, 280, 4029, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1789, 912, 825, 1820, 2891, 4375, 270, 1789, 815, 476, 272, 269, 274, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4029, 912, 825, 1820, 2891, 4375, 270, 4029, 815, 476, 272, 269, 28670, 271, 5038, 276, 1626, 15782, 271, 3953, 28670, 271, 5038, 276, 1626, 15782, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3953, 912, 825, 1820, 2891, 4375, 270, 3953, 815, 476, 272, 269, 25908, 4037, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3451, 912, 825, 1820, 2891, 4375, 270, 3451, 815, 476, 272, 269, 8687, 279, 1240, 8687, 279, 1240, 8687, 279, 1240, 8687, 279, 1240, 9264, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4097, 912, 825, 1820, 2891, 4375, 270, 4097, 815, 476, 272, 269, 15704, 4962, 279, 279, 2537, 276, 3066, 30329, 278, 5038, 3583, 276, 6434, 273, 31874, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3374, 912, 825, 1820, 2891, 4375, 270, 3374, 815, 476, 272, 269, 14625, 26326, 278, 1691, 26326, 278, 1691, 26326, 278, 1691, 26326, 278, 1691, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3607, 912, 825, 1820, 2891, 4375, 270, 3607, 815, 476, 272, 269, 5400, 274, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4391, 912, 825, 1820, 2891, 4375, 270, 4391, 815, 476, 272, 269, 4962, 275, 4962, 275, 4962, 275, 4962, 275, 4962, 275, 4962, 275, 4962, 275, 4962, 275, 4962, 275, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4343, 912, 825, 1820, 2891, 4375, 270, 4343, 815, 476, 272, 269, 271, 2918, 25628, 4281, 280, 5325, 274, 6924, 275, 13975, 276, 2918, 25628, 4281, 280, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4375, 912, 825, 1820, 2891, 4375, 270, 4375, 815, 476, 272, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2412, 912, 825, 1820, 2891, 4375, 270, 2412, 815, 476, 271, 269, 280, 4037, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6078, 912, 825, 1820, 2891, 4375, 270, 6078, 815, 476, 271, 269, 4817, 272, 25546, 24423, 4198, 13199, 4817, 272, 25546, 24423, 4198, 272, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 5655, 912, 825, 1820, 2891, 4375, 270, 5655, 815, 476, 271, 269, 280, 2764, 6872, 272, 275, 2764, 6872, 272, 275, 2764, 6872, 272, 275, 2764, 6872, 272, 275, 2764, 277, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6246, 912, 825, 1820, 2891, 4375, 270, 6246, 815, 476, 271, 269, 3445, 277, 9032, 277, 278, 4510, 5908, 271, 5379, 276, 1556, 277, 2767, 3445, 277, 9032, 277, 278, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4510, 912, 825, 1820, 2891, 4375, 270, 4510, 815, 476, 271, 269, 6434, 277, 3607, 274, 277, 3607, 3607, 274, 277, 3607, 3607, 274, 277, 3607, 3607, 274, 277, 3607, 275, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3393, 912, 825, 1820, 2891, 4375, 270, 3393, 815, 476, 271, 269, 279, 5780, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 278, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 5379, 912, 825, 1820, 2891, 4375, 270, 5379, 815, 476, 271, 269, 279, 5325, 279, 2918, 5400, 277, 4817, 277, 276, 2641, 278, 4375, 9873, 275, 4097, 4281, 273, 277, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 5325, 912, 825, 1820, 2891, 4375, 270, 5325, 815, 476, 271, 269, 279, 3066, 4281, 278, 23056, 271, 5655, 4649, 274, 4489, 4366, 280, 3607, 272, 3583, 273, 272, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4366, 912, 825, 1820, 2891, 4375, 270, 4366, 815, 476, 271, 269, 279, 1321, 276, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 5392, 912, 825, 1820, 2891, 4375, 270, 5392, 815, 476, 271, 269, 278, 4817, 280, 1240, 3607, 278, 31798, 280, 4343, 278, 4037, 27944, 14225, 32146, 277, 5602, 604, 1003, 272, 2652, 476, 4375, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2004, 912, 825, 1820, 2891, 4375, 270, 2004, 815, 476, 271, 269, 4281, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 271, 912, 825, 1820, 2891, 2412, 270, 271, 815, 5606, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 272, 912, 825, 1820, 2891, 2412, 270, 272, 815, 476, 2412, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 273, 912, 825, 1820, 2891, 2412, 270, 273, 815, 476, 736, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 274, 912, 825, 1820, 2891, 2412, 270, 274, 815, 476, 1724, 269, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 3451, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 275, 912, 825, 1820, 2891, 2412, 270, 275, 815, 476, 1015, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 276, 912, 825, 1820, 2891, 2412, 270, 276, 815, 476, 279, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 277, 912, 825, 1820, 2891, 2412, 270, 277, 815, 476, 277, 269, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 5780, 278, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 278, 912, 825, 1820, 2891, 2412, 270, 278, 815, 476, 276, 269, 278, 1691, 26326, 278, 1691, 26326, 278, 1691, 26326, 278, 1691, 26326, 278, 1691, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 912, 825, 1820, 2891, 2412, 270, 279, 815, 476, 276, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 912, 825, 1820, 2891, 2412, 270, 280, 815, 476, 275, 269, 29900, 29900, 29900, 29900, 29900, 29900, 29900, 29900, 29900, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1015, 912, 825, 1820, 2891, 2412, 270, 1015, 815, 476, 275, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1556, 912, 825, 1820, 2891, 2412, 270, 1556, 815, 476, 274, 269, 277, 3607, 3607, 274, 277, 3607, 3607, 274, 277, 3607, 3607, 274, 277, 3607, 3607, 274, 277, 3607, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1321, 912, 825, 1820, 2891, 2412, 270, 1321, 815, 476, 274, 269, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1724, 912, 825, 1820, 2891, 2412, 270, 1724, 815, 476, 274, 269, 5881, 277, 280, 2537, 5881, 277, 280, 2537, 5881, 277, 280, 2537, 5881, 277, 280, 2537, 5881, 278, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1691, 912, 825, 1820, 2891, 2412, 270, 1691, 815, 476, 273, 269, 5952, 278, 16318, 5952, 278, 16318, 5952, 278, 16318, 5952, 278, 16318, 5952, 278, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1428, 912, 825, 1820, 2891, 2412, 270, 1428, 815, 476, 273, 269, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 5780, 278, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1626, 912, 825, 1820, 2891, 2412, 270, 1626, 815, 476, 273, 269, 276, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1704, 912, 825, 1820, 2891, 2412, 270, 1704, 815, 476, 273, 269, 31134, 280, 6078, 12293, 30420, 276, 6434, 20720, 29848, 14056, 5038, 278, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1240, 912, 825, 1820, 2891, 2412, 270, 1240, 815, 476, 273, 269, 19442, 19442, 19442, 19442, 19442, 19442, 19442, 19442, 19442, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 866, 912, 825, 1820, 2891, 2412, 270, 866, 815, 476, 273, 269, 10755, 28091, 14991, 8660, 275, 278, 3607, 279, 5655, 10755, 28091, 15647, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 736, 912, 825, 1820, 2891, 2412, 270, 736, 815, 476, 273, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2641, 912, 825, 1820, 2891, 2412, 270, 2641, 815, 476, 272, 269, 3445, 275, 278, 8618, 3445, 275, 278, 8618, 3445, 275, 278, 8618, 3445, 275, 278, 8618, 3445, 276, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2420, 912, 825, 1820, 2891, 2412, 270, 2420, 815, 476, 272, 269, 279, 1240, 8687, 279, 1240, 8687, 279, 1240, 8687, 279, 1240, 8687, 279, 1240, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2537, 912, 825, 1820, 2891, 2412, 270, 2537, 815, 476, 272, 269, 278, 4375, 9873, 275, 4097, 4281, 273, 2568, 279, 277, 4817, 4792, 273, 15876, 280, 1724, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2190, 912, 825, 1820, 2891, 2412, 270, 2190, 815, 476, 272, 269, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 5780, 278, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1839, 912, 825, 1820, 2891, 2412, 270, 1839, 815, 476, 272, 269, 277, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2918, 912, 825, 1820, 2891, 2412, 270, 2918, 815, 476, 272, 269, 276, 4343, 5379, 272, 276, 4343, 5379, 272, 276, 4343, 5379, 272, 276, 4343, 5379, 272, 276, 4343, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2767, 912, 825, 1820, 2891, 2412, 270, 2767, 815, 476, 272, 269, 4366, 272, 4366, 272, 4366, 272, 4366, 272, 4366, 272, 4366, 272, 4366, 272, 4366, 272, 4366, 272, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2764, 912, 825, 1820, 2891, 2412, 270, 2764, 815, 476, 272, 269, 275, 2764, 6872, 272, 275, 2764, 6872, 272, 275, 2764, 6872, 272, 275, 2764, 6872, 272, 275, 3066, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3066, 912, 825, 1820, 2891, 2412, 270, 3066, 815, 476, 272, 269, 4391, 280, 20542, 30306, 279, 2767, 6812, 277, 18684, 8660, 277, 4649, 272, 278, 2190, 5602, 604, 1003, 272, 2652, 476, 2412, 543, 1129, 2652, 26230, 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 ]
[ 519, 9343, 269, 3767, 649, 3513, 849, 723, 547, 796, 18115, 519, 1496, 307, 32390, 316, 540, 519, 3977, 883, 519, 9587, 269, 1306, 1354, 267, 1101, 782, 536, 1606, 585, 512, 284, 272, 267, 1287, 782, 536, 1606, 585, 512, 284, 273, 267, 3092, 269, 1403, 649, 5402, 12337, 519, 12045, 267, 649, 3513, 1294, 602, 519, 15243, 1014, 5119, 814, 2147, 2497, 547, 519, 2582, 1532, 2255, 2013, 267, 1175, 609, 1142, 1899, 7368, 645, 2053, 585, 1142, 540, 519, 16801, 2609, 1384, 11372, 28745, 519, 1079, 15243, 2103, 1927, 649, 1205, 519, 2407, 13506, 540, 700, 530, 25331, 6745, 269, 1142, 3693, 538, 519, 2597, 5119, 269, 7316, 5892, 630, 514, 519, 1875, 1532, 2255, 2013, 264, 649, 1185, 1384, 7617, 2306, 2698, 2631, 267, 2094, 621, 781, 3274, 2921, 519, 2530, 13506, 17223, 689, 1142, 16801, 14384, 543, 8591, 873, 909, 269, 901, 20383, 609, 938, 20932, 540, 875, 13506, 585, 513, 2898, 16801, 568, 17223, 910, 12337, 519, 13506, 585, 1142, 16801, 3693, 14384, 543, 1039, 909, 782, 519, 27080, 1496, 273, 316, 780, 2026, 1354, 267, 972, 781, 513, 15931, 1259, 547, 2769, 519, 3803, 13506, 1210, 5119, 4238, 269, 8074, 519, 2040, 2066, 782, 16801, 2609, 950, 7384, 1547, 1284, 666, 2769, 713, 607, 519, 5119, 8691, 1384, 1607, 568, 513, 1434, 1747, 547, 11291, 519, 19106, 1942, 1586, 269, 2776, 16227, 649, 4312, 2938, 602, 585, 513, 2582, 2987, 1584, 2013, 267, 519, 15243, 1014, 666, 581, 5393, 1804, 630, 314, 307, 267, 18199, 316, 2348, 827, 476, 8182, 2929, 2609, 1040, 769, 519, 16801, 2013, 267, 519, 15243, 1014, 1131, 581, 1256, 3677, 2094, 922, 3337, 568, 1496, 307, 289, 267, 18199, 22049, 609, 513, 10257, 16801, 540, 476, 3953, 267, 621, 781, 1945, 899, 476, 276, 1532, 11669, 2609, 2178, 269, 898, 781, 1434, 602, 649, 1810, 1405, 2965, 723, 547, 3180, 519, 2407, 15243, 1014, 538, 3965, 543, 723, 513, 30246, 1259, 540, 7384, 519, 13506, 780, 1012, 4437, 553, 13506, 585, 513, 16801, 692, 2690, 519, 9186, 267, 649, 723, 1384, 1877, 814, 519, 3337, 1496, 272, 267, 307, 289, 22049, 814, 519, 3337, 1496, 307, 289, 267, 307, 4940, 4475, 267, 519, 3337, 540, 568, 1496, 272, 267, 307, 3910, 607, 1354, 780, 5804, 519, 4542, 585, 7384, 962, 1384, 2171, 1205, 267, 585, 1022, 16801, 536, 1384, 3383, 267, 6466, 729, 606, 3961, 5119, 538, 519, 1100, 1532, 2255, 2013, 267, 1934, 621, 5654, 899, 713, 1384, 4415, 645, 9838, 9343, 693, 513, 942, 267, 585, 513, 2698, 540, 19505, 9343, 269, 4595, 568, 519, 1482, 607, 1354, 267, 741, 5119, 8691, 1267, 814, 713, 538, 6241, 795, 1384, 7617, 1175, 1797, 4946, 909, 519, 13506, 2360, 689, 1169, 16801, 3693, 10446, 780, 1607, 2022, 3323, 676, 7713, 602, 519, 6724, 540, 513, 4628, 268, 8588, 4494, 649, 2811, 2356, 3168, 547, 11126, 616, 519, 2597, 5119, 543, 9186, 269, 769, 1034, 2665, 713, 568, 3020, 282, 2705, 267, 538, 930, 824, 2665, 649, 2811, 2965, 5461, 538, 9070, 908, 513, 13506, 998, 1535, 910, 1419, 950, 972, 616, 811, 6106, 1354, 519, 4628, 268, 8588, 4494, 538, 2243, 780, 4131, 781, 1265, 519, 12045, 1547, 634, 5832, 4341, 1934, 568, 1384, 291, 574, 5014, 281, 568, 1496, 272, 267, 570, 316, 607, 1354, 282, 814, 570, 17016, 630, 324, 6123, 540, 586, 264, 543, 715, 11378, 630, 324, 6123, 540, 1535, 1070, 865, 922, 7516, 616, 1496, 307, 267, 715, 4940, 4475, 267, 519, 7516, 540, 616, 1496, 272, 267, 715, 316, 780, 5804, 1384, 2171, 917, 602, 1547, 4937, 1944, 713, 267, 649, 1205, 6902, 538, 824, 1913, 267, 568, 1175, 519, 2597, 5119, 654, 269, 1924, 568, 519, 12297, 1587, 540, 609, 519, 1775, 6253, 6241, 540, 654, 780, 4467, 1584, 14260, 267, 649, 666, 2769, 713, 607, 5205, 1384, 11459, 815, 5286, 31715, 5560, 344, 11053, 267, 654, 1040, 307, 7531, 26139, 267, 11291, 602, 938, 10321, 616, 6241, 10321, 269, 4475, 267, 547, 9062, 10085, 689, 519, 2451, 676, 654, 649, 723, 547, 1098, 2821, 621, 547, 513, 4737, 6152, 1101, 269, 634, 1267, 540, 713, 5119, 8691, 568, 513, 1496, 272, 267, 715, 316, 4737, 268, 19066, 267, 865, 649, 1098, 2821, 621, 1586, 547, 1205, 513, 6241, 780, 2304, 4244, 1505, 547, 12337, 713, 1131, 1098, 2821, 654, 2864, 982, 10085, 543, 1287, 23396, 519, 1931, 1384, 11459, 815, 5286, 31715, 263, 310, 11053, 267, 10085, 9239, 4322, 1079, 2409, 3132, 4010, 519, 1482, 15848, 282, 621, 781, 1271, 547, 581, 5432, 609, 891, 15361, 267, 1317, 6382, 621, 949, 581, 14845, 547, 1294, 513, 1098, 12723, 654, 950, 649, 2503, 519, 4890, 654, 689, 13506, 26398, 780, 1496, 272, 316, 1306, 6045, 538, 519, 2571, 10946, 2022, 267, 649, 5276, 1125, 519, 476, 273, 291, 5119, 654, 883, 513, 2582, 6152, 609, 24857, 2609, 1210, 930, 1935, 899, 4737, 2173, 1994, 267, 1141, 519, 715, 2609, 540, 519, 1101, 4737, 979, 1101, 267, 1287, 519, 715, 2609, 540, 519, 2034, 4737, 267, 543, 865, 593, 2394, 649, 723, 24857, 2609, 585, 782, 519, 9343, 269, 901, 568, 513, 4628, 2489, 1935, 607, 649, 666, 5276, 1125, 1022, 8820, 14249, 269, 1677, 960, 609, 15243, 2103, 267, 649, 2811, 5461, 538, 918, 11378, 267, 1100, 2339, 1141, 789, 3357, 689, 910, 789, 1223, 581, 513, 5276, 1436, 540, 513, 476, 275, 291, 5044, 269, 1306, 1279, 607, 649, 3314, 799, 3693, 856, 540, 519, 918, 14687, 547, 799, 3312, 3693, 267, 649, 3513, 581, 5386, 563, 1496, 273, 316, 769, 930, 2665, 596, 949, 5873, 827, 19011, 1645, 519, 27080, 2066, 519, 16801, 269, 589, 591, 1645, 1175, 1797, 12270, 519, 2040, 676, 645, 282, 621, 781, 513, 3586, 3815, 602, 666, 581, 19597, 730, 883, 519, 1565, 2557, 269, 0, 8794, 519, 1858, 267, 519, 4463, 568, 1336, 676, 12270, 7466, 519, 1858, 676, 519, 2040, 540, 519, 1079, 13279, 540, 519, 25671, 1355, 269, 9453, 519, 1858, 267, 519, 4463, 568, 1336, 676, 1210, 519, 25355, 14497, 282, 1318, 12730, 666, 581, 4646, 689, 519, 3267, 2859, 1109, 14872, 692, 13553, 3446, 6128, 6227, 6310, 3584, 971, 607, 8454, 267, 1840, 543, 12408, 540, 1079, 18251, 2338, 267, 543, 4015, 543, 6881, 540, 1239, 269, 4841, 616, 849, 5189, 547, 2338, 909, 547, 476, 272, 267, 1822, 543, 741, 1862, 2859, 1109, 14872, 692, 4178, 269, 10915, 2397, 2593, 4065, 918, 268, 1321, 918, 268, 1321, 15099, 692, 288, 9076, 4120, 609, 835, 1318, 5086, 814, 1100, 2027, 2012, 269, 898, 568, 1572, 513, 9076, 4120, 610, 513, 29105, 269, 7102, 2185, 21758, 3337, 568, 513, 29105, 267, 2687, 547, 4569, 1772, 8342, 269, 2859, 1109, 14872, 692, 16665, 9612, 692, 763, 4542, 568, 519, 3259, 540, 519, 24388, 2053, 519, 1858, 540, 519, 25671, 1355, 267, 799, 568, 835, 28451, 2053, 630, 320, 17070, 264, 2053, 519, 4463, 282, 519, 1858, 568, 849, 1572, 519, 3444, 22891, 1858, 269, 834, 288, 257, 543, 834, 289, 257, 616, 519, 1079, 13279, 540, 519, 25671, 1355, 269, 774, 1862, 2859, 1109, 14872, 692, 763, 1858, 540, 513, 25671, 1355, 568, 1336, 676, 14921, 519, 3328, 3259, 540, 519, 1079, 6252, 13279, 676, 519, 4463, 267, 610, 476, 272, 270, 273, 630, 321, 272, 1341, 536, 273, 264, 1535, 554, 269, 634, 4463, 568, 519, 3259, 540, 513, 1899, 8220, 835, 3490, 547, 519, 824, 693, 513, 476, 3445, 24266, 5086, 269, 2859, 1109, 14872, 692, 4178, 269, 10915, 2397, 2593, 4569, 16387, 25609, 692, 763, 2627, 1858, 540, 513, 12718, 568, 3160, 547, 519, 2040, 540, 519, 2627, 1858, 540, 519, 10580, 593, 2901, 1439, 543, 519, 2627, 1858, 540, 519, 2427, 269, 634, 2627, 1858, 540, 519, 2427, 568, 3160, 547, 519, 1587, 540, 519, 18592, 540, 519, 4963, 743, 1862, 2859, 1109, 14872, 692, 763, 4542, 585, 12719, 519, 2698, 2627, 1858, 540, 513, 18158, 568, 281, 590, 815, 630, 272, 270, 273, 264, 5522, 1341, 645, 269, 634, 2627, 1858, 540, 513, 18158, 568, 519, 2698, 2040, 540, 519, 14694, 1858, 5916, 609, 519, 1858, 540, 519, 3490, 269, 2859, 1109, 14872, 692, 16665, 9612, 0, 258, 25092, 856, 23049, 543, 14458, 476, 630, 273, 338, 336, 337, 3279, 268, 274, 6912, 321, 264, 630, 338, 336, 337, 3279, 1341, 21762, 321, 264, 2496, 259, 273, 513, 910, 1422, 6912, 21151, 536, 348, 910, 476, 274, 536, 14204, 7445, 3847, 263, 273, 1422, 6912, 21151, 348, 910, 476, 274, 1422, 6912, 15830, 4153, 2431, 264, 1422, 3847, 7268, 6912, 21151, 348, 1341, 1422, 6912, 15830, 4153, 2431, 7751, 454, 263, 273, 338, 336, 337, 3279, 265, 338, 336, 337, 3279, 9984, 274, 6912, 321, 265, 338, 336, 337, 3279, 11924, 630, 273, 338, 336, 337, 3279, 265, 6912, 321, 9984, 263, 274, 6912, 321, 265, 6912, 321, 994, 284, 259, 273, 513, 910, 476, 274, 1422, 6912, 21151, 536, 348, 1341, 476, 273, 1422, 6912, 21151, 536, 348, 910, 476, 274, 536, 14204, 259, 284, 476, 273, 513, 910, 1422, 6912, 21151, 536, 348, 910, 476, 274, 536, 259 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 562, 264, 23453, 542, 744, 3799, 264, 744, 263, 8421, 562, 264, 1546, 2280, 542, 744, 3799, 264, 744, 263, 8421, 562, 264, 0, 1012, 19809, 593, 6249, 281, 834, 15100, 30706, 13582, 5398, 12140, 476, 1001, 271, 257, 1765, 19809, 13973, 1384, 8794, 10789, 570, 3796, 31876, 281, 1109, 946, 519, 17981, 269, 18500, 4082, 6587, 4642, 6292, 476, 278, 270, 1691, 270, 1556, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 7072, 547, 10789, 570, 3796, 454, 276, 268, 273, 2271, 549, 547, 10789, 570, 3796, 32029, 4985, 547, 10789, 570, 3796, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 1103, 713, 3992, 596, 786, 960, 454, 276, 268, 273, 2271, 549, 547, 10789, 570, 3796, 32029, 769, 713, 3992, 596, 786, 960, 1635, 3054, 2060, 513, 7649, 269, 2659, 7649, 568, 12843, 1029, 269, 2142, 5423, 547, 3651, 4891, 269, 4841, 786, 723, 476, 274, 1114, 4891, 538, 891, 1614, 4245, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 273, 268, 278, 14572, 12307, 2060, 10789, 570, 3796, 32029, 454, 13981, 27010, 594, 666, 2099, 15821, 7215, 1210, 7223, 17981, 269, 1548, 798, 596, 3314, 827, 519, 13863, 4580, 2203, 286, 631, 272, 269, 274, 6993, 3503, 543, 4194, 5276, 4834, 543, 16526, 538, 835, 4756, 269, 4107, 1053, 1031, 513, 13863, 4580, 2203, 538, 595, 6573, 538, 476, 278, 628, 3446, 609, 3109, 543, 2699, 13365, 269, 1358, 960, 1175, 899, 519, 968, 2158, 892, 4773, 609, 7223, 17981, 269, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 17442, 4875, 5457, 519, 7535, 8473, 1966, 286, 3503, 519, 7215, 585, 891, 12222, 269, 3657, 891, 7215, 6697, 286, 1215, 798, 596, 917, 286, 476, 275, 338, 1341, 476, 275, 543, 476, 275, 4433, 1341, 476, 272, 264, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 31580, 570, 3796, 3807, 13772, 585, 1631, 454, 276, 268, 273, 2271, 549, 547, 10789, 570, 3796, 32029, 10789, 570, 3796, 3807, 13772, 585, 1631, 3143, 10789, 570, 3796, 2943, 256, 1684, 711, 1780, 856, 519, 7223, 17981, 2943, 269, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 276, 268, 273, 2271, 549, 547, 10789, 570, 3796, 32029, 10789, 570, 3796, 1809, 267, 1577, 779, 1451, 875, 547, 946, 7223, 17981, 269, 11334, 1336, 602, 1082, 1053, 945, 2877, 547, 946, 7223, 17981, 1131, 711, 952, 2016, 519, 3903, 269, 18859, 782, 1053, 547, 2099, 15821, 7215, 609, 7223, 17981, 693, 519, 4098, 543, 1287, 1450, 3903, 607, 789, 6961, 741, 12572, 5578, 269, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 31580, 570, 3796, 1684, 596, 917, 1018, 649, 1289, 713, 286, 634, 13080, 540, 519, 5011, 540, 713, 4009, 568, 476, 272, 269, 1548, 568, 519, 1858, 540, 519, 4009, 286, 476, 272, 476, 272, 476, 272, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 31580, 570, 3796, 1548, 616, 519, 13080, 540, 519, 5011, 540, 713, 1007, 13551, 286, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 31580, 570, 3796, 1684, 596, 917, 1018, 649, 1289, 713, 286, 1548, 616, 519, 13080, 540, 519, 5011, 540, 713, 1007, 13551, 286, 634, 3259, 540, 519, 10156, 2427, 568, 476, 272, 269, 1548, 779, 519, 3259, 540, 519, 3476, 2427, 286, 594, 1810, 1406, 917, 2901, 267, 865, 649, 2161, 621, 779, 968, 343, 6100, 1535, 476, 272, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 31580, 570, 3796, 1535, 476, 272, 1548, 568, 519, 1858, 540, 519, 13551, 286, 634, 1858, 568, 476, 272, 3287, 264, 815, 1535, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 31580, 570, 3796, 1684, 596, 917, 1018, 649, 1289, 713, 286, 1548, 616, 519, 13080, 540, 519, 5011, 540, 713, 1007, 13551, 286, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 31580, 570, 3796, 1548, 616, 519, 13080, 540, 519, 5011, 540, 713, 1007, 13551, 286, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 31580, 570, 3796, 1535, 1548, 616, 519, 13080, 540, 519, 5011, 540, 713, 1007, 13551, 286, 634, 3490, 568, 1535, 269, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 31580, 570, 3796, 1535, 1548, 616, 519, 13080, 540, 519, 5011, 540, 713, 1007, 13551, 286, 634, 3490, 568, 1535, 269, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 31580, 570, 3796, 1535, 1548, 616, 519, 13080, 540, 519, 5011, 540, 713, 1007, 13551, 286, 634, 3490, 568, 1535, 269, 634, 4463, 568, 849, 1535, 269, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 31580, 570, 3796, 1535, 1535, 1548, 568, 519, 1858, 540, 519, 13551, 286, 634, 1858, 568, 1535, 630, 343, 264, 815, 1535, 273, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 31580, 570, 3796, 1548, 568, 519, 1858, 540, 1142, 13551, 888, 272, 476, 272, 1548, 568, 519, 1858, 540, 1142, 13551, 286, 476, 272, 1535, 1535, 476, 272, 1535, 1535, 273, 1535, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 31580, 570, 3796, 1548, 568, 519, 6587, 888, 14503, 760, 621, 936, 547, 1265, 856, 910, 263, 272, 264, 910, 272, 634, 6587, 540, 476, 272, 568, 910, 272, 1280, 519, 2699, 1535, 22739, 267, 1175, 723, 1053, 1265, 519, 22739, 543, 16212, 621, 936, 547, 1265, 519, 6587, 269, 910, 8987, 343, 264, 1535, 634, 6587, 540, 1107, 343, 568, 1535, 269, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 31580, 570, 3796, 1548, 568, 519, 1858, 540, 1142, 13551, 888, 276, 268, 273, 2271, 549, 547, 10789, 570, 3796, 32029, 10789, 570, 3796, 1548, 568, 519, 1858, 540, 1142, 13551, 286, 476, 272, 910, 272, 476, 272, 1535, 910, 343, 476, 272, 1535, 674, 312, 296, 281, 910, 343, 317, 273, 568, 711, 11196, 343, 317, 273, 1070, 855, 621, 568, 519, 6587, 540, 1535, 317, 273, 269, 910, 343, 273, 1535, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 476, 2641, 692, 31580, 570, 3796, 1548, 568, 519, 6587, 888, 13014, 899, 513, 3443, 322, 820, 910, 8987, 276, 264, 476, 276, 634, 6587, 540, 1107, 8987, 276, 264, 568, 476, 276, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 31580, 570, 3796, 1548, 568, 519, 6587, 888, 2791, 3580, 16212, 585, 621, 256, 910, 263, 274, 343, 264, 910, 274, 343, 634, 6587, 540, 476, 274, 343, 568, 910, 274, 343, 269, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 2237, 606, 4082, 585, 519, 1858, 4988, 676, 519, 10789, 570, 3796, 780, 31580, 570, 3796, 22217, 1518, 454, 276, 1341, 11196, 276, 264, 476, 276, 1341, 11196, 276, 264, 815, 476, 271, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 31580, 570, 3796, 1452, 616, 4642, 8424, 454, 272, 1341, 11196, 272, 264, 815, 476, 271, 1535, 1341, 11196, 343, 264, 815, 476, 271, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 276, 268, 273, 2271, 549, 547, 10789, 570, 3796, 32029, 4675, 15533, 3962, 1268, 2115, 513, 9126, 540, 10789, 570, 3796, 10426, 856, 513, 9126, 540, 17981, 547, 1142, 2875, 269, 898, 568, 1360, 1271, 547, 2285, 782, 1053, 513, 9126, 543, 2154, 782, 1053, 547, 946, 873, 269, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 4131, 779, 1404, 609, 519, 17981, 454, 13480, 4805, 5269, 513, 13551, 609, 519, 17981, 630, 13914, 540, 513, 14328, 7535, 8473, 4700, 1548, 568, 519, 15943, 540, 707, 13551, 286, 5269, 513, 1374, 609, 4448, 17981, 269, 1548, 568, 519, 15943, 540, 707, 1374, 286, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 276, 268, 273, 2271, 549, 547, 10789, 570, 3796, 32029, 2037, 965, 7591, 2913, 779, 1205, 547, 960, 32473, 264, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 476, 3066, 692, 13014, 519, 7215, 609, 7223, 17981, 692, 31580, 570, 3796, 1215, 666, 649, 2721, 7223, 17981, 2496, 19352, 519, 7223, 17981, 2142, 5423, 547, 2671, 693, 519, 2703, 4342, 269, 476, 273, 343, 1341, 476, 276, 454, 273, 343, 273, 1107, 476, 274, 343, 1107, 476, 272, 1411, 991, 1957, 543, 15513, 269, 3767, 14424, 707, 960, 609, 707, 7649, 269, 2142, 5423, 547, 2671, 693, 519, 2703, 4342, 269, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 692, 5719, 321, 4361, 1215, 798, 7223, 17981, 2099, 15821, 7215, 286, 4208, 798, 596, 1589, 649, 946, 7223, 17981, 286, 9736, 30706, 13582, 5398, 12140, 476, 1001, 271, 0, 2162, 12719, 519, 4452, 2838, 547, 11523, 513, 14328, 11237, 692, 20412, 622, 519, 7833, 4452, 263, 514, 1840, 547, 11237, 2597, 264, 602, 786, 2014, 519, 3296, 538, 4137, 476, 272, 547, 2253, 547, 11523, 952, 519, 616, 1031, 585, 476, 2764, 1111, 2241, 12732, 780, 325, 322, 262, 284, 6110, 271, 27923, 267, 9992, 284, 278, 269, 276, 18414, 325, 322, 262, 543, 18674, 6405, 2597, 815, 5611, 18470, 270, 1111, 274, 780, 29664, 476, 272, 692, 1721, 519, 1657, 1383, 267, 649, 991, 547, 5173, 519, 1871, 540, 519, 25305, 4090, 269, 1210, 25305, 4090, 649, 666, 5173, 519, 2838, 4452, 780, 300, 13062, 284, 325, 337, 265, 296, 30819, 692, 325, 337, 284, 278, 269, 276, 18414, 6110, 271, 284, 5325, 275, 269, 4097, 533, 19561, 454, 296, 14352, 321, 327, 317, 274, 8358, 1321, 14352, 1691, 16732, 2190, 317, 274, 4297, 270, 1321, 284, 1626, 267, 12553, 514, 275, 692, 344, 568, 519, 3845, 689, 519, 9243, 7852, 547, 3665, 6775, 538, 519, 8082, 7997, 269, 9243, 7852, 786, 581, 4092, 693, 519, 4099, 540, 519, 11237, 1813, 547, 15340, 269, 4061, 267, 586, 284, 1321, 538, 692, 300, 13062, 14352, 5325, 275, 269, 4097, 265, 1626, 267, 12553, 8358, 1321, 284, 277, 4391, 267, 24423, 269, 9834, 296, 321, 23357, 454, 284, 7871, 269, 14695, 737, 2354, 269, 1111, 692, 1492, 5021, 4090, 585, 3274, 11237, 815, 263, 342, 7456, 317, 273, 8358, 279, 692, 342, 284, 9230, 300, 13062, 265, 279, 19422, 331, 317, 273, 4917, 284, 9230, 7871, 269, 14695, 265, 279, 19422, 2764, 317, 273, 4917, 284, 271, 269, 276, 5655, 330, 760, 270, 1111, 284, 276, 5655, 269, 1015, 296, 321, 270, 1111, 692, 284, 276, 5655, 269, 1015, 268, 5611, 16732, 2190, 270, 1321, 31618, 1691, 270, 1321, 6661, 4572, 269, 272, 296, 321, 270, 1111, 0, 258, 4804, 17130, 476, 272, 281, 8340, 519, 4320, 540, 519, 2034, 4605, 1210, 519, 4320, 540, 519, 1101, 2016, 269, 634, 2016, 4396, 5515, 723, 519, 1482, 3490, 543, 4463, 269, 476, 272, 269, 634, 4320, 540, 519, 12718, 568, 476, 4281, 12945, 4699, 267, 22772, 519, 4320, 540, 519, 13409, 269, 476, 273, 7868, 4320, 540, 519, 18158, 568, 476, 3607, 12945, 4699, 267, 22772, 519, 4320, 540, 519, 24388, 269, 476, 274, 7868, 4320, 540, 519, 12718, 568, 476, 2735, 332, 23326, 267, 1265, 519, 4320, 540, 519, 2016, 12106, 269, 476, 275, 7868, 4320, 540, 519, 12106, 568, 476, 6924, 269, 276, 332, 23326, 267, 22772, 519, 4320, 540, 519, 12718, 609, 519, 1482, 3490, 543, 4463, 269, 634, 4320, 540, 519, 18158, 568, 476, 3393, 269, 276, 332, 23326, 267, 22772, 519, 4320, 540, 513, 24388, 609, 1482, 3490, 543, 4463, 1547, 722, 489, 335, 553, 698, 582, 1093, 23356, 12103, 599, 657, 5225, 692, 10481, 5852, 692, 306, 6312, 658, 5515, 616, 476, 274, 8820, 5546, 602, 666, 581, 6027, 538, 31951, 10974, 593, 519, 1535, 14289, 267, 586, 14289, 267, 543, 1990, 14289, 269, 1547, 2060, 713, 476, 274, 8820, 3337, 267, 621, 3123, 519, 5515, 547, 723, 4320, 543, 2627, 1858, 269, 5272, 3337, 814, 513, 4542, 2436, 922, 4320, 610, 2627, 1858, 780, 10702, 7778, 692, 11004, 616, 1896, 5546, 538, 519, 2243, 692, 272, 269, 595, 2643, 5407, 692, 288, 12718, 568, 513, 12166, 4137, 9967, 540, 476, 274, 5011, 267, 12077, 476, 273, 3160, 10580, 543, 476, 272, 29105, 602, 27788, 519, 1079, 10580, 780, 14179, 2541, 4542, 23241, 315, 1777, 966, 7807, 7032, 25331, 317, 273, 19544, 309, 284, 11027, 25331, 692, 273, 692, 19544, 692, 273, 269, 1975, 1877, 692, 288, 12106, 568, 513, 12166, 4137, 7768, 540, 606, 12808, 1297, 540, 10580, 780, 14179, 2541, 4542, 23241, 315, 1777, 966, 7807, 13320, 346, 275, 2410, 274, 4153, 7032, 678, 317, 274, 309, 284, 692, 274, 692, 275, 692, 11027, 337, 692, 274, 692, 274, 269, 1230, 525, 692, 288, 13409, 568, 513, 12166, 4137, 9967, 540, 513, 5858, 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 ]
[ 958, 267, 607, 1134, 607, 547, 519, 555, 31726, 267, 519, 21828, 14228, 20377, 267, 519, 28481, 25283, 543, 519, 1612, 1695, 2089, 665, 2086, 531, 16794, 269, 901, 12440, 849, 6905, 17911, 569, 547, 1331, 513, 6712, 540, 519, 17911, 524, 532, 3634, 16794, 270, 2181, 322, 2317, 639, 543, 519, 1608, 8364, 710, 16794, 269, 4033, 13421, 540, 11852, 3769, 519, 2451, 9389, 334, 1790, 926, 13926, 22882, 630, 1260, 19828, 519, 17911, 6712, 540, 1647, 13796, 16794, 267, 519, 16070, 14934, 6350, 543, 519, 1647, 1624, 760, 1388, 16794, 1070, 519, 2451, 1647, 13796, 16794, 267, 543, 519, 1318, 16070, 14934, 6350, 630, 5408, 8431, 269, 476, 272, 267, 1283, 8470, 267, 543, 2228, 4675, 11915, 7305, 590, 272, 1916, 763, 2635, 8060, 849, 4951, 1614, 13421, 540, 2799, 11852, 547, 1875, 2173, 25514, 17272, 3183, 982, 547, 3965, 17272, 3183, 10291, 269, 1452, 941, 538, 519, 1624, 760, 1388, 16794, 21536, 831, 958, 267, 519, 14694, 533, 926, 13926, 16794, 21536, 831, 958, 267, 811, 538, 519, 1318, 21571, 267, 519, 9120, 13796, 16794, 21536, 831, 958, 543, 519, 1318, 28882, 8701, 16794, 563, 763, 11634, 15617, 545, 2550, 630, 8993, 269, 476, 272, 267, 1647, 8470, 264, 4951, 513, 17618, 2147, 4806, 540, 11852, 267, 4352, 713, 7902, 11617, 1447, 3573, 538, 519, 31443, 28882, 16794, 543, 23658, 677, 673, 4525, 269, 9521, 519, 8060, 267, 789, 4951, 1100, 4525, 1141, 972, 729, 5266, 3152, 11852, 538, 3210, 547, 1875, 2173, 25514, 17272, 3183, 10291, 563, 14294, 881, 656, 1895, 3604, 630, 8993, 269, 476, 272, 267, 5377, 8470, 264, 941, 4767, 538, 2185, 5266, 1507, 13421, 281, 519, 1318, 19388, 783, 14934, 6350, 1496, 29848, 642, 2135, 1564, 267, 8445, 11852, 693, 22601, 476, 866, 267, 631, 25712, 630, 2918, 267, 6567, 7918, 267, 6567, 275, 1070, 1990, 6060, 815, 476, 275, 269, 7367, 267, 533, 815, 476, 271, 269, 19740, 3910, 519, 1318, 524, 2317, 639, 1496, 29344, 642, 2135, 1564, 267, 8445, 11852, 693, 22601, 476, 1240, 267, 631, 25712, 630, 277, 267, 6567, 3445, 267, 476, 2918, 1070, 1990, 6060, 815, 476, 274, 269, 10436, 267, 533, 815, 476, 271, 269, 21916, 3910, 519, 2451, 1647, 13796, 16794, 1496, 28091, 642, 2135, 1564, 267, 8445, 11852, 693, 22601, 476, 2641, 267, 631, 25712, 630, 6629, 6924, 267, 6567, 1015, 267, 6567, 273, 1070, 1990, 6060, 815, 476, 275, 269, 4366, 267, 533, 815, 476, 271, 269, 24879, 316, 543, 519, 1318, 16070, 14934, 6350, 1496, 1960, 642, 2135, 1564, 267, 8445, 11852, 693, 22601, 476, 2412, 267, 631, 25712, 630, 7918, 267, 6567, 7367, 267, 476, 4343, 1070, 1990, 6060, 815, 476, 275, 269, 6734, 267, 533, 815, 476, 271, 269, 6349, 4940, 1306, 666, 581, 2938, 689, 8431, 269, 476, 272, 267, 891, 13421, 540, 1713, 3017, 941, 782, 538, 4525, 1141, 519, 2635, 8060, 4951, 3152, 11852, 547, 1875, 2173, 25514, 17272, 3183, 10291, 982, 547, 3965, 17272, 3183, 10291, 269, 13340, 13602, 540, 1611, 1437, 725, 1369, 891, 2185, 13421, 616, 3254, 538, 2228, 4675, 11915, 8431, 269, 590, 272, 269, 901, 9672, 602, 789, 782, 6719, 4525, 540, 5266, 3152, 11852, 538, 519, 2550, 563, 2414, 8495, 519, 2009, 3310, 540, 25316, 2134, 5328, 2126, 593, 519, 1657, 4681, 267, 519, 1369, 31228, 2079, 585, 519, 11634, 15617, 545, 2550, 729, 7368, 4946, 6646, 9570, 630, 514, 8392, 335, 668, 8872, 5973, 757, 264, 607, 513, 23656, 622, 269, 634, 4681, 538, 713, 1895, 7283, 5702, 2147, 630, 5408, 2228, 4675, 11915, 7698, 267, 8431, 269, 590, 273, 288, 1916, 325, 28122, 4681, 281, 3965, 17272, 3183, 10291, 642, 269, 1970, 1377, 15977, 454, 15253, 1563, 547, 3444, 30651, 267, 519, 2635, 8060, 4951, 513, 2147, 855, 811, 3573, 4806, 540, 11852, 982, 538, 519, 17770, 7240, 3965, 17272, 3183, 642, 269, 1875, 17272, 3183, 29692, 4334, 269, 589, 1804, 12440, 7854, 539, 519, 17911, 524, 532, 3634, 16794, 543, 3348, 2317, 639, 267, 519, 2451, 16070, 14934, 6350, 267, 519, 1647, 13796, 16794, 21536, 831, 958, 267, 2694, 540, 519, 14694, 4776, 30613, 16794, 543, 18751, 1202, 3121, 21536, 831, 958, 543, 519, 31443, 4776, 30613, 16794, 267, 543, 849, 6905, 547, 519, 1624, 760, 1388, 16794, 267, 519, 28481, 25283, 543, 1612, 1695, 2089, 665, 25283, 267, 519, 555, 31726, 267, 519, 21828, 14228, 20377, 543, 519, 6147, 31616, 269, 589, 2034, 12440, 4988, 519, 17911, 6712, 540, 519, 1318, 1647, 13796, 16794, 543, 1318, 16070, 14934, 6350, 269, 634, 3791, 12440, 540, 11852, 729, 4092, 538, 519, 3348, 2317, 639, 269, 634, 4681, 616, 3254, 538, 8431, 269, 476, 273, 267, 1283, 8470, 282, 2417, 3877, 616, 2016, 538, 2228, 4675, 11915, 7305, 590, 273, 563, 2026, 666, 849, 581, 2938, 538, 8431, 269, 476, 273, 267, 519, 2635, 8060, 849, 4951, 13421, 540, 632, 19840, 10474, 3379, 547, 3444, 30651, 269, 1703, 941, 24845, 13421, 538, 519, 9120, 13796, 14934, 6350, 14178, 547, 519, 2022, 25218, 14934, 6350, 282, 519, 12440, 593, 519, 1318, 849, 6905, 547, 519, 9120, 533, 926, 13926, 16794, 543, 2694, 540, 519, 17911, 524, 532, 3634, 16794, 543, 3348, 2317, 639, 269, 5565, 811, 24845, 13421, 941, 2938, 538, 519, 17071, 13796, 16794, 14178, 547, 519, 14694, 1624, 760, 1388, 16794, 269, 589, 11359, 12440, 729, 538, 519, 2451, 9120, 533, 926, 13926, 16794, 563, 763, 2550, 4951, 513, 17618, 2147, 4806, 540, 11852, 547, 519, 2635, 8060, 267, 609, 1804, 13421, 538, 519, 31443, 4776, 30613, 16794, 543, 519, 17911, 524, 532, 3634, 16794, 270, 2181, 322, 2317, 639, 267, 28481, 25283, 543, 1612, 1695, 2089, 665, 25283, 267, 607, 1134, 607, 538, 519, 14694, 4776, 30613, 16794, 21536, 831, 958, 267, 519, 2451, 13796, 543, 533, 926, 13926, 16794, 543, 2694, 540, 519, 1624, 760, 1388, 16794, 21536, 831, 958, 269, 1717, 267, 789, 4951, 1100, 13421, 540, 632, 19840, 10474, 630, 5408, 8431, 269, 476, 273, 267, 1647, 8470, 267, 543, 2228, 4675, 11915, 7305, 590, 273, 1040, 1306, 538, 519, 4334, 1063, 3965, 17272, 3183, 543, 1875, 17272, 3183, 10291, 267, 18110, 519, 1369, 31228, 2079, 585, 519, 11634, 15617, 545, 2550, 4946, 6646, 9570, 630, 514, 8392, 335, 668, 8872, 5973, 757, 264, 607, 513, 23656, 622, 1500, 2370, 3017, 547, 519, 4681, 630, 5408, 4675, 11915, 7698, 267, 8431, 269, 590, 273, 289, 1916, 2467, 941, 1100, 4525, 1141, 519, 2550, 4951, 1447, 11852, 3379, 547, 3444, 30651, 982, 519, 8060, 630, 8993, 269, 476, 273, 267, 5377, 8470, 1040, 1717, 267, 519, 2550, 4951, 3152, 11852, 982, 519, 8060, 538, 5722, 13421, 281, 519, 4102, 729, 538, 519, 1318, 533, 926, 13926, 16794, 1496, 15836, 277, 642, 2135, 1564, 267, 8445, 11852, 693, 22601, 476, 2412, 267, 631, 25712, 630, 4343, 267, 6567, 4510, 267, 476, 2004, 1070, 1990, 6060, 815, 476, 275, 269, 10436, 267, 533, 2999, 476, 271, 269, 9826, 22049, 513, 10199, 27101, 855, 4130, 12440, 729, 538, 519, 2451, 533, 926, 13926, 16794, 1496, 6321, 274, 642, 2135, 1564, 267, 8445, 11852, 693, 22601, 476, 2412, 267, 631, 25712, 630, 6629, 5655, 267, 6567, 5379, 267, 476, 7367, 1070, 1990, 6060, 815, 476, 275, 269, 4375, 267, 533, 2999, 476, 271, 269, 9826, 22049, 824, 13421, 941, 538, 519, 2022, 25218, 14934, 6350, 1496, 27844, 642, 2135, 1564, 267, 8445, 11852, 693, 22601, 476, 4366, 267, 631, 25712, 630, 6629, 5038, 267, 6567, 1240, 267, 476, 2420, 1070, 1990, 6060, 815, 476, 275, 269, 5400, 267, 533, 2999, 476, 271, 269, 9826, 22049, 519, 2451, 1647, 13796, 16794, 1496, 14838, 642, 2135, 1564, 267, 8445, 11852, 693, 22601, 476, 2420, 267, 631, 25712, 630, 6629, 7830, 267, 6567, 1321, 267, 6567, 273, 1070, 1990, 6060, 815, 476, 276, 269, 4905, 267, 533, 815, 476, 271, 269, 19740, 3066, 22049, 519, 2451, 17071, 13796, 16794, 1496, 4489, 642, 2135, 1564, 267, 8445, 11852, 693, 22601, 476, 4391, 267, 631, 25712, 630, 6629, 4366, 267, 6567, 6321, 267, 6567, 279, 1070, 1990, 6060, 815, 476, 275, 269, 6812, 267, 533, 815, 476, 271, 269, 26522, 276, 22049, 519, 2451, 9120, 1624, 760, 1388, 16794, 1496, 14321, 642, 2135, 1564, 267, 8445, 11852, 693, 22601, 476, 866, 267, 631, 25712, 630, 6629, 736, 267, 6567, 10619, 267, 476, 2412, 1070, 1990, 6060, 815, 476, 275, 269, 2420, 267, 533, 815, 476, 271, 269, 271, 3066, 22049, 543, 519, 1202, 3121, 1496, 16825, 642, 2135, 1564, 267, 8445, 11852, 693, 22601, 476, 4366, 267, 631, 25712, 630, 6629, 3607, 267, 6567, 736, 267, 476, 1321, 1070, 1990, 6060, 815, 476, 275, 269, 6321, 267, 533, 815, 476, 271, 269, 271, 5655, 277, 14073, 26213, 13602, 540, 519, 1611, 1437, 725, 1369, 891, 5722, 13421, 9672, 602, 538, 3670, 2665, 789, 6719, 5821, 540, 632, 19840, 10474, 538, 519, 11634, 15617, 545, 2550, 630, 5408, 4675, 11915, 8431, 269, 590, 274, 1040, 634, 18749, 12440, 630, 514, 519, 9120, 1624, 760, 1388, 16794, 264, 729, 538, 513, 3148, 1141, 519, 8060, 4951, 1100, 1713, 11852, 610, 632, 19840, 10474, 563, 1607, 1353, 8947, 519, 2634, 6198, 31426, 540, 17770, 7240, 11291, 538, 18624, 267, 9236, 621, 547, 1079, 1852, 4247, 267, 13156, 540, 1875, 2173, 25514, 859, 3183, 10291, 543, 3444, 30651, 269, 7201, 1312, 2175, 519, 2635, 8060, 4951, 11852, 1369, 519, 8513, 540, 519, 9949, 7154, 3060, 267, 3226, 538, 922, 1079, 4571, 1467, 9729, 673, 4525, 269, 634, 2550, 1705, 711, 8428, 3648, 689, 519, 2635, 8060, 538, 519, 4110, 540, 11852, 538, 891, 4525, 269, 1717, 267, 789, 1705, 1397, 2963, 540, 2242, 267, 799, 3576, 519, 1106, 5631, 540, 5821, 540, 632, 19840, 10474, 267, 538, 4525, 3544, 519, 9949, 7154, 3060, 563, 763, 2635, 8060, 538, 938, 1353, 4951, 513, 4806, 540, 17770, 7240, 3965, 2404, 1437, 725, 602, 729, 21230, 5812, 609, 602, 1336, 676, 590, 341, 984, 18649, 1696, 620, 269, 630, 27270, 590, 341, 984, 18649, 267, 21025, 4883, 517, 543, 23821, 710, 1220, 277, 264, 538, 741, 13849, 20400, 540, 476, 2190, 2090, 269, 634, 1034, 1271, 3017, 729, 602, 267, 6466, 590, 341, 984, 18649, 1696, 620, 269, 630, 27270, 590, 341, 984, 18649, 267, 21025, 4883, 517, 543, 23821, 710, 1220, 277, 264, 1336, 2963, 540, 14694, 28882, 11852, 1282, 4305, 2773, 267, 538, 938, 1353, 713, 729, 1152, 2938, 896, 519, 3965, 29692, 859, 3183, 2783, 642, 269, 1970, 1377, 15977, 630, 29589, 30651, 1070, 543, 711, 538, 519, 3965, 29692, 859, 3183, 642, 269, 1875, 17272, 3183, 4334, 269, 2290, 2009, 7778, 585, 713, 3017, 1522, 581, 602, 519, 5171, 8362, 7722, 538, 3406, 630, 328, 4318, 269, 10324, 264, 2994, 1282, 1312, 519, 3742, 2175, 267, 1354, 2901, 29466, 610, 17528, 547, 12398, 513, 4143, 17770, 7240, 3965, 269, 2368, 1489, 585, 713, 7778, 2501, 689, 513, 1353, 540, 2635, 5396, 676, 16410, 324, 5633, 1696, 620, 269, 630, 27270, 16410, 324, 5633, 267, 13584, 267, 30605, 11253, 541, 267, 5682, 6199, 267, 14863, 1372, 267, 26541, 6523, 267, 5487, 21574, 543, 11676, 514, 1220, 275, 264, 799, 267, 607, 538, 938, 1353, 267, 4334, 539, 10291, 2966, 547, 1312, 29360, 543, 711, 29360, 17770, 7240, 8823, 630, 514, 713, 2013, 267, 11147, 540, 513, 6280, 13464, 3144, 676, 519, 1641, 1864, 11399, 9887, 610, 676, 1866, 1040, 5637, 2175, 941, 1336, 547, 19334, 519, 21053, 565, 8632, 543, 5887, 1503, 8632, 4776, 30613, 16794, 3379, 547, 3444, 30651, 267, 609, 1100, 3604, 1373, 1336, 1063, 519, 1079, 3742, 2175, 563, 5978, 4681, 538, 11634, 15617, 545, 2550, 8428, 6825, 569, 689, 1346, 540, 519, 1152, 824, 1353, 547, 4266, 267, 602, 540, 19923, 969, 334, 6441, 4861, 731, 1696, 620, 269, 630, 27270, 19923, 969, 334, 6441, 4861, 731, 267, 19748, 690, 928, 267, 717, 4536, 7288, 267, 645, 5028, 6261, 582, 16279, 267, 2558, 534, 267, 5800, 1030, 320, 1460, 267, 17833, 29951, 1014, 267, 623, 1512, 582, 543, 7799, 28009, 1001, 273, 1040, 1452, 4589, 1336, 4389, 11852, 538, 519, 2550, 538, 519, 31443, 28882, 16794, 543, 519, 3348, 2317, 639, 267, 543, 849, 538, 519, 2451, 14694, 4776, 30613, 16794, 267, 519, 2451, 31443, 13796, 27914, 543, 824, 2127, 267, 6466, 649, 1336, 1100, 2963, 540, 4389, 11852, 538, 1022, 3148, 269, 1717, 267, 972, 568, 606, 6654, 1761, 7778, 585, 713, 15739, 32735, 281, 607, 7074, 538, 519, 4367, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 6457, 1302, 267, 543, 13998, 269, 901, 1935, 786, 2333, 6015, 543, 2949, 8788, 563, 274, 269, 2878, 20797, 3742, 6947, 5093, 9796, 532, 2673, 3007, 547, 1018, 1866, 2161, 9727, 6568, 543, 1719, 267, 5807, 6793, 4296, 563, 275, 269, 2878, 14611, 1555, 2635, 6302, 5093, 13760, 707, 1378, 2115, 543, 7687, 1247, 849, 1373, 2015, 622, 540, 1010, 269, 21727, 995, 6302, 1711, 513, 4396, 5748, 585, 1022, 1761, 11450, 563, 276, 269, 2878, 21615, 15869, 9639, 5093, 8490, 2178, 3347, 3217, 942, 269, 14190, 1919, 547, 3356, 6923, 1510, 678, 5241, 610, 4742, 22350, 4368, 730, 593, 4093, 780, 3721, 476, 272, 281, 5700, 5808, 1261, 1772, 454, 2411, 15365, 2414, 1205, 707, 5326, 18560, 781, 3007, 267, 1101, 2697, 945, 646, 568, 676, 6236, 3838, 4690, 267, 2418, 267, 3853, 267, 543, 1514, 10580, 269, 4495, 596, 723, 5462, 713, 1344, 267, 4497, 1864, 538, 7391, 1644, 547, 1346, 3584, 269, 1635, 3257, 865, 267, 596, 6542, 17356, 543, 1455, 2666, 267, 799, 1419, 3029, 519, 4493, 540, 3355, 16007, 780, 3721, 476, 273, 281, 13724, 23126, 4284, 1227, 454, 29432, 16498, 5920, 4249, 606, 1898, 1909, 538, 13830, 2576, 781, 3007, 269, 1717, 267, 3314, 602, 3020, 5898, 11710, 689, 6418, 1072, 543, 9716, 269, 10312, 593, 14237, 2318, 6208, 971, 607, 2834, 3635, 267, 7059, 6484, 267, 7850, 3207, 267, 543, 2566, 2359, 2553, 899, 9066, 610, 10649, 269, 1452, 2853, 786, 3986, 1312, 707, 2168, 9029, 543, 2790, 6830, 3363, 780, 7659, 17785, 281, 22716, 1125, 2067, 5898, 2864, 982, 13461, 9003, 593, 17539, 610, 6752, 3466, 269, 30151, 10237, 919, 950, 2043, 9784, 741, 22464, 543, 3398, 2933, 4628, 780, 3721, 476, 274, 281, 30205, 2659, 25827, 7167, 3809, 454, 14343, 14945, 8777, 1645, 538, 6024, 1565, 2238, 20502, 7214, 7279, 543, 20440, 269, 3367, 2835, 267, 7390, 11925, 267, 4585, 32026, 267, 6432, 547, 27143, 267, 610, 18934, 538, 6030, 602, 533, 1664, 707, 1719, 269, 19457, 1702, 6591, 998, 891, 2833, 666, 8141, 2502, 7391, 543, 15052, 4296, 780, 3721, 476, 275, 281, 28389, 4317, 10341, 454, 10900, 19030, 19931, 2792, 1983, 4125, 811, 982, 1175, 6158, 282, 789, 1331, 3742, 6947, 267, 11589, 4664, 5693, 267, 4509, 3750, 3346, 267, 1210, 1560, 1893, 14013, 267, 543, 6998, 1930, 25804, 2055, 269, 28552, 891, 5759, 6087, 1732, 29037, 20671, 543, 18791, 14375, 7554, 780, 7659, 17785, 281, 6333, 11836, 15731, 267, 3906, 267, 610, 2950, 1141, 707, 5326, 18560, 1522, 7119, 269, 12056, 538, 1895, 5468, 2636, 3255, 585, 13680, 4205, 267, 1818, 621, 4443, 547, 1628, 23440, 543, 3715, 4296, 7930, 780, 3721, 476, 276, 281, 8058, 2637, 9334, 9314, 454, 10900, 19567, 2750, 12304, 25442, 7279, 827, 1010, 1272, 267, 18653, 267, 543, 17050, 269, 4658, 5660, 950, 1866, 1491, 519, 942, 547, 1174, 873, 7184, 269, 1306, 6362, 15826, 2055, 2982, 5092, 538, 3478, 547, 917, 1864, 3564, 2627, 1377, 780, 3721, 476, 277, 281, 23227, 622, 10025, 454, 10900, 7042, 11947, 2775, 707, 9342, 267, 15421, 267, 543, 18517, 1510, 1630, 8463, 610, 17729, 818, 5766, 656, 269, 18224, 532, 16169, 543, 12588, 27711, 4502, 1465, 607, 513, 7649, 1247, 11121, 8994, 25621, 543, 2463, 780, 3721, 476, 278, 281, 2142, 8081, 633, 454, 2411, 19030, 19423, 518, 19015, 1282, 4101, 2053, 543, 8661, 18454, 1927, 269, 21278, 26772, 1489, 15920, 513, 3532, 5048, 602, 596, 22992, 1416, 827, 1010, 8171, 543, 8788, 780, 3721, 476, 279, 281, 3763, 16508, 11106, 454, 5785, 19567, 28403, 1944, 543, 5883, 4664, 3927, 10597, 14375, 3347, 3648, 269, 6657, 7114, 707, 4606, 543, 14775, 9935, 267, 5807, 6043, 267, 6568, 267, 543, 1582, 18221, 269, 3958, 267, 1451, 547, 4612, 1875, 31646, 10291, 543, 4431, 6213, 569, 547, 1866, 262, 3929, 2829, 780, 3721, 476, 280, 281, 19372, 13245, 21940, 2456, 454, 5785, 14945, 30144, 3347, 2154, 3666, 1063, 7115, 543, 13829, 269, 22682, 5968, 707, 6788, 267, 13821, 267, 543, 7182, 267, 4180, 25262, 566, 689, 707, 5326, 18560, 269, 24367, 13190, 11151, 13798, 2570, 1890, 543, 8992, 2123, 2208, 1369, 519, 2796, 540, 513, 11509, 11450, 780, 3721, 476, 1015, 281, 4980, 10675, 4793, 1466, 454, 10900, 14945, 19465, 9434, 4296, 3340, 942, 543, 4674, 269, 3680, 2046, 1005, 3871, 610, 16550, 13311, 8441, 269, 5502, 267, 1450, 3347, 547, 1020, 1418, 1227, 693, 741, 1378, 10605, 267, 14637, 3972, 543, 7071, 2059, 519, 1259, 780, 6962, 454, 29603, 16920, 24219, 707, 5326, 18560, 3322, 5812, 1582, 21553, 2889, 22777, 3646, 5916, 609, 9758, 1719, 267, 2500, 2792, 267, 543, 3929, 4987, 269, 20074, 891, 2994, 11942, 2123, 2208, 1247, 2810, 8458, 540, 8108, 513, 7096, 4276, 1759, 593, 8994, 2463, 267, 1620, 267, 543, 3838, 2418, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 7476, 2659, 14134, 24053, 781, 23206, 2580, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3178, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 538, 331, 24851, 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, 3848, 476, 1015, 281, 18027, 4811, 1315, 19949, 1315, 6601, 2644, 910, 19051, 595, 3019, 12025, 29938, 692, 15916, 972, 267, 8284, 3662, 18798, 256, 4653, 267, 649, 2811, 2469, 547, 4685, 883, 519, 4241, 1158, 540, 19051, 595, 3019, 7314, 267, 4481, 7234, 741, 2450, 7648, 269, 1411, 1522, 4898, 267, 834, 1432, 2306, 891, 7314, 865, 2027, 8119, 4270, 267, 1577, 803, 2995, 596, 782, 827, 873, 2439, 5575, 267, 1450, 803, 547, 6338, 596, 547, 519, 15999, 19051, 595, 3019, 9742, 269, 1452, 4190, 7068, 12090, 538, 519, 2136, 2276, 543, 666, 1332, 909, 547, 1614, 3952, 1279, 267, 1818, 873, 835, 540, 519, 4102, 30042, 3032, 14981, 256, 1358, 2097, 538, 1585, 4778, 267, 3270, 267, 543, 10359, 13080, 855, 2671, 3982, 2168, 2934, 899, 8913, 1111, 539, 10772, 267, 14328, 4703, 267, 543, 1668, 1506, 21217, 269, 3767, 267, 1577, 781, 2263, 519, 1114, 2450, 7648, 1369, 713, 7415, 9742, 780, 3080, 10578, 4183, 1336, 538, 19051, 3213, 976, 630, 663, 824, 2831, 264, 568, 4874, 323, 716, 2643, 1143, 1107, 2348, 811, 982, 519, 8912, 1297, 540, 19462, 269, 1280, 1034, 7314, 267, 4557, 19462, 616, 3044, 282, 2705, 267, 19051, 3213, 976, 3006, 7328, 606, 3606, 7857, 610, 1079, 593, 1142, 30392, 256, 901, 8984, 2164, 689, 513, 8789, 5444, 267, 2495, 1152, 835, 2385, 2115, 547, 1780, 621, 2059, 585, 741, 15556, 547, 27836, 621, 269, 5994, 707, 24566, 3659, 6972, 1472, 609, 3670, 610, 5722, 32620, 2370, 23179, 10365, 3079, 540, 2947, 256, 1215, 3579, 1131, 602, 581, 2496, 3086, 267, 1934, 2501, 606, 1898, 2243, 281, 4208, 1810, 1405, 20231, 19051, 3213, 976, 723, 3063, 19462, 286, 4014, 4874, 323, 716, 344, 569, 568, 22420, 267, 621, 3085, 1405, 10018, 1169, 2582, 13956, 656, 786, 849, 4865, 519, 16023, 269, 2334, 781, 1318, 256, 21834, 666, 1205, 7168, 7294, 269, 3807, 1589, 540, 12902, 18062, 950, 8429, 1524, 6090, 269, 3962, 5066, 814, 513, 4960, 540, 13941, 593, 1808, 2338, 267, 1256, 1498, 1978, 4093, 949, 3100, 811, 2693, 1813, 547, 17282, 269, 1924, 1247, 2717, 569, 267, 707, 7023, 781, 19051, 595, 3019, 267, 1522, 1166, 13550, 1200, 22429, 19462, 267, 16523, 1223, 1869, 4224, 519, 6093, 1293, 540, 4557, 780, 4131, 781, 1491, 513, 4090, 1631, 547, 2015, 1776, 2460, 281, 1772, 621, 5683, 547, 5000, 4874, 323, 716, 2643, 19051, 3213, 976, 998, 16496, 9960, 2853, 286, 2368, 2477, 3494, 602, 19249, 2067, 7592, 5012, 547, 1761, 1072, 2152, 543, 3976, 7333, 971, 9960, 269, 2755, 649, 23507, 1346, 2462, 267, 17681, 5378, 29181, 267, 3314, 602, 4180, 938, 10130, 1291, 2635, 2729, 1058, 2141, 2611, 1283, 10862, 780, 2414, 16833, 1919, 909, 267, 1620, 19051, 595, 3019, 2450, 7648, 6770, 721, 6251, 547, 19825, 519, 5898, 540, 11976, 543, 4763, 1851, 535, 3894, 269, 6787, 707, 11537, 13959, 19646, 2834, 610, 9058, 9704, 267, 10027, 880, 741, 22464, 543, 1683, 873, 609, 6266, 540, 2648, 543, 1416, 269, 5808, 6487, 286, 9320, 14693, 596, 3513, 588, 18443, 2390, 513, 7874, 8378, 19051, 595, 3019, 6029, 1055, 1200, 23406, 1305, 540, 3670, 3562, 324, 13300, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 20442, 3425, 2648, 2189, 23302, 2831, 267, 689, 519, 4552, 1652, 590, 874, 2106, 343, 7314, 547, 13677, 674, 9529, 547, 519, 3063, 3562, 539, 19051, 595, 3019, 563, 2710, 19051, 3213, 976, 5620, 23448, 1677, 525, 286, 8786, 267, 930, 19051, 3213, 976, 723, 3063, 19462, 269, 1717, 267, 621, 568, 711, 513, 10421, 585, 513, 3032, 547, 723, 2789, 19462, 547, 581, 2808, 513, 19051, 595, 3019, 269, 4746, 267, 3063, 9704, 568, 711, 513, 16023, 9003, 11911, 547, 1175, 19051, 595, 3019, 7314, 267, 2523, 952, 596, 2661, 538, 519, 7262, 21571, 563, 2005, 1281, 2049, 693, 513, 2362, 6871, 538, 19051, 3213, 976, 982, 519, 2489, 26804, 2551, 269, 3367, 2417, 547, 1174, 1018, 621, 568, 267, 1946, 538, 930, 2477, 789, 616, 17049, 689, 9960, 267, 543, 875, 547, 1265, 835, 563, 3963, 798, 789, 723, 3063, 19462, 888, 28139, 323, 716, 344, 569, 568, 513, 8789, 16023, 602, 3947, 2831, 609, 713, 5444, 3063, 19462, 269, 898, 568, 711, 1644, 547, 4008, 267, 543, 1152, 835, 5299, 540, 519, 5444, 568, 2556, 585, 835, 540, 519, 3237, 585, 519, 6539, 1084, 547, 1020, 713, 4719, 3815, 563, 4913, 267, 1175, 1317, 596, 723, 513, 3032, 609, 3063, 19462, 267, 621, 1281, 711, 1611, 602, 922, 6539, 29181, 786, 581, 519, 1482, 269, 4634, 1498, 519, 5444, 568, 8789, 267, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 12578, 595, 3019, 12025, 29938, 257, 607, 851, 540, 834, 14154, 4811, 1315, 19949, 1315, 6601, 2644, 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, 769, 519, 7706, 540, 1857, 3609, 267, 1906, 2152, 616, 607, 1543, 1190, 543, 1950, 607, 7784, 1852, 269, 2311, 519, 2295, 540, 713, 7521, 6013, 519, 2243, 540, 875, 547, 3666, 1367, 2924, 609, 7104, 3106, 267, 782, 1247, 10188, 513, 2797, 5251, 9808, 9853, 609, 13730, 15156, 543, 1134, 30845, 1719, 2516, 269, 2290, 2460, 540, 7784, 3609, 602, 11562, 1218, 1880, 3007, 568, 17461, 6744, 7010, 1107, 513, 2565, 1907, 1031, 547, 2061, 5732, 5906, 2043, 689, 13844, 32205, 269, 901, 3184, 786, 5490, 883, 519, 14960, 540, 4282, 2638, 1949, 267, 3695, 741, 1686, 267, 11707, 267, 7145, 267, 543, 7687, 269, 3414, 713, 6514, 267, 649, 4126, 547, 1683, 3988, 609, 513, 13857, 1620, 540, 891, 4105, 6127, 543, 8300, 2417, 4901, 827, 741, 1909, 538, 4207, 2486, 780, 2414, 2253, 267, 1577, 721, 3715, 513, 13654, 4214, 281, 589, 4282, 2638, 1062, 4016, 547, 519, 1184, 998, 799, 17101, 9988, 267, 971, 607, 13931, 3595, 1301, 4308, 619, 610, 1876, 11268, 8041, 267, 1569, 5638, 543, 12240, 5627, 1344, 4143, 547, 606, 1367, 781, 25046, 547, 4865, 513, 3595, 1301, 269, 1452, 11974, 3335, 4125, 10478, 5313, 267, 1533, 267, 543, 2199, 5638, 585, 7803, 31710, 267, 2790, 1072, 7755, 644, 10716, 267, 1964, 20995, 9753, 267, 543, 824, 2188, 602, 949, 771, 23974, 1518, 2576, 689, 11449, 610, 26539, 513, 3595, 1301, 896, 10858, 4031, 269, 2755, 4282, 2638, 1949, 4268, 2066, 22875, 267, 1034, 2671, 1455, 2934, 543, 6859, 281, 4180, 1857, 3106, 676, 7303, 19275, 7606, 689, 16565, 15963, 780, 30399, 267, 4282, 2638, 1949, 723, 7960, 7258, 7760, 538, 2594, 15209, 543, 1239, 4687, 4066, 269, 13405, 547, 519, 10661, 540, 6101, 1242, 4282, 2638, 3157, 267, 1761, 18046, 1223, 10536, 32205, 609, 8766, 22987, 1107, 1419, 13461, 9003, 593, 606, 8956, 1062, 1141, 4136, 553, 619, 1582, 3146, 19959, 1022, 771, 23974, 4328, 2188, 269, 1717, 267, 1164, 3491, 12803 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12163, 10214, 14114, 742, 15051, 692, 11693, 606, 5044, 540, 1875, 24308, 9981, 267, 1685, 513, 3126, 540, 4238, 2394, 519, 5044, 3587, 8900, 563, 10376, 540, 519, 4238, 3947, 513, 6060, 267, 543, 519, 3804, 568, 547, 11694, 519, 2949, 6060, 267, 519, 2040, 540, 519, 8464, 689, 782, 4238, 269, 14419, 519, 5021, 2009, 6060, 1310, 7900, 519, 4238, 593, 519, 5044, 780, 5472, 4238, 616, 476, 272, 268, 8161, 539, 543, 616, 3989, 607, 2630, 1384, 272, 269, 1280, 1169, 9642, 268, 8161, 539, 5106, 267, 519, 6060, 568, 1213, 7757, 676, 519, 2040, 540, 782, 9981, 1459, 538, 519, 5044, 780, 273, 269, 1280, 1169, 1256, 268, 8161, 539, 5106, 267, 519, 6060, 568, 3526, 7757, 676, 519, 2040, 540, 782, 9981, 1459, 538, 519, 5044, 780, 274, 269, 2991, 1169, 5106, 630, 15957, 610, 1256, 1070, 513, 3903, 547, 4894, 2901, 519, 2451, 2865, 610, 519, 1318, 2865, 8870, 568, 1500, 267, 538, 1931, 547, 3035, 519, 5021, 2009, 6060, 563, 7531, 2690, 1383, 1384, 333, 815, 476, 277, 692, 15759, 518, 26161, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 273, 267, 476, 277, 6540, 22873, 658, 6060, 815, 476, 271, 19638, 763, 6099, 4238, 616, 607, 5205, 1384, 272, 269, 20491, 476, 272, 568, 9642, 267, 865, 1039, 519, 2040, 540, 519, 5044, 547, 519, 6060, 281, 6060, 6834, 476, 1240, 815, 476, 1240, 267, 4894, 519, 476, 277, 543, 8870, 26161, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 273, 3910, 2040, 815, 476, 1321, 780, 273, 269, 20491, 476, 273, 568, 1256, 267, 865, 10208, 519, 2040, 540, 519, 5044, 281, 6060, 910, 1321, 815, 476, 277, 269, 17179, 519, 476, 273, 543, 8870, 26161, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 3910, 2040, 815, 476, 1015, 780, 274, 269, 20491, 476, 274, 568, 9642, 267, 6060, 6834, 476, 1015, 815, 476, 1626, 267, 4894, 519, 476, 275, 267, 8870, 26161, 815, 630, 272, 267, 273, 267, 476, 274, 1070, 2040, 815, 476, 277, 780, 275, 269, 20491, 476, 275, 568, 1256, 267, 6060, 20699, 476, 277, 815, 476, 1015, 267, 4894, 519, 476, 272, 267, 8870, 26161, 815, 1496, 273, 267, 476, 274, 3910, 2040, 815, 476, 276, 780, 276, 269, 20491, 476, 276, 568, 9642, 267, 6060, 6834, 476, 276, 815, 476, 1428, 267, 4894, 519, 476, 274, 267, 8870, 26161, 815, 1496, 273, 316, 2040, 815, 476, 273, 780, 277, 269, 20491, 476, 277, 568, 1256, 267, 6060, 20699, 476, 273, 815, 476, 1724, 267, 17179, 519, 476, 273, 269, 8870, 26161, 815, 29129, 763, 3803, 2626, 568, 476, 1724, 563, 692, 20701, 454, 3698, 1205, 16655, 3065, 30360, 25225, 17107, 825, 840, 11764, 815, 1496, 271, 316, 2608, 630, 6352, 25225, 264, 1341, 476, 272, 2020, 825, 585, 1775, 538, 2039, 263, 272, 267, 6352, 25225, 11924, 272, 2187, 1038, 840, 11764, 5157, 316, 815, 840, 11764, 5157, 910, 476, 272, 316, 1341, 15358, 5157, 910, 476, 272, 6540, 825, 568, 302, 9536, 815, 7003, 25225, 264, 4939, 476, 273, 2652, 476, 272, 692, 825, 31185, 815, 20886, 271, 585, 1535, 538, 2039, 12759, 25225, 11924, 272, 13580, 585, 1775, 538, 2039, 12759, 25225, 11924, 272, 264, 6540, 825, 585, 561, 538, 2039, 263, 271, 267, 7003, 25225, 11924, 272, 2187, 1038, 585, 1775, 538, 2039, 263, 271, 267, 7003, 25225, 11924, 272, 2187, 16875, 952, 1775, 1341, 561, 2999, 630, 6352, 25225, 15892, 2018, 952, 561, 2652, 476, 271, 912, 3546, 952, 568, 302, 9536, 912, 7386, 31185, 5157, 6012, 328, 316, 815, 15358, 5157, 2639, 3546, 3116, 912, 7386, 31185, 5157, 6012, 328, 316, 815, 910, 333, 4548, 5157, 2639, 3546, 3136, 454, 2018, 3116, 912, 3546, 952, 568, 302, 9536, 912, 7386, 31185, 5157, 6012, 328, 1341, 561, 316, 815, 3193, 5560, 335, 5157, 1341, 476, 272, 6012, 328, 1341, 561, 3910, 31185, 5157, 6012, 328, 1341, 561, 910, 476, 272, 8079, 1341, 840, 11764, 5157, 1341, 561, 1341, 476, 272, 316, 910, 840, 11764, 5157, 2639, 3546, 3116, 912, 7386, 31185, 5157, 6012, 328, 1341, 561, 316, 815, 3193, 5560, 335, 5157, 1341, 476, 272, 6012, 328, 1341, 561, 3910, 31185, 5157, 6012, 328, 1341, 561, 910, 476, 272, 8079, 910, 840, 11764, 5157, 1341, 561, 1341, 476, 272, 316, 1341, 840, 11764, 5157, 6540, 454, 1038, 568, 302, 9536, 815, 711, 568, 302, 9536, 454, 825, 2132, 31185, 314, 271, 6012, 6352, 25225, 264, 910, 476, 272, 6540, 2745, 2891, 1262, 10214, 9642, 4238, 281, 19515, 333, 4548, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 273, 267, 476, 277, 2639, 2745, 263, 1326, 16655, 3065, 30360, 25225, 264, 2652, 476, 1724, 264, 0, 5035, 8827, 912, 825, 1219, 2582, 10831, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 29185, 1038, 9717, 513, 1875, 268, 24105, 5044, 540, 9981, 267, 1169, 3693, 5526, 7466, 4849, 585, 835, 269, 4855, 602, 2582, 835, 780, 1038, 1403, 649, 1491, 2473, 3036, 540, 4642, 543, 930, 3787, 267, 621, 786, 2132, 602, 3787, 454, 1038, 1403, 649, 1491, 2473, 3036, 540, 1079, 1482, 11353, 267, 621, 786, 2132, 476, 271, 692, 1038, 8173, 1038, 513, 815, 476, 271, 454, 1038, 585, 1775, 538, 15358, 912, 2018, 513, 9745, 284, 1775, 454, 1038, 2132, 513, 7531, 12163, 19152, 281, 1496, 273, 267, 273, 267, 272, 2639, 20479, 281, 476, 272, 692, 19152, 281, 1496, 275, 267, 272, 267, 273, 267, 272, 267, 273, 2639, 20479, 281, 476, 275, 454, 18851, 0, 258, 7090, 274, 692, 258, 9717, 513, 1305, 540, 2318, 2338, 267, 3313, 952, 972, 6818, 513, 15410, 4171, 2040, 568, 3160, 547, 513, 2016, 1297, 2048, 306, 685, 780, 3698, 666, 318, 4820, 819, 16325, 267, 2040, 2187, 825, 562, 815, 7003, 16325, 994, 825, 31185, 815, 1496, 16178, 585, 1535, 538, 2039, 4433, 636, 266, 272, 264, 6540, 825, 1948, 6023, 2040, 284, 271, 267, 607, 649, 666, 2141, 723, 1412, 271, 262, 2040, 609, 606, 8900, 1305, 454, 825, 31185, 314, 271, 316, 815, 6936, 692, 825, 1948, 609, 1152, 835, 1297, 267, 649, 666, 723, 513, 15410, 1152, 950, 519, 2838, 2040, 568, 3160, 547, 922, 1871, 454, 825, 585, 521, 538, 2039, 263, 272, 267, 2040, 266, 272, 2187, 1038, 31185, 314, 338, 316, 815, 1003, 314, 271, 316, 2652, 521, 692, 825, 1948, 1184, 782, 29162, 585, 782, 18304, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 562, 2187, 1038, 585, 521, 538, 2039, 4433, 636, 267, 910, 272, 267, 910, 272, 2187, 2018, 1948, 952, 31185, 314, 338, 316, 2525, 25152, 267, 713, 1797, 649, 666, 1205, 519, 2040, 1412, 338, 262, 1510, 1003, 5157, 3910, 8754, 649, 666, 1847, 593, 547, 454, 2018, 1948, 519, 1985, 1297, 3116, 649, 666, 1331, 1003, 5157, 316, 543, 1294, 952, 649, 666, 1265, 513, 15410, 547, 1205, 519, 454, 2018, 1948, 6967, 2040, 454, 2018, 952, 711, 31185, 314, 338, 316, 543, 521, 13843, 1003, 5157, 14158, 3546, 31185, 314, 338, 316, 815, 31185, 314, 338, 910, 1003, 5157, 316, 6540, 825, 2132, 31185, 314, 8999, 6540, 454, 11133, 815, 1496, 272, 267, 476, 274, 267, 476, 275, 267, 476, 279, 2639, 8999, 19571, 815, 476, 277, 454, 320, 815, 666, 318, 4820, 819, 16325, 267, 2040, 19571, 994, 2745, 5416, 2652, 6936, 2020, 321, 815, 666, 318, 4820, 819, 8443, 272, 267, 476, 273, 267, 476, 278, 267, 476, 272, 267, 476, 276, 3910, 476, 1015, 994, 2745, 6357, 2652, 6936, 2020, 322, 815, 666, 318, 4820, 819, 8443, 272, 267, 476, 274, 267, 476, 275, 267, 476, 279, 3910, 476, 277, 994, 2745, 6262, 2652, 8771, 264, 0, 454, 258, 769, 2780, 2257, 267, 10203, 4990, 568, 606, 5690, 585, 18570, 513, 4015, 540, 3615, 454, 258, 2687, 547, 10569, 602, 616, 1507, 9981, 282, 602, 568, 267, 621, 568, 606, 8870, 18570, 5690, 563, 258, 898, 13333, 676, 10203, 519, 1297, 540, 3615, 602, 723, 1142, 3982, 1883, 1871, 267, 543, 1210, 454, 258, 12980, 593, 1346, 12523, 547, 3313, 519, 7158, 540, 1142, 1883, 1871, 538, 519, 3977, 5311, 563, 258, 4706, 4881, 942, 568, 5276, 538, 519, 1297, 540, 3688, 543, 519, 3017, 1063, 519, 5021, 543, 5934, 1883, 2418, 2676, 258, 865, 621, 568, 1152, 5078, 585, 1463, 946, 538, 3871, 1141, 519, 8390, 538, 10569, 568, 711, 3648, 3152, 454, 258, 982, 519, 1297, 540, 3688, 269, 1717, 267, 621, 568, 1419, 1031, 607, 513, 1016, 709, 339, 710, 538, 1776, 18570, 5690, 267, 2234, 1460, 4990, 2676, 258, 602, 666, 6023, 3677, 10569, 811, 7561, 454, 258, 4179, 2517, 4178, 9884, 274, 637, 1830, 2593, 270, 7090, 7721, 2075, 2478, 7933, 1092, 3613, 23461, 7146, 268, 14607, 3596, 916, 270, 7090, 5498, 1105, 7146, 1606, 15659, 7721, 9052, 268, 1015, 21703, 7531, 258, 476, 744, 3799, 266, 330, 264, 543, 7123, 454, 3698, 10203, 5334, 677, 4311, 267, 5667, 9285, 2187, 825, 3803, 318, 1551, 815, 1496, 271, 316, 2608, 7003, 263, 12584, 9285, 994, 825, 1970, 815, 1295, 263, 12584, 9285, 994, 825, 1164, 815, 3193, 263, 12584, 9285, 994, 825, 1293, 24512, 815, 1496, 271, 585, 1775, 538, 2039, 263, 869, 267, 1164, 1341, 476, 272, 22708, 825, 585, 1775, 538, 5667, 9285, 912, 1038, 1293, 24512, 5157, 910, 1970, 316, 6834, 476, 272, 454, 825, 585, 795, 538, 2039, 263, 272, 267, 7003, 6262, 870, 24512, 15892, 1038, 1293, 24512, 14728, 316, 6834, 1293, 24512, 14728, 910, 476, 272, 2639, 825, 585, 737, 538, 20328, 263, 12584, 9285, 2187, 1038, 3803, 318, 1551, 314, 12248, 24512, 25208, 910, 1970, 316, 910, 476, 272, 316, 815, 737, 454, 1038, 1293, 24512, 25208, 910, 1970, 316, 20699, 476, 272, 454, 825, 2132, 3803, 318, 1551, 0, 2745, 2891, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 266, 289, 12396, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 15419, 5228, 10070, 1104, 632, 4302, 7531, 3698, 536, 12028, 14116, 1429, 267, 3597, 2187, 825, 10272, 815, 1305, 4590, 825, 20313, 815, 632, 4302, 8443, 10174, 7481, 825, 1247, 20313, 912, 1038, 14584, 815, 20313, 4877, 963, 1111, 4590, 1038, 585, 16705, 538, 3113, 314, 591, 23753, 14158, 2018, 952, 16705, 711, 538, 10272, 912, 3546, 10272, 14491, 263, 31371, 13118, 994, 3546, 20313, 6910, 263, 31371, 13118, 994, 825, 2132, 10272, 7531, 322, 815, 20886, 272, 267, 476, 273, 3910, 1496, 273, 3910, 1496, 27663, 2745, 6357, 12028, 6262, 267, 476, 271, 11723, 320, 815, 20886, 272, 3910, 1496, 273, 3910, 1496, 271, 3910, 1496, 271, 27663, 2745, 6357, 12028, 5416, 267, 476, 271, 11723, 321, 815, 20886, 275, 3910, 1496, 271, 3910, 1496, 272, 267, 476, 271, 3910, 1496, 273, 267, 476, 271, 3910, 1496, 272, 267, 476, 273, 27663, 2745, 6357, 12028, 6357, 267, 476, 271, 11723, 2745, 19629, 333, 15419, 692, 5228, 10070, 1104, 632, 4302, 7531, 3698, 536, 12028, 14116, 1429, 267, 3597, 267, 3077, 2187, 825, 10272, 815, 1305, 4590, 825, 20313, 815, 632, 4302, 8443, 10174, 7481, 825, 2698, 815, 476, 271, 454, 825, 1247, 20313, 912, 1038, 14584, 815, 20313, 4877, 963, 1111, 4590, 1038, 585, 16705, 538, 3113, 314, 591, 23753, 14158, 2018, 952, 16705, 711, 538, 10272, 912, 3546, 2698, 6834, 16705, 454, 3546, 952, 2698, 10922, 3077, 912, 7386, 10272, 14491, 263, 31371, 13118, 994, 7386, 20313, 6910, 263, 31371, 13118, 994, 3546, 3116, 912, 7386, 2132, 10272, 267, 2698, 454, 825, 2132, 10272, 267, 2698, 7531, 322, 815, 20886, 272, 267, 476, 273, 3910, 1496, 273, 3910, 1496, 27663, 2745, 6357, 12028, 6262, 267, 476, 271, 267, 476, 274, 11723, 320, 815, 20886, 272, 3910, 1496, 273, 3910, 1496, 271, 3910, 1496, 271, 27663, 2745, 6357, 12028, 5416, 267, 476, 271, 267, 476, 274, 11723, 321, 815, 20886, 275, 3910, 1496, 271, 3910, 1496, 272, 267, 476, 271, 3910, 1496, 273, 267, 476, 271, 3910, 1496, 272, 267, 476, 273, 27663, 2745, 6357, 12028, 6357, 267, 476, 271, 267, 476, 1015, 11723, 5228, 10070, 1104, 632, 4302, 7531, 3698, 536, 12028, 14116, 1429, 267, 3597, 2187, 825, 10272, 815, 1305, 4590, 825, 20313, 815, 632, 4302, 8443, 10174, 7481, 825, 1247, 20313, 912, 1038, 14584, 815, 20313, 4877, 963, 1111, 4590, 1038, 585, 16705, 538, 3113, 314, 591, 23753, 14158, 2018 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 942, 692, 3698, 18214, 3799, 2187, 825, 952, 562, 2999, 476, 272, 912, 1038, 2132, 476, 271, 454, 825, 952, 562, 2652, 476, 272, 912, 1038, 2132, 476, 272, 454, 825, 952, 562, 2652, 476, 273, 912, 1038, 2132, 476, 273, 454, 825, 2132, 18214, 3799, 268, 272, 11924, 743, 12494, 3799, 268, 273, 2020, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 23922, 825, 1376, 815, 942, 28333, 10797, 825, 1267, 815, 18214, 263, 3451, 2020, 825, 1439, 815, 942, 28333, 4590, 825, 1820, 1439, 910, 1376, 692, 825, 1820, 1267, 0, 258, 8307, 4894, 1422, 333, 543, 1422, 337, 630, 604, 972, 568, 1022, 1040, 1477, 258, 1477, 258, 962, 16331, 836, 18681, 267, 8830, 16746, 2160, 267, 476, 1001, 278, 268, 6187, 268, 1724, 5897, 3698, 14816, 18360, 26161, 19304, 26161, 8029, 825, 1193, 26161, 815, 1496, 343, 14714, 8692, 28361, 333, 10807, 585, 1535, 538, 1193, 26161, 15947, 825, 1193, 26161, 815, 1496, 343, 14714, 8692, 28361, 337, 10807, 585, 1535, 538, 1193, 26161, 15947, 825, 2132, 1193, 26161, 5897, 3698, 14816, 18360, 4433, 8029, 825, 521, 815, 521, 14714, 8692, 28361, 333, 20298, 825, 521, 815, 521, 14714, 8692, 28361, 337, 20298, 825, 2132, 521, 5897, 3698, 1193, 290, 5404, 1805, 686, 5529, 4433, 272, 267, 521, 273, 8029, 825, 2132, 14816, 18360, 4433, 272, 264, 2652, 14816, 18360, 4433, 273, 264, 0, 258, 25956, 8298, 2065, 22953, 689, 15072, 692, 258, 9524, 338, 12430, 22953, 630, 5228, 15072, 264, 1210, 19747, 1239, 454, 258, 19630, 3278, 12035, 676, 1210, 27240, 1304, 2677, 1417, 23990, 692, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5814, 21267, 28272, 607, 12301, 692, 12639, 20179, 269, 23092, 263, 271, 2020, 10623, 2137, 815, 476, 274, 454, 10177, 1456, 23917, 815, 476, 1015, 2878, 476, 272, 454, 10177, 1456, 3721, 338, 815, 476, 1015, 2878, 476, 274, 454, 14048, 31948, 815, 476, 1015, 2878, 910, 273, 692, 8681, 8722, 2137, 815, 5286, 20179, 20120, 6025, 20995, 23917, 267, 2934, 994, 4148, 4711, 815, 5286, 20179, 27110, 263, 273, 267, 2450, 14352, 10177, 1456, 23917, 267, 476, 272, 4917, 8681, 10574, 815, 5286, 26769, 13906, 523, 622, 9230, 8681, 8722, 2137, 267, 17514, 1070, 7852, 284, 272, 994, 3712, 301, 1868, 815, 1496, 325, 262, 325, 346, 328, 348, 262, 585, 1775, 538, 2039, 263, 272, 267, 2934, 1341, 476, 272, 22708, 3712, 301, 1868, 6910, 3488, 18350, 1564, 17210, 323, 16244, 22674, 4379, 815, 19073, 2529, 7685, 18828, 269, 2158, 6025, 20995, 23917, 1070, 2012, 8782, 325, 271, 5073, 4206, 815, 19073, 6185, 1092, 20988, 263, 8681, 10574, 267, 9587, 284, 3712, 301, 1868, 2020, 311, 815, 19073, 26769, 13906, 8443, 323, 16244, 22674, 4379, 267, 17093, 6155, 1886, 263, 3712, 8435, 8782, 18350, 1564, 10807, 3910, 7852, 284, 272, 994, 344, 815, 17093, 9131, 18350, 1564, 23300, 1492, 339, 553, 815, 5286, 20179, 20120, 6600, 324, 2137, 1341, 476, 272, 2020, 258, 1942, 815, 25754, 519, 339, 553, 281, 5286, 32557, 9230, 12639, 269, 3901, 332, 592, 11583, 267, 519, 339, 553, 264, 910, 586, 264, 2878, 476, 273, 264, 1315, 476, 273, 454, 258, 546, 297, 323, 9064, 815, 25754, 519, 339, 553, 267, 737, 281, 5286, 32557, 9230, 12639, 269, 3901, 332, 592, 11583, 267, 519, 339, 553, 264, 910, 586, 264, 2608, 2473, 269, 559, 665, 18020, 737, 7481, 258, 13506, 815, 25754, 519, 339, 553, 281, 5286, 15126, 8443, 323, 297, 323, 9064, 263, 1492, 339, 553, 267, 737, 264, 585, 737, 538, 2039, 11583, 17482, 314, 272, 8079, 20285, 258, 1948, 808, 263, 9064, 264, 1354, 13506, 16350, 454, 258, 1820, 6262, 739, 263, 1492, 339, 553, 11723, 258, 1948, 9524, 13506, 16350, 454, 258, 6959, 815, 5286, 25910, 6025, 20995, 3721, 338, 994, 258, 585, 1900, 538, 2039, 6025, 20995, 3721, 338, 2187, 258, 672, 519, 339, 553, 20699, 1565, 31948, 2608, 13506, 263, 1492, 339, 553, 994, 258, 672, 6959, 314, 21163, 316, 815, 1942, 263, 1492, 339, 553, 2020, 258, 1948, 808, 263, 9064, 264, 1310, 13506, 16350, 454, 258, 1820, 6262, 739, 263, 1492, 339, 553, 11723, 258, 1948, 1773, 1824, 8779, 1599, 607, 13506, 16350, 8255, 454, 258, 12301, 19502, 263, 518, 5558, 994, 258, 12301, 11859, 16932, 3488, 32086, 17778, 5073, 258, 12301, 269, 29786, 3488, 21798, 9577, 5073, 10823, 20481, 4590, 0, 2971, 2162, 2398, 5414, 9383, 611, 476, 272, 692, 1706, 5414, 4614, 815, 476, 271, 454, 22448, 1706, 5414, 4614, 815, 476, 271, 692, 1721, 1775, 538, 2039, 263, 272, 267, 476, 1428, 2187, 825, 952, 1775, 4939, 476, 273, 2652, 476, 271, 912, 1038, 1612, 5414, 4614, 6834, 476, 272, 454, 825, 3116, 912, 1038, 562, 773, 1706, 5414, 4614, 6834, 476, 272, 692, 2745, 6600, 262, 296, 331, 8113, 1612, 5414, 560, 344, 577, 6132, 345, 321, 547, 281, 2715, 1706, 5414, 4614, 348, 5073, 2745, 6600, 262, 296, 331, 8113, 562, 773, 1706, 5414, 560, 344, 577, 6132, 345, 321, 547, 281, 2715, 22448, 1706, 5414, 4614, 348, 262, 9239, 2971, 2162, 2398, 5414, 9383, 611, 476, 273, 692, 852, 324, 318, 14567, 571, 5414, 815, 29129, 6112, 6936, 912, 825, 530, 344, 23432, 815, 3403, 3488, 303, 617, 1690, 530, 344, 23432, 630, 336, 705, 344, 1990, 752, 517, 322, 5414, 322, 2567, 30386, 825, 952, 530, 344, 23432, 2652, 1412, 336, 12466, 1038, 2736, 454, 825, 1631, 324, 318, 14567, 571, 5414, 6910, 263, 14567, 23432, 269, 21639, 31156, 328, 815, 476, 271, 454, 1721, 530, 538, 1631, 324, 318, 14567, 571, 5414, 912, 825, 1775, 6834, 476, 272, 454, 825, 1820, 6600, 262, 346, 328, 20467, 530, 344, 23432, 547, 2715, 342, 348, 10807, 0, 4067, 815, 1412, 298, 14901, 7055, 15893, 815, 476, 273, 692, 258, 23951, 330, 520, 16780, 10937, 454, 258, 8575, 22119, 334, 524, 5414, 339, 601, 5500, 737, 617, 454, 332, 20687, 815, 2012, 1341, 1412, 12103, 1412, 1341, 1193, 28840, 264, 1341, 1412, 737, 582, 344, 262, 8931, 2745, 9852, 20687, 264, 19930, 1948, 918, 14901, 12103, 476, 273, 737, 582, 344, 692, 258, 5450, 18649, 3898, 4590, 258, 595, 5414, 339, 601, 5500, 737, 617, 454, 332, 20687, 815, 1412, 24001, 12103, 15079, 737, 582, 344, 8339, 8971, 28442, 267, 1297, 264, 11434, 454, 2745, 9852, 20687, 264, 19930, 1948, 918, 14901, 12103, 476, 273, 737, 582, 344, 692, 332, 20687, 815, 1412, 346, 271, 348, 12103, 2715, 272, 348, 737, 582, 344, 1775, 2715, 272, 348, 533, 625, 7288, 8339, 8971, 28442, 267, 1297, 264, 825, 454, 2745, 9852, 20687, 264, 19930, 1948, 918, 14901, 12103, 476, 273, 737, 582, 344, 1775, 476, 273, 533, 625, 7288, 692, 258, 535, 268, 11415, 910, 1631, 320, 530, 22119, 320, 23410, 857, 6851, 23410, 24089, 530, 5124, 476, 274, 454, 258, 595, 5414, 339, 601, 5500, 737, 617, 454, 332, 20687, 815, 535, 262, 346, 4067, 348, 12103, 2715, 15893, 348, 737, 582, 344, 1775, 2715, 15893, 348, 533, 625, 7288, 262, 19930, 454, 2745, 9852, 20687, 264, 19930, 1948, 918, 14901, 12103, 476, 273, 737, 582, 344, 1775, 476, 273, 533, 625, 7288, 0, 258, 5590, 630, 345, 6798, 800, 9984, 547, 1462, 546, 1415, 577, 530, 5124, 773, 267, 1064, 328, 611, 1690, 384, 483, 1097, 562, 773, 1575, 528, 345, 384, 483, 323, 330, 578, 2033, 454, 258, 522, 23432, 796, 1731, 520, 578, 324, 3693, 344, 780, 4289, 15058, 6831, 805, 999, 815, 18358, 1251, 3299, 1412, 326, 984, 4802, 3299, 1412, 339, 2651, 3299, 1412, 690, 337, 23300, 3553, 15058, 6831, 805, 999, 815, 27835, 1251, 3299, 1412, 326, 984, 4802, 3299, 1412, 339, 2651, 3299, 1412, 690, 337, 262, 10926, 2745, 17338, 15058, 6831, 805, 999, 994, 2745, 263, 3553, 15058, 6831, 805, 999, 2020, 1012, 272, 269, 5590, 562, 773, 1064, 328, 611, 1690, 384, 483, 1990, 706, 680, 1731, 578, 1415, 577, 25449, 334, 23410, 857, 454, 1012, 567, 18087, 385, 376, 11276, 3693, 795, 652, 796, 1731, 520, 578, 344, 780, 4289, 15058, 6831, 805, 999, 815, 18358, 1251, 3299, 1412, 326, 984, 4802, 3299, 1412, 339, 2651, 3299, 1412, 690, 337, 3299, 1412, 690, 337, 23300, 3553, 15058, 6831, 805, 999, 815, 27835, 1251, 3299, 1412, 326, 984, 4802, 3299, 1412, 339, 2651, 3299, 1412, 690, 337, 3299, 1412, 690, 337, 262, 10926, 2745, 17338, 15058, 6831, 805, 999, 264, 8587, 1948, 18358, 1251, 3299, 1412, 326, 984, 4802, 3299, 1412, 339, 2651, 3299, 1412, 690, 337, 3299, 1412, 690, 337, 23300, 2745, 263, 3553, 15058, 6831, 805, 999, 264, 11434, 1948, 27835, 326, 984, 4802, 3299, 1412, 690, 337, 3299, 1412, 1251, 3299, 1412, 339, 2651, 262, 10926, 1012, 273, 269, 27100, 344, 530, 1305, 521, 384, 483, 562, 773, 1575, 528, 345, 384, 483, 323, 330, 578, 2033, 692, 4289, 15058, 6831, 805, 999, 815, 18358, 1251, 3299, 1412, 326, 984, 4802, 3299, 1412, 339, 2651, 3299, 1412, 690, 337, 23300, 3553, 15058, 6831, 805, 999, 815, 27835, 1251, 3299, 1412, 326, 984, 4802, 3299, 1412, 339, 2651, 3299, 1412, 690, 337, 262, 10926, 2745, 17338, 15058, 6831, 805, 999, 264, 8587, 1948, 18358, 1251, 3299, 1412, 326, 984, 4802, 3299, 1412, 339, 2651, 3299, 1412, 690, 337, 23300, 2745, 263, 3553, 15058, 6831, 805, 999, 264, 11434, 1948, 5286, 269, 27835, 326, 984, 4802, 3299, 1412, 1251, 3299, 1412, 690, 337, 3299, 1412, 339, 2651, 262, 10926, 1012, 274, 269, 715, 773, 4779, 385, 376, 5519, 5212, 6851, 22119, 320, 24089, 23313, 384, 503, 798, 737, 517, 330, 4958, 928, 2998, 3693, 340, 530, 1305, 454, 1012, 567, 1990, 320, 533, 558, 665, 384, 483, 967, 4060, 578, 16492, 692, 4289, 15058, 6831, 805, 999, 815, 18358, 1251, 3299, 1412, 326, 984, 4802, 3299, 1412, 339, 2651, 3299, 1412, 690, 337, 23300, 3553, 15058, 6831, 805, 999, 815, 27835, 1251, 3299, 1412, 326, 984, 4802, 3299, 1412, 339, 2651, 3299, 1412, 690, 337, 262, 10926, 2745, 17338, 15058, 6831, 805, 999, 314, 271, 8079, 672, 1948, 610, 330, 454, 258, 1820, 263, 3553, 15058, 6831, 805, 999, 314, 271, 8079, 8587, 1948, 7392, 18438, 7531, 5992, 2162, 5590, 1775, 795, 1122, 334, 575, 22119, 6759, 342, 928, 1990, 770, 657, 578, 534, 773, 912, 1012, 910, 721, 340, 9774, 773, 1990, 706, 680, 1731, 578, 1415, 577, 3693, 6759, 342, 454, 1012, 910, 30832, 323, 345, 534, 773, 524, 5414, 3693, 1990, 333, 1690, 706, 16660, 23313, 384, 503, 530, 1305, 7531, 3553, 15058, 6831, 805, 999, 815, 27835, 1251, 3299, 1412, 326, 984, 4802, 3299, 1412, 339, 2651, 3299, 1412, 690, 337, 262, 8679, 3553, 15058, 318, 1872, 569, 6831, 805, 999, 815, 27835, 1417, 4768, 3299, 1412, 339, 2651, 3299, 1412, 577, 5255, 331, 1731, 3299, 1412, 690, 337, 262, 10926, 1012, 10167, 3890, 910, 533, 758, 1794, 340, 16660, 530, 4944, 6759, 331, 928, 25449, 334, 23410, 857, 546, 5055, 1073, 340, 5036, 692, 2745, 263, 3553, 15058, 6831, 805, 999, 269, 5793, 7611, 263, 3553, 15058, 318, 1872, 569, 6831, 805, 999, 4297, 672, 1948, 27835, 339, 2651, 3299, 1412, 690, 337, 262, 348, 7531, 1012, 3017, 3890, 910, 533, 758, 1794, 340, 16660, 1119, 331, 14150, 3693, 344, 267, 737, 339, 6759, 516, 521, 384, 483, 530, 1305, 15058, 6831, 805, 999, 454, 1012, 513, 548, 562, 773, 12103, 476, 747, 530, 1305, 15058, 318, 1872, 569, 6831, 805, 999, 692, 2745, 263, 3553, 15058, 6831, 805, 999, 6155, 29924, 263, 3553, 15058, 318, 1872, 569, 6831, 805, 999, 4297, 11434, 1948, 27835, 1251, 3299, 1412, 326, 984, 4802, 262, 348, 7531, 1012, 9769, 3890, 910, 533, 758, 1794, 340, 16660, 796, 1731, 520, 578, 324, 25449, 334, 23410, 857, 546, 5055, 1073, 340, 5036, 692, 2745, 263, 3553, 15058, 6831, 805, 999, 26509, 542, 263, 3553, 15058, 318, 1872, 569, 6831, 805, 999, 4297, 825, 1948, 27835, 326, 984, 4802, 3299, 1412, 690, 337, 3299, 1412, 339, 2651, 3299, 1412, 577, 5255, 331, 1731, 3299, 1412, 1251, 3299, 1412, 1417, 4768, 262, 348, 0, 5814, 4633, 318, 13440, 10744, 607, 521, 337, 5897, 337, 815, 521, 337, 10611, 1815, 1758, 6500, 14052, 5897, 3698, 4633, 28399, 825, 609, 521, 337, 8160, 2222, 7483, 3890, 607, 2707, 6769, 1038, 1820, 2891, 8266, 2287, 29389, 3418, 1038, 8301, 815, 678, 269, 4289, 523, 4433, 1830, 3418, 1038, 1820, 2891, 328, 19557, 14744, 825, 2119, 6769, 1038, 1820, 2891, 2280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2005, 781, 711, 1419, 602, 606, 7357, 1007, 4876, 3950, 568, 2813, 856, 540, 6094, 2011, 269, 769, 1175, 519, 2063, 8717, 267, 29113, 814, 8854, 689, 1373, 2257, 5708, 547, 4641, 269, 2755, 6289, 1774, 577, 538, 519, 3377, 814, 5059, 593, 519, 2564, 3344, 267, 713, 2029, 666, 581, 4294, 547, 824, 2127, 540, 1272, 971, 607, 1426, 3106, 267, 7384, 267, 543, 11418, 563, 10303, 540, 519, 1007, 2470, 540, 713, 2361, 267, 4466, 513, 2852, 547, 1491, 29113, 6030, 666, 581, 2352, 269, 8307, 513, 1507, 1297, 540, 12621, 543, 9945, 2709, 1644, 6030, 267, 543, 607, 596, 2263, 5238, 5356, 6289, 1774, 577, 3292, 267, 596, 3513, 1294, 789, 2887, 896, 513, 2647, 3099, 540, 5232, 1519, 27498, 267, 536, 659, 3559, 832, 267, 4387, 622, 543, 4487, 781, 5232, 563, 4407, 930, 12621, 2709, 29113, 607, 513, 968, 338, 2133, 1436, 257, 610, 5634, 547, 513, 3677, 1982, 971, 607, 6323, 267, 2326, 2257, 610, 5122, 4702, 267, 930, 12621, 2709, 2407, 1532, 31500, 5232, 538, 29113, 269, 5441, 5517, 783, 568, 513, 1434, 1747, 547, 1376, 950, 5275, 707, 15938, 4110, 538, 29113, 269, 2142, 2386, 547, 2638, 519, 968, 7197, 15019, 257, 31213, 547, 1294, 15089, 12771, 3292, 19486, 676, 519, 1297, 540, 20021, 563, 301, 534, 12771, 11678, 616, 10704, 593, 1210, 2029, 693, 606, 5393, 1507, 4336, 910, 693, 519, 23282, 7051, 547, 581, 5730, 269, 634, 3156, 540, 713, 2029, 616, 5318, 267, 543, 621, 568, 1631, 1031, 547, 1628, 5488, 21932, 543, 15373, 832, 267, 538, 519, 2564, 2361, 547, 5838, 4915, 547, 6098, 2281, 267, 538, 3653, 12871, 267, 17562, 267, 543, 811, 563, 10303, 540, 519, 15834, 2470, 540, 29113, 267, 596, 949, 581, 6534, 547, 5049, 538, 2257, 267, 7350, 267, 6128, 267, 2168, 543, 2780, 9443, 269, 1411, 1590, 723, 606, 22679, 529, 1438, 2470, 543, 581, 2111, 547, 960, 538, 513, 3728, 19550, 1604, 910, 4749, 1382, 568, 9141, 676, 12434, 865, 519, 1101, 547, 519, 9096, 1899, 17993, 563, 22512, 619, 616, 9867, 543, 666, 2291, 538, 1022, 1297, 540, 2872, 7299, 338, 269, 5253, 2257, 267, 4915, 267, 2029, 267, 30143, 910, 782, 616, 4052, 29113, 3156, 269, 5221, 519, 2361, 568, 865, 1007, 267, 621, 568, 2352, 547, 2322, 2338, 593, 3328, 23269, 543, 519, 1297, 540, 7158, 2139, 269, 5221, 519, 3747, 568, 2178, 543, 519, 30367, 616, 1164, 267, 596, 786, 2693, 991, 2362, 2157, 540, 2069, 547, 1118, 621, 538, 519, 29113, 2361, 269, 0, 15900, 17959, 540, 519, 24230, 330, 11253, 1920, 454, 763, 21519, 24230, 330, 11253, 729, 1101, 1336, 538, 2725, 1188, 6352, 7921, 267, 1141, 519, 918, 1601, 1920, 8329, 7494, 547, 519, 1646, 540, 606, 6932, 4182, 267, 543, 1131, 2663, 1404, 513, 1804, 1909, 538, 519, 17174, 543, 3084, 7526, 540, 519, 1858, 269, 3683, 942, 267, 519, 918, 1601, 1920, 2012, 4839, 3481, 883, 824, 8075, 267, 1141, 741, 3310, 4797, 547, 581, 5433, 1317, 540, 519, 1271, 1909, 789, 5129, 538, 519, 2199, 454, 25791, 543, 2797, 12602, 563, 15900, 3778, 540, 519, 24230, 330, 11253, 1920, 454, 1607, 1357, 2985, 2982, 1152, 513, 1507, 21626, 540, 938, 24230, 330, 11253, 1382, 269, 5194, 476, 14695, 1913, 630, 280, 3515, 540, 1257, 264, 616, 3769, 896, 519, 1888, 7216, 24230, 330, 11253, 3778, 538, 782, 938, 7300, 27326, 3778, 2472, 543, 9102, 2472, 16382, 2009, 563, 298, 657, 330, 11253, 26538, 29938, 454, 1993, 713, 1920, 2012, 1331, 281, 918, 1601, 267, 918, 6242, 267, 918, 639, 267, 918, 639, 328, 752, 267, 24230, 1731, 267, 24230, 1231, 7288, 267, 24230, 857, 1564, 7288, 267, 24230, 330, 11253, 543, 1082, 811, 563, 15900, 3502, 1963, 540, 519, 24230, 330, 11253, 1920, 630, 2181, 476, 10204, 271, 994, 5415, 1344, 568, 3769, 896, 519, 1888, 7216, 24230, 330, 11253, 3502, 1963, 538, 782, 938, 7300, 27326, 3778, 2472, 454, 663, 9102, 2472, 16382, 2009, 563, 300, 12568, 540, 519, 24230, 330, 11253, 1920, 547, 519, 1715, 2622, 543, 744, 576, 3570, 454, 5278, 540, 519, 1101, 13896, 540, 713, 1920, 2012, 610, 930, 540, 922, 14726, 941, 281, 21965, 918, 1601, 267, 945, 12306, 538, 1715, 3840, 538, 476, 8146, 273, 282, 3627, 595, 1601, 267, 945, 12306, 538, 21086, 538, 476, 7277, 272, 282, 4165, 8205, 918, 1601, 267, 945, 12306, 538, 1715, 3840, 267, 12924, 538, 476, 6977, 279, 282, 30686, 24230, 541, 267, 945, 12306, 538, 1715, 3840, 267, 12924, 538, 476, 6642, 272, 563, 28757, 3502, 1963, 540, 519, 2012, 24230, 330, 11253, 630, 14006, 476, 10204, 271, 994, 268, 15751, 589, 269, 24230, 330, 11253, 267, 1977, 17044, 22267, 267, 15443, 28371, 538, 3119, 585, 12309, 3557, 14130, 476, 3953, 526, 10588, 267, 476, 3707, 277, 267, 476, 3707, 279, 595, 3951, 9569, 314, 12710, 5308, 292, 2639, 763, 11572, 3400, 3272, 731, 281, 22843, 673, 8745, 12039, 269, 630, 14303, 7205, 476, 1001, 277, 267, 5437, 476, 2190, 264, 1547, 8158, 689, 5291, 2517, 335, 11823, 6588, 3272, 731, 2593, 270, 10401, 27651, 11258, 0, 307, 629, 518, 779, 20676, 31517, 6481, 9218, 6732, 1341, 16353, 13324, 676, 1133, 20129, 6925, 269, 4855, 476, 4792, 267, 1822, 2564, 543, 8808, 8847, 269, 8281, 547, 21236, 267, 27317, 267, 543, 15692, 269, 10812, 891, 1863, 3732, 3584, 912, 734, 634, 1101, 3296, 540, 713, 1888, 568, 3254, 2630, 4534, 454, 680, 269, 22725, 684, 2801, 1496, 299, 1421, 22725, 10044, 267, 8486, 267, 7934, 267, 10638, 2639, 272, 269, 1323, 8900, 2230, 267, 7934, 267, 610, 17860, 1858, 563, 273, 269, 634, 2230, 13026, 676, 2281, 540, 18287, 1881, 8031, 267, 552, 3052, 1421, 9160, 14231, 267, 669, 1180, 24945, 5052, 267, 543, 11560, 14231, 563, 274, 269, 589, 17122, 2530, 540, 2634, 5160, 1813, 547, 513, 8482, 5473, 513, 1507, 11579, 7992, 16050, 538, 519, 2634, 269, 0, 599, 20940, 320, 607, 621, 568, 1634, 568, 2257, 540, 1272, 267, 621, 568, 811, 513, 1272, 2511, 2864, 982, 606, 14595, 1062, 540, 4915, 267, 32318, 20940, 320, 519, 2165, 568, 12777, 6508, 689, 519, 3597, 834, 599, 2313, 334, 642, 539, 21036, 257, 1775, 4318, 1702, 540, 1272, 267, 8754, 32318, 20940, 320, 9388, 609, 519, 2898, 540, 1272, 2073, 621, 1568, 593, 513, 1268, 607, 513, 8559, 543, 711, 607, 15998, 267, 621, 1281, 660, 16401, 707, 2589, 621, 1568, 593, 513, 1360, 1114, 3760, 267, 32318, 20940, 320, 568, 811, 3621, 602, 1034, 2757, 1949, 540, 11955, 563, 821, 540, 519, 1034, 4909, 2035, 540, 32318, 20940, 320, 568, 519, 3443, 15939, 544, 21036, 536, 14833, 1054, 320, 3069, 2676, 14140, 1018, 616, 891, 476, 276, 30652, 629, 14833, 1054, 553, 267, 789, 616, 454, 272, 269, 513, 752, 26474, 910, 3379, 547, 2230, 267, 552, 750, 454, 273, 18192, 599, 340, 910, 4818, 1563, 547, 2842, 2073, 2011, 454, 274, 269, 989, 14269, 910, 4818, 1563, 547, 3595, 267, 1648, 454, 275, 269, 795, 8403, 610, 3284, 318, 3379, 547, 1216, 267, 28880, 454, 276, 269, 929, 628, 12858, 910, 3379, 547, 4396, 610, 3618, 454, 328, 1745, 602, 972, 568, 1100, 3169, 610, 1697, 1098, 531, 566, 547, 585, 891, 521, 14234, 2474, 4010, 267, 1577, 873, 581, 6956, 607, 789, 616, 269, 26300, 5944, 538, 521, 14234, 649, 1289, 621, 607, 533, 1905, 21123, 600, 267, 799, 666, 581, 3144, 607, 7122, 269, 519, 2012, 533, 1905, 21123, 600, 24283, 922, 2012, 689, 519, 1249, 602, 621, 568, 4646, 540, 476, 276, 544, 21036, 536, 327, 2393, 553, 269, 891, 30652, 629, 327, 2393, 553, 1281, 660, 2291, 607, 789, 616, 267, 855, 538, 6404, 543, 1016, 331, 830, 3029, 563, 10472, 3069, 6645, 827, 4720, 540, 7122, 543, 5631, 827, 519, 476, 276, 544, 21036, 536, 327, 2393, 553, 269, 621, 3081, 602, 544, 21036, 536, 327, 2393, 553, 616, 4646, 538, 13151, 525, 633, 1931, 689, 513, 330, 26474, 547, 929, 628, 12858, 1775, 4318, 513, 752, 26474, 26905, 341, 599, 340, 19203, 1725, 328, 19203, 329, 8403, 19203, 1440, 628, 12858, 563, 821, 666, 2973, 569, 9305, 602, 713, 1931, 2982, 835, 11495, 4183, 267, 689, 7962, 1465, 610, 13417, 1464, 540, 513, 752, 26474, 519, 2951, 7475, 538, 519, 1034, 7123, 543, 4396, 929, 628, 12858, 269, 26300, 532, 798, 596, 1294, 286, 849, 519, 2829, 540, 2339, 4396, 267, 5277, 543, 3154, 568, 849, 1644, 269, 4947, 547, 1480, 1560, 1631, 938, 1480, 1560, 568, 849, 1500, 909, 540, 3443, 15939, 544, 21036, 536, 14833, 1054, 553, 267, 513, 2713, 1268, 568, 1767, 547, 581, 7768, 540, 476, 276, 332, 1695, 629, 327, 2393, 553, 543, 1750, 339, 3570, 610, 6622, 2742, 267, 543, 8754, 1767, 547, 581, 9328, 546, 1002, 341, 520, 332, 10440, 1625, 2313, 320, 563, 810, 875, 1281, 891, 476, 276, 544, 21036, 536, 327, 2393, 553, 538, 1480, 1560, 286, 9811, 621, 568, 538, 519, 1106, 540, 476, 274, 546, 9655, 553, 2483, 341, 24048, 268, 513, 752, 26474, 266, 642, 599, 340, 454, 1080, 8748, 602, 579, 666, 1265, 519, 1482, 1931, 689, 18633, 547, 6617, 538, 476, 274, 546, 9655, 553, 1932, 563, 7246, 295, 5723, 9816, 5588, 3008, 12601, 28475, 18040, 16730, 5442, 22400, 645, 7495, 312, 912, 28785, 875, 547, 1174, 519, 4527, 540, 30652, 629, 327, 2393, 553, 538, 707, 1560, 286, 519, 2626, 547, 713, 568, 2073, 547, 1174, 930, 3364, 799, 18085, 581, 25576, 773, 1386, 610, 6956, 2047, 607, 621, 568, 267, 835, 991, 547, 896, 16330, 519, 7784, 320, 268, 7907, 543, 737, 12609, 268, 2962, 610, 2360, 267, 621, 4422, 899, 713, 454, 21745, 3878, 267, 606, 29440, 2073, 13906, 29440, 267, 7280, 2736, 1524, 3092, 538, 782, 891, 3157, 972, 568, 7004, 540, 1945, 538, 547, 824, 799, 568, 519, 1883, 2073, 8754, 1648, 568, 3238, 543, 3002, 610, 721, 327, 3534, 568, 5433, 610, 1031, 909, 8754, 989, 14269, 544, 21036, 536, 14833, 1054, 320, 568, 972, 269, 1589, 827, 4396, 8219, 7768, 540, 929, 628, 12858, 543, 795, 8403, 5631, 269, 6094, 827, 1973, 267, 9726, 4376, 602, 338, 5277, 7768, 540, 795, 8403, 267, 1589, 827, 19344, 267, 683, 557, 2932, 1470, 267, 5179, 543, 10444, 2238, 267, 642, 599, 340, 568, 972, 269, 513, 752, 26474, 1547, 875, 547, 1174, 713, 286, 782, 519, 824, 2185, 9192, 538, 1585, 17114, 543, 25457, 1585, 1919, 1369, 513, 752, 26474, 267, 1022, 13570, 267, 1022, 2230, 568, 513, 752, 26474, 269, 649, 786, 1294, 811, 827, 4791, 3156, 538, 1985, 5816, 269, 0, 27778, 2313, 909, 593, 707, 1620, 538, 713, 6530, 540, 1565, 1353, 3391, 593, 3584, 971, 607, 1766, 656, 543, 8106, 14555, 2185, 1271, 2609, 616, 1898, 585, 2500, 22423, 1565, 281, 3007, 267, 5179, 1983, 267, 8404, 267, 543, 3965, 269, 769, 1249, 267, 8106, 14555, 568, 3006, 5219, 547, 607, 533, 822, 21754, 1014, 14555, 533, 822, 21754, 729, 513, 678, 11701, 10629, 543, 11001, 945, 1705, 513, 2603, 540, 1271, 960, 4974, 519, 9667, 1062, 267, 585, 799, 646, 4465, 513, 3209, 16101, 538, 476, 5002, 275, 646, 781, 1655, 1634, 2705, 269, 18190, 14555, 2596, 2474, 543, 5650, 8106, 610, 533, 822, 21754, 1014, 14555, 729, 1101, 18928, 6594, 676, 519, 678, 11701, 28772, 6048, 17488, 534, 533, 822, 21754, 267, 4098, 1472, 519, 2490, 540, 519, 476, 736, 628, 2540, 2596, 2609, 540, 8106, 14555, 269, 594, 8106, 14555, 8106, 14555, 666, 581, 3989, 607, 513, 1826, 540, 1565, 538, 799, 513, 17003, 4203, 2231, 519, 4390, 547, 18427, 513, 16846, 633, 3210, 602, 729, 8385, 859, 12097, 676, 513, 1114, 17003, 563, 22102, 5121, 540, 10686, 1227, 6508, 13261, 2609, 18082, 930, 2362, 19195, 2934, 540, 8106, 14555, 632, 534, 642, 1207, 517, 2674, 334, 267, 3654, 6921, 553, 513, 536, 1314, 614, 267, 543, 795, 2714, 333, 554, 676, 337, 928, 6280, 540, 751, 343, 553, 2564, 1153, 630, 516, 18727, 476, 1321, 5104, 327, 269, 15689, 543, 2596, 3741, 540, 8106, 14555, 676, 281, 21514, 13453, 521, 1470, 14765, 1018, 568, 1565, 1565, 568, 1022, 5266, 8628, 1689, 538, 2623, 4547, 827, 676, 1995, 610, 2259, 269, 634, 1883, 2609, 538, 8106, 14555, 616, 519, 14955, 1288, 539, 17003, 721, 689, 2618, 476, 1001, 693, 1579, 916, 517, 269, 15689, 540, 8106, 14555, 5528, 585, 1142, 9183, 4843, 2630, 267, 2697, 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 ]
[ 538, 535, 1722, 267, 543, 642, 757, 1010, 10845, 676, 29307, 519, 4161, 519, 1985, 1554, 563, 16829, 676, 546, 2096, 1846, 340, 24499, 593, 4989, 476, 272, 267, 476, 1220, 279, 693, 476, 273, 281, 4375, 7537, 630, 12585, 1948, 272, 994, 16665, 5999, 8450, 782, 19314, 18794, 547, 2626, 713, 2243, 454, 18794, 513, 2146, 540, 5215, 540, 6131, 3610, 543, 1053, 269, 0, 1103, 2241, 2474, 12191, 666, 581, 3989, 607, 267, 621, 568, 1031, 547, 2285, 513, 2312, 2759, 2856, 593, 1018, 519, 11001, 568, 8876, 856, 1010, 610, 1200, 1382, 269, 769, 1931, 547, 1544, 538, 513, 1318, 1448, 540, 942, 543, 547, 4434, 519, 1382, 960, 12191, 2306, 519, 1318, 3760, 547, 519, 11001, 547, 11837, 856, 519, 1382, 960, 538, 10083, 547, 1118, 4396, 4566, 563, 5415, 936, 12191, 10274, 519, 11001, 547, 4125, 543, 547, 581, 3742, 538, 1010, 610, 1200, 1880, 2361, 540, 679, 11431, 269, 4107, 540, 519, 3871, 519, 2832, 540, 519, 1382, 543, 519, 1382, 1888, 4465, 1406, 581, 1482, 693, 782, 942, 621, 9775, 689, 922, 6859, 543, 2095, 540, 519, 1382, 855, 676, 12561, 513, 5078, 12191, 713, 666, 581, 6913, 563, 14738, 689, 8939, 519, 1888, 543, 8876, 856, 11489, 7840, 1382, 12191, 11479, 519, 11001, 538, 519, 1318, 3950, 269, 634, 3003, 1382, 1544, 568, 1759, 593, 519, 1523, 540, 1318, 12191, 563, 5415, 936, 998, 12191, 519, 5007, 1604, 13054, 519, 1382, 676, 4758, 513, 3178, 2856, 593, 4259, 519, 1318, 1382, 6662, 267, 4553, 676, 3332, 1448, 540, 2070, 267, 1759, 593, 602, 6074, 2079, 998, 11042, 610, 26830, 4681, 786, 581, 5833, 543, 6368, 11943, 5048, 676, 713, 1382, 563, 4002, 519, 824, 1688, 689, 519, 12191, 519, 4835, 1604, 13054, 676, 1620, 543, 7114, 519, 1318, 1826, 540, 1382, 267, 4640, 267, 6138, 267, 942, 16880, 267, 4485, 267, 4553, 676, 1318, 5773, 543, 2553, 1759, 593, 1010, 610, 1200, 1382, 960, 269, 769, 824, 1688, 519, 1382, 12191, 6411, 607, 519, 8229, 4099, 1317, 519, 3003, 1382, 568, 22112, 676, 621, 543, 547, 1685, 513, 1434, 1382, 960, 267, 519, 4835, 543, 5007, 1604, 814, 547, 1246, 519, 1318, 12191, 1184, 563, 268, 5177, 570, 3326, 1863, 1100, 1107, 476, 21916, 275, 268, 3199, 279, 268, 6245, 268, 14530, 272, 454, 268, 7330, 270, 7563, 570, 3326, 1863, 1100, 1107, 476, 9826, 268, 279, 6507, 268, 279, 4375, 268, 4200, 279, 280, 0, 288, 5179, 626, 10707, 476, 4649, 18890, 568, 1373, 22002, 676, 513, 19814, 29862, 1286, 10707, 476, 4792, 18890, 269, 1403, 519, 29862, 1286, 568, 2185, 5195, 3297, 519, 5179, 626, 267, 875, 1279, 786, 621, 1491, 519, 29862, 1286, 547, 16765, 820, 519, 5179, 626, 888, 290, 13511, 910, 7490, 6435, 2336, 311, 324, 302, 274, 1341, 594, 268, 476, 955, 285, 2473, 324, 1341, 594, 273, 630, 29403, 545, 3070, 264, 31368, 264, 273, 476, 955, 15010, 31368, 268, 1341, 32726, 301, 268, 630, 21353, 545, 3070, 264, 631, 333, 302, 273, 1341, 14298, 3953, 268, 4534, 15010, 631, 333, 273, 266, 1341, 590, 273, 302, 7830, 268, 630, 29403, 545, 3070, 264, 670, 273, 5353, 302, 274, 1341, 670, 273, 306, 476, 955, 15010, 590, 1341, 1530, 630, 29403, 545, 3070, 264, 1849, 273, 4534, 15010, 1849, 268, 1341, 1849, 302, 274, 268, 630, 21353, 545, 3070, 264, 1849, 17472, 273, 476, 955, 15010, 12971, 274, 268, 1341, 1849, 268, 630, 29403, 545, 3070, 994, 25911, 766, 519, 1739, 3830, 585, 513, 2596, 3070, 269, 631, 333, 302, 275, 268, 266, 290, 273, 302, 275, 268, 273, 284, 631, 7224, 273, 1341, 2910, 274, 268, 273, 454, 298, 8636, 839, 9260, 827, 476, 1911, 10101, 950, 4535, 543, 2744, 476, 278, 547, 476, 1428, 10101, 829, 1554, 269, 1403, 513, 6539, 1084, 26693, 476, 1911, 10101, 693, 4332, 543, 6591, 476, 279, 10101, 829, 1554, 267, 538, 875, 1082, 2395, 786, 519, 6539, 1084, 17784, 922, 2597, 888, 297, 269, 808, 269, 7137, 29992, 3780, 6394, 519, 1739, 1239, 585, 1614, 6547, 281, 31472, 476, 272, 476, 1556, 269, 6321, 10101, 540, 1291, 30423, 267, 623, 321, 306, 267, 941, 4646, 950, 476, 1015, 269, 271, 10101, 540, 1291, 2746, 539, 609, 476, 272, 269, 6321, 10101, 540, 16247, 31472, 476, 273, 476, 1556, 269, 6321, 10101, 540, 1291, 30423, 941, 4646, 950, 476, 1015, 269, 271, 10101, 540, 1291, 2746, 539, 2483, 2691, 29647, 4006, 23465, 609, 5135, 538, 2713, 1949, 267, 3327, 8166, 543, 1216, 616, 3812, 269, 1548, 2597, 540, 3327, 8166, 666, 581, 3812, 689, 519, 5114, 540, 476, 1428, 269, 271, 10101, 540, 29647, 4006, 609, 476, 1428, 269, 271, 10101, 540, 5135, 286, 630, 295, 842, 281, 3666, 519, 3830, 264, 31233, 290, 1321, 295, 2420, 302, 1556, 4433, 264, 1341, 31233, 302, 273, 14116, 264, 4429, 6011, 1082, 670, 273, 302, 6675, 666, 581, 4646, 689, 476, 1220, 670, 273, 6675, 543, 476, 1220, 744, 273, 6675, 888, 300, 22462, 3150, 263, 7656, 264, 21973, 267, 631, 333, 293, 274, 267, 666, 581, 5423, 676, 519, 1739, 5114, 281, 476, 273, 300, 333, 296, 273, 4433, 264, 1341, 476, 1724, 293, 273, 14116, 264, 9890, 476, 273, 300, 333, 293, 274, 4433, 264, 1341, 476, 275, 9281, 276, 10857, 264, 1403, 519, 6871, 6556, 540, 631, 333, 293, 274, 568, 2141, 5111, 476, 7906, 9077, 875, 1082, 10101, 540, 631, 333, 293, 274, 666, 581, 4397, 952, 476, 2412, 269, 271, 10101, 540, 1142, 2746, 656, 568, 1031, 538, 606, 4603, 286, 0, 12709, 3436, 5240, 3436, 30594, 996, 923, 4534, 634, 4585, 27594, 540, 513, 1007, 2029, 888, 18907, 476, 2641, 560, 267, 476, 1220, 278, 454, 301, 8457, 996, 923, 4534, 634, 4585, 27594, 540, 513, 1007, 2029, 888, 763, 2361, 540, 29113, 568, 3376, 543, 814, 519, 1761, 547, 581, 1031, 538, 513, 2647, 2039, 540, 6080, 543, 4610, 267, 855, 519, 2243, 568, 2436, 621, 568, 513, 1434, 5092, 269, 4024, 621, 4194, 4909, 1514, 2042, 602, 26924, 513, 1732, 2104, 888, 1103, 606, 2376, 1175, 3370, 538, 519, 26813, 3390, 540, 519, 4760, 30594, 20685, 923, 13886, 267, 834, 20685, 923, 543, 5303, 2048, 514, 519, 10435, 9166, 1323, 1557, 593, 519, 7420, 540, 30594, 996, 923, 2437, 606, 4274, 11828, 875, 24519, 996, 27913, 666, 581, 1851, 519, 11051, 945, 3337, 519, 2495, 543, 1570, 640, 540, 606, 6932, 2029, 269, 634, 1101, 3390, 540, 30594, 20685, 923, 568, 2139, 2228, 1863, 540, 5279, 693, 5614, 518, 15062, 2593, 563, 19465, 513, 14568, 8892, 2443, 16497, 689, 476, 274, 3933, 2195, 540, 5020, 29539, 7690, 16869, 19877, 338, 5181, 476, 272, 560, 267, 476, 1001, 274, 454, 301, 8656, 5398, 16684, 532, 281, 15089, 12771, 543, 519, 7027, 540, 2342, 2904, 476, 1704, 628, 267, 476, 1001, 274, 454, 6124, 1935, 547, 4152, 1072, 267, 2825, 2360, 540, 20543, 4989, 476, 279, 628, 267, 476, 1001, 274, 454, 301, 22076, 1290, 696, 28948, 7338, 623, 269, 4144, 301, 777, 10008, 1234, 548, 1162, 10748, 527, 2334, 10318, 1149, 9509, 518, 10003, 5004, 15278, 568, 6380, 8948, 8973, 5398, 8750, 338, 281, 7797, 20147, 602, 21598, 10157, 11942, 5683, 1870, 2916, 538, 5885, 2208, 693, 30594, 31955, 5130, 476, 2918, 628, 267, 476, 1001, 274, 454, 6124, 6396, 3465, 5034, 585, 13870, 540, 24488, 13961, 2704, 2177, 17266, 18001, 15089, 641, 32535, 5412, 476, 1015, 628, 267, 476, 1001, 274, 454, 302, 13791, 3744, 2709, 1007, 4030, 593, 9013, 17560, 14835, 6617, 281, 1715, 4681, 1223, 3986, 11689, 1944, 610, 3186, 8494, 1944, 20543, 267, 4470, 593, 741, 3096, 5412, 476, 280, 628, 267, 476, 1001, 274, 454, 290, 29949, 308, 4702, 3173, 1867, 23282, 7051, 1648, 18026, 15175, 3457, 693, 594, 3633, 300, 476, 1001, 274, 5412, 476, 280, 628, 267, 476, 1001, 274, 454, 14722, 4336, 1768, 320, 615, 16379, 19589, 538, 31407, 25683, 281, 19676, 772, 269, 3173, 1265, 9842, 3000, 545, 3597, 540, 1768, 320, 615, 16379, 6786, 538, 930, 3327, 31407, 25683, 5412, 476, 280, 628, 267, 476, 1001, 274, 0, 18217, 1823, 21158, 264, 1403, 596, 723, 513, 1126, 609, 606, 2479, 7721, 335, 21505, 22765, 1467, 543, 616, 18516, 540, 519, 2014, 267, 519, 2626, 1223, 581, 15720, 538, 519, 9162, 646, 4249, 609, 610, 519, 14569, 1352, 10425, 689, 269, 1715, 1382, 3370, 538, 519, 9263, 24595, 4760, 267, 27435, 267, 5267, 602, 1312, 536, 7371, 1156, 565, 5025, 630, 289, 5183, 1070, 519, 1102, 600, 3585, 6757, 15229, 3114, 267, 543, 943, 11209, 919, 1223, 581, 4929, 1762, 1453, 547, 3640, 593, 3063, 6550, 267, 799, 1797, 789, 1360, 1134, 949, 581, 1761, 20334, 547, 519, 6689, 8377, 15435, 4867, 27789, 519, 4182, 563, 12867, 689, 519, 2160, 540, 12309, 630, 9331, 264, 2161, 513, 2312, 9756, 6818, 1063, 1164, 2157, 540, 645, 5183, 543, 943, 11209, 919, 538, 1453, 781, 10729, 543, 1312, 1164, 21159, 540, 1560, 3170, 543, 3677, 22765, 4931, 325, 3720, 269, 769, 824, 1913, 267, 1453, 609, 3713, 762, 2157, 540, 891, 1079, 6464, 538, 741, 4703, 616, 811, 2693, 547, 581, 18219, 982, 741, 9905, 267, 2687, 547, 519, 1007, 2079, 267, 799, 1223, 948, 2491, 1946, 1697, 2732, 543, 3635, 568, 3006, 711, 2614, 547, 1832, 1978, 3214, 28489, 543, 2635, 563, 2414, 2097, 547, 713, 3932, 267, 513, 772, 300, 1382, 2319, 3576, 10729, 5439, 689, 1585, 1453, 543, 9916, 873, 585, 645, 5183, 543, 943, 11209, 622, 1543, 269, 1358, 1287, 3576, 7403, 540, 22765, 2450, 543, 1560, 2527, 538, 1931, 547, 1118, 16198, 269, 16270, 2079, 267, 519, 2319, 5462, 602, 1453, 609, 519, 5207, 2157, 540, 645, 5183, 543, 943, 11209, 919, 538, 741, 10729, 941, 849, 519, 1034, 2693, 547, 581, 17324, 610, 723, 513, 22765, 18592, 3562, 13463, 697, 5223, 602, 568, 856, 540, 8167, 563, 257, 22137, 538, 4079, 1185, 3254, 606, 7681, 1063, 1164, 645, 5183, 2157, 543, 8377, 267, 3987, 543, 9025, 2068, 267, 855, 2370, 729, 1634, 827, 922, 2360, 538, 1453, 2437, 3081, 3220, 269, 5213, 3534, 1621, 267, 631, 6185, 1421, 1291, 2278, 540, 519, 1007, 1382, 269, 834, 5978, 1353, 5267, 513, 2009, 3095, 1063, 645, 5183, 4598, 543, 6689, 8377, 269, 1284, 4061, 991, 811, 19976, 2090, 547, 3313, 952, 972, 568, 513, 21465, 3095, 1063, 645, 5183, 543, 4430, 1560, 3170, 4799, 8110, 7065, 783, 645, 5183, 4598, 689, 12432, 5959, 30836, 1223, 1291, 547, 2101, 1072, 2042, 2663, 538, 1453, 781, 2729, 454, 4407, 713, 5767, 1353, 593, 645, 5183, 1705, 711, 2697, 513, 1808, 3095, 1063, 645, 5183, 543, 2901, 9025, 610, 3987, 1981, 538, 1453, 267, 3173, 2161, 621, 949, 581, 2009, 602, 971, 4220, 7623, 936, 942, 883, 15296, 1813, 547, 12675, 543, 31934, 4598, 269, 901, 1131, 948, 2491, 519, 1082, 824, 2090, 602, 723, 2907, 3964, 971, 2068, 4220, 538, 4079, 269, 769, 2901, 2013, 267, 645, 5183, 5526, 547, 2014, 606, 5044, 540, 1634, 1072, 2042, 538, 3425, 267, 799, 568, 1946, 1082, 3173, 616, 1631, 1202, 12371, 593, 513, 2407, 7333, 563, 257, 17780, 593, 891, 2164, 267, 645, 5183, 949, 711, 723, 8801, 2360, 593, 9025, 543, 3987, 1981, 2437, 3081, 3220, 269, 20717, 576, 10557, 267, 631, 6185, 1421, 631, 10422, 13034, 1421, 606, 12314, 7548, 540, 12963, 338, 693, 595, 2529, 269, 631, 2714, 5753, 781, 11233, 538, 7788, 1488, 4011, 269, 834, 3719, 621, 781, 6157, 2009, 602, 519, 8801, 2360, 540, 645, 5183, 1223, 7623, 936, 942, 267, 609, 1072, 2360, 602, 1152, 2663, 8915, 538, 15296, 4799, 2026, 2484, 607, 875, 1453, 616, 1373, 6534, 547, 645, 5183, 4481, 267, 930, 540, 519, 1034, 1455, 27521, 338, 1331, 5068, 14569, 543, 11149, 267, 8143, 1957, 2256, 328, 14186, 267, 1426, 666, 13274, 902, 543, 2724, 269, 6271, 2487, 1353, 849, 3081, 12432, 5959, 30836, 666, 581, 513, 2101, 2707, 540, 645, 5183, 15464, 267, 607, 13021, 656, 1570, 666, 682, 3663, 519, 3114, 883, 5023, 19975, 267, 1141, 621, 568, 1287, 8311, 1242, 676, 519, 1560, 563, 24679, 568, 11613, 2312, 602, 536, 7371, 1156, 565, 5025, 568, 513, 6757, 3114, 543, 606, 25012, 7519, 528, 2437, 8591, 3220, 269, 17722, 8092, 3419, 534, 267, 1291, 2278, 540, 519, 2487, 1957, 593, 12432, 5959, 30836, 269, 834, 2171, 917, 713, 689, 2090, 538, 3425, 543, 538, 2831, 4799, 293, 12767, 2228, 1867, 2982, 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 ]
[ 1641, 269, 5901, 707, 9416, 972, 2394, 596, 2811, 4712, 547, 3443, 543, 9496, 780, 275, 269, 7754, 12347, 281, 1306, 4166, 607, 596, 1294, 707, 1641, 16042, 267, 1246, 621, 5702, 609, 707, 8254, 543, 2046, 519, 9505, 614, 7735, 4625, 269, 8347, 547, 1832, 707, 5322, 5347, 543, 5714, 2429, 519, 3003, 1184, 269, 5457, 267, 12557, 568, 2629, 1934, 269, 6657, 2306, 3501, 2439, 276, 269, 6744, 707, 2164, 281, 2991, 2921, 1896, 15833, 267, 2689, 873, 593, 707, 5496, 269, 6733, 585, 513, 3666, 1063, 5163, 20747, 538, 519, 4282, 543, 8325, 1145, 538, 707, 3119, 1641, 269, 5213, 1405, 5855, 952, 789, 1810, 1405, 2490, 856, 9985, 693, 1101, 282, 3314, 267, 1256, 3318, 21706, 3576, 1082, 13290, 1354, 13215, 3443, 940, 780, 8855, 267, 3106, 2141, 2501, 1101, 269, 8550, 1981, 8380, 3054, 610, 1866, 538, 8594, 1175, 547, 1205, 513, 1434, 8929, 269, 11408, 2307, 10479, 950, 2556, 267, 2523, 950, 15246, 1004, 610, 4357, 3601, 269, 8414, 3443, 940, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 295, 3008, 12971, 23333, 3036, 522, 5632, 770, 1803, 2593, 522, 5632, 770, 1803, 2593, 454, 289, 19272, 9215, 700, 8016, 3201, 454, 305, 732, 31621, 547, 1378, 476, 277, 269, 6924, 3600, 637, 609, 11095, 1761, 4886, 1761, 585, 513, 1920, 10040, 609, 2789, 5321, 538, 519, 19866, 10588, 540, 744, 5632, 320, 269, 901, 25412, 3959, 568, 18172, 575, 730, 543, 814, 513, 4190, 530, 3754, 4401, 15943, 20545, 269, 634, 476, 275, 23103, 270, 476, 275, 269, 276, 8602, 1292, 15335, 10525, 25894, 689, 519, 2713, 2127, 547, 519, 1151, 10740, 543, 5399, 269, 5890, 753, 633, 10051, 568, 3501, 585, 519, 1920, 602, 15055, 547, 3434, 1927, 269, 661, 5586, 656, 18226, 4055, 543, 2713, 4055, 269, 8433, 609, 3710, 2987, 1433, 322, 1162, 269, 11146, 569, 476, 273, 23103, 16823, 1753, 6772, 8504, 1330, 1399, 731, 269, 476, 275, 4211, 541, 25880, 267, 6070, 1216, 7535, 267, 11718, 543, 30981, 269, 1269, 273, 267, 7742, 267, 1822, 11910, 585, 3681, 454, 289, 817, 13474, 4825, 805, 910, 13574, 2659, 13574, 17721, 8235, 23433, 4357, 15335, 6772, 8504, 5614, 10480, 10720, 593, 476, 11277, 1341, 25773, 14143, 269, 901, 476, 273, 3613, 800, 524, 25729, 1753, 609, 16064, 6772, 23697, 519, 10720, 269, 27202, 14151, 6149, 3595, 2897, 538, 1390, 4055, 267, 1920, 4055, 609, 5863, 5784, 540, 519, 10720, 269, 2201, 519, 824, 1688, 519, 1033, 3737, 18638, 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, 303, 8911, 257, 607, 851, 540, 834, 15771, 5588, 24209, 1315, 9828, 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, 6637, 476, 1626, 281, 10289, 519, 3493, 2195, 910, 7201, 4248, 22878, 692, 5970, 596, 2479, 16545, 10977, 7258, 10477, 3165, 267, 22488, 23522, 267, 543, 12357, 4262, 16015, 286, 1548, 952, 596, 1223, 7001, 1346, 6909, 8090, 538, 5961, 547, 2671, 609, 707, 2828, 543, 1920, 286, 8080, 547, 519, 4241, 1158, 540, 14015, 10344, 2439, 15152, 4248, 21706, 946, 2027, 12514, 543, 3937, 547, 1491, 10875, 6337, 9944, 519, 2627, 540, 519, 1216, 269, 1358, 2263, 14147, 18625, 31523, 609, 1272, 267, 4685, 2620, 883, 519, 5836, 781, 1000, 559, 697, 7997, 267, 543, 1256, 2743, 9490, 7068, 602, 1413, 899, 789, 4866, 538, 2257, 5708, 9413, 256, 1809, 1354, 596, 10544, 707, 7669, 338, 3726, 543, 8254, 267, 1577, 781, 1451, 811, 827, 875, 547, 3251, 2922, 543, 1205, 3323, 538, 713, 13858, 15908, 780, 291, 13377, 543, 8881, 9669, 692, 9617, 899, 1022, 824, 1106, 540, 7045, 267, 972, 616, 930, 4220, 950, 2921, 14015, 11147, 269, 16200, 14768, 267, 8325, 3615, 267, 543, 6397, 7286, 2831, 666, 1711, 2591, 269, 1677, 2327, 707, 3106, 1247, 2348, 1187, 267, 1246, 891, 2241, 3652, 1384, 265, 8550, 5905, 610, 3771, 817, 7286, 7320, 269, 21727, 741, 2230, 543, 7747, 873, 689, 513, 3845, 563, 265, 11408, 2638, 2199, 6042, 543, 4808, 3823, 6870, 2127, 543, 2249, 563, 265, 667, 633, 1369, 707, 7182, 543, 2866, 1377, 282, 2760, 7903, 3054, 1932, 2484, 563, 265, 2422, 1697, 10591, 971, 607, 530, 1115, 7057, 267, 27634, 267, 13968, 267, 2879, 1251, 1564, 267, 543, 26255, 3599, 9104, 2209, 630, 6195, 338, 264, 547, 2149, 3054, 543, 2226, 9243, 26255, 3599, 563, 265, 5620, 19307, 3937, 4712, 543, 2141, 1685, 6296, 11974, 1354, 10024, 519, 1216, 563, 265, 24269, 2009, 267, 979, 11362, 609, 513, 14609, 344, 945, 8843, 2147, 4690, 543, 5759, 269, 901, 1259, 267, 596, 1312, 666, 948, 1142, 824, 856, 1282, 18002, 780, 21093, 29035, 609, 7201, 4248, 22878, 692, 2414, 2253, 707, 3460, 883, 14015, 10344, 267, 1934, 616, 930, 3268, 547, 2015, 1384, 272, 269, 3194, 1114, 2010, 540, 14015, 12514, 5078, 585, 14987, 269, 3509, 11741, 3631, 1631, 2709, 1390, 3239, 2298, 693, 10097, 5777, 269, 2142, 2386, 547, 1224, 8039, 543, 5635, 2934, 563, 273, 269, 6258, 2596, 10344, 2553, 899, 5888, 267, 8654, 267, 4598, 5468, 267, 543, 2022, 3491, 22422, 3301, 899, 23489, 8752, 3336, 269, 1411, 1810, 1405, 991, 547, 1831, 606, 4274, 1318, 2476, 1107, 2259, 2306, 3501, 2336, 274, 269, 25800, 3054, 609, 1898, 14015, 8027, 3681, 2966, 4481, 585, 707, 6074, 8254, 2203, 269, 901, 8825, 2013, 2636, 621, 547, 1599, 7363, 1247, 24760, 563, 275, 269, 7767, 538, 1434, 7779, 588, 13681, 525, 610, 3381, 8279, 547, 22113, 707, 5396, 5265, 269, 7849, 7943, 535, 3547, 3533, 607, 596, 13956, 4514, 883, 519, 1216, 6241, 563, 276, 269, 6657, 15246, 896, 1585, 2175, 2394, 596, 1745, 6899, 7829, 707, 10591, 543, 4509, 26255, 3599, 1852, 269, 8347, 9683, 20115, 267, 12647, 267, 610, 13719, 9381, 7297, 1101, 563, 277, 269, 15012, 2228, 2950, 6131, 547, 14015, 10344, 269, 9523, 4388, 267, 15361, 267, 543, 2592, 609, 8284, 12439, 945, 666, 1683, 16268, 5955, 543, 19015, 563, 278, 269, 3883, 11461, 19150, 3366, 676, 4810, 4648, 945, 917, 519, 1655, 9634, 585, 8289, 572, 4370, 543, 4605, 23824, 3255, 269, 19415, 5402, 547, 741, 5796, 543, 1451, 689, 11287, 741, 2553, 563, 279, 269, 4107, 11932, 267, 3314, 547, 723, 1187, 3695, 519, 4190, 896, 22855, 1158, 2439, 3086, 602, 596, 1174, 519, 9238, 540, 14015, 10344, 267, 4952, 4687, 5863, 2984, 540, 707, 12748, 9035, 1210, 12667, 23877, 269, 3807, 1589, 827, 519, 8823, 596, 3513, 8190, 11014, 543, 6667, 596, 1522, 8141, 1851, 1866, 5461, 538, 7863, 938, 10475, 12084, 269, 1924, 10544, 707, 10591, 267, 7914, 538, 267, 543, 1376, 2870, 20605, 8090, 2221, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 519, 3728, 19550, 3059, 2085, 267, 1141, 2228, 9913, 568, 11593, 3015, 267, 519, 27559, 540, 2228, 8732, 16394, 814, 26970, 519, 13989, 2146, 269, 1717, 267, 609, 519, 2479, 7721, 335, 21505, 5691, 7706, 2501, 513, 18632, 2427, 281, 519, 1158, 540, 2228, 25877, 1085, 4461, 269, 1452, 30081, 2238, 666, 3775, 5667, 639, 1051, 532, 2043, 540, 741, 2182, 268, 792, 2740, 2724, 267, 7432, 1018, 1058, 581, 606, 11791, 16837, 13287, 883, 513, 1253, 7675, 610, 1372, 531, 269, 769, 713, 2376, 267, 649, 786, 3391, 596, 998, 519, 25354, 540, 2228, 25877, 1085, 4461, 267, 30015, 596, 609, 519, 1702, 543, 1983, 2556, 547, 3927, 5544, 543, 2057, 891, 17672, 20637, 269, 1635, 12561, 513, 21713, 14820, 543, 7598, 938, 4274, 268, 591, 1881, 2994, 267, 596, 666, 18390, 6330, 519, 5691, 25877, 5251, 267, 4180, 513, 5150, 543, 11791, 13989, 1995, 563, 7659, 2782, 940, 20050, 540, 6732, 16629, 3626, 2480, 4461, 454, 17138, 281, 634, 9214, 323, 1043, 2622, 540, 7201, 4248, 22878, 281, 1133, 557, 4979, 519, 590, 699, 928, 25925, 645, 2940, 987, 519, 31515, 454, 5331, 11362, 883, 606, 14015, 4898, 1633, 267, 11303, 536, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 22878, 1315, 7201, 4248, 22878, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 826, 4924, 476, 1240, 476, 2537, 281, 1428, 281, 1626, 476, 1708, 271, 692, 287, 10461, 281, 561, 19313, 454, 20701, 258, 29313, 3036, 4811, 454, 5814, 556, 454, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 692, 258, 667, 25353, 454, 11907, 815, 11713, 5976, 263, 13449, 2891, 10574, 910, 4303, 5400, 17902, 257, 4297, 607, 3758, 912, 825, 585, 1899, 538, 3758, 912, 1038, 1239, 6910, 263, 1467, 2020, 258, 23184, 3201, 476, 272, 454, 18851, 2791, 2097, 2066, 513, 7450, 7598, 1018, 596, 666, 1152, 8263, 568, 606, 454, 574, 921, 7695, 540, 1079, 29969, 17452, 1310, 513, 1279, 3014, 540, 4170, 454, 974, 548, 7483, 780, 2414, 1205, 2250, 519, 7450, 267, 596, 1101, 2220, 6559, 513, 1883, 15258, 630, 7224, 1966, 282, 972, 729, 835, 593, 454, 513, 7404, 11380, 1040, 3973, 267, 621, 10525, 513, 3009, 593, 513, 2370, 5496, 267, 543, 596, 1826, 602, 454, 3009, 593, 513, 1883, 25247, 269, 3973, 267, 27229, 267, 519, 7450, 796, 331, 4169, 780, 19013, 267, 519, 5496, 814, 1044, 1159, 14414, 269, 2991, 513, 1906, 3764, 2676, 9767, 4312, 3144, 3388, 6306, 543, 23125, 856, 875, 621, 1568, 563, 3086, 596, 1175, 723, 547, 960, 856, 1018, 519, 5496, 1131, 723, 10268, 780, 763, 6419, 14816, 593, 519, 3556, 596, 2220, 21317, 1958, 3941, 513, 3126, 540, 5528, 454, 1721, 519, 5496, 282, 891, 5528, 616, 707, 11015, 3403, 563, 763, 5496, 568, 476, 2004, 19641, 2647, 543, 476, 277, 19641, 7381, 267, 782, 540, 799, 1376, 1055, 2676, 663, 568, 5827, 540, 1614, 10169, 15116, 4238, 1384, 268, 6439, 16547, 289, 7140, 593, 782, 540, 519, 19641, 538, 513, 13551, 693, 519, 1283, 268, 3847, 540, 454, 1492, 5496, 799, 568, 589, 2647, 543, 645, 7381, 563, 268, 17967, 4737, 586, 284, 288, 676, 645, 10593, 782, 540, 519, 19641, 538, 4737, 589, 454, 263, 271, 568, 519, 1283, 4737, 264, 1318, 676, 645, 19641, 563, 303, 1460, 1564, 602, 1131, 2887, 1055, 519, 1318, 1439, 2408, 693, 519, 2451, 1439, 540, 519, 4737, 563, 268, 17967, 6241, 1535, 284, 288, 676, 645, 10593, 782, 540, 519, 19641, 538, 6241, 589, 454, 263, 271, 568, 519, 2451, 6241, 264, 1524, 676, 645, 19641, 563, 303, 1460, 1564, 602, 1131, 2887, 1055, 519, 5377, 2408, 693, 519, 1283, 540, 519, 6241, 563, 20701, 258, 4888, 14684, 2207, 476, 272, 454, 6783, 815, 5286, 25910, 9230, 277, 267, 476, 2004, 1070, 546, 6943, 284, 321, 944, 2020, 1721, 1899, 538, 1239, 912, 825, 8237, 318, 1467, 815, 556, 21858, 16868, 257, 314, 815, 316, 2580, 1899, 2020, 825, 952, 8237, 318, 1467, 314, 271, 316, 2652, 834, 5550, 13426, 1038, 8700, 267, 4463, 815, 4786, 17301, 267, 8237, 318, 1467, 314, 272, 4940, 20889, 3488, 343, 29125, 1038, 5044, 11468, 19417, 267, 2433, 12296, 316, 815, 6936, 692, 825, 8640, 8237, 318, 1467, 314, 271, 316, 2652, 834, 8527, 622, 13426, 1038, 952, 8237, 318, 1467, 314, 272, 316, 2652, 834, 992, 13426, 2018, 17967, 9078, 665, 815, 703, 4433, 5902, 318, 1467, 314, 274, 7481, 2018, 17967, 318, 2421, 815, 703, 4433, 5902, 318, 1467, 314, 276, 7481, 2018, 5044, 314, 8527, 622, 9078, 665, 316, 815, 5286, 269, 2651, 263, 6783, 314, 8527, 622, 9078, 665, 3910, 17967, 318, 2421, 994, 1038, 3116, 912, 2018, 17967, 9078, 665, 815, 703, 4433, 5902, 318, 1467, 314, 274, 7481, 2018, 17967, 318, 2421, 815, 703, 4433, 5902, 318, 1467, 314, 276, 7481, 2018, 5044, 18020, 17967, 9078, 665, 316, 815, 5286, 269, 2651, 263, 6783, 18020, 17967, 9078, 665, 3910, 17967, 318, 2421, 2020, 2745, 6600, 257, 346, 12639, 27904, 263, 6783, 14587, 19641, 616, 1396, 1701, 2020, 258, 23184, 3201, 476, 273, 454, 18851, 2791, 5469, 602, 519, 5496, 568, 1152, 5827, 540, 18071, 3854, 5022, 3248, 514, 519, 13944, 621, 3096, 267, 1142, 4484, 568, 476, 276, 19641, 2647, 543, 476, 277, 7381, 780, 5475, 596, 2220, 6559, 707, 3556, 267, 1018, 3009, 568, 519, 5496, 3843, 547, 4159, 286, 20701, 258, 4888, 14684, 2207, 476, 273, 454, 258, 2224, 4756, 24413, 538, 9517, 292, 454, 2745, 2891, 313, 293, 295, 12396, 293, 8104, 17269, 5602, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 774, 340, 4455, 476, 2537, 476, 1321, 281, 1321, 281, 5655, 476, 1708, 271, 780, 287, 10461, 281, 561, 19313, 454, 20701, 258, 29313, 3036, 4811, 454, 5814, 556, 692, 258, 23184, 3201, 476, 272, 454, 18851, 310, 663, 1359, 1472, 513, 5150, 1858, 267, 596, 2097, 2066, 513, 3611, 531, 1074, 2823, 454, 547, 513, 1007, 851, 540, 519, 3060, 269, 2991, 13713, 17655, 621, 585, 4277, 454, 6119, 267, 596, 1265, 835, 3758, 538, 1880, 602, 29598, 707, 3007, 563, 898, 781, 19316, 609, 606, 8097, 3898, 267, 855, 22508, 2299, 2676, 519, 12319, 585, 519, 3898, 568, 7404, 780, 763, 3898, 14771, 525, 513, 5311, 540, 3197, 269, 1733, 2572, 10628, 568, 16053, 563, 2414, 5815, 602, 930, 5311, 1058, 581, 7368, 267, 513, 15262, 568, 3773, 547, 454, 1492, 3758, 267, 899, 630, 1015, 343, 273, 1040, 1677, 10920, 12304, 713, 15262, 267, 1491, 519, 7766, 476, 1015, 454, 3197, 543, 10956, 873, 476, 273, 2053, 269, 3973, 267, 3136, 2542, 519, 3758, 1310, 454, 519, 7368, 1239, 269, 634, 15262, 3294, 568, 711, 3769, 538, 519, 10920, 335, 5962, 454, 3977, 780, 2252, 24324, 610, 824, 3197, 2408, 1369, 519, 1239, 26518, 676, 513, 454, 5658, 518, 267, 602, 781, 15502, 910, 1521, 621, 899, 3339, 1239, 267, 711, 513, 15262, 267, 543, 1287, 454, 637, 2541, 3168, 585, 12508, 1310, 519, 10920, 335, 5962, 3296, 27969, 692, 258, 667, 25353, 454, 11907, 815, 834, 4840, 5976, 263, 13449, 2891, 10574, 910, 4303, 6021, 17902, 257, 4297, 607, 535, 912, 825, 585, 1899, 538, 535, 912, 1038, 1239, 6834, 1899, 692, 258, 4888, 14684, 2207, 476, 272, 454, 3698, 1265, 6958, 1009, 318, 24987, 30415, 267, 10920, 335, 5962, 18316, 2187, 825, 5569, 815, 5569, 14714, 8692, 4590, 825, 1247, 7003, 30415, 264, 3436, 476, 271, 912, 1038, 2119, 912, 2018, 15262, 815, 556, 269, 14142, 16868, 257, 315, 7268, 323, 21147, 315, 323, 10954, 264, 2580, 5569, 1040, 16766, 4590, 2018, 15262, 815, 15262, 18622, 2897, 2891, 264, 2580, 834, 20257, 516, 2897, 2891, 263, 2580, 834, 5602, 2018, 1003, 318, 10420, 815, 703, 263, 5658, 518, 21858, 2891, 343, 8442, 314, 271, 7481, 2018, 1617, 318, 12534, 815, 703, 263, 5658, 518, 21858, 2891, 343, 8442, 314, 272, 7481, 2018, 18631, 26748, 267, 1257, 318, 12898, 815, 556, 2593, 335, 850, 16868, 257, 315, 7268, 323, 21147, 315, 323, 10954, 17983, 1040, 20889, 30415, 267, 476, 272, 2020, 2018, 5697, 26748, 815, 1257, 318, 12898, 11468, 11133, 318, 10420, 2639, 2018, 10920, 335, 5962, 26748, 815, 5697, 26748, 2608, 1617, 318, 12534, 692, 2018, 10920, 335, 5962, 18316, 6834, 18631, 26748, 454, 2018, 10920, 335, 5962, 18316, 6834, 10920, 335, 5962, 26748, 692, 2018, 5569, 815, 1257, 318, 12898, 314, 11133, 318, 10420, 281, 6540, 1038, 4849, 5900, 25572, 13286, 912, 2018, 10920, 335, 5962, 18316, 6834, 5569, 454, 2018, 5569, 815, 834, 5016, 825, 2132, 10920, 335, 5962, 18316, 692, 1372, 4818, 5962, 18316, 815, 1265, 6958, 1009, 318, 24987, 16597, 267, 834, 5602, 2745, 6600, 10454, 3259, 540, 519, 10920, 335, 5962, 3758, 568, 2715, 6352, 263, 1372, 4818, 5962, 18316, 14587, 15419, 258, 23184, 3201, 476, 273, 454, 18851, 7343, 30068, 267, 519, 3758, 2965, 3096, 4528, 1079, 540, 519, 3898, 780, 1103, 4528, 1079, 267, 519, 1152, 3017, 568, 602, 12508, 1369, 10920, 335, 5962, 454, 11907, 616, 10920, 335, 5962, 269, 901, 267, 519, 12319, 6941, 267, 2488, 1454, 454, 3467, 8101, 13496, 7207, 267, 3850, 1082, 3766, 580, 17879, 974, 6119, 454, 1729, 581, 6740, 538, 1152, 513, 1906, 4893, 984, 344, 5052, 780, 19013, 267, 519, 2780, 596, 4547, 4440, 3085, 1405, 723, 2614, 3965, 454, 547, 2965, 10920, 12304, 519, 3758, 282, 596, 3513, 723, 547, 2097, 909, 609, 1776, 1259, 454, 547, 1205, 922, 10920, 335, 5962, 3259, 27969, 7531, 258, 4888, 14684, 2207, 476, 273, 454, 3698, 1265, 318, 16149, 318, 24987, 30415, 2187, 825, 5569, 14714, 8692, 4590, 825, 2626, 815, 476, 271, 454, 825, 1775, 815, 476, 271, 454, 825, 1247, 1775, 2999, 7003, 30415, 2187, 1038, 952, 5569, 5157, 316, 2652, 1412, 3488, 912, 2018, 1665, 815, 5569, 26098, 3488, 264, 3299, 1775, 994, 2018, 1003, 318, 10420, 267, 1617, 26371, 31386, 454, 3546, 1496, 842, 3287, 264, 585, 1535, 538, 5569, 5157, 1341, 476, 272, 281, 5658, 4940, 20889, 3488, 343, 10807, 6540, 2018, 2626, 6834, 1265, 318, 16149, 318, 24987, 30415, 314, 5658, 1341, 476, 272, 281, 5658, 1341, 1003, 318, 10420, 1341, 476, 272, 8079, 2608, 1617, 26371, 454, 2018, 1775, 815, 1665, 1341, 1003, 318, 10420, 454, 1038, 3116, 912, 2018, 2626, 6834, 476, 272, 454, 1038, 1775, 6834, 476, 272, 692, 825, 2132, 2626, 692, 22772, 318, 16149, 318, 24987, 16597, 9239, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 268, 265, 268, 8193, 281, 583, 325, 268, 279, 20609, 8894, 258, 476, 11711, 281, 1315, 5825, 619, 270, 6362, 18025, 3155, 10254, 507, 419, 374, 356, 28997, 501, 25622, 11305, 1712, 270, 278, 270, 22056, 21698, 11966, 18258, 454, 258, 476, 5741, 281, 1315, 5825, 619, 270, 6362, 18025, 3155, 10254, 507, 419, 374, 356, 28997, 501, 25622, 11305, 1712, 270, 278, 454, 258, 476, 23095, 11261, 281, 476, 1001, 280, 270, 6734, 270, 5881, 454, 258, 476, 8191, 281, 554, 560, 6362, 554, 560, 318, 6362, 287, 14653, 21166, 2593, 7531, 5035, 30741, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 16000, 815, 7183, 454, 1038, 1582, 16192, 815, 7183, 692, 3698, 1711, 21698, 5804, 8266, 6025, 8266, 2187, 825, 1130, 815, 512, 8266, 21014, 263, 271, 994, 825, 952, 1130, 912, 1038, 2132, 454, 825, 3116, 912, 1038, 3597, 22183, 815, 1130, 454, 825, 1130, 815, 512, 8266, 21014, 263, 271, 994, 825, 952, 1130, 912, 1038, 2132, 454, 825, 3116, 912, 1038, 3597, 16000, 22183, 815, 1130, 454, 825, 1130, 815, 512, 8266, 21014, 263, 271, 994, 825, 952, 1130, 912, 1038, 2132, 454, 825, 3116, 912, 1038, 3597, 16192, 22183, 815, 1130, 454, 825, 1948, 3597, 815, 30741, 6025, 8266, 21014, 263, 271, 4917, 825, 1948, 3597, 16000, 815, 1711, 21698, 5804, 8266, 6025, 8266, 994, 825, 1948, 3597, 16192, 815, 1711, 21698, 5804, 8266, 6025, 8266, 994, 825, 2132, 3597, 692, 3698, 1397, 300, 573, 21698, 20172, 2187, 825, 952, 3597, 22183, 2652, 7183, 912, 1038, 1820, 2891, 14085, 9847, 834, 2073, 1439, 284, 3269, 994, 1038, 2132, 454, 825, 3116, 912, 1038, 1820, 2891, 260, 323, 9847, 834, 4939, 10174, 22183, 267, 1439, 284, 3269, 2020, 825, 1397, 300, 573, 21698, 20172, 16000, 994, 825, 1397, 300, 573, 21698, 20172, 16192, 994, 825, 2132, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1948, 512, 8266, 815, 1496, 274, 267, 476, 280, 267, 476, 736, 267, 7183, 267, 7183, 267, 476, 1428, 267, 476, 278, 2639, 825, 512, 8266, 815, 1496, 274, 267, 476, 280, 267, 7183, 267, 7183, 267, 476, 736, 267, 476, 1428, 267, 476, 278, 2639, 825, 3597, 815, 1711, 21698, 5804, 8266, 6025, 8266, 994, 825, 1397, 300, 573, 21698, 20172, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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 ]
[ 544, 513, 562, 1775, 562, 546, 579, 521, 2119, 568, 552, 562, 554, 513, 562, 524, 1775, 562, 575, 713, 562, 513, 512, 579, 678, 513, 561, 575, 678, 552, 552, 562, 554, 522, 579, 521, 552, 1198, 269, 744, 562, 513, 5895, 513, 561, 4336, 267, 519, 544, 513, 575, 562, 1775, 512, 579, 546, 552, 522, 535, 519, 678, 552, 552, 535, 910, 575, 552, 562, 552, 678, 513, 512, 552, 546, 2910, 273, 568, 1507, 524, 522, 544, 533, 513, 678, 552, 546, 547, 524, 579, 678, 678, 552, 562, 512, 554, 579, 544, 513, 562, 910, 1775, 562, 546, 579, 524, 552, 546, 533, 552, 678, 512, 579, 678, 536, 513, 512, 687, 563, 288, 1188, 852, 1578, 618, 269, 1284, 9684, 3220, 269, 681, 269, 6844, 30937, 1512, 585, 5363, 5717, 543, 8292, 593, 606, 2038, 4528, 540, 713, 1957, 563, 27066, 17566, 681, 300, 267, 25347, 345, 933, 580, 595, 267, 3212, 691, 681, 300, 267, 681, 527, 2151, 808, 307, 267, 5062, 10111, 331, 22601, 267, 31946, 518, 808, 291, 267, 4354, 787, 681, 289, 267, 13643, 808, 310, 267, 4425, 1774, 918, 297, 267, 19395, 700, 295, 12789, 630, 1960, 271, 264, 6820, 2916, 1689, 543, 2475, 6683, 269, 7186, 476, 24833, 281, 25546, 23470, 29615, 344, 18040, 630, 3192, 279, 264, 4856, 531, 11818, 10641, 14003, 281, 513, 17326, 7645, 2203, 269, 3163, 476, 1708, 281, 279, 4029, 268, 279, 4391, 27336, 1156, 3780, 590, 630, 6245, 277, 264, 2201, 519, 3310, 540, 3327, 545, 3679, 538, 519, 2011, 2390, 519, 2837, 540, 519, 2666, 269, 11096, 7395, 808, 2233, 476, 6078, 281, 26801, 268, 28510, 7137, 1676, 17241, 267, 20098, 15676, 8028, 267, 12275, 14843, 681, 300, 630, 2735, 274, 264, 634, 19941, 1606, 559, 6510, 2520, 12950, 4783, 543, 922, 1198, 593, 11626, 3327, 8166, 936, 519, 2250, 476, 1911, 2929, 1296, 269, 2549, 808, 2233, 476, 27543, 281, 5038, 272, 268, 6924, 274, 7935, 324, 14982, 654, 306, 267, 28635, 1695, 20076, 570, 630, 3422, 277, 264, 25289, 19941, 13247, 593, 519, 15840, 4821, 24434, 269, 808, 2983, 19398, 1763, 476, 10170, 281, 14991, 276, 268, 8182, 273, 7935, 324, 14982, 654, 306, 267, 28635, 1695, 20076, 570, 267, 3244, 12121, 670, 297, 267, 623, 1263, 570, 6953, 630, 3192, 280, 264, 674, 622, 540, 8093, 4492, 3327, 8166, 543, 519, 2518, 3327, 6578, 269, 3163, 476, 18684, 281, 30156, 268, 275, 1240, 9466, 808, 267, 2051, 1782, 589, 267, 5244, 667, 267, 29928, 808, 267, 10162, 615, 1399, 667, 267, 19159, 808, 630, 2735, 280, 264, 1530, 1177, 831, 281, 922, 5888, 267, 3601, 543, 2623, 269, 623, 1120, 17868, 267, 10228, 267, 6032, 476, 272, 268, 13679, 6844, 30937, 1512, 681, 310, 267, 8055, 25789, 630, 2735, 279, 264, 4856, 531, 11818, 2208, 538, 606, 5736, 540, 6385, 8375, 4262, 1377, 281, 11236, 543, 10372, 585, 1279, 3410, 1382, 269, 4856, 531, 24035, 338, 476, 278, 281, 7906, 268, 6321, 932, 1952, 749, 808, 267, 2717, 778, 670, 630, 1960, 271, 264, 5403, 25322, 18432, 4262, 7400, 4473, 689, 513, 14147, 2594, 693, 13535, 517, 18686, 267, 14466, 7699, 1715, 19892, 269, 7186, 476, 4097, 280, 281, 15704, 14983, 9061, 1633, 595, 297, 267, 24051, 7815, 645, 294, 267, 8055, 25789, 630, 1960, 272, 264, 10020, 540, 14147, 18625, 538, 2518, 5836, 2504, 269, 4856, 531, 24035, 338, 476, 1015, 281, 4649, 268, 5038, 5096, 625, 623, 297, 267, 21244, 808, 293, 267, 670, 963, 344, 667, 630, 2735, 276, 264, 17716, 1063, 11818, 2208, 543, 4262, 1377, 538, 519, 4279, 4446, 8175, 24035, 269, 28540, 476, 276, 628, 2271, 4856, 531, 24035, 5204, 14442, 476, 274, 281, 4817, 268, 9818, 12876, 3316, 802, 681, 294, 630, 2735, 280, 264, 589, 476, 1704, 267, 1822, 4458, 12620, 1470, 3887, 755, 1738, 4262, 1377, 2594, 281, 3310, 540, 30961, 13621, 3928, 593, 519, 8479, 518, 16959, 553, 2680, 543, 2620, 27984, 4117, 10009, 269, 7186, 476, 31079, 281, 277, 4391, 268, 5038, 273, 454, 29878, 321, 731, 667, 298, 267, 16019, 3642, 267, 2480, 520, 1755, 667, 630, 1960, 271, 264, 13870, 543, 15203, 540, 7513, 19941, 538, 513, 15808, 12967, 11818, 1062, 630, 1805, 269, 15867, 1460, 267, 2475, 7910, 11866, 2567, 10241, 547, 519, 2470, 540, 11818, 1949, 538, 519, 8093, 2594, 269, 808, 20767, 2939, 8891, 1503, 476, 2568, 281, 28178, 268, 11740, 20943, 8124, 667, 267, 670, 963, 344, 667, 630, 1960, 272, 264, 634, 4644, 540, 14147, 18625, 607, 2518, 3327, 29826, 910, 3210, 547, 2518, 8511, 269, 6022, 2801, 334, 613, 690, 337, 6022, 2801, 665, 3916, 520, 565, 6022, 2801, 334, 1815, 565, 476, 8660, 281, 3607, 274, 268, 4391, 278, 700, 1662, 1993, 21096, 267, 13259, 340, 10937, 19010, 630, 1960, 271, 264, 28731, 7418, 540, 8511, 3154, 5434, 547, 2518, 8337, 269, 7186, 476, 30306, 281, 276, 3066, 268, 276, 4029, 21244, 670, 294, 267, 21701, 808, 290, 294, 267, 918, 7795, 333, 654, 305, 630, 2735, 279, 264, 7043, 3856, 2916, 1689, 543, 519, 2520, 12950, 4783, 540, 3327, 269, 808, 2983, 19398, 1763, 476, 11152, 281, 8064, 272, 268, 3199, 272, 4787, 597, 992, 717, 630, 3192, 276, 264, 634, 15702, 9362, 910, 3327, 8166, 269, 769, 281, 681, 13704, 31179, 267, 4787, 597, 992, 717, 630, 2644, 264, 11906, 5836, 2762, 267, 2019, 476, 273, 267, 476, 273, 526, 1196, 333, 269, 14288, 4964, 267, 5507, 267, 6032, 476, 272, 268, 4572, 8055, 25789, 630, 3192, 274, 264, 12539, 8166, 6384, 281, 513, 2594, 540, 5214, 3327, 2504, 267, 19344, 267, 543, 18287, 2305, 538, 519, 2037, 12685, 564, 758, 11818, 6366, 2146, 269, 7799, 333, 565, 7909, 690, 337, 476, 1240, 281, 11793, 268, 6344, 8055, 25789, 630, 3192, 279, 264, 4856, 531, 268, 872, 325, 1858, 543, 7418, 540, 18625, 547, 3157, 543, 2200, 540, 519, 1158, 781, 12084, 269, 7186, 476, 24129, 281, 18597, 268, 26297, 8055, 25789, 630, 2735, 274, 264, 4856, 531, 11818, 18287, 2305, 269, 769, 281, 4446, 5886, 29382, 630, 539, 264, 21126, 593, 14147, 18625, 269, 8241, 4659, 540, 13149, 3163, 267, 2494, 26854, 267, 5245, 267, 6032, 476, 13301, 268, 26316, 8055, 25789, 630, 2735, 276, 264, 8447, 267, 3114, 543, 6211, 4162, 540, 2910, 273, 3154, 13441, 2066, 519, 2011, 1216, 8818, 269, 7233, 8426, 30287, 476, 279, 281, 4343, 278, 268, 4375, 279, 8055, 25789, 267, 20943, 8124, 667, 310, 630, 3192, 277, 264, 25289, 19941, 2504, 267, 14147, 11818, 2208, 267, 543, 4262, 1377, 1689, 269, 3163, 476, 3707, 281, 280, 4391, 268, 280, 4375, 8055, 25789, 267, 966, 2465, 327, 670, 295, 630, 2735, 280, 264, 7136, 3666, 540, 6915, 613, 32554, 1227, 5562, 2326, 630, 290, 267, 715, 267, 623, 264, 538, 513, 28810, 13824, 575, 5285, 269, 6480, 340, 25978, 267, 26066, 17125, 325, 2233, 476, 3066, 281, 4198, 268, 21497, 853, 17026, 654, 267, 21546, 808, 297, 630, 2735, 272, 264, 13985, 1738, 7998, 267, 476, 273, 526, 1196, 333, 269, 25067, 267, 1715, 3840, 267, 6032, 476, 272, 268, 278, 3199, 13177, 589, 295, 267, 23846, 589, 297, 267, 589, 1231, 10290, 631, 267, 21662, 517, 808, 292, 267, 25306, 19010, 630, 1960, 272, 264, 589, 20592, 7634, 540, 519, 1909, 540, 20239, 25762, 538, 519, 3666, 540, 3327, 693, 519, 2627, 540, 519, 3345, 9533, 269, 6820, 12713, 613, 32554, 7261, 3380, 476, 276, 281, 14681, 268, 14378, 570, 753, 26076, 267, 674, 2426, 594, 312, 267, 28635, 1695, 20076, 570, 630, 1960, 271, 264, 17325, 1049, 10148, 593, 519, 2518, 11626, 2910, 345, 6578, 269, 3163, 476, 26316, 281, 16960, 272, 268, 16960, 279, 5292, 330, 570, 267, 645, 659, 770, 578, 681, 630, 2735, 280, 264, 634, 4657, 3270, 540, 1990, 343, 335, 4596, 273, 1063, 5836, 543, 5790, 269, 6820, 12713, 613, 32554, 7261, 3380, 476, 274, 281, 9692, 6245, 23846, 589, 297, 267, 20484, 595, 267, 20484, 808, 292, 349, 682, 289, 269, 13879, 623, 297, 267, 674, 1662, 600, 631, 297, 305, 630, 1960, 272, 264, 32085, 13260, 538, 519, 16173, 585, 11626, 3327, 8166, 538, 519, 3345, 9533, 269, 7186, 476, 12573, 281, 2004, 268, 7871, 5261, 5459, 623, 267, 670, 3326, 10247, 6751, 630, 1960, 271, 264, 7909, 7607, 543, 2916, 1689, 269, 12367, 661, 3712, 5345, 565, 476, 280, 281, 26482, 268, 24062, 654, 3326, 770, 681, 267, 12275, 14843, 681, 300, 267, 27963, 20044, 773, 674, 307, 630, 2735, 271, 264, 2836, 322, 924, 5498, 1177, 831, 6547, 538, 5836, 2627, 7297, 269, 808, 2233, 476, 18231, 281, 279, 4029, 268, 279, 4366, 2622, 8249, 4659, 630, 1960, 271, 264, 2622, 8249, 281, 476, 1960, 271, 268, 1960, 272, 269, 10228, 2160, 4964, 267, 1715, 3840, 267, 6032, 476, 272, 268, 4343, 274, 0, 24941, 292, 7232, 977, 25080, 12197, 11576, 832, 454, 6624, 10703, 22133, 24118, 543, 10368, 3156, 2154, 519, 7020, 540, 1507, 268, 600, 680, 3363, 543, 1970, 23151, 6419, 4610, 269, 18830, 713, 4282, 267, 513, 11275, 10309, 1523, 568, 11567, 538, 713, 960, 1759, 593, 519, 11275, 334, 601, 2880, 18529, 292, 1198, 269, 634, 18529, 292, 1198, 3123, 519, 16982, 4908, 540, 513, 11275, 334, 601, 2880, 6949, 1807, 547, 1033, 2317, 538, 519, 4527, 540, 513, 6419, 2361, 267, 799, 666, 581, 1224, 13050, 30788, 609, 606, 3606, 2650, 345, 29090, 5123, 269, 15316, 2890, 19491, 4435, 22817, 454, 637, 517, 2209, 616, 4603, 958, 9916, 538, 2474, 540, 519, 18529, 292, 1198, 543, 5365, 7146, 5991, 18857, 3210, 269, 901, 3210, 568, 3810, 1950, 1317, 540, 519, 606, 529, 32430, 543, 22357, 13745, 6419, 267, 7344, 267, 543, 5122, 3601, 269, 17738, 616, 2919, 543, 6905, 1141, 2556, 547, 2744, 4030, 883, 519, 30372, 543, 7182, 18913, 9300, 1374, 543, 5665, 6724, 269, 15332, 519, 1570, 543, 9511, 6724, 267, 649, 5659, 519, 1198, 540, 1114, 16982, 12331, 267, 8901, 3959, 7648, 267, 543, 5665, 12451, 593, 8417, 269, 4014, 513, 1804, 18529, 292, 1198, 568, 9672, 538, 519, 19852, 29870, 267, 519, 8417, 540, 8106, 18085, 850, 591, 6949, 2209, 1281, 711, 4324, 689, 713, 1198, 269, 1323, 1935, 9001, 2627, 17974, 19852, 2914, 2314, 2488, 513, 3070, 543, 666, 3713, 1507, 6786, 936, 513, 1804, 19961, 269, 18043, 9382, 540, 519, 2298, 3815, 543, 2650, 345, 29090, 1570, 6724, 5815, 2409, 547, 2333, 8417, 543, 5365, 3562, 5991, 18857, 5223, 3648, 269, 3689, 5385, 1532, 328, 1078, 18529, 292, 13716, 8596, 17362, 519, 1259, 585, 11741, 1305, 5725, 543, 14249, 609, 513, 1804, 1297, 540, 9300, 2609, 269, 2060, 606, 6905, 5365, 7146, 5991, 18857, 2203, 267, 1808, 4170, 616, 4857, 602, 1223, 2087, 519, 5365, 3562, 5991, 18857, 5223, 269, 634, 4030, 6591, 1291, 547, 513, 1007, 1523, 602, 666, 4931, 1203, 3105, 7687, 269, 2060, 519, 2164, 543, 3631, 267, 1271, 7418, 616, 1500, 547, 519, 1620, 543, 1646, 540, 18529, 292, 13716, 8596, 609, 16548, 585, 9283, 538, 519, 2104, 269, 0, 1432, 568, 513, 23756, 26083, 2285, 606, 1383, 888, 3080, 1522, 1589, 540, 519, 2798, 607, 1373, 18969, 23578, 856, 540, 513, 11308, 4604, 281, 1287, 519, 23756, 26083, 568, 519, 3337, 4646, 676, 513, 9395, 12285, 6512, 602, 27788, 782, 519, 18969, 269, 589, 14584, 568, 513, 7944, 540, 513, 20372, 269, 1280, 1383, 267, 519, 5207, 267, 9803, 267, 2451, 2865, 543, 1318, 2865, 2798, 616, 782, 14622, 540, 519, 23756, 26083, 563, 1432, 568, 23756, 26083, 538, 476, 273, 323, 888, 288, 23756, 26083, 568, 519, 10545, 23756, 20372, 5627, 782, 519, 2016, 2798, 269, 18452, 568, 606, 5044, 540, 2798, 9138, 676, 741, 1535, 543, 586, 10974, 269, 634, 3977, 568, 519, 23756, 26083, 540, 713, 1305, 540, 2798, 563, 1692, 798, 596, 4194, 513, 23756, 26083, 1966, 888, 7078, 540, 1230, 557, 343, 670, 1638, 454, 268, 9046, 281, 4855, 519, 23756, 26083, 585, 513, 2016, 1305, 540, 2798, 1210, 7941, 543, 20630, 1935, 563, 268, 5153, 476, 272, 281, 4340, 547, 519, 5690, 267, 1265, 2451, 1034, 543, 1318, 2865, 2798, 689, 519, 1305, 623, 543, 6003, 873, 607, 589, 543, 645, 563, 268, 5153, 476, 273, 2433, 4855, 295, 1638, 22829, 272, 2073, 288, 267, 645, 994, 268, 5153, 476, 274, 2433, 4855, 295, 1638, 11583, 272, 267, 589, 267, 595, 994, 268, 5153, 476, 275, 2433, 4855, 295, 1638, 11583, 273, 267, 595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 1062, 547, 2333, 2773, 676, 4946, 3606, 759, 338, 1545, 563, 3963, 568, 10084, 865, 27249, 888, 275, 12226, 269, 10084, 661, 292, 568, 2808, 27249, 1317, 952, 596, 2015, 519, 661, 297, 289, 6189, 543, 2196, 593, 606, 3617, 3498, 7746, 267, 621, 2882, 6703, 547, 12001, 569, 12440, 543, 1450, 519, 946, 540, 2789, 8320, 540, 519, 661, 297, 289, 547, 4196, 13668, 563, 1432, 568, 513, 1101, 1362, 1893, 888, 288, 5752, 1893, 568, 1767, 547, 723, 3689, 11665, 3252, 950, 3252, 538, 602, 1893, 616, 5701, 899, 1022, 824, 4756, 269, 1280, 1383, 267, 538, 971, 513, 1893, 267, 513, 1599, 666, 581, 5293, 607, 606, 4661, 547, 824, 3252, 267, 666, 581, 8120, 676, 1776, 1599, 543, 666, 581, 8655, 607, 513, 1871, 547, 513, 4756, 563, 1432, 568, 3020, 6198, 5752, 888, 1103, 2780, 2257, 267, 6198, 5752, 568, 513, 5752, 17565, 1141, 3292, 616, 9112, 676, 7311, 543, 21882, 3252, 269, 2560, 1879, 513, 6986, 1599, 568, 1572, 609, 930, 2016, 7440, 267, 621, 786, 2141, 2132, 519, 1482, 1267, 267, 543, 3112, 581, 4299, 676, 1022, 4573, 762, 1533, 610, 824, 2427, 2360, 563, 1432, 568, 7347, 5752, 888, 21659, 755, 5752, 568, 513, 2511, 540, 5752, 602, 6212, 593, 7829, 6397, 26694, 543, 6397, 3527, 269, 898, 3340, 3009, 547, 6023, 891, 2165, 5209, 543, 3527, 30780, 676, 18071, 4977, 543, 796, 3711, 27631, 5470, 6835, 269, 1452, 5470, 6835, 1450, 519, 3593, 547, 811, 3362, 3181, 1872, 519, 1982, 269, 0, 288, 8184, 1652, 4816, 6177, 602, 814, 15468, 547, 519, 2666, 568, 711, 2141, 798, 15701, 269, 11569, 267, 1034, 540, 519, 942, 267, 519, 3237, 3136, 547, 1491, 1416, 540, 1864, 676, 8744, 1864, 1426, 269, 901, 568, 1360, 1419, 519, 2013, 609, 1762, 3109, 18346, 610, 1256, 1762, 31450, 945, 798, 711, 2943, 917, 875, 547, 8038, 267, 855, 945, 899, 547, 2263, 519, 10450, 540, 519, 9566, 269, 1452, 5017, 616, 711, 14460, 543, 1034, 1419, 789, 1058, 711, 581, 20109, 269, 634, 3237, 616, 2356, 7404, 267, 7996, 585, 519, 8594, 630, 704, 4257, 3054, 264, 547, 1780, 563, 2252, 596, 3605, 513, 4816, 6177, 538, 713, 3510, 267, 798, 711, 4584, 621, 909, 18928, 855, 2307, 3054, 519, 1739, 2055, 912, 268, 1403, 519, 6177, 1281, 711, 3100, 711, 10413, 610, 538, 7525, 8594, 630, 322, 1846, 267, 9897, 267, 2834, 15102, 540, 8436, 2507, 2567, 798, 711, 5905, 621, 563, 268, 1403, 972, 568, 606, 7525, 8594, 267, 538, 713, 2013, 543, 1152, 538, 713, 2013, 281, 5372, 519, 4816, 6177, 538, 4463, 267, 593, 513, 7936, 610, 538, 513, 1507, 4216, 1930, 593, 519, 1283, 267, 17735, 676, 12673, 689, 519, 7936, 269, 634, 3237, 786, 2132, 547, 1491, 1416, 540, 519, 4816, 6177, 563, 268, 1403, 519, 4816, 6177, 4667, 10413, 630, 327, 4474, 13617, 267, 3368, 12641, 2216, 3750, 2507, 2567, 1289, 513, 7320, 1416, 8998, 269, 23206, 8206, 621, 568, 711, 5227, 547, 1491, 1416, 540, 3552, 5017, 3054, 269, 1684, 711, 2285, 1864, 1426, 610, 4235, 1510, 873, 563, 268, 2480, 14442, 592, 3585, 1246, 519, 5796, 543, 10873, 540, 519, 700, 17269, 269, 0, 1607, 1788, 8268, 519, 1764, 540, 3346, 543, 5872, 998, 3381, 2029, 593, 3344, 540, 18371, 4656, 269, 590, 4869, 344, 29350, 476, 1556, 268, 1321, 1032, 2025, 13677, 3119, 1153, 10453, 6394, 1239, 3823, 14940, 689, 741, 2199, 2146, 998, 26830, 267, 11042, 267, 1463, 8343, 267, 3059, 2592, 543, 3381, 269, 3245, 713, 789, 30341, 513, 3818, 2173, 4215, 6881, 267, 9447, 676, 2756, 27019, 12401, 547, 513, 7649, 1153, 538, 519, 2475, 267, 945, 25262, 730, 269, 15474, 2242, 7018, 538, 519, 6988, 540, 519, 1453, 779, 11994, 540, 741, 2146, 1604, 267, 519, 14940, 540, 741, 2146, 267, 741, 1378, 14940, 267, 543, 3377, 2592, 269, 634, 1453, 779, 946, 540, 1893, 547, 5581, 14940, 811, 1950, 543, 741, 8456, 811, 8537, 269, 901, 814, 6286, 585, 2259, 267, 3609, 543, 2104, 1382, 563, 31871, 540, 3817, 1475, 276, 2008, 347, 22711, 1475, 305, 864, 25734, 9752, 2008, 347, 26397, 4567, 1475, 13775, 910, 476, 1220, 275, 347 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 1548, 616, 476, 1015, 2081, 547, 4688, 1648, 888, 268, 1548, 568, 519, 1271, 540, 5201, 888, 268, 4208, 568, 621, 1271, 547, 4688, 1648, 585, 3214, 888, 268, 1548, 616, 476, 276, 2081, 649, 666, 18359, 1648, 888, 268, 1215, 798, 649, 946, 1447, 1648, 888, 268, 1215, 666, 649, 18359, 5201, 538, 938, 3232, 1272, 888, 268, 4208, 1058, 649, 4688, 1648, 2285, 693, 2547, 476, 273, 4128, 888, 268, 1215, 666, 649, 4688, 1648, 693, 1753, 888, 268, 1548, 616, 2185, 2081, 602, 596, 666, 948, 547, 18359, 5201, 538, 707, 1753, 888, 268, 4208, 798, 649, 991, 547, 946, 1648, 20617, 888, 268, 1215, 798, 594, 2569, 1250, 3167, 3915, 888, 268, 1548, 3217, 909, 513, 2603, 540, 1648, 888, 268, 1548, 568, 2956, 540, 1648, 888, 1432, 616, 476, 1015, 2081, 547, 4688, 1648, 888, 12749, 476, 1015, 2081, 547, 18359, 1648, 3849, 3286, 707, 1554, 3562, 6377, 5615, 563, 2414, 2569, 1648, 4616, 538, 707, 1753, 267, 596, 798, 711, 8209, 991, 547, 979, 856, 543, 6718, 1648, 3608, 2472, 563, 3725, 2897, 707, 1769, 15620, 563, 8196, 5100, 1379, 17446, 563, 9743, 718, 513, 1982, 30154, 610, 5100, 27687, 520, 563, 303, 21332, 1648, 3608, 14233, 10756, 1432, 568, 519, 1271, 540, 5201, 888, 25821, 640, 814, 1082, 3096, 538, 938, 1554, 547, 1554, 1272, 269, 898, 568, 1031, 585, 8654, 11623, 267, 2324, 11655, 543, 6469, 14233, 899, 1210, 3167, 588, 7174, 267, 589, 14727, 543, 811, 269, 2353, 891, 1683, 4313, 547, 1004, 269, 769, 15327, 267, 1804, 6191, 616, 5249, 609, 519, 948, 540, 5201, 563, 3963, 568, 621, 1271, 547, 4688, 1648, 585, 3214, 888, 10303, 1210, 1932, 1454, 1648, 3096, 909, 2067, 2200, 267, 621, 568, 1271, 547, 18359, 621, 269, 6271, 1271, 2601, 547, 946, 1447, 1648, 568, 5533, 269, 2560, 1635, 1210, 1447, 1648, 267, 596, 2461, 2870, 1447, 5533, 269, 8866, 666, 798, 513, 2603, 547, 948, 18359, 1648, 693, 1753, 563, 1432, 616, 476, 276, 2081, 649, 666, 18359, 1648, 888, 2080, 616, 938, 1283, 476, 276, 1863, 543, 2653, 2081, 547, 4688, 1648, 538, 707, 1753, 281, 31282, 1055, 519, 10178, 950, 596, 4734, 513, 4055, 269, 5141, 846, 707, 546, 1905, 525, 610, 6749, 707, 6885, 18707, 1282, 519, 1554, 15030, 1662, 707, 9660, 538, 4411, 1216, 15030, 1905, 610, 3382, 3536, 543, 10425, 538, 519, 21067, 269, 29490, 946, 519, 4411, 1216, 31316, 564, 267, 8259, 596, 2731, 1616, 3905, 1216, 563, 1692, 798, 649, 946, 1447, 1648, 888, 12749, 476, 276, 17778, 547, 21079, 2659, 6052, 29283, 4537, 583, 6658, 707, 2780, 269, 23675, 616, 930, 540, 519, 7887, 1648, 3755, 538, 5604, 5656, 269, 2560, 7994, 519, 1318, 1769, 269, 10896, 15620, 616, 519, 1034, 1648, 3608, 8654, 4781, 269, 2560, 26332, 3729, 30632, 790, 1379, 281, 796, 680, 1872, 7329, 548, 11418, 269, 2560, 2422, 513, 1379, 14816, 547, 2569, 707, 11690, 4452, 269, 2560, 12414, 1055, 519, 8279, 563, 1692, 666, 649, 18359, 5201, 538, 938, 3232, 1272, 888, 2641, 4388, 281, 1100, 21057, 2081, 547, 4688, 5201, 31282, 1055, 11991, 8279, 269, 2560, 2422, 2067, 1769, 269, 2560, 2422, 4305, 8654, 269, 2560, 6875, 10156, 29636, 269, 2560, 12414, 1216, 1055, 950, 695, 3058, 267, 11067, 3946, 267, 17678, 4522, 269, 2560, 674, 1460, 602, 13451, 344, 31316, 564, 269, 2560, 1133, 680, 1872, 30694, 11418, 269, 2560, 667, 3558, 519, 18376, 2780, 21457, 3688, 7498, 3963, 1058, 649, 4688, 1648, 2285, 693, 2547, 476, 273, 4128, 888, 5575, 540, 782, 267, 4227, 1648, 946, 7182, 519, 1297, 540, 3327, 5434, 538, 519, 1604, 269, 2560, 769, 2490, 267, 25137, 1648, 7472, 513, 2362, 2298, 540, 1272, 269, 25841, 5434, 1267, 538, 15777, 2011, 2298, 269, 769, 1840, 267, 621, 2337, 1711, 513, 8902, 4541, 267, 610, 693, 2547, 2337, 2844, 519, 2200, 649, 2907, 723, 563, 1692, 666, 649, 4688, 1648, 693, 1753, 888, 12749, 476, 280, 18467, 547, 13722, 2659, 6052, 9291, 25219, 559, 1125, 7849, 8752, 11053, 1248, 5510, 28691, 543, 22997, 1879, 1411, 589, 1066, 1406, 4635, 23067, 269, 3725, 2897, 12465, 8752, 10089, 2125, 609, 27178, 269, 7476, 513, 12829, 14562, 2865, 520, 9950, 985, 675, 2659, 5851, 568, 7743, 569, 6184, 4327, 10422, 583, 5463, 20753, 28691, 593, 513, 7033, 518, 269, 26368, 543, 1133, 680, 1872, 6052, 966, 2086, 2231, 10611, 9254, 576, 2561, 18910, 2422, 21457, 3688, 7498, 1432, 616, 2185, 2081, 602, 596, 666, 948, 547, 18359, 5201, 538, 707, 1753, 888, 276, 14168, 18467, 547, 3117, 2925, 24542, 4462, 680, 1872, 10331, 10662, 543, 12414, 1055, 28691, 269, 1879, 596, 2461, 711, 1210, 14233, 267, 1118, 2386, 596, 2490, 873, 1055, 269, 2560, 7435, 8862, 1662, 519, 2598, 1127, 269, 6271, 3364, 596, 666, 798, 547, 18359, 5201, 568, 11547, 8286, 676, 1688, 269, 2560, 1261, 908, 543, 8028, 21252, 269, 2560, 4347, 15543, 31530, 7999, 16639, 1354, 1411, 13648, 23067, 269, 2560, 16179, 6052, 31478, 31786, 563, 3963, 798, 649, 991, 547, 946, 1648, 20617, 888, 3725, 777, 519, 2640, 540, 1210, 5201, 20617, 256, 3807, 1373, 513, 2370, 18762, 267, 596, 666, 18359, 1648, 1510, 1454, 8373, 269, 4635, 1648, 20617, 666, 1256, 2569, 707, 5201, 3915, 269, 4635, 1648, 20617, 543, 25137, 1648, 7561, 616, 1079, 2101, 2518, 2152, 269, 1284, 2307, 707, 9316, 538, 968, 24479, 5726, 3034, 1692, 798, 594, 2569, 1250, 3167, 3915, 888, 2080, 616, 476, 1015, 2081, 547, 13722, 2659, 11272, 9291, 8196, 513, 1982, 30154, 27687, 520, 9950, 868, 571, 15564, 3634, 707, 1753, 15030, 792, 6899, 7802, 269, 3725, 2897, 707, 2011, 6882, 11482, 1077, 519, 2837, 593, 519, 1216, 22865, 11065, 531, 766, 24542, 946, 676, 1210, 14233, 21825, 2529, 1511, 24542, 676, 654, 4770, 9660, 538, 4411, 1216, 21457, 3688, 2507, 31220, 1432, 3217, 909, 513, 2603, 540, 1648, 888, 2080, 779, 1018, 3096, 519, 1034, 1648, 538, 707, 1753, 281, 15346, 532, 543, 8022, 281, 476, 5325, 260, 540, 1648, 946, 269, 4826, 22865, 281, 476, 1691, 260, 540, 1648, 946, 269, 12984, 615, 543, 3819, 518, 281, 476, 1724, 260, 540, 1648, 946, 269, 31786, 281, 476, 1321, 260, 540, 1648, 946, 563, 1432, 568, 2956, 540, 1648, 888, 21328, 568, 1360, 1271, 538, 2221, 779, 1158, 269, 1280, 1383, 267, 649, 946, 1114, 1648, 2959, 547, 5352, 519, 5201, 649, 991, 585, 938, 5321, 267, 3506, 267, 4213, 543, 15327, 269, 24542, 7060, 938, 7641, 338, 267, 5904, 267, 2011, 2783, 619, 267, 1591, 11436, 543, 11067, 6191, 1107, 1175, 547, 2446, 513, 1906, 269, 0, 31955, 540, 4065, 27678, 268, 1775, 273, 23727, 324, 454, 275, 3764, 476, 1789, 7643, 454, 14187, 5528, 616, 4105, 538, 543, 856, 540, 519, 4928, 269, 27491, 723, 1463, 1198, 593, 1565, 269, 589, 3992, 610, 2534, 3587, 26093, 543, 14543, 950, 1053, 798, 711, 1174, 1018, 789, 616, 9277, 547, 798, 269, 634, 11908, 8828, 2160, 5441, 540, 4065, 781, 4659, 585, 3955, 13694, 13241, 4065, 630, 328, 273, 23727, 324, 264, 9727, 713, 1448, 609, 513, 1187, 1383, 734, 6011, 547, 1118, 513, 24113, 7423, 543, 21297, 26889, 563, 1607, 960, 568, 2895, 1882, 543, 7856, 896, 519, 23789, 781, 3044, 10677, 543, 19074, 12689, 267, 2139, 1934, 269, 7201, 713, 12689, 267, 1439, 268, 22852, 949, 5299, 267, 4558, 267, 543, 15814, 713, 960, 1510, 19231, 269, 1280, 2055, 1644, 547, 3606, 19074, 540, 713, 960, 267, 5225, 3346, 519, 10677, 8227, 563, 10481, 3073, 807, 8828, 2160, 267, 834, 763, 11957, 540, 13068, 27491, 4843, 676, 1775, 273, 23727, 324, 257, 630, 1708, 271, 1040, 2160, 27678, 269, 476, 13199, 272, 269, 0, 323, 264, 1677, 3313, 519, 1884, 514, 22021, 1543, 543, 13608, 12950, 3601, 538, 519, 993, 541, 13183, 10286, 1587, 454, 1607, 1382, 1957, 568, 5497, 547, 6318, 4656, 540, 519, 2640, 540, 2898, 9274, 538, 519, 2732, 607, 1134, 607, 547, 13599, 519, 7082, 593, 875, 547, 2824, 2898, 10286, 2472, 454, 269, 11660, 2090, 616, 12649, 267, 543, 519, 6225, 2360, 540, 1480, 4616, 540, 2898, 10286, 3536, 616, 24298, 563, 257, 6624, 6803, 32345, 2709, 1072, 2640, 267, 2523, 1346, 602, 1445, 593, 10286, 2472, 454, 267, 5388, 267, 22053, 267, 543, 5613, 2437, 6941, 595, 785, 344, 18703, 267, 513, 25350, 267, 11882, 267, 513, 10805, 2732, 23790, 543, 606, 5084, 288, 22557, 17367, 563, 763, 1101, 512, 1512, 1131, 1331, 1346, 4808, 24565, 1034, 1271, 282, 1775, 4318, 1421, 3548, 513, 3099, 540, 3536, 282, 4497, 538, 2168, 2534, 547, 2226, 610, 2087, 2597, 267, 543, 3442, 513, 2732, 609, 7899, 540, 10286, 2472, 454, 267, 5613, 267, 543, 5388, 267, 11197, 29231, 1767, 563, 7712, 5412, 476, 1960, 279, 267, 782, 10286, 2472, 454, 338, 1245, 538, 4516, 723, 1044, 25167, 609, 31447, 3679, 609, 476, 271, 269, 1428, 8406, 540, 31833, 829, 476, 1911, 575, 540, 7912, 563, 16521, 811, 2898, 10286, 2472, 454, 269, 9105, 585, 6960, 7573, 693, 707, 5172, 7489, 14060, 267, 543, 946, 811, 2898, 10286, 3694, 543, 18437, 267, 24061, 267, 844, 29184, 267, 993, 541, 13183, 267, 11369, 342, 17742, 267, 838, 3881, 267, 543, 737, 600, 583, 563, 4322, 616, 2898, 10286, 2472, 454, 1721, 519, 476, 2641, 560, 2540, 267, 602, 9192, 519, 16919, 543, 18282, 3214, 1616, 609, 519, 2635, 5567, 1631, 2838, 676, 1876, 563, 763, 4367, 543, 13319, 540, 2898, 10286, 2472, 454, 267, 971, 607, 3694, 338, 267, 9126, 1564, 267, 544, 4428, 1231, 543, 1256, 12897, 267, 666, 849, 5397, 29221, 2044, 6455, 563, 293, 25544, 267, 1336, 538, 10538, 10433, 267, 12015, 10365, 267, 21364, 16719, 543, 10286, 2472, 454, 267, 6971, 1973, 2157, 540, 4630, 7514, 4614, 710, 267, 606, 11254, 3679, 602, 14796, 16050, 6821, 563, 22512, 995, 22987, 540, 1239, 689, 19760, 3198, 2464, 8633, 267, 513, 2487, 18487, 1072, 543, 6484, 5619, 267, 4951, 602, 6830, 2305, 540, 10286, 2472, 454, 5976, 519, 645, 6171, 31833, 949, 948, 2569, 3965, 2530, 538, 519, 936, 268, 2568, 1305, 563, 8256, 11962, 609, 8192, 543, 1072, 7840, 267, 4892, 1631, 8532, 1079, 1922, 604, 2195, 811, 10286, 2472, 454, 663, 513, 11359, 811, 5613, 543, 5388, 829, 21027, 982, 789, 1705, 538, 476, 3192, 271, 267, 3548, 10709, 518, 5779, 267, 543, 4235, 2539, 3170, 5144, 269, 0, 1789, 269, 2311, 2985, 476, 1015, 267, 519, 1867, 19528, 519, 3670, 29746, 4609, 3544, 519, 2048, 295, 685, 3679, 2030, 22402, 1141, 519, 31993, 729, 14084, 538, 519, 1930, 269, 2311, 3817, 476, 2918, 543, 476, 2767, 267, 519, 1867, 2829, 593, 519, 4493, 540, 966, 9950, 2529, 269, 13753, 602, 1247, 1978, 19401, 941, 1336, 13572, 1866, 941, 711, 269, 2311, 2985, 476, 9834, 267, 519, 1867, 2829, 3976, 912, 763, 2361, 12220, 538, 13572, 4610, 538, 2098, 2158, 594, 543, 4083, 4951, 602, 1100, 7031, 941, 4947, 538, 519, 2361, 3226, 538, 1970, 14084, 2127, 269, 2201, 930, 11506, 2127, 267, 7031, 899, 795, 578, 541, 267, 22959, 941, 3395, 282, 2705, 519, 2208, 543, 6556, 941, 1360, 4057, 563, 10702, 621, 729, 849, 4767, 602, 1256, 4054, 899, 552, 32023, 12630, 538, 13572, 4610, 1397, 6978, 8781, 543, 25224, 539, 2208, 269, 3509, 2025, 4054, 799, 941, 21354, 4299, 1813, 547, 12526, 616, 1869, 3395, 896, 2566, 2175, 607, 513, 1267, 540, 3037, 12526, 563, 763, 1283, 11934, 693, 519, 2025, 29746, 4609, 3544, 519, 2030, 22402, 616, 1869, 13572, 543, 2154, 632, 4186, 8727, 1354, 519, 2244, 568, 1031, 585, 824, 5301, 563, 2005, 729, 4767, 602, 1256, 1310, 519, 5106, 540, 688, 30389, 519, 31993, 1394, 547, 519, 2872, 22402, 267, 930, 31993, 6404, 3037, 729, 1869, 14084, 538, 519, 22402, 540, 513, 3119, 1153, 630, 8368, 476, 272, 269, 272, 1070, 799, 2115, 632, 4186, 8727, 3034, 4029, 269, 3848, 268, 277, 540, 519, 1867, 19528, 519, 1121, 539, 658, 3800, 269, 3474, 320, 476, 277, 269, 272, 267, 11331, 968, 7072, 892, 2829, 912, 2108, 2026, 1223, 581, 2938, 689, 519, 1239, 4080, 538, 30667, 476, 275, 543, 476, 276, 267, 519, 2666, 1216, 543, 11934, 1369, 476, 273, 5998, 689, 519, 2030, 723, 1044, 13572, 269, 2991, 9691, 29506, 1944, 519, 1239, 267, 621, 729, 11943, 602, 972, 568, 606, 14849, 991, 547, 960, 856, 513, 632, 4186, 8727, 4640, 585, 519, 4299, 1858, 269, 901, 4640, 2882, 519, 632, 4186, 8727, 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 ]
[ 561, 314, 3847, 3910, 561, 314, 785, 823, 316, 815, 561, 314, 785, 823, 3910, 561, 314, 3847, 316, 476, 1948, 5385, 1101, 1605, 332, 609, 519, 4351, 1227, 6074, 835, 454, 825, 1948, 2745, 2891, 4820, 819, 9339, 6783, 17585, 334, 4571, 4351, 267, 2220, 1952, 334, 24924, 22141, 281, 567, 14307, 561, 994, 825, 967, 823, 815, 2451, 476, 1948, 519, 11667, 568, 519, 1101, 1605, 332, 540, 519, 5044, 692, 825, 1247, 6936, 912, 1038, 1102, 6834, 476, 272, 454, 1038, 1247, 1102, 10922, 1318, 543, 561, 314, 8882, 316, 10922, 561, 314, 785, 823, 14158, 2018, 1102, 6834, 476, 272, 454, 1038, 24101, 20699, 476, 272, 454, 1038, 1247, 561, 314, 338, 1575, 316, 3436, 561, 314, 785, 823, 14158, 2018, 24101, 20699, 476, 272, 454, 1038, 952, 1102, 2999, 24101, 912, 2018, 561, 314, 8882, 3910, 561, 314, 338, 1575, 316, 815, 561, 314, 338, 1575, 3910, 561, 314, 8882, 2639, 1038, 3116, 912, 2018, 2736, 454, 825, 561, 314, 785, 823, 3910, 561, 314, 338, 1575, 316, 815, 561, 314, 338, 1575, 3910, 561, 314, 785, 823, 2639, 825, 1948, 2745, 2891, 268, 834, 2608, 2451, 1341, 1193, 10857, 314, 3847, 281, 2431, 1341, 476, 272, 8079, 1341, 834, 910, 257, 2608, 630, 6352, 10857, 264, 910, 1318, 910, 476, 272, 4917, 825, 2132, 24101, 692, 0, 5035, 1261, 777, 16655, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 561, 2187, 1038, 5727, 2005, 3217, 513, 1592, 607, 519, 9936, 454, 1038, 8173, 1038, 1582, 269, 515, 777, 815, 561, 454, 1038, 1582, 32324, 815, 7003, 10857, 2020, 825, 1219, 568, 10387, 27679, 4311, 2187, 1038, 2132, 1582, 32324, 2652, 476, 271, 692, 825, 1219, 3193, 306, 517, 4311, 267, 4651, 27306, 2187, 1038, 5727, 14303, 5281, 910, 272, 952, 4651, 568, 513, 6978, 454, 1038, 8173, 1038, 952, 4651, 27306, 2608, 476, 273, 1341, 476, 272, 3436, 630, 1345, 32324, 910, 476, 272, 2567, 476, 1948, 4651, 27306, 1875, 688, 4453, 2993, 454, 2018, 2132, 910, 272, 692, 1038, 952, 4651, 27306, 2608, 476, 273, 1341, 476, 273, 3436, 630, 1345, 32324, 910, 476, 272, 2567, 476, 1948, 4651, 27306, 688, 796, 796, 4815, 4453, 331, 1470, 1196, 552, 262, 4651, 27306, 2608, 476, 273, 1341, 272, 454, 2018, 2132, 4651, 27306, 2608, 476, 273, 1341, 476, 272, 692, 1038, 952, 1582, 269, 515, 777, 314, 15289, 27306, 2608, 476, 273, 1341, 476, 272, 316, 3436, 1582, 269, 515, 777, 314, 454, 23351, 4651, 27306, 2608, 476, 273, 1341, 476, 273, 13912, 476, 1948, 4651, 27306, 688, 1813, 4453, 2993, 552, 23313, 1608, 3712, 320, 24924, 14039, 340, 262, 6264, 324, 454, 2018, 2132, 4651, 27306, 2608, 476, 273, 1341, 476, 272, 454, 1038, 3116, 912, 2018, 2132, 4651, 27306, 2608, 476, 273, 1341, 476, 273, 692, 825, 1219, 1265, 16655, 4311, 2567, 476, 1948, 7708, 29166, 561, 262, 324, 2211, 334, 2527, 24982, 538, 796, 24050, 552, 262, 579, 326, 783, 324, 513, 1964, 15856, 790, 3288, 2234, 823, 546, 749, 262, 515, 777, 454, 1038, 952, 1582, 32324, 2652, 476, 271, 912, 2018, 2132, 7183, 454, 1038, 3116, 912, 2018, 2132, 1582, 269, 515, 777, 314, 271, 6540, 825, 1219, 1847, 291, 1144, 4311, 267, 4651, 27306, 2187, 1038, 5727, 305, 760, 2077, 2088, 561, 262, 867, 514, 3512, 334, 838, 739, 18372, 2357, 810, 24924, 1666, 810, 24924, 12162, 334, 1019, 967, 823, 4651, 27306, 454, 1038, 8173, 1038, 5067, 815, 1582, 27982, 306, 517, 6600, 1430, 27306, 994, 1038, 1247, 5067, 11203, 910, 272, 543, 1582, 269, 515, 777, 314, 5459, 316, 3436, 1582, 269, 515, 777, 314, 15289, 27306, 14158, 2018, 1582, 269, 515, 777, 314, 5459, 3910, 1582, 269, 515, 777, 314, 15289, 27306, 316, 815, 1582, 269, 515, 777, 314, 15289, 27306, 3910, 1582, 269, 515, 777, 314, 5459, 2639, 2018, 4651, 27306, 815, 5067, 454, 2018, 5067, 815, 1582, 27982, 306, 517, 6600, 1430, 27306, 2020, 825, 1219, 18419, 16655, 4311, 2187, 1038, 5727, 302, 263, 8421, 562, 1040, 5487, 3545, 3120, 2874, 324, 562, 10314, 1085, 3711, 328, 732, 24924, 2215, 334, 552, 561, 262, 738, 24982, 3693, 334, 269, 661, 562, 601, 18009, 2077, 514, 732, 561, 262, 867, 710, 454, 1038, 1140, 571, 591, 810, 3288, 3545, 3120, 1847, 291, 1144, 1965, 1122, 3726, 320, 521, 592, 2215, 334, 3693, 334, 269, 769, 27117, 516, 2097, 23313, 4996, 383, 366, 642, 539, 699, 267, 561, 262, 324, 2211, 334, 1750, 642, 1329, 324, 454, 1038, 834, 322, 766, 961, 6737, 257, 538, 1483, 339, 14504, 1875, 642, 1329, 324, 5154, 514, 6737, 546, 718, 320, 30458, 267, 12103, 1875, 32646, 14504, 14039, 383, 373, 2015, 6737, 538, 844, 18372, 3288, 5761, 515, 3960, 320, 454, 1038, 546, 749, 262, 515, 777, 3331, 357, 4903, 1640, 333, 1092, 513, 3259, 910, 272, 8894, 1038, 8173, 1038, 952, 1582, 32324, 2652, 476, 271, 912, 2018, 2132, 7183, 454, 1038, 1948, 1085, 25995, 2215, 334, 1196, 3706, 24982, 3693, 334, 454, 1038, 3193, 19368, 815, 1582, 269, 515, 777, 314, 271, 2639, 1038, 1582, 269, 515, 777, 314, 271, 3910, 1582, 269, 515, 777, 314, 1345, 32324, 910, 476, 272, 316, 815, 1582, 269, 515, 777, 314, 1345, 32324, 910, 476, 272, 3910, 1582, 269, 515, 777, 314, 271, 2639, 1038, 1582, 32324, 20699, 476, 272, 454, 1038, 1582, 6230, 913, 291, 1144, 263, 271, 264, 476, 1948, 18009, 2077, 2088, 561, 262, 867, 514, 3512, 334, 598, 18665, 990, 328, 15368, 810, 3890, 521, 592, 2215, 334, 1605, 12661, 1729, 454, 1038, 2132, 3193, 19368, 692, 825, 1219, 24050, 1518, 4311, 2187, 1038, 5727, 302, 263, 8421, 562, 264, 3331, 357, 3288, 3545, 3120, 1750, 829, 5471, 974, 1019, 1942, 745, 790, 19448, 1193, 18636, 3120, 3611, 328, 24050, 851, 754, 334, 13005, 19448, 30458, 563, 1038, 8173, 1038, 1582, 18622, 15479, 633, 3891, 777, 1518, 263, 271, 267, 1582, 32324, 910, 476, 272, 2020, 825, 1219, 25276, 3891, 777, 1518, 4311, 267, 1101, 267, 2063, 17107, 1038, 952, 1101, 3436, 2063, 912, 2018, 2132, 454, 1038, 1582, 18622, 15479, 633, 3891, 777, 1518, 263, 273, 2608, 1101, 1341, 476, 272, 267, 2063, 264, 476, 1948, 14906, 324, 796, 24050, 24924, 521, 582, 1729, 531, 828, 334, 5609, 626, 549, 1019, 1101, 454, 1038, 1582, 18622, 15479, 633, 3891, 777, 1518, 263, 273, 2608, 1101, 1341, 476, 273, 267, 2063, 264, 476, 1948, 14906, 324, 796, 24050, 24924, 521, 582, 1729, 531, 828, 334, 16188, 1019, 1101, 454, 1038, 1582, 6230, 913, 291, 1144, 6600, 1009, 264, 476, 1948, 18009, 2077, 2088, 561, 262, 867, 514, 3512, 334, 838, 739, 18372, 1101, 2357, 810, 24924, 1666, 810, 7531, 0, 338, 284, 6358, 4590, 2745, 3488, 8133, 262, 952, 521, 314, 271, 281, 274, 4940, 12248, 4433, 314, 271, 8079, 2652, 476, 274, 610, 521, 314, 272, 281, 275, 4940, 12248, 4433, 314, 272, 8079, 2652, 476, 274, 3116, 1412, 5591, 5073 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 275, 912, 4848, 13537, 3488, 2411, 734, 5073, 4848, 13537, 3488, 20594, 1262, 5073, 4848, 453, 2908, 318, 653, 514, 815, 1193, 263, 1326, 10139, 10947, 10139, 3488, 25321, 293, 7644, 300, 21832, 623, 2562, 281, 1412, 4917, 4848, 13537, 3488, 20594, 30995, 5073, 4848, 13537, 3488, 2411, 19203, 5073, 4848, 14851, 1007, 318, 653, 514, 11203, 1007, 7272, 514, 912, 15235, 13537, 3488, 1366, 955, 5073, 15235, 13537, 3488, 11960, 7052, 5073, 15235, 13537, 3488, 303, 2562, 631, 3041, 21316, 6224, 5073, 15235, 13537, 3488, 11960, 7052, 5073, 15235, 13537, 3488, 1366, 955, 5073, 4848, 28432, 912, 15235, 453, 335, 1231, 19559, 316, 815, 1007, 7272, 514, 454, 15235, 13537, 3488, 301, 11246, 623, 2562, 14408, 309, 3633, 5073, 453, 28432, 912, 4848, 13537, 3488, 5785, 955, 268, 5073, 4848, 13537, 3488, 20594, 20594, 7052, 265, 5073, 4848, 13537, 3488, 567, 21832, 623, 2562, 631, 19851, 12164, 306, 8780, 5508, 476, 275, 667, 5456, 3951, 306, 1422, 333, 13263, 631, 19851, 18688, 667, 9281, 29052, 7728, 9215, 28217, 9654, 302, 4785, 623, 2562, 5073, 4848, 13537, 3488, 20594, 20594, 7052, 265, 5073, 4848, 13537, 3488, 5785, 955, 268, 17210, 453, 19197, 3210, 2652, 1412, 339, 12466, 453, 453, 23810, 815, 1193, 9272, 3488, 10345, 22268, 645, 3198, 298, 20978, 674, 5357, 299, 8582, 5058, 2433, 1422, 333, 30641, 1678, 1693, 9191, 16775, 264, 1422, 333, 296, 321, 21403, 13090, 263, 289, 13993, 264, 1422, 333, 17092, 289, 14168, 13090, 263, 17092, 289, 264, 1422, 333, 8448, 3071, 263, 302, 264, 1422, 333, 281, 1412, 26895, 12294, 4590, 453, 453, 20777, 10734, 1678, 815, 18358, 802, 3299, 1412, 321, 4565, 3299, 1412, 2675, 321, 262, 2073, 1412, 334, 23300, 453, 453, 23810, 815, 4871, 31573, 4590, 453, 14851, 4871, 2652, 1412, 802, 12466, 4848, 13537, 3488, 24801, 955, 5073, 4848, 13537, 3488, 20594, 20594, 20594, 7052, 5073, 4848, 453, 6112, 6936, 912, 15235, 453, 339, 787, 912, 20930, 453, 659, 870, 16182, 815, 703, 9272, 3488, 7728, 2207, 918, 3008, 31082, 3036, 301, 645, 3198, 298, 8028, 4596, 7419, 307, 9517, 281, 1412, 4297, 28768, 20930, 13537, 3488, 24801, 955, 5073, 20930, 13537, 3488, 20594, 20594, 20594, 7052, 5073, 20930, 453, 6112, 6936, 912, 4848, 15235, 453, 339, 787, 912, 20930, 4848, 453, 26920, 4671, 4920, 815, 703, 9272, 3488, 7728, 2207, 7537, 5495, 18199, 9358, 654, 19611, 9215, 13138, 23177, 29052, 281, 1412, 4917, 20930, 4848, 13537, 3488, 24801, 955, 5073, 20930, 4848, 13537, 3488, 20594, 20594, 20594, 7052, 5073, 20930, 4848, 13537, 4590, 20930, 4848, 453, 26920, 338, 19559, 316, 815, 5666, 19559, 316, 910, 2179, 4671, 4920, 454, 20930, 4848, 13537, 3488, 24801, 955, 5073, 20930, 4848, 13537, 3488, 20594, 20594, 20594, 7052, 5073, 20930, 4848, 13537, 3488, 312, 21788, 25758, 24639, 6717, 8577, 293, 8085, 13138, 23177, 29052, 2433, 1422, 333, 289, 3198, 330, 2433, 918, 3008, 31082, 3036, 301, 645, 3198, 298, 1422, 333, 3722, 4596, 7419, 307, 318, 2839, 2433, 22207, 659, 870, 16182, 267, 1412, 315, 333, 4456, 5495, 18199, 318, 15045, 23177, 29052, 2433, 262, 2073, 26920, 4671, 4920, 267, 1412, 289, 26059, 262, 12467, 20930, 4848, 13537, 3488, 312, 21788, 10896, 294, 2207, 645, 3201, 23814, 4959, 281, 22207, 5666, 19559, 3910, 1412, 289, 26059, 5073, 20930, 4848, 13537, 3488, 20594, 20594, 20594, 7052, 5073, 20930, 4848, 13537, 3488, 24801, 955, 5073, 20930, 4848, 453, 19874, 454, 4848, 15235, 453, 21955, 912, 20930, 4848, 13537, 2891, 1607, 568, 711, 513, 7089, 269, 7490, 4283, 513, 14559, 8442, 28768, 20930, 4848, 13537, 3488, 24801, 9339, 5073, 20930, 453, 19874, 454, 15235, 453, 21955, 912, 20930, 13537, 2891, 1607, 568, 711, 513, 7089, 269, 7490, 4283, 513, 4570, 8028, 4596, 7419, 307, 9517, 8442, 28768, 20930, 13537, 3488, 24801, 9339, 17210, 453, 453, 19197, 4871, 2652, 1412, 321, 4565, 12466, 4848, 13537, 3488, 24801, 955, 5073, 4848, 13537, 3488, 20594, 20594, 20594, 7052, 5073, 4848, 453, 6112, 6936, 912, 15235, 453, 339, 787, 912, 20930, 453, 659, 870, 16182, 815, 703, 9272, 3488, 7728, 2207, 645, 308, 3201, 308, 20315, 645, 3198, 298, 8028, 4596, 7419, 307, 9517, 281, 1412, 4297, 28768, 20930, 13537, 3488, 24801, 955, 5073, 20930, 13537, 3488, 20594, 20594, 20594, 7052, 5073, 20930, 453, 6112, 6936, 912, 4848, 15235, 453, 339, 787, 912, 20930, 4848, 453, 26920, 4671, 4920, 815, 703, 9272, 3488, 7728, 2207, 7537, 5495, 18199, 9358, 654, 19611, 9215, 13138, 23177, 29052, 281, 1412, 4917, 20930, 4848, 13537, 3488, 24801, 955, 5073, 20930, 4848, 13537, 3488, 20594, 20594, 20594, 7052, 5073, 20930, 4848, 13537, 4590, 20930, 4848, 453, 26920, 338, 19559, 316, 815, 5666, 19559, 316, 910, 2179, 4671, 4920, 454, 20930, 4848, 13537, 3488, 24801, 955, 5073, 20930, 4848, 13537, 3488, 20594, 20594, 20594, 7052, 5073, 20930, 4848, 13537, 3488, 312, 21788, 25758, 24639, 6717, 8577, 293, 8085, 13138, 23177, 29052, 2433, 1422, 333, 289, 3198, 330, 2433, 645, 308, 3201, 308, 20315, 645, 3198, 298, 1422, 333, 3722, 4596, 7419, 307, 318, 2839, 2433, 22207, 659, 870, 16182, 267, 1412, 315, 333, 4456, 5495, 18199, 318, 15045, 23177, 29052, 2433, 262, 2073, 26920, 4671, 4920, 267, 1412, 289, 26059, 262, 12467, 20930, 4848, 13537, 3488, 312, 21788, 10896, 294, 2207, 645, 3201, 23814, 4959, 281, 22207, 5666, 19559, 3910, 1412, 289, 26059, 5073, 20930, 4848, 13537, 3488, 20594, 20594, 20594, 7052, 5073, 20930, 4848, 13537, 3488, 24801, 955, 5073, 20930, 4848, 453, 19874, 454, 4848, 15235, 453, 21955, 912, 20930, 4848, 13537, 2891, 1607, 568, 711, 513, 7089, 269, 7490, 4283, 513, 14559, 8442, 28768, 20930, 4848, 13537, 3488, 24801, 9339, 5073, 20930, 453, 19874, 454, 15235, 453, 21955, 912, 20930, 13537, 2891, 1607, 568, 711, 513, 7089, 269, 7490, 4283, 513, 4570, 8028, 4596, 7419, 307, 9517, 8442, 28768, 20930, 13537, 3488, 24801, 9339, 5073, 453, 453, 19197, 4871, 2652, 1412, 2675, 321, 12466, 4848, 13537, 3488, 24801, 955, 5073, 4848, 13537, 3488, 20594, 20594, 20594, 7052, 5073, 4848, 453, 6112, 6936, 912, 15235, 453, 339, 787, 912, 20930, 453, 659, 870, 16182, 815, 703, 9272, 3488, 7728, 2207, 16038, 4456, 2910, 300, 2207, 7563, 6579, 645, 3198, 298, 8028, 4596, 7419, 307, 9517, 281, 1412, 4297, 28768, 20930, 13537, 3488, 24801, 955, 5073, 20930, 13537, 3488, 20594, 20594, 20594, 7052, 5073, 20930, 453, 6112, 6936, 912, 4848, 15235, 453, 339, 787, 912, 20930, 4848, 453, 26920, 4671, 4920, 815, 703, 9272, 3488, 7728, 2207, 7537, 5495, 18199, 9358, 654, 19611, 9215, 13138, 23177, 29052, 281, 1412, 4917, 20930, 4848, 13537, 3488, 24801, 955, 5073, 20930, 4848, 13537, 3488, 20594, 20594, 20594, 7052, 5073, 20930, 4848, 13537, 4590, 20930, 4848, 453, 26920, 338, 19559, 316, 815, 5666, 19559, 316, 910, 2179, 4671, 4920, 454, 20930, 4848, 13537, 3488, 24801, 955, 5073, 20930, 4848, 13537, 3488, 20594, 20594, 20594, 7052, 5073, 20930, 4848, 13537, 3488, 312, 21788, 25758, 24639, 6717, 8577, 293, 8085, 13138, 23177, 29052, 2433, 1422, 333, 289, 3198, 330, 2433, 16038, 4456, 2910, 300, 2207, 7563, 6579, 645, 3198, 298, 1422, 333, 3722, 4596, 7419, 307, 318, 2839, 2433, 22207, 659, 870, 16182, 267, 1412, 315, 333, 4456, 5495, 18199, 318, 15045, 23177, 29052, 2433, 262, 2073, 26920, 4671, 4920, 267, 1412, 289, 26059, 262, 12467, 20930, 4848, 13537, 3488, 312, 21788, 10896, 294, 2207, 645, 3201, 23814, 4959, 281, 22207, 5666, 19559, 3910, 1412, 289, 26059, 5073, 20930, 4848, 13537, 3488, 20594, 20594, 20594, 7052, 5073, 20930, 4848, 13537, 3488, 24801, 955, 5073, 20930, 4848, 453, 19874, 454, 4848, 15235, 453, 21955, 912, 20930, 4848, 13537, 2891, 1607, 568, 711, 513, 7089, 269, 7490, 4283, 513, 4570, 14559, 8442, 28768, 20930, 4848, 13537, 3488, 24801, 9339, 5073, 20930, 453, 19874, 454, 15235, 453, 21955, 912, 20930, 13537, 2891, 1607, 568, 711, 513, 7089, 269, 7490, 4283, 513, 4570, 8028, 4596, 7419, 307, 9517, 8442, 28768, 20930, 13537, 3488, 24801, 9339, 17210, 453, 453, 19197, 4871, 2652, 1412, 334, 12466, 4848, 13537, 3488, 24801, 955, 5073, 4848, 13537, 3488, 20594, 20594, 20594, 7052, 5073, 4848, 453, 6112, 6936, 912, 20930, 453, 3467, 23810, 815, 3403, 3488, 7728, 2207, 645, 3198, 298, 715, 28719, 281, 30386, 20930, 14851, 811, 23810, 18994, 10401, 10031, 4848, 15235, 453, 15675, 302, 263, 3467, 23810, 994, 4848, 15235, 453, 19874, 454, 20930, 28432, 912, 4848, 15235, 13537, 2891, 1607, 568, 711, 513, 5569, 269, 7490, 4283, 513, 4570, 8745, 8442, 28768, 4848, 15235, 13537, 3488, 24801, 9339, 5073, 20930, 4848, 454, 453, 28432, 10778, 4848, 13537, 3488, 2411, 734, 5073, 4848, 13537, 3488, 20594, 1262, 5073, 4848, 13537, 3488, 303, 4041, 17955, 13138, 312, 589, 16598, 2562, 5073, 4848, 13537, 3488, 20594, 1262, 5073, 4848, 13537, 3488, 2411, 734, 5073, 672, 453, 22322, 453, 19197, 3210, 2652, 1412, 336, 12466, 453, 453, 1410, 527, 4590, 28432, 912, 453, 13537, 3488, 2411, 734, 5073, 453, 13537, 3488, 20594, 1262, 5073, 453, 13537, 3488, 305, 2464, 303, 2177, 10345, 10691, 966, 3201, 2839, 5073, 453, 13537, 3488, 20594, 1262, 5073, 453, 13537, 3488, 2411, 734, 5073, 0, 12163, 763, 3804, 540, 713, 1966, 568, 547, 2936, 519, 834, 8469, 1014, 20904, 257, 5690, 630, 322, 2642, 538, 519, 10432, 476, 274, 11000, 593, 24050, 3156, 1916, 763, 1257, 3758, 3568, 513, 1592, 540, 519, 9981, 689, 476, 272, 547, 476, 1911, 876, 538, 5667, 9285, 1931, 282, 596, 1058, 1521, 713, 607, 513, 6908, 540, 2338, 267, 21945, 835, 676, 835, 563, 4131, 1154, 1535, 10983, 20301, 519, 476, 603, 1297, 540, 519, 3758, 267, 519, 737, 628, 11667, 544, 17624, 568, 3989, 607, 519, 11667, 540, 519, 2338, 1535, 318, 272, 267, 24222, 343, 17624, 563, 263, 3383, 267, 952, 737, 568, 9642, 267, 1287, 544, 17624, 568, 16733, 330, 266, 272, 8358, 273, 264, 628, 10545, 1297, 1851, 1535, 318, 272, 267, 24222, 343, 17624, 282, 952, 737, 568, 1256, 267, 1287, 544, 17624, 568, 519, 630, 330, 270, 273, 264, 628, 10545, 1297, 1851, 1535, 318, 272, 267, 24222, 343, 17624, 2020, 1103, 519, 4216, 2630, 596, 1058, 1826, 519, 2040, 540, 891, 476, 1911, 876, 1199, 2103, 267, 1110, 25222, 476, 1911, 876, 630, 328, 4318, 1421, 1152, 519, 2063, 476, 275, 9704, 1916, 6546, 568, 267, 596, 1058, 12337, 630, 332, 318, 272, 266, 332, 318, 273, 266, 332, 318, 274, 1341, 3267, 266, 544, 318, 1911, 876, 264, 1110, 476, 1911, 876, 454, 20701, 5814, 24050, 336, 692, 3698, 11667, 14611, 5199, 31526, 11243, 2187, 825, 1948, 3193, 24050, 1031, 547, 1832, 3950, 540, 519, 10545, 2338, 454, 825, 1970, 3891, 777, 815, 11713, 825, 1948, 1295, 24050, 1031, 547, 1832, 3950, 540, 519, 4102, 2338, 454, 825, 1164, 3891, 777, 815, 11713, 825, 2040, 815, 476, 271, 692, 825, 535, 815, 1930, 31526, 11243, 267, 834, 337, 15419, 825, 585, 1899, 538, 535, 912, 1038, 1297, 815, 703, 263, 1467, 25331, 29328, 28361, 333, 262, 1040, 29328, 31156, 1038, 1948, 2141, 1039, 519, 1297, 547, 519, 1970, 3891, 777, 454, 1038, 1948, 3850, 519, 1970, 3891, 777, 547, 723, 835, 811, 3693, 982, 519, 1164, 3891, 777, 454, 1038, 1948, 946, 513, 2942, 1297, 547, 1118, 621, 513, 3193, 24050, 630, 331, 17999, 1297, 786, 2731, 581, 519, 10545, 994, 1038, 24050, 336, 269, 515, 1952, 2313, 263, 869, 3891, 777, 267, 910, 15893, 2020, 1038, 1948, 556, 4472, 3496, 1900, 454, 1038, 1948, 1491, 519, 4102, 1871, 689, 1970, 3891, 777, 543, 1039, 547, 1164, 3891, 777, 454, 1038, 3193, 11749, 815, 24050, 336, 269, 515, 1952, 641, 263, 869, 3891, 777, 994, 1038, 24050, 336, 269, 515, 1952, 2313, 263, 14683, 3891, 777, 267, 910, 10946, 11749, 2020, 1038, 1948, 1631, 649, 991, 547, 1118, 2386, 602, 519, 1164, 3891, 777, 568, 711, 513, 8273, 2450, 1287, 519, 1970, 3891, 777, 454, 1038, 1948, 952, 621, 568, 267, 1098, 3455, 519, 10545, 3693, 538, 519, 1164, 3891, 777, 547, 519, 1970, 3891, 777, 454, 1038, 952, 7003, 263, 869, 3891, 777, 264, 2999, 7003, 263, 14683, 3891, 777, 2187, 2018, 1295, 11749, 815, 24050, 336, 269, 515, 1952, 641, 263, 14683, 3891, 777, 994, 2018, 24050, 336, 269, 515, 1952, 2313, 263, 869, 3891, 777, 267, 910, 2381, 11749, 9239, 1038, 1948, 1631, 649, 666, 5173, 519, 11667, 454, 1038, 1948, 585, 713, 2243, 267, 519, 11667, 786, 2141, 581, 519, 3193, 1297, 538, 519, 1970, 3891, 777, 454, 1038, 8173, 1038, 952, 649, 941, 2965, 12719, 519, 11667, 1287, 8164, 519, 2450, 540, 519, 1079, 646 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1141, 3025, 568, 5701, 8449, 896, 519, 1876, 543, 1141, 519, 1543, 540, 707, 1915, 6927, 811, 982, 519, 2681, 540, 707, 2960, 563, 305, 864, 15918, 785, 2229, 4507, 543, 606, 1439, 547, 3961, 6214, 4465, 1405, 1439, 10168, 5612, 269, 8616, 10168, 679, 706, 637, 1152, 538, 810, 30138, 607, 1004, 540, 1114, 14797, 1589, 540, 835, 1776, 607, 11214, 9247, 1114, 563, 2026, 1279, 607, 938, 2229, 13000, 5198, 607, 513, 4295, 8984, 540, 606, 1367, 267, 2486, 786, 4835, 1125, 602, 3765, 7666, 3660, 23381, 269, 898, 786, 2760, 5884, 856, 563, 763, 19692, 938, 2229, 543, 5238, 1521, 782, 1004, 8449, 267, 519, 19692, 2043, 786, 3247, 7487, 1004, 540, 513, 1114, 5198, 607, 10779, 2456, 543, 834, 1278, 338, 21968, 519, 19692, 17051, 543, 5824, 657, 4465, 1405, 581, 12219, 676, 519, 1967, 540, 513, 15180, 1249, 542, 267, 855, 2295, 2989, 676, 519, 1967, 540, 741, 8284, 4892, 282, 543, 519, 19692, 10168, 786, 6368, 1439, 910, 513, 3804, 602, 4667, 1134, 4502, 8165, 585, 267, 1498, 621, 949, 581, 513, 1279, 267, 2182, 1793, 690, 563, 3519, 528, 17054, 619, 323, 21807, 21314, 634, 6129, 781, 5816, 593, 11776, 2152, 269, 634, 5816, 267, 2966, 547, 1683, 513, 8468, 585, 8369, 543, 1344, 593, 11776, 267, 568, 693, 8940, 269, 2041, 3219, 321, 7451, 24108, 2593, 269, 0, 763, 1085, 28320, 621, 577, 267, 610, 16420, 267, 799, 568, 519, 1034, 10213, 540, 519, 1085, 28320, 2589, 267, 568, 1419, 4049, 543, 568, 2356, 8338, 693, 3781, 543, 1247, 28876, 269, 6250, 1043, 1085, 28320, 2589, 1331, 513, 16420, 543, 27894, 1063, 519, 11263, 267, 3330, 519, 21389, 1235, 267, 1714, 28647, 267, 610, 19704, 269, 4033, 1085, 28320, 2589, 1397, 538, 519, 2960, 1212, 1162, 540, 519, 12765, 4169, 543, 9240, 514, 267, 1472, 519, 14255, 767, 543, 562, 31454, 630, 18034, 538, 2021, 1040, 2480, 28320, 2589, 786, 849, 8915, 593, 519, 3952, 267, 543, 593, 5007, 19058, 807, 607, 2938, 538, 519, 1085, 28320, 5961, 593, 713, 3135, 563, 3080, 540, 519, 1085, 28320, 2589, 568, 27894, 538, 519, 2960, 267, 891, 27894, 2270, 20097, 585, 554, 10248, 543, 3395, 21746, 269, 1358, 666, 1831, 28332, 267, 12933, 344, 267, 543, 2182, 267, 543, 666, 6414, 585, 4374, 1310, 2126, 269, 634, 3276, 4900, 949, 2408, 607, 2110, 267, 1990, 580, 345, 698, 267, 12457, 880, 3515, 896, 519, 2960, 269, 2480, 28320, 568, 513, 2199, 3968, 609, 1100, 1634, 11528, 8374, 269, 634, 21422, 543, 16420, 630, 2675, 28320, 2589, 264, 786, 14556, 1518, 543, 3262, 1510, 2126, 269, 2480, 337, 10248, 519, 16420, 1858, 1419, 7472, 6281, 9190, 3968, 267, 10669, 23752, 15087, 267, 543, 18015, 538, 519, 2960, 630, 2675, 28320, 2589, 1916, 9928, 28320, 568, 606, 3968, 540, 519, 2960, 3361, 676, 21746, 543, 8915, 3294, 609, 1085, 28320, 2589, 950, 891, 21746, 2007, 9944, 519, 2627, 540, 519, 2960, 543, 2482, 741, 5798, 267, 4929, 519, 16420, 269, 4475, 267, 707, 2960, 7959, 1360, 28349, 543, 596, 723, 2699, 27894, 543, 28338, 593, 519, 2960, 267, 930, 540, 519, 1034, 1455, 1085, 28320, 2589, 269, 901, 2068, 568, 1360, 1455, 267, 2523, 538, 4025, 799, 616, 1031, 676, 1082, 1004, 267, 899, 10506, 543, 8808, 5321, 563, 2414, 1205, 1085, 28320, 596, 1590, 723, 3346, 609, 2576, 609, 1085, 28320, 269, 16684, 3346, 609, 606, 7783, 1268, 568, 711, 6190, 547, 3346, 1085, 28320, 267, 855, 952, 596, 2661, 538, 519, 1482, 2777, 609, 2576, 945, 814, 513, 1085, 28320, 16420, 267, 610, 723, 3023, 609, 713, 1268, 267, 543, 972, 568, 7298, 1085, 28320, 2589, 267, 596, 666, 4579, 1085, 28320, 269, 25124, 568, 849, 2009, 676, 3346, 609, 7783, 7802, 267, 28945, 610, 28734, 269, 634, 1085, 28320, 544, 924, 3112, 2661, 811, 982, 513, 1906, 2395, 1510, 513, 3984, 563, 2414, 4579, 1085, 28320, 267, 596, 991, 547, 723, 2097, 538, 3346, 609, 606, 7783, 1268, 269, 25175, 666, 1831, 7783, 267, 7488, 540, 741, 4567, 610, 6803, 5169, 269, 1717, 267, 621, 568, 1454, 811, 1455, 538, 1004, 2713, 538, 513, 1455, 2777, 267, 899, 513, 12062, 267, 610, 945, 723, 2834, 3346, 609, 1453, 543, 9002, 563, 9928, 28320, 2589, 267, 610, 519, 1085, 28320, 16420, 267, 786, 2356, 1831, 18476, 1369, 2185, 4374, 267, 3006, 18334, 267, 3006, 3476, 267, 4470, 593, 519, 1268, 269, 1403, 596, 1185, 1085, 28320, 1354, 267, 519, 1085, 28320, 2589, 949, 2408, 5488, 982, 1079, 2395, 269, 634, 1034, 1455, 1085, 28320, 2589, 616, 21422, 267, 2523, 693, 3781, 267, 543, 2408, 607, 513, 16420, 540, 2699, 27894, 269, 630, 8450, 2480, 28320, 24436, 994, 21675, 540, 707, 2480, 28320, 12580, 454, 763, 2126, 540, 707, 1085, 28320, 2589, 568, 1360, 2653, 609, 519, 1318, 948, 689, 707, 4387, 269, 1403, 596, 798, 711, 1521, 519, 1085, 28320, 2589, 267, 519, 16420, 949, 3136, 585, 3275, 269, 2480, 28320, 16420, 2126, 5161, 5631, 609, 519, 3498, 540, 513, 8645, 610, 2603, 542, 547, 519, 4299, 2127, 540, 519, 3968, 267, 610, 519, 16420, 269, 769, 7311, 713, 8645, 621, 568, 2556, 547, 4019, 621, 689, 519, 8405, 1524, 267, 9878, 3007, 547, 16420, 2127, 269, 4746, 267, 2628, 2027, 3007, 547, 519, 19704, 267, 1714, 28647, 543, 21389, 1235, 267, 585, 1346, 2694, 540, 519, 1560, 616, 519, 1034, 1455, 2127, 4299, 676, 519, 1085, 28320, 267, 610, 707, 1085, 28320, 2589, 786, 6414, 563, 28536, 2670, 540, 1085, 28320, 2589, 454, 28536, 2670, 540, 1085, 28320, 2589, 568, 1500, 676, 513, 2168, 6514, 269, 2480, 28320, 2589, 267, 610, 15087, 666, 581, 16150, 539, 547, 3489, 513, 3732, 540, 5160, 267, 799, 568, 6404, 609, 11379, 28355, 630, 298, 15121, 264, 543, 8947, 896, 513, 17209, 585, 5798, 267, 28797, 267, 543, 21746, 269, 901, 1449, 25495, 519, 5868, 543, 3652, 856, 824, 2960, 3676, 602, 2014, 21422, 543, 666, 6166, 1085, 28320, 2589, 269, 0, 347, 25748, 593, 4569, 307, 516, 330, 281, 2008, 288, 623, 10154, 5080, 21215, 454, 14503, 6235, 513, 11777, 538, 519, 2011, 267, 20414, 621, 267, 1287, 8159, 2436, 621, 814, 2097, 909, 9843, 610, 21217, 568, 547, 1082, 1004, 513, 1486, 12111, 673, 4351, 1184, 269, 769, 930, 2631, 267, 2705, 267, 11777, 19184, 532, 3884, 1405, 2731, 4351, 693, 782, 269, 589, 7344, 31942, 666, 16212, 513, 5265, 17479, 11777, 865, 602, 519, 11777, 2141, 3338, 6029, 519, 1482, 3068, 563, 763, 12117, 540, 971, 513, 3926, 5673, 593, 519, 1249, 602, 513, 19184, 539, 11777, 1073, 324, 903, 13053, 781, 4031, 540, 5163, 269, 634, 20949, 2016, 547, 519, 11777, 543, 519, 3845, 14612, 6430, 519, 1267, 540, 1142, 16212, 269, 2776, 322, 1047, 569, 9013, 519, 20949, 1131, 5512, 596, 547, 3589, 875, 519, 11777, 1131, 2887, 269, 7102, 4351, 1145, 1131, 9114, 711, 538, 519, 1166, 6235, 3294, 855, 538, 519, 8856, 609, 799, 519, 4358, 2175, 941, 1634, 563, 1103, 519, 6323, 540, 11777, 1166, 6235, 267, 519, 1034, 1271, 6724, 616, 519, 11777, 781, 16057, 6991, 543, 922, 2557, 540, 8095, 269, 1879, 519, 8095, 2557, 568, 1970, 267, 519, 11777, 6411, 899, 513, 19184, 539, 16741, 269, 898, 781, 12691, 547, 2490, 936, 811, 982, 513, 1906, 2053, 267, 1256, 952, 922, 16057, 6991, 568, 1360, 1390, 543, 621, 12599, 513, 1279, 3845, 269, 589, 11777, 949, 2097, 1524, 1510, 1166, 6235, 952, 621, 3085, 1405, 979, 1164, 2614, 269, 1703, 3274, 1223, 581, 1932, 2370, 942, 585, 519, 11777, 547, 2490, 936, 563, 3528, 12719, 875, 1419, 513, 11777, 7140, 936, 585, 513, 1978, 8095, 543, 16057, 6991, 267, 596, 666, 3589, 2436, 621, 786, 2097, 909, 9843, 610, 21217, 269, 589, 3113, 28367, 547, 1397, 519, 4093, 540, 1585, 8095, 543, 6991, 10659, 8761, 602, 585, 30809, 543, 29702, 3335, 11402, 538, 11777, 19184, 525, 267, 6263, 2242, 538, 3355, 2175, 1118, 519, 3017, 1063, 9843, 543, 21217, 563, 3963, 267, 1287, 267, 568, 519, 6364, 540, 513, 11777, 19184, 2808, 547, 581, 4351, 267, 1256, 1498, 621, 568, 19918, 5462, 676, 519, 4031, 540, 6323, 543, 519, 3355, 2175, 888, 297, 4141, 918, 11839, 540, 18628, 2160, 814, 3254, 602, 585, 1804, 2418, 540, 519, 3355, 6991, 267, 519, 5036, 540, 3355, 6991, 2418, 602, 1291, 2901, 547, 9843, 610, 547, 21217, 616, 540, 3160, 2450, 585, 513, 4023, 267, 610, 28102, 267, 11777, 269, 4935, 267, 3368, 540, 519, 3355, 2175, 1291, 547, 9843, 543, 3368, 547, 21217, 563, 1103, 2489, 267, 519, 2450, 540, 602, 6824, 568, 5462, 676, 519, 11707, 540, 519, 3926, 4534, 2436, 621, 568, 513, 11777, 267, 513, 13193, 30592, 8868, 267, 610, 513, 5884, 267, 543, 519, 5506, 540, 513, 2016, 6364, 568, 4830, 540, 519, 5506, 3892, 540, 519, 3355, 2175, 563, 16987, 14939, 1239, 2303, 602, 513, 1134, 2389, 1601, 539, 4023, 11777, 568, 513, 25685, 4351, 6500, 585, 8236, 606, 3160, 3666, 1063, 1079, 2009, 4093, 269, 1717, 267, 713, 9698, 540, 6364, 3085, 1405, 8209, 4019, 547, 513, 11777, 602, 20061, 2059, 519, 2666, 610, 2066, 513, 3349, 1310, 513, 19184, 269, 1323, 19514, 3892, 540, 2527, 1063, 519, 1079, 5011, 540, 513, 11777, 543, 519, 2470, 540, 922, 6316, 666, 5594, 9186, 519, 6364, 547, 3870, 267, 2161, 267, 9843, 936, 21217, 563, 763, 772, 2529, 269, 29784, 4534, 609, 14062, 12493, 781, 2212, 593, 835, 2427, 543, 519, 12493, 17341, 593, 519, 824, 4534, 2488, 513, 11495, 1383, 540, 971, 513, 9186, 269, 5776, 513, 18797, 610, 865, 30779, 625, 593, 6316, 593, 519, 2627, 540, 513, 3349, 269, 3973, 29907, 519, 3349, 865, 602, 519, 30779, 625, 547, 653, 548, 936, 269, 1411, 3513, 1265, 602, 5176, 2141, 811, 9843, 982, 21217, 616, 3068, 909, 269, 6884, 782, 519, 11113, 1439, 909, 9843, 269, 2201, 519, 824, 1688, 267, 18343, 30779, 625, 4043, 547, 2244, 609, 21217, 909, 811, 1419, 982, 9843, 2336, 22746, 6397, 2164, 2097, 607, 513, 9983, 547, 1034, 1004, 267, 945, 10355, 2015, 519, 7872, 602, 519, 11113, 789, 946, 547, 1404, 3756, 610, 7017, 513, 3099, 540, 2152, 949, 581, 21678, 269, 1677, 2327, 606, 12581, 1267, 267, 621, 781, 4440, 8797, 547, 6952, 513, 29784, 1354, 621, 3338, 593, 930, 2627, 543, 20061, 267, 30809, 267, 610, 536, 25555, 547, 513, 3247, 563, 296, 6415, 711, 2386, 2436, 11113, 824, 982, 519, 772, 2529, 269, 12493, 29784, 1397, 513, 2147, 9186, 269, 594, 4312, 4862, 267, 585, 1383, 267, 602, 8225, 11113, 616, 20511, 539, 609, 6272, 602, 616, 9277, 547, 3132, 14961, 7059, 11113, 269, 898, 1131, 581, 4277, 547, 4603, 609, 1585, 11113, 547, 1294, 952, 621, 781, 2009, 547, 3713, 513, 9186, 563, 6826, 553, 2917, 267, 808, 6185, 269, 476, 1960, 271, 269, 634, 9119, 540, 10632, 269, 10228, 267, 4789, 281, 10228, 2160, 4964, 563, 291, 32713, 267, 623, 269, 476, 1960, 278, 269, 15608, 918, 11839, 281, 9315, 3756, 543, 14797, 267, 3631, 543, 6436, 269, 16038, 4456, 5240, 476, 1789, 263, 20103, 2567, 275, 563, 18250, 298, 6756, 267, 918, 269, 476, 2735, 278, 269, 634, 1931, 569, 13287, 540, 6986, 4524, 269, 13028, 630, 20464, 2567, 7761, 563, 30821, 3205, 267, 594, 269, 476, 1960, 278, 269, 634, 28044, 956, 540, 15932, 1145, 281, 589, 19556, 6380, 926, 269, 1715, 3840, 281, 25067, 563, 30668, 269, 476, 1960, 271, 269, 11866, 540, 18266, 281, 589, 19556, 25491, 14265, 1047, 269, 1715, 3840, 281, 654, 13034, 269, 6154, 17507, 563, 309, 592, 990, 545, 267, 966, 269, 313, 1421, 543, 681, 9950, 269, 2398, 1052, 269, 476, 2735, 277, 269, 15932, 1145, 540, 513, 3020, 11777, 19184, 269, 8447, 5623, 589, 476, 3451, 263, 20464, 2567, 6872, 277, 563, 8340, 856, 827, 519, 834, 15124, 4139, 24282, 625, 570, 1601, 257, 693, 5291, 2517, 4178, 3052, 3333, 3820, 11320, 576, 9706, 10154, 14835, 21867, 563, 4467, 906, 616, 10950, 269, 7490, 6494, 6835, 547, 594, 341, 1513, 8891, 3205, 693, 18078, 17106, 11333, 3820, 563, 296, 341, 1513, 8891, 3205, 568, 519, 6128, 543, 6323, 5856, 543, 593, 11060, 9375, 693, 3163, 5240, 269, 1261, 568, 519, 2278, 540, 634, 19556, 12875, 626, 267, 11866, 540, 18266, 267, 1715, 27971, 1849, 1442, 267, 674, 7614, 4347, 624, 267, 543, 2608, 763, 28044, 956, 540, 15932, 1145, 281, 589, 19556, 6380, 926, 269, 3571, 1699, 1568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2168, 2175, 1373, 5693, 1360, 1114, 269, 744, 3122, 321, 13702, 729, 3976, 538, 606, 4998, 2990, 547, 19586, 519, 13655, 540, 519, 14605, 6956, 17985, 28213, 269, 6270, 1382, 13856, 519, 1964, 540, 1010, 4876, 267, 543, 646, 5206, 513, 5929, 1837, 593, 519, 1641, 267, 8330, 5268, 12695, 540, 717, 29917, 3026, 12712, 2801, 543, 15765, 8895, 12519, 715, 16197, 328, 267, 1631, 538, 922, 3791, 7160, 563, 1103, 476, 3192, 274, 267, 744, 3122, 321, 13702, 2968, 8689, 540, 519, 700, 1157, 25076, 267, 2212, 32483, 1229, 593, 519, 2160, 540, 4993, 781, 13244, 30434, 13464, 269, 2290, 16007, 4371, 676, 519, 2616, 2218, 729, 513, 476, 274, 31475, 516, 268, 1653, 339, 675, 16263, 19034, 609, 513, 3810, 4359, 5907, 4715, 5766, 1429, 602, 729, 23679, 14018, 585, 744, 3122, 321, 13702, 781, 17985, 301, 1382, 269, 4438, 713, 942, 267, 19443, 676, 513, 5569, 540, 5140, 1053, 267, 646, 14320, 9450, 519, 8760, 10325, 585, 1114, 2010, 540, 17985, 301, 267, 543, 849, 20406, 4824, 2168, 543, 22762, 3740, 3631, 540, 741, 2497, 563, 7212, 744, 3122, 321, 13702, 5402, 11603, 827, 3368, 540, 1010, 942, 585, 1382, 267, 646, 3576, 1010, 1463, 3645, 9021, 1360, 12517, 269, 4438, 1010, 26022, 267, 519, 700, 1157, 25076, 4682, 998, 513, 5123, 540, 4028, 8441, 538, 31627, 267, 28285, 538, 519, 1788, 547, 1628, 513, 476, 1015, 31475, 516, 268, 1653, 339, 675, 16263, 593, 513, 1412, 323, 1046, 262, 3135, 20991, 2476, 689, 1480, 1769, 5533, 269, 5565, 12721, 6272, 7153, 267, 835, 609, 513, 3119, 11604, 1500, 540, 513, 2582, 267, 6094, 2367, 29234, 540, 4837, 267, 543, 519, 824, 609, 513, 3119, 11604, 1500, 909, 540, 513, 24463, 540, 12415, 269, 634, 2367, 29234, 11604, 1131, 723, 1044, 9425, 3551, 547, 3132, 267, 6466, 519, 24463, 11604, 729, 811, 4101, 267, 855, 26693, 1447, 269, 3962, 1935, 1185, 2178, 18793, 267, 543, 744, 3122, 321, 13702, 1236, 559, 2685, 3366, 519, 1184, 602, 8452, 693, 513, 3903, 281, 513, 5302, 7757, 2173, 597, 2928, 16263, 269, 634, 1267, 729, 519, 4070, 540, 519, 1079, 3223, 1188, 24985, 593, 8575, 10044, 3223, 320, 267, 16127, 267, 519, 4102, 9804, 270, 8882, 14518, 24985, 27057, 2139, 563, 302, 3122, 321, 13702, 5433, 13943, 609, 519, 11889, 7569, 540, 3056, 519, 700, 1157, 25076, 950, 513, 2101, 1007, 2616, 2218, 729, 1373, 3710, 267, 543, 646, 22283, 1524, 607, 8689, 538, 476, 2735, 272, 547, 2132, 547, 2407, 6066, 3450, 543, 1382, 269, 769, 1010, 2663, 1296, 267, 543, 2523, 1739, 1010, 16468, 538, 476, 1960, 272, 267, 646, 1500, 513, 2034, 2012, 585, 5128, 607, 513, 14787, 540, 17651, 267, 1603, 1896, 3810, 9833, 22808, 543, 12583, 540, 519, 700, 1157, 543, 962, 518, 7719, 2616, 14898, 269, 769, 476, 1220, 275, 267, 513, 1614, 6377, 1623, 24007, 538, 22632, 540, 744, 3122, 321, 13702, 781, 5216, 328, 996, 14512, 13631, 19936, 543, 12206, 540, 519, 1641, 689, 2484, 7192, 1752, 547, 13244, 30434, 267, 1082, 540, 873, 5449, 1053, 543, 9164, 269, 5213, 744, 3122, 321, 13702, 729, 519, 1034, 1914, 762, 540, 3744, 267, 543, 519, 19347, 5717, 693, 519, 11018, 781, 6995, 9397, 543, 561, 31708, 267, 609, 1864, 693, 519, 8998, 543, 4749, 5309, 9822, 730, 609, 17409, 267, 786, 581, 15422, 676, 519, 29099, 1804, 1297, 540, 2673, 2828, 646, 1185, 6591, 2429, 519, 1158, 269, 0, 11357, 339, 3555, 609, 1036, 29470, 1210, 3490, 4557, 7161, 4976, 3211, 585, 782, 4647, 543, 2671, 1863, 593, 1747, 1871, 563, 19668, 3211, 4557, 2979, 1036, 29470, 1747, 1871, 7161, 563, 2897, 1871, 1036, 29470, 676, 7317, 1565, 609, 4413, 12408, 1210, 7161, 3211, 563, 2897, 1871, 4976, 3180, 3446, 2979, 3211, 1036, 29470, 7161, 563, 330, 1749, 3446, 1187, 2979, 3211, 1863, 5399, 4647, 2034, 2724, 3232, 12408, 5420, 2450, 1747, 1871, 1036, 29470, 563, 273, 7857, 12408, 609, 1036, 29470, 3211, 1747, 1871, 7161, 4640, 563, 2897, 1871, 7161, 609, 476, 274, 7857, 1297, 1279, 6498, 3490, 4557, 824, 2450, 521, 12408, 1036, 29470, 1210, 3211, 563, 716, 8481, 1747, 1871, 7792, 2979, 3211, 7366, 9937, 3283, 476, 277, 1153, 13004, 543, 1036, 563, 16149, 3446, 1747, 1871, 3211, 1840, 1036, 29470, 1210, 3490, 824, 2450, 521, 563, 330, 1749, 1863, 12408, 3211, 7857, 2979, 513, 1820, 8083, 585, 3446, 1747, 1871, 5420, 2450, 609, 1036, 29470, 1210, 7161, 563, 2897, 1871, 1297, 3211, 11299, 1554, 6486, 4025, 543, 1036, 29470, 563, 10339, 663, 539, 1106, 3211, 476, 273, 7857, 3450, 2200, 3610, 2628, 1840, 2994, 4320, 12408, 609, 1036, 29470, 1210, 1747, 1871, 7161, 563, 11357, 339, 3555, 3211, 609, 1036, 29470, 3791, 3446, 2259, 2979, 2790, 1863, 4295, 1840, 543, 2262, 2042, 13004, 1747, 1871, 960, 563, 611, 1288, 1510, 1036, 29470, 3211, 4976, 1100, 12408, 609, 1210, 1747, 1871, 7161, 563, 14079, 2979, 3490, 4557, 7161, 9450, 1106, 3211, 585, 12408, 609, 1036, 29470, 1210, 1747, 1871, 269, 0, 10666, 519, 570, 291, 7246, 2029, 912, 31813, 7246, 1796, 585, 630, 11742, 10406, 13038, 454, 16966, 3738, 529, 849, 3059, 12616, 7658, 21620, 6771, 4480, 269, 570, 291, 7246, 454, 718, 665, 919, 1142, 3593, 513, 1114, 942, 18921, 593, 513, 2016, 4908, 269, 570, 291, 7246, 17337, 454, 26421, 10408, 8756, 883, 1614, 942, 27061, 538, 1931, 547, 2333, 519, 2179, 540, 454, 11907, 602, 666, 581, 5645, 563, 31813, 7246, 2029, 729, 811, 2442, 538, 2342, 267, 3567, 543, 7489, 2477, 267, 1141, 607, 7131, 7246, 568, 4922, 1031, 538, 3345, 543, 3162, 3013, 269, 1809, 1631, 513, 2395, 1312, 10509, 3098, 616, 1360, 2442, 998, 339, 719, 538, 519, 1158, 563, 26794, 540, 570, 291, 7246, 912, 31813, 7246, 666, 3362, 3082, 547, 6771, 540, 1239, 607, 1134, 607, 5639, 2792, 563, 31813, 7246, 814, 606, 2702, 547, 4163, 476, 5038, 737, 321, 1186, 547, 476, 6344, 25253, 1186, 540, 1239, 3928, 563, 31813, 7246, 2636, 519, 11346, 547, 798, 2533, 899, 535, 1314, 267, 5639, 6512, 1239, 267, 543, 590, 5960, 607, 1134, 607, 19961, 25673, 3498, 971, 607, 19180, 543, 2756, 27019, 325, 17182, 563, 7712, 570, 291, 7246, 2029, 24508, 3755, 2687, 547, 942, 267, 621, 5849, 602, 972, 786, 581, 1100, 13779, 689, 21800, 18993, 3827, 563, 31813, 7246, 2488, 3755, 609, 606, 6905, 6007, 1272, 267, 2094, 621, 18993, 1080, 1152, 6712, 540, 519, 942, 1282, 7391, 563, 31813, 7246, 568, 519, 1034, 1942, 2500, 2029, 547, 6460, 606, 12746, 1062, 547, 3059, 563, 11514, 23955, 540, 570, 291, 7246, 912, 6748, 570, 291, 7246, 2029, 568, 602, 519, 3755, 814, 513, 30966, 942, 18921, 563, 2691, 3001, 689, 835, 1591, 3135, 547, 824, 267, 952, 782, 519, 942, 27061, 538, 713, 1591, 616, 2407, 519, 3593, 1522, 581, 30890, 563, 5194, 1966, 538, 570, 291, 7246, 568, 602, 621, 568, 16271, 547, 6687, 987, 23673, 563, 2414, 7753, 713, 23673, 267, 513, 942, 3970, 666, 581, 1031, 593, 519, 1062, 269, 4495, 519, 942, 3970, 568, 1163, 1600, 519, 5365, 568, 16053, 563, 10666, 519, 674, 291, 7246, 2029, 912, 763, 5365, 2789, 343, 532, 2029, 1031, 454, 514, 519, 11628, 16353, 25439, 6796, 630, 4456, 4916, 264, 12746, 4528, 540, 10408, 454, 7483, 2029, 269, 22039, 10406, 13038, 7457, 630, 293, 291, 7246, 264, 568, 835, 540, 454, 22764, 2409, 1031, 585, 782, 20814, 9055, 547, 3755, 936, 519, 3838, 12616, 454, 20664, 5420, 538, 10408, 6049, 2792, 282, 519, 1866, 616, 5384, 454, 19667, 1707, 13038, 7457, 630, 31813, 7246, 264, 543, 8943, 10406, 13038, 7457, 630, 7374, 7246, 1916, 293, 291, 7246, 568, 8045, 693, 519, 2923, 1569, 1852, 630, 300, 3722, 264, 4494, 540, 519, 1239, 2000, 1074, 4494, 538, 519, 7046, 7010, 3955, 28947, 630, 5308, 296, 264, 4704, 2203, 585, 13033, 7014, 588, 2931, 269, 674, 291, 7246, 568, 1759, 593, 519, 4908, 1673, 643, 1707, 2789, 343, 532, 630, 293, 19699, 264, 4480, 1031, 538, 12616, 13033, 269, 769, 674, 291, 7246, 267, 519, 3593, 568, 8655, 513, 1808, 4908, 6512, 538, 519, 13590, 8552, 267, 543, 1282, 513, 1289, 602, 3593, 568, 519, 1152, 835, 945, 814, 519, 1318, 547, 1569, 519, 1808, 6512, 269, 769, 519, 7537, 4916, 10408, 6049, 1062, 267, 891, 4908, 13164, 616, 21248, 689, 519, 13590, 8552, 607, 5205, 912, 320, 264, 9558, 3939, 676, 5985, 6728, 912, 279, 2190, 631, 13703, 547, 476, 279, 5392, 631, 13703, 454, 321, 264, 9558, 3939, 676, 3490, 6728, 912, 279, 7597, 631, 13703, 547, 476, 8660, 275, 631, 13703, 454, 293, 291, 7246, 5565, 1114, 4908, 13164, 616, 1031, 547, 1450, 2407, 268, 706, 14658, 2792, 1063, 3490, 543, 5985, 10473, 269, 5637, 540, 891, 13164, 616, 1287, 5258, 883, 15768, 9055, 602, 616, 476, 1789, 737, 13703, 2647, 538, 19961, 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 ]
[ 5620, 543, 5620, 3502, 630, 4350, 278, 264, 968, 514, 1169, 2823, 538, 519, 1158, 267, 693, 2547, 1079, 6480, 517, 2103, 666, 581, 1336, 3034, 2252, 596, 616, 26731, 689, 2818, 540, 713, 29563, 540, 476, 866, 628, 543, 2038, 476, 736, 628, 2540, 32164, 7847, 267, 596, 949, 723, 9289, 827, 707, 6480, 20897, 11937, 269, 634, 6480, 20897, 2817, 19964, 630, 305, 1695, 341, 639, 541, 6062, 643, 264, 814, 8748, 2200, 593, 11060, 269, 10812, 543, 1294, 1018, 596, 666, 1265, 910, 649, 917, 875, 1454, 12257, 621, 666, 581, 3695, 707, 1378, 1920, 1686, 563, 4913, 267, 15388, 6480, 20897, 5444, 30688, 3340, 711, 1152, 5444, 11530, 673, 6791, 855, 849, 1893, 1983, 2094, 267, 711, 19599, 267, 519, 5638, 616, 5631, 538, 6480, 20897, 267, 6739, 610, 4436, 563, 2252, 707, 1920, 779, 6480, 20897, 543, 6739, 1893, 1702, 814, 1831, 513, 2370, 15309, 344, 936, 519, 5481, 267, 8349, 666, 1683, 606, 3355, 593, 11060, 1382, 3028, 585, 1346, 5461, 538, 741, 6480, 20897, 5072, 269, 2701, 5249, 543, 5030, 538, 30460, 4883, 585, 2185, 1296, 543, 6707, 6192, 6480, 20897, 521, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 2342, 1315, 27397, 2276, 1315, 700, 643, 20897, 2782, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 476, 275, 269, 272, 29042, 31157, 692, 9824, 16406, 5389, 616, 1419, 2404, 609, 741, 10723, 5931, 1107, 26060, 1568, 602, 4196, 607, 22265, 2959, 540, 14985, 267, 13919, 267, 17035, 267, 543, 2146, 3961, 269, 1452, 5931, 666, 1491, 1082, 3029, 267, 1519, 2854, 30920, 267, 5711, 6386, 267, 12835, 2762, 267, 543, 1256, 2067, 9259, 971, 607, 8916, 610, 18477, 4703, 269, 769, 713, 3296, 267, 649, 786, 2263, 519, 2470, 267, 1599, 267, 543, 7664, 540, 10723, 5931, 1369, 1585, 3909, 5389, 269, 1284, 786, 4983, 875, 891, 5931, 3337, 5837, 7744, 543, 5683, 3375, 1818, 267, 607, 1134, 607, 519, 2591, 3238, 538, 16208, 873, 2066, 2686, 543, 3140, 8658, 780, 288, 269, 7186, 540, 29042, 31157, 692, 306, 659, 1042, 5931, 616, 2808, 1305, 6306, 689, 8723, 3332, 1813, 547, 741, 10143, 5169, 610, 6667, 269, 1358, 616, 5156, 547, 2270, 11240, 725, 689, 24587, 267, 11937, 267, 610, 824, 16750, 7919, 267, 543, 3976, 3180, 2027, 6392, 543, 4644, 585, 21071, 269, 2755, 1142, 2245, 814, 922, 1378, 2189, 1935, 547, 17374, 1436, 630, 1492, 1184, 676, 799, 1978, 12591, 1831, 6444, 607, 8076, 1070, 972, 616, 1455, 2934, 1851, 10723, 5931, 602, 16637, 1880, 4529, 543, 942, 5712, 269, 1452, 3838, 4162, 1331, 1384, 272, 269, 3690, 25728, 550, 18266, 28787, 338, 281, 29042, 5931, 3335, 7682, 8471, 5168, 6811, 827, 4641, 267, 8103, 267, 543, 519, 23942, 269, 1358, 2709, 4030, 883, 2055, 7282, 10700, 2495, 267, 3483, 267, 543, 1871, 267, 3246, 5583, 585, 2043, 5275, 547, 2661, 1318, 324, 3585, 2687, 547, 741, 9757, 5132, 5389, 780, 273, 269, 13507, 545, 5678, 281, 9603, 547, 741, 16637, 550, 1641, 2339, 267, 10723, 5931, 4749, 2308, 13513, 267, 14165, 267, 1612, 1963, 267, 14336, 800, 267, 543, 824, 27461, 1893, 547, 6655, 1950, 2093, 543, 2833, 269, 901, 5339, 2511, 3340, 6297, 20559, 618, 543, 7664, 547, 4628, 9787, 519, 5497, 6835, 780, 274, 269, 8466, 12745, 281, 4107, 10723, 5931, 10836, 689, 1808, 3140, 6381, 267, 10452, 519, 1514, 267, 2797, 267, 2804, 267, 543, 2686, 2175, 540, 519, 2053, 538, 799, 789, 941, 7768, 269, 4197, 519, 3312, 2796, 568, 2629, 585, 8308, 16208, 543, 7311, 519, 10752, 8659, 1369, 891, 5931, 780, 289, 269, 12793, 540, 29042, 31157, 692, 763, 3252, 540, 10723, 5931, 4268, 2066, 1114, 3909, 5389, 282, 2705, 267, 1896, 1455, 5107, 666, 581, 4857, 1384, 272, 269, 1684, 551, 9068, 543, 27801, 281, 29042, 5931, 1683, 13654, 3741, 543, 28975, 602, 5581, 513, 4984, 781, 4295, 4978, 267, 2418, 267, 543, 2853, 269, 1635, 4974, 543, 4835, 1944, 891, 10752, 267, 13794, 15052, 741, 1620, 540, 741, 5132, 543, 11349, 513, 6793, 2078, 609, 519, 23942, 780, 273, 269, 26874, 30334, 281, 3509, 10723, 5931, 2270, 8763, 5528, 3823, 1697, 2932, 267, 4075, 6681, 2623, 267, 543, 5683, 21140, 269, 1452, 10752, 948, 740, 6254, 338, 6330, 5837, 844, 663, 2456, 543, 11441, 2509, 2713, 32055, 2729, 5812, 609, 741, 5132, 19647, 780, 274, 269, 20154, 715, 4669, 675, 281, 3414, 2984, 540, 28556, 267, 25598, 267, 543, 12325, 267, 10723, 5931, 8300, 3988, 676, 20515, 16431, 540, 14039, 1214, 267, 8296, 267, 7326, 267, 543, 10100, 269, 3958, 267, 19001, 267, 1728, 332, 985, 267, 9954, 267, 543, 1199, 14591, 1336, 1369, 891, 5931, 7520, 1209, 542, 609, 519, 23942, 543, 3895, 2123, 2208, 543, 7004, 780, 275, 269, 7991, 14740, 281, 29042, 5931, 6536, 1895, 22122, 543, 17604, 676, 13994, 6819, 3838, 12583, 267, 12738, 267, 6698, 267, 543, 2418, 602, 10646, 835, 3909, 2146, 689, 1776, 269, 5589, 2787, 267, 1353, 267, 543, 8086, 2390, 891, 5931, 7794, 7104, 7554, 543, 12927, 18497, 8155, 780, 290, 269, 28604, 12694, 692, 8601, 741, 2956, 267, 10723, 5931, 1459, 3875, 4612, 633, 2591, 585, 5640, 543, 9439, 7567, 269, 2368, 1883, 2152, 1331, 1384, 272, 269, 5564, 643, 665, 1275, 281, 9717, 741, 6988, 543, 17381, 267, 10723, 5931, 1419, 22937, 2933, 547, 2789, 12496, 1759, 593, 8795, 5380, 267, 989, 31789, 267, 543, 1272, 3871, 269, 10318, 1456, 799, 13220, 616, 1034, 21705, 547, 519, 3312, 8247, 543, 2796, 666, 6961, 2352, 780, 273, 269, 8836, 20028, 281, 3683, 942, 267, 10409, 267, 3140, 267, 543, 2686, 3604, 1063, 4207, 9458, 543, 3504, 4589, 666, 1291, 547, 21390, 610, 31495, 13133, 725, 540, 10723, 5931, 269, 5516, 995, 7156, 1590, 581, 2016, 547, 16627, 267, 14391, 725, 267, 543, 6085, 2456, 547, 2327, 4977, 8223, 780, 274, 269, 4762, 997, 1154, 17546, 902, 281, 12769, 31531, 267, 10723, 5931, 2408, 547, 17591, 835, 1776, 267, 2901, 1369, 513, 2582, 960, 610, 2066, 1114, 5389, 269, 19484, 891, 7805, 29927, 7569, 2565, 3206, 1983, 267, 13857, 2079, 267, 543, 3006, 1256, 21548, 538, 14344, 10462, 780, 291, 269, 19750, 13335, 692, 2414, 1732, 1174, 519, 1909, 540, 10723, 5931, 538, 13354, 3909, 7881, 267, 2015, 9236, 25926, 689, 1079, 3982, 5389, 593, 513, 1455, 6249, 971, 607, 5126, 267, 23502, 267, 610, 19807, 269, 10670, 676, 7114, 1883, 15102, 602, 2232, 519, 6074, 3390, 267, 9878, 3007, 547, 1022, 4143, 2686, 267, 3140, 267, 610, 5339, 8658, 269, 8921, 267, 5659, 875, 1142, 1257, 11225, 519, 1523, 267, 14439, 1644, 2418, 267, 543, 1095, 32606, 3617, 3527, 610, 8456, 269, 7053, 267, 6218, 1761, 2127, 540, 19427, 543, 27754, 1063, 519, 1079, 5389, 267, 6236, 2188, 971, 607, 5304, 9029, 267, 17720, 2994, 267, 543, 5817, 10054, 827, 1480, 2470, 543, 519, 23942, 780, 3528, 2502, 538, 713, 3635, 267, 1053, 786, 1020, 3407, 1983, 538, 2673, 2542, 267, 3444, 14426, 6476, 267, 543, 2565, 3206, 1107, 1898, 3334, 585, 13215, 519, 9015, 540, 13354, 3909, 7881, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 21008, 894, 16241, 15979, 834, 5497, 585, 2852, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 634, 3017, 602, 519, 2262, 3909, 2306, 538, 3909, 7881, 2580, 834, 274, 269, 11933, 3749, 9382, 540, 3909, 7881, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 275, 269, 12983, 540, 9135, 538, 3909, 7881, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 275, 269, 272, 269, 29042, 5931, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 547, 1118, 1543, 6098, 693, 2852, 1053, 267, 945, 949, 723, 930, 13654, 1702, 855, 616, 711, 4966, 538, 519, 2361, 269, 634, 1570, 1058, 581, 2143, 543, 2219, 4538, 269, 0, 1975, 334, 1993, 22099, 267, 849, 1634, 607, 968, 4944, 334, 1993, 18537, 892, 610, 968, 325, 820, 18537, 2223, 616, 513, 1106, 540, 1612, 1328, 602, 13147, 923, 519, 2511, 543, 3898, 540, 5010, 10229, 269, 1452, 14973, 24299, 1093, 651, 1187, 693, 1455, 6725, 21050, 525, 267, 7082, 2528, 267, 543, 6848, 8155, 998, 608, 12000, 3130, 267, 20451, 267, 543, 18854, 269, 1635, 3695, 713, 1016, 951, 633, 1106, 540, 9644, 267, 649, 666, 1732, 1174, 922, 2686, 4644, 267, 7499, 1871, 267, 543, 1764, 593, 2486, 269, 901, 3184, 12538, 883, 519, 14960, 540, 24401, 1993, 18537, 607, 513, 23314, 540, 1612, 1328, 1369, 519, 6626, 2796, 540, 9644, 2090, 780, 296, 269, 20223, 1975, 334, 1993, 22339, 1047, 906, 692, 2414, 3715, 513, 4396, 5748, 585, 938, 2079, 267, 1577, 721, 2253, 676, 10747, 1883, 2474, 269, 589, 24401, 1993, 740, 568, 513, 3860, 960, 2966, 547, 708, 10028, 6671, 22099, 1247, 6220, 2609, 540, 24337, 543, 18792, 269, 9045, 790, 4016, 547, 519, 946, 540, 9644, 267, 20451, 267, 608, 12000, 3130, 267, 610, 7759, 545, 2544, 547, 16616, 543, 10404, 1125, 1004, 781, 23535, 7190, 610, 642, 1182, 267, 3226, 538, 519, 2796, 540, 4207, 6214, 543, 824, 22521, 2152, 269, 11531, 267, 18792, 568, 1022, 11407, 610, 960, 3622, 5497, 547, 581, 14973, 610, 993, 6748, 676, 1802, 1424, 17409, 267, 2523, 538, 14364, 267, 8613, 267, 4670, 267, 543, 1796, 5346, 18792, 780, 2862, 269, 8466, 12745, 540, 1975, 334, 1993, 22339, 1047, 906, 692, 9199, 1424, 519, 8129, 540, 24401, 1993, 18537, 8761, 741, 2620, 5072, 538, 1312, 10229, 543, 9913, 6080, 269, 7216, 8320, 540, 24401, 1993, 22099, 7902, 538, 1820, 2923, 1282, 519, 3735, 13524, 543, 2038, 14206, 5553, 950, 14786, 543, 17476, 3370, 14070, 18537, 607, 513, 1106, 540, 1514, 16555, 269, 1717, 267, 621, 7012, 1405, 2394, 519, 4417, 540, 5925, 543, 8613, 602, 24401, 1993, 18537, 6591, 7839, 8560, 1813, 547, 741, 10333, 543, 4390, 585, 2527, 3892, 780, 7656, 269, 3203, 2065, 10025, 543, 8836, 19043, 692, 8967, 334, 1993, 22099, 3180, 10373, 7499, 1871, 543, 2686, 4644, 1317, 789, 4196, 607, 2565, 18759, 540, 2486, 267, 20392, 5817, 1379, 3889, 267, 2686, 10054, 267, 543, 20748, 12886, 11251, 1369, 13416, 10229, 269, 5047, 267, 891, 1568, 3565, 547, 5571, 19929, 4478, 7082, 1143, 267, 3961, 5250, 267, 543, 1514, 5126, 269, 1358, 5512, 5159, 543, 9458, 7567, 547, 4497, 538, 6209, 5717, 827, 10296, 2152, 1247, 5807, 5876, 543, 5647, 780, 4353, 269, 6206, 15689, 540, 21988, 1975, 334, 1993, 589, 1091, 692, 306, 22066, 24401, 1993, 18537, 3335, 6451, 1896, 1898, 3334, 267, 1519, 1384, 288, 269, 6452, 23847, 1955, 2787, 910, 1677, 3927, 5968, 741, 5048, 267, 24401, 1993, 18537, 1590, 20310, 569, 21613, 519, 3308, 15312, 267, 10409, 6163, 267, 543, 7293, 12043, 4122, 1336, 538, 9758, 22099, 269, 901, 21705, 12093, 20964, 513, 15977, 23440, 2390, 799, 7766, 6106, 540, 9644, 543, 16472, 666, 581, 3710, 780, 289, 269, 9966, 528, 1107, 634, 3119, 3804, 540, 513, 24401, 1993, 740, 568, 547, 29360, 17409, 689, 922, 5304, 269, 15316, 2553, 267, 971, 607, 2262, 2452, 267, 2168, 18792, 267, 21494, 640, 267, 543, 1582, 31398, 13440, 566, 267, 949, 581, 6964, 547, 3035, 713, 1439, 269, 13229, 9644, 5713, 711, 1152, 547, 7038, 855, 849, 547, 771, 1301, 13588, 267, 1818 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 782, 818, 18003, 12545, 269, 20111, 12025, 281, 476, 2420, 269, 273, 263, 7825, 32589, 1704, 269, 273, 15301, 7825, 994, 268, 476, 272, 1535, 476, 275, 5295, 25824, 1807, 23996, 24544, 21602, 454, 25238, 574, 3290, 263, 7825, 10534, 2420, 269, 273, 1535, 476, 1704, 269, 273, 2008, 272, 269, 1215, 1281, 513, 476, 275, 1379, 13525, 6007, 7020, 9074, 1568, 888, 268, 4045, 519, 6007, 585, 5279, 4152, 547, 519, 5547, 1101, 269, 1879, 4448, 267, 513, 476, 272, 301, 5325, 274, 274, 288, 476, 276, 269, 272, 309, 267, 476, 272, 310, 2098, 10273, 26534, 568, 1031, 547, 10038, 519, 6453, 267, 2059, 609, 513, 3126, 19919, 681, 272, 547, 1852, 519, 1699, 2095, 998, 519, 1990, 10273, 269, 1306, 513, 1267, 267, 649, 5833, 513, 14931, 476, 276, 269, 272, 309, 3977, 6453, 689, 519, 6007, 269, 4045, 519, 6007, 585, 5279, 4152, 547, 519, 5547, 1101, 269, 1879, 4448, 267, 513, 476, 272, 301, 5325, 274, 274, 288, 476, 276, 269, 272, 309, 267, 476, 272, 310, 2098, 10273, 26534, 568, 1031, 547, 10038, 519, 6453, 267, 2059, 609, 513, 3126, 19919, 681, 272, 547, 1852, 519, 1699, 2095, 998, 519, 1990, 10273, 269, 1306, 513, 1267, 267, 649, 5833, 513, 14931, 476, 276, 269, 272, 309, 3977, 6453, 689, 519, 6007, 563, 273, 269, 1548, 616, 23996, 5279, 13525, 888, 268, 23996, 5279, 13525, 11387, 616, 5393, 3730, 13838, 585, 1818, 519, 1655, 946, 540, 26100, 334, 9075, 269, 1452, 2010, 540, 10832, 3335, 2268, 519, 6453, 538, 519, 6007, 543, 4159, 519, 5279, 4567, 676, 7432, 593, 1022, 3617, 27178, 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 ]
[ 14998, 5277, 547, 13451, 883, 519, 1647, 1274, 563, 10907, 15064, 3026, 23757, 320, 901, 568, 513, 1875, 4754, 1356, 748, 10510, 602, 20964, 593, 519, 1292, 8229, 3056, 689, 707, 4835, 1274, 547, 707, 2247, 563, 19617, 2730, 590, 16235, 630, 5960, 264, 31849, 540, 1004, 609, 519, 14715, 2068, 5219, 547, 607, 9049, 1995, 9825, 15282, 14501, 693, 930, 942, 563, 303, 1046, 8657, 779, 16448, 19576, 779, 666, 1860, 3350, 607, 1134, 607, 11466, 269, 4658, 609, 713, 2783, 949, 849, 1995, 9825, 15282, 563, 300, 580, 9627, 15677, 6168, 476, 2412, 2600, 540, 1004, 602, 723, 31264, 10123, 723, 2152, 609, 1769, 20243, 1145, 610, 3666, 693, 513, 1279, 942, 269, 630, 274, 264, 1703, 779, 849, 513, 2783, 1572, 968, 4034, 24212, 26043, 15677, 892, 610, 968, 332, 580, 9627, 23938, 9825, 15282, 1848, 563, 13312, 12185, 2152, 10705, 2042, 689, 15847, 2152, 666, 9594, 4396, 4328, 540, 519, 16209, 543, 849, 1454, 1447, 1973, 10009, 547, 519, 2634, 267, 799, 3123, 9825, 15282, 4191, 543, 2589, 563, 300, 24471, 654, 5622, 345, 1465, 607, 1134, 607, 9825, 15282, 1522, 2627, 1282, 6379, 607, 513, 1267, 540, 17441, 8665, 11941, 267, 1970, 1973, 4006, 1377, 5232, 267, 2566, 593, 1973, 8043, 15427, 676, 606, 2810, 19786, 267, 610, 519, 10867, 11173, 513, 1973, 6077, 602, 6770, 1973, 547, 519, 2295, 563, 2419, 328, 926, 5689, 4146, 901, 1966, 267, 1141, 2634, 2281, 11498, 1318, 883, 519, 1394, 12324, 267, 666, 2014, 2589, 540, 9825, 15282, 563, 306, 344, 27489, 901, 16770, 20675, 4784, 3968, 630, 306, 2316, 264, 666, 1291, 547, 6217, 2530, 543, 849, 1769, 20243, 1145, 563, 4692, 20539, 15282, 22067, 7982, 454, 2304, 343, 1190, 1145, 17148, 13262, 543, 4160, 543, 849, 11784, 6285, 1522, 1711, 1004, 547, 2731, 1745, 4191, 540, 9825, 15282, 269, 17520, 666, 10123, 14556, 1518, 519, 2783, 563, 31416, 700, 2794, 589, 26686, 538, 606, 4087, 540, 519, 2247, 1572, 519, 2634, 666, 1711, 9825, 15282, 4191, 563, 21080, 16242, 15448, 16242, 3604, 1063, 519, 4099, 1274, 19659, 616, 3335, 4810, 950, 10760, 610, 11362, 14015, 269, 901, 666, 9594, 513, 1966, 1572, 3124, 984, 541, 545, 9825, 15282, 563, 5472, 21544, 6547, 2368, 1004, 723, 530, 5622, 345, 1465, 610, 9825, 15282, 16716, 950, 789, 2461, 6534, 547, 1808, 23480, 267, 971, 607, 7452, 267, 9044, 543, 7646, 31974, 267, 2030, 3542, 839, 267, 546, 6387, 267, 610, 3536, 563, 8469, 1709, 667, 20063, 607, 1134, 607, 9825, 15282, 616, 1419, 2427, 2360, 540, 11955, 269, 14640, 5498, 714, 675, 5061, 267, 31520, 267, 6822, 2510, 267, 1973, 2604, 1199, 338, 267, 607, 1134, 607, 22471, 559, 9088, 616, 1455, 4636, 4777, 619, 563, 7775, 628, 739, 1738, 23738, 3290, 901, 2783, 6257, 6727, 530, 5622, 345, 1465, 950, 19249, 1560, 13307, 630, 324, 3052, 1421, 513, 6397, 6749, 538, 1973, 2604, 950, 2469, 689, 14084, 1524, 547, 7555, 1916, 23175, 543, 849, 3026, 1188, 20070, 3753, 2904, 17217, 20539, 15282, 563, 23175, 8194, 568, 711, 8966, 538, 519, 2136, 2276, 281, 1703, 941, 811, 982, 476, 13136, 267, 1822, 17173, 2247, 5945, 1700, 1644, 6413, 3074, 538, 476, 1001, 276, 563, 4322, 7063, 666, 2800, 519, 4835, 1274, 607, 1134, 607, 2014, 9825, 15282, 267, 799, 568, 3335, 5219, 547, 607, 968, 14006, 32034, 9825, 15282, 1848, 15706, 609, 2212, 7063, 945, 1995, 9825, 15282, 949, 723, 4191, 543, 2589, 899, 21994, 267, 31264, 267, 6947, 547, 11941, 267, 9636, 267, 11466, 2042, 267, 543, 849, 849, 5626, 18063, 269, 667, 20063, 1310, 513, 6677, 15664, 267, 610, 7646, 15265, 2247, 5945, 267, 568, 1634, 607, 968, 14006, 8410, 322, 1380, 633, 21994, 1848, 563, 290, 969, 673, 9825, 15282, 3217, 1747, 1310, 513, 3665, 8405, 5945, 269, 2755, 12665, 3858, 602, 713, 1966, 6818, 267, 972, 779, 4661, 936, 1175, 875, 4749, 621, 4523, 563, 2691, 6481, 28968, 2052, 3502, 13028, 519, 18882, 610, 17832, 3455, 585, 20539, 15282, 563, 15919, 267, 13500, 5749, 1406, 2111, 547, 3313, 513, 3877, 4199, 585, 9825, 15282, 4191, 543, 2589, 269, 1280, 3236, 267, 972, 779, 4122, 1100, 6444, 9594, 585, 22680, 11901, 563, 4407, 711, 6616, 4010, 1018, 779, 24254, 707, 9825, 15282, 4191, 543, 2589, 666, 581, 8886, 908, 267, 621, 3085, 1406, 2303, 602, 596, 666, 1406, 3489, 1697, 3797, 543, 1416, 585, 519, 2404, 4191, 543, 2589, 269, 2659, 4387, 786, 6157, 5351, 596, 1265, 2081, 547, 4383, 707, 14501, 267, 1256, 952, 513, 2601, 3884, 1406, 4857, 563, 5278, 31834, 1773, 3166, 1411, 693, 16842, 667, 9734, 585, 20539, 15282, 269, 1107, 2052, 20539, 15282, 22067, 7982, 454, 3080, 540, 519, 1034, 1455, 2601, 585, 9825, 15282, 568, 22680, 11901, 267, 607, 1134, 607, 1880, 8594, 2188, 949, 2333, 519, 7399, 540, 596, 2870, 713, 1106, 540, 9825, 15282, 281, 563, 24791, 667, 10638, 563, 303, 770, 2212, 8194, 563, 11947, 2698, 8501, 1377, 563, 16352, 891, 1981, 2188, 3085, 1406, 1611, 596, 786, 6157, 1711, 9825, 15282, 1700, 789, 1175, 1747, 596, 693, 606, 6659, 1981, 585, 519, 2783, 563, 5278, 1004, 609, 9825, 15282, 2013, 602, 968, 11499, 892, 610, 2067, 16185, 666, 2087, 519, 18343, 607, 1134, 607, 530, 5622, 5414, 2833, 789, 1745, 563, 4322, 5574, 616, 2356, 8246, 2059, 609, 3044, 2126, 563, 2791, 1058, 1152, 3801, 2777, 14911, 543, 849, 1114, 11257, 952, 707, 10629, 3091, 596, 519, 10479, 269, 2368, 616, 4625, 1981, 6954, 267, 2943, 1866, 666, 1711, 811, 2800, 982, 1434, 952, 596, 723, 1880, 2564, 2175, 563, 305, 792, 337, 4474, 4518, 8083, 1411, 2052, 1684, 693, 5851, 563, 2252, 707, 4387, 814, 8995, 596, 607, 2348, 835, 540, 519, 1034, 8912, 2186, 540, 9825, 15282, 267, 22480, 1612, 2135, 903, 7356, 2990, 531, 9825, 15282, 630, 21990, 11901, 1070, 930, 2994, 602, 616, 1500, 946, 540, 547, 30337, 14848, 538, 707, 6418, 1274, 666, 581, 2944, 693, 1753, 269, 2659, 3782, 8502, 786, 6157, 2285, 596, 2143, 5528, 593, 875, 547, 7561, 798, 891, 2963, 23418, 9285, 5751, 563, 763, 661, 921, 344, 23603, 267, 10123, 1572, 968, 4754, 531, 603, 1065, 3789, 532, 2223, 2882, 513, 4015, 540, 2212, 607, 1134, 607, 1560, 5322, 547, 882, 11229, 14848, 856, 540, 519, 12931, 1844, 983, 23668, 540, 707, 4835, 1274, 269, 898, 568, 7363, 2808, 5150, 543, 849, 2500, 267, 2687, 547, 1353, 563, 4407, 519, 3797, 568, 3335, 5645, 856, 676, 513, 11285, 693, 513, 10629, 779, 9036, 267, 596, 949, 581, 7152, 875, 547, 798, 9168, 23736, 693, 1753, 563, 291, 2884, 776, 17797, 906, 2904, 22707, 8409, 2060, 631, 2946, 14269, 27056, 779, 8376, 563, 5278, 1004, 609, 9825, 15282, 4324, 689, 4657, 741, 2732, 20786, 269, 1280, 1383, 267, 1346, 609, 9825, 15282, 4191, 945, 941, 8995, 607, 2348, 631, 2946, 14269, 27056, 779, 2068, 610, 26043, 23938, 9825, 15282, 1522, 12398, 602, 9363, 2312, 540, 1880, 12204, 540, 3536, 610, 6878, 666, 3895, 5714, 11466, 538, 519, 10772, 543, 849, 1560, 563, 23777, 673, 27521, 338, 602, 1223, 22652, 9825, 15282, 538, 1808, 2043, 609, 891, 21904, 1331, 281, 2052, 20539, 15282, 22067, 7982, 454, 11947, 2157, 540, 14933, 563, 4692, 4675, 6123, 543, 849, 3026, 10354, 744, 2812, 22707, 888, 1103, 2489, 267, 519, 1382, 1353, 593, 9360, 543, 849, 824, 2067, 5574, 568, 11658, 543, 4756, 4470, 593, 519, 1978, 9825, 15282, 2564, 5868, 269, 1924, 621, 779, 4998, 547, 4983, 609, 707, 2564, 2319, 952, 543, 849, 4010, 875, 4998, 547, 6451, 1022, 835, 540, 891, 5574, 883, 707, 3797, 1544, 563, 2690, 3236, 267, 513, 476, 1001, 275, 21977, 1353, 1336, 575, 1074, 2998, 21536, 20899, 1349, 547, 581, 607, 3608, 607, 513, 13310, 4915, 585, 8156, 9825, 15282, 2589, 538, 1004, 1510, 513, 1880, 9825, 15282, 2564, 5868, 269, 630, 276, 30155, 26452, 824, 1382, 2090, 723, 2965, 3254, 602, 513, 9000, 540, 6171, 667, 568, 4448, 609, 14556, 4328, 9825, 15282, 4191, 543, 2589, 538, 930, 2043, 609, 22680, 11901, 269, 630, 277, 264, 1411, 666, 6318, 707, 2157, 540, 6171, 667, 676, 2921, 513, 7110, 267, 3478, 1256, 811, 24106, 267, 610, 4189, 3536, 3638, 538, 519, 6171, 269, 1717, 267, 972, 3884, 1406, 4396, 6169, 602, 7231, 609, 6171, 667, 10638, 786, 15186, 5818, 4191, 543, 2589, 563, 5278, 1004, 3409, 602, 9001, 2556, 11041, 267, 899, 14723, 20511, 267, 32175, 267, 11993, 2545, 332, 267, 20909, 267, 607, 1134, 607, 18367, 4532, 1619, 267, 11226, 5818, 4191, 540, 9825, 15282, 269, 2755, 972, 779, 930, 2963, 602, 1808, 11041, 723, 16392, 5383, 267, 519, 4093, 616, 4122, 20762, 563, 21982, 1416, 540, 519, 13262, 2334, 22291, 519, 16448, 563, 5278, 2175, 602, 1711, 9825, 15282, 4191, 543, 2589, 666, 581, 20335, 8338, 676, 2566, 543, 4160, 269, 30047, 707, 4160, 2157, 568, 1271, 585, 707, 2489, 9716, 269, 14506, 267, 2620, 1532, 805, 3107, 2553, 267, 610, 15904, 949, 948, 596, 1745, 3063, 17159, 269, 13185, 547, 707, 4387, 585, 1256, 811, 31452, 593, 875, 547, 1852, 707, 2566, 269, 0, 7197, 1455, 3381, 11049, 16166, 454, 2252, 596, 723, 5063, 13175, 547, 12575, 7044, 267, 1034, 540, 519, 2474, 689, 2228, 4245, 585, 2386, 3280, 899, 513, 4625, 14542, 1893, 547, 596, 269, 1306, 513, 1267, 267, 789, 666, 3575, 538, 707, 2212, 267, 543, 3079, 540, 1620, 1018, 547, 798, 267, 596, 786, 723, 547, 1093, 651, 693, 4351, 3252, 538, 519, 3381, 9375, 547, 1294, 1018, 741, 3483, 568, 267, 543, 713, 666, 1491, 513, 2603, 540, 942, 563, 4913, 267, 596, 1810, 1406, 723, 547, 24440, 1007, 1913, 1169, 942, 267, 607, 649, 723, 1500, 513, 1592, 540, 2474, 543, 8847, 1031, 950, 2324, 609, 3381, 15769, 2336, 2414, 2253, 609, 267, 1577, 779, 1491, 513, 1413, 693, 519, 8818, 2609, 1459, 538, 1034, 2413, 15769, 563, 7197, 7928, 2474, 543, 8847, 585, 3381, 11049, 454, 763, 1788, 568, 519, 1034, 2596, 2165, 267, 543, 922, 2012, 2982, 922, 3483, 269, 15439, 2322, 267, 713, 568, 1018, 596, 616, 2324, 593, 267, 2436, 513, 3381, 610, 8301, 1788, 563, 17582, 10628, 568, 3388, 596, 1294, 950, 596, 1376, 610, 1930, 513, 1788, 538, 519, 3381, 9375, 269, 901, 2882, 519, 1788, 15415, 267, 12744, 6885, 267, 543, 824, 3308, 2609, 269, 2368, 4359, 15769, 1450, 2688, 1944, 519, 29683, 865, 602, 621, 13352, 707, 1699, 2115, 563, 20755, 5202, 568, 513, 30305, 2230, 538, 519, 9375, 1141, 519, 3355, 3334, 540, 519, 1788, 630, 341, 8721, 267, 8301, 543, 824, 2923, 6119, 264, 602, 596, 616, 2469, 547, 12575, 616, 5116, 269, 3371, 267, 596, 2322, 15998, 540, 519, 1788, 543, 6582, 873, 547, 1711, 513, 5311, 538, 519, 5730, 1931, 789, 1058, 1404, 538, 519, 3803, 1267, 563, 5278, 3602, 2282, 519, 15415, 267, 972, 1522, 849, 581, 24680, 1793, 11107, 602, 1450, 596, 547, 24680, 538, 610, 856, 269, 15394, 267, 789, 1413, 899, 1341, 543, 1107, 4191, 267, 855, 930, 15769, 666, 946, 824, 24069, 267, 1247, 593, 11436, 596, 786, 32521, 538, 610, 856, 609, 707, 11263, 269, 25672, 4040, 568, 1360, 5363, 950, 596, 1616, 547, 1294, 782, 519, 2609, 538, 1804, 3785, 610, 952, 596, 991, 547, 1118, 513, 2603, 540, 2242, 547, 519, 2110, 851, 540, 519, 8301, 610, 3381, 563, 763, 3950, 568, 513, 5094, 1899, 267, 610, 513, 4494, 267, 538, 519, 15415, 267, 1141, 596, 1039, 3381, 267, 8301, 267, 2592, 267, 543, 3061, 687, 269, 2201, 519, 13475, 267, 782, 519, 2609, 540, 519, 1788, 616, 968, 326, 1663, 539, 1927, 6100, 769, 1082, 15769, 267, 13475, 585, 10643, 267, 3381, 267, 543, 8301, 616, 4092, 14384, 282, 952, 596, 1616, 267, 596, 666, 12404, 543, 21379, 728, 873, 610, 1039, 513, 1007, 835, 563, 5141, 2354, 267, 849, 1572, 2621, 267, 616, 4092, 593, 13475, 269, 898, 949, 581, 513, 3095, 547, 513, 23650, 540, 519, 2707, 3758, 630, 528, 519, 3003, 3758, 264, 609, 513, 3381, 267, 8301, 267, 610, 3239, 267, 610, 513, 17157, 6383, 676, 519, 1982, 3294, 1107, 10643, 267, 2681, 610, 9403, 6445, 267, 3092, 269, 634, 17157, 568, 519, 1292, 1826, 540, 1843, 596, 2461, 2469, 547, 960, 609, 563, 15812, 619, 616, 1031, 547, 1039, 513, 6085, 610, 824, 1797, 540, 10223, 513, 23650, 267, 1818, 621, 4443, 547, 1265, 513, 1808, 835, 950, 596, 723, 547, 960, 593, 621, 563, 11742 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2014, 540, 519, 8488, 269, 769, 1082, 2665, 267, 596, 949, 581, 2111, 547, 4194, 519, 1966, 593, 707, 1378, 267, 4470, 593, 875, 1964, 539, 596, 616, 267, 519, 2179, 540, 1928, 596, 723, 267, 707, 1533, 540, 2247, 267, 543, 2436, 596, 723, 3929, 1489, 543, 19015, 269, 1452, 2188, 3310, 2436, 596, 666, 946, 519, 1739, 3800, 543, 585, 875, 1279, 563, 288, 2407, 15485, 666, 8488, 4074, 3356, 543, 2333, 1928, 267, 865, 8900, 707, 15485, 1169, 5662, 610, 865, 563, 2252, 596, 4076, 4607, 1928, 6527, 610, 824, 5061, 602, 949, 723, 30281, 707, 4074, 267, 1450, 942, 585, 873, 547, 5957, 1055, 267, 952, 621, 779, 2922, 547, 798, 865, 563, 2252, 596, 4076, 1044, 14084, 538, 835, 2990, 585, 513, 1279, 942, 267, 3802, 610, 1796, 547, 1577, 8904, 948, 707, 4816, 13956, 269, 2107, 6521, 689, 14084, 593, 835, 2427, 547, 9361, 610, 547, 519, 3946, 7146, 10275, 928, 525, 2990, 269, 2422, 891, 7158, 1256, 952, 596, 2461, 7923, 547, 606, 10001, 1899, 543, 606, 5907, 19341, 6895, 563, 2414, 3986, 519, 7145, 540, 27373, 267, 2119, 1035, 1575, 21913, 267, 562, 21451, 14242, 267, 6972, 267, 543, 7555, 269, 630, 8450, 3817, 476, 30116, 1700, 29344, 8094, 4462, 325, 27544, 6881, 610, 2990, 540, 4816, 454, 2414, 2087, 519, 6881, 610, 2990, 540, 707, 4816, 1369, 707, 10652, 6665, 267, 2119, 519, 2553, 4330, 593, 2985, 476, 30525, 563, 5719, 5139, 1674, 543, 3668, 540, 29454, 454, 2414, 1832, 19872, 543, 1683, 4492, 585, 519, 2182, 960, 540, 4074, 267, 4235, 7899, 540, 12862, 543, 3548, 3536, 602, 2285, 596, 1648, 630, 604, 4847, 1916, 2750, 9151, 542, 610, 2566, 454, 2252, 596, 2461, 27209, 267, 14221, 267, 31604, 267, 610, 25356, 267, 596, 991, 15260, 4269, 267, 19015, 267, 513, 2922, 543, 14637, 1604, 267, 543, 948, 609, 4313, 3800, 543, 11005, 2553, 630, 5408, 3848, 476, 1556, 1040, 589, 3654, 5055, 666, 14867, 707, 3929, 2566, 543, 10462, 267, 543, 666, 15260, 675, 543, 3391, 1312, 596, 543, 707, 7649, 269, 630, 8450, 2985, 476, 2537, 585, 811, 1344, 827, 3654, 20393, 4700, 1411, 666, 849, 2569, 2566, 543, 1628, 6015, 676, 13288, 547, 519, 1344, 596, 4076, 4121, 538, 713, 1433, 543, 538, 824, 2200, 593, 6379, 543, 4332, 267, 610, 538, 707, 27638, 7041, 5049, 269, 14936, 267, 1810, 1406, 7340, 707, 11923, 543, 6413, 5234, 9789, 597, 948, 666, 2844, 596, 563, 25503, 595, 22664, 11123, 11550, 299, 32670, 3633, 8028, 20937, 700, 5723, 3036, 454, 2691, 3742, 4074, 25815, 1524, 610, 588, 8712, 267, 707, 27877, 779, 3804, 568, 547, 2708, 543, 2226, 707, 4816, 779, 1134, 5630, 607, 1134, 607, 707, 1378, 269, 1403, 596, 2461, 1312, 7109, 908, 519, 8488, 267, 972, 949, 581, 942, 547, 1577, 519, 1966, 8207, 3294, 610, 547, 3313, 519, 2014, 540, 519, 8488, 543, 26544, 607, 2556, 269, 16952, 21420, 11400, 616, 2693, 267, 547, 2638, 585, 3356, 538, 17818, 546, 7976, 543, 538, 707, 4816, 779, 16350, 610, 10047, 269, 2659, 4816, 779, 2295, 2557, 568, 16913, 5702, 267, 7654, 609, 6024, 5907, 19341, 5464, 269, 1411, 949, 4309, 10001, 12862, 547, 2061, 610, 1521, 18024, 267, 543, 596, 949, 2253, 547, 10950, 6527, 585, 11005, 543, 1928, 8323, 952, 707, 4074, 568, 3768, 340, 569, 1279, 269, 1677, 2119, 547, 3432, 909, 4074, 267, 707, 27877, 949, 28230, 707, 17011, 630, 5408, 2985, 476, 18231, 1070, 610, 646, 610, 1352, 949, 17982, 16381, 665, 514, 547, 32433, 707, 4074, 676, 2810, 519, 4908, 543, 8515, 540, 27373, 563, 1103, 513, 9709, 1753, 4332, 610, 4332, 693, 513, 4332, 4099, 267, 513, 4483, 547, 519, 6413, 3587, 2556, 952, 596, 991, 16381, 665, 514, 610, 952, 707, 4816, 3884, 1406, 7109, 908, 4074, 1134, 269, 1160, 14075, 539, 3742, 4074, 568, 519, 1034, 1455, 2601, 585, 4483, 547, 519, 6413, 1282, 4074, 538, 513, 9709, 856, 6361, 3620, 2214, 1388, 4332, 563, 2252, 519, 5464, 540, 707, 4816, 779, 2295, 2557, 2982, 602, 646, 3884, 1406, 7109, 908, 4074, 1134, 267, 610, 952, 707, 4074, 5170, 547, 18848, 1256, 1310, 8391, 16381, 665, 514, 267, 596, 543, 707, 27877, 949, 6430, 513, 524, 525, 732, 534, 3296, 568, 2556, 563, 20784, 8582, 8028, 20937, 700, 5723, 3036, 11404, 4785, 3633, 15760, 22400, 645, 5723, 312, 24912, 623, 5308, 296, 3582, 454, 3080, 540, 519, 1034, 1455, 4128, 585, 12675, 3742, 4074, 568, 513, 4816, 945, 779, 538, 606, 30369, 2990, 267, 610, 4731, 6570, 267, 543, 3085, 1406, 3514, 883, 519, 10652, 6665, 607, 1134, 607, 513, 4816, 538, 513, 15028, 2990, 1281, 269, 6168, 476, 1839, 2600, 540, 2021, 2253, 4074, 609, 513, 4816, 538, 519, 1624, 760, 583, 17911, 630, 8008, 264, 2990, 267, 538, 799, 519, 1394, 540, 519, 4816, 779, 2212, 568, 4724, 519, 3993, 779, 1394, 269, 901, 4731, 6570, 666, 10804, 4074, 1317, 519, 4816, 779, 2212, 1590, 17967, 2417, 982, 8912, 547, 3068, 519, 3993, 779, 4395, 267, 610, 1624, 760, 583, 18751, 630, 29151, 1070, 519, 15028, 2990, 585, 4332, 269, 769, 1840, 267, 950, 519, 4816, 568, 20525, 267, 17818, 546, 7976, 543, 519, 4816, 779, 16350, 1522, 711, 3356, 7561, 563, 3528, 519, 5912, 3942, 540, 4074, 267, 1034, 20525, 9002, 723, 5828, 547, 519, 29314, 2990, 593, 741, 1378, 267, 4352, 930, 2490, 1310, 5912, 269, 1879, 1970, 538, 519, 4332, 12324, 267, 930, 20525, 9002, 616, 5828, 676, 519, 27877, 267, 945, 10301, 3330, 519, 29199, 543, 29226, 519, 4816, 779, 2212, 547, 519, 29314, 2990, 269, 901, 5650, 814, 513, 1713, 1967, 2557, 269, 1704, 4033, 9002, 616, 4535, 538, 519, 20525, 2990, 630, 27271, 1572, 968, 15711, 5500, 2427, 909, 25257, 610, 616, 4535, 676, 524, 525, 732, 534, 3296, 563, 1103, 4256, 13574, 9293, 454, 6097, 547, 1896, 16953, 18767, 267, 1250, 4816, 1185, 5828, 513, 7008, 2053, 1282, 4074, 267, 689, 3068, 1575, 547, 5185, 1144, 543, 1394, 1586, 269, 2311, 519, 942, 540, 519, 4332, 267, 1352, 729, 3068, 1575, 267, 799, 5795, 803, 513, 2603, 540, 1394, 1928, 269, 24664, 1176, 267, 649, 1185, 513, 3659, 1459, 945, 729, 2866, 547, 581, 513, 3654, 5055, 269, 2701, 1705, 513, 8748, 2816, 2527, 1645, 1250, 1394, 1282, 27373, 267, 799, 1500, 519, 1928, 7109, 762, 563, 2252, 707, 4816, 568, 20525, 610, 6382, 4731, 6570, 539, 630, 7945, 607, 513, 536, 992, 610, 3068, 6881, 1765, 5408, 2985, 476, 27768, 1070, 596, 949, 723, 9645, 1394, 1928, 1282, 543, 3006, 1063, 27373, 267, 7654, 1317, 707, 4816, 779, 2212, 568, 10296, 19514, 569, 593, 707, 5485, 5300, 267, 2269, 1456, 707, 5485, 549, 8270, 659, 10549, 543, 4929, 1928, 538, 707, 2539, 1394, 269, 7982, 1928, 849, 949, 2049, 950, 707, 4816, 568, 29529, 630, 2391, 2427, 1811, 264, 610, 1256, 29314, 563, 12988, 1928, 610, 12675, 3742, 4074, 568, 3006, 3361, 676, 513, 11029, 4731, 6570, 1572, 607, 2106, 743, 22451, 267, 538, 799, 519, 4816, 779, 2212, 568, 21266, 1540, 543, 519, 1283, 540, 621, 3884, 1406, 10704, 593, 519, 14677, 1460, 269, 2060, 607, 2106, 743, 22451, 267, 519, 2212, 3085, 1406, 2046, 14961, 1996, 519, 14677, 1460, 630, 6518, 2306, 546, 7976, 1447, 3608, 264, 543, 621, 3085, 1406, 3514, 998, 519, 10652, 6665, 607, 1134, 607, 950, 621, 779, 10704, 593, 519, 14677, 1460, 269, 1879, 519, 4816, 779, 2212, 568, 21266, 1540, 267, 519, 851, 540, 519, 2212, 602, 19674, 1101, 998, 519, 4332, 12324, 568, 3677, 982, 950, 519, 1283, 540, 519, 2212, 19674, 1101, 563, 288, 27675, 743, 22451, 568, 2352, 547, 13209, 1282, 4074, 267, 14356, 1317, 621, 779, 711, 607, 5693, 2404, 609, 1394, 1928, 607, 519, 20525, 2990, 568, 269, 1849, 1132, 602, 2303, 607, 2106, 743, 22451, 1331, 16607, 546, 7976, 610, 19514, 546, 7976, 267, 538, 799, 1034, 540, 519, 14677, 1460, 8920, 919, 4625, 1247, 519, 14230, 3085, 1406, 267, 2870, 513, 968, 322, 969, 673, 9067, 6100, 6271, 23319, 568, 513, 22224, 14677, 1460, 602, 4667, 547, 723, 6806, 513, 1906, 17744, 269, 2991, 519, 4332, 540, 519, 2212, 267, 922, 3337, 568, 849, 513, 23319, 547, 519, 4816, 779, 2990, 269, 1403, 519, 2212, 814, 930, 1055, 7266, 518, 20436, 566, 267, 621, 6920, 602, 519, 4816, 779, 2990, 729, 607, 2106, 743, 12792, 563, 1432, 1411, 2052, 1684, 1403, 2659, 17926, 1772, 5689, 6570, 539, 454, 2005, 666, 581, 2352, 547, 2697, 513, 4816, 779, 2990, 282, 1256, 19023, 15637, 543, 11923, 1419, 3765, 1211, 1518, 621, 269, 1240, 1280, 713, 2601, 267, 8263, 707, 4816, 568, 4731, 6570, 539, 952, 707, 4074, 3356, 814, 30281, 267, 952, 596, 723, 1394, 1928, 267, 610, 952, 596, 723, 12150, 610, 23993, 27373, 630, 24593, 538, 8424, 609, 513, 2110, 2736, 1063, 519, 1101, 543, 2034, 27373, 1040, 2311, 1022, 1448, 538, 4074, 267, 2119, 519, 7158, 543, 4313, 3800, 4330, 593, 3817, 476, 25248, 1700, 22446, 547, 948, 11126, 707, 4816, 779, 2990, 543, 4383, 1394, 1928, 269, 2060, 4797, 946, 267, 891, 7158, 1058, 3391, 707, 4816, 883, 513, 15028, 2990, 269, 4495, 707, 4816, 779, 2212, 13352, 883, 707, 10652, 6665, 267, 1394, 1928, 1419, 7449, 1938, 543, 4074, 3356, 10607, 563, 25503, 6673, 24165, 21815, 2464, 9215, 23781, 23966, 12717, 645, 19272, 13698, 2562, 454, 2252, 596, 3136, 547, 723, 7920, 1394, 1928, 1256, 1247, 1210, 519, 7158, 543, 4313, 3800, 4330, 593, 3817, 476, 25248, 1700, 22446, 267, 1934, 616, 513, 1906, 2564, 4485, 602, 949, 948, 14867, 519, 1928, 563, 306, 614, 850, 4826, 13332, 454, 2252, 596, 723, 4049, 1394, 1928, 855, 1616, 547, 7413, 946, 540, 1928, 6527, 267, 519, 25062, 1216, 3625, 568, 513, 9621, 4781, 269, 1677, 17982, 513, 25062, 1216, 3625, 267, 707, 27877, 610, 12016, 7630, 338, 6263, 5666, 540, 25062, 1216, 883, 2185, 4025, 593, 707, 2539, 1394, 269, 634, 5650, 2488, 3592, 7525, 1928, 8323, 676, 6385, 2810, 1439, 6973, 514, 2504, 538, 519, 1858, 1472, 519, 13297, 4609, 269, 634, 2360, 2063, 585, 606, 5662, 610, 1079, 267, 543, 519, 5650, 666, 581, 7368, 269, 634, 1101, 24409, 949, 1745, 899, 13520, 588, 902, 585, 909, 547, 13977, 7643, 267, 855, 3606, 24409, 949, 581, 1447, 18476, 269, 2755, 519, 25062, 1216, 3625, 666, 14867, 1394, 1928, 267, 621, 3085, 1406, 14867, 14159, 1928, 269, 866, 454, 2252, 596, 2461, 5461, 538, 519, 25062, 1216, 3625, 267, 1865, 621, 609, 707, 27877, 563, 8469, 10716, 585, 10266, 28057, 454, 2252, 596, 723, 4049, 1394, 1928, 1282, 513, 12675, 3742, 4074, 543, 1616, 6527, 585, 8323, 267, 596, 666, 2307, 707, 27877, 610, 12016, 585, 606, 8623, 1116, 610, 11983, 27640, 18352, 269, 630, 8450, 3848, 476, 1015, 8094, 3519, 1356, 985, 827, 519, 17926, 779, 4270, 5630, 454, 7197, 2635, 2407, 3856, 9002, 1205, 513, 1732, 1376, 538, 1272, 952, 789, 10929, 4074, 269, 2552, 10330, 7914, 3613, 691, 1082, 3157, 602, 2087, 513, 4816, 779, 5912, 547, 1272, 3544, 519, 27042, 267, 971, 607, 7244, 267, 2837, 7939, 267, 10332, 1145, 267, 543, 29186, 1782, 563, 7628, 513, 19432, 267, 519, 2179, 540, 5135, 602, 779, 2139, 547, 519, 4816, 9775, 269, 4014, 1034, 9002, 22771, 585, 713, 8390, 1134, 267, 513, 1906, 666, 1406, 543, 3079, 1397, 4191, 540, 11605, 269, 1280, 891, 9002, 267, 5907, 19341, 5464, 630, 9128, 300, 264, 540, 741, 2295, 2557, 3270, 6920, 789, 2461, 711, 3478, 519, 6099, 2179, 540, 5135, 1282, 27373, 269, 9040, 625, 538, 713, 3510, 616, 4330, 607, 2348, 1875, 516, 817, 1005, 19341, 2295, 2557, 267, 849, 1572, 19341, 22166, 540, 4074, 610, 3274, 968, 325, 13926, 11605, 1848, 6423, 2985, 476, 21857, 585, 811, 1344, 563, 763, 4527, 540, 803, 935, 1756, 630, 320, 4816, 779, 1101, 3653, 264, 538, 519, 993, 333, 8438, 5714, 949, 849, 5815, 602, 513, 4816, 3884, 1406, 9104, 908, 1134, 585, 519, 8795, 2179, 540, 2139, 5135, 1282, 27373, 269, 1879, 513, 4816, 779, 5135, 3761, 568, 1970, 267, 1200, 24026, 16081, 335, 547, 6494, 5135, 11656, 1973, 547, 824, 2127, 602, 991, 5135, 519, 1034, 630, 7945, 607, 1200, 2634, 1040, 901, 16081, 4771, 3123, 803, 935, 1756, 547, 1780, 689, 519, 24026, 883, 519, 993, 333, 8438, 5714, 267, 4758, 519, 5714, 779, 3339, 2312, 2681, 513, 6960, 880, 610, 3039, 880, 512 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3245, 22816, 12855, 12780, 267, 519, 1863, 2923, 23789, 269, 30180, 547, 12445, 30180, 547, 3406, 269, 9012, 538, 7121, 590, 1248, 877, 7851, 540, 4279, 6628, 634, 1739, 476, 278, 6119, 616, 538, 713, 7121, 267, 856, 540, 476, 278, 2698, 269, 23720, 21519, 4786, 26666, 476, 1220, 6398, 476, 30525, 282, 476, 3953, 22995, 269, 11829, 698, 615, 21519, 4786, 26666, 476, 1220, 6398, 476, 30525, 282, 476, 1839, 22995, 269, 26186, 514, 590, 1248, 877, 17392, 10934, 26666, 476, 1220, 6398, 476, 30525, 282, 476, 1789, 22995, 269, 717, 18365, 26666, 476, 1220, 269, 1717, 267, 952, 596, 616, 5461, 538, 590, 1248, 1868, 610, 2637, 7002, 9609, 267, 713, 568, 711, 519, 1747, 585, 596, 256, 594, 723, 513, 1906, 6402, 547, 13677, 5444, 30688, 4609, 593, 1250, 6402, 2985, 269, 594, 798, 723, 513, 1906, 1147, 12849, 593, 1250, 590, 1248, 1868, 2985, 269, 1717, 267, 713, 2985, 781, 8247, 568, 547, 1683, 513, 1592, 540, 1147, 12849, 602, 3280, 552, 25045, 517, 1190, 607, 1101, 4408, 269, 1403, 596, 2811, 5461, 3274, 538, 519, 2495, 540, 707, 2012, 267, 2705, 267, 596, 949, 1616, 547, 1376, 1934, 10756, 2467, 616, 827, 476, 3583, 267, 1822, 1004, 609, 519, 21519, 538, 6628, 267, 543, 519, 4681, 1611, 602, 1472, 476, 1704, 267, 4335, 2367, 267, 7488, 540, 741, 1920, 4054, 267, 666, 1631, 3409, 547, 581, 540, 10424, 16350, 634, 16099, 540, 25470, 2968, 606, 1271, 4137, 538, 20331, 17086, 1272, 267, 6679, 519, 9576, 3703, 6181, 542, 5993, 12197, 540, 3816, 27320, 693, 31689, 30745, 585, 1082, 1296, 543, 9683, 3028, 10986, 543, 741, 3885, 538, 519, 5177, 543, 1472, 519, 20448, 5781, 2429, 1010, 2324, 1272, 269, 16731, 8940, 269, 5797, 531, 16896, 547, 1265, 856, 811, 827, 634, 16099, 540, 25470, 543, 519, 20331, 17086, 269, 476, 3066, 269, 18733, 269, 476, 278, 3953, 269, 589, 269, 4658, 609, 590, 1248, 877, 645, 6020, 2316, 17239, 2713, 538, 6576, 269, 17502, 1356, 3427, 3703, 1862, 9612, 585, 281, 9612, 269, 700, 11229, 6363, 5987, 269, 4467, 269, 700, 11229, 707, 14886, 543, 4039, 2510, 269, 700, 11229, 513, 31541, 282, 18831, 269, 6576, 269, 645, 6020, 538, 6576, 269, 645, 6020, 2316, 17239, 538, 6576, 269, 4658, 609, 590, 1248, 877, 645, 6020, 2316, 17239, 2713, 538, 6576, 269, 700, 11229, 707, 3659, 610, 3448, 609, 1147, 2012, 610, 2034, 2012, 645, 6020, 2316, 17239, 2713, 538, 6576, 1547, 8745, 17372, 282, 17502, 1356, 3427, 3703, 281, 476, 4510, 269, 623, 4536, 21546, 11642, 1394, 1310, 1373, 1572, 856, 585, 711, 1210, 3735, 19033, 781, 21519, 28697, 8991, 631, 3036, 294, 3198, 814, 5734, 1394, 693, 513, 12108, 3593, 945, 15034, 1864, 540, 15293, 532, 1010, 3735, 19033, 267, 676, 711, 1210, 1010, 21519, 269, 1635, 1656, 16699, 29139, 802, 269, 29706, 13993, 23360, 3633, 281, 476, 1321, 281, 866, 267, 3933, 267, 3057, 476, 272, 267, 476, 1708, 272, 1923, 772, 11520, 28714, 281, 476, 1321, 281, 866, 267, 3933, 267, 3057, 476, 272, 267, 476, 1708, 272, 563, 10144, 609, 590, 1248, 877, 645, 6020, 2316, 17239, 2713, 538, 16266, 269, 3627, 333, 3703, 1862, 9612, 585, 281, 9612, 269, 700, 11229, 6363, 5987, 269, 4467, 269, 700, 11229, 707, 14886, 543, 4039, 2510, 269, 700, 11229, 513, 31541, 282, 18831, 269, 16266, 269, 645, 6020, 538, 16266, 269, 645, 6020, 2316, 17239, 538, 16266, 269, 4658, 609, 590, 1248, 877, 645, 6020, 2316, 17239, 2713, 538, 16266, 269, 700, 11229, 707, 3659, 610, 3448, 609, 1147, 2012, 610, 2034, 2012, 645, 6020, 2316, 17239, 2713, 538, 16266, 269, 8745, 17372, 282, 3627, 333, 3703, 281, 21238, 334, 700, 1815, 14128, 1512, 476, 3707, 276, 267, 2986, 545, 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 ]
[ 798, 711, 2503, 269, 898, 568, 513, 942, 950, 2576, 1223, 581, 538, 8594, 610, 269, 32495, 820, 8881, 13832, 3040, 3816, 664, 2836, 332, 269, 14675, 2356, 9551, 525, 13091, 5163, 676, 513, 8237, 2034, 563, 2252, 596, 723, 2919, 519, 2953, 13091, 6114, 538, 707, 2247, 1354, 513, 844, 820, 267, 713, 8237, 3813, 268, 1180, 568, 2614, 942, 547, 19334, 707, 13128, 6547, 563, 2252, 596, 3251, 9350, 267, 596, 786, 581, 914, 268, 614, 2111, 547, 2708, 707, 3510, 269, 5192, 713, 689, 513, 5399, 269, 32495, 820, 6595, 269, 1496, 291, 537, 6549, 667, 21779, 316, 4534, 1323, 7920, 13091, 814, 1175, 4224, 539, 606, 6532, 538, 519, 11335, 7256, 563, 10287, 513, 1762, 19784, 607, 1352, 26082, 513, 2319, 540, 4966, 602, 568, 5464, 519, 3148, 781, 20381, 2534, 543, 1818, 4566, 547, 269, 1403, 596, 2661, 538, 13091, 2197, 267, 713, 3018, 779, 543, 16767, 538, 4993, 4440, 723, 596, 513, 3787, 593, 6316, 563, 21607, 602, 8401, 1648, 547, 1434, 946, 543, 1205, 707, 1079, 6595, 269, 4414, 1721, 320, 13159, 32495, 820, 20045, 281, 634, 5842, 12770, 2861, 2754, 267, 3323, 676, 15156, 540, 1514, 13055, 945, 4810, 741, 1101, 13091, 1287, 3576, 606, 6595, 3210, 1576, 267, 814, 563, 24618, 638, 820, 3883, 543, 17073, 16721, 1563, 1145, 269, 15055, 269, 32495, 820, 267, 1022, 6727, 24373, 540, 519, 2666, 3361, 676, 519, 8574, 540, 20381, 6329, 998, 3047, 779, 7725, 563, 24618, 638, 1389, 2049, 1034, 1419, 2059, 27230, 24966, 267, 7522, 10851, 1141, 4224, 13999, 1847, 538, 6935, 547, 835, 1776, 269, 6258, 811, 827, 519, 3123, 543, 2360, 540, 16767, 538, 713, 2376, 269, 3040, 589, 2101, 9568, 786, 2333, 519, 11411, 593, 1857, 3106, 543, 2564, 2200, 28354, 563, 28770, 11765, 4431, 619, 786, 581, 2838, 547, 2468, 720, 741, 3210, 547, 2127, 1141, 1463, 6304, 786, 6556, 519, 6574, 2164, 269, 9869, 8558, 786, 2141, 4309, 10862, 269, 3040, 2991, 1022, 2101, 6237, 9568, 971, 607, 19996, 610, 13091, 267, 3339, 269, 2304, 13091, 630, 10193, 1634, 607, 513, 844, 820, 267, 12152, 528, 610, 1661, 321, 3271, 264, 568, 519, 24373, 540, 519, 2627, 540, 519, 3047, 4611, 689, 513, 6727, 5305, 540, 1648, 538, 519, 3047, 781, 12776, 14459, 602, 5932, 20381, 579, 1389, 666, 2039, 538, 2450, 689, 1346, 602, 616, 865, 4617, 602, 789, 3112, 581, 5433, 547, 1346, 10795, 2614, 547, 4412, 601, 3615, 543, 1004, 883, 519, 2011, 267, 543, 20739, 752, 9552, 2066, 1547, 1892, 4024, 707, 2834, 2959, 540, 6351, 581, 2139, 1310, 513, 9568, 888, 1892, 1548, 952, 1379, 267, 3154, 267, 543, 6049, 3515, 616, 711, 2324, 286, 32495, 820, 24373, 666, 1847, 3592, 4376, 267, 1256, 1804, 610, 5230, 3688, 269, 15822, 5624, 616, 1433, 267, 610, 513, 10788, 578, 269, 1403, 1100, 10160, 267, 2119, 547, 1205, 1524, 609, 707, 2212, 269, 0, 7628, 519, 2063, 5756, 540, 519, 476, 736, 628, 2540, 267, 519, 18917, 4843, 1896, 2442, 8613, 3126, 269, 2290, 3126, 729, 11331, 634, 12389, 14136, 269, 634, 3126, 267, 2813, 676, 29489, 6424, 2311, 1084, 28386, 267, 729, 3376, 538, 922, 3140, 9165, 267, 10223, 1082, 2934, 540, 1272, 593, 14136, 3047, 269, 4706, 729, 8185, 8733, 538, 922, 6249, 267, 10771, 519, 1604, 543, 519, 4027, 540, 2470, 585, 799, 8103, 568, 3743, 269, 1284, 2566, 922, 6609, 540, 14136, 3047, 607, 634, 12389, 14136, 269, 2311, 1084, 28386, 6585, 1699, 8103, 3743, 585, 519, 1697, 1416, 540, 519, 1604, 269, 22716, 529, 593, 8103, 779, 6161, 585, 3618, 779, 2713, 7068, 568, 29810, 543, 862, 754, 762, 563, 4913, 267, 1247, 4974, 519, 17890, 9504, 7127, 593, 519, 6211, 21184, 540, 2311, 1084, 28386, 267, 621, 568, 10423, 602, 835, 540, 519, 1034, 20546, 532, 2152, 540, 938, 1554, 9789, 18813, 640, 540, 1480, 1272, 630, 327, 27622, 18682, 16772, 28931, 339, 1389, 513, 11397, 1394, 10160, 547, 2825, 543, 8733, 2152, 269, 6201, 281, 19236, 9265, 267, 12145, 1480, 2551, 2208, 267, 15175, 547, 7791, 1648, 2959, 267, 19086, 2916, 1689, 267, 4227, 5779, 4616, 267, 543, 4259, 11735, 811, 2127, 585, 2067, 11091, 563, 3963, 568, 519, 2495, 540, 938, 1699, 5816, 2140, 281, 2806, 10407, 593, 513, 12389, 14136, 30867, 3404, 2096, 528, 517, 286, 634, 6609, 968, 29670, 14136, 892, 949, 21656, 938, 6263, 4541, 811, 19038, 569, 982, 1022, 824, 269, 700, 9281, 292, 568, 1459, 593, 3047, 547, 606, 6909, 6708, 269, 3683, 476, 279, 269, 278, 2929, 5094, 2249, 1519, 4630, 334, 18682, 16772, 723, 1044, 4857, 267, 855, 1082, 811, 2291, 2943, 796, 5035, 1881, 269, 1924, 2484, 607, 1634, 267, 540, 519, 17542, 540, 608, 26979, 1115, 4540, 538, 938, 1753, 14925, 543, 519, 30883, 650, 687, 540, 608, 26979, 1115, 538, 519, 3003, 7122, 267, 1152, 14136, 3047, 19299, 1272, 256, 634, 1480, 5198, 814, 25282, 1082, 3046, 8663, 545, 1797, 540, 2165, 3215, 1480, 1272, 1282, 6379, 269, 901, 568, 513, 13357, 540, 938, 2053, 563, 6781, 10407, 593, 513, 12389, 14136, 30867, 7621, 2096, 528, 517, 286, 769, 1018, 2631, 568, 519, 2165, 16377, 606, 3404, 2096, 528, 517, 888, 1607, 2165, 568, 3989, 676, 1034, 21594, 607, 968, 320, 4137, 540, 4633, 538, 799, 30137, 1913, 610, 2474, 2408, 538, 14966, 1848, 589, 1732, 2165, 949, 581, 968, 1706, 611, 2135, 281, 892, 519, 11685, 540, 2093, 610, 4798, 269, 1284, 1592, 1896, 1806, 875, 519, 2165, 968, 629, 10407, 892, 568, 4843, 538, 2318, 2474, 269, 2368, 4766, 3404, 2096, 528, 4577, 1893, 607, 513, 968, 22381, 27918, 552, 1575, 1335, 1143, 892, 538, 799, 649, 1451, 547, 3398, 519, 968, 684, 20459, 762, 1848, 3509, 605, 3734, 4961, 13498, 16377, 607, 513, 890, 329, 20753, 2165, 585, 12638, 269, 898, 568, 2653, 547, 13498, 16377, 607, 12638, 540, 606, 17608, 267, 27303, 267, 1799, 1155, 1480, 1373, 267, 2523, 950, 22266, 2409, 540, 16377, 723, 1044, 4330, 538, 519, 3332, 269, 1703, 723, 1044, 476, 8287, 2929, 1453, 538, 519, 7330, 2094, 519, 681, 4141, 642, 654, 1228, 3375, 540, 476, 3192, 274, 4171, 2729, 941, 2165, 3990, 676, 16377, 563, 2171, 1459, 1896, 1806, 540, 22269, 1790, 10107, 1893, 2474, 538, 1931, 547, 3765, 548, 611, 269, 630, 272, 264, 2806, 10407, 568, 513, 2339, 540, 968, 320, 4807, 779, 1318, 547, 3442, 1848, 1284, 1522, 2307, 1018, 1223, 581, 2942, 827, 968, 320, 4807, 779, 1318, 547, 3442, 9495, 1403, 519, 3903, 568, 1063, 7446, 2669, 936, 1272, 267, 972, 568, 1454, 547, 581, 9228, 607, 2942, 269, 630, 273, 264, 2806, 10407, 28837, 513, 968, 30513, 779, 1318, 547, 7834, 1848, 1403, 519, 6364, 540, 513, 4357, 2962, 2164, 538, 705, 915, 2800, 547, 1776, 3384, 1480, 1373, 267, 519, 2626, 568, 2312, 269, 769, 971, 2665, 16377, 2924, 616, 711, 21915, 26920, 547, 519, 1318, 547, 7834, 269, 630, 274, 264, 2806, 10407, 8031, 616, 26518, 607, 968, 1492, 2472, 540, 17748, 1848, 1717, 267, 9319, 519, 946, 540, 2474, 971, 607, 1990, 17789, 1774, 267, 21872, 267, 21565, 267, 610, 4816, 543, 3079, 1210, 513, 8360, 971, 607, 968, 1492, 2472, 540, 17748, 892, 3765, 10517, 637, 757, 6211, 5168, 563, 763, 29763, 814, 15748, 1272, 593, 3047, 267, 538, 1880, 267, 1480, 1272, 269, 769, 519, 2063, 476, 3583, 1296, 519, 9015, 540, 11095, 7350, 814, 1831, 1134, 1634, 269, 4437, 5505, 723, 12260, 539, 1082, 11580, 540, 1272, 3157, 689, 17748, 547, 519, 4332, 540, 20169, 1453, 269, 1284, 723, 1419, 11855, 27403, 689, 25360, 332, 476, 16928, 281, 1724, 268, 1626, 607, 513, 1821, 10899, 543, 3621, 6609, 540, 1480, 1646, 1354, 4332, 563, 18661, 568, 519, 8191, 543, 29763, 540, 1272, 269, 898, 568, 796, 20459, 762, 602, 1082, 3425, 1131, 3343, 547, 6861, 513, 1480, 1272, 2813, 676, 2696, 269, 769, 519, 2250, 3018, 1082, 605, 31547, 16377, 15628, 723, 1219, 5050, 569, 15653, 519, 5168, 602, 2696, 568, 519, 29763, 540, 1272, 3294, 269, 1358, 723, 11506, 741, 968, 2431, 892, 547, 1439, 513, 1480, 1272, 676, 16377, 936, 8497, 543, 7863, 519, 27803, 540, 1272, 3294, 269, 5274, 1272, 568, 513, 26832, 10143, 10516, 269, 634, 1764, 540, 1219, 5050, 569, 2165, 3215, 513, 3384, 1480, 1272, 538, 519, 27042, 568, 20494, 31773, 547, 519, 29763, 3564, 938, 2702, 547, 1174, 269, 0, 28257, 14180, 15906, 8294, 14180, 27755, 28405, 8294, 12022, 20901, 1496, 12626, 2639, 14180, 15906, 17262, 25078, 14180, 21333, 406, 363, 8294, 14180, 1496, 12626, 316, 406, 484, 30764, 17262, 21333, 20901, 1496, 12626, 2639, 4467, 7065, 25163, 568, 835, 540, 519, 1034, 1271, 4145, 540, 1870, 543, 2534, 538, 513, 6422, 543, 8013, 1604, 269, 769, 2487, 1296, 267, 6735, 814, 1044, 6069, 607, 606, 2804, 1523, 7133, 519, 4264, 1646, 540, 519, 9235, 543, 2951, 2872, 630, 289, 23750, 1696, 620, 1421, 476, 1220, 280, 1040, 15232, 814, 3254, 602, 16382, 9235, 568, 2919, 1510, 513, 2312, 1544, 543, 4640, 267, 3875, 2825, 543, 1514, 2042, 8451, 543, 538, 519, 1279, 942, 267, 519, 2042, 540, 9235, 29387, 519, 2640, 269, 4340, 547, 20648, 267, 9459, 568, 19486, 20870, 538, 519, 1158, 538, 2474, 540, 15805, 18845, 267, 1813, 547, 922, 3504, 10340, 543, 1082, 3140, 20375, 543, 2686, 5991, 1823, 18845, 269, 6736, 519, 22820, 538, 9235, 538, 2487, 1296, 267, 9459, 814, 711, 2943, 1336, 922, 1697, 1747, 538, 519, 3486, 9235, 5823, 267, 1247, 972, 616, 1114, 543, 3309, 2127, 547, 14526, 538, 9235, 543, 1646, 540, 9235, 538, 713, 2197, 630, 2704, 328, 752, 321, 926, 1696, 620, 1421, 476, 1001, 276, 1040, 808, 6504, 320, 814, 1082, 3407, 3140, 543, 2686, 18845, 543, 1813, 547, 922, 10923, 4087, 666, 581, 513, 18302, 8905, 585, 5215, 540, 7489, 543, 3864, 14666, 269, 808, 5285, 320, 3148, 814, 519, 1761, 12588, 547, 14526, 609, 824, 9235, 32387, 538, 519, 2197, 269, 1924, 267, 621, 568, 1271, 547, 2697, 519, 2188, 602, 1291, 547, 2810, 519, 5383, 543, 5355, 519, 2990, 540, 713, 15805, 10278, 269, 25613, 16040, 267, 7114, 971, 2188, 786, 1291, 547, 7114, 14422, 585, 9235, 1646, 543, 2104, 4058, 538, 519, 3148, 269, 2290, 540, 519, 2409, 1031, 538, 7580, 4058, 568, 519, 26426, 4149, 310, 5588, 1505, 269, 26426, 4149, 310, 5588, 568, 606, 27808, 23302, 7580, 4058, 1935, 602, 2337, 721, 547, 14526, 609, 15712, 538, 519, 2104, 676, 7114, 543, 10442, 938, 6735, 609, 1866, 543, 676, 7114, 519, 2200, 543, 7207, 540, 519, 1604, 543, 1689, 938, 2804, 10665, 610, 1455, 6990, 609, 15712, 538, 938, 3870, 630, 288, 329, 5633, 1744, 32634, 2129, 328, 1696, 620, 1421, 476, 1001, 279, 1040, 901, 1353, 12116, 543, 27786, 519, 6237, 28211, 538, 9235, 1646, 4058, 609, 2244, 14025, 4058, 1935, 538, 808, 6504, 320, 269, 1488, 553, 1863, 7997, 630, 297, 6504, 320, 264, 568, 3379, 609, 476, 277, 824, 1863, 10851, 630, 298, 880, 267, 1627, 21983, 332, 267, 932, 629, 1695, 541, 267, 1488, 341, 663, 267, 1323, 345, 8932, 543, 25120, 5622, 264, 538, 2474, 540, 9235, 1646, 543, 28211, 269, 4475, 267, 519, 3483, 540, 713, 1353, 568, 547, 8495, 543, 4225, 519, 2188, 7133, 519, 28211, 540, 18353, 538, 808, 6504, 320, 563, 1607, 1382, 568, 4294, 538, 2474, 540, 3483, 543, 10855, 12845, 3315, 3749, 538, 2474, 540, 519, 2470, 540, 519, 1641, 269, 769, 519, 1459, 1353, 267, 519, 1239, 543, 1344, 941, 5833, 998, 17245, 543, 5399, 2090, 543, 2361, 2409, 630, 23896, 3534, 2231, 543, 11042, 1040, 634, 8579, 2551, 585, 11264, 519, 18102, 543, 10647, 11042, 616, 9235, 4966, 543, 12665, 543, 519, 6777, 4252, 10386, 1505, 814, 1044, 1031, 269, 634, 26426, 4149, 310, 5588, 2203, 814, 1044, 1031, 547, 5659, 1344, 543, 1459, 519, 9235, 1646, 2994, 538, 808, 6504, 320, 269, 634, 1353, 1858, 568, 808, 6504, 320, 267, 799, 568, 4092, 538, 32720, 9459, 543, 11105, 547, 18433, 807, 267, 29494, 13568, 543, 519, 715, 12112, 577, 23186, 269, 769, 713, 1353, 267, 3670, 1863, 4123, 10851, 540, 918, 880, 267, 1627, 21983, 332, 267, 932, 629, 1695, 541, 267, 1323, 345, 8932, 267, 1488, 341, 663, 543, 25120, 5622, 723, 1044, 2808, 607, 15712, 540, 1488, 553, 1863, 7997, 630, 297, 6504, 320, 1916, 24342, 543, 4901, 454, 2414, 2708, 6237, 28211, 538, 9235, 1646, 4058, 267, 2200, 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, 303, 4637, 543, 12647, 616, 1312, 4703, 540, 1216, 267, 855, 972, 616, 930, 3982, 3604, 1063, 873, 269, 623, 4637, 616, 2356, 4130, 543, 4927, 1077, 982, 12647, 269, 1358, 616, 849, 3335, 10480, 676, 513, 2582, 2707, 540, 1216, 267, 971, 607, 513, 6908, 610, 5614, 269, 623, 4637, 4043, 547, 723, 1447, 7320, 982, 12647, 1813, 547, 741, 1507, 2450, 269, 3958, 267, 22253, 616, 811, 2693, 547, 581, 812, 13402, 982, 12647, 563, 299, 1389, 267, 593, 519, 824, 1688, 267, 616, 1454, 3677, 543, 4514, 982, 22253, 269, 1358, 616, 2356, 10480, 676, 2789, 2959, 267, 971, 607, 8933, 543, 12535, 269, 20463, 849, 4043, 547, 723, 513, 9962, 3099, 540, 7320, 267, 607, 789, 616, 2111, 547, 1489, 513, 3152, 4763, 540, 3165, 543, 2371, 269, 3958, 267, 12647, 616, 6923, 9648, 2934, 267, 2813, 676, 17027, 3157, 971, 607, 27224, 5250, 269, 0, 10907, 15064, 2871, 527, 1513, 616, 2139, 538, 513, 3099, 540, 1114, 7306, 269, 1358, 616, 2139, 538, 513, 23487, 333, 4381, 2450, 543, 538, 513, 808, 636, 2692, 2511, 1932, 269, 1809, 952, 972, 568, 513, 13176, 799, 13352, 4010, 538, 519, 1647, 540, 519, 7887, 1826, 540, 17974, 13176, 543, 519, 10545, 1826, 267, 621, 568, 519, 1612, 3271, 269, 898, 779, 942, 547, 2736, 519, 31605, 602, 930, 1004, 723, 827, 519, 2450, 540, 3474, 3271, 1368, 527, 1513, 269, 1358, 5749, 1406, 519, 10545, 1826, 540, 1368, 527, 1513, 2139, 538, 519, 2344, 269, 18004, 538, 519, 3735, 476, 866, 628, 2540, 267, 1612, 3271, 1368, 527, 1513, 941, 2356, 2442, 585, 12563, 543, 21462, 2575, 585, 811, 982, 513, 4627, 1296, 269, 7591, 539, 676, 1169, 1826, 540, 6345, 267, 3474, 3271, 814, 606, 10373, 2179, 540, 8560, 538, 14987, 269, 898, 1522, 581, 1317, 540, 519, 14949, 2557, 693, 799, 789, 616, 2139, 982, 23487, 333, 2795, 1206, 610, 808, 636, 2692, 1368, 527, 1513, 563, 1103, 476, 1001, 274, 267, 513, 8225, 16106, 18281, 16874, 7615, 1500, 1686, 676, 7900, 6611, 744, 9536, 640, 593, 513, 1612, 3271, 13176, 269, 634, 3381, 17157, 729, 9676, 2661, 689, 519, 4139, 6611, 13749, 543, 519, 3381, 4682, 10194, 269, 700, 1551, 643, 19902, 267, 519, 10672, 540, 602, 1612, 3271, 13176, 3893, 519, 1655, 32398, 540, 782, 942, 269, 2913, 779, 4685, 883, 519, 1686, 540, 3474, 3271, 1368, 527, 1513, 547, 917, 875, 713, 13176, 3357, 883, 6228, 563, 1432, 568, 513, 3474, 3271, 2871, 10560, 286, 1107, 589, 16684, 3778, 454, 13640, 3271, 13176, 568, 513, 1507, 17974, 13176, 602, 3357, 547, 23146, 1063, 519, 1296, 476, 5197, 271, 543, 476, 5002, 271, 269, 9521, 513, 8106, 13176, 267, 621, 814, 5374, 12673, 269, 6271, 1448, 602, 2306, 513, 3474, 3271, 2871, 10560, 2189, 568, 602, 621, 3357, 856, 540, 513, 3864, 1374, 3079, 540, 519, 2757, 5053, 1374, 563, 6624, 1004, 3494, 602, 519, 1612, 3271, 13176, 779, 1507, 2450, 538, 547, 5225, 519, 2021, 5716, 543, 1762, 3283, 269, 634, 5168, 568, 602, 519, 1368, 527, 1513, 540, 1346, 2053, 941, 1454, 4130, 982, 2221, 779, 1368, 527, 1513, 269, 901, 568, 7654, 1813, 547, 519, 4720, 689, 519, 13974, 21092, 561, 1393, 269, 898, 729, 711, 2394, 476, 4489, 277, 602, 519, 23487, 333, 4454, 2450, 17774, 3166, 563, 763, 8560, 540, 519, 3474, 3271, 13176, 4797, 547, 1332, 538, 519, 2136, 2276, 543, 1831, 513, 1804, 851, 540, 3013, 269, 5221, 519, 1353, 540, 2575, 729, 1152, 585, 18544, 267, 519, 1906, 16805, 1647, 11665, 5159, 2356, 5129, 585, 741, 29123, 563, 13640, 3271, 2871, 10560, 3893, 922, 2012, 538, 3013, 607, 519, 13176, 585, 513, 1455, 1268, 269, 901, 1007, 17069, 626, 2070, 540, 2575, 4847, 1312, 2367, 543, 2021, 547, 1353, 267, 1404, 267, 543, 4001, 519, 13176, 269, 898, 729, 849, 513, 4990, 540, 5191, 540, 3450, 543, 7900, 585, 2021, 540, 602, 942, 563, 2005, 568, 827, 519, 2575, 543, 3280, 540, 519, 6293, 269, 3474, 3271, 2871, 10560, 779, 2012, 6402, 609, 513, 1612, 3271, 2575, 2245, 602, 3884, 1406, 6101, 12563, 2575, 269, 1717, 267, 11518, 9445, 715, 3019, 534, 986, 2812, 1996, 713, 2856, 19163, 602, 519, 3864, 6561, 540, 1612, 3271, 2575, 543, 6101, 1353, 4412, 8215, 519, 13176, 547, 922, 1967, 269, 634, 1612, 3271, 2245, 729, 711, 1152, 6594, 538, 3013, 855, 849, 729, 14831, 3585, 9565, 538, 1977, 2486, 269, 3474, 3271, 4053, 5974, 6594, 543, 5340, 693, 1585, 5578, 2157, 269, 4634, 1453, 941, 6026, 543, 9415, 547, 1404, 543, 2206, 2059, 609, 519, 2575, 563, 22102, 18190, 2871, 527, 1513, 12411, 639, 715, 14125, 21642, 3474, 3271, 2871, 527, 1513, 454, 22102, 8106, 1368, 527, 1513, 616, 26987, 16365, 8747, 540, 741, 3044, 13355, 13413, 269, 1280, 1383, 267, 952, 972, 568, 513, 2754, 602, 814, 1500, 930, 2871, 10560, 2203, 2473, 269, 1656, 602, 13176, 2203, 2473, 568, 1932, 9126, 4445, 585, 5716, 540, 513, 1978, 2085, 547, 4163, 269, 634, 1482, 2754, 2501, 909, 609, 513, 4130, 4528, 540, 713, 2203, 2473, 267, 547, 14183, 519, 1808, 2085, 1895, 602, 9060, 519, 13176, 1932, 9126, 4445, 547, 4163, 269, 2871, 527, 1513, 602, 1246, 519, 1482, 3337, 267, 1628, 543, 2511, 609, 519, 1152, 3017, 1373, 519, 4130, 7403, 616, 4130, 1368, 527, 1513, 269, 634, 3803, 1267, 568, 513, 3159, 2147, 547, 3044, 2450, 8106, 1368, 527, 1513, 855, 14758, 3280, 16879, 269, 476, 278, 270, 279, 543, 476, 274, 270, 275, 8106, 1368, 527, 1513, 2887, 896, 713, 7121, 543, 616, 2442, 585, 14987, 543, 3978, 1053, 540, 519, 6293, 563, 5445, 5749, 1406, 1500, 1739, 519, 3337, 540, 1022, 824, 2139, 23487, 333, 4381, 610, 808, 636, 2692, 2203, 269, 1358, 1246, 519, 11741, 1374, 540, 968, 1706, 3271, 892, 7405, 689, 519, 2038, 476, 5002, 271, 338, 269, 1452, 616, 11741, 7405, 602, 723, 811, 14733, 1647, 12451, 543, 616, 811, 6899, 547, 4163, 1472, 269, 634, 4998, 568, 547, 1118, 10544, 7146, 30559, 7405, 602, 666, 581, 2451, 593, 519, 4172, 577, 610, 593, 513, 1796, 269, 17859, 540, 707, 13283, 267, 596, 786, 1265, 513, 3474, 3271, 602, 17015, 707, 6578, 543, 2511, 563, 13640, 3271, 1368, 527, 1513, 616, 1634, 547, 723, 513, 4216, 344, 3159, 269, 898, 568, 713, 3159, 602, 2306, 3474, 3271, 2871, 10560, 26729, 538, 1585, 11964, 540, 2575, 602, 7569, 811, 16982, 269, 2349, 1132, 543, 27227, 2575, 540, 519, 476, 3199, 338, 543, 476, 3445, 338, 616, 606, 1383, 540, 11964, 602, 2154, 971, 513, 3159, 563, 12218, 673, 1368, 527, 1513, 616, 1634, 547, 723, 513, 5857, 704, 3159, 982, 3474, 3271, 2871, 527, 1513, 798, 269, 1358, 798, 711, 8209, 723, 513, 14758, 6949, 908, 3280, 982, 513, 3474, 3271, 2871, 10560, 269, 13474, 2575, 267, 27164, 21305, 267, 4224, 267, 543, 5066, 616, 930, 540, 519, 11964, 602, 18190, 1368, 527, 1513, 616, 811, 23163, 563, 8253, 762, 4053, 5974, 5808, 4076, 13242, 3474, 3271, 2871, 527, 1513, 454, 2791, 723, 2907, 6956, 281, 1548, 568, 513, 1612, 3271, 13176, 286, 4706, 942, 547, 2911, 827, 1346, 945, 23507, 519, 4070, 563, 7212, 267, 24903, 513, 3474, 3271, 2871, 10560, 568, 711, 607, 13416, 607, 513, 23487, 333, 4381, 13176, 269, 1358, 723, 513, 1686, 543, 3136, 547, 581, 2938, 593, 930, 540, 519, 7887, 5933, 543, 19827, 563, 268, 634, 5053, 674, 663, 24546, 676, 8361, 1937, 337, 718, 568, 835, 540, 519, 1906, 1612, 3271, 13176, 8964, 602, 15068, 547, 713, 2413, 2085, 269, 634, 5152, 568, 1869, 5129, 676, 1082, 12021, 13176, 1235, 5001, 563, 268, 7917, 9652, 666, 24903, 581, 11331, 607, 968, 1492, 1034, 2442, 13176, 626, 945, 29937, 539, 513, 1612, 3271, 16654, 13176, 1848, 11635, 1227, 267, 646, 7012, 1406, 20749, 3811, 538, 1010, 10715, 269, 3571, 4730, 2511, 568, 1634, 547, 723, 3310, 2442, 13176, 1235, 899, 18238, 1849, 2194, 517, 267, 21862, 773, 14105, 966, 2795, 333, 267, 3627, 2904, 518, 543, 1082, 811, 269, 769, 1010, 2442, 5152, 9061, 5802, 267, 646, 814, 5129, 3474, 3271, 2871, 10560, 2429, 519, 5152, 563, 268, 1977, 12563, 22256, 29315, 645, 2801, 345, 1904, 539, 547, 946, 513, 1612, 3271, 13176, 538, 513, 942, 950, 23487, 333, 965, 1206, 941, 13416, 269, 2701, 4682, 593, 547, 1831, 835, 540, 519, 1034, 2442, 4775, 12563, 2206, 619, 540, 1200, 942, 269, 2701, 5030, 609, 2947, 543, 513, 3368, 5756, 4502, 540, 12644, 543, 476, 1789, 11549, 4548, 269, 6787, 621, 729, 3312, 8964, 610, 6227, 267, 1200, 1612, 3271, 13176, 3177, 513, 2189, 3159, 602, 9985, 20083, 1200, 5639, 563, 268, 28644, 532, 547, 519, 476, 2641, 560, 2540, 267, 1402, 5159, 899, 3798, 2701, 518, 534, 267, 13177, 27997, 267, 543, 3627, 2904, 518, 723, 1031, 3474, 3271, 2871, 527, 1513, 269, 3627, 2904, 518, 1500, 519, 6467, 547, 1612, 3271, 1368, 527, 1513, 689, 1010, 8912, 23487, 333, 965, 1206, 543, 744, 16039, 269, 1261, 2322, 1010, 4408, 820, 1612, 3271, 13176, 547, 1434, 946, 676, 1603, 543, 7900, 1082, 540, 1010, 1007, 8964, 593, 873, 269, 634, 21462, 4528, 540, 23985, 899, 9986, 14746, 676, 3627, 2904, 518, 20502, 15813, 543, 1134, 32472, 1612, 3271, 13176, 7900, 21462, 6512, 4259, 563, 1432, 568, 513, 3474, 3271, 2871, 10560, 286, 1107, 12085, 547, 6733, 585, 454, 288, 2182, 6229, 8405, 568, 519, 1101, 3364, 1413, 547, 856, 585, 538, 513, 1612, 3271, 13176, 269, 634, 8405, 540, 513, 3474, 3271, 2115, 547, 581, 1360, 2786, 585, 519, 1655, 2164, 269, 634, 1560, 2511, 786, 1832, 593, 4657, 11014, 689, 2203, 547, 2203, 269, 1924, 952, 596, 616, 1310, 513, 1612, 3271, 6273, 2203, 267, 1287, 3343, 513, 13176, 609, 922, 11599, 17114, 563, 29613, 958, 267, 596, 1616, 513, 4396, 1560, 1283, 585, 1732, 3280, 543, 16879, 269, 634, 1954, 1206, 1058, 581, 9788, 8308, 543, 6659, 2614, 547, 1404, 16022, 569, 269, 4746, 267, 789, 1058, 711, 581, 865, 1454, 865, 602, 789, 1831, 17672, 547, 5347, 9491, 1359, 269, 2290, 1058, 1904, 585, 606, 28253, 959, 1380, 11425, 1141, 2139, 865, 602, 596, 666, 4188, 519, 2962, 547, 9290, 3283, 4730, 563, 3080, 3364, 602, 779, 2565, 827, 3474, 3271, 2871, 10560, 568, 922, 25122, 12227, 269, 634, 12673, 991, 741, 8082, 547, 581, 6854, 267, 1498, 789, 786, 12701, 936, 942, 269, 634, 8405, 3574, 786, 3636, 543, 3579, 689, 942, 547, 942, 267, 865, 789, 949, 991, 519, 17573, 16369, 269, 1280, 713, 2601, 267, 596, 1616, 7113, 619, 609, 24039, 602, 4183, 5386, 1213, 906, 865, 602, 596, 666, 19820, 811, 8308, 563, 300, 13926, 24039, 948, 547, 3180, 519, 5569, 811, 17401, 269, 5047, 267, 789, 849, 2327, 602, 519, 5569, 568, 6109, 538, 1747, 269, 4495, 789, 723, 12306, 538, 267, 513, 1434, 1305, 540, 25122, 9843, 1058, 1832, 7168, 7453, 12334, 269, 16593, 2685, 267, 789, 1810, 1406, 1205, 5679, 18088, 827, 4657, 13497, 1510, 3833, 513, 3787, 540, 4674, 269, 1306, 609, 1022, 6293, 267, 713, 1630, 2812, 1524, 547, 519, 5663, 2298, 3294, 269, 634, 2298, 540, 519, 2326, 1031, 267, 543, 519, 6578, 596, 723, 538, 2247, 1404, 606, 1271, 1909, 563, 5825, 783, 14716, 540, 513, 3474, 3271, 2871, 10560, 912, 308, 2955, 519, 4070, 267, 596, 666, 1265, 856, 1018, 568, 513, 1612, 3271, 13176, 543, 875, 568, 621, 1114, 689, 1866, 888, 763, 1283, 3903, 585, 519, 3068, 270, 9008, 3574, 540, 1612, 3271, 1368, 527, 1513, 814, 1044, 4396, 23063, 6390, 838, 16078, 269, 898, 779, 15951, 593, 5920, 543, 593, 875, 2673, 519, 10286, 568, 1927, 269, 589, 1906, 9755, 723, 4603, 539, 609, 4396, 30652, 690, 1415, 25568, 267, 799, 5749, 1406, 607, 10978, 269, 1452, 1683, 519, 1413, 540, 513, 8106, 13176, 269, 4634, 1498, 519, 524, 25729, 31795, 6244, 1612, 3271, 814, 5374, 12673, 269, 634, 20772, 568, 602, 596, 3580, 9416, 335, 1157, 873, 547, 1205, 519, 1655, 946, 540, 519, 29099, 3638, 3159, 269, 1403, 596, 616, 513, 16994, 20626, 540, 1368, 527, 1513, 267, 621, 949, 2097, 547, 707, 5469, 602, 524, 25729, 31795, 6244, 1612, 3271, 1368, 527, 1513, 723, 1100, 4584, 28621, 731, 269, 2334, 13071, 519, 524, 25729, 5854, 622, 811, 11884, 267, 543, 4890, 13176, 1235, 3592, 2760, 2731, 991, 519, 4584, 31384, 19037, 563, 28049, 16654, 18190, 1368, 527, 1513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21211, 23946, 499, 28578, 23989, 13127, 377, 365, 29830, 485, 418, 496, 511, 418, 498, 378, 476, 28578, 22287, 364, 420, 489, 365, 24757, 21211, 23946, 499, 8080, 547, 476, 1015, 3764, 540, 5010, 268, 1863, 1699, 2621, 269, 594, 319, 332, 14161, 10897, 15120, 585, 23711, 22295, 7728, 21832, 306, 269, 16593, 707, 13628, 568, 2469, 1134, 269, 1284, 319, 516, 4358, 538, 16850, 269, 634, 3510, 538, 713, 5664, 8109, 2197, 568, 519, 1158, 26141, 4102, 19493, 6433, 269, 2334, 26141, 2687, 547, 519, 772, 2529, 269, 6239, 11106, 10837, 269, 25569, 338, 540, 5215, 540, 1004, 723, 1044, 7166, 538, 16850, 26141, 5571, 3540, 10617, 267, 3323, 538, 476, 1001, 272, 269, 2859, 982, 476, 1556, 2929, 723, 19679, 741, 5321, 269, 1656, 519, 4959, 3041, 22681, 1895, 267, 799, 6499, 547, 1711, 922, 1378, 2197, 267, 814, 3144, 936, 1804, 2694, 540, 16850, 269, 27933, 3388, 602, 26141, 2469, 593, 267, 4959, 3041, 568, 21006, 8978, 13742, 269, 634, 7332, 17740, 1218, 723, 3144, 2832, 693, 1082, 882, 923, 602, 5749, 319, 339, 2404, 609, 7332, 2528, 269, 1358, 5063, 23689, 513, 26219, 7548, 945, 15189, 547, 32410, 547, 4959, 3041, 543, 547, 2995, 873, 1141, 1978, 18840, 1670, 16782, 616, 538, 519, 26219, 2749, 540, 6022, 3240, 571, 269, 1261, 7012, 319, 339, 519, 1152, 26219, 25678, 21108, 1010, 10315, 26141, 13742, 269, 901, 568, 519, 4099, 12328, 538, 519, 2295, 540, 519, 26219, 4165, 1172, 885, 12080, 26141, 3646, 547, 4688, 713, 2197, 26141, 2686, 6561, 267, 540, 1576, 267, 538, 713, 942, 540, 519, 3540, 2112, 269, 1548, 596, 666, 1294, 1934, 568, 891, 13538, 1934, 616, 17048, 5224, 1507, 4773, 4534, 649, 666, 1413, 693, 873, 4534, 540, 13742, 602, 723, 1044, 1336, 538, 1585, 4025, 1934, 538, 519, 2197, 269, 2986, 1576, 267, 930, 540, 873, 538, 4025, 602, 616, 1631, 6417, 676, 4959, 3041, 269, 3767, 267, 782, 540, 873, 616, 2469, 547, 1205, 513, 1297, 267, 543, 1287, 19952, 267, 1018, 26141, 2469, 547, 4755, 568, 789, 319, 516, 2469, 547, 979, 547, 519, 6728, 936, 1934, 1141, 596, 666, 1294, 602, 782, 891, 4773, 616, 13227, 1117, 269, 1656, 519, 11570, 1934, 723, 2907, 2944, 606, 5863, 2179, 540, 960, 269, 1358, 319, 557, 17048, 4240, 811, 982, 476, 5611, 267, 1822, 4773, 2907, 267, 476, 3374, 267, 1822, 540, 1346, 689, 519, 6022, 3240, 571, 1858, 4805, 269, 1924, 267, 789, 319, 557, 1044, 2324, 513, 2603, 543, 896, 1360, 2352, 2175, 267, 1317, 891, 2679, 1934, 814, 3144, 27341, 21448, 538, 519, 2250, 269, 1703, 723, 1044, 3744, 689, 713, 2679, 602, 723, 1044, 7166, 543, 2943, 519, 11570, 2097, 1934, 3592, 1169, 1554, 547, 3136, 713, 960, 269, 6423, 952, 596, 666, 9517, 803, 269, 594, 319, 332, 513, 1216, 30320, 7623, 1336, 538, 1082, 2371, 269, 594, 319, 332, 513, 1895, 540, 2241, 11950, 543, 1250, 1034, 1455, 1106, 568, 7319, 13427, 269, 594, 319, 332, 4006, 267, 6923, 13939, 689, 10931, 2117, 2033, 543, 4006, 19273, 543, 594, 319, 332, 7168, 6653, 269, 589, 11786, 11556, 7282, 4006, 269, 898, 2501, 689, 519, 772, 2529, 269, 5253, 543, 10684, 10029, 267, 799, 18246, 519, 3106, 543, 21458, 540, 519, 3536, 4892, 3548, 269, 898, 6499, 1007, 6484, 10297, 547, 5693, 1397, 519, 3773, 14836, 538, 3536, 269, 1284, 319, 516, 711, 6158, 827, 1018, 26141, 6923, 9648, 538, 5613, 585, 3236, 267, 855, 875, 1082, 10101, 540, 4006, 1426, 15670, 1039, 547, 602, 269, 634, 15111, 6499, 519, 5227, 1871, 585, 519, 3328, 2937, 547, 581, 476, 2004, 10101, 540, 3773, 14836, 269, 634, 4006, 7681, 799, 4564, 930, 2101, 772, 2529, 269, 4006, 12696, 1727, 4680, 713, 269, 898, 3081, 519, 3621, 2963, 1031, 538, 519, 15111, 781, 8192, 4808, 568, 3908, 543, 4617, 267, 543, 602, 621, 3085, 319, 339, 2743, 519, 15111, 781, 1378, 3621, 4441, 269, 634, 15111, 15565, 476, 4968, 10101, 540, 19719, 513, 1554, 267, 476, 273, 269, 275, 540, 9770, 543, 476, 4792, 585, 3170, 269, 1809, 4006, 286, 594, 723, 1100, 2856, 267, 543, 602, 26141, 4440, 1317, 519, 2872, 3085, 319, 339, 1616, 803, 547, 269, 594, 1224, 6484, 10297, 269, 20290, 782, 5567, 723, 513, 2600, 3232, 1871, 602, 3947, 6800, 513, 13452, 6529, 585, 875, 1454, 789, 1058, 581, 4189, 610, 6704, 269, 17491, 6763, 856, 1317, 621, 3085, 319, 339, 723, 835, 269, 5221, 519, 1426, 2872, 10692, 1996, 621, 269, 634, 4006, 2872, 568, 1360, 1434, 693, 21458, 543, 1360, 267, 1360, 1434, 693, 3478, 1018, 621, 6499, 269, 634, 4006, 2872, 814, 6170, 693, 2547, 1269, 7918, 2929, 25211, 532, 2094, 476, 1220, 280, 269, 590, 18649, 543, 20892, 3549, 267, 1134, 267, 789, 6170, 1269, 13647, 2929, 8165, 3800, 899, 4006, 9204, 1282, 519, 1482, 1974, 269, 9406, 1631, 267, 519, 2872, 6499, 519, 5313, 5253, 543, 10684, 10029, 547, 6749, 11556, 585, 21458, 4006, 269, 634, 8116, 14659, 519, 3773, 1344, 786, 2965, 25339, 519, 3328, 1977, 689, 4189, 811, 982, 476, 2004, 10101, 540, 4006, 513, 1554, 269, 4107, 4892, 3548, 7466, 2179, 540, 4006, 982, 713, 1880, 1698, 269, 1656, 4892, 5749, 319, 339, 22536, 3151, 593, 4829, 269, 1358, 319, 516, 3478, 1164, 593, 3773, 4006, 269, 1284, 319, 516, 711, 1175, 6158, 14614, 543, 4672, 8645, 4534, 11337, 577, 1575, 269, 9050, 10101, 540, 4006, 829, 26486, 269, 6428, 611, 19703, 267, 16603, 14036, 267, 1256, 24799, 602, 616, 30630, 607, 2635, 269, 2334, 1797, 713, 568, 476, 2190, 2600, 267, 513, 10116, 267, 540, 519, 2179, 540, 4006, 602, 596, 319, 516, 4847, 547, 723, 585, 606, 3003, 1554, 269, 22500, 23238, 269, 21060, 10433, 814, 607, 1454, 4006, 538, 621, 607, 513, 2571, 4235, 269, 1656, 875, 827, 713, 835, 286, 29968, 269, 1809, 594, 1413, 1934, 267, 10568, 267, 7912, 267, 5798, 4534, 4006, 568, 519, 3791, 12146, 269, 1924, 267, 1169, 835, 540, 891, 814, 476, 1015, 2600, 540, 519, 1554, 26141, 4006, 28286, 618, 269, 594, 914, 789, 319, 516, 8949, 269, 23738, 24312, 267, 596, 666, 723, 513, 7484, 540, 713, 267, 513, 7484, 540, 713, 267, 513, 23188, 540, 602, 267, 713, 267, 513, 7484, 540, 713, 267, 7937, 267, 11613, 269, 25999, 269, 594, 1611, 267, 3362, 267, 1318, 286, 2060, 1100, 8373, 693, 782, 269, 1924, 267, 602, 26141, 1946, 1426, 3549, 616, 865, 10353, 547, 2348, 713, 3232, 1871, 593, 519, 1426, 6003, 1317, 789, 917, 602, 5561, 786, 581, 28280, 950, 789, 1294, 875, 1454, 4006, 972, 568, 538, 2472, 1141, 789, 1522, 723, 16143, 269, 3245, 938, 834, 305, 3326, 11910, 257, 7662, 2985, 693, 23711, 22923, 21158, 2593, 4534, 13244, 3171, 4168, 3427, 568, 8384, 713, 13628, 269, 769, 3752, 3570, 16047, 267, 4993, 267, 1413, 909, 547, 519, 661, 24346, 269, 1677, 519, 772, 2529, 269, 2295, 1633, 267, 538, 2961, 628, 720, 267, 16713, 267, 519, 570, 22061, 616, 593, 519, 21786, 331, 269, 6153, 547, 1294, 2961, 628, 720, 4400, 3427, 269, 1656, 585, 519, 1101, 942, 538, 938, 834, 305, 3326, 11910, 2580, 649, 319, 516, 9683, 27597, 267, 538, 519, 3854, 540, 29246, 11732, 269, 28982, 547, 519, 1977, 4139, 3427, 540, 29246, 11732, 634, 834, 305, 3326, 11910, 257, 568, 513, 4960, 585, 707, 1153, 547, 1205, 6444, 593, 23711, 22295, 7728, 21832, 306, 269, 1703, 26141, 835, 1747, 1141, 596, 1413, 585, 707, 7662, 269, 3962, 1554, 26141, 13973, 2985, 693, 23711, 22923, 21158, 2593, 269, 3807, 4945, 519, 1913, 602, 2161, 834, 305, 3326, 11910, 2668, 1284, 9307, 3506, 689, 782, 936, 519, 1158, 267, 855, 596, 319, 557, 3893, 547, 581, 693, 2547, 476, 1724, 1296, 2025, 547, 1118, 513, 7662, 269, 2290, 6085, 829, 1554, 267, 5329, 519, 28417, 2476, 267, 568, 519, 1259, 547, 979, 547, 1205, 538, 938, 1397, 269, 634, 1715, 21222, 517, 14361, 814, 14612, 585, 811, 982, 8370, 1296, 267, 8720, 936, 476, 274, 5479, 5195, 547, 2285, 721, 938, 14191, 2070, 2943, 540, 32624, 269, 5487, 684, 3481, 5130, 476, 866, 628, 267, 476, 1220, 277, 689, 15729, 2052, 11232, 531, 267, 519, 14440, 13355, 14361, 568, 519, 1101, 547, 3643, 519, 476, 5390, 1158, 4362, 811, 982, 476, 3199, 344, 8986, 3516, 269, 1879, 31485, 595, 569, 1372, 570, 4861, 2795, 1101, 4718, 32624, 593, 5988, 476, 1240, 628, 267, 476, 4350, 271, 267, 646, 1152, 4718, 513, 22942, 540, 1769, 269, 570, 4861, 2795, 729, 1210, 519, 1655, 2029, 646, 1185, 4534, 513, 16263, 693, 8899, 749, 25076, 538, 25035, 560, 3530, 267, 14151, 269, 18044, 4464, 547, 476, 1960, 275, 267, 519, 26931, 2230, 16263, 13735, 1164, 1657, 3047, 26141, 5790, 2879, 11474, 713, 3239, 540, 32624, 543, 922, 17439, 4554, 7599, 4077, 517, 269, 3973, 267, 538, 476, 1960, 277, 267, 26931, 5795, 721, 713, 269, 589, 24463, 540, 2592, 2879, 11474, 1063, 476, 1220, 273, 543, 476, 1220, 274, 729, 19632, 538, 476, 1001, 271, 547, 2285, 721, 519, 1034, 2143, 2070, 540, 32624, 693, 602, 942, 269, 32624, 3884, 319, 339, 519, 3803, 10278, 585, 519, 1715, 21222, 517, 6611, 8154, 269, 634, 16785, 786, 1832, 10760, 543, 4514, 883, 2230, 547, 2263, 513, 3148, 3744, 1589, 568, 4904, 609, 7366, 540, 1507, 476, 5390, 3615, 269, 2986, 1576, 267, 2230, 3408, 3085, 319, 339, 4755, 10464, 569, 269, 8331, 3081, 519, 1715, 21222, 517, 26141, 5692, 3790, 827, 1269, 10384, 2929, 267, 799, 568, 827, 513, 1647, 540, 519, 4155, 3902, 585, 13485, 538, 938, 3859, 1062, 269, 1548, 621, 2366, 1394, 4534, 1018, 5526, 547, 581, 513, 8038, 1478, 540, 519, 32624, 267, 19497, 1634, 607, 513, 4541, 269, 12207, 2161, 891, 616, 10239, 602, 4473, 827, 607, 1164, 936, 32624, 607, 519, 27743, 15142, 798, 538, 519, 7262, 772, 2529, 269, 634, 1715, 21222, 517, 14361, 729, 827, 476, 278, 267, 10384, 5195, 2476, 689, 32624, 26141, 2627, 950, 621, 6592, 891, 2592, 269, 8331, 3081, 621, 786, 1491, 811, 982, 513, 1032, 547, 4647, 782, 519, 1344, 10356, 676, 519, 14361, 593, 713, 8038, 2421, 269, 2290, 824, 3364, 8331, 568, 21528, 538, 267, 11608, 267, 543, 711, 1175, 519, 2186, 602, 2263, 9370, 267, 519, 2186, 602, 6370, 593, 3618, 269, 2290, 540, 519, 3283, 596, 319, 516, 7487, 1934, 568, 3710, 676, 631, 9298, 289, 1824, 269, 898, 26141, 513, 2754, 602, 2306, 17254, 4842, 8165, 11608, 609, 23773, 9604, 267, 899, 513, 5862, 3440, 666, 12061, 269, 634, 2754, 5063, 13934, 513, 2147, 835, 689, 3567, 547, 513, 9649, 8773, 4339, 269, 631, 9298, 289, 1824, 568, 3843, 547, 6318, 3368, 513, 2929, 9489, 585, 513, 8273, 267, 3983, 1457, 267, 12050, 518, 8165, 3684, 269, 1924, 267, 596, 666, 1294, 1018, 789, 319, 516, 782, 513, 268, 13681, 582, 269, 4024, 713, 6521, 2029, 883, 606, 7357, 1007, 10591, 267, 2870, 513, 2577, 5209, 540, 11655, 267, 10451, 606, 3678, 26293, 540, 1719, 286, 898, 1175, 5673, 593, 875, 1082, 1004, 1205, 538, 519, 5230, 4496, 596, 782, 630, 874, 1040, 594, 319, 332, 14161, 10897, 15120, 540, 23711, 22295, 7728, 21832, 306, 269, 3807, 3478, 811, 5752, 268, 2819, 585, 14182, 269, 0, 268, 1772, 19908, 513, 2571, 5578, 888, 268, 1548, 616, 519, 476, 278, 2571, 1983, 888, 268, 1548, 616, 519, 476, 1015, 2571, 1983, 888, 268, 1548, 616, 930, 1806, 540, 2571, 1983, 888, 268, 1772, 6015, 513, 2571, 5578, 888, 268, 1548, 616, 519, 1283, 476, 276, 2571, 1983, 888, 268, 1548, 616, 519, 1655, 2571, 1983, 888, 268, 1548, 616, 1250, 1655, 1983, 888, 268, 1548, 616, 2571, 1983, 538, 16056, 888, 268, 1215, 798, 594, 2697, 1250, 2571, 1983, 888, 268, 1548, 616, 2182, 1983, 888, 268, 1215, 798, 596, 2328, 2571, 1983, 888, 268, 1548, 616, 2947, 2182, 1983, 888, 268, 4208, 616, 2571, 1983, 1271, 888, 3674, 19908, 513, 2571, 5578, 888, 27078, 582, 2747, 1983, 616, 606, 7533, 851, 540, 2571, 5718, 267, 1317, 2571, 5718, 3322, 519, 946, 540, 30373, 543, 19908, 609, 606, 9837, 547, 3035, 513, 3094, 2914, 514, 6364, 563, 25413, 3401, 9772, 19908, 2645, 543, 2553, 547, 22321, 8639, 10756, 1432, 616, 519, 476, 278, 2571, 1983, 888, 763, 476, 278, 9941, 10341, 1411, 10261, 538, 4653, 779, 4518, 4403, 22117, 11429, 10341, 269, 14992, 1616, 5520, 945, 666, 27459, 1047, 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 ]
[ 2898, 1650, 540, 707, 2883, 1072, 269, 898, 1223, 1611, 602, 596, 723, 4956, 711, 547, 1332, 1022, 8273, 269, 2334, 779, 5386, 1932, 267, 952, 707, 3804, 568, 547, 2611, 607, 596, 616, 269, 1809, 519, 1297, 786, 711, 8308, 2099, 707, 1870, 1072, 538, 602, 2013, 563, 4263, 519, 1482, 942, 267, 607, 2907, 5018, 1657, 267, 513, 2942, 1863, 6666, 2095, 568, 711, 2141, 513, 3983, 3364, 269, 898, 3217, 2724, 547, 1332, 267, 543, 972, 616, 2053, 950, 596, 949, 6430, 547, 1118, 513, 2101, 7903, 547, 4228, 269, 2107, 930, 540, 707, 7218, 6976, 596, 3735, 713, 3923, 543, 596, 616, 10169, 2110, 593, 6666, 269, 769, 602, 2013, 267, 596, 3580, 4440, 1616, 547, 4188, 707, 8569, 2474, 585, 1045, 7860, 563, 13914, 540, 513, 2942, 6666, 2095, 3510, 538, 707, 2123, 1272, 269, 1411, 1118, 513, 3375, 547, 979, 883, 7963, 547, 2322, 606, 1840, 5196, 707, 1753, 543, 28889, 601, 824, 2694, 540, 621, 269, 1656, 596, 786, 581, 1818, 11033, 593, 602, 7963, 585, 930, 942, 269, 1656, 596, 723, 1185, 547, 2759, 1394, 593, 930, 824, 24723, 538, 1931, 547, 1118, 1346, 11033, 269, 12085, 616, 9395, 585, 513, 1906, 1296, 269, 1703, 568, 15069, 1100, 1863, 6666, 2095, 538, 707, 7622, 269, 2201, 519, 824, 1688, 267, 596, 723, 3773, 6266, 540, 1871, 547, 707, 1753, 267, 543, 596, 786, 1205, 811, 982, 707, 2724, 1394, 950, 596, 6133, 621, 538, 513, 1906, 1296, 563, 2252, 513, 1870, 814, 513, 16111, 1970, 610, 19394, 1863, 6666, 2095, 267, 543, 621, 814, 711, 1031, 602, 6666, 585, 2208, 610, 7269, 267, 1287, 713, 1058, 581, 513, 9963, 1129, 269, 2368, 1919, 949, 723, 547, 1689, 267, 952, 621, 30242, 547, 3251, 538, 1870, 269, 3807, 512, 15105, 1216, 267, 610, 8338, 267, 29855, 1797, 513, 1870, 568, 538, 3978, 8373, 563, 1432, 568, 3117, 30872, 513, 6153, 5131, 22418, 10046, 888, 2467, 568, 1100, 17386, 2626, 547, 713, 2243, 267, 585, 6654, 4128, 269, 1656, 596, 1058, 3314, 713, 281, 4587, 267, 3964, 4213, 602, 723, 13234, 585, 513, 1279, 942, 4043, 547, 723, 513, 2318, 6666, 2095, 9846, 269, 1715, 518, 267, 7820, 3549, 267, 1498, 267, 786, 1419, 723, 3592, 513, 16945, 1071, 2120, 540, 1863, 6666, 2095, 267, 607, 789, 979, 998, 2208, 27513, 1206, 269, 1656, 789, 4043, 547, 13248, 6266, 540, 6666, 883, 2208, 538, 1346, 2038, 1296, 267, 711, 7487, 8375, 1863, 6666, 8928, 693, 782, 563, 2026, 513, 1507, 547, 4571, 13355, 1870, 8227, 267, 596, 2141, 723, 3664, 547, 1118, 269, 1656, 835, 540, 1346, 3664, 568, 875, 543, 950, 547, 3442, 547, 4228, 269, 30052, 267, 596, 991, 7482, 547, 9585, 1346, 20073, 687, 267, 543, 5329, 3950, 540, 707, 1863, 6666, 2095, 5515, 786, 581, 2565, 267, 607, 596, 1589, 827, 707, 3853, 585, 2208, 269, 2201, 835, 1688, 267, 596, 798, 711, 1616, 547, 936, 268, 2169, 754, 3054, 282, 593, 519, 824, 1688, 267, 2921, 4220, 543, 2469, 883, 2942, 1863, 6666, 2095, 666, 1267, 538, 3476, 3856, 2208, 602, 568, 1134, 4502, 621, 563, 4407, 596, 666, 3442, 547, 946, 707, 1863, 6666, 2095, 538, 1022, 1259, 596, 1616, 267, 1832, 513, 3666, 269, 1879, 2053, 616, 1434, 267, 621, 779, 8799, 547, 8007, 707, 2319, 585, 741, 2182, 960, 267, 543, 930, 540, 519, 1863, 6666, 2095, 666, 798, 1175, 602, 2336, 20124, 676, 281, 19255, 1518, 0, 382, 373, 11905, 281, 530, 1731, 5406, 776, 2593, 454, 14240, 540, 10748, 924, 324, 454, 272, 269, 835, 602, 568, 2912, 1243, 1496, 333, 910, 306, 2639, 299, 1410, 545, 7240, 27199, 26092, 540, 10748, 924, 324, 454, 24145, 776, 6165, 540, 10748, 924, 324, 454, 19350, 596, 786, 1265, 1383, 6165, 540, 713, 2165, 607, 1336, 538, 2413, 543, 5924, 8106, 3332, 912, 272, 269, 6554, 10748, 1746, 11621, 676, 14192, 3198, 292, 14539, 7577, 630, 1960, 275, 994, 257, 2252, 2912, 6002, 723, 28078, 971, 12150, 885, 610, 10363, 6411, 547, 519, 2912, 924, 324, 267, 543, 621, 14543, 547, 1867, 873, 267, 1287, 519, 2912, 6002, 1058, 5968, 741, 10371, 4799, 273, 269, 634, 10748, 527, 4112, 8531, 676, 7812, 5295, 630, 1960, 275, 994, 257, 302, 24810, 5784, 3746, 1047, 519, 4015, 540, 2963, 540, 606, 3617, 2298, 543, 7274, 269, 277, 262, 1403, 796, 3711, 27631, 4441, 540, 2912, 924, 324, 2773, 666, 581, 10371, 1701, 0, 11764, 1067, 16505, 666, 581, 2182, 547, 1832, 3214, 7038, 539, 585, 4374, 593, 1439, 269, 1924, 267, 585, 1346, 2395, 950, 519, 3214, 616, 3330, 543, 4712, 585, 1945, 547, 19582, 741, 3860, 8186, 267, 649, 4076, 2322, 1927, 513, 3984, 540, 2706, 1922, 684, 3785, 269, 3245, 1818, 1565, 1187, 609, 3859, 1062, 4254, 3796, 267, 547, 3478, 6273, 676, 2470, 609, 5863, 22986, 30660, 267, 972, 779, 513, 1788, 1169, 1126, 786, 2648, 2336, 2080, 616, 938, 1283, 28457, 3585, 1187, 2306, 585, 3214, 547, 723, 513, 4832, 547, 3314, 267, 4904, 609, 6266, 540, 11300, 7591, 2336, 11073, 540, 901, 2622, 6611, 16353, 454, 22129, 568, 971, 513, 4241, 1888, 267, 799, 2636, 3214, 547, 1451, 15029, 2348, 13907, 540, 1187, 256, 10812, 519, 3859, 1062, 609, 713, 1788, 799, 3340, 513, 5985, 11876, 641, 267, 5569, 267, 4874, 560, 344, 16867, 11084, 267, 11308, 7729, 9955, 267, 15441, 267, 5862, 543, 1350, 7867, 563, 2414, 1711, 713, 24666, 1118, 267, 1101, 1491, 707, 3099, 3640, 540, 4874, 560, 344, 16867, 11084, 799, 616, 2139, 538, 1034, 4739, 8637, 543, 533, 15127, 707, 11308, 7729, 9955, 538, 3368, 1259, 883, 1142, 3440, 269, 2422, 519, 7729, 4546, 547, 3180, 519, 3440, 20005, 15029, 596, 3142, 707, 10785, 9800, 267, 1210, 5862, 543, 1350, 7867, 269, 4495, 21243, 267, 4734, 707, 11084, 547, 3819, 676, 5329, 873, 593, 519, 7729, 9955, 20005, 538, 513, 20220, 610, 8708, 543, 1985, 5862, 707, 5985, 11876, 641, 269, 1879, 707, 10785, 723, 12015, 267, 1491, 707, 5569, 543, 2759, 547, 1142, 5551, 3259, 543, 24516, 835, 1439, 269, 6875, 707, 7729, 9955, 856, 543, 4019, 15441, 883, 519, 8559, 1354, 11319, 519, 24516, 1540, 1439, 540, 519, 5569, 883, 519, 8559, 1210, 707, 7729, 4546, 269, 4495, 3388, 814, 12015, 267, 596, 666, 2253, 547, 17063, 519, 824, 1439, 540, 519, 5569, 547, 707, 5985, 11876, 641, 269, 634, 1267, 568, 606, 5863, 2230, 5985, 799, 3214, 786, 581, 936, 519, 7599, 609, 2336, 21841, 8342, 4762, 31899, 3883, 12201, 454, 9349, 12201, 616, 971, 606, 2653, 1118, 799, 596, 666, 4628, 2123, 1125, 547, 3142, 7209, 543, 2511, 883, 2542, 269, 4762, 31899, 695, 6033, 1433, 12201, 616, 2386, 547, 581, 513, 2462, 5734, 609, 519, 3214, 543, 616, 2731, 2241, 547, 1118, 256, 2353, 596, 2154, 568, 930, 5068, 1957, 22836, 267, 25146, 1907, 610, 22927, 3684, 267, 513, 8559, 24362, 543, 26781, 563, 5575, 267, 2759, 707, 5068, 22836, 883, 1079, 1433, 5658, 13355, 25965, 543, 13021, 519, 6316, 1210, 707, 25146, 1907, 610, 22927, 3684, 267, 6028, 835, 2110, 2427, 1930, 269, 7046, 707, 17927, 543, 6445, 786, 1476, 31899, 543, 1350, 7867, 540, 707, 3903, 267, 1354, 27575, 9505, 269, 5685, 880, 676, 8559, 5309, 4221, 519, 1283, 540, 707, 1433, 5658, 543, 1119, 532, 26781, 585, 606, 5863, 1433, 5658, 267, 3501, 585, 3214, 2336, 290, 2194, 675, 519, 9341, 1158, 540, 519, 22986, 782, 538, 513, 9910, 17512, 10740, 3214, 786, 2648, 256, 901, 6578, 7888, 1118, 568, 3501, 585, 8744, 519, 9059, 540, 519, 13964, 538, 543, 568, 2241, 543, 1187, 547, 1118, 269, 2353, 596, 786, 991, 568, 513, 4837, 20220, 267, 853, 344, 19745, 27961, 267, 21263, 267, 5841, 13151, 28684, 267, 7725, 267, 22986, 3662, 19562, 1149, 543, 513, 15441, 7784, 563, 2414, 1205, 3323, 267, 1930, 707, 4837, 20220, 543, 2490, 26700, 1524, 607, 519, 19984, 786, 1106, 519, 3490, 585, 519, 4159, 269, 1677, 2285, 707, 3490, 930, 10155, 267, 5402, 3640, 707, 19984, 609, 853, 344, 19745, 27961, 543, 15441, 883, 1747, 269, 3767, 585, 519, 1187, 3787, 267, 30164, 707, 4159, 609, 21263, 267, 1507, 7725, 267, 5841, 30362, 543, 22986, 19562, 1149, 1210, 519, 948, 540, 606, 2937, 547, 15441, 873, 883, 707, 5551, 2990, 269, 3973, 3274, 2347, 519, 1118, 676, 3458, 9405, 519, 20220, 1394, 593, 547, 519, 19984, 2336, 2252, 707, 3214, 2648, 3165, 543, 519, 14015, 1158, 267, 1287, 789, 786, 2648, 713, 3078, 1118, 256, 10435, 2870, 593, 513, 6578, 1187, 267, 18789, 21312, 6864, 926, 4548, 616, 2386, 547, 581, 513, 2462, 5734, 609, 3214, 256, 589, 2706, 2241, 1259, 540, 2870, 707, 1378, 16983, 568, 547, 946, 513, 23611, 4216, 267, 799, 596, 666, 13021, 6806, 543, 1287, 5402, 2759, 513, 1804, 6885, 267, 4712, 547, 1711, 707, 1360, 1378, 14015, 6429, 269, 634, 7201, 519, 7256, 774, 514, 331, 1080, 12603, 5590, 630, 5780, 274, 3607, 274, 1070, 2139, 693, 590, 11170, 1460, 267, 568, 3501, 585, 713, 1118, 543, 2882, 513, 795, 14709, 21297, 8127, 267, 4241, 14854, 267, 32620, 5182, 8127, 267, 32336, 344, 26029, 543, 18616, 2336, 300, 698, 673, 667, 3496, 25906, 19490, 454, 2252, 596, 2461, 593, 519, 6968, 585, 3078, 9205, 2238, 267, 1287, 1413, 1100, 2417, 269, 1452, 32620, 15472, 10775, 19490, 616, 1187, 547, 1118, 543, 1256, 811, 1187, 547, 946, 256, 15439, 1491, 930, 9419, 1564, 267, 5862, 267, 26781, 543, 513, 15441, 7784, 563, 25219, 559, 2358, 1082, 3688, 596, 3580, 1265, 538, 707, 1818, 588, 1662, 267, 713, 1118, 568, 513, 1390, 2534, 585, 4079, 543, 3214, 547, 1118, 1927, 269, 3689, 267, 1491, 707, 9419, 601, 799, 786, 581, 707, 18389, 543, 5862, 547, 707, 5551, 2681, 1354, 6028, 547, 3819, 538, 519, 4832, 3141, 269, 1733, 12241, 596, 7227, 267, 596, 666, 2759, 707, 6074, 26781, 547, 2450, 1107, 1118, 2386, 621, 779, 1279, 2614, 585, 2220, 26325, 23929, 256, 15233, 930, 15441, 547, 519, 1439, 540, 707, 26781, 543, 5150, 707, 18389, 269, 901, 2706, 2656, 1118, 786, 1711, 3108, 540, 17615, 1187, 13964, 256, 0, 763, 2898, 6532, 540, 5548, 1111, 568, 3710, 593, 14147, 543, 14680, 269, 634, 6532, 568, 513, 6093, 6552, 16444, 700, 1678, 534, 8498, 269, 11822, 24428, 3710, 540, 14147, 543, 14680, 267, 9788, 25746, 1272, 543, 519, 1034, 2442, 1106, 540, 3560, 568, 17919, 563, 16829, 538, 5900, 10330, 454, 30357, 3022, 609, 281, 5548, 1111, 454, 763, 10656, 10783, 693, 13158, 333, 777, 3120, 6013, 593, 519, 1858, 8720, 519, 1699, 7128, 6728, 799, 6227, 476, 1015, 18840, 1670, 6870, 5656, 538, 713, 1507, 14629, 1442, 563, 288, 23774, 340, 10783, 568, 513, 1507, 1079, 536, 770, 542, 6830, 3710, 676, 519, 14082, 1175, 1354, 519, 2014, 3118, 693, 589, 23774, 340, 269, 901, 6830, 729, 19942, 936, 547, 519, 10656, 538, 476, 13679, 279, 1310, 519, 2887, 540, 28553, 541, 269, 901, 6830, 1586, 4957, 3946, 547, 519, 3703, 563, 763, 6830, 693, 631, 1638, 7159, 643, 340, 729, 3710, 676, 519, 10656, 538, 476, 14378, 276, 729, 8385, 513, 1507, 11308, 2497, 267, 538, 476, 15094, 272, 513, 9076, 9771, 6830, 540, 3618, 22086, 814, 1044, 25517, 269, 634, 2296, 1185, 32206, 621, 1282, 519, 3703, 13567, 540, 519, 6532, 563, 763, 10783, 693, 19358, 4150, 729, 3710, 676, 519, 10656, 6772, 8504, 519, 4262, 593, 513, 9386, 1657, 519, 15922, 269, 634, 6830, 568, 1631, 10736, 547, 513, 7890, 543, 4503, 1034, 540, 621, 3312, 3337, 563, 1607, 10060, 10783, 729, 3710, 547, 606, 2189, 3337, 540, 606, 3670, 11329, 5182, 609, 2230, 585, 476, 1321, 1804, 28994, 976, 547, 3382, 4485, 689, 782, 8846, 269, 2201, 519, 2895, 540, 519, 1292, 13675, 519, 1032, 476, 12293, 276, 568, 2377, 1601, 539, 630, 20204, 540, 4070, 264, 2059, 609, 519, 966, 8016, 30118, 543, 519, 10359, 540, 7916, 540, 17135, 11709, 661, 1188, 563, 763, 21219, 540, 519, 23063, 1177, 10440, 10783, 543, 519, 19289, 540, 3751, 14076, 2084, 515, 476, 272, 666, 581, 2938, 676, 519, 2427, 540, 519, 2997, 1170, 1177, 7578, 1107, 7754, 1177, 8403, 4155, 2443, 713, 1373, 519, 1482, 8905, 547, 519, 2494, 12011, 836, 4821, 14076, 320, 10067, 320, 966, 8811, 541, 11535, 563, 4415, 2543, 547, 519, 22859, 9774, 6202, 320, 10783, 267, 621, 568, 1767, 602, 519, 14082, 267, 538, 519, 476, 14689, 271, 338, 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 ]
[ 540, 9639, 547, 8011, 269, 11137, 269, 901, 10959, 568, 585, 717, 2672, 924, 3755, 547, 948, 873, 2015, 1018, 717, 2672, 924, 2645, 789, 786, 1331, 269, 2991, 602, 267, 596, 723, 1053, 2736, 689, 741, 3312, 2516, 543, 2911, 547, 824, 1053, 945, 2968, 4966, 538, 519, 1482, 1858, 269, 901, 2636, 519, 3312, 9375, 547, 3398, 610, 7947, 519, 1196, 1080, 269, 7994, 707, 4640, 543, 2491, 875, 621, 1568, 547, 519, 1053, 269, 9737, 873, 267, 723, 3515, 3001, 4464, 270, 3724, 1189, 543, 2427, 3562, 20933, 269, 3767, 267, 723, 1053, 1847, 689, 835, 2427, 540, 519, 4928, 547, 519, 824, 269, 20985, 2238, 616, 1022, 2238, 1141, 6267, 616, 2324, 1071, 268, 6016, 8271, 538, 8424, 610, 2516, 269, 4460, 519, 1647, 540, 519, 4928, 609, 513, 16887, 23469, 1899, 865, 602, 621, 30232, 6654, 269, 630, 1607, 568, 513, 6305, 4316, 585, 1053, 547, 2671, 741, 2093, 609, 519, 1362, 1932, 12175, 23875, 3081, 476, 2641, 560, 2540, 1565, 1983, 899, 606, 5769, 2861, 10319, 1565, 3992, 1544, 5059, 593, 1210, 2029, 547, 29289, 543, 30075, 1344, 269, 476, 1015, 266, 7454, 3203, 7689, 4643, 6201, 1299, 16574, 919, 630, 12606, 3767, 264, 2560, 8437, 593, 519, 4544, 9523, 7735, 538, 519, 5580, 1318, 11804, 7944, 543, 1039, 519, 4757, 9607, 540, 945, 596, 3992, 1544, 609, 269, 594, 723, 2813, 513, 22369, 547, 948, 10891, 707, 10319, 3992, 4566, 269, 634, 3992, 1544, 568, 8850, 3838, 609, 4896, 519, 22369, 3992, 1544, 1433, 568, 3838, 609, 269, 19903, 2120, 267, 13698, 476, 12293, 6349, 1809, 950, 621, 20147, 267, 596, 666, 16833, 3388, 909, 609, 513, 2110, 24233, 4879, 602, 2982, 875, 1454, 1142, 2875, 814, 4121, 269, 7151, 634, 4305, 2861, 1565, 1935, 3340, 6267, 547, 2560, 1411, 616, 711, 519, 1152, 968, 4118, 892, 4116, 269, 11524, 1904, 547, 1577, 2516, 2911, 827, 1018, 789, 4121, 538, 4395, 540, 519, 1362, 547, 5352, 4901, 543, 1007, 2093, 269, 1452, 2055, 666, 581, 1031, 547, 1711, 4255, 610, 11400, 269, 5903, 539, 2630, 616, 930, 4116, 1544, 1806, 607, 1134, 607, 2560, 10251, 267, 972, 5749, 5889, 339, 1082, 3435, 547, 602, 1966, 2943, 269, 19805, 968, 8620, 674, 2683, 769, 7689, 4643, 892, 10081, 1790, 641, 12885, 519, 3992, 1544, 2140, 543, 1565, 6662, 883, 1250, 10959, 269, 901, 10319, 1565, 3992, 568, 1187, 267, 2502, 267, 543, 12300, 585, 3025, 3238, 269, 10558, 519, 1570, 1101, 267, 18756, 1565, 2501, 1310, 1053, 616, 6026, 269, 1677, 1711, 513, 5299, 540, 519, 3992, 1544, 10959, 267, 946, 519, 968, 13014, 7689, 4643, 892, 10624, 269, 594, 2813, 513, 3732, 3992, 1544, 10959, 547, 948, 596, 1205, 3323, 609, 1603, 3992, 4566, 29050, 269, 1280, 602, 2601, 267, 5616, 10241, 814, 1831, 519, 4154, 3044, 585, 10319, 267, 2780, 2861, 13460, 269, 5303, 568, 14027, 6385, 538, 13460, 547, 519, 1448, 1141, 621, 30232, 3478, 2352, 547, 1265, 1053, 945, 1810, 5889, 339, 1205, 19503, 6758, 267, 24195, 267, 610, 824, 19269, 547, 948, 609, 741, 1565, 269, 4208, 616, 596, 2870, 3992, 4566, 689, 15072, 286, 20985, 1565, 568, 519, 5767, 538, 513, 1279, 5569, 540, 2069, 3466, 6322, 693, 2679, 16542, 1983, 1851, 1053, 269, 20985, 1565, 2238, 666, 948, 1053, 547, 1020, 1966, 6061, 543, 1895, 960, 1983, 269, 2334, 30232, 519, 2186, 540, 3992, 602, 18027, 6239, 15565, 267, 4352, 596, 1810, 5889, 339, 991, 513, 15547, 19063, 1756, 547, 946, 621, 256, 901, 1935, 2488, 1053, 519, 4316, 547, 1451, 689, 835, 1776, 282, 7512, 519, 7234, 543, 4687, 540, 2093, 282, 543, 3322, 1053, 2324, 29050, 547, 4194, 513, 1966, 610, 8495, 513, 6310, 1523, 269, 7102, 835, 540, 891, 10372, 1223, 581, 8719, 609, 513, 2854, 1957, 267, 1022, 1106, 540, 1148, 1788, 630, 9526, 532, 267, 7206, 267, 2575, 267, 1957, 5672, 515, 267, 10036, 267, 3574, 267, 26095, 270, 10603, 5514, 2044, 267, 8407, 267, 3092, 269, 5620, 835, 2319, 1899, 909, 593, 835, 2427, 540, 519, 4928, 267, 543, 723, 1776, 2319, 1899, 909, 593, 519, 6587, 2427, 269, 31913, 4804, 7689, 4643, 22276, 6184, 2869, 1049, 634, 4245, 602, 1452, 1614, 4245, 616, 782, 5140, 2093, 585, 2502, 543, 3450, 1647, 1153, 1053, 269, 901, 568, 2523, 3020, 585, 513, 3014, 16654, 3992, 269, 901, 13071, 873, 4137, 856, 513, 1007, 1544, 540, 4323, 267, 1519, 1761, 2081, 547, 1847, 689, 519, 4571, 15304, 547, 519, 10888, 2427, 269, 1358, 666, 1152, 3802, 593, 3515, 267, 543, 789, 666, 5889, 339, 1689, 4287, 8259, 789, 5889, 516, 693, 606, 10167, 540, 1079, 610, 811, 3515, 269, 3973, 267, 789, 666, 2119, 741, 1007, 12485, 269, 634, 1101, 2319, 547, 1205, 782, 540, 741, 2818, 2066, 519, 4055, 17993, 256, 5502, 267, 10319, 1565, 13071, 1053, 2322, 741, 9843, 1927, 543, 1451, 689, 835, 1776, 1247, 1565, 741, 1378, 1367, 9342, 269, 1284, 3513, 1376, 609, 513, 2947, 25686, 1184, 547, 3391, 3992, 13807, 534, 5137, 269, 11086, 267, 621, 30232, 909, 547, 596, 547, 3313, 875, 2484, 596, 1491, 713, 3992, 269, 634, 1362, 568, 7768, 540, 476, 2918, 1053, 1500, 909, 540, 476, 1626, 8695, 543, 476, 1015, 6690, 269, 901, 10319, 1565, 3992, 568, 1187, 267, 2502, 267, 543, 12300, 585, 3025, 3238, 269, 853, 580, 2401, 267, 6276, 654, 1421, 543, 6276, 670, 773, 6975, 269, 2422, 713, 17676, 4830, 1603, 17142, 547, 948, 707, 1053, 2992, 593, 519, 1390, 8090, 543, 9157, 9465, 540, 476, 1708, 271, 269, 1403, 513, 2875, 568, 17808, 267, 789, 723, 547, 979, 1394, 547, 519, 4098, 543, 2119, 1586, 269, 14160, 27912, 28313, 11123, 5990, 19766, 4041, 15288, 590, 18510, 297, 17614, 744, 7473, 299, 12114, 11123, 8121, 4811, 1299, 13138, 4696, 2464, 2608, 7490, 4063, 602, 4376, 609, 606, 14531, 7416, 568, 1175, 513, 19583, 269, 2755, 4928, 5698, 568, 513, 1390, 1259, 547, 4001, 1053, 875, 547, 960, 1927, 267, 1034, 4245, 723, 835, 2101, 2110, 5765, 12882, 789, 1810, 5889, 339, 6451, 2029, 269, 7316, 547, 1376, 609, 1210, 717, 2672, 924, 543, 5616, 29393, 286, 1717, 267, 7429, 1895, 3785, 267, 10319, 1565, 3085, 5889, 339, 1205, 1053, 1927, 547, 960, 4724, 2870, 513, 1587, 610, 18138, 513, 1788, 269, 769, 713, 1543, 1858, 1603, 3992, 1544, 267, 476, 275, 628, 17603, 2328, 856, 1900, 676, 1900, 8846, 585, 6061, 2979, 2042, 269, 1677, 1491, 713, 2534, 513, 1900, 2417, 267, 2307, 1053, 547, 2328, 1524, 741, 2055, 543, 1688, 873, 538, 269, 5410, 22812, 2897, 707, 476, 274, 2645, 547, 519, 3992, 1544, 10959, 269, 594, 4363, 596, 1376, 609, 476, 274, 2645, 596, 1616, 547, 1902, 538, 1565, 269, 1879, 1818, 1196, 1080, 547, 519, 3992, 1544, 2015, 1210, 19583, 7154, 269, 2368, 3610, 3442, 547, 1439, 519, 3992, 1934, 269, 1684, 711, 6615, 3054, 547, 3610, 593, 707, 13464, 267, 1265, 930, 5499, 3610, 538, 707, 1641, 1858, 543, 7941, 621, 909, 256, 1717, 267, 3610, 1058, 581, 5423, 547, 723, 930, 6158, 543, 3350, 538, 519, 4928, 585, 891, 2238, 269, 18027, 6239, 30232, 10319, 3992, 568, 1572, 12882, 763, 7412, 10794, 269, 5889, 898, 30232, 513, 2110, 267, 1187, 3635, 602, 596, 666, 946, 547, 4497, 1053, 543, 1205, 873, 2324, 1927, 269, 8437, 593, 519, 4544, 9523, 7735, 538, 519, 22369, 543, 1039, 519, 3992, 1544, 3523, 2209, 547, 519, 22369, 269, 1924, 972, 30232, 835, 2063, 2243, 12882, 875, 798, 596, 946, 621, 286, 1215, 786, 707, 1053, 581, 23712, 1282, 713, 3992, 286, 18027, 6239, 568, 606, 2228, 8313, 602, 6212, 593, 5499, 2168, 2069, 269, 1284, 786, 946, 1806, 689, 513, 3126, 540, 4245, 585, 513, 1770, 593, 519, 27478, 1004, 585, 9344, 476, 277, 910, 476, 279, 269, 901, 3732, 3992, 1544, 568, 513, 2203, 585, 875, 596, 666, 2497, 606, 1367, 3992, 269, 8437, 593, 519, 6263, 6906, 1985, 547, 519, 15513, 543, 3079, 3442, 968, 22296, 2248, 532, 892, 7154, 269, 589, 547, 2098, 11819, 853, 4428, 568, 513, 23789, 540, 1863, 3992, 4566, 543, 2093, 602, 3610, 2671, 609, 835, 1776, 269, 2755, 23539, 10870, 7125, 741, 21169, 12882, 1723, 10869, 1565, 267, 5889, 519, 9759, 568, 519, 1482, 607, 12882, 322, 3326, 1987, 894, 1565, 5889, 12882, 1205, 1053, 1927, 547, 948, 1142, 824, 1451, 269, 476, 24374, 5101, 9546, 18133, 853, 269, 2672, 924, 476, 1220, 8437, 1934, 269, 3733, 1101, 595, 594, 1376, 609, 950, 1603, 3992, 4566, 568, 5698, 269, 898, 568, 678, 8775, 547, 18419, 2576, 779, 1913, 1510, 10479, 269, 4855, 10319, 1565, 2979, 3992, 4566, 543, 3450, 2200, 269, 676, 14721, 1923, 4455, 476, 1789, 267, 476, 1001, 278, 1923, 11628, 267, 29393, 14644, 267, 9022, 338, 267, 5616, 267, 7689, 5071, 267, 25420, 1923, 476, 271, 8292, 269, 7201, 519, 4544, 9523, 7735, 568, 513, 15513, 12835, 10834, 3798, 1746, 7154, 269, 5616, 10241, 3091, 519, 1101, 24194, 540, 3301, 1141, 3755, 666, 1711, 543, 12189, 741, 960, 8195, 269, 898, 30232, 513, 1390, 1259, 585, 3610, 547, 3605, 6667, 610, 7914, 11034, 741, 1378, 3860, 3157, 950, 2870, 4245, 269, 23850, 607, 513, 4358, 1448, 547, 1628, 3972, 543, 2463, 267, 607, 1134, 607, 547, 5000, 543, 1489, 7391, 602, 18427, 7553, 543, 1689, 267, 713, 3992, 786, 16436, 1053, 547, 7119, 538, 1507, 1895, 20985, 25705, 827, 2152, 540, 1514, 5126, 543, 4763, 269, 4595, 596, 616, 23712, 267, 1592, 856, 513, 32004, 540, 1565, 6859, 543, 538, 6241, 661, 3651, 945, 568, 2469, 547, 1118, 519, 11315, 8908, 540, 519, 3992, 269, 3733, 1101, 595, 594, 1376, 609, 950, 1603, 3992, 4566, 568, 5698, 269, 901, 1249, 267, 13745, 609, 519, 1269, 271, 3902, 1448, 267, 814, 1500, 5616, 513, 2442, 4244, 547, 519, 3902, 344, 543, 535, 1157, 548, 9786, 8433, 24194, 540, 3292, 267, 799, 9620, 538, 10319, 5054, 269, 910, 4147, 8154, 18248, 5403, 729, 711, 2366, 910, 2638, 707, 4757, 9607, 256, 31913, 1299, 20985, 4804, 7689, 4643, 282, 1215, 547, 8073, 513, 7689, 4643, 585, 20661, 282, 3267, 20472, 22999, 7689, 4643, 7151, 476, 276, 281, 3451, 7756, 7007, 19019, 7689, 4643, 2560, 4634, 21273, 568, 547, 1711, 513, 17835, 538, 5616, 20000, 585, 3992, 1544, 5698, 543, 547, 2671, 519, 17835, 269, 1403, 596, 9168, 519, 10959, 610, 723, 707, 1378, 10959, 267, 18419, 1250, 5616, 1257, 3561, 15745, 543, 5372, 621, 609, 707, 5616, 1257, 3561, 15745, 269, 6355, 261, 3951, 290, 10938, 2641, 568, 6437, 3301, 602, 2501, 4628, 6006, 539, 609, 2298, 3992, 4566, 267, 13128, 21249, 267, 543, 824, 942, 22766, 2934, 269, 594, 786, 798, 713, 998, 20793, 269, 272, 269, 275, 281, 7119, 538, 10319, 7391, 609, 3309, 4891, 827, 3446, 835, 3584, 543, 5931, 609, 9905, 543, 4079, 538, 1507, 543, 3677, 2516, 269, 594, 2141, 2303, 596, 2328, 2910, 17247, 5723, 3036, 9569, 2731, 2462, 693, 519, 1283, 540, 707, 3992, 4566, 269, 594, 6557, 711, 6158, 827, 952, 789, 616, 19163, 610, 3478, 2059, 269, 9358, 11298, 8627, 898, 568, 851, 540, 476, 1015, 13832, 585, 12020, 19590, 267, 799, 2488, 2994, 585, 7561, 8380, 1927, 782, 540, 707, 3450, 4566, 11065, 1054, 941, 9862, 689, 634, 1715, 11819, 781, 13159, 11905, 1504, 281, 5664, 3427, 676, 14529, 3121, 10878, 1122, 548, 907, 1677, 1711, 513, 1007, 3992, 1544, 1826, 513, 1007, 4737, 883, 519, 22369, 609, 519, 3992, 1544, 2140, 543, 1565, 6662, 269, 1215, 547, 1628, 513, 1390, 3992, 1544, 630, 5976, 513, 10959, 14386, 476, 277, 3992, 1544, 1806, 585, 10026, 1153, 910, 4147, 8154, 18248, 594, 2813, 513, 3732, 3992, 1544, 10959, 547, 948, 596, 1205, 3323, 609, 1603, 3992, 4566, 29050, 269, 20985, 2534, 3322, 6267, 2324, 1927, 538, 1931, 547, 2347, 513, 4305, 269, 3245, 7869, 547, 6657, 744, 23615, 26177, 269, 1280, 1383, 267, 1331, 513, 5850, 585, 606, 2228, 1907, 1354, 10962, 513, 3992, 1544, 602, 16621, 621, 269, 6201, 540, 2296, 7689, 12697, 269, 769, 713, 769, 1591, 918, 272, 568, 519, 3095, 547, 519, 5616, 9022, 3992, 1544, 10959, 594, 2813, 269, 9578, 267, 607, 519, 3992, 30232, 17082, 2798, 856, 267, 519, 12545, 1413, 1390, 950, 596, 13793, 873, 593, 707, 4928, 6821, 12882, 2523, 950, 3237, 543, 16984, 616, 1472, 256, 3092, 269, 901, 3992, 6212, 593, 513, 1514, 2090, 1788, 540, 12882, 763, 15020, 3689, 4892, 5889, 1141, 1142, 2875, 16137, 1945 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2285, 741, 1453, 519, 14637, 3347, 543, 2833, 602, 3895, 1153, 22026, 269, 630, 273, 994, 268, 5753, 945, 616, 13998, 267, 14156, 543, 27268, 12707, 335, 1563, 585, 9656, 11411, 519, 2200, 540, 519, 3003, 1062, 269, 630, 274, 264, 0, 13051, 15924, 700, 269, 670, 23697, 2372, 1774, 454, 28490, 972, 941, 538, 519, 1158, 2221, 1022, 1804, 1297, 540, 1004, 945, 5551, 741, 1378, 8788, 811, 982, 789, 5551, 519, 21379, 1952, 1465, 540, 1866, 267, 649, 1223, 723, 513, 27032, 538, 513, 1906, 1296, 3034, 2026, 20926, 538, 6056, 267, 5292, 269, 476, 2767, 630, 3422, 272, 1070, 533, 269, 476, 3953, 454, 17606, 568, 513, 8536, 2053, 1732, 547, 723, 1455, 2631, 1510, 2069, 982, 547, 723, 2069, 1510, 1455, 2631, 3034, 587, 499, 27144, 5682, 769, 7970, 3326, 454, 763, 1568, 540, 7917, 717, 269, 769, 7970, 3326, 630, 3192, 279, 7160, 1070, 7732, 540, 28641, 910, 9768, 281, 476, 7818, 16409, 4649, 273, 15836, 271, 454, 2108, 291, 658, 4084, 1058, 3274, 581, 513, 3280, 1851, 824, 4992, 267, 1175, 1945, 602, 2501, 856, 540, 519, 28182, 540, 1004, 4171, 4064, 2995, 519, 1650, 538, 3308, 2474, 3034, 2026, 20926, 538, 281, 670, 3558, 32024, 630, 3422, 278, 264, 676, 31839, 12251, 22427, 742, 2246, 454, 2108, 27028, 5193, 24787, 568, 513, 678, 3578, 1652, 4487, 269, 898, 568, 811, 16160, 540, 5191, 982, 1022, 540, 812, 781, 824, 18563, 3034, 587, 499, 19365, 744, 269, 19958, 454, 291, 1170, 550, 532, 267, 2136, 2276, 642, 269, 654, 8974, 28727, 267, 476, 31079, 772, 2529, 269, 476, 7176, 267, 476, 6200, 630, 4198, 272, 1916, 13051, 15924, 700, 269, 670, 23697, 454, 27807, 281, 18148, 4521, 5459, 670, 23697, 729, 606, 1977, 3540, 2924, 6205, 269, 589, 23837, 14012, 543, 8026, 18607, 267, 646, 6039, 607, 10324, 8689, 540, 519, 2817, 5948, 585, 519, 21992, 618, 540, 2051, 1819, 4658, 689, 476, 3192, 278, 547, 476, 1960, 273, 267, 543, 2429, 1010, 4876, 729, 513, 13047, 5859, 518, 585, 3540, 2924, 538, 519, 2136, 2276, 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 ]
[ 0, 290, 12973, 692, 258, 4530, 281, 20587, 1137, 268, 476, 272, 692, 1012, 476, 1015, 5999, 14330, 304, 4530, 25153, 4916, 1849, 17064, 2776, 32093, 910, 5530, 7698, 267, 631, 1442, 18873, 1923, 4530, 281, 20587, 1137, 268, 476, 272, 692, 20373, 454, 1607, 23769, 1449, 540, 4530, 281, 20587, 1137, 268, 476, 272, 585, 10829, 2337, 596, 585, 1169, 10829, 13675, 981, 269, 901, 3568, 476, 1015, 13038, 14893, 5999, 585, 10829, 4530, 281, 20587, 1137, 268, 476, 272, 630, 32508, 336, 264, 547, 1353, 609, 3435, 513, 2347, 2243, 4871, 269, 634, 12193, 2055, 4267, 538, 713, 4530, 281, 20587, 1137, 268, 476, 272, 7688, 2285, 596, 513, 1434, 3575, 540, 2653, 2055, 543, 9157, 2055, 269, 10829, 1053, 9090, 1491, 713, 4530, 281, 20587, 1137, 268, 476, 272, 3635, 585, 513, 1732, 1267, 538, 519, 981, 269, 1411, 666, 1265, 824, 4530, 281, 20587, 1137, 268, 476, 272, 3063, 2055, 267, 1279, 2055, 1299, 2110, 2055, 585, 10829, 593, 661, 706, 3725, 341, 607, 1134, 676, 10478, 1657, 563, 27309, 3582, 281, 476, 272, 692, 2162, 476, 1789, 260, 540, 519, 2367, 616, 811, 982, 476, 1839, 1296, 2025, 543, 476, 3199, 260, 540, 519, 2367, 616, 1447, 982, 610, 3160, 547, 476, 2004, 1296, 2025, 269, 476, 736, 260, 540, 782, 2367, 1404, 11176, 269, 1403, 476, 736, 260, 540, 519, 2367, 1657, 519, 2085, 540, 476, 2004, 1404, 11176, 267, 1018, 6871, 540, 519, 11176, 5716, 616, 1447, 982, 610, 3160, 547, 476, 2004, 1296, 2496, 11405, 1384, 4131, 2698, 1297, 540, 2367, 815, 476, 1911, 269, 3973, 2676, 3199, 2367, 616, 1447, 982, 610, 3160, 547, 476, 2004, 1296, 2025, 454, 263, 7712, 476, 3199, 260, 540, 519, 2367, 616, 1447, 982, 610, 3160, 547, 476, 2004, 1296, 2025, 994, 22382, 476, 736, 2367, 616, 1657, 476, 2004, 1296, 2025, 630, 7712, 649, 10924, 2698, 1297, 540, 2367, 607, 476, 1911, 994, 736, 260, 540, 519, 2367, 1657, 519, 2085, 540, 476, 2004, 1404, 11176, 454, 22382, 7089, 540, 2367, 1657, 519, 2085, 540, 476, 2004, 945, 1404, 11176, 815, 476, 736, 1535, 476, 736, 1315, 476, 1911, 815, 476, 275, 454, 10831, 540, 2367, 945, 1404, 11176, 815, 476, 736, 630, 7712, 476, 736, 260, 540, 782, 2367, 1404, 11176, 994, 8110, 1417, 720, 540, 2367, 945, 1404, 11176, 1657, 519, 2085, 540, 476, 2004, 815, 476, 275, 270, 736, 1535, 476, 1911, 815, 1109, 736, 14999, 27784, 8110, 1417, 720, 540, 2367, 945, 1404, 11176, 1447, 982, 610, 3160, 547, 519, 2085, 476, 2004, 815, 1109, 1911, 260, 6629, 736, 260, 284, 3199, 30515, 27309, 3582, 281, 476, 273, 692, 2162, 1627, 607, 513, 6871, 540, 533, 568, 3160, 547, 533, 607, 1109, 320, 6871, 540, 1496, 533, 1341, 7117, 9948, 1547, 4855, 7117, 1306, 513, 6871, 540, 533, 780, 11405, 1384, 11693, 267, 1627, 1306, 513, 6871, 540, 533, 568, 3160, 547, 533, 607, 6871, 540, 630, 533, 266, 7117, 994, 328, 269, 552, 267, 1109, 630, 7117, 270, 533, 264, 2608, 476, 1911, 815, 1496, 533, 1315, 630, 335, 266, 7117, 264, 3738, 9948, 2608, 476, 1911, 454, 7775, 267, 7117, 270, 533, 284, 335, 1315, 630, 533, 266, 7117, 264, 476, 955, 630, 272, 994, 553, 7117, 568, 930, 6871, 540, 623, 267, 1109, 1577, 781, 1491, 454, 336, 815, 737, 335, 476, 955, 630, 273, 994, 21607, 1154, 630, 273, 264, 538, 630, 272, 994, 330, 335, 1315, 533, 284, 1109, 533, 1315, 263, 533, 266, 7117, 335, 264, 1109, 610, 737, 815, 476, 272, 1315, 263, 272, 266, 330, 264, 955, 630, 274, 994, 306, 6295, 519, 13392, 3830, 454, 330, 317, 476, 273, 1341, 737, 910, 272, 815, 476, 271, 454, 2171, 1205, 267, 1109, 737, 284, 910, 272, 1341, 18414, 276, 454, 7775, 1109, 737, 815, 910, 272, 910, 18414, 276, 454, 330, 815, 476, 272, 269, 2190, 1315, 273, 1109, 610, 5231, 910, 274, 269, 2190, 270, 476, 273, 476, 955, 268, 630, 275, 994, 296, 3913, 1681, 519, 2942, 1871, 267, 7311, 630, 272, 264, 538, 7117, 1109, 1306, 4939, 540, 533, 815, 7117, 1315, 533, 2608, 476, 1911, 454, 284, 737, 2608, 476, 1911, 454, 3383, 267, 689, 3830, 476, 955, 630, 275, 994, 336, 1306, 4939, 540, 533, 815, 1109, 630, 476, 272, 269, 2190, 1315, 476, 273, 3738, 2608, 476, 1911, 454, 284, 476, 7830, 30515, 27309, 3582, 281, 476, 274, 692, 2162, 14076, 2465, 341, 1207, 903, 1434, 4502, 12652, 269, 476, 277, 4792, 271, 269, 1261, 4991, 513, 6450, 622, 540, 476, 277, 260, 593, 621, 269, 2991, 3478, 519, 6450, 622, 267, 646, 17188, 6455, 3454, 7711, 476, 1015, 10065, 4855, 519, 2179, 646, 786, 723, 547, 2628, 585, 519, 5370, 780, 11405, 1384, 3725, 321, 622, 815, 476, 277, 4939, 540, 12652, 269, 476, 277, 4792, 271, 454, 284, 12652, 269, 630, 277, 1315, 476, 1911, 1535, 476, 277, 4792, 271, 264, 815, 12652, 269, 476, 274, 4200, 563, 306, 2297, 3454, 815, 476, 1015, 260, 540, 12652, 15301, 277, 4792, 271, 910, 476, 274, 4200, 994, 284, 12652, 269, 630, 1015, 1315, 476, 1911, 1535, 476, 27698, 272, 264, 815, 12652, 269, 27698, 269, 1015, 454, 30043, 1109, 29806, 2179, 815, 12652, 269, 630, 27698, 272, 1341, 476, 27698, 269, 1015, 994, 284, 12652, 269, 6924, 278, 277, 269, 1015, 692, 27309, 3582, 281, 476, 275, 692, 2252, 519, 3902, 540, 4620, 1503, 4679, 676, 476, 1839, 260, 543, 645, 21672, 30242, 547, 6108, 1152, 606, 3606, 476, 1428, 260, 593, 4620, 1503, 267, 676, 875, 1454, 4939, 786, 646, 2569, 519, 7274, 540, 4620, 1503, 12349, 2496, 11405, 1384, 10112, 2541, 602, 519, 3355, 3902, 540, 476, 272, 22175, 516, 4620, 1503, 815, 12652, 269, 1911, 454, 289, 21672, 22939, 12652, 269, 1911, 585, 4620, 1503, 2676, 7945, 602, 645, 21672, 1207, 903, 476, 272, 1396, 516, 540, 4620, 1503, 454, 5475, 519, 2333, 676, 476, 1839, 9077, 3902, 540, 476, 272, 22175, 516, 4620, 1503, 815, 476, 1911, 1535, 630, 1911, 1341, 476, 1839, 264, 1315, 476, 1911, 454, 284, 12652, 269, 476, 10219, 454, 7712, 645, 21672, 22939, 3606, 476, 1428, 260, 593, 4620, 1503, 2676, 26920, 6170, 676, 645, 21672, 21591, 1911, 1535, 630, 1911, 1341, 476, 1428, 264, 1315, 476, 1911, 815, 12652, 269, 12893, 454, 17798, 10829, 640, 540, 4620, 1503, 602, 646, 666, 6718, 815, 476, 12893, 270, 10219, 22175, 516, 454, 23797, 640, 540, 4620, 1503, 4389, 21591, 263, 272, 910, 476, 12893, 1315, 476, 10219, 264, 22175, 516, 454, 8110, 1417, 720, 10829, 640, 540, 5786, 21591, 263, 272, 910, 476, 12893, 1315, 476, 10219, 264, 1315, 476, 272, 1535, 476, 1911, 454, 284, 476, 1015, 1315, 476, 10219, 1535, 476, 1911, 454, 284, 476, 1015, 1315, 476, 276, 1535, 476, 275, 454, 284, 476, 273, 1535, 476, 275, 454, 284, 476, 279, 30515, 27309, 3582, 281, 476, 276, 692, 4002, 1250, 11078, 781, 476, 1428, 628, 14512, 267, 1352, 729, 476, 14689, 4699, 538, 4463, 267, 2348, 6738, 476, 277, 260, 2094, 519, 1032, 1354, 269, 1215, 7381, 729, 1352, 519, 3105, 1032, 2496, 11405, 1384, 11693, 602, 4463, 593, 476, 1428, 628, 14512, 815, 476, 14689, 4699, 543, 454, 29115, 815, 476, 277, 14999, 4131, 519, 3105, 1032, 4463, 815, 1535, 454, 10190, 4463, 593, 476, 1428, 628, 14512, 21591, 343, 2608, 1109, 263, 1911, 1341, 476, 277, 264, 1315, 476, 1911, 815, 1535, 2608, 476, 11793, 1315, 476, 1911, 454, 22382, 1109, 14689, 815, 1535, 2608, 1109, 11793, 1315, 476, 1911, 454, 22382, 1109, 343, 815, 476, 14689, 2608, 1109, 1911, 1315, 476, 11793, 454, 22382, 1109, 343, 815, 476, 272, 269, 276, 2608, 1109, 1911, 815, 476, 5611, 4699, 692, 27309, 3582, 281, 476, 277, 692, 288, 2875, 16611, 513, 1297, 676, 476, 274, 270, 276, 3079, 540, 476, 276, 270, 274, 269, 1548, 568, 519, 6871, 5470, 538, 519, 9819, 2496, 11405, 1384, 4131, 519, 1297, 815, 476, 272, 692, 10190, 267, 23679, 646, 1058, 723, 16611, 476, 272, 676, 476, 276, 270, 274, 780, 17798, 519, 2953, 1267, 729, 476, 272, 1535, 630, 276, 270, 274, 264, 815, 630, 276, 270, 274, 2020, 3528, 12161, 267, 646, 16611, 476, 272, 676, 476, 274, 270, 276, 780, 17798, 519, 1267, 609, 519, 5470, 815, 476, 272, 1535, 630, 274, 270, 276, 264, 815, 630, 274, 270, 276, 2020, 27309, 3582, 281, 476, 278, 692, 1103, 513, 1978, 1153, 267, 476, 736, 260, 540, 1053, 616, 2630, 476, 279, 1296, 540, 2085, 269, 634, 1297, 540, 1053, 1657, 476, 279, 1296, 540, 2085, 568, 476, 273, 270, 274, 540, 519, 1297, 540, 1053, 540, 476, 279, 1296, 540, 2085, 799, 568, 476, 4366, 269, 1548, 568, 519, 2698, 1297, 540, 1053, 538, 519, 1153, 2496, 11405, 1384, 4131, 519, 1297, 540, 1053, 581, 1109, 343, 269, 3973, 2676, 10831, 540, 1053, 1657, 476, 279, 1296, 540, 2085, 815, 630, 1911, 910, 476, 736, 264, 260, 540, 1109, 343, 454, 284, 476, 3199, 260, 540, 1109, 343, 563, 30043, 1109, 3199, 260, 540, 1535, 815, 476, 4366, 1341, 476, 273, 1315, 476, 274, 540, 476, 4366, 454, 22382, 1109, 3199, 1315, 476, 1911, 1535, 815, 476, 3199, 454, 22382, 1109, 343, 815, 476, 1911, 780, 27309, 3582, 281, 476, 279, 692, 763, 2551, 540, 513, 4884, 2799, 689, 476, 272, 267, 4037, 267, 1822, 547, 476, 273, 267, 7830, 267, 4335, 538, 513, 8717, 269, 634, 3328, 2600, 2333, 540, 2551, 829, 1032, 568, 1384, 11405, 1384, 19102, 848, 538, 476, 1015, 1296, 815, 630, 26783, 4335, 910, 476, 11260, 1822, 264, 815, 476, 279, 4037, 876, 454, 19102, 848, 260, 815, 630, 279, 4037, 876, 1315, 476, 11260, 1822, 1535, 476, 1911, 264, 4939, 815, 476, 2004, 14999, 30043, 22490, 3328, 815, 630, 2004, 1315, 476, 1015, 264, 260, 815, 476, 276, 30515, 27309, 3582, 281, 476, 280, 692, 6635, 684, 3893, 476, 1789, 260, 540, 519, 5021, 7436, 538, 606, 6514, 543, 8959, 676, 476, 1015, 7436, 269, 1717, 267, 2672, 329, 603, 945, 3576, 519, 1482, 6514, 3893, 476, 2412, 260, 540, 519, 2698, 7436, 543, 3893, 476, 1428, 7436, 811, 982, 519, 8429, 7436, 269, 1548, 941, 519, 8429, 7436, 538, 519, 6514, 2496, 11405, 1384, 4131, 1535, 568, 519, 5021, 7436, 540, 519, 6514, 454, 300, 10225, 602, 1488, 684, 3893, 815, 476, 1789, 4939, 540, 1535, 454, 284, 476, 1789, 343, 1315, 476, 1911, 454, 11693, 602, 1488, 684, 8959, 676, 476, 1015, 7436, 454, 22382, 29358, 10426, 4460, 454, 284, 1109, 1109, 1789, 343, 1315, 476, 1911, 1341, 476, 1015, 2807, 263, 13420, 566, 476, 272, 994, 300, 10225, 602, 2672, 329, 603, 3893, 815, 476, 2412, 4939, 540, 1535, 454, 284, 476, 2412, 343, 1315, 476, 1911, 454, 11693, 602, 2672, 329, 603, 3893, 476, 1428, 7436, 811, 982, 519, 8429, 7436, 454, 22382, 1109, 2412, 343, 1315, 476, 1911, 815, 29358, 10426, 4460, 1341, 476, 1428, 454, 22382, 1109, 14737, 3065, 10426, 4460, 454, 284, 476, 2412, 343, 1315, 476, 1911, 910, 476, 1428, 1862, 263, 13420, 566, 476, 273, 994, 5804, 4834, 476, 272, 543, 476, 273, 267, 649, 723, 454, 1789, 343, 1315, 476, 1911, 1341, 476, 1015, 815, 476, 2412, 343, 1315, 476, 1911, 910, 476, 1428, 454, 22382, 1109, 1015, 343, 1315, 476, 1911, 815, 476, 1015, 1341, 476, 1428, 815, 476, 1839, 454, 22382, 1109, 343, 1315, 476, 1015, 815, 476, 1839, 454, 22382, 1109, 16655, 3065, 7436, 540, 519, 6514, 815, 1535, 815, 476, 7742, 454, 27802, 23082, 519, 1871, 540, 1535, 538, 17817, 476, 272, 267, 649, 723, 454, 14737, 3065, 10426, 4460, 815, 630, 1789, 343, 1315, 476, 1911, 264, 1341, 476, 1015, 815, 630, 1789, 1535, 476, 7742, 1315, 476, 1911, 264, 1341, 476, 1015, 454, 284, 476, 4037, 1341, 476, 1015, 454, 284, 476, 5952, 692, 27309, 3582, 281, 476, 1015, 692, 303, 568, 2111, 547, 798, 513, 4062, 540, 960, 538, 476, 1428, 2395, 543, 1627, 666, 798, 519, 1482, 960, 538, 476, 736, 2395, 269, 1403, 789, 666, 960, 1927, 585, 476, 275, 2395, 267, 1018, 568, 519, 6824, 540, 960, 2451, 2496, 11405, 1384, 272, 1485, 781, 960, 540, 533, 815, 476, 272, 1315, 476, 1428, 692, 272, 1485, 781, 960, 540, 7117, 815, 476, 272, 1315, 476, 736, 692, 272, 1485, 781, 960, 540, 1312, 815, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3963, 6496, 10979, 31201, 6435, 609, 1546, 10879, 888, 296, 576, 8645, 814, 1044, 3254, 547, 723, 513, 22196, 1198, 593, 2550, 609, 12110, 269, 2290, 2601, 1946, 1281, 4672, 8645, 948, 609, 12110, 568, 602, 621, 5713, 607, 513, 2318, 30411, 269, 3509, 1004, 723, 2318, 4664, 2404, 609, 4672, 8645, 267, 607, 621, 779, 1419, 2938, 607, 513, 1521, 610, 8007, 269, 1879, 513, 3461, 609, 12110, 568, 4743, 21616, 610, 13347, 267, 5356, 873, 4672, 8645, 666, 948, 547, 6521, 741, 1445, 547, 519, 2318, 1995, 540, 4189, 519, 1521, 563, 5194, 2601, 1946, 1281, 4672, 8645, 948, 609, 12110, 949, 948, 609, 12110, 568, 602, 621, 22262, 519, 2504, 540, 968, 10623, 601, 3766, 797, 892, 6464, 538, 519, 2634, 267, 971, 607, 22515, 543, 22006, 269, 1452, 6464, 666, 948, 547, 2087, 7099, 543, 2569, 4606, 540, 4160, 543, 4965, 269, 0, 2026, 513, 1267, 540, 519, 1376, 540, 513, 2518, 15435, 267, 3885, 723, 9862, 547, 513, 2656, 6521, 547, 2228, 18375, 269, 594, 5941, 519, 968, 763, 12186, 540, 6732, 4065, 593, 19198, 892, 538, 713, 2022, 563, 6097, 547, 519, 2475, 17227, 13163, 779, 5600, 3835, 17240, 572, 11752, 267, 1282, 519, 5046, 268, 866, 12176, 267, 476, 11152, 2600, 540, 3885, 609, 1153, 21943, 1453, 8246, 930, 1106, 540, 13998, 11397, 1565, 267, 609, 519, 5354, 540, 1346, 5321, 1210, 930, 1106, 540, 2228, 1565, 563, 6624, 3885, 723, 1336, 519, 1847, 2352, 269, 13722, 13867, 3885, 723, 1044, 25409, 12936, 676, 10333, 7965, 267, 607, 789, 949, 3668, 1569, 547, 1079, 2629, 3334, 540, 2228, 1565, 281, 1164, 18286, 4950, 543, 513, 2780, 563, 763, 2817, 4065, 5948, 630, 301, 12788, 264, 9193, 602, 476, 1724, 269, 276, 2929, 1053, 9907, 476, 276, 547, 476, 1704, 798, 711, 723, 1569, 547, 891, 4066, 563, 293, 7056, 625, 723, 849, 17388, 547, 1174, 875, 2228, 1565, 7506, 741, 1453, 779, 2069, 543, 1646, 267, 607, 1134, 607, 1753, 1894, 269, 1306, 3506, 543, 3237, 4188, 547, 519, 6855, 779, 30331, 10052, 267, 1312, 519, 2640, 543, 19363, 1831, 2312, 563, 6097, 547, 10319, 1382, 676, 519, 715, 12788, 543, 519, 2817, 623, 14011, 593, 519, 1764, 540, 2228, 2069, 267, 5103, 4743, 2604, 689, 1565, 267, 3929, 267, 2804, 267, 543, 1072, 2591, 267, 1034, 1053, 2161, 789, 616, 13844, 513, 1434, 2069, 563, 2710, 596, 1616, 519, 700, 5960, 3760, 286, 8437, 1934, 547, 1265, 856, 811, 454, 25842, 540, 22647, 4804, 593, 5753, 779, 4065, 454, 763, 12186, 540, 6732, 4065, 593, 19198, 0, 19878, 476, 1839, 267, 476, 1708, 274, 454, 288, 717, 1778, 5794, 331, 3424, 585, 12907, 454, 25363, 13586, 513, 10286, 2011, 331, 3424, 585, 12907, 1131, 581, 519, 6654, 1259, 547, 8661, 519, 476, 4037, 628, 16683, 1032, 540, 519, 12670, 5794, 331, 3424, 267, 799, 729, 5342, 689, 4873, 476, 3707, 279, 547, 5181, 476, 3707, 280, 269, 3807, 607, 519, 1967, 540, 519, 12670, 2011, 331, 3424, 729, 606, 19849, 14536, 547, 519, 8168, 5742, 267, 513, 3811, 10286, 2011, 331, 3424, 1131, 581, 19849, 23035, 547, 519, 6739, 5718, 269, 772, 2529, 269, 543, 3703, 2011, 4229, 24363, 936, 12670, 811, 982, 476, 7742, 267, 1822, 2053, 267, 21177, 29476, 971, 607, 4492, 543, 1426, 269, 769, 519, 476, 1428, 18881, 1974, 540, 519, 2011, 331, 3424, 267, 936, 1079, 2929, 9748, 941, 9447, 267, 5097, 5755, 267, 609, 835, 7077, 8757, 12670, 1169, 476, 1789, 7643, 693, 519, 4463, 540, 519, 2011, 331, 3424, 563, 763, 6739, 3625, 1228, 540, 12907, 543, 519, 26645, 540, 1883, 5989, 538, 519, 2823, 2749, 540, 744, 12549, 320, 267, 1519, 11491, 2456, 267, 814, 2813, 513, 1426, 6433, 538, 519, 5664, 5101, 543, 4000, 269, 634, 6739, 15639, 689, 513, 29505, 4308, 602, 1185, 4847, 12907, 547, 13143, 10286, 547, 1158, 6990, 998, 519, 4563, 7256, 543, 519, 16788, 540, 744, 12549, 320, 28263, 519, 1699, 6739, 2011, 5859, 538, 12907, 269, 634, 28592, 267, 32047, 267, 723, 12219, 547, 2015, 1022, 9635, 18188, 547, 21977, 16788, 538, 519, 4563, 7256, 547, 581, 8876, 4108, 18535, 543, 723, 13175, 2661, 1922, 790, 2259, 1996, 19742, 11288, 538, 519, 4563, 7256, 609, 4550, 1606, 1222, 23593, 28862, 563, 1103, 1840, 547, 519, 6739, 3625, 1228, 540, 12907, 267, 2947, 6239, 3864, 6082, 723, 7479, 12184, 519, 3864, 5742, 547, 8831, 519, 7333, 593, 21977, 10286, 20558, 2394, 519, 1439, 540, 519, 1032, 269, 31697, 267, 21640, 267, 12996, 267, 27597, 267, 543, 30355, 25474, 723, 17049, 6469, 6455, 540, 21977, 10568, 267, 22959, 267, 543, 30011, 5452, 267, 4352, 789, 11863, 18302, 540, 971, 18535, 585, 13143, 11992, 563, 2005, 568, 4401, 545, 602, 891, 6239, 3864, 2829, 616, 2870, 2804, 2042, 585, 12907, 1317, 789, 616, 267, 693, 519, 1482, 942, 267, 5458, 4108, 18793, 540, 12907, 269, 1358, 723, 9901, 602, 21977, 10286, 814, 10413, 741, 8105, 9922, 267, 543, 723, 17049, 519, 9042, 540, 12907, 779, 10568, 538, 741, 6990, 269, 634, 12900, 540, 519, 4308, 547, 1450, 4563, 7256, 18666, 689, 12907, 786, 22009, 519, 2845, 6750, 4420, 6352, 1815, 802, 538, 6239, 2342, 267, 543, 7794, 519, 2013, 585, 513, 5375, 2011, 331, 3424, 563, 305, 17892, 543, 12907, 616, 1079, 540, 519, 4102, 1163, 13024, 540, 10286, 538, 519, 1158, 269, 6576, 568, 519, 4102, 1163, 7163, 267, 3743, 585, 5176, 476, 1839, 2600, 540, 2518, 18666, 540, 10568, 267, 543, 621, 15069, 2640, 689, 519, 9000, 540, 6735, 689, 12907, 269, 12907, 568, 3743, 585, 5176, 4557, 2600, 540, 10286, 18666, 563, 2467, 1131, 581, 1713, 2845, 6750, 543, 1942, 8374, 540, 1022, 2011, 331, 3424, 267, 855, 972, 568, 1100, 2243, 602, 519, 2136, 2276, 814, 519, 544, 2135, 773, 543, 519, 2011, 331, 3424, 12588, 547, 2932, 971, 606, 5106, 269, 634, 772, 2529, 269, 5794, 22994, 1006, 16710, 2488, 2011, 331, 3424, 543, 19666, 1201, 3241, 532, 585, 519, 11439, 4229, 267, 543, 24114, 814, 922, 1378, 21864, 5794, 331, 3424, 7167, 1464, 267, 513, 29505, 11036, 602, 2488, 2011, 331, 3424, 12588, 547, 10283, 6082, 269, 634, 772, 2529, 269, 5794, 10414, 814, 811, 982, 476, 1220, 595, 268, 1704, 338, 585, 971, 606, 2011, 331, 3424, 607, 1134, 607, 1614, 2010, 540, 2011, 1201, 3241, 532, 8484, 630, 298, 290, 268, 13670, 31854, 582, 1678, 619, 267, 918, 268, 1015, 6987, 11367, 267, 543, 918, 290, 268, 5379, 623, 1122, 30510, 1916, 763, 13529, 2011, 331, 3424, 538, 476, 1708, 272, 729, 26832, 538, 2474, 540, 922, 9165, 267, 3914, 267, 543, 6988, 267, 543, 519, 772, 2529, 269, 5794, 10414, 1058, 723, 4607, 811, 5491, 585, 519, 4102, 1875, 10687, 321, 520, 656, 27549, 2011, 331, 3424, 538, 772, 2529, 269, 1686, 269, 634, 13529, 2011, 331, 3424, 729, 3677, 982, 519, 2011, 331, 3424, 689, 10476, 610, 1022, 2147, 4674, 1282, 2622, 2782, 5565, 610, 519, 11114, 2782, 269, 3683, 513, 476, 1704, 6377, 1974, 267, 5176, 476, 8517, 19742, 543, 4108, 8484, 689, 811, 982, 476, 1789, 6082, 9108, 17355, 18050, 5215, 540, 1004, 538, 606, 2011, 331, 3424, 602, 838, 10165, 8370, 2477, 267, 5216, 942, 10851, 267, 543, 811, 982, 4557, 10151, 2922, 688, 26223, 269, 634, 3354, 3510, 538, 15787, 729, 2484, 8338, 982, 4376, 602, 1223, 4161, 606, 2011, 331, 3424, 689, 12907, 538, 2070, 540, 519, 1249, 602, 2011, 6808, 27196, 1185, 19679, 918, 5429, 779, 1292, 19633, 1813, 547, 519, 14016, 908, 3354, 3510, 269, 8422, 9002, 941, 9447, 593, 23197, 595, 268, 1704, 338, 563, 1103, 1840, 547, 519, 12670, 2011, 331, 3424, 267, 513, 19742, 2011, 331, 3424, 476, 4649, 1296, 3516, 4547, 476, 2568, 267, 1822, 9748, 540, 5351, 547, 519, 1004, 540, 645, 807, 325, 571, 538, 25878, 13280, 267, 1141, 930, 476, 1015, 267, 1822, 1004, 513, 1554, 941, 12955, 1813, 547, 513, 3625, 1228, 269, 634, 645, 807, 325, 3757, 2011, 331, 3424, 568, 2808, 513, 24659, 4090, 538, 3486, 19493, 1143, 1317, 621, 729, 519, 1101, 942, 4357, 4961, 543, 1875, 2889, 22327, 3366, 519, 3210, 547, 971, 513, 6433, 269, 6428, 1540, 3165, 729, 513, 1883, 6221, 538, 519, 2011, 331, 3424, 1317, 645, 807, 325, 4920, 3893, 741, 3940, 689, 12015, 3165, 269, 9453, 519, 3940, 267, 645, 807, 325, 3757, 1453, 6385, 2919, 513, 3940, 10638, 563, 16729, 519, 12925, 328, 12289, 540, 918, 17703, 7159, 538, 476, 1960, 271, 543, 1991, 547, 519, 1376, 540, 19164, 23566, 267, 5794, 3127, 5280, 17355, 10663, 476, 10204, 267, 1822, 4095, 1163, 27074, 919, 689, 918, 17703, 7159, 936, 513, 1079, 18881, 1974, 269, 5794, 3127, 13234, 5176, 476, 4335, 19426, 1813, 547, 11685, 547, 519, 946, 540, 4108, 8484, 269, 1703, 941, 1713, 2845, 6750, 7965, 1813, 547, 513, 3668, 540, 2951, 6054, 543, 519, 4057, 2792, 602, 11478, 538, 513, 29053, 3510, 267, 799, 1131, 711, 581, 513, 1966, 538, 606, 2011, 331, 3424, 9183, 5473, 12907, 269, 2423, 17067, 713, 1032, 267, 519, 4095, 5794, 10414, 5342, 513, 1507, 2011, 331, 3424, 540, 5176, 476, 272, 267, 4335, 12075, 689, 519, 3540, 2112, 538, 20528, 563, 288, 595, 268, 1704, 12681, 267, 700, 339, 269, 2051, 269, 5261, 9335, 267, 945, 24363, 538, 15051, 27469, 25083, 538, 15787, 267, 6592, 602, 968, 2171, 9447, 4126, 269, 594, 786, 2141, 581, 10583, 540, 602, 1848, 898, 568, 942, 547, 1683, 4126, 547, 519, 1004, 540, 12907, 543, 519, 3486, 2146, 602, 12346, 593, 6928, 906, 540, 10286, 563, 8070, 27771, 281, 594, 1616, 547, 9684, 513, 1434, 3659, 267, 7905, 3057, 1176, 333, 5062, 300, 6563, 267, 585, 11021, 513, 6241, 593, 606, 2011, 331, 3424, 3823, 12907, 267, 543, 19622, 5794, 10414, 29962, 9291, 7137, 787, 585, 1010, 19015, 607, 1134, 269, 7905, 5062, 300, 6563, 267, 606, 4274, 593, 1480, 2924, 543, 3486, 1894, 3069, 267, 568, 513, 3450, 7548, 693, 31869, 1326, 1144, 2160, 269, 29962, 7137, 787, 729, 513, 12595, 26393, 693, 519, 2817, 2782, 5441, 538, 519, 476, 2735, 271, 338, 543, 476, 1960, 271, 338, 563, 13146, 5240, 543, 26257, 3883, 454, 763, 21864, 13957, 332, 732, 2334, 7427, 338, 519, 968, 20288, 591, 2782, 7536, 3080, 540, 891, 2395, 267, 519, 968, 1150, 591, 2112, 892, 1063, 6576, 543, 12907, 786, 581, 936, 267, 543, 519, 3978, 4161, 540, 7231, 609, 519, 7580, 21083, 640, 540, 519, 2136, 2276, 267, 6576, 267, 543, 3624, 786, 2253, 269, 634, 24068, 7245, 814, 7294, 713, 4305, 676, 13197, 513, 4640, 540, 968, 706, 531, 2270, 618, 2223, 18468, 602, 519, 2136, 2276, 666, 968, 935, 1555, 892, 1312, 6576, 543, 3624, 269, 9521, 519, 8168, 5742, 540, 519, 12019, 2782, 5736, 267, 3624, 3112, 581, 968, 935, 22633, 1848, 898, 568, 513, 2518, 2804, 543, 2797, 1379, 607, 1134, 607, 513, 23773, 4108, 1379, 538, 519, 21475, 6261, 6680, 3148, 563, 2691, 667, 604, 328, 570, 809, 593, 519, 31835, 3683, 32202, 675, 454, 25802, 1906, 6845, 2209, 723, 1044, 8348, 547, 10994, 519, 4430, 525, 1369, 519, 4987, 2146, 267, 855, 27737, 667, 1014, 928, 3171, 14852, 630, 291, 270, 7563, 264, 814, 1044, 513, 24123, 9868, 547, 602, 4341, 269, 8644, 5644, 543, 18523, 11309, 12579, 941, 513, 2101, 851, 540, 4446, 871, 15525, 779, 14218, 1890, 950, 646, 10443, 585, 7022, 538, 476, 1220, 279, 267, 543, 789, 1185, 513, 1318, 547, 2503, 1010, 7245, 547, 8495, 519, 31835, 779, 1982, 540, 25711, 543, 6057, 269, 0, 300, 27467, 568, 513, 11295, 1184, 2966, 547, 948, 6105, 8207, 31713, 3540, 6927, 269, 634, 834, 9712, 1807, 257, 568, 513, 9243, 1268, 267, 8036, 543, 9952, 693, 14123, 10618, 267, 16395, 267, 543, 15539, 6571, 563, 1103, 606, 32404, 23312, 267, 519, 9243, 5428, 630, 1492, 11737, 15249, 264, 6411, 607, 513, 9794, 538, 6217, 2963, 543, 17021, 513, 3375, 269, 1635, 4334, 267, 513, 18657, 1807, 1281, 711, 5873, 2963, 6862, 11904, 513, 3375, 269, 589, 18657, 1807, 1568, 609, 782, 6105, 547, 1265, 513, 3070, 602, 568, 11807, 547, 782, 6105, 269, 2405, 2747, 1281, 711, 1439, 538, 513, 834, 7773, 1676, 2389, 820, 22433, 257, 270, 257, 331, 29141, 2389, 820, 5991, 5847, 257, 3375, 269, 2405, 2747, 7475, 950, 782, 6105, 1265, 513, 3070, 782, 6105, 666, 2661, 609, 734, 320, 20102, 11807, 6571, 563, 21798, 540, 22175, 12720 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 325, 576, 764, 27219, 278, 12711, 3445, 275, 26326 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 263, 5793, 10094, 2187, 825, 3193, 318, 7741, 815, 476, 271, 454, 825, 585, 642, 538, 11996, 912, 1038, 11623, 284, 272, 454, 1038, 585, 579, 538, 11996, 912, 2018, 952, 579, 314, 271, 316, 285, 341, 314, 271, 316, 543, 579, 314, 271, 316, 283, 341, 314, 272, 14158, 3546, 11623, 6834, 476, 272, 454, 1038, 952, 11623, 3436, 3193, 318, 7741, 281, 3193, 318, 7741, 815, 11623, 11434, 454, 825, 2132, 3193, 318, 7741, 692, 937, 999, 815, 27883, 1789, 267, 476, 4037, 1070, 630, 271, 267, 476, 2004, 1070, 630, 2568, 267, 476, 5611, 22708, 2745, 3488, 16655, 10162, 1682, 3299, 1265, 5332, 337, 318, 7741, 263, 937, 999, 4297, 1038 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 729, 10413, 543, 3459, 547, 29153, 540, 519, 21024, 779, 2932, 267, 543, 713, 4682, 593, 547, 971, 606, 6708, 602, 519, 21024, 729, 7142, 547, 17246, 573, 5128, 540, 3346, 609, 25795, 344, 1695, 865, 607, 547, 23641, 670, 2378, 338, 1695, 269, 1809, 538, 2132, 267, 646, 4280, 670, 2378, 338, 1695, 711, 547, 2820, 592, 613, 713, 2339, 547, 4896, 267, 543, 1832, 547, 9887, 713, 5728, 607, 1134, 607, 824, 11580, 646, 1185, 5143, 1200, 269, 1809, 267, 5103, 782, 519, 12981, 540, 519, 21024, 267, 1352, 23304, 12023, 1010, 6044, 543, 2820, 592, 3022, 1010, 5728, 547, 2048, 288, 685, 880, 1695, 547, 6443, 1200, 538, 1200, 2577, 5209, 269, 4256, 26675, 543, 3765, 2041, 8326, 4682, 593, 547, 971, 606, 6708, 602, 3184, 693, 6874, 1695, 3234, 26731, 585, 740, 3000, 5109, 873, 543, 13031, 741, 6411, 15301, 10619, 264, 3848, 693, 6874, 1695, 3234, 630, 3682, 22128, 264, 769, 519, 2012, 540, 16589, 267, 519, 5484, 1030, 545, 550, 267, 519, 30330, 3814, 476, 272, 268, 271, 21024, 256, 4208, 798, 596, 17246, 573, 3054, 602, 799, 16589, 814, 1500, 1876, 995, 585, 596, 282, 596, 3343, 547, 5225, 707, 24726, 282, 543, 16589, 568, 1280, 15130, 267, 30330, 3814, 269, 476, 273, 5025, 961, 1695, 8197, 814, 7254, 794, 539, 585, 596, 519, 1163, 2747, 540, 707, 522, 23411, 543, 16589, 568, 707, 5019, 10725, 543, 1261, 568, 519, 18833, 267, 519, 29216, 269, 476, 274, 268, 4517, 950, 519, 21024, 31205, 28078, 513, 4062, 540, 476, 5780, 454, 9917, 1767, 281, 5808, 5483, 596, 540, 713, 286, 1261, 1767, 281, 634, 18833, 269, 11097, 3298, 543, 2205, 326, 1231, 269, 476, 276, 5336, 599, 2041, 269, 543, 621, 729, 1767, 281, 9373, 1312, 519, 3595, 609, 1346, 945, 4283, 269, 6148, 707, 7083, 786, 4894, 689, 596, 707, 9409, 543, 2014, 596, 547, 4283, 10651, 9944, 799, 8933, 2095, 269, 476, 280, 268, 271, 21024, 256, 5899, 633, 2182, 1996, 519, 796, 29207, 951, 543, 519, 3834, 665, 27866, 269, 476, 277, 268, 271, 596, 945, 3494, 256, 16440, 707, 2383, 543, 707, 3885, 689, 513, 3595, 4171, 4492, 568, 2367, 543, 10007, 269, 936, 621, 616, 23109, 29523, 543, 2178, 269, 543, 952, 596, 1394, 909, 1142, 824, 1996, 1864, 1287, 15983, 16589, 621, 568, 5808, 568, 1010, 26851, 269, 855, 789, 19500, 30217, 3585, 2509, 873, 865, 789, 1992, 539, 873, 562, 4381, 1996, 16589, 269, 15983, 774, 537, 814, 1379, 936, 782, 1919, 269, 865, 950, 646, 5483, 1200, 540, 621, 269, 1010, 7083, 269, 535, 7539, 269, 476, 275, 268, 2252, 596, 1312, 2490, 547, 16589, 269, 543, 9886, 721, 4027, 269, 1287, 8197, 707, 12271, 616, 2907, 20916, 547, 713, 269, 4050, 527, 550, 269, 646, 1500, 1634, 851, 540, 621, 543, 14284, 851, 269, 543, 28792, 543, 519, 21071, 602, 798, 1434, 269, 789, 4927, 2161, 281, 3776, 7083, 256, 5269, 3501, 585, 721, 938, 1769, 269, 952, 646, 16028, 596, 269, 596, 4927, 581, 30039, 1152, 2687, 547, 1018, 596, 1705, 269, 740, 648, 3464, 269, 543, 9409, 568, 519, 18992, 269, 5483, 803, 269, 21705, 269, 543, 16589, 1500, 1864, 547, 917, 621, 269, 519, 8250, 540, 1955, 3757, 269, 543, 798, 607, 789, 616, 26017, 269, 1073, 539, 1304, 269, 22347, 1170, 633, 269, 543, 581, 2182, 1996, 873, 269, 476, 279, 268, 271, 596, 945, 3494, 256, 12414, 547, 16589, 513, 25442, 7432, 269, 543, 741, 705, 1712, 568, 22946, 269, 476, 1015, 5025, 961, 1695, 5036, 8521, 606, 1383, 547, 1346, 945, 771, 10964, 10079, 519, 7385, 540, 715, 7795, 543, 519, 7385, 540, 700, 583, 281, 789, 941, 1312, 896, 1079, 540, 3776, 22233, 22063, 269, 15574, 547, 835, 540, 1010, 24726, 1532, 583, 950, 1352, 5483, 1866, 540, 621, 269, 543, 519, 23109, 1310, 602, 616, 519, 5351, 619, 269, 476, 278, 268, 271, 596, 945, 771, 10964, 10079, 256, 1684, 711, 20882, 2300, 4926, 2221, 269, 786, 2285, 1864, 538, 707, 1747, 24726, 1732, 982, 596, 269, 593, 519, 1554, 593, 799, 16589, 786, 711, 705, 848, 519, 21024, 543, 1346, 945, 3494, 609, 1864, 269, 543, 5838, 803, 689, 519, 24407, 1004, 269, 476, 1321, 268, 4517, 6307, 269, 789, 798, 711, 27136, 5674, 16589, 538, 1018, 1261, 12981, 873, 269, 476, 1556, 5025, 332, 27306, 16589, 5036, 8521, 606, 1383, 547, 1346, 945, 3494, 519, 7385, 540, 31279, 950, 1352, 1767, 281, 3733, 7083, 256, 1628, 585, 803, 513, 2777, 609, 634, 324, 538, 519, 4677, 543, 5838, 803, 689, 31279, 543, 1010, 3257, 269, 945, 9856, 539, 1996, 476, 6858, 1547, 519, 2290, 589, 2264, 269, 741, 1769, 4927, 2196, 593, 1354, 873, 543, 593, 741, 1318, 3946, 563, 6924, 1547, 5969, 621, 909, 543, 26084, 621, 538, 1200, 2012, 269, 2048, 288, 685, 880, 1695, 543, 29946, 540, 10609, 611, 6359, 1695, 4014, 594, 1185, 711, 2938, 10609, 611, 6359, 1695, 15301, 4037, 264, 1879, 649, 1865, 519, 26492, 540, 2048, 288, 649, 786, 3717, 538, 1469, 827, 873, 269, 8250, 540, 10609, 340, 3118, 19921, 269, 543, 646, 4749, 14894, 539, 513, 13265, 538, 1200, 2012, 269, 10609, 29951, 26400, 779, 11078, 269, 9039, 540, 519, 21024, 779, 24726, 941, 26195, 1221, 676, 803, 607, 1454, 607, 1352, 729, 269, 4280, 519, 21024, 547, 1294, 1864, 269, 8250, 540, 2048, 308, 3405, 16481, 333, 620, 298, 1002, 339, 629, 269, 1879, 646, 4862, 1200, 5639, 269, 543, 2048, 308, 3405, 519, 2034, 1608, 13023, 269, 585, 269, 2048, 288, 685, 880, 1695, 772, 7825, 620, 5336, 340, 685, 2381, 514, 2048, 288, 685, 880, 1695, 3081, 281, 968, 763, 2601, 585, 1250, 30983, 2509, 10609, 29951, 26400, 729, 602, 646, 1419, 12038, 540, 1200, 543, 26916, 1200, 269, 543, 670, 2378, 338, 1695, 269, 865, 1284, 3826, 1117, 883, 1200, 540, 3776, 6667, 543, 1352, 7608, 519, 5168, 540, 519, 1913, 540, 1200, 7083, 543, 3571, 2835, 269, 543, 1767, 281, 2048, 271, 2696, 269, 1352, 3081, 281, 968, 5475, 713, 13889, 15301, 6507, 264, 2701, 849, 1936, 919, 281, 968, 3080, 1554, 16199, 1695, 269, 519, 21024, 1419, 12038, 9299, 2358, 540, 1200, 269, 646, 8604, 10393, 547, 3314, 10609, 29951, 26400, 543, 729, 7184, 6410, 269, 20845, 545, 3848, 968, 520, 6874, 1695, 3234, 892, 729, 26731, 827, 2048, 288, 685, 880, 1695, 269, 615, 669, 770, 640, 269, 26550, 1221, 9039, 540, 519, 21024, 779, 24726, 607, 1454, 607, 594, 26195, 1221, 10609, 611, 6359, 1695, 269, 543, 1352, 729, 540, 519, 1073, 539, 1304, 3283, 269, 621, 568, 16199, 1695, 256, 685, 3733, 30983, 729, 865, 678, 748, 539, 2509, 10609, 611, 272, 26400, 602, 594, 1767, 693, 2899, 281, 2048, 3963, 798, 596, 3717, 865, 1454, 540, 602, 5694, 1652, 2372, 7590, 6062, 2025, 4807, 286, 2701, 814, 1044, 4666, 1279, 3516, 543, 2696, 814, 11292, 596, 2576, 1732, 982, 1200, 256, 685, 968, 263, 4281, 264, 769, 1776, 32538, 269, 2523, 607, 2696, 1185, 5483, 1864, 998, 13414, 602, 513, 1360, 15999, 19289, 1185, 1044, 11292, 547, 1200, 538, 13140, 968, 263, 10602, 264, 2701, 2417, 3081, 281, 4014, 594, 1185, 2760, 2938, 10609, 611, 6359, 1695, 269, 646, 535, 27547, 543, 729, 865, 6410, 519, 899, 540, 799, 594, 1185, 1152, 2938, 693, 519, 8090, 646, 4607, 513, 13414, 269, 8250, 540, 26512, 25234, 337, 269, 543, 713, 1249, 568, 9672, 676, 9937, 540, 5389, 799, 723, 2097, 998, 594, 16818, 2048, 288, 6277, 553, 519, 21024, 779, 23013, 563, 685, 968, 263, 3199, 264, 634, 21024, 2141, 12038, 1134, 540, 10609, 611, 6359, 1695, 543, 6854, 9800, 1200, 3965, 998, 519, 1121, 514, 4593, 1878, 827, 1200, 28908, 543, 1649, 5271, 565, 775, 2509, 1010, 14077, 543, 2828, 10200, 634, 1955, 600, 20147, 1010, 6376, 676, 6031, 281, 2048, 32701, 1848, 476, 7597, 1547, 1403, 1352, 941, 4280, 547, 957, 2509, 1866, 1018, 1352, 814, 2944, 547, 803, 269, 519, 21024, 1767, 281, 2048, 5591, 269, 543, 2696, 786, 581, 519, 9794, 547, 1200, 23339, 269, 9182, 713, 8507, 538, 7494, 2269, 1456, 1200, 1894, 609, 15310, 574, 1695, 519, 8250, 540, 10609, 611, 6359, 1695, 269, 1018, 729, 8338, 568, 519, 14767, 1352, 4862, 519, 21024, 19039, 827, 10609, 29951, 26400, 269, 1547, 543, 950, 2696, 1185, 2016, 803, 1100, 1126, 689, 824, 2021, 269, 1261, 666, 31799, 610, 19439, 4896, 1261, 5418, 1162, 269, 519, 2463, 1813, 547, 1200, 28104, 16856, 269, 1547, 1247, 1352, 9887, 4607, 1152, 1065, 30294, 1848, 2048, 2704, 328, 16481, 333, 2806, 328, 968, 307, 531, 756, 14753, 607, 5205, 827, 2048, 288, 685, 880, 1695, 779, 679, 332, 640, 2509, 5128, 281, 1547, 2290, 1383, 540, 713, 568, 4767, 538, 513, 1650, 1936, 730, 676, 13259, 24703, 538, 713, 4053, 333, 611, 844, 7627, 606, 301, 340, 685, 2006, 5067, 540, 645, 1662, 597, 269, 543, 693, 513, 942, 950, 519, 1004, 1185, 2451, 803, 538, 2269, 527, 2989, 6381, 269, 544, 5417, 2989, 1200, 609, 679, 11803, 269, 621, 729, 10609, 611, 6359, 1695, 945, 9672, 1250, 5168, 6888, 269, 621, 729, 10609, 29951, 26400, 945, 1500, 803, 2671, 1200, 10373, 5763, 269, 543, 1500, 1200, 13889, 4749, 547, 519, 21024, 585, 4304, 1200, 2012, 543, 18110, 1010, 1121, 514, 4593, 1878, 269, 543, 693, 513, 942, 950, 789, 3576, 803, 607, 513, 561, 3511, 269, 1261, 11339, 281, 2290, 1554, 26512, 25234, 337, 5497, 547, 1294, 519, 21024, 269, 898, 729, 891, 6927, 602, 4904, 2048, 288, 685, 880, 1695, 609, 30983, 543, 23998, 2509, 10609, 611, 6359, 1695, 269, 543, 693, 519, 1482, 4090, 646, 4862, 2048, 288, 685, 880, 1695, 779, 22551, 532, 281, 968, 296, 2220, 792, 547, 2696, 594, 917, 1134, 602, 596, 2648, 2048, 2704, 328, 811, 982, 803, 543, 1250, 4651, 269, 2696, 814, 2760, 2016, 803, 835, 1732, 982, 1200, 585, 693, 513, 942, 950, 3025, 2258, 730, 1250, 5692, 269, 1200, 9393, 543, 1010, 1453, 945, 941, 7494, 17329, 676, 1864, 269, 543, 1200, 2295, 568, 28332, 609, 519, 31168, 540, 678, 4545, 528, 543, 679, 332, 640, 2509, 803, 899, 519, 19460, 540, 17051, 19431, 338, 269, 5047, 269, 8072, 3719, 646, 607, 11207, 23304, 12023, 4987, 543, 7326, 9884, 320, 1746, 11816, 13124, 2901, 585, 513, 31676, 5048, 547, 13956, 547, 1864, 610, 10751, 17373, 263, 8064, 264, 769, 1776, 32538, 1352, 4967, 281, 968, 1103, 602, 2783, 269, 1352, 1131, 2760, 3858, 269, 621, 729, 10609, 611, 6359, 1695, 945, 5156, 538, 803, 269, 543, 4758, 10862, 547, 873, 269, 621, 729, 10609, 611, 6359, 1695, 945, 4547, 803, 15556, 779, 563, 3086, 602, 1352, 729, 4666, 269, 543, 849, 2067, 585, 513, 4807, 547, 581, 1654, 343, 539, 693, 1200, 9393, 779, 15754, 585, 713, 8250, 540, 1010, 5449, 7385, 543, 585, 519, 2034, 7385, 1932, 2529, 727, 24616, 827, 594, 16818, 2806, 328, 620, 6953, 611, 573, 620, 5336, 340, 1406, 1794, 8270, 15310, 574, 1695, 729, 7184, 20714, 539, 609, 2048, 288, 685, 880, 1695, 269, 543, 4280, 1864, 547, 2491, 519, 6138, 3297, 1955, 600, 779, 19039, 766, 269, 865, 594, 1590, 26343, 8885, 547, 713, 5618, 2272, 269, 1261, 3081, 281, 1879, 269, 6684, 513, 8250, 20247, 10105, 1200, 4651, 779, 3007, 547, 1776, 4807, 945, 568, 513, 15180, 540, 1200, 3993, 269, 649, 1631, 5873, 519, 1913, 540, 594, 16818, 2806, 328, 620, 6953, 611, 573, 827, 713, 2339, 269, 4634, 952, 10609, 611, 6359, 1695, 941, 1869, 9800, 543, 2048, 288, 685, 880, 1695, 9411, 519, 21024, 779, 2777, 269, 476, 3583, 1547, 5047, 269, 11849, 27691, 599, 16223, 2806, 328, 962, 320, 685, 638, 321, 962, 639, 18860, 269, 1256, 1498, 1352, 568, 1100, 3476, 9800, 269, 1247, 519, 1964, 568, 9553, 1759, 593, 1010, 1378, 2093, 269, 519, 811, 11552, 6470, 2968, 15310, 574, 1695, 543, 729, 811, 7184, 10413, 269, 594, 729, 4974, 18381, 269, 543, 1352, 3576, 1200, 1747, 269, 713, 29383, 1131, 581, 11843, 547, 543, 15110, 676, 1200, 8250, 269, 4171, 5758, 594, 10839, 1934, 269, 1744, 599, 16223, 26512, 962, 320, 685, 638, 321, 3081, 281, 589, 1900, 2173, 1278, 585, 15310, 574, 1695, 634, 29383, 1063, 2048, 288, 685, 880, 1695, 543, 15310, 574, 1695, 3459, 950, 519, 21024, 9310, 589, 685, 880, 1695, 2390, 10609, 611, 6359, 1695, 779, 2669, 269, 594, 16818, 2806, 328 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3289, 9792, 320, 666, 4096, 593, 1141, 621, 568, 12630, 563, 6097, 547, 519, 12202, 3318, 267, 22254, 1058, 4734, 741, 19211, 7899, 540, 4055, 547, 1332, 267, 607, 789, 666, 968, 18943, 7306, 540, 476, 277, 685, 343, 277, 12664, 538, 8006, 3034, 297, 1783, 1767, 267, 968, 22134, 9792, 553, 616, 1390, 585, 1804, 3338, 5115, 539, 2127, 1317, 741, 9649, 18742, 666, 581, 2938, 782, 936, 707, 13452, 543, 1711, 513, 12050, 1198, 563, 2108, 4322, 1970, 5826, 17506, 10118, 616, 849, 9735, 585, 17428, 267, 1175, 1118, 2386, 596, 3442, 513, 1804, 1494, 2450, 547, 2285, 873, 4055, 547, 2731, 3262, 856, 2336, 2108, 2691, 621, 2501, 547, 7446, 1063, 513, 13566, 5544, 610, 513, 695, 8014, 5544, 267, 596, 666, 2965, 2030, 3289, 9792, 553, 538, 1312, 1107, 596, 1175, 723, 547, 3442, 519, 1318, 1826, 540, 2030, 585, 519, 1318, 5544, 3034, 7212, 1034, 3289, 9792, 553, 4782, 9864, 12094, 267, 972, 616, 1082, 8677, 602, 4324, 689, 513, 2407, 3141, 4087, 563, 763, 4274, 15695, 22254, 547, 3442, 513, 3289, 9792, 320, 3443, 10306, 1092, 267, 971, 607, 7799, 601, 697, 267, 25968, 344, 654, 1074, 344, 610, 9741, 700, 830, 585, 2407, 3141, 10651, 269, 0, 1103, 2489, 267, 519, 7664, 540, 7577, 568, 9138, 607, 968, 320, 2754, 602, 2306, 513, 7443, 676, 5356, 513, 1434, 610, 3070, 585, 2724, 1848, 6787, 606, 3919, 1274, 985, 513, 7443, 610, 6382, 267, 621, 779, 2141, 538, 519, 1870, 540, 1818, 513, 7443, 269, 589, 2754, 666, 11338, 581, 606, 3919, 952, 621, 5932, 3688, 610, 2533, 585, 824, 1004, 538, 5385, 585, 6666, 269, 898, 779, 711, 2556, 547, 1711, 513, 8907, 547, 581, 3144, 883, 7156, 513, 3028, 267, 20866, 282, 922, 6852, 3483, 568, 547, 1118, 513, 7443, 563, 2304, 3919, 666, 581, 513, 2582, 11325, 2534, 267, 513, 18596, 14679, 267, 610, 513, 851, 540, 513, 8273, 6109, 269, 898, 666, 4125, 513, 3099, 540, 2238, 267, 855, 3335, 2882, 4247, 28110, 2509, 3246, 5370, 610, 3435, 547, 5561, 269, 1452, 4247, 666, 1331, 2883, 267, 6142, 3795, 267, 11183, 267, 6283, 267, 607, 1134, 607, 3063, 269, 2755, 8907, 568, 519, 3119, 3804, 540, 513, 3028, 267, 621, 666, 849, 3277, 547, 824, 3029, 540, 8907, 267, 9967, 540, 6666, 2724, 543, 849, 1585, 824, 1760, 7724, 269, 2368, 2533, 1256, 2709, 2533, 3842, 30550, 22825, 563, 2026, 519, 7664, 540, 6355, 10953, 267, 811, 12204, 540, 4213, 723, 818, 2213, 269, 2755, 519, 1523, 540, 3028, 814, 2965, 1044, 1472, 585, 5553, 267, 519, 2413, 4214, 13315, 513, 5542, 540, 4247, 267, 8151, 689, 513, 5010, 2534, 547, 513, 2250, 830, 610, 513, 3924, 269, 634, 7443, 6662, 568, 1851, 519, 3119, 4943, 725, 540, 513, 1870, 8227, 607, 1134, 607, 2306, 1978, 519, 1279, 18835, 6940, 540, 513, 6109, 269, 1306, 519, 2495, 540, 513, 3028, 27372, 267, 2533, 1058, 10123, 1331, 513, 3028, 9837, 269, 2755, 3688, 616, 513, 3119, 14487, 540, 513, 1870, 267, 2533, 616, 30608, 543, 849, 666, 711, 581, 9715, 610, 30630, 609, 519, 1184, 540, 1870, 563, 288, 2754, 568, 513, 4305, 799, 5654, 585, 1118, 2724, 689, 519, 9042, 540, 5370, 610, 2533, 269, 634, 4247, 616, 3335, 5340, 585, 7443, 267, 2943, 513, 3028, 666, 10123, 1331, 1875, 20300, 4247, 267, 971, 607, 26988, 18129, 610, 1346, 602, 2417, 513, 1514, 2601, 269, 898, 568, 2556, 547, 4063, 602, 513, 1870, 666, 723, 9271, 267, 855, 621, 1590, 581, 5812, 269, 1403, 513, 2754, 23619, 29939, 902, 4749, 267, 621, 568, 606, 3919, 267, 855, 711, 952, 513, 2582, 4308, 4386, 563, 288, 3028, 568, 513, 3376, 2165, 21214, 4247, 602, 1020, 513, 8907, 269, 1306, 513, 2898, 267, 513, 3028, 5654, 585, 547, 3761, 2472, 610, 3435, 585, 7443, 269, 15380, 267, 519, 4324, 689, 513, 2754, 568, 519, 6221, 540, 519, 4305, 267, 855, 606, 3919, 666, 849, 581, 513, 18758, 11769, 269, 31849, 540, 1870, 723, 513, 2582, 8227, 267, 799, 814, 513, 1906, 5520, 269, 901, 5943, 568, 5219, 547, 607, 606, 3919, 269, 1306, 606, 1383, 267, 513, 6109, 949, 723, 2789, 5520, 563, 2304, 3919, 568, 513, 2754, 602, 2306, 5370, 607, 1134, 607, 2533, 585, 824, 1004, 585, 513, 7443, 269, 898, 666, 711, 581, 606, 3919, 602, 1281, 711, 1118, 2724, 269, 1323, 3919, 568, 849, 3989, 607, 1022, 4305, 602, 7727, 606, 5413, 547, 1776, 11769, 269, 2368, 12204, 540, 3919, 616, 4849, 7443, 1247, 1866, 616, 1875, 17416, 269, 2368, 12204, 540, 3906, 616, 711, 3908, 547, 7443, 6194, 2238, 269, 589, 6109, 602, 568, 513, 2582, 32388, 11208, 568, 513, 585, 17416, 2754, 269, 1924, 548, 32388, 832, 4721, 267, 12352, 267, 543, 14078, 616, 782, 5686, 540, 3906, 563, 288, 3028, 568, 3989, 607, 606, 2534, 602, 7472, 15271, 269, 901, 666, 581, 513, 3028, 267, 513, 3924, 267, 610, 513, 5010, 2534, 269, 634, 7443, 2813, 689, 513, 2754, 568, 711, 2141, 2724, 269, 9320, 513, 3070, 610, 606, 5140, 602, 7727, 513, 4324, 547, 835, 811, 1268, 269, 19452, 267, 513, 2754, 666, 581, 513, 7443, 6194, 20089, 269, 589, 7443, 6194, 1870, 786, 6157, 4122, 6133, 2472, 585, 513, 8907, 267, 543, 849, 513, 2530, 6194, 3919, 786, 7363, 711, 2628, 563, 763, 7664, 540, 606, 3919, 15320, 15186, 269, 898, 666, 581, 513, 4876, 267, 606, 13567, 267, 610, 513, 3070, 269, 634, 1292, 3017, 568, 602, 606, 3919, 1274, 985, 2724, 676, 5356, 3688, 543, 2533, 269, 898, 949, 10123, 581, 513, 15908, 267, 855, 621, 568, 1869, 513, 2754, 269, 634, 3483, 540, 513, 1870, 568, 547, 7118, 2724, 676, 3246, 513, 3407, 610, 5363, 1587, 269, 898, 568, 513, 1797, 585, 1004, 547, 1118, 2724, 269, 2755, 621, 568, 711, 2556, 547, 581, 14785, 267, 513, 7443, 6194, 6109, 666, 581, 606, 2500, 543, 849, 29988, 13055, 563, 2304, 3919, 568, 513, 1870, 4305, 602, 10953, 513, 8907, 585, 519, 32388, 528, 269, 898, 949, 581, 513, 1507, 4558, 610, 513, 5458, 2754, 269, 634, 6662, 540, 606, 3919, 568, 547, 1711, 13284, 1127, 269, 1323, 2500, 3919, 786, 1711, 4502, 585, 2528, 269, 634, 15271, 666, 581, 2724, 267, 610, 621, 666, 581, 513, 1875, 17416, 4305, 269, 589, 7443, 6194, 2754, 786, 6157, 1118, 606, 4430, 269, 898, 568, 849, 513, 1797, 585, 1004, 547, 7118, 513, 2713, 269, 898, 568, 1360, 1271, 547, 2285, 513, 7443, 19356, 908, 3028, 547, 519, 1857, 563, 288, 1870, 666, 581, 1022, 1826, 540, 4990, 540, 4305, 269, 1280, 3236, 267, 513, 1268, 666, 581, 538, 1870, 540, 23478, 513, 3028, 269, 1323, 3919, 666, 581, 513, 3924, 610, 513, 3924, 602, 20362, 3688, 607, 1134, 607, 3435, 269, 2755, 621, 666, 849, 581, 513, 2186, 540, 960, 267, 513, 1870, 786, 2141, 723, 606, 15271, 30254, 269, 901, 5267, 602, 606, 3919, 568, 711, 513, 1360, 2653, 2816, 269, 1717, 621, 568, 2009, 547, 798, 1134, 538, 3028, 269, 2060, 930, 4674, 543, 513, 2178, 2631, 540, 5539, 267, 513, 2754, 666, 581, 513, 1967, 563, 3080, 540, 519, 1034, 3044, 4214, 540, 513, 1870, 568, 602, 621, 9388, 609, 2472, 543, 849, 3435, 269, 898, 1522, 581, 606, 13567, 610, 513, 3924, 269, 8616, 621, 568, 513, 2754, 269, 898, 9388, 609, 1587, 610, 2533, 5010, 269, 1452, 5370, 666, 581, 7082, 3688, 610, 5010, 2472, 269, 898, 666, 11338, 581, 513, 3028, 269, 898, 1522, 2709, 2883, 2533, 267, 10229, 267, 607, 1134, 607, 4859, 9744, 2230, 269, 589, 2754, 568, 711, 1175, 606, 13567, 610, 513, 2816, 269, 898, 568, 513, 11307, 267, 4830, 23072, 602, 2488, 8907, 563, 32207, 958, 267, 1870, 14122, 9513, 3688, 543, 3435, 547, 824, 2533, 269, 898, 666, 581, 513, 585, 17416, 610, 513, 26988, 11769, 269, 589, 1870, 666, 581, 513, 6852, 32388, 11208, 267, 11658, 15668, 6109, 267, 610, 513, 2754, 269, 15380, 267, 513, 2754, 786, 11338, 581, 513, 11450, 269, 6355, 568, 513, 1114, 11769, 689, 519, 5883, 11769, 269, 589, 5698, 267, 585, 3236, 267, 666, 581, 513, 11450, 610, 513, 6109, 269, 898, 666, 1256, 581, 513, 6852, 268, 1144, 11429, 563, 763, 4214, 540, 513, 1870, 568, 606, 6946, 5650, 269, 898, 666, 6451, 1585, 3344, 540, 513, 1870, 269, 1280, 1383, 267, 519, 2238, 2404, 609, 513, 3028, 616, 711, 8806, 1346, 602, 7443, 519, 1870, 269, 1323, 3919, 666, 581, 513, 585, 17416, 11769, 610, 513, 711, 16519, 17416, 2754, 269, 898, 666, 10123, 581, 513, 3908, 17185, 1870, 269, 4634, 811, 267, 513, 5698, 666, 581, 513, 18294, 269, 1280, 17416, 3549, 616, 3622, 519, 6364, 540, 513, 8907, 269, 634, 2063, 1826, 540, 1870, 568, 519, 1267, 540, 513, 32421, 269, 16731, 519, 3896, 454, 288, 3028, 666, 581, 513, 2582, 11060, 5106, 610, 513, 29505, 6109, 269, 634, 2534, 568, 3989, 693, 519, 2754, 267, 3919, 267, 543, 6198, 4110, 269, 589, 2582, 11060, 2754, 666, 14574, 606, 3919, 607, 606, 10697, 269, 2991, 602, 267, 519, 2238, 616, 9138, 607, 513, 3028, 269, 1452, 2533, 1331, 5201, 267, 1216, 267, 607, 1134, 607, 824, 1898, 3435, 269, 589, 2754, 666, 849, 2709, 3435, 269, 901, 568, 513, 3028, 540, 12204, 269, 898, 666, 581, 513, 2168, 3070, 610, 513, 5691, 11769, 269, 0, 306, 1636, 543, 3742, 2713, 786, 723, 513, 2318, 1764, 593, 2043, 998, 519, 11865, 540, 15961, 799, 3077, 519, 2547, 3742, 676, 3246, 3152, 1489, 543, 8840, 1524, 7496, 269, 15510, 17253, 31369, 543, 5499, 15961, 585, 1453, 267, 4079, 543, 3885, 602, 1711, 519, 4356, 540, 1373, 3742, 543, 1118, 621, 519, 1514, 2343, 563, 5392, 260, 540, 4079, 538, 14948, 798, 711, 798, 2614, 2168, 2534, 538, 513, 6093, 3018, 547, 4324, 741, 1072, 630, 275, 1040, 7827, 568, 2877, 693, 513, 2551, 1377, 269, 14118, 9760, 1514, 8155, 547, 1118, 2168, 2534, 811, 11807, 568, 513, 1883, 2460, 540, 2551, 7400, 1689, 630, 276, 1040, 570, 871, 1782, 519, 2547, 3742, 568, 835, 540, 519, 1292, 3741, 540, 713, 4640, 269, 634, 3255, 547, 581, 3742, 1590, 581, 12581, 543, 2653, 547, 1569, 585, 782, 6532, 619, 269, 28080, 9643, 15961, 1683, 3152, 1489, 585, 2043, 609, 1808, 2115, 543, 7496, 547, 2168, 2534, 563, 275, 269, 2276, 540, 14948, 269, 14948, 2657, 28483, 476, 1001, 277, 281, 5398, 2657, 10803, 5149, 267, 476, 1001, 277, 563, 276, 269, 19537, 704, 9460, 267, 717, 13681, 2401, 700, 267, 631, 1157, 956, 7615, 700, 298, 267, 1696, 620, 269, 8177, 540, 1514, 8155, 543, 1514, 1489, 593, 2732, 267, 2168, 2534, 543, 25161, 7180, 540, 10708, 281, 513, 1085, 14563, 2689, 269, 4132, 5516, 2657, 8061, 476, 1001, 276, 282, 6078, 263, 276, 2567, 4792, 275, 268, 6858, 269, 8222, 281, 476, 1015, 269, 9340, 272, 11305, 577, 269, 14338, 6078, 1496, 335, 21242, 6732, 3689, 281, 476, 1001, 276, 270, 6734, 270, 2767, 316 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1127, 267, 2220, 10102, 267, 22586, 9087, 1054, 1571, 267, 3574, 4133, 267, 5757, 23898, 267, 543, 795, 2426, 956, 609, 1930, 2312, 902, 269, 476, 898, 849, 4386, 538, 15173, 15158, 267, 543, 538, 12868, 593, 10084, 267, 7013, 590, 592, 1177, 525, 328, 267, 7195, 328, 267, 543, 590, 3518, 11867, 269, 9282, 621, 568, 4122, 1572, 11549, 3626, 267, 891, 533, 2814, 976, 616, 811, 8308, 1572, 968, 14712, 534, 2065, 5608, 607, 789, 3668, 519, 20119, 14264, 514, 269, 8347, 19855, 519, 11831, 623, 2814, 976, 12039, 952, 596, 2811, 3168, 585, 1945, 1808, 269, 634, 968, 531, 321, 3626, 892, 2681, 10641, 540, 519, 8738, 332, 3150, 9226, 568, 2442, 1851, 16277, 850, 12439, 269, 19186, 3626, 8738, 332, 3150, 5124, 1358, 616, 2808, 547, 581, 2282, 6253, 805, 2989, 538, 741, 5065, 1753, 607, 789, 616, 22991, 32170, 543, 7166, 585, 741, 2960, 269, 4438, 519, 4571, 476, 3445, 338, 543, 476, 1220, 277, 538, 519, 2475, 5176, 476, 1911, 8536, 8738, 332, 3150, 623, 2814, 976, 941, 16865, 1547, 645, 5300, 566, 568, 31127, 3982, 689, 30489, 566, 269, 2073, 6145, 782, 15315, 267, 519, 8738, 332, 3150, 9226, 568, 23097, 5387, 269, 7216, 5359, 5815, 602, 891, 21221, 8738, 332, 3150, 533, 2814, 976, 723, 5594, 1114, 7801, 543, 4806, 689, 741, 22163, 14077, 543, 798, 711, 1332, 1454, 936, 476, 273, 269, 272, 544, 630, 277, 10264, 476, 1556, 538, 264, 538, 3259, 269, 29457, 7702, 2622, 568, 513, 30856, 10672, 540, 10516, 726, 2313, 267, 28077, 2831, 543, 2571, 9162, 269, 744, 9536, 569, 11954, 610, 4806, 539, 15315, 949, 711, 581, 1360, 6939, 545, 543, 616, 4061, 19481, 811, 3362, 676, 11975, 269, 1306, 1312, 519, 25342, 543, 11549, 3626, 13592, 616, 15110, 538, 513, 2241, 12424, 633, 6752, 267, 621, 568, 2352, 547, 3132, 713, 4999, 269, 1358, 616, 849, 5140, 7669, 11302, 267, 1373, 2111, 547, 3251, 24760, 585, 909, 547, 3368, 606, 5662, 269, 772, 2529, 269, 5124, 12289, 814, 1044, 3226, 3573, 267, 16113, 2066, 3162, 8419, 267, 1141, 513, 1804, 1297, 540, 533, 2814, 976, 666, 1631, 581, 1336, 538, 519, 8419, 17451, 6921, 3547, 269, 769, 519, 7187, 2694, 540, 922, 2039, 267, 519, 4095, 9226, 949, 1490, 636, 622, 585, 930, 3275, 1282, 519, 4411, 4005, 538, 513, 17860, 3529, 267, 513, 8559, 538, 519, 5757, 23810, 267, 610, 896, 7725, 269, 769, 3735, 476, 1960, 276, 267, 1776, 15817, 540, 519, 8738, 332, 3150, 9226, 729, 1336, 538, 519, 3552, 269, 476, 1001, 273, 269, 8187, 533, 2814, 976, 3328, 476, 274, 269, 278, 544, 630, 1321, 269, 273, 10264, 1070, 855, 15013, 23630, 476, 275, 544, 630, 1724, 10264, 264, 616, 711, 16613, 269, 21058, 10815, 518, 2037, 14024, 9605, 670, 564, 595, 31500, 11831, 5124, 269, 2274, 1430, 5370, 543, 32675, 540, 8738, 332, 3150, 9226, 543, 1427, 545, 4327, 9226, 630, 23911, 678, 269, 1427, 10306, 9850, 264, 693, 513, 2199, 6300, 693, 13495, 531, 599, 267, 27060, 267, 589, 8738, 332, 3150, 9226, 609, 824, 15315, 543, 533, 836, 565, 1231, 693, 513, 7320, 3109, 2344, 538, 15216, 5487, 267, 22767, 267, 27060, 269, 11289, 596, 256, 2755, 621, 3322, 513, 2147, 3668, 540, 14264, 514, 267, 1875, 2173, 2459, 6501, 2831, 971, 607, 20641, 3132, 1875, 2173, 601, 534, 514, 23416, 269, 476, 8187, 2043, 3328, 476, 274, 269, 278, 544, 630, 1321, 10264, 264, 1279, 267, 855, 723, 1044, 1634, 547, 3914, 476, 276, 269, 10619, 544, 630, 1240, 10264, 476, 1015, 538, 264, 907, 13088, 269, 1717, 267, 922, 3160, 25505, 585, 30042, 5017, 543, 11864, 1797, 621, 568, 1419, 5701, 607, 513, 11641, 269, 769, 24811, 267, 922, 2732, 5161, 5097, 540, 20749, 2139, 14013, 21092, 14148, 267, 4271, 908, 547, 3677, 10352, 971, 607, 17544, 543, 16738, 607, 621, 9428, 269, 19186, 3626, 8738, 332, 3150, 9226, 634, 13131, 267, 3957, 21859, 10043, 267, 729, 606, 11549, 3626, 8738, 332, 3150, 9226, 2147, 547, 713, 835, 267, 2687, 547, 519, 2107, 1633, 334, 13329, 514, 601, 269, 26573, 1546, 324, 1315, 5192, 1399, 16103, 269, 10374, 569, 1310, 2669, 267, 1200, 4890, 3259, 729, 5462, 547, 581, 476, 276, 269, 10619, 544, 630, 1240, 10264, 476, 1015, 538, 1040, 19186, 3626, 21081, 924, 269, 901, 2249, 814, 3964, 3294, 3833, 1134, 538, 519, 8419, 2479, 6921, 3547, 267, 1813, 547, 5411, 945, 3112, 6023, 873, 15042, 543, 16089, 873, 269, 12232, 8738, 332, 3150, 623, 2814, 976, 3371, 568, 513, 5542, 540, 930, 540, 519, 2831, 594, 723, 585, 9042, 267, 799, 786, 4268, 609, 519, 4005, 543, 1250, 2702, 547, 8523, 543, 2022, 519, 6337, 269, 6145, 519, 1454, 4130, 3440, 9226, 267, 8738, 332, 3150, 533, 2814, 976, 616, 1634, 547, 581, 2653, 4707, 610, 4626, 573, 7068, 267, 799, 1797, 602, 952, 25374, 585, 5265, 267, 789, 666, 3362, 4188, 547, 2713, 2282, 3425, 269, 19186, 3626, 8738, 332, 3150, 5124, 269, 8738, 332, 3150, 533, 2814, 976, 849, 14526, 609, 519, 5065, 1977, 32613, 1807, 267, 543, 3875, 8320, 540, 32613, 2209, 543, 533, 2814, 976, 22215, 1107, 543, 538, 930, 2665, 267, 840, 3539, 593, 1107, 1142, 824, 723, 1044, 4080, 543, 6592, 269, 623, 2814, 976, 723, 1831, 14747, 585, 18151, 2950, 17449, 4719, 11549, 3626, 3276, 332, 3150, 9226, 585, 851, 1156, 14003, 519, 269, 3657, 4061, 19481, 811, 3362, 676, 11975, 11864, 1797, 621, 568, 513, 5458, 13131, 602, 666, 1332, 547, 851, 256, 12397, 13131, 1413, 899, 10516, 726, 2313, 267, 28077, 2831, 543, 2571, 9162, 2282, 543, 1862, 5620, 1831, 14747, 585, 18151, 2950, 5411, 1590, 2015, 782, 3344, 540, 8738, 332, 3150, 9226, 568, 2009, 9042, 538, 2038, 256, 9948, 723, 1044, 1256, 1896, 3952, 3476, 616, 711, 16613, 540, 4719, 10659, 729, 9676, 538, 519, 476, 2735, 271, 338, 256, 12181, 7925, 1412, 3299, 10452, 922, 2949, 2551, 7771, 7195, 328, 267, 543, 10122, 5301, 1336, 23047, 1127, 269, 1215, 621, 3718, 896, 3552, 2831, 10466, 18103, 12099, 7167, 476, 10204, 5732, 5906, 3662, 2872, 2221, 543, 519, 1862, 630, 476, 1240, 10264, 476, 1015, 538, 3738, 11076, 2961, 14712, 8738, 332, 3150, 9226, 1412, 736, 6027, 693, 476, 276, 269, 10619, 30285, 6428, 1794, 541, 3045, 25555, 7333, 593, 1104, 566, 543, 954, 8063, 6283, 540, 2185, 9649, 15315, 21279, 256, 23694, 267, 543, 795, 2426, 956, 609, 1930, 2312, 902, 616, 513, 968, 6923, 9648, 2681, 10641, 540, 519, 4102, 15315, 519, 269, 1656, 20555, 1390, 2249, 568, 2877, 547, 7522, 1524, 519, 9226, 536, 643, 8636, 9850, 3738, 835, 24222, 476, 9610, 1790, 895, 9226, 729, 9676, 538, 519, 1158, 543, 6574, 1297, 540, 9676, 533, 2814, 976, 16453, 670, 564, 11549, 3626, 8738, 332, 3150, 9226, 9226, 269, 589, 3043, 3490, 2681, 267, 547, 5529, 609, 5835, 610, 10538, 1025, 582, 2583, 267, 607, 547, 256, 3487, 21871, 538, 3624, 513, 5458, 13131, 602, 666, 1332, 547, 581, 476, 276, 269, 10619, 544, 630, 476, 1240, 10264, 476, 1015, 538, 3738, 11549, 3626, 3276, 332, 3150, 9226, 1862, 5124, 4929, 519, 6505, 5835, 32442, 543, 15151, 2653, 268, 4707, 2470, 4728, 610, 4989, 12492, 269, 2904, 581, 12219, 267, 607, 606, 5605, 26513, 540, 1200, 2249, 3574, 4133, 267, 5757, 23898, 267, 543, 1500, 256, 476, 1240, 10264, 476, 1015, 538, 3738, 2235, 320, 476, 1960, 280, 2759, 741, 1259, 856, 540, 5798, 29755, 6466, 891, 15315, 20248, 8858, 993, 601, 22675, 267, 3668, 540, 14264, 514, 267, 1875, 2173, 2459, 6501, 2831, 971, 607, 20641, 1875, 2173, 601, 534, 514, 269, 11906, 13364, 538, 741, 10209, 1132, 543, 3002, 1606, 839, 832, 2059, 519, 28287, 883, 519, 3552, 476, 6924, 533, 2814, 976, 941, 16865, 9742, 619, 1862, 13206, 2787, 552, 1162, 11549, 3626, 3276, 332, 3150, 9226, 9226, 11313, 521, 3406, 585, 10352, 630, 14148, 267, 8983, 267, 3092, 3738, 15315, 256, 5607, 855, 568, 1336, 607, 606, 5605, 26513, 540, 1200, 2249, 267, 5578, 2200, 269, 15783, 569, 5906, 3662, 5732, 5906, 3662, 4212, 5694, 547, 2759, 741, 1259, 11549, 3626, 3276, 332, 3150, 9226, 540, 741, 5798, 267, 519, 8738, 332, 3150, 538, 256, 476, 1240, 9948, 621, 814, 849, 1044, 4080, 593, 20943, 5443, 1455, 538, 27604, 8738, 332, 3150, 533, 2814, 976, 9226, 1862, 3117, 2541, 621, 9042, 693, 6909, 14499, 9948, 811, 982, 5722, 1296, 610, 535, 1441, 1269, 476, 4335, 267, 1822, 952, 26722, 4810, 1421, 674, 269, 808, 1426, 2707, 1413, 16453, 267, 855, 789, 616, 849, 7166, 585, 28011, 1488, 992, 3337, 267, 543, 1287, 16509, 1472, 519, 5798, 585, 519, 2249, 568, 2877, 547, 7522, 1524, 519, 6968, 256, 15173, 15158, 267, 621, 568, 1419, 5701, 607, 513, 1426, 2707, 804, 8553, 786, 1413, 16453, 267, 15013, 269, 2290, 540, 519, 1034, 2442, 986, 764, 9398, 616, 1524, 676, 476, 4200, 269, 274, 4939, 267, 1566, 1601, 4548, 476, 7176, 269, 280, 269, 8419, 17451, 6921, 3547, 267, 1813, 547, 5411, 945, 666, 711, 6023, 873, 15042, 16089, 256, 769, 3735, 476, 1960, 276, 267, 11549, 3626, 3276, 332, 3150, 9226, 15817, 540, 519, 1079, 28849, 540, 519, 9226, 269, 476, 4029, 9948, 568, 31127, 3982, 689, 30489, 566, 1966, 267, 543, 513, 3043, 3490, 2681, 267, 4806, 543, 256, 589, 840, 2380, 850, 2766, 267, 7013, 590, 592, 1177, 525, 328, 267, 7195, 328, 267, 543, 616, 585, 11549, 3626, 3276, 332, 3150, 9226, 16277, 850, 15908, 1235, 476, 1001, 273, 1867, 7150, 12181, 269, 4256, 3109, 20119, 568, 7508, 1496, 476, 3953, 476, 3910, 519, 533, 2814, 976, 723, 1831, 14747, 18151, 1862, 3689, 11549, 3626, 8738, 332, 3150, 9226, 568, 513, 1434, 6172, 828, 543, 814, 513, 4389, 7181, 4320, 543, 23639, 267, 15499, 269, 898, 3718, 540, 15013, 602, 941, 4080, 547, 723, 1044, 1336, 547, 2824, 3376, 6122, 2378, 539, 543, 9249, 269, 1284, 723, 1896, 4190, 27604, 1532, 1042, 11549, 3626, 8738, 332, 3150, 9226, 814, 513, 840, 2380, 850, 2766, 670, 564, 2560, 1141, 798, 8738, 332, 3150, 533, 2814, 976, 6108, 5354, 269, 14033, 23047, 1127, 543, 2220, 10102, 267, 22586, 9087, 1054, 1571, 267, 3574, 4133, 267, 5757, 23898, 267, 543, 513, 1412, 7538, 1412, 2295, 23511, 267, 29372, 543, 17544, 723, 20374, 544, 630, 476, 1321, 269, 273, 10264, 3738, 616, 711, 20240, 5701, 513, 256, 2986, 14913, 5607, 1141, 789, 666, 581, 2560, 11549, 3626, 8738, 332, 3150, 9226, 593, 15434, 12127, 4289, 21050, 545, 1421, 28077, 2831, 543, 2571, 9162, 543, 2200, 3564, 519, 7207, 540, 1082, 1131, 15515, 907, 3619, 1846, 543, 14918, 2681, 543, 4806, 13592, 27604, 1532, 1042, 11549, 3626, 8738, 332, 3150, 9226, 630, 12387, 32203, 269, 18771, 2015, 782, 3344, 540, 8738, 332, 3150, 533, 2814, 976, 616, 23097, 2803, 267, 17005, 5097, 593, 1507, 11864, 543, 2807, 634, 8653, 540, 29164, 533, 2814, 976, 630, 9226, 536, 643, 8636, 9850, 3738, 7150, 267, 12181, 538, 1141, 1862, 2422, 741, 4212, 5694, 547, 2759, 741, 1259, 856, 540, 741, 5798, 267, 590, 3518, 11867, 256, 1772, 547, 9742, 606, 11549, 3626, 8738, 332, 3150, 9226, 568, 2009, 543, 11864, 3006, 5033, 807, 638, 1738, 267, 855, 616, 1862, 19938, 7333, 940, 519, 2560, 16453, 670, 564, 11549, 3626, 8738, 332, 3150, 9226, 942, 267, 5578, 543, 2200, 3564, 519, 7207, 1082, 1862, 5620, 29086, 855, 602, 3085, 11313, 512, 24511, 782, 602, 27824, 602, 666, 1332, 547, 581, 476, 1240, 1111, 269, 17449, 4719, 2963, 585, 851, 1156, 14003, 538, 519, 1158, 267, 8757, 811, 982, 476, 272, 267, 20065, 1496, 476, 2537, 9948, 723, 1044, 9676, 519, 269, 1280, 741, 32675, 543, 865, 789, 616, 849, 7166, 585, 1426, 267, 3226, 538, 3624, 22986, 17743, 619, 14913, 256, 15618, 1239, 540, 15013, 602, 941, 4080, 547, 723, 1044, 9676, 538, 519, 2872, 2221, 543, 519, 256, 1656, 26151, 10538, 2972, 16678, 7068, 4728, 610, 4989, 581, 476, 276, 269, 10619, 544, 630, 476, 1724, 10264, 16532, 855, 4163, 6090, 269, 590, 21750, 5607, 3292, 267, 607, 789, 2085, 267, 891, 15315, 941, 11954, 3335, 267, 855, 1454, 23198, 543, 23511, 4210, 10102, 267, 22586, 9087, 1054, 1571, 267, 3574, 4133, 267, 5757, 23898, 267, 543, 598, 26448, 4104, 1336, 22243, 3467, 326, 1637, 256, 8262, 3455, 2831, 899, 23161, 543, 14918, 1496, 476, 274, 476, 3910, 8738, 332, 3150, 533, 2814, 976, 666, 2268, 909 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 1967, 1947, 20271, 894, 267, 18763, 543, 23267, 12463, 267, 646, 729, 513, 4759, 540, 519, 476, 4572, 280, 6554, 269, 1261, 2663, 759, 11220, 543, 2968, 6205, 540, 519, 3703, 5742, 540, 26812, 1235, 269, 3571, 5075, 540, 513, 20833, 543, 17215, 8087, 2342, 568, 22993, 538, 1010, 1412, 292, 2202, 281, 18321, 543, 4643, 262, 3370, 538, 476, 4198, 279, 563, 302, 6113, 619, 936, 1269, 5952, 20618, 585, 5131, 1744, 6235, 1369, 519, 772, 2529, 269, 630, 8196, 19420, 517, 3009, 281, 674, 3918, 2464, 295, 7709, 1040, 0, 268, 1294, 631, 699, 745, 6390, 11065, 328, 7240, 9218, 540, 9147, 5527, 676, 14472, 531, 773, 543, 4165, 3415, 661, 269, 6424, 454, 26123, 5527, 269, 589, 13129, 6651, 269, 3798, 342, 11286, 269, 476, 1001, 272, 563, 16100, 693, 824, 21594, 912, 300, 699, 745, 6390, 2443, 966, 714, 1512, 12081, 540, 31679, 328, 524, 269, 23056, 271, 7460, 269, 14033, 547, 519, 18158, 540, 2608, 307, 564, 328, 630, 23056, 276, 476, 22001, 274, 7460, 1070, 972, 568, 513, 8101, 543, 1134, 12873, 15958, 19487, 19772, 799, 20705, 547, 631, 699, 745, 6390, 267, 945, 729, 519, 5067, 538, 1876, 543, 642, 714, 1512, 540, 3751, 2608, 307, 564, 328, 269, 901, 19772, 7389, 547, 519, 4098, 2507, 2560, 9147, 5527, 0, 1432, 568, 26353, 328, 306, 888, 16631, 543, 2029, 616, 7533, 2694, 540, 938, 3232, 1272, 267, 855, 3621, 1382, 666, 581, 2352, 547, 1569, 585, 1875, 7721, 704, 1206, 269, 1717, 267, 519, 8226, 540, 15312, 568, 8471, 269, 26353, 328, 306, 3217, 5413, 540, 602, 267, 543, 3096, 519, 1379, 540, 1148, 547, 5968, 2257, 543, 2029, 547, 513, 3376, 5304, 563, 2171, 10891, 606, 5993, 6735, 1141, 3744, 543, 1053, 10505, 4190, 1382, 2592, 1927, 609, 513, 6609, 540, 519, 1382, 3297, 873, 269, 29120, 5961, 616, 17820, 1282, 9177, 13957, 543, 824, 24218, 267, 543, 3838, 998, 1514, 2923, 269, 3958, 267, 649, 10891, 5254, 292, 4456, 630, 16631, 267, 5303, 267, 7177, 267, 3203, 267, 543, 4569, 264, 2238, 585, 1453, 9256, 1148, 543, 2257, 563, 5978, 10700, 5075, 568, 547, 1118, 2257, 3015, 585, 3025, 269, 0, 527, 568, 513, 1599, 563, 314, 8987, 277, 910, 2073, 267, 276, 22708, 7120, 519, 2798, 593, 513, 11282, 10750, 563, 9526, 7299, 3515, 998, 519, 3113, 563, 604, 1022, 540, 519, 3515, 10596, 998, 519, 6935, 593, 811, 982, 835, 1448, 621, 568, 711, 513, 1599, 563, 604, 711, 267, 621, 568, 513, 1599, 563, 24987, 281, 621, 568, 513, 1599, 454, 21163, 8386, 9912, 7778, 281, 519, 7299, 1899, 1449, 568, 1031, 547, 3313, 952, 513, 6935, 568, 513, 1599, 269, 952, 972, 616, 476, 273, 2798, 950, 596, 2721, 519, 1899, 267, 1287, 621, 568, 711, 513, 1599, 267, 1317, 513, 1599, 568, 5276, 543, 3112, 581, 7299, 269, 596, 666, 4194, 713, 2243, 568, 3274, 676, 3168, 693, 519, 2338, 267, 543, 596, 666, 1294, 602, 1169, 3403, 630, 343, 17032, 264, 814, 835, 3977, 630, 344, 17032, 1070, 543, 602, 972, 616, 1100, 1535, 268, 11161, 602, 616, 7368, 269, 865, 267, 4061, 267, 621, 1131, 581, 513, 1599, 563, 2224, 519, 7299, 1899, 1449, 547, 3313, 952, 519, 6935, 27883, 1862, 0, 25215, 1180, 547, 519, 1739, 538, 513, 5934, 540, 476, 11260, 1913, 281, 1548, 616, 930, 540, 519, 4128, 602, 7214, 3959, 3340, 1114, 3656, 20038, 982, 15889, 610, 1483, 3959, 286, 9253, 25475, 23514, 9469, 25215, 1180, 547, 519, 1739, 538, 513, 5934, 540, 476, 1911, 1913, 281, 13983, 7566, 4147, 10863, 267, 2467, 616, 1896, 4128, 1946, 7214, 3959, 3340, 1114, 3656, 20038, 982, 15889, 610, 1483, 3959, 269, 25827, 3959, 568, 2808, 1919, 602, 616, 2813, 689, 519, 2247, 547, 1331, 281, 968, 6312, 757, 267, 5299, 23412, 267, 4123, 4408, 267, 543, 4123, 11580, 892, 630, 299, 2465, 267, 476, 1708, 271, 1040, 7316, 968, 339, 26143, 3959, 568, 1022, 3959, 267, 1483, 610, 2123, 267, 602, 666, 581, 20109, 269, 7464, 3959, 5161, 540, 2244, 610, 1483, 10040, 602, 3112, 581, 6410, 610, 568, 7923, 547, 519, 3959, 267, 971, 607, 5656, 267, 3282, 267, 3154, 543, 6886, 267, 543, 4054, 269, 9608, 3959, 568, 3959, 602, 666, 581, 6410, 267, 971, 607, 12227, 267, 3937, 543, 11647, 892, 630, 294, 7949, 20279, 1040, 2467, 2115, 547, 581, 1114, 3656, 20038, 585, 7214, 3959, 971, 607, 24977, 267, 5299, 23412, 267, 4123, 4408, 267, 543, 4123, 11580, 1317, 891, 616, 1919, 602, 723, 1044, 2813, 689, 3312, 5647, 267, 543, 519, 17082, 540, 891, 5647, 991, 547, 581, 6870, 689, 824, 1004, 2348, 519, 2702, 547, 1491, 3409, 585, 741, 5647, 267, 543, 4061, 519, 17082, 1058, 581, 519, 1152, 835, 945, 16976, 875, 891, 5647, 1058, 581, 946, 610, 666, 581, 1031, 676, 824, 1004, 269, 2290, 540, 519, 7887, 4128, 1946, 1114, 3656, 4027, 568, 1031, 950, 621, 2501, 547, 15889, 610, 1483, 3959, 1317, 713, 1826, 540, 3959, 568, 968, 2254, 22543, 9548, 543, 949, 581, 4503, 998, 9042, 267, 10516, 267, 610, 18472, 892, 630, 299, 2465, 267, 476, 1708, 271, 1040, 299, 2465, 267, 918, 269, 630, 1708, 271, 1040, 6355, 1876, 630, 273, 526, 1196, 12175, 8158, 689, 3733, 14807, 1807, 14371, 7949, 20279, 269, 15223, 7204, 269, 1548, 568, 7464, 543, 19358, 1043, 2123, 3959, 286, 8158, 689, 4179, 2517, 4178, 4732, 320, 7204, 2593, 270, 279, 4281, 278, 4029, 271, 270, 9418, 2389, 26143, 1790, 5966, 3491, 704, 1399, 13142, 23579, 6742, 710, 345, 25215, 1180, 547, 519, 1739, 538, 513, 5934, 540, 476, 1911, 1913, 281, 4340, 547, 2048, 763, 2480, 2100, 2986, 10466, 5510, 1229, 1635, 25827, 16296, 4521, 21948, 1708, 271, 1070, 968, 4504, 21526, 3959, 1876, 15320, 689, 824, 3959, 1876, 538, 602, 7214, 3959, 1876, 14014, 2924, 538, 30608, 3959, 267, 6466, 824, 3959, 1876, 14014, 15889, 267, 610, 2168, 267, 3959, 269, 4935, 267, 7214, 3959, 1876, 9388, 609, 7493, 2035, 267, 2864, 982, 609, 6405, 2168, 3615, 269, 634, 2168, 19183, 540, 519, 960, 1587, 540, 519, 6870, 7214, 3959, 949, 581, 6870, 676, 824, 3959, 1876, 267, 855, 621, 786, 711, 581, 6870, 676, 7214, 3959, 1876, 1848, 763, 4082, 13931, 5647, 630, 7709, 264, 782, 26360, 547, 519, 24050, 540, 16048, 2924, 602, 10836, 689, 519, 19511, 4075, 340, 657, 334, 540, 519, 1480, 2634, 269, 7379, 2924, 8263, 513, 1713, 2816, 538, 519, 2883, 30436, 540, 513, 4182, 543, 6445, 538, 607, 513, 27513, 2590, 1379, 585, 5499, 1004, 547, 18836, 741, 4075, 340, 657, 334, 547, 2486, 269, 6145, 9758, 543, 1367, 3959, 2924, 2327, 835, 779, 32388, 11208, 15131, 585, 29267, 626, 752, 762, 4930, 267, 585, 1383, 267, 2244, 543, 6517, 267, 7379, 2924, 5150, 835, 779, 15896, 15131, 585, 791, 531, 335, 762, 3688, 267, 585, 1383, 267, 519, 2219, 3297, 513, 5137, 267, 519, 2575, 6060, 585, 513, 16340, 3118, 1404, 543, 519, 2012, 610, 20446, 1031, 547, 1665, 606, 6221, 269, 9453, 28431, 540, 891, 2924, 538, 519, 1876, 267, 621, 1131, 581, 2182, 585, 2486, 547, 8011, 543, 1020, 269, 9406, 1631, 267, 786, 8275, 1018, 13931, 5647, 2924, 616, 543, 519, 24716, 1063, 922, 1114, 3889, 269, 630, 30821, 3205, 267, 476, 1708, 271, 264, 4263, 519, 1448, 950, 513, 1390, 1082, 1004, 2015, 13931, 5647, 2924, 267, 27121, 267, 30931, 543, 5299, 23412, 8258, 513, 11350, 269, 901, 4099, 11460, 540, 7379, 2924, 1121, 684, 4733, 543, 5150, 519, 19511, 1568, 540, 15888, 267, 15888, 267, 32388, 832, 543, 642, 11367, 540, 25584, 543, 16904, 538, 519, 5010, 4099, 269, 2755, 519, 1876, 995, 3652, 602, 896, 12340, 1169, 835, 540, 891, 2924, 616, 29267, 626, 752, 762, 267, 789, 1142, 2709, 513, 6093, 11460, 540, 4441, 269, 630, 30821, 3205, 267, 476, 1708, 271, 264, 763, 2480, 2100, 540, 10466, 5510, 1229, 676, 25827, 16296, 4521, 263, 1708, 271, 1040, 8158, 689, 4179, 2517, 331, 9155, 3559, 325, 2593, 11305, 6847, 2264, 20880, 1613, 270, 1492, 1606, 1723, 2507, 30821, 3205, 267, 570, 269, 630, 1708, 271, 1040, 1215, 25827, 16296, 3718, 269, 8158, 689, 4179, 2517, 332, 2292, 269, 6011, 560, 4428, 4103, 2593, 270, 842, 21526, 3491, 701, 7498, 6701, 596, 3168, 585, 2688, 1557, 1603, 3028, 610, 1256, 12031, 1603, 2533, 286, 3807, 7662, 585, 938, 2328, 1250, 1957, 3028, 267, 543, 649, 32075, 961, 6474, 596, 609, 519, 1655, 1557, 5856, 538, 707, 1641, 256, 2060, 606, 11108, 2319, 540, 3318, 4081, 4966, 538, 513, 2647, 2039, 540, 5396, 267, 649, 666, 10018, 596, 606, 796, 337, 2526, 539, 2298, 540, 2688, 27787, 4574, 563, 3963, 670, 790, 30793, 335, 1023, 2593, 5830, 547, 798, 707, 1957, 888, 26660, 268, 1284, 616, 4810, 543, 723, 1569, 547, 15792, 1382, 2326, 563, 2171, 2328, 17096, 5131, 12474, 454, 18183, 7808, 268, 1284, 2760, 2671, 610, 6133, 707, 2123, 1344, 547, 3791, 6105, 563, 28874, 4211, 1002, 609, 721, 2221, 256, 1284, 616, 2141, 7996, 547, 2626, 782, 707, 2055, 269, 0, 295, 8960, 513, 2860, 5868, 568, 513, 1272, 17038, 18146, 543, 3929, 942, 269, 589, 2929, 4555, 5198, 998, 707, 2247, 827, 5574, 267, 1272, 267, 2669, 267, 707, 1920, 267, 707, 2828, 267, 707, 2816, 267, 543, 811, 269, 4014, 4986, 666, 4625, 9004, 519, 2566, 540, 7231, 609, 513, 2860, 5868, 543, 2126, 267, 519, 4388, 2016, 538, 713, 2376, 786, 948, 547, 8897, 519, 1184, 563, 2690, 2550, 543, 3885, 267, 2860, 666, 3362, 581, 513, 1360, 1951, 1456, 1995, 269, 5269, 2386, 596, 1205, 948, 689, 513, 4387, 547, 1521, 707, 2860, 543, 9772, 8902, 6208, 563, 2750, 17068, 547, 519, 3141, 568, 519, 3056, 2014, 540, 2960, 2860, 269, 16164, 2860, 568, 513, 1360, 1455, 1826, 540, 2860, 269, 13363, 1312, 707, 3068, 543, 707, 2960, 689, 2860, 676, 9849, 513, 11058, 543, 3141, 23026, 2603, 542, 593, 13566, 2395, 563, 4692, 1356, 2550, 945, 8673, 1058, 3479, 547, 29655, 607, 4166, 607, 2009, 269, 589, 2603, 540, 1004, 602, 1995, 2860, 1118, 513, 12161, 676, 3206, 602, 789, 1810, 1406, 991, 547, 3247, 7296, 1317, 789, 2461, 2907, 7210, 269, 634, 15910, 11077, 602, 616, 538, 519, 13189, 666, 7494, 6175, 519, 8458, 540, 707, 1560, 1818, 513, 2407, 6051, 563, 29490, 723, 513, 5639, 585, 3054, 543, 1810, 1406, 581, 12922, 547, 946, 621, 950, 596, 991, 547, 581, 4862, 269, 589, 2603, 540, 1004, 1869, 723, 2025, 6752, 539, 4978, 827, 2860, 267, 543, 930, 1256, 3494, 602, 2860, 666, 581, 10299, 689, 1268, 547, 1268, 269, 10925, 1927, 513, 1906, 6114, 547, 930, 1455, 2055, 543, 581, 4712, 547, 2232, 1004, 779, 4145, 269, 9861, 1930, 827, 707, 2068, 786, 711, 1152, 948, 596, 4308, 609, 2860, 811, 1483, 12264, 267, 596, 949, 581, 2111, 547, 1217, 1866, 563, 2252, 513, 1920, 610, 3659, 814, 2860, 267, 621, 568, 5363, 585, 596, 547, 979, 547, 741, 20499, 609, 873, 269, 20780, 532, 513, 2312, 32567, 3659, 610, 12314, 2059, 786, 948, 596, 723, 1434, 10618, 609, 707, 4387, 563, 4692, 1356, 666, 5732, 1332, 543, 3262, 267, 952, 596, 1577, 4965, 1205, 519, 1655, 540, 707, 1072, 269, 1358, 949, 4625, 2285, 909, 519, 4339, 563, 7804, 9722, 1164, 23343, 12929, 267, 1164, 1606, 13610, 10425, 899, 14614, 666, 1118, 596, 811, 2693, 547, 1205, 2860, 267, 865, 29746, 873, 1318, 2476, 269, 634, 1164, 2179, 540, 8477, 543, 2241, 11950, 666, 2014, 2597, 2744, 267, 799, 538, 2490, 666, 16436, 2860, 547, 1332, 543, 3262, 538, 3875, 4025, 538, 519, 1480, 1560, 563, 2691, 596, 1265, 856, 596, 723, 2860, 267, 596, 723, 547, 2097, 547, 2474, 609, 1978, 1919, 538, 1272, 267, 713, 568, 851, 540, 2713, 609, 621, 543, 568, 2067, 267, 3314, 602, 269, 898, 779, 1732, 547, 5965, 585, 519, 2942, 3344, 540, 982, 547, 11716, 873, 543, 23487, 873, 563, 10144, 945, 723, 2860, 1419, 1265, 602, 741, 2068, 6770, 811, 2318, 1004, 883, 741, 2729, 269, 1452, 1004, 849, 1331, 11923, 267, 2447, 334, 12665, 267, 32346, 5505, 610, 1022, 1268, 602, 4217, 596, 267, 948, 596, 610, 26003, 3278, 609, 707, 3510, 269, 3400, 19290, 1450, 891, 1004, 547, 948, 596, 267, 1317, 596, 666, 1406, 3068, 2860, 4805, 563, 2026, 596, 917, 676, 1631, 267, 972, 616, 9090, 2409, 585, 4227, 2566, 543, 1447 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10870, 24002, 267, 3213, 15453, 7010, 543, 700, 2839, 2752, 4578, 268, 3487, 476, 273, 454, 13775, 2201, 281, 5412, 476, 4962, 267, 476, 1001, 275, 454, 1103, 519, 3105, 2376, 267, 649, 13713, 5018, 11282, 1949, 1247, 3168, 693, 875, 789, 5129, 513, 1909, 950, 10747, 519, 5843, 1805, 566, 1374, 13306, 543, 4259, 909, 519, 6833, 6652, 13521, 3301, 269, 589, 5618, 2446, 729, 5386, 585, 602, 14764, 267, 855, 952, 649, 6999, 547, 5490, 883, 811, 3877, 593, 14759, 543, 4657, 20327, 538, 519, 1585, 3301, 15004, 547, 948, 596, 798, 811, 609, 700, 2839, 2752, 1239, 267, 1287, 621, 568, 5363, 547, 1376, 609, 930, 540, 519, 9238, 269, 1306, 971, 267, 713, 2376, 786, 1683, 606, 4367, 547, 11282, 1949, 267, 2520, 6950, 267, 3611, 4548, 543, 20327, 269, 0, 272, 269, 5269, 589, 6129, 13340, 4934, 2986, 1325, 26891, 674, 11798, 269, 1635, 8380, 513, 2030, 610, 2371, 538, 513, 4216, 4988, 609, 11956, 23240, 267, 621, 786, 2992, 7943, 5196, 519, 2030, 8716, 2208, 676, 3246, 811, 14246, 1813, 547, 519, 10877, 8086, 269, 15439, 1265, 513, 4216, 610, 1256, 513, 21489, 7901, 602, 786, 3514, 707, 2371, 543, 2322, 11956, 23240, 782, 1472, 519, 3330, 1547, 4855, 513, 21312, 4216, 610, 513, 21489, 7901, 543, 1899, 782, 540, 922, 5011, 689, 3330, 609, 11956, 23240, 454, 8245, 2952, 12189, 707, 4604, 547, 519, 2450, 543, 3337, 596, 1616, 267, 543, 8936, 11956, 23240, 547, 519, 2627, 269, 2290, 3364, 547, 4063, 568, 602, 11956, 23240, 2356, 814, 1079, 1114, 7252, 281, 2290, 568, 811, 14436, 907, 8786, 267, 855, 596, 1590, 946, 519, 20585, 2427, 547, 2992, 707, 1769, 607, 519, 695, 4883, 344, 2427, 786, 3132, 13671, 28326, 26105, 269, 4635, 11956, 23240, 568, 513, 10464, 4244, 547, 1210, 1250, 24882, 610, 3043, 5862, 267, 855, 621, 1281, 711, 1685, 5176, 607, 1134, 454, 269, 13689, 593, 519, 25380, 2326, 3238, 630, 531, 26891, 8988, 267, 4154, 1070, 19141, 10110, 930, 1769, 20966, 267, 1247, 2348, 519, 1761, 540, 27200, 519, 20966, 2371, 991, 1034, 654, 1905, 519, 11956, 23240, 29101, 1472, 519, 6565, 540, 519, 2030, 269, 9255, 621, 593, 519, 2030, 6565, 865, 602, 476, 274, 6279, 540, 23240, 568, 2630, 519, 3037, 1899, 543, 476, 274, 6279, 1657, 621, 269, 5192, 519, 7454, 18200, 16372, 15580, 585, 962, 334, 14068, 932, 7860, 1280, 22320, 7304, 7112, 654, 8712, 281, 19257, 5558, 1656, 1325, 26891, 674, 11798, 22320, 619, 723, 1044, 1634, 547, 946, 824, 14436, 2326, 267, 855, 9039, 616, 4502, 519, 4674, 543, 666, 581, 22247, 269, 19257, 5558, 267, 585, 1383, 267, 616, 513, 1360, 3983, 3903, 267, 607, 789, 10110, 1769, 267, 543, 2992, 2032, 666, 581, 607, 1970, 607, 476, 2004, 2600, 454, 2704, 26891, 23240, 568, 1100, 811, 982, 476, 4649, 260, 14436, 910, 952, 1031, 267, 1118, 2386, 602, 519, 20585, 2427, 568, 519, 835, 602, 568, 1031, 547, 2992, 519, 1769, 269, 1879, 621, 3587, 1212, 1078, 922, 2992, 2032, 568, 1256, 2539, 630, 19925, 476, 3374, 260, 4700, 898, 568, 849, 1360, 5906, 547, 946, 1317, 621, 5932, 28326, 26105, 3362, 267, 568, 30788, 25801, 267, 543, 568, 513, 3595, 9651, 950, 621, 568, 538, 2673, 3346, 269, 589, 26523, 539, 24208, 5496, 1500, 540, 21312, 20898, 609, 11956, 610, 631, 2643, 541, 23240, 610, 3574, 8440, 13556, 15090, 569, 3043, 267, 543, 11542, 593, 519, 9703, 2427, 540, 519, 2371, 786, 1769, 909, 519, 2371, 4352, 1631, 596, 666, 1405, 1294, 873, 689, 3330, 15042, 543, 519, 4055, 9703, 786, 581, 18632, 634, 2856, 3297, 519, 23240, 568, 547, 2992, 1769, 1394, 5196, 519, 2371, 543, 1832, 873, 3395, 811, 11741, 269, 674, 11798, 20898, 4216, 585, 519, 16603, 19155, 269, 8422, 23240, 4988, 4773, 540, 21312, 4773, 593, 1283, 269, 2201, 519, 5377, 568, 513, 4216, 594, 30000, 1930, 1524, 835, 2427, 1773, 5217, 9087, 2812, 1472, 519, 3490, 540, 4677, 2371, 786, 2992, 519, 3141, 781, 1769, 689, 519, 2666, 547, 519, 2030, 799, 786, 2333, 519, 2030, 781, 2702, 547, 6337, 31731, 1125, 630, 2006, 3011, 1005, 741, 1426, 1040, 12567, 5521, 10860, 269, 476, 276, 269, 1773, 5217, 513, 6512, 540, 23240, 11956, 1472, 707, 2371, 538, 741, 2038, 5933, 786, 1832, 4677, 5521, 10860, 2059, 609, 2759, 19095, 693, 269, 1411, 666, 2119, 547, 946, 513, 4062, 540, 4837, 543, 5066, 519, 11956, 23240, 630, 3333, 4176, 2427, 6849, 519, 4837, 543, 4625, 5347, 264, 5196, 621, 1210, 513, 5862, 16945, 267, 1287, 946, 13811, 11746, 610, 2147, 547, 11746, 621, 547, 519, 4837, 609, 693, 2547, 476, 273, 4699, 28277, 936, 519, 4395, 6316, 540, 519, 4837, 267, 1818, 2386, 519, 23240, 13978, 5347, 1996, 519, 4837, 454, 8794, 674, 11798, 547, 14484, 8752, 5196, 23268, 13530, 2755, 594, 729, 15388, 1114, 2081, 547, 1628, 513, 3859, 14089, 594, 1336, 606, 2376, 827, 1018, 547, 798, 609, 11956, 23240, 269, 2290, 540, 519, 1919, 7396, 729, 827, 16298, 513, 4216, 609, 23240, 543, 11093, 513, 2030, 538, 519, 4216, 547, 2992, 519, 1769, 5196, 519, 2030, 865, 621, 1131, 581, 811, 11741, 5502, 267, 2759, 909, 1507, 17446, 540, 11956, 23240, 543, 3575, 873, 609, 707, 22890, 269, 634, 21743, 2427, 540, 519, 23240, 786, 2992, 1769, 267, 15658, 2590, 930, 1769, 25259, 10860, 689, 707, 10448, 15429, 269, 1306, 606, 3773, 22429, 267, 519, 23240, 786, 849, 2992, 16138, 5109, 1769, 1394, 593, 547, 707, 2371, 454, 2704, 26891, 23240, 269, 1325, 26891, 23240, 602, 649, 849, 917, 607, 6094, 23240, 568, 513, 1455, 7622, 6221, 602, 649, 946, 585, 5986, 543, 824, 8631, 269, 6736, 602, 713, 1570, 5654, 1360, 21743, 621, 1281, 2992, 1152, 827, 476, 2568, 260, 540, 519, 1769, 602, 2501, 538, 3346, 609, 519, 20585, 2427, 543, 519, 21743, 2427, 568, 1256, 1447, 14436, 2712, 333, 519, 1930, 851, 547, 519, 3141, 543, 1747, 707, 2030, 883, 621, 269, 634, 3141, 786, 2992, 593, 519, 23240, 799, 786, 31818, 519, 1769, 1394, 5196, 519, 2030, 269, 18789, 9338, 9331, 2562, 9331, 645, 2969, 9898, 312, 2659, 6552, 1175, 4465, 1405, 960, 267, 621, 2115, 9075, 267, 543, 596, 616, 856, 540, 602, 1932, 1325, 26891, 23240, 666, 581, 1360, 2500, 693, 10452, 1769, 269, 1703, 616, 1732, 2326, 856, 972, 267, 899, 14436, 1250, 24882, 602, 616, 4443, 547, 960, 609, 269, 1703, 568, 849, 513, 1587, 1572, 14484, 1460, 799, 568, 513, 1250, 24882, 19389, 16833, 1031, 585, 13471, 543, 621, 4465, 1405, 15237, 540, 18846, 899, 11956, 269, 4634, 1175, 7206, 1945, 3043, 666, 960, 2731, 1434, 1325, 26891, 23240, 630, 4649, 268, 2568, 260, 1769, 2992, 2032, 264, 1325, 26891, 23240, 630, 10193, 1634, 607, 17646, 23240, 264, 568, 1419, 1031, 538, 519, 10051, 267, 543, 1082, 25210, 786, 1294, 602, 621, 781, 21743, 543, 17429, 576, 602, 621, 949, 581, 513, 1434, 4781, 547, 2992, 1769, 1394, 693, 707, 15267, 2371, 269, 6736, 1018, 4667, 16022, 267, 519, 20585, 2427, 540, 11956, 23240, 2965, 9356, 1769, 1732, 982, 519, 269, 3057, 476, 1626, 267, 476, 1001, 271, 269, 1948, 273, 269, 1325, 26891, 23240, 1835, 1074, 956, 799, 3123, 1769, 547, 2097, 547, 513, 2582, 1448, 269, 13518, 899, 31068, 606, 1884, 896, 513, 3172, 4328, 4837, 267, 596, 786, 1034, 2693, 1205, 6978, 17236, 952, 596, 946, 621, 269, 3502, 1434, 585, 519, 1884, 610, 707, 2371, 454, 23409, 568, 1018, 20555, 707, 15267, 2371, 269, 1473, 3233, 25210, 1590, 946, 5841, 8279, 547, 11349, 741, 7031, 269, 634, 25210, 602, 1205, 519, 5207, 11729, 723, 835, 3364, 538, 1455, 269, 1358, 782, 946, 14436, 2326, 269, 769, 713, 5816, 267, 649, 20272, 519, 1034, 2442, 2010, 540, 14436, 2326, 585, 11255, 15267, 10651, 13298, 982, 1175, 17967, 873, 1169, 7008, 540, 2395, 267, 594, 946, 513, 3141, 4216, 630, 531, 26891, 23240, 538, 513, 21489, 7901, 7944, 264, 547, 2992, 519, 3141, 1394, 883, 1250, 2371, 269, 634, 4216, 18795, 1175, 3297, 519, 2371, 543, 568, 5594, 1447, 5667, 4774, 982, 513, 6007, 540, 524, 559, 656, 549, 6322, 21286, 2509, 519, 5842, 12770, 7345, 7412, 519, 1394, 540, 519, 1769, 1489, 609, 11956, 23240, 610, 513, 11604, 547, 2992, 1769, 5196, 519, 2371, 269, 901, 568, 18593, 267, 855, 4679, 1769, 593, 519, 2371, 269, 12305, 519, 24638, 15620, 610, 1332, 8279, 269, 1403, 596, 2811, 1210, 24638, 15620, 267, 946, 513, 7848, 540, 3579, 1606, 1051, 5300, 543, 3636, 1606, 1051, 5300, 15620, 1325, 26891, 23240, 554, 2931, 8831, 547, 519, 1390, 13964, 267, 607, 1134, 256, 1677, 1832, 17237, 7786, 2476, 689, 707, 31480, 543, 824, 5388, 267, 3575, 17446, 540, 11956, 23240, 609, 707, 4677, 22890, 269, 1306, 513, 22429, 4324, 267, 519, 23240, 786, 2992, 1769, 1394, 909, 5196, 707, 2371, 269, 5213, 1405, 4413, 891, 12202, 4388, 602, 786, 4688, 596, 942, 267, 2724, 543, 4674, 1879, 596, 2322, 11956, 23240, 538, 519, 9486, 267, 519, 21743, 2427, 540, 519, 23240, 1058, 581, 11329, 2509, 519, 3544, 540, 519, 2777, 269, 898, 568, 519, 1034, 14436, 2427, 540, 519, 23240, 543, 814, 519, 1655, 4960, 540, 10452, 7943, 269, 6496, 11956, 23240, 2992, 11158, 1769, 286, 8299, 19965, 1769, 568, 1776, 2165, 585, 3141, 1769, 454, 299, 1343, 3874, 8654, 666, 1831, 20585, 855, 952, 596, 11746, 11956, 23240, 547, 519, 3330, 3382, 540, 519, 1769, 267, 519, 15941, 786, 2992, 1055, 540, 621, 543, 1711, 513, 17321, 19542, 269, 1656, 713, 568, 1175, 851, 540, 519, 1082, 3096, 540, 26459, 23240, 602, 666, 948, 596, 538, 4948, 4247, 476, 273, 269, 22320, 12518, 269, 769, 519, 1482, 1259, 267, 596, 666, 946, 23240, 547, 2992, 811, 7943, 5196, 707, 2371, 865, 789, 1332, 1732, 269, 20233, 23240, 9944, 707, 2371, 267, 610, 11746, 23240, 547, 513, 2627, 543, 1747, 621, 1985, 547, 707, 2371, 269, 476, 274, 269, 5901, 623, 3949, 589, 3118, 269, 1403, 596, 723, 513, 4677, 267, 13793, 17446, 540, 23240, 1472, 621, 547, 15658, 5017, 543, 1507, 2831, 269, 634, 21743, 7252, 543, 17285, 563, 325, 11798, 568, 660, 3983, 547, 946, 267, 1224, 1250, 3095, 1657, 269, 1775, 723, 1031, 621, 536, 275, 1299, 723, 2944, 513, 1449, 530, 270, 1299, 530, 270, 334, 23240, 269, 952, 519, 23240, 814, 23743, 525, 579, 786, 1205, 3905, 9634, 530, 270, 2614, 1769, 267, 1299, 1705, 6633, 930, 540, 1250, 6978, 338, 269, 519, 1449, 729, 6140, 10917, 1644, 1299, 28326, 26105, 269, 950, 1775, 1031, 519, 23240, 593, 1250, 6821, 5288, 1175, 6366, 3043, 267, 519, 1661, 1186, 9782, 909, 606, 3328, 540, 476, 274, 5232, 674, 269, 952, 579, 21645, 1616, 547, 4444, 513, 19619, 540, 1250, 24882, 267, 979, 4444, 513, 1906, 540, 1346, 269, 9255, 707, 2371, 538, 513, 13566, 6885, 543, 1747, 513, 3043, 2992, 528, 3297, 707, 19155, 269, 594, 1810, 1405, 4363, 1210, 11956, 23240, 607, 596, 2196, 519, 1981, 540, 5986, 519, 2371, 269, 634, 3043, 2992, 528, 786, 2992, 519, 1769, 547, 519, 19758, 728, 540, 707, 2371, 602, 616, 711, 6849, 519, 6885, 269, 901, 786, 948, 707, 2371, 547, 1332, 2786, 543, 6006, 344, 1411, 666, 1899, 4587, 2992, 832, 609, 21743, 11956, 23240, 547, 1683, 811, 1769, 267, 610, 1256, 1747, 971, 23240, 610, 3043, 7252, 3297, 2030, 26892, 585, 8086, 269, 8752, 7274, 849, 12772, 13497, 2282, 519, 7475, 540, 24638, 13740, 267, 1256, 1007, 3283, 269, 1403, 596, 723, 4587, 13740, 267, 543, 789, 616, 3478, 513, 3787, 4158, 2282, 519, 7475, 540, 519, 15620, 267, 713, 568, 513, 563, 763, 3141, 10237, 919, 1769, 267, 930, 540, 799, 10596, 998, 519, 3618, 781, 5790, 547, 581, 12842, 676, 2371, 267, 3037, 267, 1216, 267, 543, 865, 593, 269, 12559, 528, 6883, 7101, 5050, 6052, 269, 2368, 2326, 10110, 1769, 267, 543, 8754, 1648, 267, 1732, 982, 1866, 269, 589, 21743, 1570, 899, 11956, 11148, 547, 2992, 513, 2603, 540, 3002, 1247, 3574, 543, 6405, 10110, 513, 1454, 2362, 8167, 634, 23240, 3085, 1405, 2992, 607, 1454, 1769, 607, 3043, 5862, 610, 1332, 8874, 267, 855, 519, 2179, 540, 1769, 10630, 1058, 2087, 2030, 2208, 269, 2052, 596, 946, 17646, 23240, 585, 513, 1332, 4055, 286, 1325, 26891, 674, 11798, 2433, 1325, 26891, 23240, 568, 1100, 811, 982, 476, 4649, 260, 14436, 910, 952, 1031, 267, 1118, 2386, 602, 519, 20585, 2427, 568, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 3445, 3952, 2620, 267, 513, 3135, 585, 519, 2481, 729, 5697, 693, 519, 7522, 652, 1448, 540, 519, 27905, 267, 1141, 519, 666, 27267, 729, 1152, 476, 3583, 3952, 2647, 693, 519, 1216, 1377, 269, 3689, 3357, 519, 1818, 540, 513, 4155, 2759, 856, 540, 519, 4396, 4224, 2059, 519, 6316, 540, 519, 27905, 547, 519, 3135, 540, 519, 2481, 269, 901, 729, 4553, 676, 519, 19309, 540, 513, 4129, 542, 15993, 547, 31818, 519, 2095, 540, 519, 6908, 1247, 519, 13210, 941, 1373, 3710, 269, 898, 9863, 818, 706, 748, 960, 543, 972, 941, 1082, 22303, 269, 17023, 1164, 17160, 32761, 539, 519, 4129, 542, 1568, 543, 538, 519, 2038, 5933, 540, 519, 23072, 519, 10151, 2481, 3710, 547, 31818, 519, 6908, 729, 14356, 10032, 563, 3722, 4629, 7704, 5990, 23333, 9331, 289, 8656, 681, 4353, 2207, 267, 538, 519, 3557, 540, 6115, 267, 513, 5458, 30756, 518, 17043, 729, 3710, 547, 31818, 519, 2095, 689, 851, 540, 519, 3135, 540, 519, 9835, 21676, 23932, 12456, 269, 769, 519, 32215, 666, 581, 2938, 851, 540, 519, 1804, 3786, 799, 8075, 519, 8030, 2324, 593, 519, 2481, 269, 634, 8115, 2066, 519, 5757, 729, 6368, 11251, 538, 519, 6405, 540, 519, 2481, 563, 763, 8030, 12758, 547, 741, 4305, 267, 2705, 267, 543, 1310, 2947, 1296, 540, 818, 706, 748, 11668, 519, 2481, 11542, 2347, 269, 4014, 621, 3800, 476, 1220, 3952, 2059, 519, 30160, 267, 621, 568, 1152, 930, 476, 3583, 3952, 2066, 693, 922, 3490, 267, 1373, 12303, 513, 530, 8354, 540, 6405, 6378, 538, 513, 2620, 27905, 269, 634, 4463, 540, 519, 2481, 568, 476, 29044, 3952, 267, 543, 585, 1082, 1296, 519, 1744, 9655, 821, 12456, 4371, 519, 2594, 607, 1373, 519, 5207, 540, 21394, 269, 634, 2481, 568, 3177, 609, 1079, 17752, 25310, 267, 476, 1015, 3952, 4009, 267, 543, 513, 21383, 3118, 269, 634, 13111, 4646, 676, 519, 20808, 3774, 568, 4557, 4009, 5195, 538, 6708, 609, 606, 3328, 3178, 540, 476, 4037, 3952, 267, 676, 799, 513, 8778, 540, 2244, 476, 13670, 267, 1822, 14143, 538, 6708, 814, 1044, 1500, 3514, 585, 14713, 563, 3080, 540, 519, 1034, 20498, 1216, 5726, 905, 1846, 5645, 856, 676, 519, 8030, 540, 519, 13163, 568, 602, 1634, 607, 519, 1133, 4818, 1695, 26572, 5741, 269, 634, 1133, 4818, 1695, 26572, 17934, 879, 568, 513, 8778, 540, 2244, 538, 5045, 2914, 3480, 12548, 543, 20705, 547, 519, 772, 974, 12075, 269, 634, 6554, 11751, 519, 2244, 689, 873, 267, 6410, 519, 12075, 11992, 543, 8118, 519, 8664, 547, 11175, 269, 634, 3148, 1373, 10694, 543, 2635, 267, 519, 2244, 729, 6385, 3144, 909, 269, 898, 729, 782, 31567, 11125, 730, 267, 2705, 267, 676, 519, 7297, 540, 519, 1133, 4818, 1695, 26572, 5211, 269, 2991, 513, 1906, 1296, 713, 6908, 10393, 12015, 909, 267, 865, 602, 519, 11125, 730, 1858, 8519, 267, 15250, 1841, 829, 1639, 267, 543, 5215, 540, 13896, 1185, 1100, 4781, 855, 547, 10205, 741, 11396, 543, 4734, 519, 8664, 563, 2005, 729, 2312, 602, 1100, 811, 1216, 1223, 581, 4547, 1524, 519, 1133, 4818, 1695, 26572, 267, 855, 4881, 6252, 547, 621, 513, 1906, 5195, 2476, 729, 519, 717, 18365, 2581, 5211, 269, 901, 6908, 8928, 585, 5195, 538, 513, 27905, 811, 982, 3368, 513, 13304, 2620, 269, 1215, 547, 31818, 519, 7297, 540, 713, 27905, 883, 519, 454, 1998, 2917, 729, 519, 1966, 269, 898, 729, 7805, 602, 519, 4129, 542, 267, 952, 621, 941, 2009, 267, 1223, 581, 1198, 539, 1152, 676, 513, 15993, 609, 835, 1439, 538, 519, 666, 27267, 543, 519, 824, 593, 519, 1133, 4818, 1695, 26572, 2427, 267, 9141, 998, 519, 18060, 532, 7823, 540, 24430, 2522, 12379, 320, 267, 799, 568, 476, 273, 267, 1822, 3952, 1164, 563, 2304, 13491, 24854, 30576, 720, 454, 2414, 1039, 547, 519, 7965, 713, 1880, 6712, 540, 519, 717, 18365, 2581, 24258, 1185, 2760, 1044, 8268, 269, 28055, 338, 1185, 1044, 1500, 267, 621, 568, 3020, 267, 855, 1100, 812, 1185, 2479, 16309, 538, 8429, 998, 519, 27905, 9800, 269, 23875, 546, 13550, 539, 267, 1079, 540, 519, 13163, 8030, 267, 589, 269, 700, 269, 26665, 3298, 543, 1010, 13930, 267, 654, 269, 654, 269, 8776, 5270, 267, 5462, 547, 2263, 519, 27905, 269, 1306, 1100, 10935, 1223, 1780, 998, 519, 9087, 5446, 887, 2130, 7297, 267, 789, 759, 9285, 547, 606, 1102, 3836, 12285, 20974, 816, 269, 16270, 713, 789, 16041, 14074, 267, 7405, 543, 26278, 2326, 269, 3414, 519, 3078, 2395, 799, 4553, 789, 3576, 741, 2729, 538, 741, 3946, 269, 27819, 1169, 4090, 729, 4904, 609, 2295, 12577, 23434, 269, 26665, 3298, 5423, 1010, 4967, 609, 1416, 267, 3576, 1082, 11147, 543, 2919, 519, 2258, 2510, 693, 3781, 269, 2353, 4574, 543, 11147, 941, 5402, 20386, 538, 11041, 7219, 543, 7923, 547, 1010, 1268, 269, 2991, 1896, 2395, 789, 6368, 7153, 689, 519, 666, 27267, 676, 1259, 540, 519, 8061, 559, 779, 22391, 267, 513, 649, 776, 18214, 8506, 1896, 3108, 585, 922, 22920, 269, 1358, 23012, 609, 741, 2729, 543, 10475, 4967, 543, 11147, 269, 4256, 20974, 816, 267, 7405, 267, 12514, 543, 14074, 4682, 1524, 609, 519, 17160, 269, 634, 4967, 8659, 1239, 6190, 547, 5815, 519, 23250, 540, 11651, 1154, 519, 717, 18365, 2581, 267, 585, 621, 729, 3254, 602, 519, 15038, 540, 602, 6908, 729, 14320, 1657, 602, 540, 519, 1133, 4818, 1695, 26572, 9503, 563, 310, 3036, 298, 10396, 5990, 16998, 13263, 2910, 308, 4041, 292, 667, 4456, 269, 769, 519, 32215, 6405, 568, 1373, 23953, 538, 519, 9456, 2865, 3296, 610, 519, 2497, 269, 769, 519, 3844, 3296, 267, 689, 799, 519, 12052, 5211, 729, 11651, 1540, 676, 513, 30756, 518, 17043, 267, 5127, 13702, 568, 1373, 9788, 11953, 585, 13210, 269, 769, 519, 4282, 666, 581, 2938, 513, 6192, 6405, 3625, 585, 519, 7262, 3296, 540, 519, 2481, 563, 763, 3803, 11837, 856, 540, 519, 666, 27267, 676, 1776, 540, 519, 13163, 779, 8030, 267, 594, 269, 654, 269, 5062, 3519, 24274, 267, 729, 4628, 607, 3078, 543, 5906, 607, 519, 3408, 960, 540, 26665, 3298, 269, 5062, 3519, 24274, 1185, 547, 581, 22485, 883, 519, 666, 27267, 865, 602, 646, 1223, 1118, 513, 4786, 540, 621, 269, 3973, 646, 3964, 5730, 2157, 693, 1312, 7475, 540, 519, 6069, 15993, 269, 5516, 729, 2556, 547, 1294, 602, 519, 9386, 540, 519, 15993, 729, 971, 602, 621, 1131, 4163, 519, 1697, 2179, 540, 1216, 883, 519, 14860, 269, 1677, 2327, 713, 267, 2157, 1185, 547, 581, 2196, 936, 519, 7823, 547, 519, 5377, 540, 519, 666, 27267, 269, 634, 960, 729, 7368, 1586, 543, 1586, 267, 543, 7403, 941, 3144, 1142, 942, 2394, 519, 3169, 9386, 2838, 1185, 1044, 5462, 269, 634, 960, 13026, 1896, 4374, 543, 13714, 730, 911, 332, 4771, 998, 11315, 17382, 2197, 1102, 6479, 609, 678, 25114, 333, 1389, 563, 763, 1985, 5650, 729, 547, 1628, 513, 476, 1626, 2173, 3796, 4155, 547, 519, 666, 27267, 267, 543, 547, 3715, 13122, 543, 11925, 269, 901, 8737, 267, 960, 593, 519, 15993, 729, 13175, 269, 898, 9863, 267, 2705, 267, 4376, 855, 606, 2653, 4305, 269, 20290, 1169, 7411, 2479, 11402, 538, 15993, 26995, 729, 1558, 609, 2443, 3154, 267, 13946, 15564, 543, 1016, 614, 10328, 20950, 269, 3683, 543, 936, 1586, 519, 2367, 941, 9141, 689, 519, 1568, 267, 543, 593, 1896, 14026, 621, 6743, 607, 952, 519, 1788, 1131, 723, 547, 581, 14460, 282, 855, 519, 8030, 12758, 547, 741, 4305, 543, 693, 519, 1439, 540, 2947, 1296, 1185, 22815, 1027, 519, 7823, 609, 513, 3670, 2173, 3796, 15993, 998, 799, 1216, 568, 5645, 547, 519, 19818, 344, 14860, 269, 1635, 606, 14969, 1062, 540, 23668, 267, 476, 5611, 267, 1822, 14143, 540, 5386, 2244, 723, 3976, 1044, 1500, 11327, 269, 769, 598, 10811, 542, 609, 519, 1133, 4818, 1695, 26572, 5741, 568, 513, 2481, 593, 519, 13177, 5211, 267, 13977, 26690, 5195, 689, 519, 717, 18365, 2581, 267, 547, 4558, 476, 11793, 267, 15996, 23505, 3952, 540, 1216, 547, 7110, 454, 1492, 2095, 540, 519, 717, 18365, 2581, 543, 865, 547, 3142, 1776, 1804, 1858, 896, 14713, 563, 1103, 476, 4350, 278, 519, 2034, 5207, 2481, 538, 3013, 729, 519, 744, 14567, 31649, 12456, 267, 593, 519, 5757, 540, 602, 2012, 538, 14822, 269, 634, 2481, 568, 513, 7372, 544, 21863, 2497, 540, 519, 818, 3481, 8904, 1826, 267, 476, 28147, 3952, 1164, 267, 609, 513, 30160, 3259, 540, 476, 279, 2412, 3952, 269, 634, 4390, 540, 519, 13111, 568, 476, 276, 2190, 267, 4037, 276, 12945, 18126, 267, 30758, 547, 3142, 896, 14713, 513, 8778, 540, 2244, 476, 13301, 267, 1822, 14143, 538, 6708, 563, 299, 17999, 12456, 538, 519, 2622, 454, 302, 7719, 517, 814, 1079, 824, 1804, 12555, 21394, 267, 519, 12019, 25951, 12456, 267, 606, 3618, 543, 4224, 23752, 2497, 476, 7176, 3952, 1164, 543, 476, 274, 267, 8517, 3952, 1279, 267, 609, 513, 13111, 4390, 540, 476, 4281, 280, 267, 4335, 12945, 18126, 267, 543, 519, 21025, 599, 12456, 267, 3710, 540, 18574, 543, 6405, 22338, 267, 476, 8182, 3952, 1164, 267, 476, 273, 267, 7785, 3952, 1279, 267, 609, 513, 13111, 4390, 540, 476, 273, 267, 19054, 267, 1822, 12945, 18126, 563, 1103, 519, 7755, 334, 1456, 3557, 540, 6115, 568, 519, 9835, 21676, 23932, 12456, 267, 593, 519, 12052, 5211, 267, 930, 562, 27197, 5195, 7178, 540, 1975, 758, 2033, 269, 23548, 684, 538, 5412, 476, 4350, 276, 267, 713, 10325, 267, 950, 6192, 267, 786, 21221, 1256, 519, 645, 30629, 12456, 269, 9835, 21676, 23932, 568, 519, 7887, 540, 21394, 543, 519, 6574, 540, 782, 6405, 3889, 269, 634, 5301, 540, 519, 1788, 1331, 12555, 267, 1379, 1646, 267, 5757, 7939, 267, 543, 547, 513, 5634, 6708, 6360, 1852, 543, 519, 6454, 540, 12445, 269, 634, 2481, 568, 2966, 609, 513, 4463, 540, 476, 20862, 3952, 543, 513, 3259, 2059, 519, 30160, 540, 476, 275, 267, 1220, 3952, 267, 1152, 476, 4335, 3952, 1447, 982, 519, 30160, 540, 519, 2672, 330, 330, 584, 4446, 14141, 267, 538, 590, 785, 269, 898, 568, 513, 2484, 3677, 2497, 267, 2705, 267, 982, 922, 4095, 15180, 269, 2311, 922, 3490, 519, 9835, 21676, 23932, 12456, 814, 513, 8700, 540, 476, 4335, 3952, 267, 512, 1653, 532, 547, 476, 1789, 3952, 693, 519, 1283, 269, 898, 786, 2270, 811, 982, 1614, 2053, 607, 1454, 6405, 607, 519, 645, 30629, 12456, 267, 5111, 476, 1556, 267, 7742, 267, 1822, 12945, 18126, 267, 8204, 513, 2597, 540, 827, 476, 2420, 267, 4335, 267, 1822, 9748, 563, 763, 21383, 3118, 267, 4092, 538, 519, 8998, 540, 519, 2481, 267, 568, 2966, 585, 513, 3259, 540, 476, 272, 267, 20981, 3952, 267, 609, 513, 4390, 540, 476, 272, 267, 1822, 267, 1822, 12945, 3952, 540, 1216, 513, 2034, 269, 634, 2481, 568, 9709, 547, 6318, 519, 2627, 540, 519, 5757, 476, 28307, 3952, 543, 547, 1711, 513, 5318, 13111, 609, 513, 2627, 1858, 540, 476, 11025, 267, 1822, 14143, 267, 610, 476, 12553, 4009, 5195, 269, 2060, 513, 4390, 540, 476, 1015, 267, 1822, 267, 1822, 23505, 3952, 267, 519, 13111, 568, 2966, 547, 29379, 476, 272, 267, 1220, 267, 1822, 14143, 540, 3046, 1066, 543, 12303, 3653, 2244, 269, 2311, 2901, 1439, 540, 519, 2481, 786, 581, 513, 1379, 6728, 267, 543, 519, 2698, 3977, 540, 5122, 1648, 786, 581, 476, 273, 267, 10384, 267, 1822, 7504, 12741, 269, 901, 568, 811, 982, 7466, 519, 3977, 540, 519, 645, 30629, 12456, 2030, 267, 543, 3670, 2053, 602, 540, 519, 9649, 667, 22448, 704, 12456, 538, 8168, 6576, 269, 634, 6059, 1942, 540, 519, 3003, 10325, 568, 11278, 4037, 267, 1822, 267, 1822, 563, 300, 3036, 300, 2177, 18919, 2969, 667, 4456, 568, 835, 540, 519, 2185, 1390, 7496, 3710, 2066, 519, 17865, 5211, 267, 14151, 267, 2630, 519, 17619, 12456, 269, 4935, 519, 17865, 5211, 267, 538, 513, 3845, 540, 32210, 5195, 267, 814, 1044, 10736, 883, 513, 3126, 540, 1390, 12647, 267, 13936, 1216, 585, 12555, 538, 606, 25545, 2244, 563, 12812, 1934, 547, 1294, 519, 2584, 690, 9545, 675, 7110, 547, 713, 3184, 269, 0, 4131, 779, 1413, 693, 519, 1101, 4845, 563, 1607, 568, 513, 31209, 532, 3635, 910, 5225, 4019, 891, 16776, 547, 713, 6256, 563, 296, 512, 26786, 1250, 3946, 896, 1250, 32336, 267, 6836, 547, 4605, 519, 1526, 762, 5679, 12177, 593, 519, 7450, 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 ]
[ 513, 3860, 3070, 538, 1769, 540, 741, 3356, 4724, 476, 274, 291, 8228, 6149, 269, 634, 1788, 267, 799, 23083, 547, 946, 519, 11599, 2679, 781, 14616, 13050, 2326, 267, 2982, 875, 7537, 666, 581, 1031, 585, 4745, 9657, 543, 11808, 1247, 849, 4758, 513, 3140, 20100, 1007, 1272, 563, 11754, 1438, 5663, 568, 4657, 519, 2495, 540, 1018, 621, 1797, 585, 513, 1587, 547, 581, 26843, 267, 7432, 621, 689, 513, 2481, 940, 2669, 4845, 547, 513, 4960, 585, 513, 3860, 3070, 547, 10836, 563, 274, 264, 25841, 8447, 22802, 454, 4407, 19605, 5663, 2306, 621, 2009, 547, 22120, 2472, 543, 11177, 22573, 3283, 267, 922, 5383, 849, 8831, 547, 519, 840, 1790, 3174, 3942, 609, 513, 2147, 1764, 269, 4634, 1354, 519, 3684, 568, 5828, 593, 267, 519, 3157, 1031, 538, 19605, 5663, 630, 4456, 264, 3565, 547, 3653, 5786, 543, 3895, 811, 13476, 7874, 2504, 2853, 563, 2414, 5965, 585, 543, 13918, 4657, 2157, 540, 3747, 267, 621, 568, 22232, 585, 1082, 2757, 9755, 547, 7048, 593, 4509, 2168, 6006, 538, 16292, 17346, 563, 4913, 267, 16292, 17346, 2097, 609, 1896, 942, 19985, 2230, 19985, 543, 2724, 21791, 11393, 269, 898, 666, 581, 942, 21791, 547, 1832, 519, 2230, 909, 547, 4266, 543, 5710, 519, 11891, 267, 799, 568, 24858, 1317, 602, 942, 1223, 723, 1044, 1031, 585, 1945, 811, 11327, 269, 769, 1249, 267, 1175, 9878, 585, 519, 2230, 568, 513, 21898, 16341, 10421, 563, 4456, 6087, 9755, 547, 4558, 3059, 22331, 9233, 540, 21957, 6119, 602, 616, 4483, 762, 1063, 1585, 2504, 6703, 267, 607, 10353, 547, 5329, 2168, 12215, 540, 2472, 269, 20668, 666, 581, 3812, 607, 543, 950, 789, 616, 2877, 267, 2864, 982, 10655, 7452, 538, 606, 16079, 532, 4055, 543, 267, 5555, 267, 1373, 16207, 2476, 952, 1100, 3476, 5551, 267, 7064, 547, 519, 3432, 543, 8112, 540, 19605, 5663, 630, 4456, 264, 4066, 602, 8597, 547, 11385, 908, 3747, 563, 6097, 547, 2353, 274, 7894, 781, 2376, 593, 834, 12749, 7913, 654, 732, 5264, 15107, 13257, 585, 1975, 732, 3487, 476, 274, 291, 24614, 2437, 7537, 293, 294, 781, 3059, 16292, 327, 17639, 9074, 267, 799, 568, 513, 5057, 540, 922, 1439, 3562, 15134, 631, 2464, 1299, 20104, 12957, 3070, 267, 834, 523, 1963, 707, 2754, 547, 1832, 519, 2504, 1239, 538, 513, 2582, 267, 24019, 1062, 267, 4180, 602, 2694, 616, 3812, 2687, 547, 741, 16551, 1142, 543, 1169, 942, 2437, 1818, 834, 23251, 30744, 2504, 17215, 14323, 4799, 19445, 6427, 1559, 9004, 519, 991, 585, 2168, 16292, 17346, 538, 1840, 547, 4180, 811, 4096, 762, 2504, 543, 6908, 23164, 519, 17825, 540, 5663, 2066, 2789, 2504, 6703, 269, 1879, 2694, 616, 1500, 607, 2877, 267, 4238, 1831, 1454, 12863, 1317, 11991, 1570, 3653, 568, 15286, 563, 3519, 6761, 3823, 5663, 32262, 949, 1689, 607, 513, 1267, 540, 19605, 5663, 781, 2702, 547, 3082, 547, 4657, 3747, 2864, 982, 13546, 977, 1947, 12394, 547, 1544, 585, 621, 538, 4434, 563, 20228, 4770, 17904, 267, 4425, 24031, 28521, 454, 2005, 568, 1898, 547, 2015, 782, 11775, 540, 513, 1587, 781, 1272, 4783, 593, 519, 4155, 547, 8236, 3020, 2804, 9764, 640, 269, 2776, 1790, 3174, 267, 2504, 267, 543, 2022, 1790, 3174, 3157, 782, 723, 513, 1909, 547, 1404, 267, 865, 14469, 543, 9542, 1590, 581, 3144, 883, 2272, 10876, 563, 7212, 519, 4049, 2825, 3441, 3361, 676, 5663, 781, 3653, 995, 21274, 568, 4742, 7543, 547, 11716, 267, 621, 568, 711, 9670, 602, 4213, 616, 4466, 621, 2352, 547, 2736, 519, 4356, 269, 19833, 616, 865, 2130, 543, 8907, 8952, 533, 4979, 2362, 538, 519, 2413, 7082, 2344, 781, 2528, 540, 4028, 24826, 563, 4913, 267, 519, 3070, 547, 713, 2518, 3390, 991, 711, 3895, 6940, 693, 519, 13258, 540, 21022, 12434, 269, 26094, 538, 1312, 2127, 568, 1631, 2009, 7064, 547, 19605, 5663, 563, 19102, 1078, 2504, 4398, 267, 2799, 1374, 13916, 267, 543, 2799, 2504, 8112, 2285, 7537, 519, 2702, 547, 1118, 2724, 543, 4688, 2724, 1247, 8195, 2870, 519, 2175, 585, 3653, 547, 3136, 547, 7771, 269, 0, 301, 11246, 306, 281, 4208, 3884, 1406, 972, 3859, 2507, 888, 3963, 616, 972, 1100, 3859, 1949, 593, 6552, 2146, 31241, 3591, 7498, 2691, 968, 1478, 476, 274, 269, 275, 2929, 8241, 8075, 1631, 723, 31241, 641, 3859, 267, 1419, 13564, 2213, 676, 2229, 15314, 892, 888, 2026, 20402, 1586, 538, 513, 2487, 2376, 538, 634, 22062, 566, 267, 1946, 616, 7087, 2950, 1107, 10820, 945, 1995, 1164, 2157, 540, 1648, 22584, 267, 31028, 687, 543, 23934, 2566, 1107, 1869, 7361, 1510, 31241, 641, 3859, 888, 23530, 814, 1044, 7361, 8810, 607, 606, 2500, 1505, 547, 5352, 7622, 1379, 543, 2569, 1648, 3790, 585, 4557, 1218, 269, 634, 2487, 12681, 1788, 593, 7671, 808, 1575, 584, 337, 584, 5055, 779, 2777, 6462, 676, 22731, 5295, 18327, 1175, 713, 269, 1306, 5941, 538, 519, 2376, 267, 519, 476, 277, 269, 277, 298, 310, 3859, 5044, 1062, 7727, 513, 3791, 540, 519, 2777, 779, 1379, 538, 1022, 2016, 3923, 563, 763, 2376, 11828, 2417, 519, 9431, 7496, 28142, 513, 7839, 5066, 13050, 267, 782, 540, 799, 666, 581, 7753, 609, 786, 563, 2026, 2916, 1689, 27938, 711, 1152, 519, 4390, 585, 1004, 547, 9308, 2661, 538, 6552, 2950, 267, 1085, 528, 4221, 5210, 585, 6905, 5712, 786, 849, 1764, 519, 7344, 3937, 799, 786, 581, 2838, 547, 1832, 1004, 3579, 1107, 18402, 267, 2011, 2783, 619, 267, 2199, 8637, 267, 535, 5090, 2471, 267, 543, 1863, 345, 619, 563, 21446, 622, 267, 20019, 4264, 2081, 585, 1004, 538, 6552, 2950, 547, 1569, 1379, 267, 1832, 741, 5321, 693, 2661, 762, 5210, 543, 723, 535, 5090, 2471, 2324, 547, 4558, 11955, 543, 1426, 568, 11613, 2556, 2221, 543, 786, 581, 1256, 811, 865, 538, 519, 2104, 563, 1692, 798, 6552, 2950, 2628, 585, 741, 1379, 1299, 1018, 568, 519, 4567, 888, 7093, 335, 4660, 5201, 568, 519, 1292, 1259, 538, 799, 6552, 2950, 1569, 741, 1379, 269, 7433, 2048, 12741, 6486, 685, 11751, 538, 840, 1606, 564, 5666, 18121, 1015, 267, 1269, 736, 267, 1269, 2004, 3092, 4700, 689, 519, 2199, 4558, 610, 14643, 616, 7361, 1031, 547, 1569, 519, 1379, 538, 891, 2950, 6383, 689, 2199, 2213, 17088, 18402, 2196, 676, 5295, 4826, 563, 1103, 811, 3844, 2127, 971, 607, 519, 7705, 25951, 4884, 13122, 267, 513, 1007, 2048, 9008, 909, 685, 1062, 568, 1031, 547, 4452, 5491, 2047, 5196, 519, 11281, 693, 513, 2777, 563, 22711, 476, 273, 269, 3838, 2630, 267, 1336, 602, 476, 11011, 260, 540, 519, 476, 20065, 271, 10820, 2713, 538, 476, 2764, 2950, 538, 519, 8832, 24540, 1141, 3341, 599, 568, 32486, 4810, 1582, 16162, 28947, 2621, 538, 519, 476, 1001, 279, 270, 866, 2883, 1032, 269, 1280, 5176, 1614, 6709, 11467, 540, 10820, 267, 602, 5949, 811, 982, 476, 1015, 2053, 563, 10702, 14540, 267, 6402, 543, 2542, 593, 713, 1888, 24121, 268, 4750, 1107, 476, 272, 269, 4045, 539, 281, 31241, 641, 3859, 267, 3341, 599, 543, 4227, 1648, 22584, 538, 6552, 5245, 454, 268, 4750, 1107, 476, 273, 269, 6052, 22584, 1282, 2837, 26037, 538, 22647, 5245, 454, 268, 7433, 1107, 476, 274, 269, 18323, 26037, 22652, 1648, 22584, 1107, 5245, 2115, 547, 1732, 1489, 6552, 7087, 2950, 547, 5965, 1631, 454, 268, 634, 3689, 8315, 11162, 6052, 8416, 616, 15156, 585, 2973, 1648, 3785, 609, 2200, 543, 10274, 547, 4217, 2950, 543, 14540, 563, 268, 19358, 4868, 699, 7027, 3194, 16735, 630, 22372, 538, 631, 335, 23702, 928, 270, 8334, 25951, 264, 3323, 14236, 519, 2078, 1063, 2837, 267, 5201, 946, 543, 32246, 1582, 16162, 28947, 538, 476, 1001, 279, 269, 1358, 917, 1101, 1688, 602, 3665, 3002, 568, 513, 2462, 3390, 267, 543, 519, 1297, 540, 3665, 2837, 2395, 538, 476, 1001, 279, 270, 866, 20546, 539, 1256, 519, 1034, 4049, 20327, 540, 1018, 649, 1223, 2503, 896, 2104, 2916, 1689, 7653, 563, 2171, 10950, 4098, 609, 1507, 8397, 21804, 971, 607, 602, 593, 7671, 808, 1575, 584, 337, 584, 5055, 779, 2777, 269, 1879, 21804, 616, 8810, 547, 960, 267, 519, 1985, 1900, 568, 1287, 547, 6338, 519, 1062, 811, 4922, 1107, 649, 1413, 4464, 547, 3356, 538, 713, 2230, 269, 0, 23175, 5995, 568, 835, 540, 519, 1455, 10108, 538, 1034, 1004, 267, 602, 4422, 676, 922, 1378, 3006, 267, 543, 3006, 621, 3936, 956, 1310, 2921, 4915, 563, 3383, 713, 1888, 786, 2995, 596, 2009, 1919, 827, 14331, 563, 1432, 22549, 10361, 5995, 1772, 888, 23175, 5995, 568, 513, 1360, 1455, 2783, 602, 1082, 1004, 2066, 519, 1158, 1995, 693, 930, 1448, 538, 741, 1272, 563, 5278, 949, 1205, 26043, 14331, 267, 930, 1745, 1360, 14220, 267, 543, 21616, 950, 519, 15677, 2501, 563, 15919, 621, 4422, 593, 922, 1378, 267, 855, 3006, 621, 666, 581, 1336, 547, 581, 2938, 11179, 543, 585, 513, 1279, 942, 799, 568, 711, 3339, 3364, 563, 763, 2085, 268, 20598, 1242, 476, 272, 4458, 9860, 540, 26043, 729, 476, 1839, 269, 273, 4939, 9860, 729, 2362, 1851, 8951, 982, 9038, 543, 1851, 1346, 689, 6917, 2127, 982, 4683, 563, 3963, 6496, 901, 19732, 523, 888, 23175, 5995, 1281, 4755, 585, 1082, 4128, 267, 1934, 616, 519, 1034, 1455, 4128, 799, 1331, 912, 268, 13262, 267, 570, 3290, 454, 268, 4438, 519, 2776, 2173, 523, 11584, 531, 4783, 849, 4755, 454, 268, 19768, 540, 3207, 454, 268, 853, 6729, 3154, 267, 950, 596, 798, 711, 5305, 519, 3154, 267, 865, 713, 4422, 20733, 547, 519, 2634, 267, 1291, 2212, 1928, 454, 268, 4787, 6235, 3548, 1426, 585, 1279, 6066, 267, 799, 849, 1291, 547, 31808, 1145, 454, 268, 25530, 28246, 4568, 543, 7296, 454, 268, 12017, 518, 267, 1291, 547, 10845, 454, 268, 1403, 595, 25377, 710, 267, 543, 7401, 4616, 568, 1164, 454, 268, 12019, 267, 2770, 849, 1291, 15677, 454, 5278, 2564, 2175, 666, 849, 1291, 547, 2212, 1928, 454, 268, 4400, 1973, 2604, 454, 268, 570, 32214, 267, 28563, 5338, 267, 543, 1022, 3968, 538, 519, 2634, 454, 268, 769, 25691, 538, 15532, 454, 268, 7843, 1602, 531, 16209, 454, 1432, 4523, 769, 3776, 11020, 2755, 593, 519, 10361, 5995, 888, 308, 2955, 621, 899, 713, 1107, 1879, 596, 616, 9292, 3072, 610, 2324, 1932, 1454, 267, 891, 5122, 7575, 1705, 711, 1256, 2285, 519, 2634, 513, 4960, 547, 1964, 563, 1607, 3123, 6091, 267, 543, 1973, 8043, 547, 2220, 749, 267, 543, 519, 13285, 6494, 513, 19060, 540, 1928, 6835, 547, 519, 2634, 267, 799, 6770, 513, 15677, 563, 7628, 513, 15677, 267, 519, 2095, 540, 1973, 2469, 547, 519, 2634, 4991, 4957, 267, 6091, 1376, 547, 13404, 543, 2220, 749, 267, 519, 2634, 3085, 1406, 960, 5265, 563, 15650, 540, 10361, 5995, 454, 2467, 616, 1082, 2010, 540, 14331, 267, 621, 568, 711, 2009, 547, 2995, 827, 782, 540, 873, 267, 855, 1934, 616, 476, 275, 1292, 2010, 799, 616, 2938, 513, 2603, 563, 763, 18980, 568, 606, 2011, 23752, 2230, 538, 938, 15693, 602, 4249, 513, 2101, 1909, 547, 3132, 22024, 563, 2252, 972, 568, 1022, 6553, 543, 1022, 3968, 789, 949, 1291, 547, 18980, 14331, 563, 19613, 281, 5983, 3650, 267, 32336, 321, 2158, 267, 543, 1063, 4064, 563, 306, 19434, 15677, 1034, 4122, 4523, 593, 519, 30432, 543, 538, 519, 3068, 269, 3371, 616, 2589, 540, 513, 18980, 15677, 1331, 912, 2467, 568, 513, 2603, 540, 1928, 538, 519, 2212, 609, 31264, 563, 2005, 6238, 593, 835, 2427, 540, 519, 2212, 543, 949, 3262, 547, 1312, 5011, 540, 519, 2212, 267, 543, 713, 568, 1644, 547, 5075, 267, 3280, 267, 543, 1769, 563, 19613, 281, 3399, 609, 519, 30432, 267, 543, 4422, 519, 2427, 540, 519, 2212, 563, 10144, 7092, 689, 2834, 31264, 917, 602, 789, 616, 2469, 547, 723, 513, 15677, 1354, 519, 1928, 4386, 563, 2080, 568, 930, 2601, 602, 12153, 26043, 15677, 799, 2882, 912, 268, 595, 25377, 710, 267, 15516, 294, 454, 268, 10434, 4568, 4616, 454, 268, 19768, 540, 3207, 454, 268, 7102, 1826, 540, 2566, 454, 268, 28246, 4915, 946, 267, 949, 849, 1291, 547, 26043, 563, 1607, 568, 835, 540, 519, 1455, 14331, 267, 898, 7930, 4679, 267, 543, 519, 1268, 949, 1745, 713, 912, 268, 898, 949, 1745, 899, 1119, 532, 513, 9395, 6512, 593, 519, 2212, 454, 268, 10266, 949, 3262, 547, 519, 3026, 1188, 454, 268, 10266, 666, 2333, 7646, 547, 9793, 454, 268, 2904, 2333, 1282, 3232, 2534, 454, 19613 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4632, 562, 1535, 533, 19336, 692, 1892, 631, 281, 3213, 324, 13266, 8159, 519, 5276, 10659, 540, 962, 692, 335, 1535, 533, 685, 19336, 692, 1892, 2473, 281, 18763, 4632, 562, 1535, 630, 330, 266, 272, 264, 19336, 692, 1892, 645, 281, 22953, 3213, 324, 13266, 630, 330, 1341, 272, 264, 1535, 533, 685, 19336, 692, 1892, 661, 281, 18438, 562, 1535, 533, 685, 19336, 692, 1892, 2290, 3118, 30654, 1384, 312, 300, 815, 2473, 289, 1341, 661, 692, 333, 281, 7089, 540, 5396, 630, 10849, 969, 725, 11305, 1162, 2020, 335, 281, 7089, 540, 8200, 4632, 815, 476, 272, 692, 330, 281, 7089, 540, 4830, 4632, 815, 513, 910, 476, 272, 692, 5416, 815, 7089, 540, 6688, 585, 3815, 589, 2020, 1892, 962, 281, 562, 1535, 476, 272, 19336, 692, 1892, 631, 281, 476, 272, 1535, 476, 272, 19336, 815, 2480, 531, 541, 630, 272, 2020, 1892, 645, 281, 630, 330, 266, 272, 32589, 476, 272, 19336, 630, 330, 815, 513, 910, 272, 282, 25589, 1892, 2473, 281, 562, 1535, 17347, 266, 272, 264, 19336, 630, 330, 815, 513, 910, 272, 2020, 1892, 661, 281, 562, 1535, 476, 272, 19336, 692, 1892, 2290, 8862, 599, 30654, 692, 7078, 1384, 16898, 333, 343, 272, 815, 630, 305, 864, 264, 333, 1535, 476, 274, 265, 289, 274, 1535, 476, 272, 1341, 2037, 1535, 476, 272, 692, 16898, 333, 343, 272, 284, 586, 272, 13787, 523, 343, 274, 815, 476, 272, 476, 272, 476, 271, 645, 274, 343, 272, 815, 16061, 271, 2037, 343, 272, 284, 31330, 272, 692, 344, 273, 476, 272, 476, 272, 476, 271, 16061, 272, 31330, 273, 692, 907, 2560, 2560, 2507, 16061, 273, 1547, 780, 907, 476, 272, 476, 271, 476, 272, 1547, 780, 907, 476, 272, 476, 271, 476, 272, 1547, 780, 907, 2560, 8796, 269, 2560, 692, 272, 910, 272, 910, 272, 692, 2106, 476, 272, 910, 272, 910, 272, 31330, 333, 692, 1892, 5517, 3645, 30654, 1384, 312, 300, 815, 2473, 289, 1341, 661, 692, 333, 281, 7089, 540, 5396, 630, 10849, 969, 725, 11305, 1162, 2020, 335, 281, 7089, 540, 8200, 4632, 815, 476, 272, 692, 330, 281, 7089, 540, 4830, 4632, 815, 705, 910, 476, 272, 692, 5416, 815, 1297, 540, 6688, 585, 3815, 589, 282, 536, 815, 1297, 540, 6688, 585, 3815, 645, 2020, 1892, 962, 281, 562, 1535, 476, 272, 19336, 692, 1892, 631, 281, 476, 272, 1535, 476, 272, 19336, 815, 2480, 531, 541, 630, 272, 2020, 1892, 645, 281, 630, 330, 266, 272, 264, 1535, 476, 272, 19336, 630, 330, 815, 705, 910, 476, 272, 2020, 1892, 2473, 281, 562, 1535, 630, 330, 266, 272, 264, 19336, 630, 330, 815, 705, 910, 476, 272, 2020, 1892, 661, 281, 562, 1535, 476, 272, 19336, 692, 1892, 5517, 3645, 30654, 692, 7078, 1384, 16898, 333, 343, 272, 815, 630, 305, 864, 267, 5441, 267, 17813, 265, 31955, 264, 333, 1535, 476, 277, 265, 289, 277, 1535, 476, 272, 1341, 2037, 1535, 476, 272, 692, 16898, 333, 343, 272, 284, 586, 272, 2473, 333, 343, 277, 815, 476, 272, 476, 272, 476, 271, 476, 272, 476, 272, 476, 271, 645, 277, 343, 272, 815, 16061, 271, 692, 344, 273, 476, 272, 476, 272, 476, 271, 910, 272, 910, 272, 476, 271, 15512, 272, 630, 15869, 272, 2020, 907, 2560, 2560, 8796, 2507, 16061, 273, 630, 15869, 273, 264, 10371, 476, 272, 476, 271, 476, 272, 476, 272, 476, 271, 476, 272, 16061, 274, 630, 3712, 5076, 2020, 907, 476, 272, 476, 271, 476, 272, 910, 272, 476, 271, 910, 272, 16061, 275, 630, 15869, 272, 1535, 2852, 2020, 907, 2560, 8796, 16634, 16061, 276, 630, 15869, 273, 1535, 2852, 264, 476, 272, 910, 272, 910, 272, 476, 272, 910, 272, 910, 272, 692, 2106, 476, 272, 910, 272, 910, 272, 910, 272, 476, 272, 476, 272, 692, 1892, 4888, 4596, 22849, 1384, 312, 300, 815, 2473, 289, 1341, 661, 692, 333, 281, 7089, 540, 5396, 630, 10849, 969, 725, 11305, 1162, 2020, 335, 281, 7089, 540, 8200, 4632, 815, 476, 272, 692, 330, 281, 7089, 540, 4830, 4632, 815, 705, 1341, 524, 1107, 476, 272, 692, 5416, 815, 1297, 540, 6688, 585, 3815, 589, 282, 536, 815, 1297, 540, 6688, 585, 3815, 645, 282, 524, 815, 1297, 540, 23656, 919, 2020, 1892, 962, 281, 562, 1535, 476, 272, 19336, 692, 1892, 631, 281, 476, 272, 1535, 476, 272, 19336, 815, 2480, 531, 541, 630, 272, 2020, 1892, 645, 281, 737, 266, 272, 1535, 476, 272, 19336, 630, 330, 815, 705, 1341, 524, 910, 476, 272, 2020, 1892, 2473, 281, 562, 1535, 737, 266, 272, 19336, 630, 330, 815, 705, 1341, 524, 910, 476, 272, 2020, 1892, 661, 281, 630, 333, 1535, 476, 272, 264, 19336, 692, 1892, 4888, 4596, 22849, 692, 7078, 1384, 16898, 333, 343, 272, 815, 630, 305, 864, 267, 5441, 267, 17813, 265, 31955, 267, 12429, 318, 9254, 264, 333, 1535, 476, 278, 265, 289, 278, 1535, 476, 272, 1341, 2037, 1535, 476, 272, 692, 16898, 333, 343, 272, 284, 586, 272, 2473, 333, 343, 277, 815, 476, 272, 476, 272, 476, 271, 476, 272, 476, 272, 476, 271, 476, 275, 645, 278, 343, 272, 815, 16061, 271, 692, 344, 273, 476, 272, 476, 272, 476, 271, 910, 272, 910, 272, 476, 271, 476, 278, 15512, 272, 630, 15869, 272, 2020, 907, 2560, 2560, 8796, 2507, 16061, 273, 630, 15869, 273, 264, 10371, 476, 272, 476, 271, 476, 272, 476, 272, 476, 271, 476, 272, 476, 274, 16061, 274, 630, 3712, 5076, 2020, 907, 476, 272, 476, 271, 476, 272, 910, 272, 476, 271, 910, 272, 476, 273, 16061, 275, 630, 15869, 272, 1535, 2852, 2020, 907, 2560, 8796, 16634, 16061, 276, 630, 15869, 273, 1535, 2852, 264, 476, 272, 910, 272, 910, 272, 476, 272, 910, 272, 910, 272, 476, 276, 15512, 277, 630, 293, 1430, 318, 9254, 2020, 2106, 476, 272, 910, 272, 910, 272, 910, 272, 476, 272, 476, 272, 476, 274, 692, 1892, 22953, 1384, 312, 300, 815, 2473, 289, 1341, 661, 692, 333, 281, 7089, 540, 5396, 630, 10849, 969, 725, 11305, 1162, 2020, 335, 281, 7089, 540, 8200, 4632, 815, 476, 272, 692, 330, 281, 7089, 540, 4830, 4632, 692, 17347, 949, 1331, 4632, 10452, 5872, 2360, 267, 543, 5924, 20078, 559, 710, 541, 2360, 2020, 1892, 962, 281, 562, 1535, 476, 272, 19336, 692, 1892, 631, 281, 476, 272, 1535, 476, 272, 19336, 815, 2480, 531, 541, 630, 272, 2020, 1892, 645, 281, 630, 330, 266, 272, 264, 1535, 476, 272, 19336, 692, 1892, 2473, 281, 562, 1535, 630, 330, 266, 272, 264, 19336, 692, 1892, 661, 281, 562, 1535, 476, 272, 19336, 692, 1892, 631, 3198, 23701, 1384, 312, 300, 815, 2473, 289, 1341, 661, 692, 333, 281, 7089, 540, 5396, 630, 10849, 969, 725, 11305, 1162, 2020, 335, 281, 7089, 540, 8200, 4632, 692, 330, 281, 7089, 540, 4830, 4632, 815, 705, 910, 476, 272, 692, 5416, 815, 1297, 540, 6688, 585, 3815, 589, 282, 536, 815, 1297, 540, 6688, 585, 3815, 645, 2020, 1892, 962, 281, 562, 1535, 533, 19336, 692, 1892, 631, 281, 533, 1535, 533, 14740, 19336, 692, 1892, 645, 281, 630, 330, 266, 272, 264, 1535, 533, 19336, 630, 330, 815, 705, 910, 476, 272, 2020, 1892, 2473, 281, 562, 1535, 630, 330, 266, 272, 264, 19336, 630, 330, 815, 705, 910, 476, 272, 2020, 1892, 661, 281, 630, 333, 1535, 533, 264, 19336, 692, 292, 3052, 269, 533, 284, 273, 692, 1892, 631, 3198, 23701, 692, 7078, 1384, 31855, 5183, 267, 20554, 264, 333, 343, 273, 815, 630, 305, 864, 267, 5441, 267, 17813, 265, 31955, 264, 333, 1535, 476, 277, 265, 289, 277, 1535, 476, 273, 1341, 2037, 1535, 476, 273, 692, 312, 333, 343, 273, 284, 586, 1556, 586, 1321, 2473, 333, 343, 277, 815, 476, 272, 476, 272, 476, 271, 476, 272, 476, 272, 476, 271, 645, 277, 343, 272, 815, 16061, 4905, 15512, 6349, 692, 344, 2641, 586, 2420, 476, 272, 476, 272, 476, 271, 910, 272, 910, 272, 476, 271, 15512, 1556, 16061, 1321, 692, 907, 10371, 2560, 2560, 8796, 2507, 16061, 2641, 16061, 2420, 10371, 10371, 476, 272, 476, 271, 476, 272, 476, 272, 476, 271, 476, 272, 16061, 4029, 16061, 3953, 692, 907, 10371, 476, 272, 476, 271, 476, 272, 910, 272, 476, 271, 910, 272, 16061, 6078, 16061, 6078, 692, 907, 10371, 2560, 8796, 16634, 16061, 7906, 16061, 7906, 476, 272, 910, 272, 910, 272, 476, 272, 910, 272, 910, 272, 692, 2106, 272, 586, 333, 273, 476, 272, 910, 272, 910, 272, 910, 272, 476, 272, 476, 272, 692, 300, 815, 476, 272, 476, 271, 692, 271, 476, 272, 692, 1892, 15901, 730, 21474, 30654, 630, 20751, 28175, 915, 3815, 17107, 312, 300, 815, 2473, 289, 1341, 661, 692, 333, 281, 7089, 540, 5396, 630, 10849, 969, 725, 11305, 1162, 2020, 335, 281, 7089, 540, 8200, 4632, 815, 512, 268, 272, 630, 339, 815, 1297, 540, 2157, 270, 9392, 2404, 609, 519, 667, 309, 2020, 330, 815, 476, 271, 692, 1892, 962, 281, 562, 1535, 533, 19336, 692, 1892, 631, 281, 533, 1535, 630, 335, 910, 476, 272, 264, 19336, 692, 1892, 645, 281, 476, 272, 343, 630, 335, 910, 476, 272, 264, 19336, 692, 1892, 2473, 281, 562, 1535, 476, 272, 19336, 630, 19066, 476, 272, 281, 782, 2281, 815, 476, 272, 2020, 1892, 661, 281, 562, 1535, 630, 335, 910, 272, 264, 19336, 692, 292, 3052, 269, 533, 284, 273, 692, 1892, 15901, 730, 5336, 324, 5501, 30654, 692, 7078, 1384, 16898, 333, 343, 273, 631, 273, 343, 272, 284, 630, 16898, 272, 910, 20554, 273, 264, 333, 343, 272, 815, 2473, 333, 343, 272, 265, 289, 272, 343, 272, 1341, 2037, 1535, 476, 272, 692, 16898, 333, 343, 273, 284, 586, 1556, 586, 1321, 631, 815, 476, 272, 20554, 265, 300, 815, 586, 1556, 910, 586, 1321, 2473, 333, 343, 272, 815, 476, 272, 645, 274, 343, 272, 815, 16061, 271, 692, 344, 2641, 586, 2420, 910, 272, 586, 2641, 910, 344, 2420, 476, 272, 2560, 2560, 692, 1862, 2560, 2560, 2560, 692, 2106, 272, 586, 333, 273, 2106, 272, 910, 2106, 273, 476, 272, 692, 1892, 23688, 21725, 22953, 1384, 312, 300, 815, 2473, 289, 1341, 661, 692, 333, 281, 7089, 540, 5396, 630, 10849, 969, 725, 11305, 1162, 2020, 335, 281, 7089, 540, 8200, 4632, 692, 330, 281, 7089, 540, 4830, 4632, 692, 17347, 949, 1331, 4632, 10452, 5872, 2360, 10484, 663, 5924, 20078, 559, 710, 541, 2360, 2020, 1892, 962, 281, 562, 1535, 533, 19336, 692, 1892, 631, 281, 533, 1535, 533, 14740, 19336, 692, 1892, 645, 281, 630, 330, 266, 272, 264, 1535, 533, 19336, 692, 1892, 2473, 281, 562, 1535, 630, 330, 266, 272, 264, 19336, 692, 1892, 661, 281, 630, 333, 1535, 533, 264, 19336, 692, 1892, 5564, 21725, 22953, 692, 7078, 1384, 31855, 5183, 267, 20554, 264, 333, 343, 273, 815, 630, 293, 1430, 318, 292, 706, 267, 12624, 318, 14807, 264, 333, 1535, 476, 273, 265, 289, 273, 1535, 476, 273, 1341, 2037, 1535, 476, 273, 692, 312, 333, 343, 273, 815, 586, 1556, 586, 1321, 2473, 333, 343, 277, 815, 476, 276, 476, 275, 645, 277, 343, 272, 815, 16061, 4905, 15512, 6349, 692, 344, 2641, 586, 2420, 476, 278, 476, 277, 16061, 1556, 16061, 1321, 692, 907, 10371, 2560, 2560, 10371, 10371, 476, 274, 476, 273, 692, 907, 10371, 476, 272, 476, 275, 692, 907, 10371, 2560, 8796, 476, 272, 476, 274, 692, 2106, 272, 586, 333, 273, 476, 273, 476, 273, 692, 300, 815, 476, 272, 476, 271, 692, 271, 476, 272, 692, 1892, 674, 12089, 11790, 815, 595, 1538, 5566, 25159, 692, 1892, 595, 20654, 919, 815, 23120, 25159, 692, 1892, 9509, 5517, 3645, 7844, 630, 29239, 264, 25883, 5472, 1292, 543, 5872, 2360, 585, 674, 12089, 2188, 7132, 1292, 2360, 585, 23656, 919, 780, 1892, 19336, 631, 630, 29239, 264, 815, 14740, 5119, 780, 300, 666, 1152, 581, 9138, 676, 16105, 1384, 292, 3052, 269, 667, 8817, 4756, 540, 1719, 281, 20554, 1107, 476, 1015, 265, 9391, 318, 294, 5183, 692, 21923, 300, 20554, 15101, 318, 294, 5183, 692, 3528, 17813, 5441, 692, 4415, 12429, 318, 25531, 12624, 318, 25531, 692, 19072, 30467, 815, 20554, 476, 272, 15101, 318, 294, 5183, 910, 1015, 692, 270, 11328, 1061, 284, 25147, 692, 270, 17637, 284, 17813, 5441, 17813, 265 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 910, 4343, 277, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 1240, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 1240, 815, 910, 4343, 278, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 866, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 866, 815, 910, 4343, 279, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 736, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 736, 815, 910, 4343, 280, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 2641, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 2641, 815, 910, 29496, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 2420, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 2420, 815, 910, 4375, 272, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 2537, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 2537, 815, 910, 4375, 273, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 2190, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 2190, 815, 910, 4375, 274, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 1839, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 1839, 815, 910, 4375, 275, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 2918, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 2918, 815, 910, 4375, 276, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 2767, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 2767, 815, 910, 31256, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 2764, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 2764, 815, 910, 4375, 278, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 3066, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 3066, 815, 910, 4375, 279, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 1789, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 1789, 815, 910, 274, 4200, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 4029, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 4029, 815, 910, 6110, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 3953, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 3953, 815, 910, 25002, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 3451, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 3451, 815, 910, 29710, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 4097, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 4097, 815, 910, 29889, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 3374, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 3374, 815, 910, 29024, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 3607, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 3607, 815, 910, 28147, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 4391, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 4391, 815, 910, 32076, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 4343, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 4343, 815, 910, 2412, 278, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 4375, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 4375, 815, 910, 2412, 279, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 2412, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 2412, 815, 910, 30156, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 6078, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 6078, 815, 910, 25148, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 5655, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 5655, 815, 910, 30329, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 6246, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 6246, 815, 910, 31404, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 4510, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 4510, 815, 910, 31979, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 3393, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 3393, 815, 910, 29300, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 5379, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 5379, 815, 910, 25870, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 5325, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 5325, 815, 910, 275, 1626, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 4366, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 4366, 815, 910, 275, 1704, 5073, 825, 952, 1003, 272, 2652, 476, 276, 4029, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 5392, 912, 1038, 1820, 3488, 276, 4029, 268, 280, 5392, 815, 910, 275, 1240, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 12010, 912, 1038, 1820, 3488, 276, 3953, 268, 12010, 815, 910, 3607, 279, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3445, 272, 912, 1038, 1820, 3488, 276, 3953, 268, 3445, 272, 815, 910, 3607, 280, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3445, 273, 912, 1038, 1820, 3488, 276, 3953, 268, 3445, 273, 815, 910, 24907, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3445, 274, 912, 1038, 1820, 3488, 276, 3953, 268, 3445, 274, 815, 910, 4391, 272, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3445, 275, 912, 1038, 1820, 3488, 276, 3953, 268, 3445, 275, 815, 910, 4391, 273, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3445, 276, 912, 1038, 1820, 3488, 276, 3953, 268, 3445, 276, 815, 910, 32699, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3445, 277, 912, 1038, 1820, 3488, 276, 3953, 268, 3445, 277, 815, 910, 4391, 275, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3445, 278, 912, 1038, 1820, 3488, 276, 3953, 268, 3445, 278, 815, 910, 23841, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3445, 279, 912, 1038, 1820, 3488, 276, 3953, 268, 3445, 279, 815, 910, 4391, 277, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3445, 280, 912, 1038, 1820, 3488, 276, 3953, 268, 3445, 280, 815, 910, 4391, 278, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 1015, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 1015, 815, 910, 274, 4281, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 26605, 912, 1038, 1820, 3488, 276, 3953, 268, 26605, 815, 910, 4391, 280, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 1321, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 1321, 815, 910, 23884, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 1724, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 1724, 815, 910, 4343, 272, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 1691, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 1691, 815, 910, 4343, 273, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 1428, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 1428, 815, 910, 4343, 274, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 1626, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 1626, 815, 910, 29575, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 1704, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 1704, 815, 910, 4343, 276, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 1240, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 1240, 815, 910, 4343, 277, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 866, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 866, 815, 910, 4343, 278, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 736, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 736, 815, 910, 4343, 279, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 2641, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 2641, 815, 910, 4343, 280, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 2420, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 2420, 815, 910, 29496, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 2537, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 2537, 815, 910, 4375, 272, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 2190, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 2190, 815, 910, 4375, 273, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 1839, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 1839, 815, 910, 4375, 274, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 2918, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 2918, 815, 910, 4375, 275, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 2767, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 2767, 815, 910, 4375, 276, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 2764, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 2764, 815, 910, 31256, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 3066, 912, 1038, 1820, 3488, 276, 3953, 268, 280, 3066, 815, 910, 4375, 278, 5073, 825, 952, 1003, 272, 2652, 476, 276, 3953, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 1789, 912, 1038, 1820, 3488, 276, 3953 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13863, 693, 1970, 9830, 267, 799, 1797, 602, 1034, 540, 519, 900, 13955, 20256, 2611, 8900, 267, 543, 519, 556, 698, 757, 616, 1031, 1360, 28537, 569, 563, 1103, 519, 1085, 604, 328, 7304, 2793, 5498, 336, 1505, 267, 519, 2281, 616, 6825, 538, 4434, 609, 606, 3606, 536, 2117, 1712, 269, 1306, 513, 1267, 267, 519, 900, 13955, 20256, 666, 581, 16041, 609, 1082, 2281, 693, 519, 1482, 942, 267, 1247, 621, 568, 1869, 2009, 547, 5659, 1367, 2281, 269, 5530, 2278, 6754, 13096, 1782, 518, 6941, 281, 968, 4002, 519, 2442, 476, 1015, 343, 2637, 15299, 1062, 267, 649, 946, 713, 1505, 547, 2268, 476, 1428, 2053, 811, 1367, 2281, 269, 634, 3606, 536, 2117, 1712, 849, 2636, 519, 3593, 547, 1665, 543, 9192, 5215, 540, 5439, 538, 4434, 267, 543, 547, 1184, 1346, 5439, 1927, 538, 513, 2582, 2890, 22381, 573, 545, 2079, 269, 1306, 851, 540, 938, 1353, 267, 649, 5340, 513, 32073, 5496, 609, 2582, 16052, 10717, 15971, 1224, 719, 538, 1480, 570, 2281, 269, 769, 519, 2104, 267, 938, 1505, 949, 267, 1851, 824, 1919, 267, 948, 547, 2087, 6375, 6139, 1905, 625, 585, 519, 2126, 540, 2860, 3034, 2304, 3608, 1164, 28443, 1584, 1505, 609, 513, 2647, 2039, 540, 3156, 454, 19061, 338, 602, 991, 547, 4019, 2582, 16052, 10717, 15971, 547, 1360, 1804, 2338, 540, 2281, 610, 1360, 1082, 5439, 786, 3226, 4324, 689, 519, 1007, 1505, 269, 5741, 6205, 2441, 2684, 645, 1442, 6941, 281, 968, 2675, 604, 328, 7304, 2793, 5498, 336, 6087, 3608, 10717, 15971, 585, 6634, 540, 1367, 2281, 267, 799, 16881, 519, 18572, 540, 1950, 8031, 267, 8219, 267, 543, 3003, 7103, 269, 5047, 267, 538, 8790, 14037, 710, 621, 568, 1419, 3730, 547, 5659, 1082, 2582, 2281, 267, 585, 1383, 547, 3605, 4686, 6565, 2281, 538, 12970, 610, 2860, 2281, 538, 519, 1973, 269, 7053, 267, 1085, 604, 328, 11748, 5498, 336, 786, 3565, 547, 519, 7678, 602, 3075, 13819, 543, 32073, 13819, 616, 5051, 5916, 609, 1164, 22822, 2582, 16052, 15971, 1224, 8083, 269, 968, 454, 763, 1353, 968, 19575, 571, 30041, 28443, 1584, 2582, 16052, 10717, 15971, 543, 32677, 566, 9584, 609, 2036, 13541, 658, 5714, 545, 4994, 532, 892, 729, 3370, 538, 7186, 10613, 593, 476, 4029, 631, 2967, 476, 1708, 272, 630, 26020, 6619, 540, 1820, 1070, 20396, 281, 476, 1015, 269, 9818, 279, 4882, 25870, 10844, 268, 28512, 268, 18733, 7871, 22271, 454, 288, 18308, 281, 6754, 13096, 1782, 518, 267, 1656, 28584, 674, 269, 681, 29868, 10098, 267, 18897, 2088, 4425, 523, 651, 267, 9410, 7354, 2131, 578, 1080, 577, 267, 7338, 26689, 639, 326, 745, 828, 267, 8355, 773, 548, 4446, 516, 8619, 267, 2441, 2684, 645, 1442, 454, 293, 27448, 281, 901, 960, 729, 5342, 538, 519, 2796, 540, 1079, 22341, 3163, 8750, 630, 293, 310, 293, 264, 7981, 3194, 5358, 14828, 630, 293, 310, 293, 24700, 289, 674, 29637, 273, 282, 674, 310, 293, 24700, 289, 674, 10384, 272, 1040, 7338, 26689, 639, 326, 745, 828, 729, 6462, 676, 513, 700, 1047, 2725, 527, 1676, 31776, 689, 519, 22341, 3163, 8750, 630, 293, 310, 293, 631, 13301, 274, 1040, 2441, 2684, 645, 1442, 568, 6462, 676, 606, 661, 13612, 18786, 16827, 630, 28158, 5742, 779, 21222, 517, 476, 1708, 271, 1382, 543, 5647, 1982, 267, 9886, 6876, 1100, 269, 476, 6858, 280, 16409, 1916, 13731, 2684, 645, 1442, 568, 513, 9030, 31375, 693, 519, 9919, 12613, 3194, 4741, 585, 17449, 6925, 540, 519, 22341, 9142, 540, 7070, 538, 21499, 267, 1141, 646, 814, 3366, 513, 1382, 1895, 2094, 476, 1001, 273, 267, 543, 513, 7548, 540, 2564, 1217, 18267, 693, 519, 6481, 2160, 540, 21499, 2094, 476, 1708, 272, 269, 6969, 2441, 2684, 645, 1442, 8678, 9919, 12613, 267, 646, 729, 513, 2022, 25269, 693, 519, 16340, 4659, 540, 20037, 543, 12370, 543, 693, 12370, 2160, 630, 1220, 279, 268, 1001, 272, 1070, 543, 513, 12854, 2875, 693, 519, 7665, 23851, 4659, 585, 769, 26197, 630, 1220, 275, 268, 1220, 279, 1040, 1261, 568, 849, 3621, 4717, 13541, 540, 519, 4437, 32441, 14938, 9760, 11120, 1006, 540, 9919, 12613, 543, 2405, 4462, 328, 21499, 267, 968, 4486, 11001, 892, 693, 519, 32400, 12157, 16379, 10458, 4659, 585, 27824, 543, 25613, 328, 30938, 15302, 630, 299, 10292, 7304, 11070, 1070, 8284, 540, 519, 3864, 6997, 585, 4804, 543, 10164, 550, 7010, 630, 21822, 3041, 1070, 543, 11221, 4759, 540, 519, 8479, 9142, 540, 519, 22341, 9142, 540, 7070, 269, 1261, 814, 4607, 1271, 1382, 17758, 267, 1519, 519, 32572, 670, 23167, 29274, 540, 519, 7665, 23851, 5980, 630, 1220, 280, 1070, 606, 661, 13612, 18786, 16827, 630, 1001, 277, 268, 1708, 272, 1070, 606, 661, 13612, 3117, 13521, 1807, 16827, 630, 1708, 272, 268, 1708, 277, 1070, 543, 519, 3683, 2023, 15356, 540, 519, 4139, 5980, 585, 32492, 10334, 630, 1001, 278, 1040, 1280, 476, 1001, 280, 543, 476, 1708, 271, 646, 729, 3769, 538, 519, 2518, 1592, 540, 968, 11947, 569, 24764, 12824, 892, 676, 22548, 10675, 24630, 630, 3041, 296, 5680, 540, 3163, 1916, 763, 5692, 540, 9919, 12613, 3194, 4741, 585, 17449, 6925, 540, 519, 22341, 9142, 540, 7070, 568, 547, 3035, 5021, 3621, 5647, 538, 7636, 4915, 547, 2087, 3782, 269, 2311, 9919, 12613, 267, 606, 3486, 543, 3860, 2319, 540, 3744, 543, 2564, 7189, 5083, 1132, 1863, 16490, 2596, 1272, 2257, 1382, 538, 513, 1804, 543, 7524, 6413, 1604, 540, 14222, 2564, 2245, 543, 2259, 269, 9919, 12613, 779, 1382, 568, 1759, 593, 2022, 24932, 5669, 4066, 543, 6212, 593, 4468, 958, 1271, 3676, 267, 971, 607, 4761, 4713, 543, 5563, 267, 2860, 543, 10894, 4713, 269, 9919, 12613, 13333, 538, 513, 2189, 7154, 540, 2706, 18396, 7774, 267, 8220, 7350, 609, 4915, 267, 6901, 609, 19106, 267, 6602, 609, 8144, 267, 543, 2257, 609, 2486, 543, 519, 6575, 269, 634, 3804, 540, 9919, 12613, 568, 547, 22082, 519, 2257, 602, 10114, 999, 519, 5730, 267, 10531, 267, 16762, 543, 15324, 4915, 540, 519, 2104, 269, 9919, 12613, 14884, 513, 2413, 11100, 540, 24118, 3744, 543, 568, 4092, 693, 519, 13464, 540, 519, 4937, 11233, 543, 519, 6481, 2160, 540, 21499, 269, 8940, 269, 576, 7825, 269, 520, 454, 21357, 2160, 540, 21499, 630, 8469, 4462, 328, 21499, 264, 568, 835, 540, 519, 1034, 2757, 2564, 2069, 543, 1382, 6703, 538, 2342, 269, 2060, 3592, 476, 279, 267, 1822, 1053, 267, 621, 568, 4867, 519, 4102, 2564, 2866, 4099, 538, 519, 4436, 18702, 2477, 269, 2060, 476, 276, 267, 4335, 5520, 267, 476, 1789, 13623, 543, 1079, 4791, 32112, 267, 476, 1321, 2564, 3069, 7740, 543, 3875, 3810, 7463, 20682, 267, 621, 568, 849, 835, 540, 2342, 781, 3056, 1382, 24284, 538, 519, 24118, 5823, 269, 8940, 269, 4364, 684, 12685, 1329, 28482, 269, 520, 270, 19986, 19841, 0, 4263, 4569, 19063, 1756, 267, 649, 11348, 6000, 593, 12419, 6909, 4081, 2164, 585, 782, 938, 1053, 269, 3776, 2754, 781, 5692, 568, 547, 4001, 1453, 2979, 865, 789, 1174, 621, 267, 4487, 621, 267, 543, 2648, 621, 269, 1284, 917, 607, 596, 2347, 707, 1813, 31806, 538, 10756, 13043, 6478, 540, 519, 4303, 2501, 689, 519, 4569, 9218, 2854, 676, 4569, 19063, 1756, 563, 306, 1495, 599, 267, 5412, 476, 1724, 454, 288, 3126, 540, 9266, 3268, 538, 799, 513, 3932, 568, 6537, 676, 2047, 7744, 689, 513, 1305, 540, 6898, 602, 616, 1634, 610, 10924, 547, 581, 3020, 563, 31388, 267, 5412, 476, 1691, 454, 288, 1770, 540, 16070, 2268, 3160, 547, 476, 272, 270, 11740, 540, 513, 2347, 4838, 563, 307, 11698, 267, 5412, 476, 1428, 454, 288, 1770, 6498, 540, 513, 2837, 4336, 563, 26607, 11888, 267, 5412, 476, 1626, 454, 288, 7104, 2012, 540, 513, 1895, 540, 2147, 1919, 630, 1952, 956, 267, 5243, 267, 6279, 1916, 288, 15410, 540, 513, 3677, 1305, 1031, 547, 2697, 630, 528, 2012, 264, 519, 1880, 15410, 269, 1280, 1383, 267, 609, 834, 8314, 720, 2437, 519, 29559, 616, 519, 4408, 540, 519, 1880, 4063, 610, 11113, 1031, 676, 513, 1880, 2197, 563, 32637, 267, 5412, 476, 1704, 454, 257, 5719, 2012, 540, 13005, 6824, 4799, 763, 1297, 540, 3160, 2694, 538, 519, 2898, 6645, 721, 519, 21000, 1588, 267, 519, 2012, 267, 540, 513, 1455, 6824, 563, 763, 14009, 568, 519, 834, 321, 18847, 257, 1297, 538, 513, 1455, 6824, 563, 293, 27518, 267, 5412, 476, 1240, 454, 763, 4756, 538, 513, 1599, 269, 4706, 1871, 568, 8200, 593, 519, 1871, 540, 519, 4830, 4756, 563, 306, 12944, 267, 5412, 476, 866, 454, 763, 6482, 610, 546, 1307, 542, 18746, 267, 18807, 267, 610, 27808, 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 ]
[ 0, 258, 8193, 281, 30016, 268, 279, 7531, 5035, 21912, 8266, 15152, 23044, 263, 19368, 13286, 2187, 825, 1780, 692, 12163, 22287, 499, 421, 497, 378, 23989, 7511, 14756, 497, 30536, 454, 12163, 5035, 700, 11966, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1605, 332, 267, 1985, 318, 284, 14085, 2187, 1038, 1582, 4318, 12661, 815, 1605, 332, 454, 1038, 1582, 12785, 815, 1985, 318, 692, 12163, 9463, 359, 20069, 23989, 14035, 368, 9463, 502, 19404, 493, 7511, 22287, 499, 421, 497, 378, 23989, 454, 20701, 5035, 700, 8266, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 11519, 3650, 815, 7183, 692, 825, 1219, 568, 318, 24105, 4311, 2187, 1038, 2132, 1582, 11519, 3650, 568, 7183, 692, 825, 1219, 6449, 6352, 9191, 1345, 2187, 1038, 533, 815, 1582, 11519, 3650, 454, 1038, 552, 815, 476, 271, 454, 1038, 1247, 533, 568, 711, 7183, 912, 2018, 552, 6834, 476, 272, 454, 2018, 533, 815, 533, 12785, 454, 1038, 2132, 552, 692, 825, 1219, 2212, 4311, 2187, 1038, 2132, 1582, 11519, 3650, 692, 825, 1948, 2652, 454, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 952, 711, 568, 27349, 263, 1278, 267, 700, 8266, 2187, 2018, 6318, 7392, 13286, 454, 1038, 533, 267, 7117, 815, 1582, 11519, 3650, 267, 824, 23584, 4590, 1038, 1247, 630, 335, 568, 711, 7183, 264, 543, 630, 336, 568, 711, 7183, 2187, 2018, 952, 533, 4318, 12661, 2652, 7117, 4318, 12661, 912, 3546, 533, 267, 7117, 815, 533, 12785, 267, 7117, 12785, 454, 2018, 3116, 912, 3546, 2132, 8771, 454, 1038, 952, 630, 335, 543, 7117, 264, 568, 711, 7183, 912, 2018, 2132, 8771, 454, 1038, 2132, 6936, 692, 825, 1948, 2999, 454, 825, 1219, 6449, 2741, 9191, 1345, 267, 824, 2187, 1038, 952, 711, 568, 27349, 263, 1278, 267, 700, 8266, 2187, 2018, 6318, 7392, 13286, 454, 1038, 533, 267, 7117, 815, 1582, 11519, 3650, 267, 824, 23584, 4590, 1038, 1247, 630, 335, 568, 711, 7183, 264, 543, 630, 336, 568, 711, 7183, 2187, 2018, 952, 533, 4318, 12661, 2999, 7117, 4318, 12661, 912, 3546, 2132, 6936, 454, 2018, 8640, 533, 4318, 12661, 2652, 7117, 4318, 12661, 912, 3546, 533, 267, 7117, 815, 533, 12785, 267, 7117, 12785, 454, 2018, 3116, 912, 3546, 2132, 8771, 454, 1038, 952, 630, 335, 568, 7183, 264, 543, 630, 336, 568, 711, 7183, 2187, 2018, 2132, 6936, 454, 1038, 2132, 8771, 692, 825, 1948, 28825, 825, 1219, 6449, 25885, 9191, 1345, 267, 824, 2187, 1038, 952, 711, 568, 27349, 263, 1278, 267, 700, 8266, 2187, 2018, 6318, 7392, 13286, 454, 1038, 533, 267, 7117, 815, 1582, 11519, 3650, 267, 824, 23584, 4590, 1038, 1247, 630, 335, 568, 711, 7183, 264, 543, 630, 336, 568, 711, 7183, 2187, 2018, 952, 533, 4318, 12661, 3436, 7117, 4318, 12661, 912, 3546, 2132, 6936, 454, 2018, 8640, 533, 4318, 12661, 2652, 7117, 4318, 12661, 912, 3546, 533, 267, 7117, 815, 533, 12785, 267, 7117, 12785, 454, 2018, 3116, 912, 3546, 2132, 8771, 454, 1038, 952, 630, 335, 568, 711, 7183, 264, 543, 630, 336, 568, 7183, 2187, 2018, 2132, 6936, 454, 1038, 2132, 8771, 692, 825, 1948, 10922, 454, 825, 1219, 6449, 548, 9191, 1345, 267, 824, 2187, 1038, 952, 711, 568, 27349, 263, 1278, 267, 700, 8266, 2187, 2018, 6318, 7392, 13286, 454, 1038, 533, 267, 7117, 815, 1582, 11519, 3650, 267, 824, 23584, 4590, 1038, 1247, 630, 335, 568, 711, 7183, 264, 543, 630, 336, 568, 711, 7183, 2187, 2018, 952, 533, 4318, 12661, 2999, 7117, 4318, 12661, 912, 3546, 2132, 6936, 454, 2018, 8640, 533, 4318, 12661, 2652, 7117, 4318, 12661, 912, 3546, 533, 267, 7117, 815, 533, 12785, 267, 7117, 12785, 454, 2018, 3116, 912, 3546, 2132, 8771, 454, 1038, 952, 630, 335, 568, 711, 7183, 264, 543, 630, 336, 568, 7183, 2187, 2018, 2132, 8771, 454, 1038, 2132, 6936, 692, 825, 1948, 13843, 454, 825, 1219, 6449, 613, 9191, 1345, 267, 824, 2187, 1038, 952, 711, 568, 27349, 263, 1278, 267, 700, 8266, 2187, 2018, 6318, 7392, 13286, 454, 1038, 533, 267, 7117, 815, 1582, 11519, 3650, 267, 824, 23584, 4590, 1038, 1247, 630, 335, 568, 711, 7183, 264, 543, 630, 336, 568, 711, 7183, 2187, 2018, 952, 533, 4318, 12661, 3436, 7117, 4318, 12661, 912, 3546, 2132, 6936, 454, 2018, 8640, 533, 4318, 12661, 2652, 7117, 4318, 12661, 912, 3546, 533, 267, 7117, 815, 533, 12785, 267, 7117, 12785, 454, 2018, 3116, 912, 3546, 2132, 8771, 454, 1038, 952, 630, 335, 568, 7183, 264, 543, 630, 336, 568, 711, 7183, 2187, 2018, 2132, 8771, 454, 1038, 2132, 6936, 692, 825, 1219, 3341, 754, 4311, 267, 1605, 332, 2187, 1038, 1582, 11519, 3650, 815, 700, 11966, 16216, 12661, 267, 1582, 11519, 3650, 2020, 825, 1219, 1402, 4311, 2187, 1038, 952, 1582, 11519, 3650, 568, 7183, 912, 2018, 6318, 21912, 8266, 15152, 23044, 454, 1038, 552, 815, 1582, 11519, 3650, 4318, 12661, 454, 1038, 1582, 11519, 3650, 815, 1582, 11519, 3650, 12785, 454, 1038, 2132, 552, 692, 825, 1219, 16289, 4311, 267, 1605, 332, 2187, 1038, 952, 1582, 11519, 3650, 568, 7183, 912, 2018, 1582, 11519, 3650, 815, 700, 11966, 16216, 12661, 994, 2018, 2132, 454, 1038, 533, 815, 1582, 11519, 3650, 454, 1038, 1247, 533, 12785, 568, 711, 7183, 912, 2018, 533, 815, 533, 12785, 454, 1038, 533, 12785, 815, 700, 11966, 16216, 12661, 2020, 825, 1219, 1402, 9078, 770, 4311, 2187, 1038, 952, 1582, 11519, 3650, 568, 7183, 912, 2018, 6318, 21912, 8266, 15152, 23044, 454, 1038, 8640, 1582, 11519, 3650, 12785, 568, 7183, 912, 2018, 552, 815, 1582, 11519, 3650, 4318, 12661, 454, 2018, 1582, 11519, 3650, 815, 7183, 454, 2018, 2132, 552, 454, 1038, 533, 815, 1582, 11519, 3650, 454, 1038, 1247, 533, 12785, 12785, 568, 711, 7183, 912, 2018, 533, 815, 533, 12785, 454, 1038, 552, 815, 533, 12785, 4318, 12661, 454, 1038, 533, 12785, 815, 7183, 454, 1038, 2132, 552, 692, 825, 1219, 7696, 4311, 267, 1605, 332, 267, 1775, 2187, 1038, 952, 1775, 2999, 476, 271, 610, 1775, 3436, 7003, 4311, 2187, 2018, 6318, 21912, 8266, 15152, 23044, 454, 1038, 8640, 1775, 2652, 476, 271, 912, 2018, 1582, 269, 2181, 12323, 16216, 12661, 994, 1038, 3116, 912, 2018, 533, 815, 1582, 11519, 3650, 454, 2018, 1247, 533, 568, 711, 7183, 543, 1775, 3436, 476, 272, 912, 3546, 1775, 20699, 476, 272, 454, 3546, 533, 815, 533, 12785, 454, 2018, 533, 12785, 815, 700, 11966, 16216, 12661, 267, 533, 12785, 2020, 825, 1219, 1642, 339, 4311, 267, 1775, 2187, 1038, 952, 1775, 2999, 476, 271, 610, 1775, 13843, 7003, 4311, 264, 610, 1582, 11519, 3650, 568, 7183, 912, 2018, 6318, 21912, 8266, 15152, 23044, 454, 1038, 8640, 1775, 2652, 476, 271, 912, 2018, 1582, 21014, 4590, 1038, 3116, 912, 2018, 533, 815, 1582, 11519, 3650, 454, 2018, 1247, 533, 568, 711, 7183, 543, 1775, 3436, 476, 272, 912, 3546, 1775, 20699, 476, 272, 454, 3546, 533, 815, 533, 12785, 454, 2018, 533, 12785, 815, 533, 12785, 12785, 692, 825, 1219, 3406, 4311, 267, 1605, 332, 2187, 1038, 533, 815, 1582, 11519, 3650, 454, 1038, 552, 815, 476, 271, 454, 1038, 1247, 533, 568, 711, 7183, 912, 2018, 952, 533, 4318, 12661, 2652, 1605, 332, 912, 3546, 2132, 552, 454, 2018, 552, 6834, 476, 272, 454, 2018, 533, 815, 533, 12785, 454, 1038, 2132, 910, 272, 692, 258, 476, 9463, 359, 420, 25693, 13213, 498, 18713, 508, 418, 375, 350, 420, 370, 367, 335, 1042, 420, 364, 497, 13644, 491, 7511, 21588, 361, 22047, 30317, 27381, 510, 8147, 417, 28187, 31563, 28884, 13213, 498, 18713, 508, 19867, 478, 20069, 7511, 30317, 27381, 510, 8147, 23746, 23284, 12916, 379, 17958, 13200, 509, 29873, 417, 503, 357, 417, 479, 504, 29873, 7511, 13213, 511, 28786, 417, 503, 357, 25707, 825, 1219, 1265, 4311, 267, 2392, 2187, 1038, 533, 815, 1582, 11519, 3650, 454, 1038, 1247, 533, 568, 711, 7183, 912, 2018, 952, 2392, 9638, 4318, 12661, 2187, 3546, 2132, 533, 4318, 12661, 454, 2018, 533, 815, 533, 12785, 692, 258, 476, 23746, 23284, 13213, 498, 18713, 508, 418, 375, 350, 420, 370, 367, 420, 364, 497, 13644, 491, 7511, 19867, 478, 20069, 30317, 27381, 510, 8147, 23746, 23284, 17958, 1721, 23521, 354, 13213, 505, 27310, 23523, 359, 27064, 363, 418, 509, 354, 419, 506, 489, 25707, 825, 1219, 6882, 4311, 267, 2392, 2187, 1038, 533, 815, 1582, 11519, 3650, 454, 1038, 1247, 533, 568, 711, 7183, 912, 2018, 952, 2392, 9638, 4318, 12661, 2187, 3546, 6556, 533, 4318, 12661, 454, 2018, 533, 815, 533, 12785, 692, 825, 1219, 1820, 718, 4311, 2187, 1038, 533, 815, 1582, 11519, 3650, 454, 1038, 1247, 533, 568, 711, 7183, 912, 2018, 1820, 9638, 4318, 12661, 994, 2018, 533, 815, 533, 12785, 692, 825, 1219, 585, 21223, 778, 4311, 267, 22876, 2187, 1038, 533, 815, 1582, 11519, 3650, 454, 1038, 1247, 533, 568, 711, 7183, 912, 2018, 22876, 9638, 4318, 12661, 994, 2018, 533, 815, 533, 12785, 692, 258, 476, 13213, 511, 28786, 417, 503, 357, 8147, 12916, 379, 17958, 1721, 1775, 538, 544, 4289, 4318, 6123, 281, 13213, 505, 27310, 421, 479, 491, 31308, 484, 454, 825, 1219, 2609, 4311, 2187, 1038, 533, 815, 1582, 11519, 3650, 454, 1038, 1247, 533, 568, 711, 7183, 912, 2018, 6556, 533, 4318, 12661, 454, 2018, 533, 815, 533, 12785, 692, 258, 13127, 364, 484, 30244, 14748, 28032, 489, 31878, 30006, 498, 30853, 418, 350, 490, 31878, 31968, 7511, 13601, 418, 495, 508, 18263, 355, 8147, 419, 482, 370, 12571, 492, 13601, 10951, 361, 13601, 10951, 361, 418, 498, 378, 28996, 9463, 355, 14035, 500, 13601, 20001, 373, 25707, 825, 1219, 9258, 4311, 2187, 1038, 533, 815, 7183, 454, 1038, 1247, 1582, 11519, 3650, 568, 711, 7183, 912, 2018, 7117, 815, 1582, 11519, 3650, 454, 2018, 1582, 11519, 3650, 815, 7117, 12785, 454, 2018, 7117, 12785, 815, 533, 454, 2018, 533, 815, 7117, 454, 1038, 1582, 11519, 3650, 815, 533, 692, 825, 1219, 1592, 318, 961, 626, 4311, 267, 544, 4289, 2187, 1038, 585, 1775, 538, 2039, 12759, 9852, 4289, 9984, 272, 267, 910, 272, 267, 910, 272, 2187, 2018, 1582, 269, 2181, 12323, 9852, 4289, 5157, 20285, 825, 1219, 561, 4289, 8217, 4311, 2187, 1038, 2132, 1496, 328, 585, 1775, 538, 1582, 4318, 6123, 3890, 6540, 825, 1219, 2847, 318, 6665, 527, 4311, 267, 1566, 2187, 1038, 1582, 18622, 2091, 4590, 1038, 1582, 269, 1721, 21223, 778, 263, 641, 994, 1038, 1582, 18622, 2091, 10797, 825, 1219, 1642, 28804, 2711, 4311, 2187, 1038, 952, 1582, 11519, 3650, 568, 7183, 912, 2018, 6318, 21912, 8266, 15152, 23044, 454, 1038, 533, 815, 1582, 11519, 3650, 454, 1038, 1295, 19571, 815, 533, 4318, 12661, 454, 1038, 1247, 533, 12785, 568, 711, 7183, 912, 2018, 952, 1295, 19571, 3436, 533, 12785, 4318, 12661, 912, 3546, 1295, 19571, 815, 533, 12785, 4318, 12661, 454, 2018, 533, 815, 533, 12785, 692, 1038, 533, 815, 1582, 11519, 3650, 454, 1038, 7117, 815, 7183, 454, 1038, 1247, 533, 568, 711, 7183, 912, 2018, 952, 711, 7117, 543, 533, 4318, 12661, 2652, 1295, 19571, 912, 3546, 1582, 11519, 3650, 815, 1582, 11519, 3650, 12785, 454, 3546, 7117, 815, 1582, 11519, 3650, 454, 2018, 8640, 533, 4318, 12661, 2652, 1295, 19571, 912, 3546, 7117, 12785, 815, 533, 12785, 454, 3546, 952, 533, 12785, 568, 7183, 912, 7386, 2132, 454, 2018, 3116, 912, 3546, 7117, 815, 533, 454, 2018, 533, 815, 533, 12785, 692, 825, 1219, 1642, 318, 604, 4311, 267, 2392, 2187, 1038, 5727, 4840, 1038, 476, 30244, 26175, 491, 25913, 25622, 30006, 498, 20001, 481, 14035, 491, 23521, 480, 8147, 21251, 420, 25693, 20001, 378, 28996, 302, 3799, 264, 7511, 14035, 491, 23521, 480, 18021, 355, 28884, 418, 365, 480, 454, 1038, 8173, 1038, 1948, 533, 815, 1582, 11519, 3650, 454, 1038, 1948, 4994, 267, 1775, 815, 1496, 3910, 271, 454, 1038, 1948, 1247, 533, 568, 711, 7183, 912, 1038, 1948, 672, 952, 2392, 9638, 4318, 12661, 2187, 1038, 1948, 1363, 4994, 6910, 9217, 994, 1038, 1948, 672, 533, 815, 533, 12785, 454, 1038, 1948, 672, 1775, 6834, 476, 272, 454, 1038, 1948, 454, 1038, 1948, 1820, 263, 8161, 994, 1038, 1948, 585, 795, 538, 2039, 12759, 263, 8161, 9984, 272, 16427, 272, 16427, 272, 2187, 1038, 1948, 672, 1582, 6155, 3881, 263, 8161, 14728, 7481, 1038, 1948, 2132, 4994, 454, 1038, 533, 815, 1582, 11519, 3650, 454, 1038, 7117, 815, 7183, 454, 1038, 1247, 533, 568, 711, 7183, 912, 2018, 952, 711, 7117, 543, 2392 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24342, 476, 272, 1700, 1015, 540, 476, 2412, 585, 834, 20329, 1108, 13445, 257, 311, 1644, 547, 834, 296, 2969, 281, 674, 611, 610, 32263, 8119, 4676, 710, 2659, 9612, 4676, 710, 2659, 9612, 13445, 763, 2805, 630, 279, 264, 29590, 630, 277, 264, 5938, 839, 630, 276, 264, 10387, 10899, 1072, 630, 275, 264, 14399, 630, 274, 264, 476, 2412, 811, 1862, 1496, 266, 316, 15979, 630, 274, 264, 14549, 2924, 630, 274, 264, 9199, 6373, 630, 274, 264, 288, 3101, 630, 273, 264, 2704, 11533, 781, 630, 273, 264, 11514, 1464, 630, 273, 264, 21122, 532, 630, 273, 264, 31094, 1275, 630, 273, 264, 28036, 630, 273, 264, 306, 665, 1470, 11296, 4567, 630, 273, 264, 14818, 532, 2152, 630, 273, 264, 309, 2723, 775, 630, 273, 264, 11754, 11881, 630, 272, 264, 4696, 8461, 630, 272, 264, 17951, 518, 630, 272, 264, 2304, 3806, 630, 272, 264, 8505, 1143, 630, 272, 264, 31624, 2391, 630, 272, 264, 5719, 987, 1299, 12955, 630, 272, 264, 12831, 1833, 630, 272, 264, 28848, 4713, 630, 272, 264, 19733, 630, 272, 264, 295, 622, 10963, 630, 272, 264, 10890, 13103, 630, 272, 264, 29797, 16915, 630, 272, 264, 4504, 3485, 775, 630, 272, 264, 27736, 1299, 519, 2923, 630, 272, 264, 25187, 1299, 6530, 630, 272, 264, 11321, 5846, 1299, 16028, 630, 272, 264, 300, 26090, 630, 272, 264, 20332, 12469, 630, 272, 264, 11917, 7295, 630, 272, 264, 8070, 32034, 13262, 13081, 630, 272, 264, 32552, 1299, 1374, 630, 272, 264, 29189, 783, 6057, 630, 272, 264, 29189, 7081, 630, 272, 264, 306, 1506, 1145, 630, 272, 264, 306, 1636, 1299, 3635, 630, 272, 264, 18131, 1299, 2367, 630, 272, 264, 13480, 2897, 2152, 630, 272, 264, 295, 728, 3877, 291, 17805, 7392, 20329, 1108, 13445, 311, 17413, 1001, 272, 630, 272, 264, 11778, 476, 272, 1700, 1015, 540, 476, 2412, 19881, 476, 272, 476, 273, 476, 274, 3267, 8921, 25684, 7170, 589, 19053, 7170, 2098, 5025, 1715, 652, 3689, 6196, 652, 3689, 23037, 676, 281, 476, 272, 14389, 1749, 1299, 519, 9012, 10214, 1360, 1762, 1453, 538, 938, 2486, 1205, 513, 2462, 3232, 9570, 540, 8613, 267, 3381, 3756, 543, 2575, 18405, 269, 2755, 971, 2923, 666, 1683, 2069, 543, 9913, 267, 789, 666, 849, 1267, 538, 10728, 8456, 543, 10795, 2623, 10422, 2134, 1108, 13445, 476, 273, 269, 5938, 839, 5938, 839, 616, 18460, 519, 6211, 2242, 540, 23648, 543, 7680, 5042, 2242, 602, 1450, 873, 547, 1589, 811, 7493, 569, 269, 22291, 6043, 4388, 585, 12322, 543, 2792, 4388, 585, 3237, 10422, 2134, 1108, 13445, 476, 274, 269, 11917, 7295, 11917, 7295, 568, 6825, 676, 4430, 13250, 540, 1560, 3170, 3361, 676, 4719, 2188, 543, 8965, 2188, 2443, 2523, 4189, 1932, 1454, 543, 16706, 1932, 2370, 269, 25667, 666, 1291, 547, 3987, 267, 2295, 2068, 267, 3207, 19103, 543, 824, 2042, 10422, 2134, 1108, 13445, 476, 275, 10422, 1861, 532, 29261, 1616, 547, 2327, 1453, 779, 1072, 543, 3106, 267, 5965, 1453, 585, 1272, 607, 11327, 4079, 267, 543, 10141, 2686, 2418, 269, 25103, 547, 4388, 593, 14379, 609, 707, 3214, 267, 543, 811, 10422, 2134, 1108, 13445, 476, 276, 8160, 541, 5846, 543, 6555, 13396, 30144, 22888, 616, 1434, 585, 15185, 685, 2790, 543, 2168, 1072, 607, 1134, 607, 585, 1453, 282, 2705, 267, 827, 476, 2412, 547, 476, 2004, 2600, 540, 9310, 15185, 538, 519, 2136, 2276, 16028, 10422, 2134, 1108, 13445, 476, 277, 13034, 2988, 16915, 29797, 16915, 568, 513, 4480, 538, 799, 19353, 1118, 10372, 547, 2043, 945, 723, 22734, 513, 5650, 2966, 547, 6001, 873, 543, 1445, 741, 8186, 269, 898, 568, 1031, 547, 1521, 2175, 1519, 1928, 267, 4160, 267, 7099, 4713, 267, 543, 7296, 10422, 2134, 1108, 13445, 476, 278, 2529, 1410, 20329, 5505, 543, 824, 19353, 1445, 593, 1082, 2152, 3823, 3023, 1519, 2663, 1272, 3023, 267, 7393, 610, 19620, 4638, 8647, 543, 12257, 267, 16245, 850, 14524, 267, 16349, 552, 329, 659, 1637, 543, 11213, 26697, 267, 585, 1383, 269, 5369, 5505, 849, 960, 547, 1174, 3023, 25476, 267, 519, 9601, 540, 4638, 6057, 543, 22149, 267, 543, 2119, 547, 2569, 519, 18735, 540, 4638, 1242, 2592, 540, 1762, 2021, 538, 10229, 543, 519, 2923, 10422, 2134, 1108, 13445, 476, 279, 2529, 1410, 783, 18816, 29189, 783, 6057, 568, 13311, 4638, 2534, 267, 609, 10419, 21116, 1210, 3196, 267, 1818, 6937, 610, 2921, 5413, 540, 9601, 711, 2111, 547, 2285, 9844, 269, 1234, 13905, 1331, 8710, 267, 4250, 267, 771, 10964, 3971, 267, 4160, 610, 2022, 32034, 2566, 4524, 10422, 2134, 1108, 13445, 476, 280, 269, 10890, 2598, 1706, 885, 10890, 13103, 2049, 950, 3604, 538, 1072, 4567, 2291, 1063, 835, 2551, 1895, 538, 6476, 547, 513, 811, 3462, 3042, 1895, 267, 543, 1034, 2232, 2152, 540, 1514, 5126, 543, 9698, 269, 6258, 811, 827, 14905, 1382, 543, 1141, 547, 1205, 948, 10422, 2134, 1108, 13445, 476, 1015, 269, 14399, 20329, 5505, 666, 948, 1453, 11883, 609, 971, 2042, 607, 4160, 543, 4965, 267, 30759, 267, 7526, 609, 3237, 543, 17173, 2621, 899, 16028, 610, 513, 2385, 779, 2669, 10422, 2134, 1108, 13445, 19881, 476, 272, 476, 273, 476, 274, 3267, 8921, 25684, 7170, 589, 19053, 7170, 2098, 5025, 1715, 652, 3689, 6196, 652, 3689, 23037, 676, 281, 5084, 23615, 2316, 306, 30121, 11778, 476, 272, 1700, 1015, 540, 476, 2412, 585, 834, 20329, 1108, 13445, 257, 311, 1644, 547, 834, 296, 2969, 281, 674, 611, 610, 32263, 8119, 0, 5649, 713, 2022, 538, 4436, 630, 5719, 28852, 1070, 3943, 630, 293, 3757, 9809, 9820, 1070, 5053, 630, 292, 4944, 320, 10722, 565, 994, 289, 629, 10964, 568, 2921, 593, 1346, 7301, 2828, 269, 1809, 1810, 1406, 5855, 1107, 713, 3884, 1406, 513, 1272, 18006, 1576, 649, 2461, 11319, 267, 855, 938, 21777, 1788, 256, 5808, 596, 3442, 547, 1118, 1483, 2828, 609, 568, 1869, 909, 547, 596, 269, 634, 2856, 540, 938, 6216, 1007, 1576, 3898, 568, 547, 948, 596, 18390, 6330, 998, 14299, 6853, 10409, 7297, 593, 707, 1378, 7498, 2005, 568, 2864, 968, 32401, 2828, 892, 540, 519, 30827, 3099, 616, 519, 1641, 540, 713, 1576, 269, 1452, 616, 1808, 1913, 602, 3533, 1291, 547, 21390, 1063, 5065, 543, 4914, 4654, 269, 2311, 1101, 16145, 6822, 10631, 1947, 2241, 543, 9266, 267, 789, 1413, 543, 3280, 1476, 639, 5944, 7567, 1063, 4654, 269, 1280, 1383, 267, 2161, 2576, 6499, 547, 6085, 593, 519, 5767, 17431, 1996, 513, 18348, 22267, 538, 3943, 267, 7969, 610, 5053, 269, 8298, 1227, 267, 621, 4667, 519, 2262, 547, 946, 1131, 581, 26955, 332, 2970, 566, 267, 3897, 739, 23432, 7748, 610, 1629, 739, 571, 857, 11252, 269, 1358, 3100, 865, 2673, 547, 519, 2296, 1107, 855, 2943, 267, 538, 4641, 267, 865, 2484, 256, 769, 519, 23620, 4654, 621, 4016, 711, 547, 513, 968, 12047, 2970, 566, 892, 855, 513, 968, 335, 19948, 3034, 4517, 1247, 538, 2296, 267, 3943, 543, 5053, 596, 1522, 979, 547, 519, 15547, 19063, 1756, 267, 27590, 848, 610, 575, 574, 19063, 1470, 547, 960, 856, 267, 693, 513, 4436, 717, 2096, 19063, 1756, 596, 2461, 1454, 811, 2693, 547, 1265, 1762, 12322, 29367, 4974, 4724, 6280, 563, 3719, 621, 4991, 2731, 14845, 950, 1360, 2147, 1913, 723, 4625, 1114, 10096, 1063, 4654, 269, 1280, 1383, 267, 513, 10516, 538, 2296, 6770, 513, 12837, 267, 1247, 717, 3424, 538, 4436, 12462, 17763, 2581, 256, 14615, 1131, 6923, 2490, 602, 12837, 26700, 1524, 269, 1548, 4082, 1131, 621, 8300, 1851, 519, 22778, 2103, 267, 1498, 267, 950, 10516, 1797, 968, 3405, 3072, 892, 538, 16528, 267, 21785, 543, 20636, 630, 326, 3424, 538, 16528, 6902, 10516, 538, 20636, 264, 7790, 11631, 2485, 350, 291, 6403, 657, 544, 6403, 334, 256, 4347, 17802, 4358, 547, 1745, 4503, 538, 8144, 7498, 12812, 1934, 547, 1217, 3054, 593, 930, 540, 519, 12178, 538, 519, 1893, 596, 2461, 4867, 1565, 912, 23389, 8771, 14886, 454, 23210, 8771, 14886, 454, 28049, 8771, 14886, 454, 5649, 713, 2022, 538, 4436, 630, 5719, 28852, 994, 292, 548, 1597, 8924, 616, 1631, 2139, 585, 8837, 25439, 476, 279, 593, 519, 8837, 25439, 15188, 454, 1103, 5239, 476, 1001, 273, 9040, 10964, 3370, 22221, 8924, 585, 8837, 476, 279, 7305, 1206, 543, 7193, 338, 269, 1452, 29393, 723, 1044, 8704, 936, 476, 29496, 267, 1822, 2053, 865, 2484, 269, 1879, 649, 5950, 519, 8924, 267, 649, 12479, 602, 938, 11791, 5698, 609, 9786, 1131, 3136, 267, 855, 941, 18516, 607, 547, 875, 621, 1131, 1020, 543, 11200, 269, 18421, 31963, 593, 519, 5955, 540, 519, 3755, 1310, 782, 269, 634, 759, 15929, 1967, 540, 519, 8924, 568, 5393, 11815, 4328, 267, 711, 2547, 1317, 621, 814, 9141, 721, 547, 909, 519, 24970, 2943, 2417, 676, 5356, 606, 5688, 2213, 4528, 540, 519, 8924, 585, 519, 8837, 476, 279, 25439, 269, 1284, 6566, 328, 11726, 1042, 891, 8924, 267, 2864, 14013, 267, 1282, 519, 17758, 16008, 693, 519, 9919, 289, 3951, 593, 4728, 476, 276, 628, 563, 2419, 766, 27891, 8585, 30448, 786, 8969, 1652, 581, 30590, 602, 1352, 666, 3136, 4974, 14470, 593, 1200, 8837, 476, 279, 25439, 538, 519, 2104, 563, 763, 8837, 25439, 476, 279, 29393, 616, 2139, 538, 519, 8837, 25439, 15188, 585, 22221, 9040, 10964, 4654, 563, 2080, 616, 513, 1906, 24221, 540, 519, 8924, 912, 289, 629, 10964, 16628, 543, 1071, 1922, 10133, 4460, 639, 31864, 974, 568, 4758, 930, 4030, 883, 519, 18144, 538, 16565, 7591, 306, 599, 269, 5853, 539, 676, 24138, 2725, 514, 10045, 538, 476, 1220, 279, 7591, 306, 599, 568, 2048, 320, 1893, 1565, 1995, 8730, 5356, 513, 2189, 267, 5075, 776, 543, 1187, 1259, 547, 1451, 5053, 543, 2296, 269, 634, 476, 1001, 272, 15306, 24979, 4875, 2598, 4533, 3803, 626, 7591, 306, 599, 5549, 1421, 799, 814, 922, 22071, 538, 5842, 12770, 267, 814, 2938, 922, 813, 19486, 1948, 272, 538, 519, 2069, 7121, 540, 519, 1775, 307, 17480, 4558, 538, 4557, 2477, 267, 1519, 519, 7330, 563, 2171, 2907, 4718, 1896, 1390, 3377, 538, 519, 1101, 1906, 3275, 540, 476, 1001, 274, 281, 9040, 10964, 8924, 585, 1007, 5867, 267, 4947, 2059, 609, 1271, 17758, 543, 1256, 513, 6881, 540, 938, 14470, 6863, 26519, 547, 4436, 4960, 27891, 4911, 11253, 8585, 30448, 543, 12996, 779, 6305, 14012, 18496, 570, 23677, 563, 3086, 649, 2461, 2921, 513, 1900, 547, 2333, 938, 4527, 538, 519, 2136, 2276, 676, 16565, 519, 519, 1893, 1565, 6109, 7591, 306, 599, 269, 589, 1360, 8966, 1900, 2443, 1034, 5842, 12770, 1376, 13522, 616, 711, 11751, 676, 513, 4436, 1376, 5346, 563, 1103, 938, 2013, 267, 649, 1745, 602, 9256, 7591, 306, 599, 543, 9040, 10964, 2306, 513, 2603, 540, 2631, 269, 1284, 4076, 14478, 519, 1967, 540, 7591, 306, 599, 2094, 649, 4718, 741, 12334, 693, 15306, 24979, 4875, 2598, 4533, 538, 5842, 12770, 1394, 538, 476, 1001, 272, 269, 4595, 1287, 267, 7591, 306, 599, 729, 5018, 676, 930, 2101, 14786, 971, 607, 634, 1715, 3840, 8648, 267, 634, 9931, 9335, 4750, 267, 634, 6115, 5403, 543, 1866, 543, 1185, 922, 813, 607, 513, 1948, 272, 538, 519, 2069, 7121, 540, 519, 2475, 2561, 4558, 543, 476, 1015, 824, 2477, 563, 763, 1699, 7591, 306, 599, 813, 786, 581, 4797, 585, 519, 942, 1373, 269, 2353, 3755, 616, 14376, 547, 6443, 9040, 10964, 607, 1134, 547, 9192, 1312, 1565, 2833, 269, 634, 1587, 6887, 616, 538, 5717, 540, 3246, 606, 7471, 1587, 563, 763, 11601, 540, 7591, 306, 599, 568, 6679, 513, 1297, 540, 3255, 538, 519, 2475, 2344, 267, 2523, 2094, 649, 723, 24138, 2725, 514, 10045, 267, 519, 7591, 306, 599, 16628, 267, 676, 938, 2427, 607, 606, 25129, 543, 1139, 7163, 269, 9040, 10964, 779, 11632, 302, 7338, 670, 3326, 543, 594, 786, 581, 538, 5842, 12770, 609, 24138, 538, 2038, 4989, 547, 2482, 519, 13210, 540, 938, 4527, 538, 4993, 563, 3412, 21411, 1729, 828, 476, 1001, 273, 11058, 1084, 530, 597, 1714, 325, 9040, 10964, 5025, 653, 338, 24166, 8837, 476, 279, 7305, 339, 3768, 7193, 2357, 7238, 742, 550, 28727, 339, 267, 5884, 694, 2416, 803, 15590, 620, 338, 476, 29496, 269, 1822, 5689, 3888, 328, 1068, 530, 6324, 523, 269, 12456, 1023, 554, 4752, 1084, 530, 597, 14193, 325, 552, 710, 674, 2176, 28856, 2426, 3541, 606, 2102, 12317, 5443, 2098, 639, 2459, 523, 541, 18464, 5378, 9786, 267, 530, 639, 22978, 32623, 1100, 577, 562 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16378, 494, 12988, 547, 14905, 27375, 6651, 3776, 3102, 3391, 593, 14905, 3898, 454, 1692, 547, 13129, 513, 4750, 9137, 538, 14905, 454, 289, 756, 9288, 666, 1711, 4750, 13022, 725, 538, 14905, 8850, 2336, 8196, 519, 1739, 10959, 547, 13712, 513, 4760, 2376, 1210, 519, 14905, 11239, 3898, 269, 1284, 849, 1683, 2511, 10274, 585, 519, 17090, 2073, 9628, 2073, 543, 570, 12350, 1014, 6163, 269, 1677, 723, 707, 15853, 610, 1568, 11855, 1592, 8850, 1500, 585, 596, 267, 2638, 856, 938, 1863, 14905, 11239, 20536, 4586, 5629, 596, 2461, 8737, 609, 707, 14327, 267, 649, 666, 849, 948, 596, 609, 2870, 606, 14905, 2140, 2985, 4586, 290, 1746, 513, 4760, 2376, 538, 1820, 454, 4338, 288, 3898, 2497, 912, 12041, 267, 589, 269, 630, 26397, 5729, 1040, 9137, 2140, 269, 11270, 673, 7170, 267, 11730, 263, 296, 1087, 826, 1070, 6032, 11607, 653, 563, 4338, 288, 3898, 1383, 912, 301, 5271, 514, 267, 589, 269, 630, 1960, 271, 1040, 634, 4657, 540, 4116, 2069, 2027, 2069, 269, 11819, 4065, 543, 7981, 4065, 281, 634, 4750, 540, 519, 11819, 4065, 10406, 540, 519, 7027, 585, 31453, 1308, 5753, 267, 476, 1724, 263, 274, 268, 275, 1070, 476, 15704, 268, 16825, 563, 290, 1746, 513, 4760, 2376, 1336, 2228, 454, 4338, 288, 3898, 2497, 912, 12041, 267, 589, 269, 630, 26397, 5729, 1040, 9137, 2140, 269, 11270, 673, 7170, 267, 11730, 263, 296, 1087, 826, 1070, 6032, 11607, 653, 269, 20396, 281, 18958, 269, 18958, 18958, 311, 610, 8158, 689, 4760, 15745, 454, 4338, 288, 3898, 1383, 912, 22832, 517, 267, 808, 269, 630, 1001, 274, 1040, 661, 6441, 1737, 11429, 538, 2362, 2069, 281, 634, 11359, 968, 720, 892, 540, 3872, 2029, 1382, 269, 3703, 4750, 540, 12409, 5303, 267, 476, 4510, 263, 277, 1070, 476, 6434, 280, 268, 280, 1428, 269, 20396, 281, 476, 1015, 269, 9340, 272, 11486, 27826, 269, 13199, 6734, 454, 24687, 281, 1879, 2870, 707, 2228, 4760, 2376, 11239, 267, 1832, 538, 2247, 912, 268, 14905, 1281, 10691, 2154, 596, 547, 1331, 519, 4266, 540, 1569, 270, 4958, 4471, 1998, 4266, 610, 6538, 1344, 585, 5907, 2959, 563, 268, 1411, 666, 946, 519, 15745, 540, 519, 4760, 1753, 2457, 952, 972, 568, 1100, 20396, 8655, 543, 519, 4704, 729, 27366, 2228, 563, 268, 7151, 281, 8158, 689, 5291, 2517, 517, 4802, 601, 3869, 9884, 13704, 2593, 10768, 16067, 270, 1015, 269, 9340, 272, 14370, 3041, 17928, 264, 16409, 278, 268, 5952, 274, 276, 282, 329, 338, 11970, 573, 284, 4817, 277, 15171, 293, 274, 14701, 10602, 7417, 289, 6344, 276, 6507, 292, 4200, 7417, 10619, 4753, 280, 290, 8807, 6860, 339, 4905, 454, 268, 589, 20396, 630, 21745, 1388, 1843, 32165, 264, 568, 606, 8655, 1297, 602, 2337, 3095, 1543, 547, 922, 4087, 593, 519, 5769, 269, 898, 568, 4061, 1271, 267, 952, 835, 568, 3177, 267, 547, 946, 621, 950, 2870, 513, 11239, 269, 2353, 20396, 2338, 2253, 609, 513, 476, 1015, 543, 616, 9674, 676, 513, 1793, 1662, 563, 2690, 811, 1344, 593, 875, 547, 13712, 538, 14905, 267, 2638, 856, 26658, 4586, 16378, 494, 12988, 547, 14905, 27375, 6651, 454, 20597, 760, 547, 1292, 1543, 454, 268, 670, 9404, 1409, 16808, 2657, 7070, 7732, 454, 268, 3194, 20929, 454, 268, 14905, 27375, 13910, 267, 476, 277, 628, 7160, 454, 4338, 288, 27375, 13910, 267, 476, 277, 628, 7160, 281, 14905, 454, 1692, 798, 594, 13712, 606, 2376, 594, 1336, 1210, 606, 21236, 813, 888, 2005, 568, 13061, 2436, 596, 1224, 621, 593, 707, 21236, 267, 7379, 611, 267, 15692, 267, 4563, 9440, 267, 26914, 267, 15291, 610, 538, 519, 5399, 269, 12861, 8100, 568, 711, 827, 25643, 968, 6011, 892, 596, 4092, 519, 1344, 855, 3246, 519, 5467, 513, 1463, 2619, 547, 519, 968, 13092, 892, 2707, 540, 519, 1570, 563, 8855, 1107, 519, 968, 328, 17490, 813, 892, 568, 711, 519, 2707, 540, 519, 2376, 1107, 519, 968, 329, 16067, 892, 568, 707, 2707, 269, 25737, 621, 607, 596, 1131, 1022, 4760, 2376, 563, 4338, 288, 779, 24722, 8249, 454, 268, 14905, 1107, 589, 13159, 12754, 585, 5675, 543, 14539, 538, 519, 4317, 543, 19884, 7070, 763, 4013, 2228, 14905, 8313, 563, 268, 14905, 5850, 454, 268, 14905, 3896, 454, 268, 7913, 8629, 5772, 8595, 630, 23077, 296, 264, 3896, 454, 268, 24722, 14905, 5816, 17809, 1938, 27792, 543, 28303, 1644, 547, 1344, 538, 519, 14905, 8261, 563, 268, 12726, 14905, 7433, 5804, 519, 4013, 14905, 3896, 563, 19445, 8629, 5772, 8595, 630, 23077, 296, 264, 630, 653, 269, 476, 6642, 268, 4572, 994, 1432, 568, 513, 20396, 286, 589, 20396, 630, 21745, 1388, 1843, 32165, 264, 568, 513, 2189, 21229, 534, 10179, 545, 5569, 8655, 676, 513, 14261, 8116, 630, 1492, 4139, 20396, 7690, 264, 547, 2697, 1543, 543, 1683, 513, 10770, 3095, 547, 922, 4087, 593, 519, 4950, 563, 27237, 292, 281, 898, 568, 9833, 607, 519, 1034, 1271, 851, 540, 519, 11239, 1317, 621, 786, 8308, 1463, 3755, 547, 519, 1808, 2376, 563, 13914, 540, 621, 607, 513, 834, 21745, 1388, 31937, 257, 610, 606, 2376, 779, 5027, 2336, 293, 312, 296, 1107, 21213, 3652, 593, 1210, 20396, 630, 18550, 476, 1001, 278, 2187, 268, 8158, 689, 5291, 2517, 8742, 281, 1015, 269, 14093, 277, 270, 15704, 272, 268, 25248, 279, 268, 1321, 268, 14625, 454, 263, 6781, 913, 1344, 689, 634, 14905, 5816, 593, 20396, 1547, 901, 568, 14905, 779, 4013, 5816, 543, 741, 5234, 2488, 5140, 1806, 593, 14905, 11249, 11305, 14591, 8094, 268, 17676, 20396, 6733, 5346, 630, 15899, 7304, 1030, 994, 268, 20396, 3590, 281, 14174, 304, 454, 268, 18391, 909, 513, 20396, 454, 268, 1215, 547, 4855, 513, 20396, 30022, 5850, 3381, 2322, 1927, 676, 14905, 563, 268, 20396, 10046, 24577, 454, 13563, 16723, 5948, 630, 4338, 288, 264, 2511, 568, 4122, 1031, 585, 19696, 8100, 538, 2875, 4574, 538, 2257, 267, 2564, 267, 1857, 1072, 267, 1072, 9443, 543, 8808, 607, 1134, 607, 519, 1514, 2257, 563, 763, 3483, 540, 12319, 568, 547, 912, 268, 10576, 630, 322, 924, 264, 824, 1004, 779, 2093, 543, 1344, 1031, 1369, 707, 1557, 610, 2165, 1957, 563, 268, 1473, 6510, 519, 4589, 610, 2959, 540, 891, 538, 513, 22108, 1592, 693, 519, 1439, 540, 707, 1957, 563, 1607, 3391, 568, 1759, 593, 519, 14905, 15015, 630, 277, 628, 1196, 4700, 602, 729, 3370, 538, 476, 1220, 280, 563, 763, 1739, 6810, 1683, 596, 609, 1344, 543, 1806, 602, 786, 948, 596, 547, 13712, 519, 2959, 602, 596, 2097, 2066, 1282, 707, 1382, 563, 14197, 13910, 13832, 454, 2690, 811, 1806, 543, 1344, 267, 5077, 519, 1739, 12326, 912, 4338, 288, 15015, 630, 277, 628, 1196, 8094, 21270, 293, 10602, 269, 278, 1547, 303, 10695, 476, 1001, 271, 1475, 14611, 13129, 14635, 476, 272, 560, 4469, 3233, 2008, 1432, 568, 4676, 17582, 888, 1432, 568, 4676, 17582, 286, 4676, 17582, 568, 606, 2228, 1382, 2359, 2676, 8586, 543, 5698, 1907, 269, 898, 568, 2966, 547, 948, 3173, 454, 29342, 1176, 5531, 267, 4383, 267, 4558, 543, 2671, 782, 2010, 540, 1344, 267, 607, 454, 6202, 607, 5352, 14327, 543, 12190, 13132, 563, 3963, 1058, 596, 946, 4676, 17582, 888, 268, 2290, 968, 28781, 892, 543, 596, 666, 5352, 12190, 13132, 538, 1022, 11239, 2511, 3898, 269, 630, 4338, 288, 267, 589, 7246, 267, 17090, 543, 811, 26695, 268, 14190, 338, 596, 547, 1711, 1299, 10891, 707, 1378, 2123, 454, 323, 520, 15390, 540, 8100, 563, 268, 7383, 707, 8100, 2047, 689, 454, 323, 520, 629, 1162, 267, 13746, 610, 519, 5399, 17048, 543, 2057, 4757, 532, 610, 519, 454, 928, 539, 547, 4688, 547, 513, 18292, 8755, 20142, 633, 563, 268, 24439, 5698, 4443, 1282, 1895, 3785, 3850, 596, 547, 2671, 707, 4676, 17582, 17835, 540, 8100, 563, 6124, 20305, 281, 15775, 29035, 2336, 268, 3619, 547, 670, 9404, 1409, 16808, 7732, 779, 5851, 2457, 454, 268, 7201, 32439, 8437, 4676, 17582, 454, 268, 8564, 968, 14294, 909, 585, 606, 10572, 10055, 892, 543, 2347, 519, 1007, 3593, 1344, 1106, 563, 268, 1411, 786, 4309, 606, 4757, 689, 4676, 17582, 30260, 707, 21189, 27024, 543, 10957, 454, 9616, 281, 1411, 786, 991, 519, 6828, 8943, 585, 28047, 9331, 290, 547, 1569, 4676, 17582, 1055, 2275, 25283, 563, 15996, 271, 16685, 9335, 267, 32065, 454, 29910, 267, 9823, 476, 1220, 4391, 454, 268, 670, 9404, 1409, 16808, 10361, 6050, 5240, 12072, 454, 268, 670, 9404, 1409, 16808, 7732, 281, 18248, 454, 268, 670, 9404, 1409, 16808, 7732, 281, 9365, 454, 268, 670, 9404, 1409, 16808, 17749, 327, 9404, 1409, 16808, 294, 310, 454, 268, 670, 9404, 1409, 16808, 281, 12108, 287, 327, 9404, 1409, 16808, 294, 310, 2443, 1948, 327, 9404, 1409, 16808, 454, 268, 8921, 281, 4937, 13910, 13832, 3436, 11417, 268, 7831, 21213, 281, 2904, 476, 3066, 267, 476, 1001, 279, 476, 280, 281, 2641, 7537, 454, 268, 15745, 281, 4179, 2517, 12221, 7666, 1938, 3052, 342, 636, 322, 12975, 270, 4338, 288, 454, 268, 7179, 8525, 454, 295, 9404, 1409, 16808, 2657, 7070, 7732, 454, 15996, 271, 16685, 853, 1421, 32065, 267, 6115, 267, 9823, 476, 1220, 4391, 454, 17490, 281, 630, 1708, 264, 476, 4200, 275, 268, 26326, 271, 454, 10674, 2517, 327, 9404, 1409, 16808, 3052, 342, 340, 12975, 1923, 16065, 8298, 514, 454, 268, 28047, 19478, 454, 268, 2657, 27084, 7711, 670, 9404, 1409, 16808, 454, 268, 7732, 18280, 690, 454, 268, 28047, 2657, 3194, 454, 268, 3194, 20929, 454, 268, 4033, 23905, 454, 268, 9105, 513, 20157, 4115, 454, 268, 5530, 18740, 1763, 969, 725, 454, 268, 645, 6563, 10049, 454, 268, 645, 6563, 689, 824, 8021, 630, 21135, 994, 268, 5510, 28941, 7457, 454, 268, 23675, 267, 11010, 1562, 267, 10515, 4536, 454, 268, 3733, 7732, 10055, 454, 268, 16065, 30615, 454, 268, 4972, 700, 807, 11143, 454, 268, 7732, 24727, 454, 268, 16763, 19662, 454, 347, 19061, 14313, 1475, 19061, 6651, 1475, 16485, 1323, 16869, 1475, 7922, 690, 1475, 16631, 5516, 619, 1475, 27645, 1475, 29261, 1475, 10743, 2008, 16240, 513, 31639, 281, 14905, 14474, 454, 19350, 616, 3044, 12043, 543, 1806, 585, 2596, 12190, 4919, 1344, 5227, 676, 519, 1977, 16723, 5948, 630, 4338, 288, 1040, 1280, 811, 1344, 593, 519, 14905, 3898, 267, 1294, 5291, 2517, 4178, 269, 777, 770, 1803, 3820, 4586, 7312, 1592, 540, 1568, 11855, 1058, 2253, 693, 519, 1439, 540, 519, 1957, 593, 513, 1007, 2985, 609, 519, 10704, 2140, 267, 22108, 269, 22843, 1125, 519, 13366, 538, 707, 1592, 676, 519, 2278, 779, 2063, 2012, 267, 1210, 519, 4484, 8386, 268, 12072, 1062, 630, 793, 648, 5624, 543, 824, 18685, 4700, 8307, 519, 3355, 338, 540, 519, 1101, 543, 1647, 4408, 616, 2016, 269, 1403, 519, 2278, 779, 2012, 568, 7164, 267, 9904, 1125, 676, 519, 2140, 267, 24937, 1022, 589, 267, 1323, 267, 610, 634, 563, 2690, 7389, 267, 11963, 856, 519, 4408, 540, 3275, 538, 519, 1257, 540, 707, 1957, 267, 855, 14841, 5573, 873, 538, 519, 1592, 540, 1568, 11855, 267, 4849, 585, 2904, 267, 4873, 267, 543, 5147, 269, 2422, 2901, 519, 1554, 18881, 4458, 2511, 630, 2420, 5147, 476, 1960, 280, 264, 610, 519, 3923, 6377, 4458, 2511, 630, 20809, 476, 2420, 267, 476, 1960, 280, 264, 543, 581, 5812, 269, 2060, 519, 3923, 6377, 4458, 2511, 267, 581, 2386, 547, 1039, 513, 26893, 1310, 519, 1032, 8259, 1776, 18685, 1665, 4422, 972, 563, 15152, 23164, 610, 32228, 923, 888, 2691, 5359, 941, 2854, 593, 1826, 32392, 267, 519, 4408, 540, 12326, 941, 896, 20040, 1317, 1034, 1826, 32392, 1185, 1100, 1259, 547, 1820, 24495, 923, 269, 1403, 596, 2328, 513, 15853, 676, 1688, 267, 596, 1058, 1869, 896, 1467, 519, 4408, 540, 12326, 269, 1809, 267, 952, 596, 946, 513, 2780, 267, 1287, 8313, 4408, 1058, 581, 538, 24495, 923, 607, 789, 616, 2630, 269, 11408, 2638, 609, 707, 14357, 3823, 741, 13283, 540, 1210, 24495, 923, 610, 896, 23164, 269, 3776, 1806, 946, 24495, 923, 563, 5472, 14905, 14327, 1058, 946, 16304, 967, 757, 267, 602, 568, 267, 519, 1101, 1899, 540, 606, 7127, 1058, 581, 23574, 2451, 267, 543, 519, 2034, 543, 7766, 3515, 1058, 581, 967, 5034, 476, 272, 270, 273, 16357, 563, 22479, 1388, 1436, 267, 2806, 12934, 2747, 267, 543, 623, 9417, 6672, 454, 763, 14905, 4808, 14574, 1210, 4845, 16654, 3854, 1436, 585, 519, 10643, 540, 2835, 610, 4930, 267, 865, 596, 1058, 31194, 1152 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 275, 3418, 825, 2985, 815, 5727, 1477, 1038, 2999, 327, 272, 285, 3849, 1288, 9572, 327, 272, 285, 1477, 1038, 2999, 335, 285, 763, 2040, 540, 7396, 2338, 2999, 321, 285, 24001, 9572, 321, 285, 568, 281, 2999, 321, 285, 24001, 9572, 321, 20565, 335, 285, 1477, 1038, 2999, 320, 27430, 6889, 270, 22969, 12988, 547, 9623, 2985, 9572, 320, 285, 1477, 1038, 2999, 335, 12481, 321, 285, 27237, 292, 281, 9572, 321, 285, 2999, 328, 285, 11666, 826, 10024, 2338, 547, 11422, 21506, 1038, 1899, 547, 1039, 547, 1699, 2040, 282, 19838, 1315, 5417, 270, 274, 270, 276, 270, 278, 9847, 476, 1428, 21742, 328, 20565, 321, 285, 1477, 825, 5727, 1477, 825, 2132, 2985, 269, 8971, 17338, 9852, 777, 263, 15615, 267, 26571, 24270, 14805, 566, 3418, 258, 476, 14343, 9339, 5897, 258, 570, 7495, 302, 281, 5410, 3252, 585, 7829, 811, 12980, 4238, 23228, 3698, 10208, 28949, 16911, 8029, 825, 5727, 16849, 513, 31031, 5058, 609, 519, 3017, 540, 519, 7440, 5727, 1477, 825, 1948, 570, 7495, 302, 281, 19130, 2040, 609, 519, 2953, 1871, 267, 1759, 593, 519, 1477, 825, 1948, 26571, 3177, 269, 5897, 825, 3017, 815, 5180, 263, 641, 16553, 28949, 14090, 263, 15615, 267, 26571, 24270, 476, 275, 3418, 825, 2985, 815, 5727, 1477, 1038, 2999, 327, 272, 285, 8138, 339, 3555, 9572, 327, 272, 285, 1477, 1038, 2999, 335, 285, 763, 3017, 540, 2999, 321, 285, 24001, 9572, 321, 285, 543, 2999, 321, 285, 24001, 9572, 321, 285, 568, 281, 2999, 321, 285, 24001, 9572, 321, 20565, 335, 285, 1477, 1038, 2999, 320, 27430, 6889, 270, 22969, 12988, 547, 9623, 2985, 9572, 320, 285, 1477, 1038, 2999, 335, 12481, 321, 285, 27237, 292, 281, 9572, 321, 285, 2999, 328, 285, 21671, 1101, 1079, 2338, 538, 11422, 262, 324, 1899, 786, 1477, 1038, 581, 10208, 539, 282, 19838, 1315, 11357, 560, 716, 270, 2537, 270, 5655, 9847, 910, 866, 267, 21506, 1038, 10024, 811, 2338, 786, 5352, 606, 5470, 9572, 328, 20565, 321, 285, 1477, 825, 5727, 1477, 825, 2132, 2985, 269, 8971, 28949, 14090, 263, 15615, 267, 26571, 1070, 3017, 3418, 258, 476, 14343, 9339, 5897, 3698, 9062, 28949, 16911, 8029, 825, 5727, 16849, 513, 31031, 5058, 609, 519, 1587, 540, 519, 7440, 5727, 1477, 825, 1948, 570, 7495, 302, 281, 19130, 2040, 609, 519, 2953, 1871, 267, 1759, 593, 519, 1477, 825, 1948, 26571, 3177, 269, 5897, 825, 1587, 815, 5180, 263, 516, 706, 576, 9230, 14433, 1535, 267, 586, 281, 10581, 3287, 264, 2608, 10581, 12169, 24270, 26571, 1070, 476, 275, 3418, 825, 2985, 815, 5727, 1477, 1038, 2999, 327, 272, 285, 25648, 6473, 9572, 327, 272, 285, 1477, 1038, 2999, 335, 285, 763, 1587, 540, 2338, 2999, 321, 285, 24001, 9572, 321, 285, 568, 281, 2999, 321, 285, 24001, 9572, 321, 20565, 335, 285, 1477, 1038, 2999, 320, 27430, 6889, 270, 22969, 12988, 547, 9623, 2985, 9572, 320, 285, 1477, 1038, 2999, 335, 12481, 321, 285, 27237, 292, 281, 9572, 321, 285, 2999, 328, 285, 11666, 826, 10024, 2338, 547, 11422, 21506, 1038, 1899, 547, 9062, 547, 1699, 1587, 282, 21506, 1038, 19838, 1315, 20123, 17586, 270, 274, 270, 276, 270, 278, 9847, 476, 10755, 21742, 328, 20565, 321, 285, 1477, 825, 5727, 1477, 825, 2132, 2985, 269, 8971, 17338, 9852, 777, 263, 15615, 267, 26571, 24270, 1587, 3418, 258, 476, 14343, 9339, 5897, 3698, 7941, 28949, 16911, 8029, 825, 5727, 16849, 513, 31031, 5058, 609, 519, 6498, 540, 519, 7440, 5727, 1477, 825, 1948, 570, 7495, 302, 281, 19130, 2040, 609, 519, 2953, 1871, 267, 1759, 593, 519, 1477, 825, 1948, 26571, 3177, 269, 5897, 825, 952, 10581, 263, 16911, 314, 272, 8079, 11203, 476, 271, 269, 6769, 1038, 6824, 815, 5180, 263, 641, 6745, 29471, 643, 28949, 14090, 263, 15615, 267, 26571, 24270, 476, 275, 3418, 825, 3116, 6769, 1038, 6318, 20023, 19667, 1707, 13286, 1477, 825, 2985, 815, 5727, 1477, 1038, 2999, 327, 272, 285, 19667, 1707, 9572, 327, 272, 285, 1477, 1038, 2999, 335, 285, 763, 6824, 540, 2999, 321, 285, 24001, 9572, 321, 285, 543, 2999, 321, 285, 24001, 9572, 321, 285, 568, 281, 2999, 321, 285, 24001, 9572, 321, 20565, 335, 285, 1477, 1038, 2999, 320, 27430, 6889, 270, 22969, 12988, 547, 9623, 2985, 9572, 320, 285, 1477, 1038, 2999, 335, 12481, 321, 285, 27237, 292, 281, 9572, 321, 285, 2999, 328, 285, 21671, 1101, 1079, 2338, 538, 11422, 262, 324, 1899, 786, 1477, 1038, 581, 5258, 282, 19838, 1315, 15965, 728, 270, 2420, 270, 1556, 9847, 476, 272, 267, 21506, 1038, 10024, 811, 2338, 786, 5352, 606, 5470, 9572, 328, 20565, 321, 285, 1477, 825, 5727, 1477, 825, 2132, 2985, 269, 8971, 28949, 14090, 263, 15615, 267, 26571, 1070, 6824, 3418, 258, 476, 14343, 9339, 5897, 3698, 8207, 24786, 9638, 987, 8029, 825, 5727, 1477, 825, 9701, 2132, 1079, 2418, 281, 513, 1289, 762, 543, 606, 12055, 762, 540, 1477, 825, 7440, 23228, 825, 5727, 1477, 825, 1948, 570, 7495, 302, 281, 3629, 2953, 2418, 585, 30775, 543, 26571, 269, 634, 1477, 825, 1948, 1806, 1683, 519, 2953, 2608, 1910, 660, 1314, 24682, 855, 596, 1058, 1477, 825, 1948, 3313, 519, 4890, 2418, 540, 30775, 543, 26571, 1210, 519, 1477, 825, 1948, 2619, 23228, 825, 1948, 30775, 815, 1039, 1477, 825, 1948, 26571, 815, 18358, 1839, 3299, 1412, 3953, 11172, 5897, 825, 2619, 815, 2619, 14714, 8692, 2891, 270, 20257, 20889, 2891, 270, 257, 10142, 825, 30775, 12173, 815, 2619, 314, 271, 15947, 825, 26571, 815, 2619, 314, 272, 281, 316, 5897, 825, 1187, 14369, 815, 2715, 1477, 1038, 834, 9899, 9623, 267, 1477, 1038, 834, 5417, 9899, 1039, 267, 1477, 1038, 834, 11357, 339, 847, 9899, 10208, 267, 1477, 1038, 834, 20123, 17586, 9899, 9062, 267, 1477, 1038, 834, 15965, 728, 9899, 7941, 1477, 1038, 7684, 5897, 825, 2119, 6769, 1038, 30775, 815, 1187, 14369, 314, 325, 15635, 12173, 15947, 825, 4849, 6206, 13286, 6769, 1038, 6318, 8745, 13286, 1477, 825, 2132, 30775, 267, 26571, 1477, 258, 476, 14343, 9339, 5897, 3698, 3498, 263, 523, 1333, 267, 1376, 318, 24978, 8029, 825, 5727, 813, 5727, 1477, 825, 1948, 570, 7495, 302, 281, 2659, 3498, 3009, 689, 519, 1433, 6538, 1477, 825, 1948, 960, 1934, 607, 1134, 256, 5457, 602, 707, 3498, 1590, 1477, 825, 1948, 1045, 5803, 1376, 318, 24978, 263, 560, 9850, 267, 2212, 619, 264, 543, 849, 2132, 1477, 825, 1948, 519, 1560, 540, 519, 3210, 538, 15760, 15288, 17683, 23228, 825, 1948, 1477, 825, 1948, 570, 7495, 302, 630, 2548, 639, 2567, 5410, 5470, 7829, 585, 513, 3593, 12394, 1477, 825, 1948, 547, 7941, 676, 4642, 269, 5897, 825, 2212, 619, 815, 1496, 3488, 32098, 15178, 3299, 1412, 3667, 270, 6255, 6447, 10807, 15947, 825, 2119, 6769, 1038, 2619, 815, 679, 1333, 10947, 3488, 303, 26059, 318, 2562, 23859, 3299, 7183, 3418, 1038, 952, 2619, 568, 7183, 6769, 2018, 6318, 8745, 13286, 1477, 1038, 30775, 267, 26571, 815, 8207, 24786, 9638, 987, 3418, 1038, 1560, 815, 30775, 28949, 16911, 3418, 1038, 4567, 815, 834, 1220, 15528, 29177, 825, 4849, 8745, 13286, 6769, 1038, 4567, 815, 834, 29024, 3502, 5853, 29177, 1038, 1560, 815, 5727, 29177, 2018, 2999, 327, 272, 285, 8253, 5853, 9572, 327, 272, 285, 1477, 2018, 2999, 320, 27430, 6889, 270, 22969, 12988, 547, 9623, 2985, 9572, 320, 285, 1477, 2018, 5727, 1477, 825, 4849, 20023, 19667, 1707, 13286, 6769, 1038, 4567, 815, 834, 6110, 14068, 32369, 29177, 1038, 1560, 815, 5727, 1477, 2018, 2999, 327, 272, 285, 308, 10811, 4624, 10406, 676, 20023, 9572, 327, 272, 285, 1477, 2018, 2999, 320, 27430, 6889, 270, 22969, 12988, 547, 9623, 2985, 9572, 320, 285, 1477, 1038, 5727, 1477, 825, 4849, 1401, 4003, 6769, 1038, 4567, 815, 834, 4335, 18378, 18218, 18438, 29177, 1038, 1560, 815, 5727, 1477, 2018, 2999, 327, 272, 285, 18378, 18218, 18438, 9572, 327, 272, 285, 1477, 2018, 2999, 320, 27430, 6889, 270, 22969, 12988, 547, 9623, 2985, 9572, 320, 285, 1477, 1038, 5727, 1477, 1038, 1820, 6025, 15869, 3724, 269, 8971, 318, 1410, 322, 3890, 3418, 825, 6368, 6769, 1038, 2212, 619, 6910, 263, 3488, 32098, 27480, 3299, 1193, 12759, 6357, 1328, 4297, 17903, 1038, 1376, 318, 24978, 263, 560, 9850, 267, 2212, 619, 3418, 825, 2132, 1496, 7853, 269, 523, 13892, 3488, 583, 325, 268, 279, 10807, 15947, 258, 815, 25275, 7529, 4499, 24653, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1948, 570, 7495, 302, 281, 23453, 519, 1482, 15245, 30066, 530, 338, 326, 790, 325, 2241, 1477, 825, 1948, 7746, 5137, 602, 596, 1031, 538, 519, 1433, 6538, 23228, 825, 689, 530, 338, 326, 790, 325, 4732, 574, 921, 5334, 13996, 1104, 1118, 5334, 13996, 1477, 825, 22804, 309, 815, 1118, 5334, 13996, 3488, 29985, 10676, 3299, 476, 3199, 279, 271, 267, 3498, 3418, 825, 22804, 309, 4732, 2925, 318, 1150, 591, 14052, 672 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3294, 2336, 763, 1101, 3781, 267, 11197, 2657, 5265, 9676, 875, 1454, 942, 594, 8910, 11739, 696, 267, 543, 519, 1239, 519, 4585, 27424, 1107, 1519, 16889, 2295, 2557, 1107, 729, 5265, 11911, 538, 922, 4143, 7121, 269, 1809, 594, 14406, 519, 10015, 730, 2070, 602, 5795, 606, 2949, 1867, 827, 519, 3207, 1107, 594, 1185, 547, 6968, 1472, 538, 519, 11197, 2657, 813, 547, 1265, 519, 1239, 602, 20974, 1229, 563, 296, 4718, 513, 4704, 547, 16790, 28036, 18121, 275, 269, 4200, 264, 538, 606, 2376, 827, 3207, 9477, 593, 25515, 282, 1310, 16459, 621, 267, 594, 729, 5612, 4843, 609, 519, 10015, 730, 2070, 594, 8910, 1044, 3168, 585, 538, 11197, 2657, 912, 6546, 779, 689, 2063, 3781, 779, 3207, 282, 538, 1840, 547, 10015, 908, 1883, 14573, 630, 5503, 18069, 267, 3207, 3942, 267, 19344, 2557, 267, 16889, 2295, 2557, 1070, 621, 3096, 519, 5432, 14034, 30892, 15007, 630, 4011, 992, 539, 689, 11197, 2657, 264, 547, 2285, 513, 3308, 25135, 14653, 540, 519, 1991, 3781, 779, 3207, 269, 630, 2690, 1346, 11842, 281, 9811, 267, 594, 1185, 1079, 15483, 339, 5661, 2063, 3781, 269, 19227, 594, 1131, 2503, 1250, 16889, 2295, 2557, 547, 581, 538, 519, 1970, 268, 547, 4571, 268, 2004, 338, 269, 1358, 941, 17705, 267, 855, 2507, 522, 1993, 8094, 3080, 1239, 1448, 7357, 1007, 547, 803, 267, 799, 594, 1589, 594, 6557, 2469, 547, 2648, 281, 968, 338, 2748, 4871, 1848, 594, 18423, 909, 3735, 2063, 3781, 8384, 513, 1397, 609, 1250, 7385, 543, 8250, 267, 543, 4769, 1406, 979, 547, 5127, 2394, 1175, 1310, 28813, 269, 1306, 513, 1267, 267, 594, 3893, 1447, 982, 1250, 3077, 476, 278, 269, 276, 3108, 540, 3207, 1107, 6028, 803, 538, 968, 338, 2748, 7963, 6100, 18641, 267, 519, 3781, 1354, 267, 594, 3893, 513, 3787, 811, 982, 476, 278, 269, 276, 3108, 1107, 855, 2066, 519, 1079, 17334, 267, 16790, 28036, 7229, 602, 594, 2611, 538, 7963, 267, 799, 594, 1058, 581, 13533, 540, 9522, 697, 1315, 14182, 3781, 1315, 3092, 269, 547, 2119, 543, 6952, 909, 269, 594, 2648, 519, 2856, 540, 3168, 936, 513, 3476, 942, 16880, 982, 1175, 835, 1554, 547, 2119, 543, 3310, 875, 594, 1589, 827, 519, 1554, 4433, 264, 6619, 267, 8957, 3274, 3168, 1394, 693, 1018, 5949, 2063, 3781, 563, 4517, 602, 267, 594, 1589, 267, 568, 1141, 594, 1589, 11197, 13772, 1315, 16790, 28036, 9477, 568, 2469, 547, 2097, 856, 6619, 540, 519, 744, 3120, 8258, 585, 803, 269, 23996, 2773, 11735, 267, 519, 744, 3120, 8258, 729, 538, 1250, 1995, 1360, 1434, 827, 8989, 593, 2250, 1239, 267, 855, 1447, 2500, 693, 1008, 3183, 1808, 2242, 547, 1250, 2623, 2469, 4464, 269, 898, 729, 14222, 693, 7114, 21465, 2360, 630, 531, 4022, 267, 21557, 267, 3092, 4700, 282, 1447, 2500, 693, 12018, 3664, 2469, 4464, 269, 16790, 28036, 779, 3207, 7963, 4667, 899, 621, 786, 581, 513, 811, 3730, 543, 29829, 7664, 540, 519, 1239, 267, 602, 786, 25006, 3310, 875, 594, 1589, 827, 2104, 3664, 630, 15290, 547, 979, 547, 5127, 267, 950, 547, 1305, 1250, 15372, 267, 2436, 547, 723, 602, 3606, 4235, 1916, 4916, 281, 1498, 594, 8499, 4324, 1540, 689, 2542, 4208, 1284, 12619, 267, 972, 616, 9645, 2055, 1472, 930, 540, 519, 1239, 4295, 547, 519, 23350, 540, 519, 1433, 267, 1655, 6719, 1934, 269, 3245, 1250, 2123, 1995, 267, 519, 1433, 12592, 803, 547, 1312, 1451, 811, 827, 1250, 3207, 543, 519, 20334, 547, 519, 2298, 540, 602, 3207, 282, 1614, 1296, 2663, 267, 594, 6557, 8902, 1107, 538, 851, 7064, 547, 602, 8404, 269, 962, 12613, 309, 269, 0, 1607, 7981, 1436, 568, 6322, 693, 8600, 1053, 585, 15938, 1353, 538, 606, 2296, 18702, 6280, 269, 634, 1576, 28382, 596, 585, 2407, 7589, 543, 6278, 609, 707, 2090, 676, 2679, 4656, 543, 1620, 540, 519, 4295, 2418, 543, 6788, 540, 4081, 2528, 267, 543, 3246, 596, 609, 4052, 2994, 547, 4019, 547, 707, 2090, 269, 769, 713, 1576, 267, 596, 786, 1451, 875, 547, 1020, 707, 6176, 1299, 7913, 17402, 10341, 547, 948, 596, 3035, 1967, 538, 707, 6280, 2090, 269, 2991, 11264, 713, 1576, 267, 596, 786, 581, 2111, 547, 912, 268, 476, 276, 6801, 10844, 269, 10019, 14999, 268, 476, 275, 6801, 276, 269, 3953, 14999, 268, 476, 274, 6801, 271, 269, 10844, 14999, 268, 476, 273, 6801, 271, 269, 1015, 14999, 268, 476, 272, 5182, 271, 269, 8064, 14999, 28032, 484, 420, 485, 359, 2562, 19489, 7246, 3582, 1299, 667, 5456, 3951, 3201, 700, 25604, 3722, 312, 11123, 6167, 4353, 8991, 14510, 24639, 6717, 8577, 7511, 419, 484, 365, 421, 500, 478, 420, 358, 499, 420, 360, 500, 454, 2304, 5140, 1576, 256, 594, 6999, 594, 1185, 6785, 713, 1354, 594, 3323, 2852, 269, 594, 993, 538, 5552, 1153, 1631, 543, 594, 993, 865, 9684, 995, 594, 3357, 2066, 621, 563, 1607, 1576, 729, 2731, 1360, 5863, 269, 3414, 713, 1576, 594, 4121, 513, 2603, 269, 594, 2968, 5432, 609, 519, 1919, 799, 594, 1705, 711, 917, 1354, 269, 11289, 596, 1330, 338, 5028, 585, 5356, 971, 5863, 1576, 563, 1607, 1576, 5280, 803, 620, 582, 609, 1250, 1983, 547, 6218, 543, 2697, 2959, 865, 607, 547, 917, 952, 789, 616, 6325, 585, 4081, 2796, 610, 711, 563, 296, 2648, 713, 1576, 267, 1360, 593, 1448, 543, 3551, 256, 1411, 4224, 267, 20485, 256, 594, 4126, 547, 3643, 2160, 540, 17638, 835, 1554, 269, 0, 18490, 281, 30070, 5520, 543, 5883, 2511, 5788, 7824, 3758, 5788, 476, 1001, 275, 268, 5881, 268, 1704, 18490, 281, 2483, 8070, 593, 476, 736, 5336, 541, 268, 1001, 279, 454, 21615, 539, 12025, 630, 29210, 994, 4415, 519, 1699, 7678, 2509, 17498, 1944, 602, 3906, 616, 1210, 547, 2759, 3790, 267, 621, 568, 811, 1271, 982, 2479, 602, 9946, 1831, 4665, 2209, 269, 8409, 602, 723, 15068, 17498, 1944, 1265, 2933, 2921, 593, 811, 9021, 610, 3257, 519, 960, 538, 1114, 2081, 982, 1018, 789, 941, 26224, 269, 898, 568, 538, 1034, 9082, 2470, 547, 5706, 1689, 267, 1256, 952, 1152, 585, 513, 2110, 942, 269, 5221, 15000, 616, 538, 513, 3348, 13895, 2990, 267, 9946, 991, 547, 1589, 540, 2081, 547, 15260, 675, 873, 602, 741, 7158, 616, 5150, 543, 693, 519, 1482, 942, 18663, 873, 547, 798, 519, 960, 602, 2115, 547, 1205, 2944, 269, 1809, 875, 798, 9946, 18663, 1004, 286, 1548, 1505, 568, 519, 1655, 1505, 547, 946, 286, 3657, 9946, 519, 1152, 3283, 5827, 540, 30070, 1004, 286, 1452, 5396, 616, 9619, 538, 713, 3992, 2059, 609, 930, 6436, 1312, 593, 8404, 543, 5718, 888, 1432, 568, 31802, 888, 7212, 930, 1004, 20093, 821, 3585, 6003, 8404, 607, 513, 16023, 267, 621, 2965, 568, 606, 5872, 1063, 513, 1268, 543, 513, 3510, 269, 7763, 643, 1049, 5397, 610, 875, 1454, 4674, 513, 1268, 11851, 338, 4724, 1140, 8724, 513, 1978, 3804, 949, 8428, 689, 1268, 547, 1268, 610, 689, 3510, 547, 3510, 269, 634, 2165, 8404, 568, 18005, 3989, 585, 713, 1576, 607, 519, 3157, 602, 2272, 585, 606, 2043, 18515, 547, 11851, 1164, 2157, 540, 4674, 547, 3914, 10721, 3853, 267, 31411, 676, 519, 3646, 2702, 547, 14183, 930, 1367, 991, 269, 8422, 1919, 1796, 856, 538, 713, 4214, 281, 4674, 267, 10721, 3853, 543, 991, 269, 1879, 519, 9441, 11851, 338, 4674, 7157, 267, 602, 568, 4724, 10721, 3853, 267, 1287, 519, 2115, 602, 646, 814, 267, 8726, 789, 1522, 581, 267, 786, 581, 1558, 563, 15900, 28636, 540, 31802, 454, 16248, 2038, 6436, 602, 616, 4922, 1634, 1413, 693, 8404, 689, 1114, 3344, 269, 634, 1101, 267, 16549, 869, 338, 28762, 8944, 540, 20126, 7869, 267, 3096, 513, 18158, 547, 6813, 875, 9082, 2115, 979, 689, 12214, 547, 1582, 19840, 783, 1436, 543, 519, 1249, 602, 519, 2115, 602, 616, 13854, 1101, 616, 519, 2539, 19195, 2115, 269, 634, 3069, 849, 17613, 602, 519, 2539, 268, 23912, 2115, 616, 5007, 2115, 1247, 519, 2362, 268, 23912, 3283, 616, 4835, 2115, 269, 4495, 835, 991, 568, 15186, 13854, 267, 519, 1268, 7575, 593, 547, 519, 1985, 2362, 1377, 267, 4352, 1100, 991, 568, 7357, 13854, 269, 1215, 1281, 621, 3514, 454, 514, 609, 8404, 286, 16549, 869, 1102, 619, 538, 1931, 585, 513, 1268, 547, 581, 12592, 267, 519, 9614, 1590, 1174, 1018, 1377, 519, 1268, 568, 593, 543, 960, 693, 17598, 1010, 2115, 693, 610, 1657, 602, 1377, 563, 763, 1985, 3069, 568, 17755, 2958, 832, 3069, 2473, 543, 7869, 962, 269, 3571, 3069, 2473, 729, 513, 2942, 2070, 540, 1004, 543, 7150, 602, 4600, 723, 2370, 20440, 267, 771, 3697, 960, 543, 1616, 547, 2057, 5539, 269, 7869, 2473, 8612, 602, 519, 1152, 1259, 547, 18663, 602, 1367, 729, 547, 5702, 1852, 1010, 960, 3927, 269, 2201, 519, 824, 1688, 267, 1010, 454, 22117, 532, 281, 300, 582, 22899, 32715, 4315, 663, 31572, 306, 1399, 548, 763, 800, 962, 7150, 602, 4600, 666, 3635, 1582, 1673, 3925, 267, 3398, 543, 2965, 3343, 856, 5539, 543, 2015, 960, 547, 581, 513, 2067, 2534, 269, 3571, 7869, 962, 568, 1018, 646, 10924, 1655, 3514, 4600, 543, 602, 9946, 1058, 6023, 741, 5520, 9935, 563, 763, 3803, 2038, 3069, 729, 4173, 345, 6199, 338, 31802, 6953, 344, 8958, 7869, 269, 1261, 5156, 602, 2043, 8456, 4724, 960, 5462, 741, 1967, 610, 5821, 269, 769, 1010, 3069, 646, 6700, 602, 519, 6587, 540, 9547, 729, 1100, 9547, 543, 519, 6587, 540, 1100, 27025, 8351, 729, 27025, 8351, 269, 1215, 729, 713, 3069, 1031, 547, 18663, 286, 769, 4641, 519, 1344, 593, 9547, 543, 27025, 8351, 267, 1152, 729, 513, 1883, 547, 8744, 827, 10103, 538, 519, 9036, 269, 1261, 5156, 602, 538, 1931, 547, 18663, 1004, 267, 4665, 2209, 1131, 723, 547, 581, 15091, 269, 7763, 643, 2209, 616, 2188, 602, 2333, 2816, 9547, 543, 5397, 563, 28757, 28636, 540, 31802, 454, 1103, 1840, 547, 519, 2038, 6436, 267, 972, 616, 3670, 4207, 8404, 4485, 602, 4352, 711, 607, 1134, 8153, 607, 519, 4505, 6436, 267, 616, 21230, 6462, 676, 1382, 269, 589, 5750, 602, 5205, 713, 3296, 26564, 1346, 4485, 543, 3877, 741, 1292, 3334, 563, 763, 8422, 9539, 324, 2644, 7869, 14439, 1614, 3334, 2404, 609, 1018, 606, 9441, 2115, 281, 991, 585, 9740, 282, 991, 585, 1379, 543, 282, 991, 585, 30901, 269, 4746, 4362, 538, 713, 1382, 568, 519, 1249, 602, 5520, 602, 723, 513, 1164, 991, 585, 9740, 21645, 8209, 1118, 1434, 9946, 1317, 789, 1445, 593, 741, 1378, 18517, 1247, 1164, 30901, 543, 1379, 2115, 616, 5702, 1644, 547, 31707, 1967, 563, 763, 25779, 4149, 23293, 7869, 568, 519, 20790, 602, 1808, 3853, 2333, 2773, 543, 602, 2352, 3853, 950, 7608, 267, 1267, 538, 2362, 2773, 982, 798, 2653, 3853, 269, 2060, 2463, 547, 8404, 267, 519, 3069, 5267, 602, 1808, 543, 4101, 3853, 616, 9120, 30070, 4229, 269, 4329, 267, 621, 2829, 602, 2043, 602, 723, 513, 1164, 2631, 540, 12588, 4431, 547, 2942, 5955, 609, 2799, 4674, 543, 5397, 269, 1717, 267, 621, 1281, 1448, 856, 602, 891, 6286, 616, 2528, 27995, 543, 798, 711, 8209, 4019, 547, 4529, 1141, 2773, 568, 711, 9833, 607, 3810, 676, 1016, 24002, 607, 621, 568, 676, 9946, 543, 1141, 1016, 24002, 616, 711, 21230, 4830, 563, 1103, 519, 27588, 7763, 22899, 22868, 1935, 610, 808, 13967, 267, 2816, 1374, 267, 2816, 23822, 618, 998, 2810, 2816, 9165, 630, 32061, 811, 4247, 23276, 1070, 2816, 23918, 998, 2810, 2816, 3178, 630, 32061, 811, 5539, 19794, 264, 543, 519, 2816, 4162, 2203, 616, 8947, 269, 3502, 1152, 1281, 713, 1935, 2709, 5583, 593, 2081, 540, 30070, 5520, 998, 1818, 6009, 811, 17598, 855, 689, 519, 2203, 2097, 10372, 593, 875, 812, 7970, 666, 9585, 621, 269, 12866, 10372, 616, 6035, 547, 9946, 585, 2816, 2242, 281, 476, 272, 264, 9192, 4247, 610, 2322, 27929, 6009, 1394, 1927, 282, 476, 273, 264, 1711, 2067, 960, 4559, 282, 476, 274, 264, 3715, 7817, 3347, 998, 519, 7674, 9441, 282, 476, 275, 264, 4228, 6009, 19794, 543, 282, 476, 276, 264, 1930, 5955, 9055, 563, 763, 24054, 7869, 2829, 602, 606, 9441, 19776, 1010, 610, 1200, 6009, 3403, 13050, 3699, 5223, 609, 602, 540, 4143, 1866, 543, 1287, 2953, 338, 1022, 6528, 640, 269, 634, 1866, 602, 568, 5219, 547, 538, 519, 454, 7343, 25209, 3763, 518, 4400, 7547, 454, 23921, 585, 9740, 7287, 547, 8011, 454, 16248, 9539, 324, 2644, 7869 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15100, 476, 1220, 280, 3627, 25067, 1299, 25860, 20122, 7505, 267, 27359, 476, 271, 3583, 1789, 15440, 658, 19098, 585, 519, 9869, 20890, 12752, 667, 3591, 517, 1299, 15917, 525, 476, 3445, 30094, 720, 8779, 20587, 720, 19569, 365, 589, 13962, 779, 20892, 1942, 6871, 568, 519, 5223, 540, 519, 13962, 779, 1942, 540, 20892, 4421, 630, 322, 739, 540, 6455, 281, 20892, 264, 543, 922, 20892, 8907, 630, 338, 2297, 6393, 15100, 476, 1220, 280, 3627, 25067, 1299, 25860, 20122, 7505, 267, 27359, 476, 271, 3583, 1789, 15440, 658, 19098, 585, 519, 9869, 20890, 12752, 667, 3591, 517, 1299, 15917, 525, 476, 11011, 8534, 8779, 20587, 720, 19569, 365, 31777, 622, 2720, 616, 1360, 5461, 538, 519, 4074, 1942, 6871, 267, 799, 568, 519, 6712, 540, 2698, 6455, 602, 729, 6170, 593, 4074, 9276, 269, 19569, 365, 898, 568, 3335, 711, 538, 519, 1655, 1719, 540, 13962, 12427, 547, 2569, 519, 2698, 2179, 789, 6108, 593, 4074, 269, 769, 1034, 3536, 16291, 3871, 267, 9946, 1616, 547, 4196, 811, 14538, 267, 543, 602, 3335, 3340, 3606, 5234, 269, 19569, 365, 3509, 9946, 1745, 621, 568, 811, 1271, 547, 1852, 4074, 3790, 982, 1587, 3790, 1317, 267, 585, 1082, 540, 873, 267, 4074, 543, 4074, 5829, 3790, 17663, 513, 3677, 6712, 540, 741, 5665, 23348, 982, 798, 519, 1426, 543, 20892, 2472, 789, 6133, 780, 15100, 476, 1220, 280, 3627, 25067, 1299, 25860, 20122, 7505, 267, 27359, 476, 271, 3583, 1789, 15440, 658, 19098, 585, 519, 9869, 20890, 12752, 667, 3591, 517, 1299, 15917, 525, 476, 10844, 692, 15100, 476, 1220, 280, 3627, 25067, 1299, 25860, 20122, 7505, 267, 27359, 476, 271, 3583, 1789, 15440, 658, 19098, 585, 519, 9869, 20890, 12752, 667, 3591, 517, 1299, 15917, 525, 476, 11152, 19105, 19833, 829, 2871, 652, 630, 13425, 19105, 264, 19569, 365, 19105, 6455, 829, 16823, 630, 13765, 3328, 264, 568, 519, 3328, 2179, 540, 2724, 6170, 829, 6075, 1282, 513, 2016, 8051, 1974, 269, 19569, 365, 901, 2268, 540, 968, 338, 2297, 829, 16823, 892, 568, 1271, 1317, 621, 11438, 1344, 2877, 547, 6895, 10624, 6221, 8560, 267, 7447, 5234, 532, 4170, 267, 543, 1256, 3313, 11449, 5773, 269, 19569, 365, 898, 849, 2636, 513, 2883, 25566, 547, 2268, 513, 5832, 779, 7145, 538, 2810, 6455, 547, 922, 1699, 14538, 267, 2864, 982, 2810, 6455, 3274, 676, 6679, 3606, 14060, 780, 15100, 476, 1220, 280, 3627, 25067, 1299, 25860, 20122, 7505, 267, 27359, 476, 271, 3583, 1789, 15440, 658, 19098, 585, 519, 9869, 20890, 12752, 667, 3591, 517, 1299, 15917, 525, 476, 11463, 19105, 19833, 829, 2871, 652, 630, 13425, 19105, 264, 19569, 365, 634, 2638, 3328, 5223, 666, 581, 1031, 547, 5635, 513, 13962, 779, 2773, 547, 3105, 8051, 5712, 267, 547, 9472, 539, 610, 6578, 539, 2164, 267, 547, 2147, 14060, 267, 543, 547, 3370, 2872, 25939, 610, 4441, 269, 19569, 365, 12752, 25939, 543, 824, 13962, 7194, 616, 11593, 2139, 998, 12326, 971, 607, 519, 31777, 656, 12752, 15051, 7797, 3370, 676, 519, 2817, 31777, 656, 5948, 780, 15100, 476, 1220, 280, 3627, 25067, 1299, 25860, 20122, 7505, 267, 27359, 476, 271, 3583, 1789, 15440, 658, 19098, 585, 519, 9869, 20890, 12752, 667, 3591, 517, 1299, 15917, 525, 476, 4817, 692, 15100, 476, 1220, 280, 3627, 25067, 1299, 25860, 20122, 7505, 267, 27359, 476, 271, 3583, 1789, 15440, 658, 19098, 585, 519, 9869, 20890, 12752, 667, 3591, 517, 1299, 15917, 525, 476, 9834, 1530, 520, 12414, 1478, 19569, 365, 1530, 520, 24826, 3800, 519, 1297, 540, 2053, 16295, 1689, 689, 519, 1699, 7188, 518, 547, 519, 1985, 7188, 518, 538, 513, 2016, 8051, 1974, 780, 15100, 476, 1220, 280, 3627, 25067, 1299, 25860, 20122, 7505, 267, 27359, 476, 271, 3583, 1789, 15440, 658, 19098, 585, 519, 9869, 20890, 12752, 667, 3591, 517, 1299, 15917, 525, 476, 9032, 31777, 656, 13158, 3930, 22472, 8745, 14240, 13126, 540, 4578, 13528, 3121, 5253, 8779, 20587, 720, 15933, 8779, 20587, 720, 4564, 519, 6712, 540, 1426, 6455, 6170, 593, 1426, 9276, 23168, 1807, 281, 21952, 18614, 9324, 7631, 1807, 281, 21952, 18614, 8779, 540, 5253, 22307, 5253, 19833, 30094, 720, 8779, 20587, 720, 289, 1197, 720, 8779, 20587, 720, 4564, 519, 6712, 540, 30094, 720, 6455, 6170, 593, 30094, 720, 9276, 23168, 1807, 281, 21952, 18614, 9324, 7631, 1807, 281, 21952, 18614, 8779, 540, 30094, 720, 22307, 30094, 720, 19833, 8534, 8779, 20587, 720, 299, 1987, 8779, 20587, 720, 4564, 6712, 540, 2698, 6455, 6170, 593, 4074, 9276, 23168, 1807, 281, 21952, 18614, 9324, 7631, 1807, 281, 21952, 18614, 8779, 540, 8534, 265, 11192, 19833, 2608, 21798, 540, 4074, 815, 23269, 1341, 13848, 1341, 9441, 2640, 19105, 19833, 3131, 2871, 652, 630, 13425, 19105, 264, 19105, 6455, 829, 16823, 568, 3328, 2179, 540, 2724, 6170, 829, 6075, 1282, 513, 2016, 8051, 1974, 23168, 1807, 281, 21952, 18614, 9324, 7631, 1807, 281, 21952, 18614, 11192, 19833, 7089, 540, 2871, 3949, 4419, 539, 1530, 520, 12414, 1478, 5353, 520, 24826, 2982, 519, 1297, 540, 2053, 16295, 1689, 689, 513, 1699, 7188, 518, 547, 1776, 7188, 518, 538, 2016, 8051, 1974, 23168, 1807, 281, 21952, 18614, 9324, 7631, 1807, 281, 21952, 18614, 3213, 951, 4419, 539, 7089, 540, 1530, 1846, 1535, 7089, 540, 21952, 17963, 538, 11270, 692, 15100, 476, 1220, 280, 3627, 25067, 1299, 25860, 20122, 7505, 267, 27359, 476, 271, 3583, 1789, 15440, 658, 19098, 585, 519, 9869, 20890, 12752, 667, 3591, 517, 1299, 15917, 525, 476, 7176, 22414, 5811, 540, 13158, 3930, 19569, 365, 6145, 1082, 824, 2010, 540, 2883, 1239, 267, 513, 2754, 779, 2883, 12753, 616, 1419, 3379, 547, 3105, 8051, 5712, 267, 547, 9472, 539, 610, 6578, 539, 2164, 267, 610, 547, 3370, 2872, 25939, 610, 4441, 780, 15100, 476, 1220, 280, 3627, 25067, 1299, 25860, 20122, 7505, 267, 27359, 476, 271, 3583, 1789, 15440, 658, 19098, 585, 519, 9869, 20890, 12752, 667, 3591, 517, 1299, 15917, 525, 476, 4200, 22472, 5811, 7799, 14591, 19569, 365, 2290, 8467, 7915, 538, 606, 936, 1673, 2570, 1890, 593, 2883, 12753, 568, 602, 12753, 267, 676, 2933, 267, 949, 581, 1447, 6209, 8259, 3379, 547, 1346, 540, 3105, 8051, 5712, 267, 6578, 539, 2164, 267, 2872, 25939, 267, 610, 2147, 3601, 269, 19569, 365, 6271, 20159, 568, 602, 2883, 12753, 798, 711, 2268, 513, 2754, 779, 7214, 3854, 7221, 971, 607, 6216, 2012, 267, 1761, 585, 2208, 267, 543, 7214, 610, 1480, 3854, 950, 12570, 513, 2754, 779, 3020, 4502, 780, 15100, 476, 1220, 280, 3627, 25067, 1299, 25860, 20122, 7505, 267, 27359, 476, 271, 3583, 1789, 15440, 658, 19098, 585, 519, 9869, 20890, 12752, 667, 3591, 517, 1299, 15917, 525, 476, 1911, 5623, 540, 4804, 27159, 19569, 365, 3557, 519, 3483, 543, 1871, 540, 12719, 543, 1210, 12753, 547, 5659, 519, 1072, 540, 513, 24756, 1870, 269, 19569, 365, 31692, 880, 1063, 28880, 267, 1151, 1597, 1097, 267, 2534, 267, 20656, 267, 20090, 267, 543, 24756, 10391, 12753, 269, 19569, 365, 30770, 543, 5659, 519, 1034, 1455, 12753, 1031, 538, 519, 24756, 2872, 780, 13436, 14245 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 30220, 1104, 30220, 692, 3698, 5173, 28442, 267, 2085, 264, 10778, 825, 1032, 815, 476, 1911, 268, 2085, 1341, 30220, 6745, 3736, 14061, 20204, 454, 825, 1820, 28442, 266, 257, 263, 14602, 478, 264, 32629, 498, 257, 266, 1193, 12169, 792, 264, 1341, 257, 423, 483, 482, 29306, 494, 476, 1911, 424, 482, 372, 32174, 478, 14091, 494, 510, 21844, 366, 481, 28990, 483, 21498, 486, 30319, 1701, 9239, 4067, 815, 3403, 4590, 720, 815, 703, 9272, 15405, 20412, 622, 28442, 267, 2085, 264, 0, 258, 10563, 508, 482, 14602, 502, 14602, 502, 29250, 10563, 352, 376, 424, 484, 490, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 423, 364, 505, 424, 499, 482, 7014, 267, 3984, 267, 14091, 480, 502, 423, 357, 372, 424, 356, 478, 9638, 987, 267, 13214, 11415, 267, 3267, 264, 423, 350, 506, 21844, 369, 361, 423, 370, 482, 17432, 502, 32629, 498, 29030, 498, 482, 423, 350, 506, 422, 371, 372, 423, 508, 357, 14602, 482, 10563, 508, 495, 424, 482, 365, 692, 14766, 815, 3403, 4590, 14766, 318, 272, 815, 29250, 21858, 3488, 2517, 10807, 314, 271, 2639, 14766, 318, 273, 815, 29250, 21858, 3488, 2517, 10807, 314, 272, 4940, 20889, 3488, 270, 10807, 314, 271, 2639, 14766, 318, 274, 815, 29250, 21858, 3488, 2517, 10807, 314, 272, 4940, 20889, 3488, 270, 10807, 314, 272, 2639, 2745, 2891, 2889, 339, 4377, 281, 834, 266, 14766, 318, 272, 994, 2745, 2891, 10676, 281, 834, 266, 14766, 318, 273, 994, 2745, 2891, 1278, 338, 281, 834, 266, 14766, 318, 274, 264, 0, 258, 476, 1911, 349, 4968, 10563, 480, 361, 27338, 14602, 502, 10563, 486, 360, 28990, 494, 29306, 494, 424, 482, 506, 21844, 364, 479, 32174, 479, 14602, 502, 10563, 508, 494, 423, 355, 361, 10563, 486, 360, 28990, 494, 32174, 478, 10563, 356, 507, 424, 486, 502, 14602, 372, 10563, 486, 360, 28990, 494, 423, 354, 376, 10563, 364, 378, 424, 499, 482, 424, 482, 506, 10563, 377, 353, 423, 356, 486, 263, 267, 264, 423, 350, 506, 21844, 369, 361, 423, 370, 482, 692, 1551, 815, 314, 6540, 1721, 1775, 538, 2039, 630, 1911, 267, 22145, 264, 10778, 567, 952, 630, 328, 12262, 1911, 264, 260, 273, 2652, 271, 543, 16733, 328, 260, 1911, 264, 2260, 1015, 264, 260, 273, 2652, 271, 543, 630, 328, 260, 1015, 264, 260, 273, 2525, 271, 912, 11434, 2855, 6910, 9217, 2020, 1721, 1775, 538, 2039, 12759, 19906, 9984, 272, 264, 10778, 825, 1820, 19906, 5157, 3910, 754, 284, 3299, 5073, 2745, 19906, 15631, 272, 8079, 0, 1551, 815, 834, 3890, 314, 346, 22042, 316, 4840, 258, 2855, 273, 815, 834, 9230, 3890, 30727, 2891, 454, 258, 2638, 272, 815, 11713, 258, 2638, 273, 815, 11713, 258, 2638, 274, 815, 11713, 258, 568, 12148, 815, 834, 16178, 4840, 258, 585, 1775, 538, 2855, 273, 912, 258, 672, 952, 1775, 2652, 834, 2891, 912, 258, 1363, 2638, 272, 6910, 9217, 994, 258, 672, 8640, 2638, 272, 543, 1775, 2652, 834, 264, 13426, 258, 1363, 2638, 272, 21014, 4590, 258, 672, 8640, 1775, 2652, 834, 314, 13426, 258, 1363, 2638, 273, 6910, 9217, 994, 258, 672, 8640, 2638, 273, 543, 1775, 2525, 19312, 13426, 258, 1363, 2638, 273, 21014, 4590, 258, 672, 8640, 1775, 2652, 834, 346, 13426, 258, 1363, 2638, 274, 6910, 9217, 994, 258, 672, 8640, 2638, 274, 543, 1775, 2525, 257, 348, 13426, 258, 1363, 2638, 274, 21014, 4590, 258, 672, 3116, 912, 258, 1363, 2736, 454, 258, 3116, 912, 258, 672, 952, 711, 2638, 272, 543, 711, 2638, 274, 543, 711, 2638, 273, 912, 258, 1363, 568, 12148, 815, 834, 12148, 4840, 258, 1820, 263, 529, 12148, 2020, 3698, 568, 11749, 573, 630, 1598, 2187, 825, 10518, 815, 11713, 825, 3349, 476, 815, 13634, 1038, 1412, 264, 262, 2433, 1412, 3488, 2676, 1038, 1412, 348, 262, 2433, 1412, 346, 22779, 1038, 1412, 316, 262, 2433, 1412, 314, 7055, 825, 7684, 692, 825, 1948, 10563, 488, 353, 425, 481, 507, 10563, 507, 368, 424, 504, 358, 10563, 502, 486, 424, 503, 372, 10563, 366, 502, 423, 355, 361, 14091, 364, 493, 10563, 507, 376, 424, 373, 502, 10563, 501, 361, 423, 370, 478, 29030, 490, 494, 423, 367, 482, 692, 825, 585, 521, 538, 1193, 10778, 1038, 952, 521, 711, 538, 3349, 281, 1948, 630, 267, 2715, 267, 1496, 454, 2018, 10518, 6910, 4433, 994, 1038, 8640, 711, 10518, 610, 3349, 314, 338, 316, 11203, 10518, 21014, 10031, 2018, 2132, 8771, 454, 825, 2132, 476, 7003, 263, 23637, 264, 2652, 476, 271, 454, 0, 258, 278, 692, 5035, 31777, 656, 10031, 825, 1219, 6449, 8181, 1029, 630, 1345, 267, 6135, 4768, 656, 12173, 267, 11951, 25292, 2187, 1038, 1582, 269, 6135, 4768, 656, 12173, 815, 13962, 12173, 454, 1038, 1582, 6983, 10392, 25292, 815, 11951, 25292, 454, 825, 1219, 4766, 318, 6135, 4768, 656, 4311, 2187, 1038, 2132, 834, 24001, 5713, 8748, 15079, 1701, 1547, 8971, 4311, 269, 6135, 4768, 656, 12173, 267, 1582, 6983, 10392, 25292, 994, 825, 1219, 1930, 318, 6135, 4768, 656, 4311, 2187, 1038, 2132, 834, 423, 510, 486, 424, 488, 353, 425, 484, 510, 423, 508, 495, 27338, 10563, 502, 353, 425, 498, 486, 17432, 502, 424, 502, 478, 424, 488, 369, 21498, 486, 30319, 3010, 320, 284, 31777, 656, 2891, 763, 6399, 10348, 2580, 834, 335, 14040, 5602, 321, 284, 31777, 656, 2891, 299, 644, 341, 580, 24202, 645, 626, 549, 2580, 834, 572, 2378, 797, 5602, 322, 284, 31777, 656, 2891, 300, 24546, 21487, 2580, 834, 628, 2967, 1426, 15419, 2745, 5416, 6155, 525, 9216, 318, 6135, 4768, 656, 15405, 2745, 6357, 6155, 525, 9216, 318, 6135, 4768, 656, 15405, 2745, 6262, 6155, 525, 9216, 318, 6135, 4768, 656, 15405, 0, 258, 10563, 484, 490, 424, 486, 502, 14602, 372, 424, 356, 478, 423, 354, 376, 29030, 490, 494, 21498, 357, 17432, 502, 32629, 498, 29030, 498, 482, 423, 350, 506, 422, 371, 372, 423, 508, 357, 692, 3698, 6305, 16325, 264, 10778, 825, 585, 2820, 538, 2039, 263, 273, 267, 11133, 264, 10778, 1038, 952, 1003, 4939, 2820, 2652, 476, 271, 912, 2018, 1820, 2891, 424, 484, 490, 424, 486, 502, 32174, 478, 10563, 499, 482, 21498, 503, 21498, 486, 30319, 23528, 2018, 2736, 454, 1038, 8640, 2820, 2652, 1003, 910, 272, 912, 2018, 1820, 2891, 424, 484, 490, 424, 486, 502, 28990, 483, 21498, 486, 30319, 23528, 1038, 3116, 912, 2018, 3136, 692, 15893, 815, 703, 9272, 15405, 18905, 28840, 264, 0, 258, 6422, 5752, 25341, 21844, 364, 496, 423, 497, 353, 14602, 482, 834, 32510, 478, 28990, 354, 257, 17432, 368, 423, 495, 494, 422, 367, 510, 476, 17432, 482, 424, 504, 498, 17432, 510, 14091, 499, 490, 21844, 374, 376, 423, 480, 368, 10563, 497, 368, 30319, 563, 258, 29030, 498, 376, 423, 367, 368, 423, 480, 502, 424, 373, 502, 10563, 486, 502, 29306, 368, 10563, 510, 499, 423, 355, 361, 29477, 483, 26926, 483, 26926, 483, 26926, 483, 454, 258, 21844, 366, 377, 424, 504, 364, 14602, 502, 10563, 486, 502, 14091, 356, 492, 14602, 478, 21844, 366, 377, 424, 504, 364, 4534, 15010, 31185, 14091, 361, 368, 424, 350, 364, 422, 365, 368, 476, 1911, 260, 29030, 503, 506, 424, 504, 358, 17432, 502, 422, 372, 364, 454, 258, 476, 5377, 909, 10563, 507, 482, 454, 3698, 3070, 3799, 2187, 825, 2626, 815, 1496, 271, 267, 476, 272, 316, 476, 1948, 674, 263, 271, 6661, 271, 267, 674, 263, 272, 6661, 272, 454, 825, 585, 1775, 538, 2039, 263, 273, 267, 562, 1341, 476, 272, 2567, 476, 1948, 674, 3799, 264, 815, 630, 293, 3799, 268, 272, 264, 1341, 674, 3799, 268, 273, 4297, 4939, 476, 11277, 27174, 278, 454, 1038, 2626, 6910, 9230, 24987, 5157, 910, 476, 272, 316, 1341, 2626, 5157, 910, 476, 273, 8079, 4939, 476, 11277, 27174, 278, 994, 825, 2132, 2626, 15631, 272, 316, 476, 1948, 14091, 356, 486, 424, 356, 478, 423, 356, 487, 21844, 366, 364, 422, 367, 376, 423, 354, 376, 2132, 0, 5814, 19523, 692, 10401, 815, 1193, 9272, 31156, 604, 13672, 18994, 21639, 3890, 10778, 825, 1820, 263, 10401, 1341, 834, 32629, 498, 14091, 490, 478, 423, 361, 372, 28990, 494, 10563, 508, 483, 21498, 486, 30319, 23528, 12828, 10778, 825, 1820, 263, 10401, 1341, 834, 32629, 498, 10563, 484, 490, 423, 361, 372, 28990, 494, 10563, 508, 483, 21498, 486, 30319, 1701, 264, 0, 5228, 10070, 1104, 632, 4302, 454, 5814, 19523, 692, 11459, 815, 1496, 272, 16427, 272, 267, 271, 267, 271, 2639, 11276, 815, 1496, 271, 267, 271, 16427, 272, 267, 272, 6540, 3698, 568, 13665, 3287, 11971, 2187, 825, 952, 1535, 283, 271, 610, 586, 283, 271, 10778, 1038, 2132, 8771, 454, 825, 952, 1535, 13843, 562, 610, 586, 13843, 544, 10778, 1038, 2132, 8771, 454, 825, 952, 5119, 20572, 6012, 344, 316, 2652, 476, 271, 2433, 1948, 14091, 364, 358, 423, 361, 372, 17432, 506, 21844, 366, 377, 424, 504, 364, 454, 1038, 2132, 8771, 454, 825, 2132, 6936, 1948, 21844, 371, 372, 10563, 503, 372, 14602, 502, 21844, 366, 377, 424, 504, 364, 692, 3698, 536, 12028, 3287, 11971, 2187, 825, 20313, 815, 632, 4302, 4590, 825, 1820, 263, 28255, 994, 825, 20313, 6910, 9230, 343, 267, 586, 4917, 825, 1820, 263, 28255, 994, 258, 20313, 815, 632, 4302, 9230, 343, 11971, 4297, 1948, 10563, 489, 506, 28990, 495, 10563, 356, 478, 32510, 494, 14602, 482, 14091, 482, 352, 32629, 498, 30319, 563, 825, 1247, 20313, 912, 1038, 1535, 11971, 815, 20313, 4877, 963, 1111, 4590, 1038, 585, 1775, 538, 2039, 263, 275, 2187, 2018, 562, 343, 815, 1535, 1341, 15848, 5157, 2639, 2018, 562, 344, 815, 586, 1341, 10085, 5157, 2639, 2018, 952, 568, 13665, 3799, 343, 267, 5500, 264, 543, 5119, 19559, 343, 6012, 5500, 316, 2525, 272, 912, 3546, 5119, 19559, 343, 6012, 5500, 316, 815, 5119, 20572, 6012, 344, 27994, 272, 454, 3546, 20313, 6910, 9230, 333, 343, 267, 5500, 4917, 825, 2132, 5119, 19559, 268, 272, 6012, 332, 268, 272, 6540, 333, 31599, 815, 4786, 17301, 267, 6358, 14061, 20889, 15405, 9795, 815, 20886, 272, 267, 476, 272, 267, 476, 271, 3910, 1496, 271, 267, 476, 272, 267, 476, 271, 3910, 1496, 271, 267, 476, 272, 267, 476, 272, 27663, 2745, 6357, 12028, 263, 271, 267, 271, 4917, 0, 258, 262, 29582, 3698, 262, 14091, 361, 372, 28990, 494, 29306, 368, 14602, 502, 21844, 364, 479, 32174, 479, 14602, 502, 14091, 361, 372, 28990, 494, 423, 354, 376, 29030, 480, 353, 423, 350, 506, 476, 17432, 502, 422, 367, 510, 476, 271, 349, 276, 10563, 480, 361, 27338, 14602, 502, 10563, 510, 499, 424, 486, 502, 423, 354, 376, 21844, 364, 496, 424, 506, 376, 423, 350, 506, 476, 17432, 502, 32629, 498, 14091, 498, 499, 424, 483, 498, 423, 482, 486, 423, 355, 361, 21844, 364, 507, 424, 366, 368, 423, 354, 376, 10563, 481, 507, 424, 482, 365, 17432, 502, 422, 367, 510, 2676, 258, 10563, 507, 368, 14091, 498, 499, 424, 483, 498, 423, 482, 486, 423, 355, 361, 21844, 364, 507, 424, 366, 368, 14602, 502, 29030, 480, 353, 424, 503, 478, 21844, 364, 496, 10563, 510, 499, 423, 367, 368, 423, 354, 376, 10563, 370, 506, 423, 510, 354, 17432, 502, 32629, 498, 29030, 498, 482, 423, 350, 506, 422, 371, 372, 423, 508, 357, 14602, 482, 10563, 508, 495, 424, 482, 365, 692, 11907, 815, 27835, 320, 9166, 271, 10086, 321, 9166, 272, 10086, 322, 9166, 273, 10086, 323, 9166, 274, 10086, 324, 9166, 275, 10086, 325, 9166, 276, 8679, 1721, 1883, 538, 1239, 912, 825, 1820, 31107, 1341, 834, 281, 834, 1341, 1598, 16597, 10947, 31107, 30727 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 693, 2547, 4642, 269, 634, 6991, 7222, 547, 519, 9764, 10739, 568, 3006, 1572, 519, 1101, 17184, 6991, 267, 6466, 538, 713, 2796, 519, 9101, 6991, 568, 5219, 547, 607, 519, 2034, 17184, 6991, 16804, 1015, 6540, 2690, 513, 1560, 538, 606, 14248, 18967, 673, 10739, 530, 5109, 547, 17108, 547, 606, 9101, 10739, 519, 2838, 3432, 786, 4268, 267, 543, 786, 581, 6574, 693, 31971, 2355, 529, 950, 519, 1560, 568, 14191, 547, 519, 3844, 1560, 269, 1717, 267, 519, 20771, 3432, 540, 519, 1560, 786, 849, 581, 693, 922, 5207, 693, 713, 1448, 267, 543, 519, 1689, 538, 6991, 2838, 786, 581, 693, 922, 9803, 267, 607, 6045, 676, 519, 744, 828, 628, 1198, 780, 2162, 645, 776, 1417, 878, 9101, 6991, 692, 20007, 1227, 9101, 6991, 666, 2901, 581, 6027, 607, 513, 3448, 547, 519, 824, 267, 3844, 1560, 610, 3448, 547, 4099, 540, 2527, 610, 536, 776, 22487, 540, 519, 1062, 540, 4703, 269, 4935, 585, 1949, 540, 1079, 4703, 267, 519, 2165, 9101, 6991, 666, 581, 24813, 267, 855, 621, 568, 2356, 5497, 547, 1611, 519, 536, 776, 1417, 878, 9101, 6991, 540, 519, 1447, 7372, 1560, 269, 769, 14965, 4610, 267, 9101, 6991, 4016, 547, 519, 9101, 6991, 540, 4642, 2527, 1449, 5536, 3448, 547, 519, 536, 776, 22487, 540, 519, 13999, 10451, 519, 2361, 269, 769, 1034, 3871, 5473, 14361, 519, 3017, 568, 30050, 269, 1280, 513, 2527, 3160, 547, 513, 21275, 966, 15177, 267, 519, 9101, 6991, 3448, 547, 519, 10131, 14950, 568, 476, 26562, 269, 276, 993, 4882, 630, 279, 1109, 22974, 18852, 829, 1032, 264, 5488, 982, 519, 9101, 6991, 3448, 547, 519, 8994, 4099, 540, 2527, 16804, 6540, 2162, 27551, 540, 2539, 268, 767, 6290, 24551, 692, 296, 3913, 1681, 782, 2188, 824, 982, 519, 14965, 3196, 1063, 519, 1560, 543, 519, 1843, 267, 606, 1843, 15810, 19794, 693, 3432, 12276, 6234, 642, 4151, 689, 519, 2627, 540, 513, 20085, 1560, 609, 9101, 6991, 12276, 6234, 642, 3709, 324, 22288, 543, 8953, 12276, 6234, 681, 4151, 786, 12492, 513, 5021, 4463, 12276, 6234, 554, 4151, 17598, 519, 3830, 314, 1556, 6540, 21851, 6234, 642, 284, 341, 3709, 324, 7346, 6912, 11513, 2765, 2715, 327, 2410, 305, 266, 327, 3686, 4153, 2073, 10592, 6518, 267, 6061, 585, 554, 2164, 538, 692, 21851, 6234, 554, 284, 3189, 2765, 2715, 343, 3867, 273, 12453, 272, 14870, 3867, 273, 3686, 4153, 681, 315, 2073, 10592, 3602, 12276, 3667, 5882, 1535, 284, 341, 23218, 3709, 324, 22288, 568, 519, 5223, 540, 519, 3312, 3432, 12276, 6234, 642, 4151, 547, 519, 9101, 6991, 12276, 6234, 642, 3709, 324, 20467, 10592, 19284, 9101, 6991, 267, 519, 4287, 630, 3200, 1227, 909, 264, 568, 1271, 547, 3035, 5021, 4463, 780, 1012, 3004, 915, 800, 692, 2252, 606, 1843, 1140, 1622, 4010, 9101, 6991, 267, 855, 568, 711, 9859, 2786, 2476, 689, 519, 4541, 267, 1287, 621, 786, 1246, 513, 17208, 2619, 610, 18330, 269, 4014, 713, 18330, 1281, 711, 1106, 513, 6806, 3337, 267, 621, 666, 581, 5219, 547, 607, 606, 10739, 269, 32114, 602, 8904, 568, 519, 1152, 1713, 3196, 538, 519, 1062, 267, 713, 1843, 781, 3432, 693, 1022, 1448, 538, 519, 18330, 786, 581, 3160, 547, 519, 9101, 6991, 693, 602, 1448, 1813, 547, 519, 5726, 540, 1648, 267, 922, 2698, 1648, 1590, 2141, 581, 476, 271, 267, 799, 10522, 602, 621, 2141, 814, 9101, 6991, 282, 1294, 519, 8174, 566, 1657, 269, 634, 3337, 540, 519, 18330, 786, 581, 513, 29236, 4171, 1445, 568, 4092, 693, 519, 4099, 540, 2527, 540, 519, 4541, 269, 1323, 4890, 9101, 3340, 513, 1576, 609, 513, 18330, 602, 1281, 711, 12969, 609, 519, 4541, 267, 610, 922, 5790, 267, 2094, 713, 1131, 2014, 519, 1843, 547, 16154, 269, 1879, 3001, 2476, 689, 519, 2707, 267, 713, 2619, 568, 1572, 606, 9101, 10739, 269, 18521, 1901, 25057, 616, 1634, 607, 595, 274, 815, 476, 271, 25057, 269, 595, 274, 568, 519, 8984, 1648, 267, 815, 910, 14875, 270, 273, 320, 267, 1141, 513, 568, 519, 10859, 2173, 1994, 7852, 267, 799, 568, 12808, 585, 1612, 20326, 24551, 780, 2252, 519, 1560, 814, 513, 6991, 3152, 982, 9101, 6991, 1287, 922, 2619, 786, 1106, 513, 5409, 26382, 18330, 543, 621, 786, 723, 606, 4430, 5409, 26382, 6991, 267, 6697, 547, 519, 3063, 1648, 519, 1560, 814, 269, 589, 5266, 1507, 3063, 18232, 8686, 1657, 602, 2877, 547, 17108, 547, 519, 9101, 3432, 666, 1267, 538, 513, 5266, 1804, 3432, 693, 20581, 269, 2368, 20771, 812, 4141, 12320, 637, 1118, 946, 540, 713, 1249, 269, 1280, 1383, 267, 693, 513, 1747, 1141, 9101, 3432, 568, 476, 1556, 269, 273, 1109, 14790, 4882, 267, 519, 1840, 540, 476, 271, 269, 275, 1109, 14790, 4882, 11729, 513, 5409, 26382, 4430, 3432, 540, 476, 274, 269, 6349, 1109, 14790, 4882, 1384, 21851, 6234, 642, 18155, 13727, 7684, 284, 3189, 6912, 2715, 309, 3867, 273, 18511, 346, 341, 3709, 324, 3686, 3867, 273, 3686, 13157, 3189, 6912, 2715, 263, 1556, 269, 277, 3189, 3667, 346, 5998, 4882, 3686, 22722, 273, 18511, 263, 1556, 269, 273, 3189, 3667, 346, 5998, 4882, 3686, 22722, 273, 3686, 4153, 13627, 476, 274, 269, 6349, 3189, 3667, 346, 5998, 4882, 3686, 269, 10592, 2252, 513, 1560, 538, 9764, 10739, 630, 528, 693, 519, 31971, 2355, 529, 540, 606, 14248, 18967, 673, 10739, 264, 5787, 919, 2059, 922, 4287, 540, 2951, 547, 9101, 6991, 267, 519, 1448, 540, 10231, 786, 1106, 519, 31971, 2355, 529, 540, 519, 9101, 18330, 269, 634, 22638, 4287, 540, 2951, 786, 581, 693, 476, 3445, 5232, 547, 519, 4287, 693, 519, 1448, 540, 10231, 269, 1403, 519, 1560, 5787, 919, 547, 3564, 9101, 6991, 519, 22638, 4287, 540, 2951, 786, 581, 693, 513, 4130, 5086, 267, 543, 8612, 676, 835, 540, 519, 29297, 4925, 540, 519, 5409, 26382, 18330, 621, 568, 1631, 2921, 269, 901, 1797, 519, 12557, 540, 519, 10231, 568, 2565, 952, 519, 9837, 568, 547, 9101, 538, 513, 1880, 4287, 780, 2252, 519, 3432, 693, 31971, 2355, 529, 568, 642, 267, 1287, 519, 26137, 640, 540, 519, 18330, 568, 2016, 676, 1384, 21851, 6234, 552, 284, 273, 17635, 23218, 3709, 324, 16585, 3867, 273, 18511, 272, 10592, 1607, 568, 4570, 585, 14248, 18967, 673, 267, 1612, 20326, 267, 543, 5409, 26382, 24551, 269, 1403, 519, 18330, 568, 5409, 26382, 610, 1612, 20326, 267, 621, 786, 29297, 582, 1227, 1935, 606, 5086, 12276, 6234, 1422, 9064, 476, 4151, 689, 519, 4287, 693, 31971, 2355, 529, 267, 609, 692, 21851, 6234, 1422, 7562, 1422, 9064, 815, 272, 27160, 269, 10592, 763, 3432, 786, 29297, 582, 1227, 1935, 692, 21851, 6234, 11513, 6912, 2715, 341, 3867, 273, 18511, 341, 3709, 324, 8703, 273, 3686, 20467, 10592, 1012, 5903, 540, 9101, 29702, 692, 1103, 713, 3349, 267, 519, 2451, 11804, 3368, 3947, 519, 9101, 6991, 689, 519, 7298, 2627, 630, 6518, 949, 581, 31529, 607, 609, 18347, 585, 1383, 1070, 3448, 547, 519, 8998, 540, 519, 4541, 610, 7599, 630, 7474, 568, 267, 711, 3448, 547, 922, 3001, 2627, 1040, 769, 519, 1318, 11804, 3368, 267, 26890, 4016, 547, 519, 3432, 3448, 547, 519, 3844, 1560, 630, 1721, 1383, 519, 3141, 1070, 6466, 966, 974, 568, 519, 3432, 630, 520, 519, 7298, 2627, 540, 519, 4130, 1560, 264, 3448, 547, 519, 4130, 1560, 630, 17839, 564, 610, 7599, 6393, 19613, 28731, 547, 26890, 630, 14790, 4882, 25011, 1321, 316, 19715, 28731, 547, 26890, 630, 14790, 4882, 25011, 1321, 316, 3590, 9101, 267, 966, 974, 630, 14790, 4882, 264, 2201, 519, 6129, 634, 6129, 781, 8904, 476, 277, 1704, 269, 276, 2201, 22358, 22358, 781, 8904, 476, 275, 269, 1839, 2311, 22358, 634, 6129, 781, 8904, 9625, 476, 6858, 269, 278, 9625, 476, 736, 269, 274, 2201, 19026, 19026, 781, 8904, 476, 1015, 269, 3607, 2311, 19026, 634, 6129, 781, 8904, 476, 5392, 269, 276, 476, 1704, 269, 279, 2201, 3047, 3047, 781, 8904, 476, 1556, 269, 5908, 2311, 3047, 634, 6129, 781, 8904, 476, 5655, 269, 272, 476, 1626, 269, 277, 2201, 519, 9855, 634, 9855, 781, 8904, 476, 273, 269, 4343, 2311, 519, 9855, 634, 3047, 781, 8904, 476, 272, 269, 275, 476, 273, 269, 5655, 2201, 9370, 9370, 262, 8904, 476, 276, 269, 6734, 2311, 9370, 634, 6129, 781, 8904, 476, 4097, 269, 272, 476, 1556, 269, 273, 2201, 9919, 637, 9919, 637, 781, 8904, 476, 271, 269, 7906, 2311, 9919, 637, 634, 6129, 781, 8904, 476, 1839, 269, 274, 476, 278, 269, 275, 2201, 18347, 18347, 781, 8904, 476, 2568, 269, 736, 2311, 18347, 634, 6129, 781, 8904, 476, 1240, 269, 276, 476, 2568, 269, 275, 2201, 594, 334, 594, 334, 781, 8904, 476, 273, 269, 4649, 279, 2311, 594, 334, 18347, 781, 8904, 476, 2190, 269, 276, 476, 278, 269, 277, 2201, 16402, 11985, 16402, 11985, 781, 8904, 476, 273, 269, 28276, 2311, 16402, 11985, 18347, 781, 8904, 476, 866, 269, 275, 476, 277, 269, 271, 2201, 717, 1415, 4364, 324, 717, 1415, 4364, 324, 781, 8904, 476, 273, 269, 278, 6078, 2311, 717, 1415, 4364, 324, 18347, 781, 8904, 476, 1428, 269, 275, 476, 276, 269, 274, 2201, 11910, 626, 334, 11910, 626, 334, 781, 8904, 476, 273, 269, 24496, 2311, 11910, 626, 334, 18347, 781, 8904, 476, 1556, 269, 277, 476, 275, 269, 273, 2201, 21275, 21275, 781, 8904, 476, 3607, 269, 6021, 2311, 21275, 634, 6129, 781, 8904, 476, 1724, 269, 277, 476, 3607, 269, 274, 2201, 21419, 21419, 781, 8904, 476, 273, 269, 277, 4375, 2311, 21419, 21275, 781, 8904, 476, 278, 269, 279, 476, 274, 269, 276, 2201, 28800, 639, 28800, 639, 262, 8904, 476, 2641, 269, 4343, 2311, 28800, 639, 634, 6129, 781, 8904, 476, 280, 269, 277, 476, 2641, 269, 276, 2201, 3026, 31337, 3026, 31337, 781, 8904, 476, 2537, 269, 6321, 2311, 3026, 31337, 634, 6129, 781, 8904, 476, 278, 269, 278, 476, 2537, 269, 278, 2201, 570, 761, 517, 570, 761, 517, 781, 8904, 476, 272, 269, 3393, 276, 2311, 570, 761, 517, 3026, 31337, 781, 8904, 476, 277, 269, 273, 476, 273, 269, 3451, 2201, 32624, 32624, 781, 8904, 476, 272, 269, 2537, 2311, 32624, 634, 6129, 781, 8904, 9625, 476, 277, 269, 277, 9625, 476, 273, 269, 274, 2311, 9891, 3590, 7523, 12519, 8953, 634, 27305, 10158, 781, 8904, 476, 5392, 273, 1700, 6795, 275, 314, 1724, 6012, 1691, 316, 2201, 519, 2680, 16880, 589, 3109, 8559, 781, 8904, 476, 26482, 267, 8064, 273, 269, 3393, 279, 630, 14588, 539, 540, 1769, 2020, 763, 2063, 1079, 9587, 786, 4096, 10502, 1141, 538, 10739, 9101, 6991, 568, 6603, 267, 607, 519, 25057, 616, 711, 4010, 9764, 630, 31860, 22358, 543, 32624, 6393, 1012, 14216, 1516, 9101, 6991, 1210, 11810, 692, 4131, 717, 581, 519, 14965, 3586, 543, 1577, 631, 581, 519, 2527, 540, 519, 3618, 630, 528, 824, 1178, 10903, 908, 1560, 264, 543, 544, 581, 519, 2527, 540, 519, 29400, 1560, 610, 1788, 850, 269, 2311, 513, 3845, 678, 689, 519, 8998, 540, 28040, 2787, 519, 1560, 7959, 606, 10694, 3196, 692, 21851, 6234, 674, 284, 294, 3189, 2765, 2715, 300, 332, 2410, 337, 3867, 273, 3686, 20467, 10592, 763, 960, 2877, 547, 1847, 519, 1560, 936, 513, 1507, 3845, 1743, 1996, 713, 3196, 568, 4061, 2016, 676, 692, 21851, 6234, 546, 310, 284, 293, 20867, 20142, 284, 294, 3189, 2765, 2715, 300, 332, 2410, 337, 3867, 273, 3686, 4153, 267, 20142, 269, 10592, 763, 2698, 960, 2877, 547, 1847, 519, 1560, 689, 519, 2627, 678, 271, 540, 519, 1178, 10903, 908, 1560, 547, 20581, 568, 1287, 314, 1428, 6540, 21851, 6234, 654, 7807, 842, 23214, 337, 3709, 271, 3686, 17353, 13727, 7684, 294, 3189, 2765, 2715, 300, 332, 2410, 337, 3867, 273, 3686, 4153, 267, 20142, 284, 294, 3189, 2765, 2715, 300, 332, 2410, 337, 3709, 271, 3686, 13157, 16936, 337, 3709, 271, 20467, 10592, 1103, 1931, 547, 798, 713, 960, 547, 3914, 20581, 267, 519, 1560, 781, 8766, 15452, 1648, 693, 22576, 1590, 6474, 713, 960, 267, 865, 519, 9101, 6991, 642, 271, 25389, 692, 21851, 6234, 11513, 2765, 2715, 272, 2410, 273, 3686, 332, 341, 3709, 271, 8703, 273, 13157, 294, 3189, 2765, 2715, 300, 332, 2410, 337, 3709, 271, 3686, 9574, 10592, 6518, 2164, 538, 692, 21851, 6234, 642, 3709, 271, 13157, 3189, 6912, 11513, 2765, 2715, 273, 14875, 2410, 337, 3709, 271, 3686, 3686, 284, 3189, 6912, 2715, 273, 23950, 3709, 271, 3686 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 268, 265, 268, 8193, 281, 583, 325, 268, 279, 20609, 7042, 258, 21211, 10429, 372, 7511, 10254, 510, 30522, 353, 454, 258, 13601, 10254, 510, 30522, 353, 418, 490, 485, 27936, 4486, 476, 1402, 454, 323, 545, 272, 815, 27835, 12571, 368, 19867, 379, 418, 479, 358, 9166, 1412, 420, 354, 379, 418, 372, 372, 18777, 364, 3299, 1412, 419, 377, 501, 420, 368, 363, 18809, 9166, 1412, 4970, 487, 18713, 377, 418, 376, 498, 18263, 487, 3299, 1412, 418, 505, 373, 421, 505, 359, 420, 488, 373, 9166, 834, 419, 374, 351, 418, 354, 376, 418, 351, 355, 2580, 1412, 12571, 368, 10533, 361, 418, 351, 497, 9166, 1412, 417, 482, 496, 22909, 501, 14035, 500, 9463, 366, 3299, 1412, 13161, 377, 26033, 494, 18021, 369, 9166, 1412, 418, 364, 368, 418, 369, 496, 25263, 510, 262, 8679, 258, 272, 476, 10254, 510, 30522, 353, 418, 490, 485, 27936, 4486, 8147, 23946, 370, 16533, 484, 10254, 510, 30522, 353, 7511, 7407, 29219, 420, 492, 371, 9463, 500, 28996, 8147, 11858, 502, 21928, 9463, 355, 14035, 500, 22047, 9463, 502, 19404, 493, 454, 14403, 272, 815, 546, 545, 272, 21014, 2891, 12571, 368, 19867, 379, 418, 479, 358, 5602, 2745, 263, 14403, 272, 264, 1948, 420, 354, 379, 418, 372, 372, 18777, 364, 454, 2745, 5560, 545, 272, 264, 1948, 346, 262, 418, 505, 373, 421, 505, 359, 420, 488, 373, 9166, 1412, 419, 374, 351, 418, 354, 376, 418, 351, 355, 3299, 1412, 12571, 368, 10533, 361, 418, 351, 497, 9166, 1412, 417, 482, 496, 22909, 501, 14035, 500, 9463, 366, 3299, 1412, 13161, 377, 26033, 494, 18021, 369, 9166, 1412, 418, 364, 368, 418, 369, 496, 25263, 510, 3299, 1412, 419, 377, 501, 420, 368, 363, 18809, 9166, 1412, 4970, 487, 18713, 377, 418, 376, 498, 18263, 487, 262, 10926, 258, 273, 476, 10254, 510, 30522, 353, 7511, 4486, 21251, 11858, 502, 21928, 7511, 418, 481, 483, 19540, 369, 8147, 9463, 480, 12255, 273, 21251, 19540, 503, 8147, 16533, 365, 418, 488, 354, 421, 498, 503, 454, 258, 6221, 273, 815, 546, 545, 272, 21014, 2891, 12571, 368, 19867, 379, 418, 479, 358, 273, 5602, 258, 7659, 13286, 281, 1412, 12571, 368, 19867, 379, 418, 479, 358, 273, 262, 476, 13127, 28187, 31563, 4486, 21251, 11858, 502, 21928, 8147, 16533, 365, 418, 488, 354, 421, 498, 503, 692, 258, 274, 476, 10254, 510, 30522, 353, 7511, 4486, 21251, 11858, 502, 21928, 7511, 418, 481, 483, 19540, 369, 8147, 9463, 480, 12255, 273, 19540, 503, 29072, 8147, 16533, 365, 13213, 498, 18713, 508, 9463, 480, 12255, 273, 8147, 11858, 502, 21928, 9463, 355, 14035, 500, 22047, 9463, 502, 19404, 493, 454, 323, 545, 272, 815, 27835, 12571, 368, 19867, 379, 418, 479, 358, 9166, 1412, 420, 354, 379, 418, 372, 372, 18777, 364, 3299, 1412, 419, 377, 501, 420, 368, 363, 18809, 9166, 1412, 4970, 487, 18713, 377, 418, 376, 498, 18263, 487, 3299, 1412, 418, 505, 373, 421, 505, 359, 420, 488, 373, 9166, 834, 419, 374, 351, 418, 354, 376, 418, 351, 355, 2580, 1412, 12571, 368, 10533, 361, 418, 351, 497, 9166, 1412, 417, 482, 496, 22909, 501, 14035, 500, 9463, 366, 3299, 1412, 13161, 377, 26033, 494, 18021, 369, 9166, 1412, 418, 364, 368, 418, 369, 496, 25263, 510, 262, 8679, 14403, 274, 815, 546, 545, 272, 21014, 2891, 12571, 368, 19867, 379, 418, 479, 358, 273, 14824, 418, 366, 350, 20069, 19867, 378, 28996, 12571, 368, 19867, 379, 418, 479, 358, 273, 5602, 258, 417, 28187, 31563, 9463, 480, 12255, 272, 268, 4486, 418, 366, 350, 20069, 19867, 378, 28996, 8147, 16533, 365, 25263, 504, 13213, 498, 18713, 508, 9463, 480, 12255, 273, 8147, 418, 488, 488, 9463, 480, 12255, 273, 7511, 29219, 11858, 502, 24662, 9463, 502, 19404, 493, 18809, 454, 258, 417, 28187, 31563, 9463, 480, 12255, 272, 268, 4486, 418, 366, 350, 20069, 19867, 378, 28996, 8147, 9463, 480, 12255, 273, 418, 366, 350, 20069, 19540, 503, 8147, 16533, 365, 25263, 504, 418, 488, 354, 421, 498, 503, 454, 2745, 263, 14403, 274, 264, 476, 1948, 418, 366, 350, 20069, 19867, 378, 28996, 12571, 368, 19867, 379, 418, 479, 358, 273, 476, 1948, 420, 490, 481, 418, 373, 500, 9463, 480, 12255, 273, 454, 2745, 5560, 545, 272, 994, 258, 346, 262, 12571, 368, 19867, 379, 418, 479, 358, 9166, 1412, 420, 354, 379, 418, 372, 372, 18777, 364, 3299, 1412, 13161, 377, 26033, 494, 18021, 369, 9166, 1412, 418, 364, 368, 418, 369, 496, 25263, 510, 3299, 1412, 418, 505, 373, 421, 505, 359, 420, 488, 373, 9166, 1412, 419, 374, 351, 418, 354, 376, 418, 351, 355, 3299, 1412, 419, 377, 501, 420, 368, 363, 18809, 9166, 1412, 4970, 487, 18713, 377, 418, 376, 498, 18263, 487, 3299, 1412, 12571, 368, 10533, 361, 418, 351, 497, 9166, 1412, 417, 482, 496, 22909, 501, 14035, 500, 9463, 366, 262, 8679, 2745, 2891, 1366, 955, 16647, 476, 272, 15419, 258, 476, 11590, 490, 18998, 421, 504, 493, 10951, 374, 10254, 510, 30522, 353, 22047, 421, 498, 362, 29219, 28098, 1402, 14403, 3890, 734, 23946, 370, 4970, 498, 16533, 484, 26266, 366, 14756, 493, 10254, 510, 30522, 353, 7511, 421, 498, 362, 29219, 28098, 11858, 502, 21928, 22047, 9463, 502, 19404, 493, 734, 17958, 7511, 23523, 486, 16533, 495, 27818, 421, 504, 493, 10951, 374, 21251, 23746, 26406, 356, 24724, 454, 323, 545, 272, 815, 27835, 12571, 368, 19867, 379, 418, 479, 358, 9166, 1412, 420, 354, 379, 418, 372, 372, 18777, 364, 3299, 1412, 419, 377, 501, 420, 368, 363, 18809, 9166, 1412, 4970, 487, 18713, 377, 418, 376, 498, 18263, 487, 3299, 1412, 418, 505, 373, 421, 505, 359, 420, 488, 373, 9166, 834, 419, 374, 351, 418, 354, 376, 418, 351, 355, 2580, 1412, 12571, 368, 10533, 361, 418, 351, 497, 9166, 1412, 417, 482, 496, 22909, 501, 14035, 500, 9463, 366, 3299, 1412, 13161, 377, 26033, 494, 18021, 369, 9166, 1412, 418, 364, 368, 418, 369, 496, 25263, 510, 262, 8679, 4958, 272, 815, 546, 545, 272, 21014, 14403, 4590, 2745, 263, 4958, 272, 264, 1948, 3488, 12571, 368, 19867, 379, 418, 479, 358, 3299, 1412, 420, 354, 379, 418, 372, 372, 18777, 364, 5073, 2745, 5560, 545, 272, 264, 1948, 346, 262, 13161, 377, 26033, 494, 18021, 369, 9166, 1412, 418, 364, 368, 418, 369, 496, 25263, 510, 3299, 1412, 419, 377, 501, 420, 368, 363, 18809, 9166, 1412, 4970, 487, 18713, 377, 418, 376, 498, 18263, 487, 3299, 1412, 418, 505, 373, 421, 505, 359, 420, 488, 373, 9166, 1412, 419, 374, 351, 418, 354, 376, 418, 351, 355, 3299, 1412, 12571, 368, 10533, 361, 418, 351, 497, 9166, 1412, 417, 482, 496, 22909, 501, 14035, 500, 9463, 366, 262, 8679, 2745, 2891, 1366, 955, 16647, 14403, 476, 273, 15419, 258, 4970, 487, 18998, 23437, 476, 10254, 510, 30522, 353, 418, 490, 485, 27936, 7511, 4486, 16043, 500, 26033, 483, 10254, 510, 30522, 353, 10533, 368, 14748, 21211, 10429, 372, 8147, 18713, 508, 418, 498, 370, 19540, 483, 11858, 502, 419, 358, 374, 25426, 368, 454, 258, 272, 476, 10254, 510, 30522, 353, 418, 490, 485, 27936, 7511, 4486, 454, 323, 545, 272, 815, 27835, 12571, 368, 19867, 379, 418, 479, 358, 9166, 1412, 420, 354, 379, 418, 372, 372, 18777, 364, 3299, 1412, 419, 377, 501, 420, 368, 363, 18809, 9166, 1412, 4970, 487, 18713, 377, 418, 376, 498, 18263, 487, 3299, 1412, 418, 505, 373, 421, 505, 359, 420, 488, 373, 9166, 834, 419, 374, 351, 418, 354, 376, 418, 351, 355, 2580, 1412, 12571, 368, 10533, 361, 418, 351, 497, 9166, 1412, 417, 482, 496, 22909, 501, 14035, 500, 9463, 366, 3299, 1412, 13161, 377, 26033, 494, 18021, 369, 9166, 1412, 418, 364, 368, 418, 369, 496, 25263, 510, 262, 8679, 23437, 546, 545, 272, 14277, 419, 377, 501, 420, 368, 363, 18809, 19312, 476, 1948, 10254, 510, 30522, 353, 418, 490, 485, 27936, 7511, 4486, 8147, 10524, 492, 26033, 490, 10254, 510, 30522, 353, 418, 490, 485, 27936, 421, 498, 362, 29219, 28098, 454, 2745, 5560, 545, 272, 264, 476, 1948, 346, 262, 418, 505, 373, 421, 505, 359, 420, 488, 373, 9166, 1412, 419, 374, 351, 418, 354, 376, 418, 351, 355, 3299, 1412, 12571, 368, 19867, 379, 418, 479, 358, 9166, 1412, 420, 354, 379, 418, 372, 372, 18777, 364, 3299, 1412, 12571, 368, 10533, 361, 418, 351, 497, 9166, 1412, 417, 482, 496, 22909, 501, 14035, 500, 9463, 366, 3299, 1412, 13161, 377, 26033, 494, 18021, 369, 9166, 1412, 418, 364, 368, 418, 369, 496, 25263, 510, 262, 8679, 2745, 2891, 1366, 955, 23437, 476, 274, 268, 272, 15419, 258, 273, 476, 10254, 510, 30522, 353, 10533, 368, 14748, 21211, 10429, 372, 454, 323, 545, 272, 815, 27835, 12571, 368, 19867, 379, 418, 479, 358, 9166, 1412, 420, 354, 379, 418, 372, 372, 18777, 364, 3299, 1412, 419, 377, 501, 420, 368, 363, 18809, 9166, 1412, 4970, 487, 18713, 377, 418, 376, 498, 18263, 487, 3299, 1412, 418, 505, 373, 421, 505, 359, 420, 488, 373, 9166, 834, 419, 374, 351, 418, 354, 376, 418, 351, 355, 2580, 1412, 12571, 368, 10533, 361, 418, 351, 497, 9166, 1412, 417, 482, 496, 22909, 501, 14035, 500, 9463, 366, 3299, 1412, 13161, 377, 26033, 494, 18021, 369, 9166, 1412, 418, 364, 368, 418, 369, 496, 25263, 510, 262, 8679, 258, 1642, 546, 545, 272, 476, 1948, 25203, 368, 26406, 354, 10254, 510, 30522, 353, 29072, 21211, 10429, 372, 8147, 18713, 508, 418, 498, 370, 29072, 19540, 483, 11858, 502, 419, 358, 374, 25426, 368, 454, 258, 1820, 5560, 545, 272, 264, 476, 1948, 11243, 13286, 281, 2012, 1412, 323, 545, 272, 262, 568, 711, 3989, 454, 2745, 2891, 1366, 955, 23437, 476, 274, 268, 273, 15419, 258, 18713, 505, 18998, 418, 372, 483, 419, 358, 374, 21211, 10429, 372, 454, 323, 545, 272, 815, 27835, 12571, 368, 19867, 379, 418, 479, 358, 9166, 1412, 420, 354, 379, 418, 372, 372, 18777, 364, 3299, 1412, 419, 377, 501, 420, 368, 363, 18809, 9166, 1412, 4970, 487, 18713, 377, 418, 376, 498, 18263, 487, 3299, 1412, 418, 505, 373, 421, 505, 359, 420, 488, 373, 9166, 834, 419, 374, 351, 418, 354, 376, 418, 351, 355, 2580, 1412, 12571, 368, 10533, 361, 418, 351, 497, 9166, 1412, 417, 482, 496, 22909, 501, 14035, 500, 9463, 366, 3299, 1412, 13161, 377, 26033, 494, 18021, 369, 9166, 1412, 418, 364, 368, 418, 369, 496, 25263, 510, 262, 8679, 323, 545, 272, 269, 27234, 3890, 476, 1948, 418, 372, 483, 419, 358, 374, 21211, 10429, 372, 8147, 19540, 483, 11858, 502, 419, 358, 374, 25426, 368, 10951, 359, 19404, 488, 418, 498, 378, 454, 2745, 5560, 545, 272, 264, 476, 1948, 346, 8679, 2745, 2891, 1366, 955, 27234, 476, 275, 15419, 12163, 21211, 10429, 372, 7511, 10254, 510, 30522, 353, 26233, 375, 14756, 497, 8147, 275, 26175, 491, 25913, 25622, 454, 272, 18998, 16647, 31107, 267, 314, 7407, 272, 8079, 476, 10254, 510, 30522, 353, 418, 490, 485, 27936, 7511, 4486, 8147, 23946, 370, 4970, 498, 13213, 498, 18713, 508, 26266, 366, 14756, 493, 10254, 510, 30522, 353, 7511, 7407, 734, 17958, 7511, 20001, 481, 14035, 504, 454, 825, 17276, 367, 357, 418, 482, 493, 30536, 16088, 417, 28187, 31563, 28884, 10254, 510, 30522, 353, 7511, 4486, 8147, 21251, 11858, 502, 21928, 8147, 417, 28187, 31563, 418, 490, 485, 27936, 29072, 9463, 480, 12255, 273, 8147, 10254, 503, 13213, 498, 18713, 508, 9463, 480, 12255, 273, 454, 2018, 13127, 28187, 31563, 28884, 10254, 510, 30522, 353, 7511, 4486, 8147, 21251, 11858, 502, 21928, 8147, 4970, 498, 418, 366, 350, 20069, 418, 490, 485, 27936, 9463, 480, 12255, 273, 8147, 10254, 503, 418, 488, 354, 421, 498, 503, 454, 273, 18998, 16647, 14403, 3890, 476, 17276, 366, 350, 20069, 9463, 480, 12255, 8147, 421, 504, 493, 10951, 374, 10254, 510, 30522, 353, 10524, 375, 418, 482, 493, 7511, 4486, 8147, 23946, 370, 4970, 498, 13213, 498, 18713, 508, 26266, 366, 14756, 493, 10254, 510, 30522, 353, 7511, 7407, 734, 17958, 7511, 23523, 486, 16533, 495, 454, 274, 18998, 23437, 476, 10254, 510, 30522, 353, 418, 490, 485, 27936, 7511, 4486, 16043, 500, 26033, 483, 10254, 510, 30522, 353, 10533, 368, 14748, 21211, 10429, 372, 27818, 19540, 483, 11858, 502, 26266, 366, 14756, 493, 19404, 488, 418 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1422, 333, 257, 26444, 17264, 834, 2791, 666, 849, 2119, 7401, 779, 543, 12897, 855, 4986, 1568, 607, 1434, 607, 23028, 4799, 1038, 6032, 815, 834, 290, 2784, 548, 1698, 568, 11207, 20027, 543, 786, 979, 2476, 593, 922, 1378, 4166, 269, 1280, 1631, 267, 31576, 5622, 532, 519, 21435, 540, 519, 4816, 1422, 333, 257, 26444, 17264, 834, 663, 17678, 1131, 849, 948, 4840, 1038, 10372, 318, 1724, 318, 2190, 318, 933, 4060, 815, 1496, 330, 330, 267, 26270, 267, 6515, 267, 562, 333, 267, 522, 334, 267, 6032, 6540, 1038, 585, 1535, 343, 538, 2039, 630, 29558, 21201, 318, 4596, 7419, 307, 2187, 3546, 1820, 19629, 333, 257, 266, 5079, 314, 16282, 316, 1341, 834, 834, 266, 2042, 318, 1724, 318, 2190, 318, 933, 4060, 314, 16282, 7481, 3546, 942, 4732, 2748, 263, 272, 994, 1038, 1820, 19629, 333, 291, 7183, 540, 891, 257, 266, 27719, 333, 5602, 1038, 6161, 815, 3403, 2891, 288, 267, 645, 267, 595, 610, 667, 286, 1422, 333, 15419, 1038, 952, 6161, 2652, 834, 291, 257, 610, 6161, 2652, 834, 323, 13426, 2018, 1820, 19629, 333, 1692, 827, 891, 286, 5602, 2018, 585, 1535, 343, 538, 2039, 263, 29558, 21201, 318, 4596, 7419, 307, 2187, 3546, 1820, 19629, 333, 257, 266, 5079, 314, 16282, 316, 1341, 834, 834, 1341, 2042, 318, 1724, 318, 2190, 318, 933, 4060, 314, 16282, 266, 8863, 302, 21201, 318, 4596, 7419, 307, 7481, 3546, 942, 4732, 2748, 263, 272, 994, 2018, 1820, 19629, 333, 291, 7183, 540, 891, 257, 1341, 27719, 333, 5602, 2018, 6161, 273, 815, 3403, 2891, 288, 267, 645, 267, 595, 610, 667, 286, 1422, 333, 5602, 2018, 952, 6161, 273, 2652, 834, 291, 257, 610, 6161, 273, 2652, 834, 323, 13426, 3546, 1820, 19629, 333, 296, 6415, 20994, 855, 594, 6415, 12922, 594, 666, 1405, 948, 596, 609, 713, 835, 907, 5602, 2018, 952, 6161, 273, 2652, 834, 288, 257, 610, 6161, 273, 2652, 834, 289, 257, 610, 6161, 273, 2652, 834, 290, 13426, 3546, 6161, 8548, 6260, 815, 2715, 257, 288, 9899, 476, 271, 266, 29558, 21201, 318, 4596, 7419, 307, 267, 834, 289, 9899, 476, 272, 266, 29558, 21201, 318, 4596, 7419, 307, 267, 834, 290, 9899, 476, 273, 266, 29558, 21201, 318, 4596, 7419, 307, 8679, 3546, 2990, 815, 6161, 8548, 6260, 10947, 263, 935, 1356, 333, 273, 994, 3546, 1820, 19629, 333, 257, 266, 5868, 318, 1724, 318, 2190, 318, 933, 4060, 314, 6570, 316, 1341, 10372, 318, 1724, 318, 2190, 318, 933, 4060, 314, 6570, 7481, 1038, 952, 6161, 2652, 834, 288, 257, 610, 6161, 2652, 834, 289, 257, 610, 6161, 2652, 834, 290, 13426, 2018, 6161, 8548, 6260, 815, 2715, 257, 288, 9899, 476, 271, 267, 834, 289, 9899, 476, 272, 267, 834, 290, 9899, 476, 273, 8679, 2018, 2990, 815, 6161, 8548, 6260, 10947, 263, 935, 1356, 333, 994, 2018, 1820, 19629, 333, 257, 266, 5868, 318, 1724, 318, 2190, 318, 933, 4060, 314, 6570, 316, 1341, 10372, 318, 1724, 318, 2190, 318, 933, 4060, 314, 6570, 7481, 1038, 811, 318, 638, 5465, 28442, 318, 663, 318, 720, 2020, 3698, 811, 318, 638, 5465, 28442, 318, 663, 318, 720, 2187, 825, 2626, 815, 3403, 19629, 333, 2710, 596, 723, 811, 4145, 602, 594, 666, 948, 596, 609, 286, 8786, 610, 1100, 5225, 907, 2433, 264, 1422, 333, 5602, 825, 952, 2626, 2652, 834, 13433, 13426, 1038, 2012, 8217, 815, 1592, 28442, 318, 663, 318, 720, 269, 12399, 15405, 1038, 2085, 815, 2012, 318, 663, 318, 720, 10947, 28442, 8217, 314, 271, 7481, 1038, 2012, 815, 2012, 8217, 314, 271, 2639, 1038, 2626, 273, 815, 3403, 19629, 333, 306, 675, 256, 1772, 621, 827, 834, 266, 2012, 1341, 834, 286, 8786, 610, 1100, 5225, 907, 1422, 333, 5602, 1038, 952, 2626, 273, 2652, 834, 13433, 13426, 2018, 21767, 28442, 318, 663, 318, 720, 994, 1038, 3116, 912, 2018, 1007, 321, 17879, 815, 2596, 318, 16769, 4590, 2018, 21767, 28956, 321, 17879, 2020, 3698, 24214, 6202, 10031, 825, 1948, 1683, 513, 24214, 6202, 3948, 547, 519, 3593, 950, 789, 3442, 972, 616, 1100, 811, 4145, 454, 825, 1820, 19629, 333, 25275, 25275, 5602, 825, 1820, 2891, 11039, 267, 4126, 594, 4312, 1044, 540, 930, 948, 269, 6153, 9939, 609, 707, 14951, 32405, 825, 1820, 2891, 25275, 25275, 15419, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2018, 8640, 2786, 318, 1260, 2692, 2652, 23574, 318, 1260, 2692, 912, 3546, 2132, 2786, 318, 1260, 2692, 267, 7435, 10611, 3198, 32578, 306, 14277, 4306, 6938, 20846, 14566, 4785, 295, 31116, 2018, 3116, 912, 3546, 2132, 23574, 318, 1260, 2692, 267, 7435, 10611, 3198, 32578, 306, 14277, 14566, 4785, 295, 31116, 1038, 8640, 2786, 318, 1260, 2692, 568, 711, 7183, 543, 23574, 318, 1260, 2692, 568, 7183, 912, 2018, 2132, 2786, 318, 1260, 2692, 267, 7435, 10611, 3198, 32578, 306, 14277, 4306, 6938, 20846, 31116, 1038, 8640, 2786, 318, 1260, 2692, 568, 7183, 543, 23574, 318, 1260, 2692, 568, 711, 7183, 912, 2018, 2132, 23574, 318, 1260, 2692, 267, 7435, 10611, 3198, 32578, 306, 14277, 14566, 4785, 295, 31116, 1038, 3116, 912, 2018, 6486, 267, 1954, 336, 8217, 815, 7435, 269, 13765, 6958, 516, 336, 4311, 267, 2407, 318, 8518, 994, 2018, 2185, 15058, 318, 11779, 815, 7435, 269, 13765, 6958, 712, 4311, 267, 2407, 318, 8518, 267, 6486, 267, 1954, 336, 8217, 994, 2018, 952, 2185, 15058, 318, 11779, 568, 711, 7183, 912, 3546, 2132, 2185, 15058, 318, 11779, 267, 7435, 10611, 3198, 32578, 306, 14277, 293, 21788, 31116, 2018, 1614, 15058, 318, 11779, 815, 7435, 269, 13765, 318, 22764, 4311, 267, 2407, 318, 8518, 267, 6486, 267, 1954, 336, 8217, 994, 2018, 6292, 815, 7435, 269, 13765, 7272, 1515, 4311, 267, 2407, 318, 8518, 267, 6486, 267, 1954, 336, 8217, 994, 2018, 952, 1614, 15058, 318, 11779, 568, 711, 7183, 543, 6292, 568, 711, 7183, 912, 3546, 2407, 318, 5264, 815, 1614, 15058, 318, 11779, 1341, 6292, 454, 3546, 2132, 2407, 318, 5264, 267, 7435, 10611, 3198, 32578, 306, 14277, 293, 26097, 9816, 27516, 31116, 2018, 8640, 1614, 15058, 318, 11779, 568, 711, 7183, 543, 6292, 568, 7183, 912, 3546, 2132, 1614, 15058, 318, 11779, 267, 7435, 10611, 3198, 32578, 306, 14277, 8025, 12767, 31116, 2018, 8640, 1614, 15058, 318, 11779, 568, 7183, 543, 6292, 568, 711, 7183, 912, 3546, 623, 4202, 815, 7435, 10947, 318, 718, 7272, 4202, 4311, 267, 2407, 318, 8518, 267, 6486, 267, 1954, 336, 8217, 994, 3546, 952, 7003, 27456, 4202, 264, 3436, 476, 273, 912, 7386, 2132, 623, 4202, 267, 7435, 10611, 3198, 32578, 306, 14277, 307, 310, 302, 5183, 7644, 31116, 3546, 3116, 912, 7386, 2132, 623, 4202, 267, 7435, 10611, 3198, 32578, 306, 14277, 5183, 7644, 31116, 2018, 3116, 912, 3546, 2132, 1582, 269, 14683, 267, 7435, 10611, 3198, 32578, 306, 14277, 306, 5058, 4041, 257, 6540, 825, 1219, 2638, 14067, 571, 697, 4311, 267, 6486, 2187, 1038, 1376, 267, 1439, 815, 476, 271, 267, 476, 276, 454, 1038, 1247, 1439, 10922, 7003, 6262, 1841, 2187, 2018, 3111, 815, 8771, 454, 2018, 10917, 815, 6486, 314, 11034, 281, 754, 2639, 2018, 1164, 815, 10917, 314, 11034, 4940, 17213, 532, 454, 2018, 585, 1775, 538, 2039, 263, 272, 267, 476, 276, 2187, 3546, 952, 1164, 910, 476, 272, 11203, 10917, 5157, 4940, 17213, 532, 912, 7386, 3111, 815, 6936, 454, 7386, 2736, 454, 3546, 3116, 912, 7386, 1164, 815, 10917, 5157, 4940, 17213, 532, 454, 2018, 952, 3111, 912, 3546, 1376, 6834, 476, 272, 454, 3546, 1439, 6834, 476, 272, 454, 3546, 10917, 815, 11713, 2018, 3116, 912, 3546, 2132, 10917, 692, 825, 1219, 2638, 318, 4148, 2313, 4311, 267, 3556, 8217, 2187, 1038, 15358, 5334, 7057, 815, 2715, 257, 14888, 4456, 2177, 9169, 9899, 476, 271, 267, 834, 12710, 308, 7034, 9899, 476, 271, 267, 834, 4047, 2752, 4811, 9899, 476, 271, 267, 834, 9915, 4696, 2464, 9899, 476, 271, 8679, 1038, 585, 1775, 538, 2039, 12759, 6262, 731, 8217, 15892, 2018, 9290, 815, 3556, 8217, 5157, 4940, 338, 3726, 454, 2018, 15358, 5334, 7057, 314, 338, 3726, 316, 6834, 476, 272, 454, 1038, 585, 512, 1575, 538, 15358, 5334, 7057, 29096, 10031, 2018, 952, 512, 1575, 314, 272, 316, 13843, 476, 276, 912, 3546, 23574, 5334, 3726, 815, 512, 1575, 314, 271, 2639, 3546, 23574, 318, 8518, 815, 11713, 3546, 1293, 815, 476, 271, 454, 3546, 1247, 7003, 263, 4148, 2313, 318, 8518, 264, 2999, 476, 276, 912, 7386, 952, 3556, 8217, 314, 12248, 4940, 338, 3726, 2652, 23574, 5334, 3726, 912, 13376, 23574, 318, 8518, 6910, 6262, 731, 8217, 314, 12248, 7481, 7386, 1293, 6834, 476, 272, 454, 3546, 2132, 23574, 318, 8518, 692, 825, 1219, 2638, 318, 5797, 531, 4311, 267, 2786, 267, 23574, 2187, 1038, 952, 2786, 11203, 23574, 610, 2786, 314, 271, 4940, 17213, 532, 11203, 476, 1691, 912, 2018, 2132, 8771, 454, 1038, 2132, 6936, 692, 825, 1219, 2638, 6958, 516, 336, 4311, 267, 6486, 2187, 1038, 6486, 267, 1954, 336, 815, 1496, 3910, 11713, 1038, 585, 1775, 538, 2039, 12759, 6262, 1841, 15892, 2018, 952, 6486, 5157, 4940, 15893, 711, 538, 6486, 912, 3546, 6486, 6910, 6262, 1841, 5157, 4940, 15893, 994, 3546, 1954, 336, 6910, 263, 272, 994, 2018, 3116, 912, 3546, 1954, 336, 314, 6352, 6600, 516, 336, 264, 910, 476, 272, 316, 6834, 476, 272, 454, 1038, 2132, 6486, 267, 1954, 336, 692, 825, 1219, 2638, 6958, 712, 4311, 267, 3556, 8217, 267, 6486, 267, 1954, 336, 2187, 1038, 952, 476, 275, 538, 1954, 336, 912, 2018, 2036, 334, 815, 11713, 2018, 4941, 6831, 731, 20311, 815, 6486, 314, 325, 516, 336, 28827, 263, 275, 22708, 2018, 585, 524, 538, 3556, 8217, 912, 3546, 952, 524, 8542, 3784, 2652, 4941, 6831, 731, 20311, 912, 7386, 2036, 334, 6910, 6262, 994, 2018, 2132, 2036, 334, 692, 825, 1219, 2638, 318, 22764, 4311, 267, 3556, 8217, 267, 6486, 267, 1954, 336, 2187, 1038, 952, 476, 274, 538, 1954, 336, 912, 2018, 2036, 334, 815, 11713, 2018, 4941, 6831, 731, 20311, 815, 6486, 314, 325, 516, 336, 28827, 263, 274, 22708, 2018, 585, 524, 538, 3556, 8217, 912, 3546, 952, 524, 8542, 3784, 2652, 4941, 6831, 731, 20311, 912, 7386, 2036, 334, 6910, 6262, 994, 2018, 2132, 2036, 334, 692, 825, 1219, 2638, 7272, 1515, 4311, 267, 3556, 8217, 267, 6486, 267, 1954, 336, 2187, 1038, 952, 476, 273, 538, 1954, 336, 912, 2018, 2036, 334, 815, 11713, 2018, 4941, 6831, 731, 20311, 815, 6486, 314, 325, 516, 336, 28827, 263, 273, 22708, 2018, 585, 524, 538, 3556, 8217, 912, 3546, 952, 524, 8542, 3784, 2652, 4941, 6831, 731, 20311, 912, 7386, 2036, 334, 6910, 6262, 994, 2018, 2132, 2036, 334, 692, 825, 1219, 1205, 318, 718, 7272, 4202, 4311, 267, 3556, 8217, 267, 6486, 267, 1954, 336, 2187, 1038, 8424, 815, 11713, 1038, 585, 1775, 538, 2039, 12759, 6600, 516, 336, 15892, 2018, 952, 1954, 336, 5157, 316, 2652, 476, 273, 912, 3546, 4941, 6831, 731, 20311, 815, 6486, 5157, 2639, 3546, 585, 795, 538, 2039, 12759, 6262, 731, 8217, 15892, 7386, 952, 3556, 8217, 14728, 4940, 15893, 2652, 4941, 6831, 731, 20311, 912, 13376, 8424, 6910, 6262, 731, 8217, 14728, 7481, 3546, 952, 7003, 9638, 4202, 264, 2652, 476, 275, 912, 7386, 2736, 454, 1038, 2132, 8424, 7531, 5035, 13863, 7272, 850, 912, 825, 645, 5456, 318, 13993, 18853, 815, 476, 2412, 454, 825, 15382, 17920, 318, 13993, 18853, 815, 476, 736, 454, 825, 5254, 2752, 16249, 815, 476, 1220, 271, 692, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 26716, 760, 7272, 850, 815, 13863, 7272, 850, 2529, 307, 2752, 16249, 454, 1038, 1582, 12500, 580, 318, 4565, 785, 815, 8771, 692, 825, 1219, 1039, 15461, 15220, 760, 7272, 850, 4311, 267, 562, 290, 4721, 2187, 1038, 1582, 26716, 760, 7272, 850, 6834, 562, 290, 4721, 692, 825, 1219, 1305, 318, 4565, 785, 338, 4311, 267, 14595, 2187, 1038, 952, 14595, 912, 2018, 1582, 12500, 580, 318, 4565, 785, 815, 6936, 692, 825, 1219, 914, 318, 4565, 785, 338, 4311, 267, 1494, 2187, 1038, 952, 1582, 12500, 580, 318, 4565, 785, 912, 2018, 1494, 14491, 15461, 7272, 582, 27456, 20269, 32156, 11065, 5456, 318, 13993, 18853, 994, 2018, 1582, 26716, 760, 7272, 850, 20699, 623, 20269, 32156, 11065, 5456, 318, 13993, 18853, 454, 1038, 3116, 912, 2018, 1494, 14491, 15461, 7272, 582, 27456, 20269, 32156, 2529, 300, 17920, 318, 13993, 18853, 994, 2018, 1582, 26716, 760, 7272, 850, 20699, 623, 20269, 32156, 2529, 300, 17920, 318, 13993, 18853, 454, 1038, 952, 1582, 26716, 760, 7272, 850, 2999, 476, 271, 912, 2018, 1582, 26716, 760, 7272, 850, 815, 476, 271, 7531, 5035, 623, 20269, 32156, 263, 21652, 267, 13863, 7272, 850, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 284, 3269, 2187, 1038, 7435, 14857, 8181, 9191, 1345, 994, 1038, 13863, 7272, 850, 14857, 8181, 9191, 1345, 994, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 718, 18425, 815, 8771, 454, 1038, 1582, 18994, 318, 7773, 1676, 815, 8771, 692, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 2132, 1582, 20508, 1341, 14307, 834, 1341, 1193, 4311, 26716, 760, 7272, 850, 264, 1341, 834, 13365, 5016, 825, 1219, 1305, 318, 553, 318, 7773, 1676, 4311, 2187, 1038, 1582, 18994, 318, 7773, 1676, 815, 6936, 692, 825, 1219, 19268, 318, 718, 4311, 2187, 1038, 1582, 269, 718, 18425, 815, 8771, 454, 1038, 1582, 269, 8518, 815, 11713, 1038, 1582, 269, 14683, 815, 11713, 1038, 1582, 18994, 318, 7773, 1676, 815, 8771, 692, 825, 1219, 914, 4311, 267, 9062, 7272, 582, 318, 2421, 267, 1494, 2187, 1038, 2025, 7272, 582, 815, 1494, 4877, 582, 454, 1038, 1007, 7272, 582, 815, 703, 263, 1245, 7272, 582, 264, 1341, 703, 263, 1245, 7272, 582, 264, 2608, 703, 9852, 738, 17586, 7272, 582, 318, 2421, 994, 1038, 1582, 26716, 760, 7272, 850, 20699, 630, 2908, 7272, 582, 910, 2025, 7272, 582, 994, 1038, 952, 1582, 26716, 760, 7272, 850, 10922, 476, 271, 912, 2018, 1582, 26716, 760, 7272, 850, 6834, 630, 2908, 7272, 582, 910, 2025, 7272, 582, 994, 2018, 1582, 269, 718, 1103, 9638, 582, 994, 1038, 3116, 912, 2018, 1494, 15630, 6831, 718, 10734, 564, 28956, 7272, 582, 910, 2025, 7272, 582, 994, 2018, 1494, 15630, 7272, 582, 28956, 7272, 582, 994, 2018, 1820, 4311, 20508, 1341, 834, 914, 338, 834, 1341, 1193, 28956, 7272, 582, 910, 2025, 7272, 582, 264, 1341, 834, 10590, 2020, 825, 1219, 1289, 4311, 267, 1494, 2187, 1038, 2025, 7272, 582, 815, 1494, 4877, 582, 454, 1038, 1289, 10734, 564, 815, 1494, 6983, 718, 10734, 564, 454, 1038, 1582, 26716, 760, 7272, 850, 20699, 1289, 10734, 564, 454, 1038, 952, 1582, 26716, 760, 7272, 850, 3436, 476, 271, 912, 2018, 1007, 7272, 582, 815, 2025, 7272, 582, 1341, 1289, 10734, 564, 454, 2018, 1494, 15630, 7272, 582, 28956, 7272, 582, 994, 2018, 1820, 4311, 20508, 1341, 834, 7125, 834, 1341, 1193, 6262, 718, 10734, 564, 264, 1341, 834, 32405, 1038, 3116, 912, 2018, 1582, 26716, 760, 7272, 850, 6834, 1289, 10734, 564, 454, 2018, 1582, 269, 718, 1103, 9638, 582, 2020, 825, 1219, 2638, 4311, 267, 1494, 2187, 1038, 1494, 269, 637, 564, 6831, 718, 10734, 564, 4590, 1038, 1820, 4311, 20508, 1341, 834, 11974, 10590, 2020, 825, 1219, 782, 1103, 4311, 267, 1494, 267, 824, 22561, 2187, 1038, 1582, 269, 718, 18425, 815, 6936, 454, 1038, 952, 824, 568, 7183, 610, 1582, 26716, 760, 7272, 850, 2999, 824, 26716, 760, 7272, 850, 912, 2018, 2025, 7272, 582, 815, 1494, 4877, 582, 454, 2018, 1007, 7272, 582, 815, 2025, 7272, 582, 1341, 1582, 26716, 760, 7272, 850, 454, 2018, 1494, 15630, 6831, 718, 10734, 564, 4311, 26716, 760, 7272, 850, 994, 2018, 1582, 26716, 760, 7272, 850, 815, 476, 271, 454, 2018, 1494, 15630, 7272, 582, 28956, 7272, 582, 994, 2018, 1820, 4311, 20508, 1341, 834, 568, 782, 538, 256, 645, 1115, 834, 1341, 1193, 28956, 7272, 582, 910, 2025, 7272, 582, 264, 1341, 834, 256, 19515, 1038, 3116, 912, 2018, 2025, 7272, 582, 815, 1494, 4877, 582, 454, 2018, 1007, 7272, 582, 815, 2025, 7272, 582, 1341, 824, 26716, 760, 7272, 850, 454, 2018, 1494, 15630, 6831, 718, 10734, 564, 263, 1278, 26716, 760, 7272, 850, 994, 2018, 1582, 26716, 760, 7272, 850, 20699, 824, 26716, 760, 7272, 850, 454, 2018, 1494, 15630, 7272, 582, 28956, 7272, 582, 994, 2018, 1820, 4311, 20508, 1341, 834, 568, 782, 538, 256, 645, 1115, 834, 1341, 1193, 28956, 7272, 582, 910, 2025, 7272, 582, 264, 1341, 834, 256, 834, 9239, 5035, 8000, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 4877, 582, 815, 476, 271, 454, 1038, 1582, 6983, 718, 10734, 564, 815, 476, 271, 692, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 2132, 834, 22025, 693, 834, 1341, 1193 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1412, 22207, 1412, 1412, 10086, 1412, 10086, 1412, 15947, 7386, 3136, 1477, 3546, 3116, 6769, 7386, 2736, 1477, 2018, 8640, 1990, 2652, 476, 1015, 6769, 3546, 1820, 2891, 29228, 814, 13615, 14744, 3546, 513, 815, 3403, 2891, 6701, 596, 4712, 547, 1404, 1586, 2433, 9811, 610, 1100, 14744, 3546, 952, 513, 2652, 1412, 13433, 262, 6769, 7386, 544, 815, 18358, 22207, 1412, 22207, 1412, 22207, 1412, 22207, 1412, 22207, 1412, 22207, 1412, 22207, 1412, 22207, 1412, 1412, 10086, 1412, 9948, 1477, 7386, 3136, 1477, 3546, 3116, 6769, 7386, 2736, 5897, 5897, 5897, 5897, 5897, 24653, 0, 5814, 942, 454, 5814, 6687, 549, 22422, 454, 5228, 2796, 12221, 1104, 2796, 2006, 4526, 692, 258, 6423, 4179, 2517, 4178, 269, 6193, 1886, 1042, 2109, 2593, 270, 24108, 270, 13681, 755, 268, 9953, 574, 1436, 585, 7778, 7531, 5035, 4518, 518, 20075, 826, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 11133, 318, 32305, 2187, 1038, 1582, 269, 28255, 815, 6687, 549, 22422, 8160, 534, 4526, 14061, 20075, 826, 4590, 1038, 9041, 815, 1496, 1582, 269, 28255, 269, 1584, 9217, 264, 585, 1775, 538, 2039, 16325, 318, 32305, 264, 6540, 825, 7711, 935, 3667, 2006, 4526, 454, 825, 1219, 1985, 318, 19989, 4311, 2187, 1038, 1699, 16182, 343, 815, 1582, 269, 28255, 10947, 4590, 1038, 6556, 1699, 16182, 343, 454, 1038, 1582, 269, 28255, 269, 1584, 263, 9690, 16182, 343, 9239, 5035, 23155, 1384, 825, 5727, 12414, 476, 535, 263, 1740, 518, 267, 2608, 16911, 267, 2878, 29220, 16911, 264, 883, 476, 575, 28949, 16911, 267, 2878, 29220, 16911, 994, 1038, 1924, 952, 596, 991, 547, 1289, 575, 3890, 513, 2603, 267, 2328, 513, 4528, 609, 835, 840, 1790, 2105, 4661, 1287, 798, 575, 815, 23155, 6600, 994, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 30775, 267, 1003, 318, 32305, 2187, 1038, 1582, 269, 28255, 815, 4518, 518, 20075, 826, 16325, 318, 32305, 284, 11133, 318, 32305, 994, 1038, 1582, 8807, 15635, 815, 30775, 692, 825, 1219, 6449, 322, 718, 9191, 1345, 267, 2608, 16911, 267, 2878, 29220, 16911, 2187, 1038, 609, 1582, 269, 28255, 12785, 318, 19989, 3890, 607, 11832, 912, 2018, 2132, 1582, 8807, 15635, 263, 1740, 518, 267, 265, 16911, 267, 1262, 29220, 16911, 9239, 258, 26402, 1383, 19601, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 23922, 825, 1376, 22710, 815, 942, 28333, 10797, 825, 1219, 20148, 9217, 267, 1535, 2187, 1038, 1820, 3488, 294, 30358, 6494, 1412, 266, 1598, 3287, 11924, 262, 547, 7746, 1412, 266, 1598, 9217, 4917, 1038, 942, 4732, 2748, 263, 276, 994, 1038, 2132, 1535, 692, 825, 4305, 815, 23155, 6357, 1601, 267, 1003, 318, 32305, 284, 276, 2020, 825, 689, 6687, 549, 22422, 1104, 623, 944, 454, 825, 609, 623, 944, 263, 276, 264, 607, 533, 912, 1038, 1820, 263, 533, 6230, 777, 6025, 2532, 267, 314, 272, 267, 274, 267, 275, 267, 273, 267, 274, 267, 272, 267, 278, 267, 274, 267, 273, 267, 272, 267, 275, 267, 272, 316, 3738, 25589, 825, 1820, 2891, 11742, 1491, 281, 834, 266, 1598, 263, 5503, 28333, 3890, 268, 11034, 22710, 4297, 0, 3698, 2196, 10031, 825, 1250, 27133, 272, 815, 2715, 257, 704, 320, 14824, 2006, 345, 3570, 2580, 834, 340, 9366, 2580, 834, 325, 25564, 2580, 834, 28447, 14824, 7666, 599, 19487, 257, 8679, 825, 1250, 27133, 273, 815, 2715, 257, 338, 663, 807, 14824, 332, 24546, 14824, 2006, 345, 3570, 14824, 680, 520, 8457, 14824, 340, 9366, 14824, 325, 1090, 321, 1132, 320, 257, 10926, 825, 9769, 815, 1250, 27133, 272, 1923, 1250, 27133, 273, 454, 825, 10167, 815, 1250, 27133, 272, 1299, 1250, 27133, 273, 454, 825, 546, 604, 2397, 815, 1250, 27133, 273, 910, 1250, 27133, 272, 454, 825, 1138, 13011, 5091, 604, 2397, 815, 1250, 27133, 272, 9745, 1250, 27133, 273, 692, 825, 1820, 263, 684, 542, 994, 825, 1820, 263, 5793, 7611, 994, 825, 1820, 5560, 604, 2397, 994, 825, 1820, 4433, 574, 13011, 5091, 604, 2397, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 2196, 3890, 0, 12163, 825, 769, 5124, 267, 1599, 568, 513, 1895, 540, 1644, 6898, 602, 1685, 513, 1808, 4305, 563, 825, 12793, 948, 2736, 938, 1982, 883, 4130, 543, 22606, 25098, 563, 825, 1306, 938, 1982, 9428, 3677, 543, 3677, 267, 3252, 1118, 621, 811, 6896, 543, 19242, 563, 825, 5015, 267, 621, 30417, 17279, 543, 2306, 3009, 23431, 563, 20701, 258, 12726, 9577, 454, 2745, 2891, 258, 12726, 1599, 538, 5124, 3009, 257, 9239, 3698, 9642, 318, 16838, 28840, 2187, 825, 952, 1297, 4939, 476, 273, 2652, 476, 271, 912, 1038, 1820, 28840, 267, 834, 284, 7089, 568, 1256, 32405, 825, 3116, 912, 1038, 1820, 28840, 267, 834, 284, 7089, 568, 9642, 10590, 9239, 13678, 921, 318, 9792, 815, 2039, 263, 272, 267, 476, 276, 994, 2745, 2891, 19530, 532, 2418, 540, 2241, 318, 9792, 815, 2580, 2241, 318, 9792, 994, 1721, 1142, 21223, 2211, 538, 2241, 318, 9792, 912, 825, 9642, 318, 16838, 16216, 778, 21223, 2211, 994, 2745, 2891, 296, 614, 566, 2944, 32405, 2745, 10797, 258, 12726, 9577, 454, 2745, 2891, 258, 12726, 1599, 538, 5124, 3009, 257, 9239, 3698, 5173, 318, 2399, 3645, 3287, 2187, 825, 952, 1535, 2652, 476, 272, 912, 1038, 2132, 476, 272, 454, 825, 3116, 912, 1038, 2132, 1535, 2608, 5173, 318, 2399, 3645, 3287, 268, 272, 9239, 11687, 532, 19056, 815, 476, 276, 454, 2745, 2891, 15542, 3645, 2418, 815, 2580, 5173, 318, 2399, 3645, 6025, 20535, 19056, 4297, 476, 1948, 476, 276, 1535, 476, 275, 1535, 476, 274, 1535, 476, 273, 1535, 476, 272, 454, 2745, 4590, 0, 5814, 11885, 607, 5286, 1477, 5228, 1085, 27251, 269, 15759, 3433, 1104, 522, 1372, 842, 1477, 5814, 21267, 28272, 607, 12301, 1477, 5814, 21267, 8807, 2682, 5897, 258, 19865, 476, 272, 1477, 327, 284, 1015, 1262, 268, 272, 1477, 339, 815, 5286, 30784, 1052, 263, 271, 267, 476, 1015, 266, 327, 267, 327, 3418, 301, 815, 7003, 6025, 10142, 330, 272, 815, 476, 271, 269, 276, 1477, 330, 273, 815, 476, 274, 1477, 332, 272, 815, 476, 273, 1477, 332, 273, 815, 476, 274, 1477, 320, 815, 737, 273, 270, 15615, 9852, 272, 3418, 321, 815, 630, 330, 272, 266, 330, 273, 8358, 15615, 9852, 272, 10142, 3698, 535, 4433, 25722, 8029, 825, 546, 338, 19049, 815, 5286, 25910, 12759, 4433, 17903, 825, 546, 338, 19049, 314, 271, 316, 815, 630, 320, 2608, 521, 314, 274, 8079, 910, 630, 321, 2608, 521, 314, 272, 29573, 825, 546, 338, 19049, 314, 272, 316, 815, 521, 314, 271, 15947, 825, 546, 338, 19049, 314, 273, 316, 815, 521, 314, 272, 316, 910, 521, 314, 274, 15947, 825, 546, 338, 19049, 314, 274, 316, 815, 521, 314, 273, 15947, 825, 2132, 546, 338, 19049, 1477, 672, 5897, 311, 815, 5286, 25910, 9230, 301, 267, 275, 17903, 311, 314, 271, 267, 281, 316, 815, 630, 271, 267, 271, 267, 271, 267, 274, 3418, 311, 1712, 815, 522, 1372, 842, 6600, 267, 2473, 314, 271, 267, 281, 3910, 512, 10142, 292, 815, 5286, 25910, 18217, 3418, 1721, 1775, 538, 2039, 18217, 8029, 825, 661, 5157, 316, 815, 476, 271, 269, 276, 2608, 16733, 332, 272, 16732, 311, 1712, 5157, 267, 271, 8079, 1262, 273, 264, 1341, 630, 332, 273, 16732, 311, 1712, 5157, 267, 273, 8079, 1262, 273, 264, 1341, 630, 330, 272, 16732, 311, 1712, 5157, 267, 272, 8079, 1262, 273, 264, 1341, 630, 330, 273, 16732, 311, 1712, 5157, 267, 274, 316, 268, 311, 1712, 5157, 267, 272, 8079, 1262, 273, 264, 10142, 14808, 815, 12301, 8807, 2682, 14052, 14808, 4732, 340, 696, 1856, 2891, 2750, 269, 476, 272, 281, 18289, 585, 513, 1062, 540, 1079, 20950, 14744, 10823, 19502, 6025, 267, 2473, 1712, 18020, 272, 3910, 6003, 6889, 259, 343, 318, 272, 6025, 7751, 14744, 10823, 19502, 6025, 267, 2473, 1712, 18020, 274, 3910, 6003, 6889, 259, 343, 318, 273, 6025, 7751, 14744, 10823, 19502, 6025, 267, 661, 267, 6003, 6889, 259, 292, 6025, 7751, 14744, 10823, 269, 5586, 754, 14052, 258, 2171, 666, 1294, 602, 1648, 568, 24721, 568, 661, 6025, 264, 3788, 3586, 1169, 942, 269, 5897, 258, 19865, 476, 273, 5897, 326, 815, 476, 280, 269, 279, 5897, 3698, 10264, 629, 4433, 25722, 8029, 825, 546, 338, 19049, 815, 5286, 25910, 12759, 4433, 17903, 825, 546, 338, 19049, 314, 271, 316, 815, 521, 314, 273, 15947, 825, 546, 338, 19049, 314, 272, 316, 815, 521, 314, 274, 15947, 825, 546, 338, 19049, 314, 273, 316, 815, 910, 273, 2608, 263, 338, 314, 273, 316, 2608, 521, 314, 274, 8079, 270, 521, 314, 272, 15947, 825, 546, 338, 19049, 314, 274, 316, 815, 630, 271, 269, 4037, 265, 521, 314, 272, 316, 2608, 630, 338, 314, 273, 316, 1262, 273, 4297, 910, 630, 271, 269, 1839, 265, 326, 264, 21506, 825, 2132, 546, 338, 19049, 1477, 672, 5897, 312, 815, 5286, 25910, 9230, 301, 267, 275, 17903, 312, 314, 271, 267, 281, 316, 815, 630, 271, 267, 275, 267, 272, 267, 271, 3418, 312, 1712, 815, 522, 1372, 842, 263, 1111, 629, 267, 962, 314, 271, 267, 281, 3910, 512, 10142, 313, 815, 5286, 25910, 9230, 301, 267, 275, 17903, 313, 314, 271, 267, 281, 316, 815, 630, 271, 267, 275, 267, 12639, 28460, 263, 276, 270, 277, 13776, 271, 3418, 313, 1712, 815, 522, 1372, 842, 263, 1111, 629, 267, 2098, 314, 271, 267, 281, 3910, 512, 3418, 5897, 14808, 815, 12301, 8807, 2682, 14052, 14808, 4732, 340, 696, 1856, 2891, 2750, 269, 476, 274, 325, 281, 18289, 585, 4399, 25346, 3189, 12978, 20731, 271, 284, 272, 259, 14744, 10823, 19502, 6025, 267, 962, 1712, 18020, 272, 3910, 6003, 6889, 259, 337, 6025, 7751, 585, 4399, 25346, 3189, 12978, 20731, 271, 284, 272, 259, 14744, 10823, 19502, 6025, 267, 962, 1712, 18020, 271, 3910, 6003, 6889, 7445, 12978, 6025, 7751, 585, 4399, 25346, 3189, 12978, 20731, 271, 284, 272, 259, 14744, 10823, 269, 5586, 754, 31476, 14808, 815, 12301, 8807, 2682, 14052, 14808, 4732, 340, 696, 1856, 2891, 2750, 269, 476, 274, 326, 281, 18289, 585, 4399, 25346, 3189, 12978, 20731, 271, 7807, 6912, 346, 276, 270, 277, 4151, 14744, 10823, 19502, 6025, 267, 2098, 1712, 18020, 272, 3910, 6003, 6889, 259, 337, 6025, 7751, 585, 4399, 25346, 3189, 12978, 20731, 271, 7807, 6912, 346, 276, 270, 277, 4151, 14744, 10823, 19502, 6025, 267, 2098, 1712, 18020, 271, 3910, 6003, 6889, 7445, 12978, 6025, 7751, 585, 4399, 25346, 3189, 12978, 20731, 271, 7807, 6912, 346, 276, 270, 277, 4151, 14744, 10823, 269, 5586, 754, 14052, 10823, 20481, 31476, 258, 2171, 5469, 602, 972, 568, 8766, 12761, 829, 942, 950, 3355, 6991, 538, 519, 943, 328, 4287, 568, 21762, 263, 276, 270, 277, 264, 982, 950, 621, 568, 476, 272, 269, 476, 0, 12163, 1607, 1966, 729, 4280, 676, 21912, 1103, 563, 288, 3774, 5161, 540, 1896, 9343, 540, 20398, 540, 1585, 8870, 13080, 543, 7833, 4463, 269, 2659, 3804, 568, 547, 1265, 513, 454, 3200, 673, 1899, 2469, 689, 519, 1283, 547, 519, 5377, 540, 519, 3774, 602, 11912, 998, 519, 1906, 652, 1297, 540, 20398, 563, 2252, 519, 1899, 4422, 998, 519, 6316, 1063, 1079, 20398, 267, 713, 1281, 711, 1293, 607, 513, 2759, 780, 2690, 1383, 267, 15475, 519, 3403, 568, 607, 5205, 267, 1141, 2418, 538, 1142, 4737, 2099, 519, 13080, 540, 20398, 538, 602, 4737, 1384, 314, 314, 274, 267, 476, 276, 267, 476, 272, 267, 476, 272, 16689, 1496, 273, 267, 476, 274, 267, 476, 274, 267, 476, 273, 16689, 1496, 276, 267, 476, 276, 16689, 1496, 275, 267, 476, 275, 267, 476, 273, 16689, 1496, 272, 267, 476, 274, 267, 476, 274, 267, 476, 274, 16689, 1496, 272, 267, 476, 272, 267, 476, 277, 267, 476, 272, 267, 476, 272, 27663, 763, 1655, 649, 666, 649, 798, 1934, 568, 547, 2721, 513, 1899, 1310, 519, 21632, 15839, 267, 799, 786, 1152, 2154, 5969, 998, 519, 454, 321, 9581, 538, 519, 3791, 543, 11359, 4737, 780, 11693, 606, 3403, 9967, 540, 15839, 13080, 585, 1142, 4737, 971, 607, 519, 835, 1657, 267, 2132, 519, 1906, 652, 1297, 540, 20398, 602, 454, 332, 755, 581, 2759, 547, 1711, 513, 7299, 1899, 563, 20701, 454, 13665, 815, 1496, 454, 825, 1496, 274, 267, 476, 276, 267, 476, 272, 267, 476, 272, 16689, 825, 1496, 273, 267, 476, 274, 267, 476, 274, 267, 476, 273, 16689, 825, 1496, 276, 267, 476, 276, 16689, 825 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]