Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 20293, 815, 476, 271, 454, 825, 3193, 5091, 3704, 815, 476, 271, 692, 825, 1982, 26077, 318, 20293, 815, 7183, 692, 825, 1247, 20313, 912, 1038, 1985, 26077, 267, 3268, 267, 1327, 815, 20313, 21014, 263, 271, 994, 1038, 4478, 9078, 665, 815, 27883, 32643, 314, 271, 3910, 1327, 314, 272, 316, 268, 272, 1070, 630, 32643, 314, 271, 3910, 1327, 314, 272, 27994, 272, 1070, 630, 32643, 314, 271, 316, 268, 272, 267, 1327, 314, 272, 25818, 630, 32643, 314, 271, 27994, 272, 267, 1327, 314, 272, 8079, 6540, 1038, 585, 1775, 267, 1985, 9078, 665, 538, 26246, 4433, 584, 1037, 532, 9078, 665, 267, 1376, 284, 272, 2187, 2018, 952, 1985, 9078, 665, 711, 538, 10272, 912, 3546, 1322, 815, 2271, 24927, 269, 5228, 318, 1410, 12371, 26077, 263, 10113, 26077, 994, 3546, 1322, 14491, 17750, 9217, 994, 3546, 3977, 815, 1322, 269, 14725, 9638, 1021, 318, 517, 318, 16059, 18989, 2020, 3546, 952, 3977, 15631, 272, 316, 2652, 476, 271, 912, 7386, 10272, 314, 10113, 9078, 665, 316, 815, 834, 258, 4840, 3546, 952, 3977, 15631, 272, 316, 2652, 476, 272, 912, 7386, 10272, 314, 10113, 9078, 665, 316, 815, 834, 4799, 7386, 20313, 6910, 9230, 2889, 326, 6983, 4878, 26077, 19572, 3268, 266, 272, 267, 1985, 9078, 665, 4917, 3546, 8640, 3977, 15631, 272, 316, 2652, 476, 273, 912, 7386, 10272, 314, 10113, 9078, 665, 316, 815, 834, 302, 4840, 7386, 3268, 15461, 318, 20293, 815, 3268, 266, 272, 454, 7386, 1982, 26077, 318, 20293, 815, 1322, 6983, 4878, 26077, 4590, 3546, 3116, 912, 7386, 3193, 5091, 3704, 815, 3193, 32384, 5091, 3704, 267, 3268, 2020, 825, 20313, 815, 11713, 825, 20313, 6910, 9230, 32491, 26077, 318, 20293, 267, 476, 271, 267, 630, 271, 267, 271, 21875, 825, 10272, 815, 2715, 263, 271, 267, 271, 2567, 834, 311, 257, 8679, 825, 3193, 5091, 3704, 815, 476, 271, 692, 825, 1247, 20313, 912, 1038, 1985, 26077, 267, 3268, 267, 1327, 815, 20313, 21014, 263, 271, 994, 1038, 4478, 9078, 665, 815, 27883, 32643, 314, 271, 3910, 1327, 314, 272, 316, 268, 272, 1070, 630, 32643, 314, 271, 3910, 1327, 314, 272, 27994, 272, 1070, 630, 32643, 314, 271, 316, 268, 272, 267, 1327, 314, 272, 25818, 630, 32643, 314, 271, 27994, 272, 267, 1327, 314, 272, 8079, 6540, 1038, 585, 1775, 267, 1985, 9078, 665, 538, 26246, 4433, 584, 1037, 532, 9078, 665, 267, 1376, 284, 272, 2187, 2018, 952, 1985, 9078, 665, 711, 538, 10272, 912, 3546, 1322, 815, 2271, 24927, 269, 5228, 318, 1410, 12371, 26077, 263, 10113, 26077, 994, 3546, 1322, 14491, 17750, 9217, 994, 3546, 3977, 815, 1322, 269, 14725, 9638, 1021, 318, 517, 318, 16059, 18989, 2020, 3546, 952, 3977, 15631, 272, 316, 2652, 476, 271, 912, 7386, 10272, 314, 10113, 9078, 665, 316, 815, 834, 258, 4840, 3546, 8640, 3977, 15631, 272, 316, 2652, 476, 272, 912, 7386, 10272, 314, 10113, 9078, 665, 316, 815, 834, 4799, 7386, 20313, 6910, 9230, 2889, 326, 6983, 4878, 26077, 19572, 3268, 266, 272, 267, 1985, 9078, 665, 4917, 3546, 8640, 3977, 15631, 272, 316, 2652, 476, 273, 912, 7386, 10272, 314, 10113, 9078, 665, 316, 815, 834, 302, 4840, 7386, 3268, 15461, 318, 20293, 815, 3268, 266, 272, 454, 3546, 3193, 5091, 3704, 815, 3193, 32384, 5091, 3704, 267, 3268, 266, 272, 2020, 825, 1820, 263, 25074, 15461, 318, 20293, 994, 825, 2721, 263, 6665, 1243, 994, 825, 1820, 32384, 5091, 3704, 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 ]
[ 274, 815, 1535, 5788, 1535, 5788, 1535, 692, 2252, 596, 6785, 519, 1871, 540, 1535, 267, 621, 1131, 581, 2009, 547, 12337, 782, 540, 519, 7060, 543, 1039, 873, 1927, 547, 1265, 519, 2040, 269, 1280, 1383, 267, 952, 1535, 1185, 519, 1871, 476, 273, 267, 5681, 1131, 581, 1384, 5681, 815, 476, 1839, 1341, 476, 2190, 1341, 476, 2537, 1341, 476, 2420, 1341, 476, 273, 1341, 476, 272, 815, 476, 3953, 1341, 476, 1626, 1341, 476, 279, 1341, 476, 275, 1341, 476, 273, 1341, 476, 272, 815, 476, 8287, 692, 10214, 1498, 621, 568, 2009, 547, 12337, 519, 2040, 607, 1175, 3254, 267, 621, 568, 1312, 32462, 543, 5470, 12155, 269, 18641, 972, 568, 513, 11741, 3830, 602, 1939, 525, 519, 2040, 1510, 17596, 547, 5173, 782, 540, 519, 7060, 269, 1677, 17589, 519, 4542, 267, 649, 1175, 991, 547, 5469, 1018, 4523, 950, 649, 9062, 1312, 5011, 540, 519, 3312, 3830, 676, 1535, 1384, 5681, 5788, 1535, 815, 630, 343, 276, 1341, 1535, 275, 1341, 1535, 274, 1341, 1535, 273, 1341, 1535, 1341, 476, 272, 264, 5788, 1535, 815, 1535, 277, 1341, 1535, 276, 1341, 1535, 275, 1341, 1535, 274, 1341, 1535, 273, 1341, 1535, 692, 5472, 540, 519, 23055, 2799, 676, 835, 269, 18564, 602, 1034, 540, 519, 2474, 593, 519, 1318, 2427, 540, 519, 3830, 616, 519, 1482, 607, 538, 519, 3312, 5681, 1657, 269, 769, 1249, 267, 789, 616, 782, 972, 4849, 585, 519, 1871, 476, 272, 267, 865, 1577, 781, 1039, 835, 547, 1312, 5011, 1384, 5681, 5788, 1535, 1341, 476, 272, 815, 1535, 277, 1341, 1535, 276, 1341, 1535, 275, 1341, 1535, 274, 1341, 1535, 273, 1341, 1535, 1341, 476, 272, 815, 1535, 277, 1341, 630, 343, 276, 1341, 1535, 275, 1341, 1535, 274, 1341, 1535, 273, 1341, 1535, 1341, 476, 272, 264, 815, 1535, 277, 1341, 5681, 692, 2171, 666, 30337, 713, 3830, 865, 602, 782, 2474, 5627, 5681, 1439, 909, 593, 519, 2451, 2427, 1384, 11764, 5788, 630, 343, 6567, 476, 272, 264, 815, 1535, 277, 6567, 476, 272, 692, 291, 1204, 532, 1312, 5011, 676, 630, 343, 6567, 476, 272, 264, 3947, 721, 513, 8799, 11741, 4542, 585, 519, 2040, 540, 15654, 7060, 540, 513, 1297, 1384, 5681, 815, 1535, 277, 6567, 476, 272, 1535, 6567, 476, 272, 692, 9616, 602, 519, 1379, 538, 519, 11741, 4542, 568, 1175, 835, 811, 982, 519, 5207, 1379, 538, 519, 2040, 602, 596, 616, 3843, 547, 3313, 269, 1403, 649, 6218, 519, 3830, 609, 1535, 1305, 3160, 547, 476, 273, 649, 1294, 602, 621, 1939, 525, 519, 2953, 2626, 1384, 5681, 815, 476, 2918, 6567, 476, 272, 815, 476, 5038, 6567, 476, 272, 815, 476, 8287, 476, 273, 6567, 476, 272, 476, 272, 692, 3080, 13946, 520, 547, 713, 568, 602, 519, 3830, 1281, 711, 960, 950, 1535, 1109, 284, 1109, 272, 269, 901, 568, 1317, 649, 5258, 1312, 5011, 540, 519, 1657, 3830, 676, 630, 343, 1109, 6629, 1109, 272, 1040, 1879, 1535, 1109, 284, 1109, 272, 267, 713, 2165, 27786, 547, 4642, 267, 543, 596, 666, 1405, 7941, 676, 4642, 269, 18641, 621, 568, 2653, 547, 1294, 1018, 519, 1871, 540, 519, 5681, 1131, 581, 952, 1535, 729, 3160, 547, 835, 269, 3962, 540, 519, 7060, 538, 519, 5681, 6218, 547, 476, 272, 267, 865, 519, 5681, 568, 1175, 519, 1297, 540, 2474, 3773, 1927, 267, 799, 538, 713, 2013, 1131, 581, 1109, 277, 267, 610, 835, 811, 982, 519, 5207, 20800, 538, 519, 5681, 269, 0, 17806, 1504, 11872, 630, 3607, 273, 267, 278, 6924, 994, 28657, 630, 15647, 267, 32180, 994, 4942, 3342, 4451, 630, 12893, 994, 15771, 299, 25090, 295, 272, 630, 275, 994, 6637, 692, 258, 20603, 5149, 476, 273, 15005, 692, 4391, 9664, 454, 22659, 14358, 692, 18662, 454, 17206, 540, 17842, 853, 269, 6723, 454, 23430, 454, 4942, 3342, 4451, 454, 17345, 454, 15771, 299, 25090, 295, 272, 454, 23178, 454, 301, 27323, 5576, 13145, 454, 306, 655, 6856, 454, 310, 5793, 692, 20373, 454, 7419, 3951, 476, 273, 590, 7728, 28718, 3201, 700, 8104, 2975, 281, 20219, 11586, 5357, 22003, 9569, 476, 273, 269, 272, 18040, 2969, 4959, 590, 7728, 28718, 3201, 700, 8104, 2975, 286, 13329, 1113, 20603, 630, 20784, 2567, 589, 7936, 540, 7954, 538, 799, 5220, 610, 3981, 1431, 616, 1031, 607, 519, 2596, 4559, 269, 898, 568, 849, 1572, 1160, 6570, 531, 20603, 610, 1160, 6570, 531, 20145, 269, 1284, 786, 946, 513, 12572, 1893, 602, 786, 1577, 721, 1847, 689, 2296, 5220, 547, 12572, 5220, 543, 1394, 1586, 269, 3962, 5168, 29705, 340, 762, 2296, 4845, 630, 8063, 906, 602, 666, 581, 3020, 610, 7301, 267, 2864, 982, 2055, 267, 9753, 267, 608, 743, 600, 725, 267, 3092, 4700, 786, 581, 8655, 513, 3090, 543, 1287, 649, 666, 946, 6698, 585, 9266, 12427, 547, 9192, 1346, 5220, 1927, 269, 13329, 1113, 7954, 2636, 721, 547, 1445, 593, 519, 9266, 1894, 1063, 5220, 269, 1635, 29544, 5168, 268, 6198, 5220, 540, 2067, 4654, 630, 12626, 267, 3943, 267, 13495, 18288, 2507, 1070, 649, 666, 1445, 593, 519, 9266, 3889, 1510, 1373, 26531, 676, 1018, 519, 5220, 1611, 269, 2986, 1576, 267, 519, 19319, 540, 713, 568, 602, 621, 5337, 2803, 519, 9266, 3889, 1369, 513, 4845, 269, 2368, 540, 1346, 9266, 1894, 1369, 5220, 786, 581, 9619, 538, 519, 2034, 851, 540, 519, 1576, 630, 303, 1042, 6510, 20603, 1040, 634, 9266, 1921, 1161, 602, 6443, 519, 2241, 5220, 616, 722, 501, 13700, 3578, 1922, 23341, 8072, 1107, 789, 7500, 593, 519, 5168, 268, 2418, 540, 5220, 2864, 982, 741, 10096, 269, 1280, 602, 547, 960, 267, 519, 10570, 5220, 991, 547, 581, 2241, 543, 630, 1721, 8106, 7954, 264, 536, 20884, 269, 634, 9266, 12427, 960, 593, 519, 2241, 5220, 538, 513, 9836, 1259, 3850, 721, 547, 5173, 519, 5168, 17032, 540, 1950, 5220, 689, 519, 5168, 268, 11161, 540, 2241, 5220, 269, 3973, 267, 649, 666, 946, 519, 2553, 540, 2366, 1113, 7954, 547, 3313, 2436, 5036, 540, 1950, 5220, 616, 5812, 543, 2436, 7440, 616, 4570, 610, 23380, 267, 3092, 269, 634, 5168, 1922, 23341, 2470, 540, 519, 9266, 12427, 540, 2366, 1113, 7954, 2306, 621, 5266, 2653, 547, 4612, 519, 9266, 4238, 6475, 1227, 610, 2964, 1227, 269, 722, 501, 19868, 545, 19235, 8072, 630, 13263, 267, 10758, 267, 10691, 2507, 264, 1852, 519, 2095, 540, 1344, 630, 13700, 3578, 268, 11161, 264, 543, 616, 1031, 538, 9266, 11387, 267, 26732, 543, 5904, 269, 1358, 960, 676, 2921, 519, 5168, 268, 11161, 540, 835, 610, 1079, 5220, 607, 3403, 543, 3977, 1154, 5168, 268, 2418, 2687, 547, 519, 9266, 1599, 540, 519, 722, 501, 22017, 8072, 269, 1635, 7011, 1782, 543, 25786, 971, 7954, 19235, 267, 865, 602, 519, 3977, 540, 835, 10766, 568, 519, 3403, 585, 1776, 267, 835, 666, 1628, 811, 543, 811, 1950, 7384, 3457, 269, 11569, 267, 596, 666, 1628, 2241, 7384, 6191, 856, 540, 11308, 2485, 362, 324, 951, 543, 22678, 10378, 3149, 267, 2531, 3626, 525, 267, 623, 3591, 1834, 16853, 267, 610, 856, 540, 6181, 334, 610, 2725, 764, 8457, 1547, 20603, 19235, 1500, 856, 540, 6181, 334, 1547, 9040, 12237, 3017, 2599, 1500, 540, 2725, 764, 8457, 2485, 362, 20472, 539, 676, 7033, 20484, 20603, 5149, 476, 273, 281, 13507, 1436, 476, 272, 9736, 1001, 272, 21208, 334, 5576, 13145, 476, 273, 269, 273, 5990, 20219, 11586, 5357, 306, 11123, 20793, 769, 2366, 1113, 7954, 649, 991, 1614, 2010, 540, 6698, 476, 272, 269, 29062, 585, 5220, 610, 3981, 1431, 281, 3854, 5022, 269, 476, 273, 269, 29062, 585, 519, 9266, 3347, 1063, 1346, 5220, 281, 9625, 17986, 503, 17986, 504, 25104, 362, 25104, 360, 476, 274, 269, 29062, 547, 1832, 1919, 2312, 543, 6896, 281, 23049, 543, 24324, 269, 898, 568, 1175, 513, 2339, 540, 15007, 799, 6698, 1205, 1031, 585, 5220, 543, 9266, 12427, 1107, 543, 972, 616, 1082, 1114, 14908, 269, 1809, 267, 519, 1114, 14908, 2671, 1082, 2934, 267, 543, 2899, 596, 1205, 1031, 547, 835, 1305, 540, 14908, 267, 621, 568, 2653, 547, 1174, 12572, 5220, 610, 7440, 3090, 1242, 2687, 547, 1114, 14908, 269, 22054, 16707, 281, 13317, 5022, 623, 998, 2098, 630, 5976, 610, 1510, 10230, 31941, 338, 264, 623, 267, 1627, 267, 681, 2560, 2098, 610, 649, 666, 946, 873, 609, 10230, 31941, 338, 865, 602, 649, 723, 606, 12808, 3761, 281, 623, 476, 272, 1627, 272, 267, 2560, 272, 623, 2073, 273, 304, 2073, 273, 305, 2073, 273, 2507, 3962, 4484, 23327, 513, 2347, 4845, 610, 20790, 269, 1452, 616, 722, 501, 30061, 5220, 8072, 267, 519, 2596, 2679, 7161, 540, 519, 12572, 1893, 649, 616, 1210, 269, 722, 501, 303, 8072, 1223, 21843, 722, 501, 5522, 6737, 568, 513, 5259, 14544, 269, 8072, 267, 722, 501, 29445, 568, 519, 16595, 27460, 538, 4884, 269, 8072, 610, 722, 501, 307, 528, 15193, 568, 538, 14411, 269, 8072, 610, 1022, 824, 4845, 269, 19452, 267, 722, 501, 304, 8072, 1223, 21843, 722, 501, 12901, 324, 11596, 3548, 30412, 269, 8072, 610, 722, 501, 22296, 5414, 14560, 14088, 269, 8072, 610, 722, 501, 5522, 6737, 568, 513, 5259, 14544, 269, 8072, 610, 1022, 824, 4845, 269, 4107, 12572, 4654, 946, 5022, 1107, 930, 946, 1507, 5022, 267, 1866, 946, 1698, 8558, 269, 1284, 786, 946, 519, 3854, 5022, 538, 519, 8545, 851, 540, 519, 9904, 585, 10570, 5220, 269, 13329, 1113, 4045, 1161, 610, 8298, 673, 7358, 2209, 281, 25104, 362, 16448, 531, 1129, 630, 604, 3267, 1287, 264, 19569, 378, 10598, 566, 1129, 630, 2254, 264, 17986, 503, 1230, 329, 4233, 1129, 630, 663, 264, 17986, 504, 2598, 329, 4233, 1129, 630, 528, 264, 25104, 360, 645, 545, 1180, 819, 531, 630, 604, 543, 1152, 952, 264, 1452, 7500, 4852, 716, 1227, 593, 5220, 2870, 7623, 12572, 5220, 630, 6202, 268, 11526, 12596, 1040, 4107, 540, 873, 616, 9352, 12427, 267, 1031, 547, 9192, 1079, 5220, 1927, 269, 519, 2258, 566, 1129, 568, 796, 776, 11346, 267, 5665, 593, 513, 2582, 4845, 269, 20603, 5149, 476, 273, 281, 13507, 1436, 476, 273, 9736, 1001, 272, 21208, 334, 5576, 13145, 769, 824, 9499, 610, 538, 10952, 4930, 596, 1522, 1294, 824, 6698, 269, 1452, 616, 824, 6698, 602, 1522, 581, 1031, 585, 519, 9266, 12427, 649, 616, 1210, 269, 10598, 566, 9625, 9625, 2485, 361, 16448, 531, 25104, 362, 25104, 362, 17986, 508, 17986, 487, 2598, 329, 4233, 17986, 504, 17986, 504, 1230, 329, 4233, 17986, 503, 17986, 503, 1299, 25104, 371, 645, 545, 1180, 819, 531, 25104, 360, 25104, 360, 25104, 374, 17986, 505, 9977, 12330, 610, 4858, 1188, 1115, 630, 1037, 23049, 270, 8001, 12330, 264, 1496, 338, 13645, 23049, 316, 1452, 1832, 1919, 2312, 538, 1950, 12572, 5220, 676, 10834, 519, 1931, 540, 5106, 585, 519, 9266, 12427, 269, 21894, 568, 3330, 513, 1305, 540, 23049, 610, 24324, 1590, 581, 2944, 1101, 269, 901, 568, 1175, 899, 538, 2979, 281, 476, 274, 25104, 368, 630, 273, 1341, 476, 275, 264, 568, 3160, 547, 476, 274, 25104, 368, 476, 277, 269, 4045, 532, 29941, 538, 18103, 2435, 5678, 1284, 1921, 5220, 610, 21291, 1927, 1217, 958, 609, 1913, 971, 607, 2048, 663, 8730, 2048, 528, 685, 543, 2048, 2254, 9957, 1280, 3236, 267, 2015, 519, 1739, 1079, 5220, 281, 476, 272, 269, 272, 898, 779, 986, 1456, 269, 476, 272, 269, 273, 898, 779, 2842, 344, 269, 1284, 946, 9266, 12427, 547, 1921, 873, 267, 547, 1106, 7623, 5220, 281, 476, 273, 269, 272, 898, 779, 986, 1456, 543, 621, 779, 2842, 344, 269, 476, 273, 269, 273, 898, 779, 986, 1456, 610, 621, 779, 2842, 344, 476, 273, 269, 274, 898, 779, 711, 2842, 344, 269, 634, 2495, 540, 891, 1007, 5220, 5673, 593, 519, 2495, 540, 519, 1079, 2241, 5220, 476, 272, 269, 272, 543, 476, 272, 269, 273, 543, 593, 519, 9266, 5106, 5340, 676, 519, 2262, 8220, 873, 269, 634, 3017, 1063, 476, 273, 269, 272, 543, 476, 273, 269, 273, 568, 1813, 1175, 547, 519, 3017, 538, 519, 9266, 12427, 269, 634, 9266, 24561, 630, 663, 267, 610, 264, 11887, 519, 1102, 22460, 1894, 1063, 5220, 269, 1280, 3236, 267, 689, 476, 273, 269, 272, 649, 666, 18505, 2901, 476, 272, 269, 272, 610, 476, 272, 269, 273, 269, 630, 2252, 649, 616, 5143, 602, 621, 568, 986, 1456, 543, 621, 779, 2842, 344, 267, 649, 666, 18505, 602, 621, 568, 986 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 272, 281, 11137, 540, 12794, 553, 4741, 585, 5398, 6796, 2439, 5970, 596, 2479, 9289, 875, 596, 666, 1118, 513, 3017, 538, 707, 2146, 286, 2107, 6148, 596, 1616, 547, 1451, 811, 827, 519, 1158, 1472, 596, 543, 1265, 2081, 547, 948, 2149, 621, 286, 634, 12794, 553, 4741, 585, 5398, 6796, 568, 1934, 547, 948, 2439, 763, 12794, 553, 4741, 585, 5398, 6796, 568, 513, 2027, 1747, 693, 18628, 2160, 1141, 1004, 2097, 1927, 547, 1451, 267, 2671, 2093, 267, 543, 1491, 2962, 547, 1118, 741, 2950, 1732, 269, 1358, 3494, 602, 3025, 814, 1945, 3407, 547, 3565, 267, 1100, 2339, 875, 2462, 610, 1507, 780, 4263, 519, 12794, 553, 4741, 267, 3214, 899, 596, 666, 1205, 3238, 538, 782, 12204, 540, 1187, 543, 6209, 3785, 269, 1411, 1522, 960, 609, 824, 3214, 547, 2973, 909, 513, 2199, 6288, 267, 2030, 4054, 547, 948, 519, 1604, 267, 610, 1256, 1376, 513, 5859, 547, 6318, 4656, 827, 606, 3390, 602, 6927, 547, 596, 780, 3719, 519, 12794, 553, 4741, 3884, 1405, 1175, 827, 3257, 1434, 23339, 1107, 621, 781, 849, 827, 1565, 1271, 1983, 899, 16542, 267, 5718, 267, 543, 1966, 6061, 269, 1879, 596, 7119, 538, 513, 1788, 693, 519, 12794, 553, 4741, 267, 596, 3513, 960, 5702, 609, 4079, 945, 786, 3391, 543, 1489, 596, 1169, 1900, 540, 519, 1259, 269, 1358, 3513, 948, 596, 1589, 9691, 827, 519, 2152, 596, 1416, 827, 267, 543, 1397, 596, 875, 547, 1544, 543, 14892, 513, 3811, 1788, 780, 3080, 540, 519, 1655, 1919, 827, 519, 12794, 553, 4741, 568, 602, 789, 10950, 3214, 540, 782, 6502, 543, 5759, 269, 6787, 596, 2811, 538, 9656, 610, 1164, 1153, 267, 972, 781, 2141, 513, 1259, 585, 596, 547, 1205, 3238, 543, 1118, 513, 2318, 1764, 269, 1656, 945, 6487, 1107, 596, 1522, 1256, 3605, 513, 6612, 585, 3028, 602, 16569, 513, 10715, 2439, 3383, 1018, 616, 596, 7996, 585, 286, 1403, 596, 2811, 4712, 547, 5066, 909, 707, 19492, 1407, 543, 1118, 513, 3017, 538, 707, 2146, 267, 519, 12794, 553, 4741, 585, 5398, 6796, 568, 519, 3501, 1747, 547, 1376, 269, 5192, 4712, 547, 1451, 267, 1332, 267, 543, 723, 1187, 607, 596, 1831, 513, 3020, 2983, 758, 573, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 10481, 758, 1749, 281, 3047, 7070, 4065, 257, 5497, 585, 1762, 1453, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 6796, 1565, 998, 2983, 758, 1749, 2580, 834, 274, 269, 8111, 14876, 3450, 547, 2038, 10026, 1053, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 275, 269, 9315, 1400, 6092, 13995, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 275, 269, 272, 269, 11137, 540, 12794, 553, 4741, 585, 5398, 6796, 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, 713, 1770, 568, 5497, 585, 1762, 1453, 2835, 267, 865, 946, 1360, 2241, 267, 4948, 1913, 543, 2453, 602, 513, 476, 1015, 4458, 6040, 1131, 3362, 1174, 269, 15681, 606, 2502, 543, 28292, 1650, 543, 2057, 1022, 1950, 2035, 610, 2930, 2474, 0, 6092, 5149, 281, 10289, 31297, 781, 1234, 4177, 321, 23167, 13957, 5158, 10588, 281, 589, 966, 2320, 656, 5843, 6523, 332, 540, 3864, 21094, 692, 296, 269, 4985, 692, 295, 27304, 781, 1234, 4177, 321, 23167, 3781, 5158, 8664, 267, 1419, 5219, 547, 607, 519, 834, 7562, 995, 13304, 2437, 6763, 856, 10838, 519, 16221, 540, 18845, 602, 5125, 3091, 269, 901, 24421, 908, 9913, 13398, 568, 4092, 538, 31297, 781, 853, 269, 6754, 328, 8664, 543, 5713, 607, 513, 22880, 4334, 547, 519, 3140, 19259, 608, 24231, 676, 4872, 971, 607, 29761, 543, 24545, 269, 634, 3483, 540, 713, 1576, 1770, 568, 547, 5490, 883, 519, 3638, 13795, 602, 13408, 31297, 781, 1234, 4177, 321, 23167, 267, 3695, 922, 2189, 10305, 267, 2686, 4644, 267, 543, 24567, 1761, 1369, 519, 6626, 2796, 540, 3864, 9235, 269, 1635, 6313, 1585, 18125, 540, 713, 7524, 3781, 5158, 8664, 267, 1053, 786, 2744, 3407, 4030, 883, 4207, 16837, 3466, 1247, 28798, 741, 2565, 3206, 1983, 780, 2862, 269, 8466, 11137, 692, 288, 269, 17959, 540, 519, 1234, 4177, 321, 23167, 692, 272, 269, 3245, 6928, 20761, 547, 9913, 630, 8182, 271, 338, 910, 2038, 476, 5002, 271, 338, 994, 320, 269, 634, 1234, 4177, 321, 23167, 729, 7620, 3964, 607, 513, 3135, 585, 18052, 5663, 547, 3761, 519, 11288, 2872, 563, 321, 269, 1306, 31297, 7960, 883, 513, 2101, 2823, 2749, 267, 519, 1858, 9927, 883, 513, 14297, 4099, 540, 16450, 543, 9913, 23695, 5097, 547, 25501, 593, 13272, 4734, 563, 322, 269, 634, 1101, 519, 11596, 267, 13063, 267, 543, 2156, 1492, 3149, 7153, 1282, 713, 1974, 267, 18413, 519, 5748, 585, 519, 1234, 4177, 321, 23167, 781, 2413, 3961, 563, 273, 269, 13303, 13567, 543, 2022, 21351, 16646, 630, 4350, 274, 268, 3707, 276, 282, 476, 3707, 276, 268, 3422, 271, 338, 994, 320, 269, 7201, 13303, 4341, 267, 519, 1234, 4177, 321, 23167, 2968, 24190, 609, 13030, 543, 28115, 2329, 267, 3056, 547, 7839, 21109, 543, 19479, 540, 1082, 24284, 563, 321, 269, 2991, 2622, 2782, 4083, 267, 519, 20466, 4229, 11280, 519, 1234, 4177, 321, 23167, 607, 606, 1055, 29438, 1080, 7997, 1813, 547, 922, 7681, 609, 7803, 2534, 563, 322, 269, 19573, 531, 556, 31141, 3646, 3459, 538, 7118, 652, 1282, 519, 476, 4198, 271, 338, 543, 476, 3422, 271, 338, 267, 28285, 538, 519, 11944, 540, 513, 14762, 2575, 6429, 602, 1131, 2663, 3132, 3486, 6801, 971, 607, 634, 19468, 956, 780, 289, 269, 8836, 19043, 692, 272, 269, 8535, 543, 2773, 6575, 454, 320, 269, 634, 10060, 4211, 331, 889, 267, 799, 13234, 689, 476, 3422, 273, 547, 476, 3422, 280, 267, 5129, 3984, 547, 19416, 6411, 1519, 634, 17029, 1782, 853, 2158, 267, 13343, 328, 26673, 3700, 267, 543, 634, 19468, 956, 563, 321, 269, 4653, 267, 28503, 899, 30421, 839, 3966, 267, 12928, 755, 267, 543, 7720, 14765, 11833, 3136, 547, 4482, 12021, 5159, 543, 6536, 6932, 13007, 563, 322, 269, 16316, 15976, 971, 607, 1234, 4177, 321, 23167, 16635, 543, 9049, 667, 1442, 6807, 2417, 4396, 1518, 31297, 781, 10639, 607, 513, 3905, 5523, 540, 7574, 5647, 563, 273, 269, 22388, 322, 11857, 5322, 454, 320, 269, 14118, 1113, 23658, 30743, 971, 607, 5309, 330, 4224, 267, 1099, 334, 267, 543, 11806, 266, 2950, 723, 1336, 15417, 2666, 538, 519, 1234, 4177, 321, 23167, 267, 7700, 547, 922, 11972, 9029, 585, 6107, 543, 4244, 19824, 563, 321, 269, 3502, 16124, 5238, 899, 519, 4469, 5446, 334, 11833, 543, 519, 2025, 6424, 342, 5995, 7128, 6728, 4196, 607, 15889, 23106, 540, 519, 8664, 781, 588, 528, 1221, 2250, 780, 7656, 269, 7351, 3763, 906, 543, 8892, 18370, 11072, 692, 288, 269, 12124, 20344, 7341, 692, 272, 269, 22918, 30826, 543, 4683, 25430, 3785, 454, 320, 269, 4975, 8387, 723, 8179, 547, 10880, 513, 3666, 1063, 8497, 519, 1234, 4177, 321, 23167, 781, 8978, 1915, 543, 5466, 4145, 827, 6760, 267, 6846, 5533, 267, 543, 2942, 11475, 2404, 609, 3023, 960, 563, 321, 269, 6201, 1331, 519, 26016, 1436, 540, 1975, 1408, 321, 644, 523, 680, 28739, 267, 519, 4070, 540, 1007, 20730, 543, 10821, 23838, 267, 543, 519, 10661, 540, 1920, 7888, 18845, 899, 22387, 4405, 654, 8974, 1633, 563, 273, 269, 20985, 12352, 543, 1857, 17376, 10675, 26136, 454, 320, 269, 10871, 4213, 267, 2146, 3906, 267, 543, 2229, 8041, 723, 8678, 4229, 547, 3895, 4264, 1646, 543, 3743, 9235, 2853, 538, 519, 1234, 4177, 321, 23167, 563, 321, 269, 9024, 328, 2510, 899, 519, 834, 25215, 976, 1043, 30007, 257, 5859, 2832, 547, 6318, 4656, 827, 3743, 4568, 4616, 267, 4638, 1072, 267, 543, 3106, 3800, 585, 1312, 14666, 543, 7264, 7567, 780, 289, 269, 16949, 609, 9962, 3864, 9235, 11387, 692, 272, 269, 9061, 1790, 668, 10056, 543, 21044, 4296, 454, 320, 269, 634, 1234, 4177, 321, 23167, 781, 3982, 3961, 1264, 906, 7404, 18353, 971, 607, 12670, 267, 10515, 32683, 267, 543, 24545, 267, 5356, 8436, 3309, 2833, 896, 519, 22597, 540, 3864, 2749, 9397, 563, 321, 269, 32655, 4798, 971, 607, 2661, 2575, 267, 4831, 322, 8590, 6561, 267, 543, 11265, 2261, 12069, 7520, 15774, 5610, 543, 23887, 6725, 2994, 563, 273, 269, 12694, 543, 3255, 454, 320, 269, 24367, 13597, 1247, 15268, 547, 9687, 15805, 7569, 6799, 1312, 2591, 543, 3255, 585, 8639, 16539, 538, 519, 1234, 4177, 321, 23167, 781, 2104, 563, 321, 269, 21344, 2208, 609, 6940, 3340, 6297, 4058, 267, 5499, 3435, 267, 543, 5571, 5188, 1063, 782, 6105, 3238, 780, 4353, 269, 10390, 692, 1103, 3932, 267, 713, 1576, 1770, 814, 25139, 1883, 3344, 540, 31297, 781, 1234, 4177, 321, 23167, 3781, 5158, 8664, 267, 17766, 1769, 593, 922, 3140, 4720, 267, 2686, 4644, 267, 543, 4207, 10083, 1369, 519, 6626, 9165, 540, 3864, 9235, 269, 3414, 2565, 2079, 543, 2502, 11407, 267, 1053, 723, 6591, 513, 4514, 7071, 585, 519, 10848, 7915, 538, 5883, 6422, 4683, 5624, 1247, 5807, 3743, 543, 8537, 4485, 547, 16837, 543, 9913, 269, 11086, 267, 519, 4245, 6508, 689, 4974, 31297, 781, 1234, 4177, 321, 23167, 3180, 7096, 6286, 585, 2104, 5640, 267, 9439, 267, 543, 12439, 8149, 547, 7393, 519, 2949, 21233, 1995, 2066, 2342, 781, 3309, 5044, 540, 18353, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8310, 8242, 593, 2904, 476, 1015, 267, 476, 1708, 274, 676, 654, 663, 1359, 938, 2622, 454, 763, 3854, 4872, 540, 2342, 616, 930, 540, 519, 1655, 4025, 547, 3643, 547, 2972, 1158, 11665, 1426, 267, 5863, 6189, 267, 5553, 540, 1686, 267, 543, 18512, 267, 3078, 642, 756, 525, 267, 609, 29761, 543, 24545, 1373, 1079, 540, 519, 1034, 2442, 1806, 563, 4913, 519, 1249, 3788, 602, 891, 4872, 616, 2965, 1360, 1114, 689, 1142, 824, 7498, 289, 6350, 17632, 267, 519, 32068, 3854, 267, 568, 1634, 1472, 519, 1158, 585, 922, 7168, 5656, 543, 28031, 5652, 21056, 267, 899, 519, 2494, 928, 7219, 623, 529, 32446, 610, 2311, 558, 1756, 2497, 269, 898, 779, 849, 835, 540, 519, 1655, 4025, 538, 519, 1158, 547, 2972, 8076, 32068, 530, 3530, 956, 267, 5743, 6853, 535, 1845, 267, 543, 796, 18566, 762, 669, 4377, 919, 563, 8649, 23165, 267, 29285, 267, 20206, 12885, 3388, 602, 2306, 519, 13814, 1390, 267, 689, 922, 9788, 25746, 17137, 547, 922, 18512, 3781, 5158, 269, 5590, 2066, 513, 3060, 540, 23668, 267, 713, 1148, 344, 543, 11636, 2749, 814, 513, 2898, 2603, 547, 2709, 585, 17631, 540, 782, 6502, 267, 689, 1148, 26847, 547, 10651, 563, 13828, 540, 891, 4872, 7584, 1851, 519, 1034, 2442, 4025, 547, 3643, 538, 1284, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 30728, 1315, 2342, 1315, 5125, 1315, 31297, 1234, 4177, 321, 23167, 13957, 5158, 10588, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7689, 7170, 281, 4197, 1325, 569, 338, 1222, 543, 14640, 7304, 659, 1143, 4065, 692, 29020, 281, 4841, 786, 1451, 827, 24343, 338, 1222, 543, 4550, 268, 2350, 1143, 2069, 676, 3695, 922, 4644, 267, 1620, 875, 621, 12211, 547, 873, 267, 543, 12423, 2081, 789, 666, 3565, 9797, 2509, 2870, 8537, 2950, 780, 7072, 912, 5331, 952, 3025, 5433, 20888, 267, 15197, 267, 543, 12595, 7488, 540, 741, 2960, 2681, 267, 2686, 4282, 267, 610, 4978, 286, 10251, 267, 602, 781, 711, 2141, 519, 2013, 269, 10801, 1686, 267, 1978, 2516, 540, 1004, 723, 4810, 15490, 2126, 1759, 593, 741, 3961, 269, 1306, 3743, 4961, 267, 621, 781, 1898, 547, 1174, 1018, 649, 666, 798, 547, 948, 1711, 513, 811, 12581, 2486, 269, 901, 5012, 721, 547, 1079, 1271, 2035, 910, 24343, 338, 1222, 543, 4550, 268, 2350, 1143, 2069, 269, 2913, 781, 4685, 883, 1018, 891, 2474, 1611, 2439, 4089, 476, 272, 281, 1548, 1281, 621, 1611, 547, 581, 606, 24343, 888, 2304, 24343, 568, 2576, 945, 6763, 909, 1996, 1514, 17536, 1182, 543, 7028, 12790, 2516, 269, 27469, 5431, 602, 4352, 789, 949, 711, 1995, 7130, 20250, 267, 789, 1869, 1404, 513, 2565, 1909, 538, 14957, 585, 14619, 543, 7862, 269, 1358, 6432, 267, 26003, 1125, 267, 543, 957, 950, 2556, 547, 2327, 3025, 7959, 3769, 269, 1677, 1831, 513, 1434, 24343, 267, 835, 2115, 547, 581, 1930, 16490, 267, 16614, 267, 543, 8149, 547, 1565, 827, 1114, 2833, 543, 5380, 780, 12244, 281, 9523, 2984, 540, 4583, 16167, 899, 25007, 20710, 2471, 267, 28266, 20088, 267, 610, 10793, 773, 20484, 269, 9181, 1946, 741, 3527, 20974, 1229, 543, 875, 789, 5280, 3142, 827, 1689, 780, 4089, 476, 273, 281, 1133, 16225, 532, 6456, 12583, 454, 15919, 267, 1978, 2984, 5749, 1405, 5143, 2614, 267, 1818, 621, 2352, 585, 721, 547, 5660, 3309, 10781, 269, 1280, 3236, 267, 972, 616, 9118, 4563, 31132, 267, 5159, 267, 3744, 267, 543, 3401, 4171, 18517, 723, 1044, 15763, 1813, 547, 11528, 12886, 269, 1635, 8362, 5275, 856, 891, 2150, 1245, 6386, 267, 649, 10802, 938, 7104, 1620, 543, 8661, 5892, 11389, 322, 1758, 1242, 15421, 780, 12244, 281, 3194, 14758, 8153, 5515, 689, 1585, 4529, 543, 2671, 741, 11121, 2984, 609, 707, 15032, 780, 4089, 476, 274, 281, 16871, 4550, 268, 2350, 1143, 2069, 454, 12901, 328, 268, 2350, 1143, 2069, 3322, 3384, 4656, 1472, 7292, 2152, 543, 5009, 3742, 3268, 547, 4161, 25641, 8456, 543, 5615, 269, 898, 3340, 14344, 602, 10168, 6818, 267, 1256, 952, 796, 4621, 19290, 267, 543, 2324, 1927, 547, 24905, 548, 7496, 602, 2061, 3160, 3255, 585, 782, 269, 5457, 267, 1373, 12809, 3884, 1405, 2614, 282, 2962, 568, 2838, 2439, 12244, 281, 8073, 19297, 610, 2110, 7044, 4687, 1883, 6835, 827, 4550, 268, 2350, 1143, 2069, 269, 18224, 873, 23217, 693, 1753, 610, 1369, 707, 2146, 780, 6962, 912, 3528, 4742, 1732, 16167, 543, 8508, 4550, 268, 2350, 1143, 2069, 267, 649, 6536, 8902, 3347, 267, 1628, 6793, 2950, 267, 543, 17362, 519, 1259, 585, 2104, 5481, 547, 8853, 269, 1924, 1577, 781, 3136, 1565, 267, 6947, 267, 543, 9117, 547, 1118, 519, 1158, 513, 811, 22205, 1747, 585, 3025, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14157, 269, 476, 273, 267, 3143, 269, 476, 275, 630, 310, 5793, 476, 1708, 272, 994, 290, 310, 10135, 270, 3722, 10135, 32000, 8274, 454, 4692, 6598, 1603, 8998, 9525, 454, 4407, 4516, 17767, 4563, 3778, 13600, 267, 607, 5675, 10418, 4648, 267, 621, 568, 938, 5539, 547, 2232, 519, 10616, 538, 938, 1378, 2069, 538, 5988, 543, 3564, 269, 5015, 267, 649, 1590, 13720, 519, 1249, 602, 891, 10616, 941, 2813, 17543, 547, 23868, 1565, 827, 4563, 17284, 267, 1312, 3140, 543, 4207, 269, 898, 568, 938, 960, 547, 1312, 2012, 4550, 5174, 331, 871, 10168, 607, 513, 3196, 602, 814, 8032, 938, 1702, 543, 938, 2361, 267, 543, 547, 1491, 909, 4550, 2350, 626, 2853, 547, 556, 6879, 1901, 938, 1702, 543, 938, 2361, 563, 6624, 4563, 5830, 267, 17024, 267, 5640, 267, 543, 7855, 723, 1500, 543, 616, 11173, 547, 1118, 1713, 7418, 547, 5675, 2578, 637, 267, 1312, 607, 4025, 540, 2259, 543, 607, 5624, 585, 17695, 1944, 269, 1284, 616, 2921, 713, 4316, 547, 24244, 713, 960, 543, 547, 11760, 543, 9684, 938, 4563, 9164, 585, 741, 7418, 267, 799, 723, 1044, 1500, 538, 5054, 602, 616, 1932, 1419, 17181, 776, 267, 20935, 267, 8322, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2704, 569, 338, 1222, 543, 14640, 7304, 659, 1143, 4065, 257, 607, 851, 540, 834, 16300, 13493, 1315, 7087, 1315, 26532, 16624, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 1012, 5384, 10022, 10439, 1436, 609, 5124, 692, 1103, 713, 3184, 267, 649, 786, 2263, 875, 547, 14650, 942, 3126, 1239, 1210, 5124, 543, 922, 8021, 267, 971, 607, 2387, 323, 520, 8135, 12452, 2387, 3901, 15003, 12452, 543, 2387, 335, 663, 553, 18269, 1284, 786, 1445, 593, 2870, 2842, 9782, 13602, 585, 513, 2016, 10471, 780, 2162, 7383, 532, 23905, 692, 5575, 267, 1577, 781, 1118, 2386, 649, 723, 519, 2556, 8021, 8704, 543, 16865, 1384, 3499, 7090, 454, 5814, 30220, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 454, 7884, 2162, 4197, 519, 13096, 553, 564, 692, 5978, 10471, 5161, 540, 2842, 3432, 543, 4287, 1239, 585, 513, 2016, 1974, 269, 634, 1239, 568, 6740, 538, 513, 21795, 4578, 20988, 267, 799, 568, 513, 1079, 8820, 13042, 1239, 2497, 609, 9587, 540, 5732, 1114, 2010, 780, 2162, 2776, 30112, 519, 4578, 692, 6524, 3308, 1944, 519, 1239, 267, 649, 991, 547, 840, 15263, 621, 269, 901, 2882, 23454, 519, 1239, 676, 1032, 543, 3923, 267, 543, 12719, 519, 3328, 2842, 3432, 543, 4287, 585, 1142, 1895, 780, 2162, 12861, 6489, 14986, 1773, 1824, 692, 288, 2842, 9782, 4729, 568, 513, 21370, 6041, 540, 2842, 3432, 543, 4287, 1239, 269, 898, 568, 1031, 547, 14650, 519, 3892, 540, 2842, 3432, 543, 4287, 936, 513, 1978, 1974, 269, 769, 713, 3296, 267, 649, 786, 1711, 513, 2842, 9782, 4729, 585, 1142, 3923, 538, 938, 10471, 780, 2971, 17553, 5455, 519, 7612, 692, 2171, 786, 946, 519, 2387, 3901, 15003, 319, 5399, 547, 1711, 938, 2842, 9782, 13602, 269, 3689, 267, 649, 991, 547, 1305, 909, 519, 4137, 543, 17887, 1384, 3499, 7090, 454, 14808, 815, 12301, 8807, 2682, 6600, 12127, 1125, 14352, 279, 267, 476, 279, 4917, 1314, 815, 4453, 14491, 5334, 889, 7120, 263, 9340, 267, 16879, 6889, 13388, 13427, 5602, 7884, 2080, 267, 649, 1711, 513, 1007, 4137, 609, 513, 2450, 540, 476, 279, 343, 279, 6279, 543, 1039, 513, 1016, 7120, 609, 513, 2842, 9782, 16879, 780, 2971, 18140, 1154, 519, 4578, 692, 9202, 267, 649, 786, 621, 4733, 936, 519, 2516, 538, 938, 10471, 543, 4729, 519, 2842, 3432, 543, 4287, 1239, 585, 1142, 3923, 1384, 3499, 7090, 454, 1721, 676, 19056, 267, 1895, 538, 17093, 3052, 4981, 2421, 8443, 4206, 28827, 13885, 792, 267, 17093, 28827, 269, 24629, 316, 2187, 825, 1948, 12433, 519, 3328, 2842, 3432, 543, 4287, 585, 519, 1895, 454, 825, 1285, 326, 5334, 32497, 815, 5286, 32557, 14116, 4981, 14277, 14588, 539, 257, 7481, 825, 1285, 326, 5091, 3925, 815, 5286, 32557, 14116, 4981, 14277, 323, 3925, 19312, 2020, 825, 1948, 18140, 519, 1239, 593, 519, 2842, 9782, 4729, 454, 825, 4949, 269, 8663, 263, 822, 326, 5091, 3925, 267, 1285, 326, 5334, 32497, 267, 2343, 539, 18989, 267, 6679, 284, 271, 269, 279, 267, 6316, 10233, 6889, 19009, 5602, 7884, 2080, 267, 649, 946, 519, 2387, 16766, 2421, 319, 1505, 540, 519, 21795, 4578, 20988, 547, 1895, 519, 1239, 676, 1032, 543, 3923, 269, 1280, 1142, 1895, 267, 649, 5173, 519, 3328, 2842, 3432, 543, 4287, 1210, 519, 2387, 11743, 319, 1505, 540, 519, 11885, 5399, 269, 7053, 267, 649, 946, 519, 2387, 8663, 319, 1505, 540, 519, 17887, 1843, 547, 4729, 519, 1239, 593, 519, 2842, 9782, 4729, 780, 2971, 17553, 519, 7170, 543, 26499, 692, 2414, 1118, 938, 2842, 9782, 13602, 811, 13181, 267, 649, 786, 1305, 519, 2140, 543, 10828, 1384, 3499, 7090, 454, 258, 12433, 519, 2140, 585, 519, 4729, 454, 19049, 815, 30220, 6155, 622, 263, 2421, 19056, 314, 271, 3910, 676, 19056, 314, 272, 3910, 476, 272, 994, 325, 31198, 815, 834, 260, 289, 257, 476, 1948, 13600, 454, 27583, 815, 24303, 269, 1598, 1111, 830, 6600, 31198, 994, 1314, 15630, 21234, 6025, 1856, 267, 13944, 4067, 6889, 6635, 658, 15419, 258, 5590, 519, 10828, 454, 1314, 269, 5586, 754, 4590, 7884, 2080, 267, 649, 946, 519, 2387, 11845, 319, 1505, 540, 519, 2387, 323, 520, 8135, 319, 5399, 547, 1711, 513, 4266, 1843, 585, 519, 1101, 1554, 540, 519, 3923, 269, 1284, 1287, 946, 519, 2387, 1598, 1111, 830, 319, 1505, 547, 3898, 519, 4266, 607, 513, 5569, 8204, 519, 3923, 269, 7053, 267, 649, 946, 519, 2387, 3553, 21234, 319, 1505, 540, 519, 17887, 1843, 547, 1305, 519, 2140, 540, 519, 4729, 543, 519, 2387, 5586, 754, 319, 1505, 547, 4159, 519, 10828, 780, 2971, 30540, 519, 7612, 692, 7661, 267, 649, 786, 4688, 519, 4137, 547, 513, 3758, 1384, 3499, 7090, 454, 258, 12433, 519, 32197, 585, 519, 4729, 454, 16344, 17575, 815, 834, 13388, 13427, 318, 260, 338, 26666, 257, 4939, 24303, 269, 1598, 1111, 830, 2891, 260, 312, 15419, 258, 16440, 519, 4137, 547, 513, 3758, 454, 10823, 4732, 1511, 14808, 6600, 32327, 994, 7884, 2080, 267, 649, 946, 519, 2387, 1598, 1111, 830, 319, 1505, 540, 519, 4266, 1843, 547, 3898, 519, 4266, 607, 513, 5569, 8204, 519, 1032, 269, 1284, 1287, 946, 519, 2387, 338, 1511, 14808, 319, 1505, 540, 519, 2387, 3901, 15003, 319, 5399, 547, 4688, 519, 4137, 547, 513, 3758, 609, 519, 7229, 32197, 780, 2162, 10390, 692, 1103, 713, 3184, 267, 649, 4121, 875, 547, 14650, 942, 3126, 1239, 1210, 5124, 543, 922, 8021, 269, 1284, 5059, 593, 2870, 2842, 9782, 13602, 585, 513, 2016, 10471, 269, 1284, 4988, 519, 1739, 3584, 1384, 268, 7383, 532, 8021, 454, 268, 4197, 519, 10471, 454, 268, 2776, 30112, 519, 1239, 454, 268, 12861, 2842, 9782, 13602, 454, 476, 910, 17553, 909, 519, 4137, 454, 476, 910, 18140, 1154, 519, 1239, 454, 476, 910, 17553, 519, 2140, 543, 10828, 454, 476, 910, 30540, 519, 4137, 692, 3528, 1739, 891, 3268, 267, 649, 941, 2111, 547, 1711, 13181, 2842, 9782, 13602, 602, 5280, 721, 14650, 519, 3892, 540, 2842, 3432, 543, 4287, 936, 513, 1978, 1974, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 338, 257, 4939, 630, 19049, 272, 267, 24303, 273, 994, 2018, 1948, 2140, 815, 834, 260, 6860, 323, 268, 260, 6349, 323, 257, 4939, 630, 2421, 19056, 314, 271, 3910, 676, 19056, 314, 272, 7481, 2018, 24303, 815, 30220, 6155, 622, 263, 2421, 19056, 314, 271, 3910, 676, 19056, 314, 272, 3910, 476, 272, 994, 2018, 535, 31198, 815, 834, 260, 289, 257, 476, 1948, 834, 260, 312, 4939, 289, 257, 476, 1948, 13600, 454, 2018, 2140, 815, 24303, 269, 1598, 1111, 830, 6600, 31198, 994, 2018, 4949, 15630, 21234, 6025, 1856, 267, 13944, 4067, 284, 325, 2632, 4067, 2020, 2018, 1948, 4949, 15630, 318, 5586, 754, 10797, 2018, 4453, 21234, 815, 24303, 269, 1598, 1111, 830, 2891, 260, 312, 8442, 476, 1948, 5729, 454, 2018, 4453, 4732, 340, 696, 1856, 6600, 580, 21234, 2020, 2018, 6967, 815, 630, 328, 1341, 15558, 1341, 476, 272, 264, 4939, 630, 333, 3712, 338, 2608, 562, 4900, 994, 2018, 952, 6967, 2652, 476, 271, 912, 3546, 4688, 6958, 2682, 6600, 580, 267, 7824, 267, 1397, 267, 4453, 21234, 2020, 1038, 952, 6967, 11203, 476, 271, 912, 2018, 4688, 6958, 2682, 6600, 580, 267, 7824, 267, 1397, 267, 4453, 21234, 2020, 1038, 1948, 942 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 581, 9513, 938, 11606, 269, 3371, 779, 930, 540, 519, 1434, 625, 596, 3580, 1265, 912, 307, 4176, 595, 1442, 18571, 31040, 9253, 976, 630, 322, 1075, 13246, 2507, 865, 20036, 26695, 8649, 5074, 267, 5144, 6954, 32425, 26258, 4354, 323, 454, 19102, 323, 1043, 9341, 2871, 6072, 11918, 454, 2662, 529, 4486, 595, 3757, 9440, 4039, 880, 454, 301, 20973, 710, 2549, 15756, 1729, 11918, 454, 307, 836, 344, 1773, 636, 11918, 454, 5978, 1360, 1655, 546, 650, 17292, 956, 454, 297, 11481, 26054, 808, 11481, 454, 8967, 5390, 808, 531, 777, 523, 334, 2961, 12783, 454, 21652, 3766, 3603, 267, 1753, 326, 3497, 5214, 670, 832, 518, 611, 880, 28397, 576, 454, 10817, 6072, 16199, 1407, 538, 11822, 5204, 14442, 454, 10817, 6072, 30854, 10945, 1107, 3548, 607, 568, 610, 2322, 873, 538, 19323, 5370, 267, 610, 6292, 609, 21100, 540, 10381, 269, 772, 7825, 332, 2336, 293, 549, 7999, 32425, 26258, 4236, 823, 18695, 454, 5978, 4583, 623, 727, 28699, 622, 717, 601, 6737, 454, 293, 549, 7999, 623, 727, 28699, 622, 1488, 2812, 267, 782, 4712, 547, 20057, 548, 593, 707, 19323, 5370, 610, 3575, 538, 513, 19997, 610, 8631, 532, 563, 28733, 267, 5863, 2871, 6072, 808, 11481, 454, 293, 549, 7999, 1773, 636, 267, 2871, 6072, 543, 3212, 778, 21100, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 23733, 1315, 20043, 1299, 2598, 1127, 1315, 623, 625, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 7705, 281, 19743, 7585, 256, 594, 4862, 596, 4682, 547, 3643, 707, 6264, 2742, 693, 519, 6413, 19108, 269, 1215, 729, 621, 2496, 7692, 281, 19850, 7705, 256, 898, 729, 2965, 2731, 8799, 1317, 789, 723, 713, 3579, 8773, 972, 1631, 269, 1411, 666, 2911, 547, 621, 543, 1256, 1118, 1148, 1927, 2439, 8334, 281, 26272, 267, 602, 4992, 5863, 256, 1924, 267, 798, 596, 1589, 11608, 1223, 2479, 798, 824, 1919, 899, 3425, 267, 971, 607, 1373, 3238, 538, 2883, 8852, 2496, 7692, 281, 4270, 267, 602, 781, 606, 4277, 2243, 269, 9320, 835, 1554, 267, 855, 1318, 1631, 267, 11608, 5749, 1405, 4359, 2614, 547, 4628, 1174, 782, 519, 10848, 3297, 2724, 6927, 269, 9578, 267, 3850, 11608, 547, 6023, 18083, 1131, 6318, 4145, 827, 3354, 543, 3972, 780, 8334, 281, 2334, 2306, 2631, 269, 1809, 1018, 952, 649, 1175, 1616, 519, 8773, 547, 948, 721, 4444, 1945, 1507, 2228, 1247, 649, 616, 11112, 3257, 1945, 3116, 2496, 7692, 281, 4634, 1287, 267, 621, 4991, 16602, 269, 5994, 952, 2576, 554, 2931, 883, 519, 1062, 1107, 945, 786, 581, 3743, 585, 1022, 9271, 286, 4746, 267, 950, 9140, 8631, 2228, 267, 3006, 596, 991, 547, 3858, 547, 1978, 3652, 543, 2175, 1354, 11264, 513, 6718, 269, 7605, 1824, 949, 711, 9787, 1346, 11650, 8499, 2943, 780, 8334, 281, 7937, 9493, 1695, 267, 594, 1294, 269, 1548, 827, 19142, 11731, 1063, 10506, 543, 5159, 585, 2870, 1857, 1148, 19698, 286, 16393, 11608, 2479, 4383, 602, 2186, 540, 3364, 2496, 7692, 281, 1280, 1271, 6054, 899, 3656, 11731, 267, 2348, 513, 1268, 2689, 543, 1129, 873, 568, 2629, 2094, 789, 1590, 1246, 7453, 4808, 543, 6042, 269, 14755, 267, 16208, 4664, 543, 19908, 2994, 1282, 5717, 1472, 891, 3584, 1869, 10460, 2591, 585, 11608, 780, 8334, 281, 23010, 267, 594, 7058, 11608, 5749, 1405, 3833, 4712, 547, 1491, 936, 3388, 5473, 2724, 543, 11650, 269, 3767, 1577, 803, 2995, 596, 827, 1250, 1007, 4620, 3165, 267, 5685, 2917, 13718, 1103, 713, 6643, 267, 7705, 543, 7585, 1865, 1585, 3344, 540, 2436, 11608, 1058, 7119, 538, 2883, 8852, 543, 1129, 17997, 762, 11650, 269, 1358, 946, 2312, 1893, 543, 2709, 6405, 1806, 547, 9414, 741, 2798, 267, 4543, 1762, 19700, 1020, 2565, 3206, 1983, 543, 2744, 1702, 3823, 3617, 2792, 6163, 543, 3375, 6194, 3157, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 20442, 4766, 519, 6388, 543, 6268, 540, 513, 1857, 7317, 18951, 1148, 10380, 538, 513, 14317, 6413, 269, 634, 1788, 1185, 1079, 3853, 282, 547, 1683, 606, 11791, 543, 3209, 7499, 1995, 585, 519, 6413, 2146, 267, 543, 547, 1732, 1174, 875, 1480, 7266, 1042, 17562, 267, 3226, 513, 32615, 25700, 6304, 267, 1522, 3895, 8171, 543, 2298, 540, 1272, 585, 2818, 540, 6413, 2950, 269, 1635, 10442, 519, 2833, 540, 519, 5171, 543, 8639, 267, 519, 1871, 540, 519, 10380, 585, 5171, 729, 12290, 269, 901, 960, 8309, 4143, 5813, 2509, 519, 1646, 540, 2104, 1148, 19698, 1369, 519, 1072, 16278, 543, 811, 17618, 269, 634, 1239, 849, 28279, 519, 5571, 4901, 7282, 519, 1761, 1909, 540, 1514, 543, 9354, 11608, 538, 1072, 1416, 5468, 563, 4692, 610, 1058, 513, 8773, 2479, 4497, 538, 513, 2883, 11834, 609, 513, 1480, 286, 1403, 865, 267, 875, 286, 1215, 827, 606, 17997, 762, 6876, 286, 23204, 2029, 814, 13087, 519, 1646, 540, 6939, 665, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31636, 26505, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 29986, 5811, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 3848, 476, 1015, 281, 4197, 3776, 2383, 543, 519, 2622, 3414, 1715, 700, 5151, 692, 5331, 1373, 2111, 547, 1294, 3564, 1018, 1034, 1004, 2015, 4641, 286, 1548, 952, 596, 1223, 7148, 883, 6456, 4229, 1472, 721, 543, 946, 873, 547, 1711, 1945, 9058, 286, 4270, 267, 972, 616, 2984, 827, 2027, 2043, 945, 666, 798, 1175, 602, 256, 1358, 616, 1634, 676, 1082, 4408, 1765, 332, 698, 5974, 267, 530, 23275, 267, 521, 13396, 516, 3464, 267, 610, 544, 1137, 11652, 2221, 267, 649, 786, 2263, 875, 891, 14070, 3197, 1522, 2070, 2933, 543, 519, 1158, 8335, 982, 8723, 11570, 899, 721, 780, 20058, 267, 1577, 781, 2911, 827, 31135, 269, 3143, 267, 1810, 1405, 5855, 282, 713, 4465, 1405, 4125, 1022, 4890, 2038, 6640, 32302, 256, 769, 938, 2796, 267, 834, 1177, 23818, 257, 1797, 4742, 3222, 540, 1007, 7399, 543, 11994, 602, 979, 3564, 4948, 2833, 269, 898, 781, 899, 6679, 707, 4064, 1310, 513, 1279, 23040, 543, 7487, 3388, 538, 513, 4195, 1769, 269, 901, 20185, 21810, 891, 9589, 2043, 693, 741, 1360, 4295, 267, 1818, 873, 2189, 689, 3025, 3116, 780, 3086, 4952, 602, 1169, 835, 540, 891, 11108, 7919, 814, 606, 834, 13510, 20345, 2437, 799, 568, 4990, 540, 899, 741, 9589, 6891, 3662, 610, 13057, 3196, 269, 1323, 2997, 20345, 4564, 945, 789, 616, 2620, 1524, 3330, 543, 7506, 875, 789, 2170, 609, 519, 12357, 19367, 4478, 721, 782, 269, 2368, 1285, 520, 1513, 949, 2285, 741, 581, 13145, 10373, 1379, 267, 1247, 1866, 1522, 1683, 11029, 5759, 269, 17859, 267, 1142, 1268, 781, 4276, 547, 741, 2997, 20345, 5546, 741, 1880, 2511, 540, 1210, 9059, 780, 3719, 7227, 267, 1141, 1281, 713, 865, 10777, 834, 332, 698, 673, 1379, 257, 2097, 689, 286, 4279, 2243, 256, 4340, 547, 891, 7381, 8941, 267, 971, 7207, 8451, 689, 9256, 1614, 1898, 2609, 281, 24084, 2989, 786, 267, 3661, 267, 543, 26378, 883, 8471, 3270, 269, 14190, 803, 547, 2736, 621, 1524, 2417, 1384, 265, 2878, 5319, 2775, 2989, 4024, 4995, 15439, 2322, 267, 621, 781, 2348, 513, 2312, 9837, 543, 8990, 547, 3035, 1945, 7415, 269, 6056, 540, 621, 607, 2519, 2731, 2182, 593, 8236, 513, 1808, 3804, 267, 1152, 28659, 1896, 2053, 936, 563, 265, 2878, 14582, 3971, 4995, 1230, 341, 2109, 4249, 513, 2629, 1909, 1932, 269, 1403, 2576, 5963, 11099, 789, 666, 9585, 1945, 267, 1100, 2339, 875, 2484, 1922, 564, 3481, 621, 4667, 267, 1287, 621, 3587, 2009, 269, 3776, 8186, 616, 11212, 3532, 2645, 5827, 540, 5863, 905, 1846, 950, 2016, 519, 4960, 563, 265, 2878, 26536, 531, 18963, 4995, 7053, 267, 891, 2984, 2303, 602, 972, 2291, 15865, 6272, 18955, 2429, 519, 5958, 540, 6228, 269, 1635, 1620, 543, 26936, 13951, 609, 891, 3270, 267, 513, 544, 720, 12374, 1569, 547, 6909, 5759, 780, 1103, 9759, 267, 891, 9589, 2043, 1451, 547, 11100, 741, 2178, 13821, 267, 6109, 4978, 267, 543, 4656, 540, 3677, 17184, 3889, 547, 8915, 2242, 538, 519, 1158, 1472, 873, 269, 1717, 267, 621, 568, 1271, 547, 3314, 602, 267, 2687, 547, 891, 6386, 267, 3765, 6748, 713, 1379, 610, 15603, 621, 8532, 596, 666, 1291, 547, 29070, 4539, 269, 18696, 568, 1883, 780, 13914, 1394, 547, 938, 1378, 2729, 1631, 269, 2755, 9039, 540, 721, 949, 4865, 9589, 5759, 20221, 3288, 16452, 25260, 267, 2992, 2390, 8090, 950, 596, 5433, 3226, 23518, 610, 4448, 547, 1945, 3152, 982, 3054, 269, 9320, 1282, 513, 2257, 4603, 267, 1148, 1788, 267, 610, 5026, 2680, 1107, 1705, 596, 2479, 1995, 513, 2631, 540, 9355, 267, 1445, 267, 543, 12972, 602, 1500, 4376, 3100, 2009, 286, 8409, 8320, 2709, 1350, 31663, 525, 883, 1018, 621, 7959, 899, 547, 723, 606, 1412, 1177, 2586, 539, 1285, 20345, 10086, 3850, 596, 547, 19214, 3297, 519, 1654, 559, 540, 3339, 1097, 543, 5905, 519, 9058, 780, 2026, 596, 1332, 4587, 267, 1832, 3695, 1346, 8090, 540, 15398, 8226, 543, 2702, 269, 5808, 6487, 286, 1411, 1522, 3605, 707, 1360, 1378, 24353, 1761, 267, 7996, 3461, 569, 547, 581, 12260, 539, 269, 1656, 2141, 3314, 281, 18468, 2306, 621, 2009, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 3391, 568, 513, 4518, 538, 18776, 269, 1703, 779, 513, 2603, 540, 3730, 1344, 1934, 267, 855, 849, 1454, 811, 3730, 1344, 602, 3884, 1406, 16432, 2943, 563, 296, 6415, 711, 6031, 602, 3206, 568, 3983, 269, 6145, 3388, 3116, 267, 621, 779, 3730, 538, 20208, 269, 589, 1434, 22700, 267, 855, 513, 3983, 4487, 30385, 316, 2334, 779, 547, 2161, 649, 25657, 4191, 267, 1913, 267, 2338, 267, 6698, 543, 2093, 609, 519, 1483, 1158, 269, 910, 21142, 20242, 1206, 454, 288, 342, 23818, 11225, 519, 544, 720, 269, 6787, 1352, 4016, 547, 621, 607, 930, 7793, 545, 6418, 5601, 610, 519, 23963, 2491, 762, 21654, 540, 2362, 9637, 267, 1200, 2997, 20345, 610, 2637, 3780, 630, 553, 519, 3353, 7100, 17358, 519, 1523, 264, 2636, 513, 786, 1740, 518, 547, 798, 519, 1919, 1352, 1281, 269, 5272, 631, 720, 1915, 814, 606, 2997, 20345, 540, 930, 2186, 267, 4352, 930, 616, 811, 14984, 982, 1866, 269, 634, 544, 720, 779, 21220, 2586, 539, 2997, 20345, 3085, 1405, 1175, 9886, 873, 519, 10516, 540, 4012, 1157, 531, 1379, 282, 621, 849, 5546, 602, 544, 720, 779, 1935, 547, 4012, 1157, 998, 922, 3647, 775, 269, 4475, 267, 544, 1137, 10244, 741, 7060, 998, 24084, 2989, 786, 543, 3661, 267, 1256, 607, 789, 616, 6766, 676, 519, 3270, 540, 519, 7122, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 631, 269, 700, 1421, 681, 773, 2041, 267, 595, 269, 590, 1421, 570, 6558, 267, 595, 269, 700, 1421, 744, 262, 294, 8696, 267, 589, 269, 570, 1421, 4469, 514, 577, 636, 267, 645, 269, 589, 1421, 1696, 620, 269, 630, 1001, 279, 1040, 4427, 338, 16577, 2030, 14092, 947, 1043, 1216, 538, 7823, 8134, 609, 513, 11335, 2916, 269, 25067, 3955, 4134, 4184, 269, 4860, 269, 476, 276, 281, 324, 14096, 278, 269, 8222, 281, 476, 1015, 269, 1911, 273, 11320, 520, 273, 269, 14096, 278, 454, 299, 659, 4486, 267, 808, 269, 590, 1421, 595, 1815, 559, 267, 631, 269, 681, 1421, 6489, 5069, 267, 595, 269, 808, 1421, 17793, 10045, 267, 681, 269, 661, 1421, 645, 785, 17507, 267, 594, 269, 715, 1421, 543, 2983, 327, 14843, 267, 717, 269, 661, 269, 630, 1001, 273, 1040, 634, 20963, 7108, 703, 28424, 24194, 281, 519, 5107, 540, 25810, 1768, 3757, 525, 543, 29351, 2707, 1646, 538, 519, 7216, 31350, 17675, 23683, 21600, 8602, 14663, 269, 2983, 14459, 476, 279, 267, 476, 29580, 1700, 27123, 269, 8222, 281, 476, 1015, 269, 13647, 271, 27798, 2464, 23669, 3393, 269, 272, 454, 30537, 267, 700, 1421, 645, 7776, 267, 595, 1421, 590, 29229, 267, 623, 269, 700, 1421, 5696, 656, 2917, 267, 590, 1421, 26757, 267, 962, 1421, 543, 667, 4428, 344, 267, 595, 269, 630, 1001, 278, 1040, 4197, 24659, 8652, 613, 17190, 281, 476, 273, 269, 14271, 11388, 1242, 3289, 6331, 545, 543, 2520, 12950, 3157, 5397, 6908, 2447, 739, 1738, 2623, 269, 4826, 1763, 269, 1763, 269, 476, 7871, 267, 476, 23056, 277, 1700, 26951, 278, 269, 8222, 281, 476, 1015, 269, 1911, 273, 270, 1001, 277, 29949, 26289, 280, 3374, 454, 299, 24926, 267, 674, 1421, 1230, 330, 4802, 267, 631, 269, 670, 1421, 543, 26396, 267, 717, 269, 667, 269, 630, 1001, 278, 1040, 29362, 883, 3289, 6331, 545, 543, 8652, 23755, 3157, 1759, 593, 5834, 16162, 8408, 543, 1439, 2173, 1897, 11544, 9382, 538, 519, 4571, 5336, 518, 1027, 681, 1775, 591, 645, 607, 514, 267, 590, 476, 20346, 715, 859, 3385, 267, 595, 620, 4727, 269, 4826, 1763, 712, 269, 1763, 269, 476, 7871, 267, 476, 279, 3953, 1700, 25616, 269, 8222, 281, 476, 1015, 269, 1911, 273, 270, 1001, 277, 29949, 25171, 275, 4391, 454, 299, 24926, 267, 674, 1421, 670, 12584, 6033, 267, 595, 1421, 543, 645, 2297, 267, 681, 269, 595, 269, 630, 1001, 274, 1040, 6513, 338, 540, 6908, 6503, 5108, 538, 1507, 7297, 515, 1091, 2066, 519, 6777, 1700, 1778, 5912, 538, 519, 8828, 23683, 21600, 267, 4993, 269, 10281, 1503, 269, 22948, 476, 2767, 267, 476, 4198, 280, 1700, 3192, 273, 269, 8222, 281, 476, 1015, 269, 1911, 273, 270, 1506, 335, 269, 280, 1789, 275, 454, 299, 24926, 267, 962, 269, 645, 1421, 2983, 3691, 6996, 30448, 267, 590, 1421, 1546, 3911, 539, 339, 267, 674, 1421, 32129, 10458, 267, 700, 1421, 543, 26172, 3563, 267, 700, 269, 630, 1220, 274, 1040, 589, 886, 15133, 3560, 1935, 585, 2095, 23332, 538, 22944, 2861, 6360, 9781, 269, 808, 269, 10281, 1503, 269, 476, 27543, 267, 476, 11011, 1700, 11793, 269, 8222, 281, 476, 1015, 269, 6200, 277, 13478, 16573, 273, 268, 15433, 275, 263, 6734, 264, 16573, 5655, 268, 278, 454, 299, 1075, 553, 267, 962, 1421, 932, 629, 14513, 267, 674, 1421, 5576, 3530, 3873, 12528, 267, 570, 1421, 674, 761, 345, 267, 645, 1421, 2549, 15842, 1047, 267, 645, 1421, 3600, 651, 17243, 267, 808, 1421, 1696, 620, 269, 630, 1001, 278, 1040, 31527, 613, 12950, 9781, 630, 298, 7644, 21316, 264, 540, 5614, 543, 2620, 16004, 23346, 1216, 15885, 538, 519, 1507, 11491, 12792, 23580, 601, 22138, 24659, 630, 309, 657, 2471, 15142, 267, 5333, 1040, 10331, 269, 2983, 32554, 269, 476, 9262, 267, 476, 272, 1700, 2641, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 269, 777, 613, 32554, 269, 1001, 278, 269, 1015, 269, 22650, 454, 9288, 1460, 1676, 267, 570, 1421, 28066, 10458, 267, 595, 1421, 645, 2297, 267, 681, 1421, 2274, 344, 1372, 14982, 267, 589, 1421, 590, 1157, 2006, 267, 808, 1421, 9253, 871, 267, 808, 1421, 1696, 620, 269, 630, 1220, 275, 1040, 5564, 728, 322, 611, 531, 8652, 23755, 3210, 540, 513, 23683, 21600, 24659, 281, 8417, 547, 29056, 2557, 543, 2242, 538, 18254, 269, 808, 269, 10281, 1503, 269, 476, 26326, 267, 476, 26604, 1700, 26326, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 12459, 5139, 1503, 269, 1220, 274, 269, 6021, 269, 22650, 454, 300, 13331, 541, 267, 674, 1421, 2806, 321, 2714, 267, 645, 269, 654, 1421, 631, 2088, 30186, 267, 595, 1421, 4354, 773, 267, 674, 1421, 543, 18237, 599, 267, 717, 269, 630, 1001, 278, 1040, 27100, 531, 3601, 267, 3289, 14347, 267, 543, 7350, 2170, 547, 3337, 5834, 16162, 8408, 14258, 585, 3327, 267, 5567, 267, 11159, 267, 543, 2101, 12274, 269, 4826, 1763, 712, 269, 1763, 269, 476, 7871, 267, 476, 14096, 271, 1700, 12553, 278, 269, 8222, 281, 476, 1015, 269, 1911, 273, 270, 1001, 277, 29949, 25171, 277, 3374, 454, 301, 2998, 267, 966, 269, 966, 1421, 5548, 531, 663, 324, 267, 631, 1421, 1849, 2946, 618, 267, 589, 1421, 5760, 879, 267, 715, 1421, 543, 674, 761, 345, 267, 645, 269, 630, 1001, 275, 1040, 21676, 9482, 3560, 3146, 9146, 9781, 540, 519, 1279, 3856, 5872, 1063, 4401, 267, 18761, 31354, 543, 11910, 26785, 14114, 343, 5112, 1014, 10036, 7723, 538, 14599, 3653, 30693, 1949, 269, 10331, 269, 22110, 2233, 269, 476, 6200, 267, 476, 25396, 1700, 4510, 274, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 17085, 599, 269, 1001, 275, 269, 5400, 269, 22903, 454, 302, 262, 294, 8696, 267, 589, 269, 570, 1421, 6380, 2465, 336, 267, 631, 1421, 654, 10402, 321, 1066, 1676, 267, 808, 1421, 853, 2329, 267, 661, 1421, 670, 11301, 965, 267, 623, 1421, 8061, 710, 267, 590, 1421, 1696, 620, 269, 630, 1001, 279, 1040, 8828, 521, 20346, 2565, 7997, 2616, 2218, 543, 15438, 5757, 8097, 7297, 515, 1091, 281, 513, 10282, 540, 7403, 267, 1007, 4030, 267, 543, 2104, 8846, 269, 966, 611, 846, 18630, 808, 269, 476, 1704, 281, 10037, 269, 8222, 281, 476, 1015, 269, 22659, 277, 23218, 345, 329, 1001, 279, 269, 6860, 269, 25484, 272, 454, 3725, 529, 267, 674, 269, 667, 269, 589, 1421, 543, 5696, 656, 2917, 267, 590, 269, 700, 269, 630, 1001, 280, 1040, 634, 1764, 540, 3178, 17466, 1216, 1543, 593, 11931, 1533, 29056, 543, 2144, 5317, 1949, 269, 2983, 5255, 574, 269, 15328, 332, 5255, 574, 269, 2920, 320, 476, 28192, 267, 476, 2412, 1700, 4649, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 3052, 8619, 269, 1001, 279, 269, 6021, 269, 271, 2764, 454, 305, 823, 267, 681, 1421, 645, 2297, 267, 681, 269, 595, 1421, 10266, 614, 267, 570, 269, 670, 1421, 543, 1684, 345, 1512, 267, 808, 269, 630, 1001, 272, 1040, 16176, 1216, 6697, 2059, 15038, 27080, 538, 519, 8585, 1027, 543, 16515, 565, 636, 928, 5211, 30520, 540, 519, 23683, 21600, 269, 4826, 1763, 712, 269, 1763, 269, 476, 5325, 281, 279, 269, 8222, 281, 476, 1015, 269, 9083, 280, 270, 1001, 271, 29949, 27947, 30116, 454, 306, 2378, 2465, 336, 267, 631, 1421, 16827, 267, 717, 269, 661, 1421, 11066, 267, 590, 269, 700, 1421, 543, 570, 6558, 267, 595, 269, 700, 269, 630, 1001, 274, 1040, 21676, 7204, 6777, 17569, 543, 15780, 6384, 547, 4612, 3140, 6908, 6503, 3466, 538, 519, 7262, 2136, 2276, 269, 10281, 1503, 269, 22948, 476, 2767, 267, 476, 277, 4649, 1700, 5780, 279, 269, 8222, 281, 476, 1015, 269, 1911, 273, 270, 1506, 335, 269, 280, 7830, 279, 454, 306, 2378, 2465, 336, 267, 631, 1421, 543, 670, 12584, 6033, 267, 595, 269, 570, 269, 630, 1001, 277, 1040, 10886, 1944, 20359, 543, 1216, 6556, 585, 2212, 4248, 7297, 515, 1091, 538, 519, 7013, 23683, 21600, 269, 808, 269, 2549, 269, 4826, 1763, 269, 5948, 476, 7367, 267, 476, 15171, 278, 1700, 16328, 277, 269, 8222, 281, 476, 1015, 269, 9340, 272, 270, 11260, 273, 268, 12739, 279, 269, 14862, 6872, 454, 17556, 1030, 601, 267, 595, 269, 594, 1421, 2561, 601, 334, 267, 595, 269, 589, 269, 808, 1421, 1488, 7702, 267, 645, 1421, 10496, 13196, 267, 667, 1421, 17833, 321, 12329, 267, 570, 1421, 918, 1245, 6308, 267, 744, 1421, 1696, 620, 269, 630, 1001, 276, 1040, 1234, 5562, 3560, 9479, 585, 7449, 16577, 2825, 11191, 269, 3281, 269, 2983, 657, 857, 269, 476, 866, 267, 476, 275, 3393, 1700, 275, 4281, 269, 8222, 281, 476, 1015, 269, 1911, 278, 4882, 10755, 9834, 268, 26522, 268, 280, 4510, 274, 14870, 454, 1805, 528, 1188, 267, 623, 1421, 14332, 1782, 267, 700, 1421, 654, 5930, 23331, 267, 623, 1421, 543, 2913, 1084, 2742, 1512, 267, 667, 269, 630, 1960, 279, 1040, 13335, 540, 513, 22944, 2861, 7856, 3289, 14347, 2203, 585, 12605, 540, 4104, 7556, 2360, 593, 8445, 6908, 2095, 538, 519, 7414, 19566, 269, 10281, 1503, 269, 6713, 476, 1321, 267, 476, 6434, 280, 1700, 3445, 275, 563, 306, 29229, 267, 623, 269, 700, 1421, 853, 3591, 267, 631, 269, 654, 1421, 5839, 335, 1667, 517, 267, 717, 269, 700, 1421, 9149, 267, 700, 1421, 670, 3305, 553, 267, 667, 269, 681, 1421, 543, 667, 617, 1091, 267, 654, 269, 918, 269, 630, 1001, 280, 1040, 1215, 5251, 30846, 1754, 985, 6908, 1216, 5834, 16162, 8408, 2623, 538, 19941, 1768, 23230, 630, 298, 517, 5633, 16217, 21961, 267, 7330, 1040, 6314, 269, 2983, 565, 269, 476, 276, 2767, 281, 14093, 7176, 280, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 6983, 1335, 613, 334, 269, 1001, 279, 269, 1321, 269, 16573, 454, 307, 528, 637, 267, 631, 269, 589, 1421, 31578, 553, 267, 808, 269, 808, 1421, 18412, 267, 918, 269, 661, 1421, 3171, 752, 1231, 267, 590, 269, 808, 1421, 543, 4639, 267, 589, 269, 808, 269, 630, 1001, 278, 1040, 17186, 532, 607, 513, 9920, 540, 13796, 7648, 538, 5757, 8652, 322, 13511, 281, 476, 272, 269, 29362, 689, 15061, 911, 6203, 538, 519, 1656, 525, 5025, 332, 7571, 5912, 269, 4826, 1763, 269, 1763, 269, 476, 7871, 267, 476, 20542, 273, 1700, 25313, 280, 269, 8222, 281, 476, 1015, 269, 1911, 273, 270, 1001, 277, 29949, 25171, 278, 3451, 454, 309, 1170, 518, 267, 589, 1421, 774, 1177, 267, 631, 1421, 1546, 514, 28496, 267, 589, 1421, 645, 756, 2421, 267, 681, 1421, 6380, 2465, 336, 267, 631, 1421, 1230, 330, 4802, 267, 631, 1421, 1696, 620, 269, 630, 1001, 280, 1040, 15328, 332, 8328, 24745, 19586, 519, 8652, 11388, 1108, 543, 1216, 4859, 6384, 540, 519, 8828, 521, 20346, 2565, 7997, 269, 4826, 1763, 712, 269, 1763, 269, 476, 4649, 267, 476, 16318, 280, 1700, 13970, 271, 269, 8222, 281, 476, 1015, 269, 9083, 280, 270, 1001, 279, 29949, 271, 2537, 277, 4792, 454, 310, 2096, 648, 267, 589, 269, 590, 1421, 6601, 516, 2023, 267, 681, 269, 700, 1421, 594, 8663, 571, 267, 667, 269, 661, 1421, 8575, 615, 267, 918, 1421, 543, 22413, 578, 749, 267, 654, 269, 670, 269, 630, 1001, 278, 1040, 11879, 7997, 2497, 8060, 5834, 16162, 8408, 3347, 543, 1151, 1393, 5108, 538, 4104, 539, 9341, 1395, 339, 2033, 7297, 515, 1091, 269, 4826, 1763, 712, 269, 1763, 269, 476, 7871, 267, 476, 277, 2767, 280, 1700, 277, 3066, 276, 269, 8222, 281, 476, 1015, 269, 1911, 273, 270, 1001, 277, 29949, 22903, 28318, 454, 21292, 281, 2565, 7997, 267, 8652, 613, 12950, 9781, 267, 15038, 13506, 267, 24659, 267, 595, 29841, 6935, 454, 290, 2787, 281, 3600, 651, 17243, 808, 267, 6008, 1030, 601, 595, 267, 20568, 674, 267, 19258, 681, 267, 6380, 2465, 336, 631, 267, 744, 262, 294, 8696, 589, 267, 670, 12584, 6033, 595, 543, 645, 2297, 681, 630, 1708, 271, 264, 10318, 1456, 1215, 11879, 18630, 12856, 4790, 23230, 31527, 613, 12950, 10263, 540, 27347, 515, 1091, 281, 4804, 3245, 606, 29175, 566, 27240, 1304, 538, 4993, 781, 23683, 21600, 269, 13571, 269, 4826, 476, 273, 281, 2537, 269, 8222, 281, 476, 1015, 269, 24783, 280, 11721, 337, 11445, 269, 1708, 271, 269, 1822, 2537, 454, 3725, 18727, 281, 476, 2537, 4728, 476, 1708, 271, 282, 20504, 539, 281, 476, 1691, 5147, 476, 1708, 271, 3248, 13775, 281, 476, 2641, 4864, 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 ]
[ 569, 609, 519, 555, 2794, 540, 519, 16405, 282, 855, 538, 602, 4090, 540, 16563, 519, 10469, 328, 29763, 9454, 7978, 3459, 1586, 267, 6986, 543, 2312, 689, 519, 1360, 22984, 540, 519, 5181, 12624, 338, 267, 513, 2370, 5639, 267, 9490, 543, 796, 333, 6326, 269, 3973, 519, 11299, 1336, 2349, 766, 632, 3288, 10414, 267, 543, 911, 332, 9482, 1200, 547, 2669, 563, 2108, 3891, 3357, 547, 1010, 1378, 1753, 543, 1010, 1378, 1004, 4607, 1864, 711, 3034, 1607, 1650, 568, 5143, 538, 14731, 623, 537, 6352, 322, 779, 22968, 267, 634, 12480, 690, 1132, 540, 519, 25844, 601, 2572, 267, 1759, 593, 513, 3209, 676, 519, 3943, 5856, 31869, 2471, 12672, 534, 657, 267, 1759, 538, 2490, 593, 513, 2110, 4436, 3209, 676, 717, 1068, 337, 644, 13153, 2274, 10783, 267, 3370, 538, 476, 4350, 272, 267, 593, 519, 552, 557, 540, 519, 13609, 779, 12081, 540, 9810, 267, 543, 1572, 267, 634, 14576, 693, 519, 2480, 3530, 1245, 563, 3963, 798, 594, 2285, 596, 782, 713, 5339, 543, 7574, 1686, 286, 898, 779, 513, 2603, 540, 1187, 267, 543, 1413, 621, 909, 593, 13334, 835, 1554, 269, 4746, 267, 621, 19595, 721, 267, 693, 8285, 540, 519, 1379, 540, 8467, 563, 7922, 534, 3832, 632, 3288, 10414, 568, 513, 15626, 30513, 945, 8678, 519, 5572, 607, 513, 8004, 269, 2701, 1336, 602, 1352, 1223, 711, 2661, 519, 14053, 1272, 540, 519, 25844, 601, 924, 1931, 543, 2451, 519, 5572, 538, 930, 771, 6588, 576, 543, 811, 1582, 16162, 326, 755, 269, 634, 2014, 540, 713, 5821, 729, 1200, 11566, 4250, 269, 2701, 5693, 1185, 2790, 2042, 602, 649, 4867, 1131, 1289, 1612, 8457, 807, 267, 1979, 1790, 6897, 4524, 267, 610, 1945, 3116, 267, 855, 1352, 5156, 602, 1352, 1185, 1044, 6074, 547, 2671, 519, 4250, 540, 4906, 267, 799, 646, 11124, 1317, 646, 16004, 519, 4158, 16897, 540, 782, 1480, 5609, 269, 670, 619, 729, 606, 8650, 2013, 540, 4687, 519, 7985, 902, 540, 2441, 563, 2108, 3719, 547, 782, 945, 4607, 1864, 646, 5795, 1379, 547, 1831, 519, 1453, 540, 2696, 3034, 7922, 534, 3832, 4607, 1864, 693, 519, 1034, 2352, 1377, 540, 1010, 1373, 543, 2968, 1010, 1126, 267, 543, 538, 519, 1439, 1200, 4250, 16004, 7198, 547, 1200, 5132, 6888, 563, 3383, 267, 1577, 803, 693, 2063, 5838, 519, 8285, 5048, 269, 3776, 1569, 547, 2696, 568, 8167, 622, 547, 938, 13438, 269, 1284, 1590, 581, 1930, 547, 2696, 543, 547, 1866, 267, 543, 602, 1797, 1373, 8348, 547, 7985, 609, 610, 585, 1866, 267, 547, 581, 8200, 593, 1866, 543, 4061, 547, 581, 7925, 547, 873, 269, 8786, 267, 7925, 1256, 547, 741, 12194, 269, 8307, 538, 13438, 547, 1866, 786, 649, 1831, 2178, 538, 6000, 267, 1317, 621, 568, 519, 824, 945, 3947, 2497, 547, 1250, 835, 269, 634, 7613, 540, 835, 4805, 568, 1447, 982, 835, 267, 1247, 519, 7613, 540, 835, 7925, 547, 519, 824, 3587, 3152, 982, 519, 2040, 540, 922, 2694, 267, 543, 621, 7140, 4250, 883, 6830, 3363, 563, 7922, 534, 3832, 779, 2012, 632, 3288, 10414, 1797, 968, 5228, 4222, 2223, 799, 538, 519, 1769, 540, 1200, 7180, 540, 705, 915, 4250, 4667, 547, 581, 513, 16970, 20451, 267, 2394, 649, 3605, 602, 1352, 1185, 811, 6830, 3363, 982, 1034, 267, 1373, 2111, 547, 9468, 519, 989, 3415, 540, 2441, 543, 547, 7198, 538, 513, 1259, 602, 6534, 519, 1273, 4854, 8467, 540, 519, 1379, 540, 519, 1368, 650, 13534, 269, 2701, 4951, 519, 3196, 540, 13438, 267, 519, 1379, 540, 22371, 543, 1981, 267, 543, 519, 3020, 2495, 540, 602, 1454, 2173, 529, 4310, 2262, 968, 331, 913, 3034, 18661, 3576, 519, 1981, 540, 2648, 950, 646, 9788, 5128, 538, 938, 1480, 7916, 607, 513, 20237, 1652, 4816, 269, 3509, 540, 721, 1688, 1864, 1394, 267, 610, 20549, 547, 1491, 519, 4816, 538, 519, 1101, 1747, 267, 855, 1346, 945, 798, 1491, 1864, 1831, 519, 1453, 540, 2696, 269, 1358, 3398, 519, 12312, 540, 2696, 1831, 519, 798, 619, 540, 2648, 267, 3398, 5539, 585, 519, 824, 538, 22371, 543, 13438, 267, 543, 3976, 1831, 519, 2178, 1906, 676, 4171, 6830, 3363, 538, 519, 3068, 540, 2648, 779, 1981, 543, 519, 1928, 540, 18349, 267, 948, 721, 4250, 8573, 5200, 6830, 19843, 7639, 267, 711, 4628, 1480, 547, 581, 2386, 267, 855, 711, 19039, 569, 581, 516, 1111, 540, 2648, 2901, 563, 32091, 2828, 267, 607, 8912, 649, 723, 711, 2944, 811, 982, 15072, 519, 2627, 540, 519, 8285, 5168, 267, 855, 556, 329, 4069, 18562, 267, 1317, 2648, 568, 1818, 2943, 1776, 9029, 543, 1776, 2709, 282, 1491, 803, 538, 707, 7916, 543, 1416, 585, 803, 267, 543, 596, 786, 3605, 2648, 267, 799, 568, 3274, 519, 6609, 540, 875, 1454, 649, 991, 1142, 824, 267, 1175, 547, 581, 267, 945, 649, 616, 269, 1284, 3112, 4163, 519, 1883, 547, 938, 1378, 3961, 538, 938, 30441, 282, 2576, 3116, 814, 547, 4163, 621, 269, 11086, 713, 4816, 11438, 621, 267, 865, 1491, 1864, 563, 2108, 3891, 729, 538, 519, 1158, 543, 519, 1158, 729, 1500, 998, 1864, 267, 2943, 519, 1158, 6785, 1864, 711, 2507, 663, 519, 6478, 2968, 17145, 543, 546, 342, 3881, 1851, 721, 267, 2407, 540, 11419, 543, 5168, 282, 649, 723, 581, 18988, 1010, 18710, 267, 18710, 607, 540, 519, 1152, 12312, 689, 519, 12429, 1848, 3627, 476, 272, 281, 1015, 267, 476, 1691, 28593, 17780, 5428, 593, 513, 28005, 517, 676, 7917, 8621, 30639, 11860, 11481, 563, 763, 8285, 9452, 1107, 8285, 11068, 9519, 267, 476, 2190, 628, 5412, 267, 476, 1001, 278, 563, 24685, 1346, 2395, 513, 31885, 4682, 856, 689, 14890, 31217, 602, 782, 519, 1158, 1058, 581, 10805, 1848, 634, 20227, 2687, 547, 19279, 6238, 519, 2272, 540, 4906, 779, 4332, 609, 1346, 1913, 269, 12142, 19279, 568, 7206, 1010, 1650, 827, 4906, 676, 1818, 24716, 563, 4131, 779, 1589, 827, 31217, 269, 1261, 568, 519, 14890, 540, 7507, 267, 519, 1034, 3532, 812, 538, 602, 1158, 269, 1924, 3532, 602, 835, 540, 1010, 10643, 568, 968, 306, 517, 540, 2696, 1848, 2920, 532, 607, 519, 12312, 540, 2696, 267, 31217, 10294, 602, 1010, 2898, 7706, 1058, 581, 18886, 267, 6027, 267, 606, 957, 540, 1852, 543, 1379, 4947, 856, 689, 7507, 269, 1656, 621, 3123, 9478, 267, 4057, 2025, 9478, 267, 1010, 2370, 1641, 267, 547, 979, 547, 21861, 548, 1335, 267, 799, 729, 24076, 269, 1411, 723, 713, 5104, 868, 777, 3789, 540, 782, 713, 4936, 1379, 543, 891, 1079, 267, 2241, 1004, 945, 979, 547, 713, 856, 6361, 7308, 17574, 1747, 267, 543, 972, 519, 5260, 21831, 540, 519, 1158, 568, 4535, 267, 543, 4535, 883, 513, 1970, 569, 3510, 281, 968, 9917, 5795, 4332, 547, 1200, 1101, 9799, 5067, 543, 20386, 1864, 538, 13164, 540, 12308, 543, 9788, 1864, 538, 513, 812, 3455, 1317, 972, 729, 1100, 4055, 585, 873, 538, 519, 7961, 1848, 901, 568, 519, 22258, 538, 20538, 269, 901, 568, 1946, 649, 616, 1934, 9522, 697, 269, 1703, 779, 1614, 1919, 1934, 827, 519, 4332, 602, 2995, 721, 3388, 827, 519, 22258, 912, 263, 272, 264, 1703, 779, 1100, 4055, 538, 519, 7961, 269, 898, 779, 538, 519, 2470, 540, 3776, 7083, 267, 519, 31050, 267, 602, 646, 568, 2141, 519, 835, 2451, 856, 269, 1261, 779, 519, 6149, 519, 26767, 15653, 269, 2334, 972, 779, 1100, 4055, 538, 519, 7961, 568, 711, 10071, 531, 547, 519, 1650, 282, 713, 568, 1018, 519, 31050, 267, 3776, 7083, 4906, 568, 269, 1703, 779, 1100, 4055, 538, 7507, 267, 865, 979, 547, 5840, 269, 1703, 779, 1100, 4055, 538, 5840, 267, 865, 979, 547, 9294, 732, 628, 269, 1703, 779, 1100, 4055, 538, 9294, 732, 628, 267, 865, 979, 547, 21861, 548, 1335, 269, 1703, 779, 1100, 4055, 538, 519, 7961, 267, 865, 979, 856, 547, 519, 8774, 1141, 519, 2831, 616, 269, 4934, 267, 856, 267, 856, 267, 856, 16634, 3776, 7083, 568, 519, 835, 2451, 856, 269, 634, 1483, 5168, 9397, 538, 593, 596, 950, 596, 21028, 519, 6149, 519, 26767, 15653, 602, 3587, 519, 22294, 269, 3776, 7083, 16111, 2729, 593, 519, 9018, 267, 543, 649, 1265, 1864, 1034, 3362, 950, 649, 2263, 1346, 4128, 267, 538, 16236, 267, 610, 1928, 267, 610, 6710, 563, 263, 273, 264, 5808, 1101, 4991, 2842, 540, 713, 286, 634, 1352, 17731, 1091, 269, 1284, 723, 547, 21199, 1863, 540, 1346, 8799, 8285, 6486, 10207, 269, 2701, 17731, 1091, 538, 519, 1101, 2540, 6719, 1945, 899, 536, 1731, 619, 267, 13998, 269, 1358, 941, 519, 7938, 14414, 267, 796, 2675, 14442, 592, 748, 269, 4658, 19526, 741, 9885, 950, 789, 3357, 883, 4884, 269, 1358, 1185, 519, 1514, 1665, 540, 14934, 1186, 625, 267, 609, 513, 1360, 1970, 1514, 4567, 269, 19279, 2141, 7140, 519, 1514, 1931, 593, 922, 2212, 281, 19279, 568, 2141, 5461, 538, 519, 2021, 267, 519, 856, 4751, 269, 1656, 865, 519, 21425, 5526, 547, 519, 1352, 17731, 1091, 281, 968, 2710, 711, 581, 12922, 28461, 263, 274, 264, 2701, 17731, 1091, 666, 1265, 519, 1126, 676, 1079, 4191, 281, 2220, 5417, 1782, 9660, 543, 513, 812, 3455, 269, 6056, 827, 1346, 2220, 5417, 1782, 9660, 281, 2528, 269, 1358, 12622, 543, 3180, 513, 1007, 4535, 4816, 281, 594, 4718, 513, 4605, 1175, 713, 3018, 540, 513, 1007, 4535, 4816, 20386, 909, 865, 17401, 602, 596, 1223, 711, 1294, 1022, 3364, 855, 513, 2370, 11909, 2212, 269, 634, 13164, 540, 12308, 941, 1031, 547, 3337, 519, 1126, 9308, 267, 513, 1259, 540, 9308, 8108, 519, 1126, 269, 1879, 649, 2161, 602, 4906, 3217, 593, 1480, 1106, 267, 713, 1650, 2982, 721, 602, 621, 2882, 1373, 1958, 738, 13894, 269, 9177, 5546, 721, 32375, 269, 4906, 267, 1932, 267, 729, 513, 1587, 540, 2528, 543, 711, 1175, 2470, 269, 898, 568, 711, 899, 2221, 538, 799, 649, 23294, 1047, 585, 2528, 269, 6307, 9327, 1406, 1413, 936, 547, 9478, 543, 2161, 267, 968, 11039, 267, 6148, 649, 1058, 1577, 1864, 6430, 585, 5128, 269, 2913, 779, 711, 16081, 4376, 1524, 1010, 11563, 1848, 1284, 1589, 602, 11214, 519, 10145, 1793, 622, 568, 30074, 269, 4906, 5128, 568, 2220, 5417, 1194, 282, 646, 779, 1958, 738, 13894, 269, 1261, 779, 513, 4816, 540, 602, 942, 543, 1747, 563, 10190, 602, 812, 3455, 267, 602, 8023, 512, 893, 267, 513, 1747, 1141, 519, 2831, 2097, 547, 3548, 269, 2311, 519, 1439, 540, 519, 22258, 519, 20785, 540, 21877, 639, 1265, 4906, 538, 519, 8840, 540, 3694, 267, 693, 606, 4189, 1747, 269, 7316, 798, 596, 1265, 1864, 286, 1452, 1352, 17731, 1091, 786, 849, 1265, 4906, 538, 606, 4189, 1747, 269, 5101, 532, 568, 971, 513, 1480, 267, 971, 513, 13766, 540, 1272, 269, 4906, 786, 2141, 581, 1934, 585, 721, 267, 543, 2124, 767, 1194, 538, 11836, 721, 585, 519, 1034, 2596, 1480, 1919, 971, 607, 1426, 563, 2108, 3719, 6307, 1726, 25979, 782, 891, 1913, 543, 11432, 1229, 873, 538, 1200, 2295, 1848, 594, 2141, 899, 875, 1352, 11432, 1229, 873, 538, 1200, 2295, 267, 711, 2212, 269, 634, 2295, 568, 519, 3490, 540, 7553, 269, 634, 2212, 568, 602, 540, 6457, 269, 634, 717, 28145, 616, 711, 22530, 819, 267, 6862, 616, 789, 3819, 7954, 269, 2060, 3776, 7083, 267, 596, 2141, 991, 547, 31739, 1864, 538, 707, 2295, 269, 769, 519, 1439, 267, 972, 568, 1100, 3819, 9266, 2626, 269, 7439, 568, 789, 1175, 6986, 7553, 269, 27801, 538, 3776, 7083, 814, 547, 581, 513, 31934, 11432, 1359, 538, 938, 12271, 269, 1284, 3006, 8263, 602, 972, 779, 606, 1439, 547, 11432, 1359, 267, 513, 1448, 693, 799, 596, 723, 1919, 23125, 856, 269, 2060, 3776, 7083, 267, 972, 568, 1100, 3932, 547, 519, 11432, 1359, 269, 623, 1180, 1359, 568, 513, 1259, 540, 1272, 602, 568, 24190, 609, 5132, 269, 2334, 779, 1018, 519, 6153, 5240, 568, 782, 827, 269, 623, 1180, 1359, 267, 11432, 1359, 543, 11432, 1359, 543, 6368, 4466, 856, 267, 602, 3297, 621, 782, 568, 1175, 519, 2648, 540, 2696, 945, 6499, 547, 2097, 547, 721, 269, 1290, 525, 547, 721, 676, 1373, 513, 1126, 267, 2501, 547, 721, 676, 1373, 7925, 267, 2501, 547, 721, 9522, 697, 267, 952, 1152, 649, 616, 18803, 2614, 547, 1577, 519, 18803, 1126, 883, 856, 2729, 563, 24109, 1006, 1107, 13491, 476, 274, 267, 476, 1704, 5412, 267, 476, 1001, 278 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1983, 269, 634, 24117, 3297, 713, 568, 1079, 19507, 269, 17616, 267, 519, 2238, 2832, 547, 4497, 6267, 538, 5042, 569, 7302, 718, 27701, 2534, 1107, 1945, 602, 568, 1419, 7508, 689, 1893, 6030, 3274, 1317, 782, 938, 1893, 6267, 723, 606, 7214, 4390, 602, 2484, 20489, 741, 1377, 538, 519, 3077, 1893, 269, 19627, 267, 519, 2238, 946, 1893, 547, 2347, 1875, 268, 1782, 340, 2065, 4247, 267, 3976, 2870, 513, 22992, 32705, 3510, 267, 1419, 609, 1483, 3734, 15178, 4247, 269, 3367, 593, 19314, 1607, 3126, 540, 2185, 2835, 3091, 13801, 267, 3730, 2259, 540, 8239, 269, 3962, 1433, 814, 1063, 476, 1839, 543, 476, 3374, 4559, 5356, 1079, 547, 1614, 3817, 540, 8239, 6609, 543, 2259, 5751, 269, 634, 1570, 4988, 538, 519, 2185, 2835, 568, 4843, 5693, 543, 10953, 25401, 267, 8720, 519, 1883, 8239, 2356, 5059, 593, 693, 589, 272, 5174, 272, 1377, 563, 15253, 1563, 547, 824, 8239, 2835, 593, 519, 2344, 267, 594, 1589, 713, 3126, 3091, 513, 9962, 2039, 540, 5751, 855, 7864, 8239, 3137, 269, 898, 814, 5111, 513, 3791, 540, 513, 2985, 540, 8239, 3137, 267, 1369, 519, 476, 273, 268, 274, 3817, 540, 1570, 585, 1142, 8239, 1448, 4843, 269, 634, 2835, 616, 7990, 995, 543, 11617, 13267, 267, 1210, 27977, 543, 824, 23877, 547, 2736, 909, 519, 8239, 5751, 269, 634, 2238, 2933, 2721, 593, 513, 2647, 2039, 540, 2553, 1519, 7934, 25361, 267, 12805, 5751, 267, 2978, 2454, 5961, 267, 4845, 19280, 267, 3444, 6919, 543, 4845, 15494, 269, 3367, 593, 19314, 1607, 568, 513, 9735, 3126, 540, 3988, 269, 594, 2648, 873, 269, 1717, 267, 1577, 803, 3136, 713, 2689, 538, 513, 811, 16268, 1769, 6693, 2467, 616, 476, 2537, 2835, 538, 519, 3126, 543, 594, 1745, 789, 1683, 513, 8799, 7848, 540, 2757, 18912, 2145, 525, 630, 290, 785, 699, 12848, 267, 8834, 7754, 267, 1325, 5417, 514, 267, 12619, 532, 25925, 267, 3092, 264, 543, 811, 2413, 4670, 5439, 630, 307, 1195, 9452, 267, 13158, 520, 537, 4068, 267, 15531, 715, 655, 334, 267, 3092, 1040, 1452, 1433, 616, 17216, 23695, 547, 519, 4690, 543, 7155, 5362, 916, 540, 962, 299, 338, 630, 9767, 978, 6267, 264, 2221, 543, 519, 6505, 23877, 543, 6402, 547, 2442, 8874, 1058, 2327, 891, 3988, 616, 513, 5734, 609, 1053, 563, 2467, 616, 3670, 2157, 267, 5356, 513, 2619, 540, 11144, 689, 519, 1360, 1376, 540, 1565, 2296, 547, 7127, 547, 595, 9128, 589, 272, 10030, 543, 594, 5433, 519, 1893, 1031, 538, 519, 2984, 693, 1142, 1377, 5330, 539, 1134, 547, 2875, 2702, 269, 1703, 616, 476, 1691, 268, 3607, 3817, 540, 1650, 267, 4470, 593, 1377, 269, 1403, 4376, 267, 519, 2984, 616, 865, 1279, 676, 700, 277, 602, 4509, 1453, 779, 1719, 1247, 2542, 936, 513, 3126, 540, 5049, 1223, 581, 4101, 269, 3367, 593, 19314, 5475, 2542, 713, 1433, 594, 1589, 594, 949, 723, 1336, 519, 14472, 24297, 6149, 585, 1250, 661, 9915, 3450, 538, 519, 2361, 540, 1857, 1894, 269, 634, 2298, 540, 519, 1433, 568, 796, 23896, 762, 630, 1492, 3126, 547, 799, 621, 12851, 4465, 519, 2296, 24935, 5742, 779, 2296, 5678, 1433, 8366, 538, 476, 1220, 280, 1040, 634, 1433, 779, 12191, 30242, 547, 1683, 1983, 2861, 28439, 2259, 585, 1875, 28921, 18702, 6267, 269, 4706, 946, 568, 849, 3833, 8465, 543, 3610, 786, 581, 2111, 547, 946, 621, 609, 1053, 689, 5580, 2987, 23059, 547, 15334, 1377, 630, 4753, 293, 645, 273, 4211, 273, 610, 28568, 476, 276, 269, 271, 268, 278, 269, 276, 266, 1040, 634, 1433, 814, 513, 3280, 1374, 10128, 9115, 267, 1893, 1983, 543, 6863, 563, 763, 1433, 568, 6896, 883, 12964, 4559, 1519, 3584, 971, 607, 513, 4214, 540, 1857, 1894, 267, 922, 1292, 3853, 543, 9165, 630, 22780, 476, 272, 1070, 513, 2689, 540, 519, 1455, 2238, 3238, 538, 519, 2361, 630, 22780, 476, 273, 1070, 6009, 538, 1857, 1894, 630, 22780, 476, 275, 1070, 6042, 267, 543, 3656, 6927, 543, 2792, 630, 28493, 476, 276, 268, 278, 1040, 634, 1433, 849, 2882, 513, 6863, 4871, 267, 930, 3606, 2326, 543, 519, 7148, 525, 5296, 338, 269, 3367, 593, 19314, 306, 1539, 665, 4321, 21126, 593, 5678, 2422, 543, 5678, 4804, 454, 763, 1559, 540, 5822, 5678, 21733, 9974, 630, 306, 6369, 264, 723, 22157, 547, 27721, 593, 1079, 1292, 18765, 282, 602, 1893, 1565, 568, 2901, 5097, 5042, 630, 514, 11526, 676, 3157, 5571, 1369, 519, 2634, 540, 519, 15226, 264, 610, 5097, 1514, 630, 655, 1120, 532, 607, 513, 1267, 540, 1514, 4205, 1040, 2986, 1576, 267, 3173, 723, 1279, 6956, 602, 891, 1079, 11890, 1590, 581, 547, 930, 6708, 954, 22366, 267, 855, 519, 4661, 3788, 607, 547, 799, 568, 519, 6117, 3310, 3297, 590, 6369, 269, 901, 4015, 540, 12995, 4574, 11394, 547, 11753, 519, 1079, 4485, 267, 543, 1683, 513, 1297, 540, 5380, 593, 519, 6073, 538, 799, 519, 1514, 543, 519, 5042, 7516, 1860, 543, 2170, 609, 1142, 824, 563, 763, 1433, 568, 5258, 883, 1614, 6810, 269, 634, 1101, 9388, 609, 519, 7811, 5380, 4359, 676, 3173, 883, 1914, 665, 10744, 267, 1247, 519, 2034, 3217, 513, 811, 12170, 8905, 267, 9306, 2090, 883, 519, 14375, 543, 703, 1905, 5966, 3252, 540, 1914, 665, 10744, 1851, 6267, 269, 12344, 585, 1034, 17053, 3988, 519, 3803, 3296, 267, 7255, 607, 621, 568, 609, 519, 4052, 4928, 3156, 540, 1914, 665, 4321, 5380, 267, 786, 581, 519, 1034, 1271, 543, 17191, 269, 3962, 540, 891, 1614, 6810, 786, 581, 3367, 593, 19314, 763, 2382, 656, 14288, 10341, 2584, 665, 641, 4192, 4199, 3640, 568, 513, 1454, 2877, 4015, 540, 2326, 585, 11112, 16929, 685, 4081, 7041, 6030, 269, 901, 4199, 1433, 568, 519, 5767, 5356, 689, 519, 11062, 25767, 14635, 267, 799, 814, 4547, 721, 971, 5172, 10643, 607, 2382, 656, 28568, 543, 25460, 10586, 10632, 269, 898, 666, 581, 1031, 607, 519, 4493, 540, 513, 2898, 1576, 267, 610, 1256, 1732, 607, 513, 1390, 24045, 1433, 585, 5423, 2326, 269, 634, 2326, 616, 6322, 693, 16592, 29329, 547, 11628, 1053, 267, 2495, 621, 1131, 5078, 585, 1053, 689, 513, 1377, 540, 476, 276, 269, 276, 593, 28568, 610, 945, 1185, 5293, 519, 11062, 674, 4753, 563, 763, 1433, 568, 5693, 6896, 883, 13977, 4712, 3562, 14482, 778, 4245, 799, 616, 538, 2947, 5094, 2489, 2127, 281, 6355, 267, 2657, 543, 6925, 267, 3163, 543, 5303, 267, 634, 8551, 267, 543, 4065, 269, 3962, 1858, 568, 4988, 538, 1614, 4559, 5627, 1079, 4245, 269, 589, 3992, 814, 1614, 3211, 543, 513, 2985, 609, 519, 4116, 779, 4967, 269, 634, 4967, 1331, 1900, 8386, 9912, 5528, 593, 875, 547, 946, 519, 1570, 267, 2059, 609, 6700, 1246, 909, 2238, 269, 634, 4116, 779, 4967, 616, 10375, 569, 6587, 519, 3211, 865, 596, 1810, 1406, 723, 547, 3597, 1472, 519, 1394, 585, 519, 4267, 269, 3367, 593, 19314, 763, 2296, 18500, 538, 2422, 2835, 723, 1044, 1472, 585, 513, 1279, 942, 543, 616, 267, 594, 1745, 267, 17170, 4928, 2200, 267, 865, 594, 729, 11235, 547, 1294, 875, 519, 5767, 7160, 535, 1563, 563, 2026, 538, 3105, 21820, 267, 519, 1433, 568, 16922, 540, 1796, 17038, 821, 4559, 5356, 2312, 3137, 543, 2259, 5751, 799, 616, 4998, 585, 24045, 1362, 2326, 610, 1582, 24713, 344, 2259, 563, 763, 1433, 814, 476, 1911, 19590, 1316, 2358, 1114, 6863, 2127, 269, 1703, 616, 476, 3374, 2489, 1888, 2861, 4559, 8720, 2127, 971, 607, 519, 4365, 267, 10503, 1004, 267, 2069, 267, 1426, 267, 1072, 267, 6760, 267, 2724, 267, 543, 1082, 811, 269, 634, 1985, 8370, 4559, 1287, 1413, 538, 811, 1469, 693, 4606, 543, 3527, 267, 8720, 4978, 267, 15055, 267, 4606, 543, 12823, 269, 1452, 4559, 849, 18808, 609, 6085, 532, 593, 16609, 3871, 543, 2081, 540, 5356, 17192, 543, 9880, 267, 799, 594, 5433, 941, 3730, 2127, 547, 3382, 269, 9978, 2035, 267, 1519, 942, 267, 7274, 267, 7516, 267, 9403, 267, 616, 4988, 538, 519, 1985, 4557, 15492, 3296, 269, 700, 9722, 1913, 267, 2262, 5250, 267, 1913, 543, 12332, 267, 630, 684, 264, 12248, 762, 17205, 543, 2236, 29569, 13450, 782, 723, 1367, 6810, 540, 693, 2547, 1614, 4559, 1142, 1310, 602, 269, 634, 3803, 3296, 12857, 3099, 543, 2511, 543, 5654, 693, 630, 514, 264, 845, 531, 1893, 267, 1138, 3796, 267, 605, 18690, 3367, 593, 19314, 23682, 5112, 616, 519, 1101, 267, 855, 4440, 4465, 1406, 581, 519, 2063, 267, 547, 1376, 3001, 741, 3988, 3126, 547, 519, 21236, 543, 27317, 630, 8117, 1100, 15692, 8747, 2943, 1040, 769, 5988, 713, 1032, 267, 891, 21705, 14624, 540, 519, 3312, 2835, 547, 5529, 519, 1775, 307, 17480, 12125, 538, 3567, 630, 320, 5750, 3335, 13856, 676, 9215, 296, 4488, 543, 11020, 9751, 1040, 898, 779, 2653, 547, 1294, 1946, 269, 2060, 1082, 593, 9042, 1631, 585, 607, 2370, 607, 476, 5952, 586, 523, 630, 821, 13362, 264, 789, 2099, 1390, 1871, 585, 2724, 269, 1358, 616, 2653, 547, 6330, 267, 18991, 4843, 267, 543, 4898, 2685, 11609, 269, 1403, 1053, 616, 3168, 585, 513, 10375, 267, 3059, 4244, 1287, 891, 2097, 3810, 5227, 269, 2353, 2157, 543, 16919, 616, 524, 23926, 585, 267, 609, 476, 4649, 2835, 689, 2157, 476, 272, 547, 476, 277, 540, 519, 3126, 2139, 563, 763, 813, 8747, 2097, 609, 930, 8799, 3063, 2934, 269, 13159, 8301, 568, 3769, 269, 901, 666, 2901, 581, 19557, 547, 607, 596, 1224, 610, 5129, 899, 606, 8301, 1433, 269, 6271, 1840, 547, 519, 813, 568, 513, 29395, 540, 1007, 17161, 267, 799, 666, 581, 12006, 538, 519, 1257, 543, 512, 11474, 593, 547, 3367, 593, 19314, 763, 11062, 6651, 547, 16677, 698, 9609, 543, 6657, 538, 5822, 5678, 9752, 454, 23921, 513, 1433, 602, 814, 513, 1297, 540, 1434, 4930, 8720, 519, 1271, 2152, 543, 4485, 538, 1699, 1893, 3450, 286, 634, 11062, 6651, 547, 16677, 698, 9609, 543, 6657, 538, 5822, 5678, 9752, 1223, 581, 1018, 596, 616, 3168, 585, 269, 901, 1433, 568, 513, 28094, 540, 2110, 909, 3562, 15082, 4574, 8720, 513, 2647, 2039, 540, 3584, 538, 2034, 1893, 3450, 269, 634, 1433, 5956, 609, 513, 1360, 13181, 4985, 2854, 676, 519, 15769, 269, 3509, 1004, 2356, 18178, 519, 4367, 543, 4685, 2786, 883, 519, 1543, 267, 855, 609, 713, 1433, 621, 568, 3810, 5227, 547, 1224, 713, 851, 1101, 607, 621, 568, 1360, 4277, 543, 5393, 13181, 267, 4758, 606, 7650, 540, 519, 2152, 4143, 547, 27380, 543, 12191, 2221, 269, 898, 568, 2854, 538, 513, 1259, 602, 1256, 3988, 1007, 547, 519, 2361, 666, 1174, 267, 6645, 596, 1141, 547, 1265, 519, 4143, 4930, 267, 543, 7475, 609, 513, 1592, 540, 3606, 8100, 269, 11374, 519, 4367, 267, 519, 1433, 3568, 476, 1789, 4574, 610, 968, 577, 9532, 892, 799, 616, 5258, 883, 2947, 6810, 269, 1358, 616, 1134, 2275, 1538, 528, 1242, 267, 1818, 621, 2653, 547, 7914, 1472, 519, 1433, 585, 11271, 4143, 547, 707, 1719, 269, 634, 15769, 723, 2854, 5618, 3730, 31047, 693, 519, 4098, 540, 1142, 3296, 269, 3367, 593, 19314, 296, 26091, 568, 519, 4139, 2296, 5678, 13281, 3590, 3144, 676, 1082, 1053, 945, 991, 606, 2296, 981, 538, 1931, 547, 1353, 610, 960, 538, 2296, 6340, 2477, 269, 634, 28568, 5678, 6657, 1433, 568, 6322, 693, 1053, 540, 782, 2157, 8600, 547, 1491, 519, 28568, 981, 563, 296, 26091, 5678, 6657, 666, 581, 1031, 607, 7041, 585, 519, 28568, 981, 269, 898, 568, 5258, 883, 6810, 8720, 8239, 267, 4559, 1759, 593, 1114, 6863, 4798, 630, 324, 3052, 269, 593, 519, 2067, 1158, 267, 519, 6575, 543, 10182, 543, 6644, 1070, 543, 6810, 602, 1445, 593, 1888, 30499, 1913, 543, 2453, 267, 1519, 6810, 593, 4081, 1557, 1603, 563, 763, 1101, 476, 2412, 4559, 4308, 609, 1114, 3344, 540, 8239, 609, 1614, 547, 2185, 3817, 6131, 547, 1142, 2460, 971, 607, 519, 1585, 512, 5151, 267, 4930, 267, 543, 1110, 531, 13450, 269, 3962, 3296, 6238, 609, 606, 7778, 543, 1806, 267, 4553, 676, 5751, 269, 634, 3137, 3367, 593, 19314, 1692, 547, 1205, 891, 2835, 1284, 798, 711, 6133, 2835, 602, 649, 2689, 269, 1677, 948, 596, 538, 29466, 1022, 1433, 596, 949, 6999, 547, 4444, 267, 649, 1592, 519, 17404, 543, 630, 3467, 5063, 264, 519, 9768, 630, 17220, 9208, 3883, 7089, 1040, 1411, 666, 946, 891, 547, 3406, 585, 875, 547, 4444, 519, 1433, 689, 707, 2197, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 1453, 6038, 1603, 610, 7900, 741, 1378, 960, 269, 901, 1184, 666, 581, 9862, 585, 513, 3099, 540, 5931, 543, 814, 8810, 547, 581, 513, 3810, 2500, 1907, 538, 3384, 519, 1453, 779, 1983, 540, 2239, 1603, 563, 15899, 4354, 14152, 25103, 454, 7437, 519, 1153, 779, 3860, 6437, 1935, 547, 3450, 543, 1565, 267, 2296, 568, 11251, 2429, 519, 4058, 543, 24598, 1231, 1454, 540, 519, 1453, 779, 1565, 563, 6624, 540, 519, 2296, 7341, 616, 3838, 609, 519, 3506, 1369, 519, 4884, 540, 10369, 667, 2001, 2023, 269, 16065, 2671, 7341, 543, 1007, 4485, 547, 519, 3450, 543, 1565, 540, 2296, 609, 824, 2296, 1291, 3610, 267, 3850, 585, 11007, 543, 22122, 607, 851, 540, 519, 16011, 12140, 26844, 267, 3976, 5009, 1655, 2259, 2066, 13460, 543, 3506, 269, 17135, 6402, 616, 849, 1134, 3964, 609, 519, 3095, 17135, 5781, 5870, 609, 519, 1071, 268, 867, 13541, 547, 581, 5618, 539, 2390, 7835, 1369, 519, 1641, 543, 1007, 2093, 1373, 4693, 1194, 543, 5555, 18202, 856, 2066, 519, 2898, 1153, 269, 898, 568, 513, 1360, 1134, 268, 759, 712, 1027, 1641, 267, 609, 3964, 6402, 609, 519, 1153, 5399, 543, 2199, 5399, 1373, 3351, 2213, 4628, 547, 2327, 602, 519, 1453, 616, 6534, 547, 2298, 5931, 543, 1382, 2326, 547, 2707, 513, 2016, 1257, 1826, 610, 6249, 563, 763, 9919, 30503, 1674, 540, 2296, 454, 12626, 814, 513, 1360, 1164, 9043, 1369, 519, 1153, 269, 634, 2648, 540, 2835, 543, 2542, 568, 9976, 12422, 1282, 2622, 3883, 4303, 267, 543, 713, 1032, 519, 1153, 4371, 922, 22305, 1116, 6965, 973, 1746, 6735, 267, 609, 519, 1453, 11744, 741, 2702, 547, 1312, 1451, 543, 973, 924, 9954, 585, 606, 5304, 269, 901, 729, 513, 1360, 11141, 543, 1714, 13228, 550, 2773, 689, 782, 519, 1453, 543, 6039, 547, 8300, 824, 1453, 547, 7119, 538, 2104, 2621, 563, 7021, 2487, 1296, 267, 519, 1153, 814, 20888, 513, 1297, 540, 20380, 4589, 547, 519, 1153, 267, 1519, 700, 714, 623, 747, 517, 267, 2278, 540, 519, 8751, 27176, 2835, 269, 634, 1453, 5781, 1995, 2661, 16222, 267, 609, 12644, 711, 1152, 8744, 1134, 1634, 2984, 547, 1272, 267, 855, 849, 3140, 4249, 543, 12644, 5532, 547, 3621, 4798, 267, 971, 607, 645, 684, 11420, 570, 10183, 563, 2026, 1134, 607, 519, 8366, 10888, 2278, 267, 8751, 6022, 1067, 267, 945, 814, 10272, 721, 1896, 2053, 538, 519, 2063, 1906, 1296, 269, 4495, 547, 2671, 1010, 7335, 519, 10794, 1788, 543, 2034, 569, 547, 8300, 519, 1453, 547, 2328, 543, 1865, 1010, 2835, 827, 519, 2112, 563, 12626, 568, 693, 519, 2295, 540, 519, 3450, 543, 1565, 2429, 519, 6437, 269, 898, 568, 17697, 538, 3592, 3388, 649, 798, 269, 589, 7524, 3196, 1369, 519, 1153, 267, 2296, 568, 1641, 799, 568, 7683, 9687, 267, 16111, 3695, 1007, 4485, 547, 3450, 543, 1565, 269, 11086, 621, 568, 513, 2629, 1907, 538, 938, 1565, 267, 513, 7944, 6149, 540, 938, 4081, 3460, 855, 849, 513, 2707, 540, 18399, 543, 12257, 585, 782, 269, 0, 268, 2596, 10551, 14169, 543, 1651, 1707, 2553, 538, 2182, 5160, 6391, 454, 268, 4383, 519, 968, 3698, 17087, 892, 3135, 998, 1585, 543, 5499, 11160, 7695, 2553, 454, 268, 1685, 519, 1455, 10551, 2553, 538, 15498, 25185, 454, 268, 8415, 4359, 10551, 31627, 538, 27532, 25185, 454, 268, 4019, 1455, 1651, 1707, 6272, 543, 521, 583, 1005, 2553, 538, 27532, 25185, 454, 268, 521, 583, 1005, 2409, 547, 5150, 1166, 2355, 543, 21910, 338, 454, 5415, 1217, 725, 1934, 269, 0, 13425, 938, 7732, 18280, 4084, 585, 930, 2835, 593, 707, 1888, 563, 8196, 5291, 2517, 4178, 8542, 797, 2280, 8962, 2593, 547, 1832, 3950, 540, 707, 2959, 563, 13425, 856, 715, 797, 2280, 8962, 1215, 3562, 27678, 454, 5319, 11602, 27429, 6732, 454, 763, 10957, 568, 519, 8912, 835, 563, 13328, 3883, 6732, 454, 27879, 5320, 568, 519, 8912, 835, 454, 5319, 11602, 540, 3703, 12052, 454, 5575, 8315, 6164, 625, 454, 288, 4011, 580, 1400, 16457, 4516, 454, 28657, 538, 519, 10435, 281, 2806, 10594, 10904, 6164, 625, 543, 9534, 454, 8002, 338, 6164, 625, 543, 8092, 28787, 338, 454, 1432, 568, 606, 2920, 286, 1548, 568, 513, 9291, 286, 5903, 540, 20450, 454, 1432, 568, 513, 15521, 888, 8340, 513, 15521, 538, 8225, 15610, 454, 307, 805, 344, 10435, 538, 4516, 454, 307, 805, 625, 267, 5080, 16781, 619, 543, 13531, 906, 454, 10932, 589, 1749, 689, 2817, 19964, 540, 4516, 6732, 454, 307, 805, 625, 21476, 689, 8225, 22127, 454, 290, 6195, 5240, 281, 16971, 454, 9303, 7595, 15521, 6176, 13505, 282, 10934, 267, 15610, 2376, 267, 307, 805, 344, 19791, 454, 8448, 7087, 24447, 8249, 454, 4198, 272, 910, 476, 2735, 272, 281, 16971, 7126, 11873, 454, 24552, 3689, 281, 1323, 5345, 6295, 12910, 11659, 4039, 908, 547, 16971, 24447, 538, 4516, 454, 1220, 272, 14829, 318, 6781, 3073, 1400, 24447, 28083, 15295, 9043, 454, 14532, 540, 16971, 4521, 454, 288, 4011, 580, 1400, 24447, 543, 519, 22518, 10456, 3590, 454, 20755, 5202, 281, 3689, 8315, 538, 7460, 454, 2304, 12124, 16971, 5020, 907, 514, 519, 717, 23623, 291, 454, 2431, 547, 8917, 476, 3422, 271, 2676, 19669, 7433, 476, 3422, 280, 2676, 300, 2465, 577, 8235, 6452, 867, 2676, 2026, 12273, 540, 3689, 8315, 267, 0, 272, 5130, 476, 1001, 276, 454, 18933, 9564, 966, 633, 16988, 7701, 267, 513, 5289, 21184, 609, 26009, 6457, 543, 3196, 267, 23953, 11999, 960, 543, 1967, 883, 1010, 5618, 1272, 630, 5908, 274, 1700, 5002, 273, 1040, 966, 633, 16988, 7701, 729, 4535, 715, 732, 526, 3757, 987, 13096, 3279, 543, 729, 26970, 676, 519, 989, 333, 8251, 5375, 3506, 540, 6138, 607, 513, 1126, 563, 8245, 6714, 3585, 267, 1990, 20454, 538, 1010, 13287, 540, 519, 5168, 827, 2696, 267, 646, 20402, 13411, 2043, 267, 6998, 873, 952, 789, 1185, 2938, 2696, 269, 16444, 10548, 752, 16194, 3534, 267, 945, 2968, 1010, 4116, 543, 782, 26359, 1010, 12194, 267, 11461, 1864, 593, 519, 5289, 2619, 267, 543, 10736, 1864, 883, 513, 27041, 543, 22445, 609, 519, 1379, 547, 4001, 267, 729, 1175, 971, 513, 1268, 563, 309, 633, 16988, 7701, 14460, 519, 1158, 1310, 16444, 10548, 752, 16194, 3534, 779, 2669, 538, 476, 6642, 277, 543, 18389, 1229, 2066, 3127, 607, 513, 21409, 31494, 269, 3571, 3395, 6161, 585, 519, 1004, 540, 3127, 19430, 1864, 547, 3343, 1570, 6351, 689, 519, 4639, 269, 769, 476, 6245, 274, 267, 646, 7608, 606, 27592, 547, 2099, 18420, 538, 519, 9628, 12057, 540, 9671, 687, 563, 3891, 6170, 1614, 1296, 538, 3013, 543, 4789, 10825, 519, 28174, 9017, 6138, 543, 4984, 1354, 13059, 547, 3127, 547, 1711, 519, 10548, 752, 16194, 3534, 4569, 543, 10548, 752, 16194, 3534, 17030, 269, 2991, 513, 5618, 2034, 7552, 547, 519, 4639, 267, 646, 5747, 593, 5147, 476, 275, 267, 476, 5002, 273, 269, 3571, 13159, 3718, 267, 799, 12732, 8370, 12531, 267, 2270, 1010, 15872, 543, 12326, 563, 18933, 9564, 966, 633, 16988, 7701, 610, 1346, 945, 4862, 1864, 11000, 689, 476, 6245, 274, 547, 476, 5002, 271, 616, 2047, 3743, 585, 519, 5354, 540, 28174, 9017, 5081, 7724, 602, 941, 4646, 538, 3013, 543, 2342, 909, 547, 519, 476, 4350, 271, 338, 269, 0, 305, 289, 294, 4437, 5505, 4518, 547, 10163, 648, 519, 25725, 15510, 454, 300, 7795, 13758, 2098, 4660, 328, 267, 6103, 476, 1015, 454, 18693, 5505, 693, 9576, 15636, 19680, 25052, 616, 2324, 2182, 547, 11177, 519, 13155, 2551, 540, 11068, 1633, 10266, 1540, 570, 4669, 956, 538, 741, 8738, 28002, 543, 16803, 10473, 538, 14411, 269, 634, 11068, 1633, 10266, 1540, 570, 4669, 956, 568, 835, 540, 519, 2249, 693, 1981, 630, 306, 2752, 1070, 799, 1797, 602, 621, 949, 711, 7639, 952, 7850, 3646, 616, 711, 3144, 547, 2149, 621, 563, 763, 11068, 1633, 13556, 570, 4669, 956, 945, 723, 5063, 11058, 3481, 616, 1818, 741, 1259, 547, 9576, 15636, 19680, 10651, 593, 513, 1279, 543, 30217, 748, 3460, 269, 634, 4816, 570, 4669, 956, 941, 5950, 2282, 20836, 7723, 524, 9127, 799, 568, 2282, 16803, 269, 4256, 10278, 689, 6182, 785, 7723, 15880, 568, 585, 9576, 15636, 19680, 25052, 269, 634, 9576, 15636, 19680, 25052, 723, 2947, 3964, 10651, 267, 609, 5111, 476, 2004, 2249, 693, 1981, 543, 936, 476, 273, 476, 6110, 2249, 540, 2371, 563, 19013, 267, 972, 616, 1152, 1472, 476, 277, 269, 276, 2929, 16015, 538, 519, 3552, 799, 12662, 519, 3003, 2249, 538, 606, 13155, 1533, 269, 898, 568, 1360, 2352, 547, 2161, 875, 1082, 570, 4669, 956, 972, 616, 267, 865, 713, 1297, 568, 606, 7447, 563, 288, 29489, 568, 2576, 602, 29377, 1382, 593, 1272, 269, 1358, 1353, 3388, 827, 2713, 7068, 543, 741, 1604, 269, 11068, 1633, 10266, 1540, 570, 4669, 956, 616, 4867, 13155, 543, 782, 570, 4669, 956, 616, 7396, 607, 2027, 6161, 865, 602, 1797, 14411, 779, 1152, 5216, 2249, 540, 570, 4669, 956, 616, 693, 1981, 540, 7106, 8960, 689, 519, 11662, 563, 763, 11068, 1633, 4262, 14854, 616, 1034, 4122, 3670, 6279, 543, 10355, 9765, 713, 3259, 269, 1717, 972, 723, 1044, 3875, 14026, 1141, 519, 16015, 616, 5722, 610, 5216, 6279, 269, 11068, 1633, 13556, 16015, 723, 3109, 16115, 609, 512, 6493, 540, 10538, 593, 621, 269, 1411, 1590, 1521, 513, 14854, 3592, 899, 596, 1131, 1521, 513, 4816, 269, 4634, 1498, 789, 2661, 827, 476, 1789, 547, 476, 2412, 1296, 267, 789, 616, 1360, 17866, 7068, 563, 5445, 3548, 13479, 267, 3165, 267, 20883, 543, 824, 10664, 269, 11068, 1633, 10266, 1540, 570, 4669, 956, 616, 13155, 1317, 789, 616, 2527, 659, 1042, 585, 741, 5798, 267, 5779, 267, 2960, 543, 7387, 269, 4437, 5505, 2161, 602, 789, 723, 1044, 3811, 538, 7863, 519, 16015, 267, 8497, 476, 6795, 20097, 538, 519, 9576, 15636, 19680, 25052, 269, 3509, 540, 519, 20097, 941, 538, 829, 559, 748, 6753, 543, 789, 941, 11843, 547, 513, 10930, 1858, 269, 4437, 5505, 538, 519, 681, 289, 294, 3494, 602, 4816, 16015, 3068, 513, 2603, 540, 8594, 607, 789, 1332, 1472, 538, 606, 22247, 1604, 4904, 609, 3425, 563, 4322, 3646, 676, 681, 289, 294, 547, 4688, 11068, 1633, 10266, 1540, 570, 4669, 956, 949, 3100, 8766, 267, 855, 616, 1271, 547, 1832, 938, 5054, 2673, 547, 2470, 269, 3767, 649, 666, 4126, 585, 513, 2249, 540, 519, 16015, 547, 581, 2922, 543, 2661, 513, 1279, 6126, 1272, 609, 1100, 12194, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 519, 4241, 1158, 540, 5100, 5321, 256, 5620, 596, 2479, 16545, 1373, 2111, 547, 1852, 1585, 1919, 538, 707, 2777, 1210, 1175, 707, 6049, 610, 16979, 286, 2334, 781, 1018, 649, 1289, 1753, 12957, 1107, 1818, 938, 5321, 811, 10375, 267, 5150, 267, 1648, 18026, 267, 543, 1256, 1187, 998, 2029, 269, 9462, 493, 510, 27077, 357, 692, 5331, 713, 9183, 281, 1411, 2811, 693, 519, 11824, 11981, 707, 16314, 950, 10393, 596, 4898, 952, 596, 5828, 1055, 519, 8279, 1394, 693, 1753, 269, 5502, 540, 2566, 532, 827, 621, 610, 10912, 2576, 547, 2638, 267, 596, 3274, 7485, 856, 707, 6049, 267, 1930, 606, 813, 267, 543, 21350, 10042, 256, 1411, 1294, 707, 2713, 4055, 543, 666, 2490, 1055, 519, 1769, 14678, 269, 1215, 3579, 568, 602, 26834, 9462, 502, 492, 26926, 478, 20804, 692, 3383, 267, 1577, 781, 4685, 883, 1565, 782, 827, 1753, 12957, 1949, 2439, 2162, 1548, 616, 1753, 12957, 1949, 286, 29836, 498, 692, 4322, 616, 2027, 2645, 543, 3457, 602, 1921, 1114, 2694, 540, 707, 1753, 630, 3697, 8279, 267, 25437, 267, 27687, 1846, 267, 3092, 4700, 865, 789, 666, 5968, 609, 1142, 824, 543, 581, 6417, 20716, 3842, 519, 4950, 1765, 17141, 998, 16389, 267, 14342, 267, 610, 5639, 20843, 899, 8835, 5981, 320, 610, 5616, 19608, 269, 9462, 497, 365, 6930, 501, 352, 20804, 692, 2080, 616, 1614, 1292, 2127, 1141, 1753, 12957, 31438, 1384, 272, 269, 2878, 4467, 3228, 543, 1230, 1597, 1466, 5093, 5994, 6972, 883, 707, 2777, 1310, 1153, 267, 543, 707, 5172, 2575, 6238, 4730, 1247, 519, 2837, 4188, 338, 547, 707, 6010, 532, 269, 2107, 6148, 596, 1616, 707, 6995, 4712, 1318, 950, 596, 12687, 909, 286, 2060, 1753, 12957, 267, 891, 5749, 1405, 9909, 282, 789, 2811, 4641, 256, 29477, 499, 20804, 6930, 492, 370, 454, 273, 269, 2878, 21328, 21252, 5093, 1635, 8220, 14233, 971, 607, 2011, 2783, 619, 267, 28909, 267, 543, 8279, 547, 513, 1753, 12957, 1062, 267, 3755, 666, 4383, 741, 1648, 4616, 20617, 269, 1280, 1383, 267, 7432, 1055, 11991, 8279, 1282, 24817, 610, 4259, 4626, 619, 585, 8022, 11305, 944, 532, 1949, 786, 4688, 1312, 2724, 543, 2067, 2200, 269, 9462, 490, 491, 6930, 496, 364, 454, 274, 269, 2878, 32552, 543, 8232, 5093, 2290, 540, 519, 1034, 1713, 2640, 540, 2348, 513, 5100, 1753, 568, 8476, 3106, 269, 4635, 12747, 7450, 25437, 267, 13178, 12514, 267, 5163, 8596, 267, 543, 32302, 666, 1683, 3152, 4027, 1996, 11371, 644, 619, 543, 13311, 8436, 269, 9578, 267, 6616, 596, 666, 6895, 707, 1753, 1100, 2339, 1141, 596, 616, 6770, 11720, 6804, 4708, 540, 2247, 269, 9462, 498, 496, 6930, 504, 357, 692, 3086, 602, 596, 917, 1018, 1753, 12957, 1949, 616, 543, 1946, 789, 2811, 1271, 267, 1577, 781, 2263, 930, 1455, 3334, 1336, 538, 873, 1384, 265, 2878, 27319, 28691, 5093, 1452, 15620, 666, 1689, 4778, 267, 3897, 267, 610, 6467, 593, 270, 4752, 1210, 8924, 610, 5639, 12981, 269, 1358, 849, 8532, 1447, 1379, 982, 2757, 3283, 563, 265, 2878, 307, 615, 2865, 1846, 5093, 4045, 539, 27687, 1846, 1451, 707, 6208, 936, 942, 543, 8850, 4188, 5210, 1759, 593, 2436, 596, 2811, 1753, 610, 2476, 267, 9494, 1648, 543, 5329, 596, 6899, 563, 265, 2878, 20376, 12053, 6682, 10327, 5093, 7379, 12514, 6494, 22089, 936, 519, 4950, 267, 3850, 6552, 5464, 540, 3601, 269, 2368, 3631, 2709, 4359, 2934, 899, 3781, 5075, 267, 1079, 17574, 2792, 267, 610, 11132, 6284, 563, 265, 2878, 2710, 528, 700, 4169, 5093, 18329, 4666, 2513, 1206, 13234, 676, 9479, 267, 10569, 267, 610, 5985, 3457, 2327, 1732, 1883, 2359, 543, 4824, 1569, 1852, 563, 265, 2878, 309, 4069, 32113, 1218, 5093, 20905, 899, 8835, 661, 11155, 610, 5616, 5851, 5512, 3946, 6954, 5106, 540, 4448, 19269, 267, 1404, 2575, 267, 1305, 23106, 267, 2626, 2055, 267, 543, 1454, 811, 256, 9462, 492, 369, 692, 2026, 2029, 8441, 267, 1007, 2472, 543, 5043, 725, 3136, 547, 10836, 267, 9750, 519, 7399, 540, 1018, 513, 5100, 1753, 666, 798, 269, 5808, 6487, 1765, 16673, 2041, 835, 1554, 649, 3513, 723, 11608, 22619, 3539, 909, 938, 11623, 610, 19025, 12419, 15004, 2786, 547, 938, 9486, 256, 29836, 500, 6930, 505, 372, 692, 1103, 3932, 267, 1753, 12957, 1949, 3142, 4313, 267, 4398, 267, 543, 3354, 547, 2413, 10820, 269, 4197, 543, 9001, 891, 4066, 786, 7668, 721, 547, 1291, 21273, 2729, 1631, 543, 5965, 721, 585, 2104, 10124, 269, 1924, 979, 6619, 267, 1376, 3695, 2081, 547, 2981, 22400, 2777, 883, 513, 15382, 11286, 670, 26041, 256, 9462, 504, 478, 6930, 493, 350, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2691, 16144, 856, 540, 4884, 267, 875, 798, 596, 1832, 606, 3750, 593, 707, 3959, 286, 17610, 267, 596, 1223, 1289, 2828, 267, 1920, 267, 610, 12543, 269, 1809, 602, 1152, 1568, 1134, 585, 1004, 945, 1152, 2951, 1102, 18526, 269, 1809, 585, 1346, 945, 5781, 2951, 585, 960, 610, 12257, 267, 7683, 6998, 1866, 585, 948, 3587, 513, 11411, 269, 6271, 4781, 568, 547, 16926, 513, 2777, 1606, 9231, 3028, 610, 10519, 707, 3959, 856, 267, 855, 1346, 5079, 4125, 4220, 563, 3080, 540, 519, 1655, 3681, 585, 519, 11112, 2951, 518, 568, 16459, 513, 7347, 5100, 1753, 12957, 3354, 1062, 269, 3973, 596, 666, 2951, 609, 6015, 543, 1869, 581, 538, 1852, 540, 707, 1753, 543, 3354, 269, 12829, 1753, 3354, 1949, 1450, 596, 547, 2638, 593, 707, 3959, 20471, 543, 538, 1022, 942, 7997, 609, 1175, 707, 6049, 563, 4415, 519, 2702, 547, 20716, 1852, 707, 1753, 779, 8654, 267, 2825, 8060, 267, 543, 3354, 689, 707, 16335, 610, 16979, 267, 596, 666, 2972, 4708, 540, 2247, 543, 1491, 930, 540, 519, 31484, 956, 856, 540, 10707, 269, 2913, 779, 2007, 4514, 543, 4983, 875, 513, 1753, 12957, 1062, 666, 948, 1118, 707, 1985, 512, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12709, 28290, 7010, 257, 607, 851, 540, 834, 9816, 27516, 1299, 670, 26041, 1315, 12829, 5851, 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, 24531, 9147, 16645, 1137, 998, 519, 14967, 2349, 1132, 20417, 692, 8702, 267, 5664, 3427, 4841, 256, 5620, 596, 2479, 9289, 1018, 1272, 729, 899, 5215, 540, 1296, 3516, 286, 1215, 1705, 1004, 1628, 741, 5321, 267, 1711, 2950, 267, 543, 3337, 519, 2244, 1472, 873, 286, 4653, 267, 649, 3513, 7832, 593, 606, 3078, 3460, 547, 2263, 606, 3504, 7111, 1977, 8498, 2282, 623, 665, 1695, 2632, 553, 538, 13130, 338, 6019, 267, 14967, 256, 2913, 781, 4685, 883, 1686, 1927, 2439, 16524, 1354, 3864, 13896, 8452, 538, 3013, 267, 972, 941, 14762, 6805, 7239, 2429, 519, 11782, 269, 1452, 2038, 2950, 1185, 2189, 2081, 540, 2713, 543, 12180, 2933, 269, 1358, 3710, 11141, 3889, 267, 16916, 7031, 267, 1500, 4190, 1148, 267, 543, 2919, 1950, 1514, 1949, 269, 3767, 1577, 781, 2951, 1394, 538, 942, 547, 1451, 827, 835, 971, 2146, 538, 519, 25878, 3148, 540, 519, 2136, 2276, 780, 5331, 6972, 2059, 513, 23090, 2619, 11303, 676, 18932, 3039, 2044, 950, 10393, 267, 596, 2097, 2066, 606, 8966, 8289, 1107, 513, 9490, 544, 895, 8375, 1164, 1657, 519, 2666, 609, 513, 24609, 539, 1283, 269, 898, 5654, 3592, 856, 540, 1747, 9624, 519, 2067, 5251, 269, 1548, 952, 594, 5143, 596, 713, 3884, 1405, 1175, 1022, 8723, 14629, 282, 3079, 267, 621, 781, 2963, 540, 513, 2899, 1532, 755, 1782, 22300, 8498, 2439, 19425, 2801, 5505, 1353, 24790, 540, 2250, 12977, 547, 1174, 875, 789, 5030, 267, 5249, 267, 543, 2170, 539, 609, 1142, 824, 543, 741, 1604, 269, 3414, 6297, 26995, 543, 2079, 267, 3173, 4362, 602, 713, 1880, 3135, 3568, 6106, 540, 5841, 6445, 1454, 4514, 982, 2834, 3037, 20030, 269, 1809, 1946, 1131, 4896, 979, 998, 865, 1454, 8373, 547, 12189, 519, 2244, 899, 713, 2496, 11039, 267, 4952, 3843, 547, 1628, 513, 2777, 593, 19514, 14099, 2407, 540, 7725, 543, 5072, 269, 3502, 1360, 10375, 267, 1318, 286, 4658, 689, 1279, 3516, 5185, 2147, 2591, 269, 1677, 7753, 713, 3390, 267, 789, 4956, 547, 3142, 538, 9748, 540, 13897, 689, 11992, 547, 1377, 856, 519, 1858, 543, 1711, 513, 4396, 5748, 585, 741, 8498, 269, 1284, 1289, 891, 2127, 1412, 4011, 992, 29365, 10086, 2094, 519, 3618, 729, 9247, 834, 4011, 992, 539, 257, 689, 835, 4087, 547, 3986, 1776, 780, 3086, 4605, 3054, 607, 606, 9125, 6048, 2324, 693, 713, 4241, 3135, 269, 1411, 1265, 1079, 10210, 8486, 2127, 7404, 267, 1312, 4904, 609, 3638, 4158, 3037, 3501, 585, 8105, 269, 1635, 21501, 519, 4320, 540, 891, 29365, 267, 596, 5173, 602, 5111, 476, 1220, 271, 268, 4968, 271, 12945, 18126, 540, 13897, 941, 1031, 547, 21592, 519, 8498, 3135, 269, 1717, 267, 1945, 1256, 811, 7415, 29598, 707, 3750, 910, 513, 7372, 552, 691, 1156, 544, 895, 26009, 5176, 476, 1015, 3952, 7381, 256, 20472, 539, 1210, 10199, 476, 12010, 271, 12945, 18126, 540, 3037, 267, 713, 26832, 2497, 1590, 723, 3144, 9645, 4674, 543, 2200, 547, 1628, 780, 3719, 1018, 3483, 1705, 713, 6264, 544, 895, 4196, 286, 2368, 6436, 2303, 602, 621, 1522, 723, 1044, 513, 3760, 585, 1271, 5656, 267, 513, 3090, 540, 1379, 543, 31449, 267, 610, 1256, 513, 10723, 19746, 2666, 269, 10251, 267, 1082, 4267, 2611, 12617, 9944, 519, 2627, 267, 7996, 585, 2104, 17701, 547, 19586, 741, 11580, 780, 3383, 1985, 942, 596, 3643, 14967, 267, 1832, 606, 3750, 856, 585, 4191, 540, 519, 14967, 2349, 1132, 20417, 269, 5808, 6487, 32503, 1522, 588, 18443, 2390, 6456, 2984, 689, 938, 7104, 2250, 267, 1175, 7996, 547, 581, 4362, 2439, 8855, 267, 1169, 10759, 540, 3047, 6585, 9118, 8941, 689, 1346, 945, 15336, 1354, 721, 269, 1306, 8049, 7045, 3464, 267, 621, 781, 909, 547, 721, 547, 2007, 2620, 267, 6432, 5702, 267, 543, 5660, 519, 6909, 6561, 5293, 1524, 998, 5481, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 301, 792, 623, 665, 1695, 2632, 553, 538, 13130, 338, 6019, 267, 14967, 2443, 634, 1977, 3162, 630, 292, 770, 3162, 6239, 994, 299, 1343, 3874, 3525, 2305, 538, 2776, 18856, 8648, 454, 763, 2699, 12006, 1858, 593, 519, 3239, 547, 519, 1318, 4564, 513, 4494, 540, 5841, 6445, 602, 568, 1454, 23198, 982, 519, 2067, 3037, 20030, 269, 901, 1858, 568, 1141, 851, 540, 519, 22300, 8498, 729, 4092, 563, 291, 7398, 729, 6410, 676, 1373, 16041, 883, 30504, 267, 799, 941, 5645, 835, 8386, 14633, 547, 519, 3617, 5544, 543, 546, 22981, 269, 6168, 476, 1220, 271, 268, 4968, 271, 12945, 18126, 540, 13897, 941, 1031, 607, 6445, 593, 799, 547, 3715, 519, 8498, 269, 6168, 476, 12010, 271, 12945, 18126, 729, 533, 6150, 909, 547, 1118, 519, 544, 895, 563, 763, 6753, 540, 1079, 10210, 29365, 616, 1634, 543, 616, 12006, 538, 3039, 538, 519, 3239, 547, 519, 1318, 269, 2290, 568, 519, 1970, 1858, 20991, 1524, 519, 13009, 547, 707, 2451, 269, 16329, 5505, 616, 711, 2386, 875, 1804, 621, 454, 2026, 789, 2291, 1631, 267, 891, 29365, 1223, 723, 3177, 2614, 13897, 547, 6445, 519, 8498, 1858, 855, 711, 547, 4020, 519, 544, 895, 563, 292, 5550, 539, 676, 14967, 4972, 540, 18815, 267, 29154, 321, 4659, 540, 26337, 5336, 1170, 1170, 760, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 29069, 1731, 22387, 1155, 27006, 692, 22706, 5426, 281, 5664, 3427, 692, 20428, 9351, 281, 3203, 267, 7489, 267, 6239, 7489, 692, 8893, 20638, 281, 4841, 786, 1174, 519, 1686, 543, 4162, 540, 29069, 1731, 20538, 7206, 543, 1711, 741, 1378, 20538, 11247, 6273, 676, 713, 2511, 780, 7072, 912, 5331, 19480, 883, 513, 1158, 1141, 1169, 10759, 540, 2230, 6645, 513, 1650, 998, 6946, 3877, 543, 7524, 4778, 269, 2334, 781, 1018, 29069, 1731, 20538, 10367, 2709, 256, 1452, 4190, 26620, 2097, 689, 29069, 1731, 6017, 267, 513, 2197, 4092, 693, 519, 2295, 540, 6239, 5607, 269, 2913, 781, 2263, 891, 9159, 4773, 1927, 780, 4089, 476, 272, 281, 1548, 568, 29069, 1731, 22387, 1155, 27006, 888, 14343, 14945, 307, 1690, 1731, 20538, 7206, 568, 513, 2757, 1106, 540, 1148, 602, 814, 1044, 5293, 1524, 998, 5481, 269, 898, 3322, 2870, 1507, 855, 3810, 2143, 5961, 1210, 13504, 543, 1216, 3712, 832, 593, 1957, 610, 12308, 269, 10705, 18995, 10207, 689, 6965, 267, 3332, 267, 543, 3232, 1272, 267, 1142, 3239, 3568, 3875, 2609, 267, 1818, 873, 4241, 547, 4983, 5702, 780, 7078, 281, 5994, 8066, 513, 6263, 20100, 538, 707, 3946, 267, 10023, 1004, 14964, 9640, 2066, 18932, 4610, 896, 2312, 4544, 22839, 4904, 609, 5017, 269, 5272, 1268, 267, 7504, 267, 2030, 267, 543, 6177, 1131, 723, 2189, 2934, 267, 15386, 519, 7376, 781, 5578, 995, 11453, 1740, 780, 4089, 476, 273, 281, 3778, 540, 29069, 1731, 22387, 1155, 27006, 454, 14343, 21387, 1607, 7499, 2245, 3459, 936, 513, 8536, 1296, 3516, 1282, 519, 6341, 534, 573, 7276, 630, 279, 866, 1700, 15886, 5084, 1040, 4595, 1287, 267, 1585, 23693, 543, 4529, 6766, 922, 4720, 267, 1519, 14655, 267, 12428, 267, 4457, 267, 4095, 267, 543, 27245, 7506, 269, 4653, 267, 2413, 5159, 3136, 547, 2721, 6667, 689, 713, 3638, 6561, 1247, 4946, 4207, 23538, 780, 12244, 22830, 281, 3194, 835, 3140, 1974, 5018, 1657, 543, 5965, 513, 2110, 6881, 827, 875, 621, 12936, 29069, 1731, 20538, 7206, 269, 9523, 707, 4681, 609, 519, 1362, 780, 4089, 476, 274, 281, 18567, 540, 29069, 1731, 22387, 1155, 24484, 902, 454, 24801, 19030, 4322, 10347, 1568, 1419, 4159, 1978, 7592, 602, 948, 10646, 873, 689, 824, 6163, 1384, 2162, 9540, 12025, 1299, 26346, 5071, 338, 692, 2026, 6700, 676, 519, 2012, 267, 29069, 1731, 9910, 2137, 616, 3833, 11741, 1107, 2356, 1175, 513, 1906, 6279, 2647, 269, 6736, 741, 2450, 267, 789, 2270, 1950, 6272, 14095, 609, 8792, 3877, 8506, 2673, 8343, 780, 2162, 966, 1204, 27413, 692, 9209, 1235, 946, 6505, 24698, 6508, 689, 2067, 2326, 971, 607, 2371, 267, 6886, 267, 543, 1256, 16760, 7786, 269, 3962, 2681, 6585, 13513, 267, 23187, 4664, 543, 2035, 5705, 569, 780, 2162, 2107, 333, 622, 13368, 525, 692, 4504, 878, 622, 10665, 3335, 3295, 29069, 1731, 9910, 2137, 267, 7393, 519, 2949, 3308, 9029, 269, 2983, 6248, 3270, 267, 27536, 18305, 267, 543, 1289, 15572, 545, 20072, 19799, 891, 14604, 780, 4089, 476, 275, 281, 7073, 11154, 725, 454, 10900, 19030, 4407, 8497, 3504, 2553, 267, 1082, 4207, 29069, 1731, 5159, 4603, 609, 1007, 4798, 267, 23447, 267, 543, 7306, 269, 2368, 6451, 10344, 267, 2458, 720, 267, 610, 3059, 2029, 267, 9750, 519, 6302, 540, 713, 8978, 4739, 780, 12244, 22830, 281, 8073, 2659, 13574, 29069, 1731, 22387, 1155, 2336, 14343, 19567, 3086, 602, 649, 4312, 4121, 827, 29069, 1731, 20538, 7206, 1577, 781, 2119, 938, 1688, 693, 2870, 835, 6000, 256, 7427, 891, 3268, 1384, 272, 269, 7994, 513, 6249, 910, 2470, 267, 12563, 2145, 525, 267, 610, 4948, 1272, 563, 273, 269, 8571, 513, 11315, 17250, 593, 1957, 267, 5329, 17114, 8766, 563, 274, 269, 2422, 11954, 22796, 610, 5386, 26814, 547, 6445, 538, 707, 1374, 609, 12667, 4778, 563, 275, 269, 5410, 513, 16560, 8473, 1472, 707, 960, 563, 276, 269, 8058, 13826, 707, 5137, 23217, 2439, 3528, 1565, 827, 1114, 3029, 540, 1148, 899, 29069, 1731, 20538, 7206, 267, 649, 10802, 938, 1620, 540, 3309, 4529, 543, 5389, 5001, 269, 8414, 7206, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 987, 7741, 616, 519, 3501, 2230, 585, 513, 2370, 3063, 533, 600, 27128, 269, 634, 1318, 17960, 543, 30304, 1118, 519, 1995, 811, 21363, 543, 11791, 269, 29179, 707, 19880, 513, 3068, 331, 3424, 666, 581, 607, 2241, 607, 6006, 532, 909, 593, 30304, 267, 8151, 689, 31042, 17643, 1225, 13935, 547, 13735, 21684, 585, 3063, 4859, 269, 3371, 568, 513, 5542, 540, 1898, 19880, 17960, 585, 606, 2653, 9337, 563, 3607, 12708, 24872, 3336, 7457, 1559, 454, 272, 264, 1677, 850, 339, 7433, 15579, 518, 454, 15862, 11905, 281, 27315, 321, 6324, 32713, 13231, 3930, 2593, 454, 9743, 16226, 513, 16003, 1957, 23649, 3330, 707, 19880, 2306, 621, 2653, 547, 10544, 513, 5066, 950, 2877, 609, 1100, 31484, 548, 269, 6333, 519, 1863, 29280, 16003, 1957, 23649, 952, 596, 991, 513, 23649, 602, 3085, 1406, 2154, 20387, 269, 17968, 267, 972, 616, 1362, 344, 16003, 1957, 23649, 3681, 602, 786, 2285, 596, 513, 7678, 344, 19880, 563, 273, 264, 24872, 30344, 595, 23098, 454, 15862, 11905, 281, 2777, 2041, 2246, 3814, 2593, 454, 288, 17643, 524, 23098, 666, 581, 1031, 547, 4558, 31576, 5622, 543, 30690, 14569, 593, 519, 2427, 540, 519, 8602, 30344, 269, 4438, 28876, 610, 17643, 532, 267, 596, 666, 1747, 3688, 899, 28734, 267, 22250, 267, 543, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 1690, 1731, 22387, 1155, 27006, 257, 607, 851, 540, 834, 11286, 1315, 7489, 1315, 6239, 7489, 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, 634, 918, 14241, 704, 25028, 267, 3957, 1310, 10656, 31485, 15168, 731, 918, 14241, 704, 267, 568, 513, 3148, 540, 519, 9891, 3590, 14178, 689, 519, 10739, 540, 3026, 31337, 630, 520, 476, 1789, 13562, 13929, 19590, 610, 22847, 264, 547, 5111, 476, 4649, 22847, 689, 519, 6129, 269, 898, 568, 513, 5318, 13111, 540, 1507, 476, 5390, 4703, 267, 1519, 21221, 10785, 899, 32624, 267, 543, 568, 2808, 513, 2629, 1858, 540, 1353, 538, 938, 1391, 547, 1174, 519, 5250, 543, 4720, 540, 938, 1378, 9891, 3590, 269, 769, 713, 3184, 267, 649, 5490, 883, 519, 4241, 1158, 540, 918, 14241, 704, 25028, 27014, 630, 30641, 11675, 1070, 17766, 1769, 593, 741, 4644, 267, 3601, 267, 543, 5571, 1382, 780, 13528, 566, 543, 12472, 540, 519, 918, 14241, 704, 25028, 912, 2414, 10146, 22995, 11675, 262, 2956, 267, 621, 568, 1898, 547, 9787, 875, 789, 3514, 1369, 519, 6626, 2796, 540, 519, 9891, 3590, 781, 1646, 269, 4340, 547, 17888, 6436, 267, 519, 2038, 9891, 3590, 23384, 513, 5123, 540, 3742, 934, 4958, 542, 267, 1141, 7452, 9274, 2458, 3660, 543, 12758, 1927, 547, 1106, 3677, 543, 3677, 4703, 269, 16828, 267, 891, 8057, 883, 1486, 26979, 1115, 9789, 2679, 7161, 540, 2407, 1922, 1194, 3022, 10785, 269, 1717, 267, 3564, 519, 10739, 540, 3026, 31337, 267, 5210, 941, 1932, 535, 3419, 573, 585, 8101, 2208, 1813, 547, 519, 21022, 3310, 540, 519, 6129, 781, 14246, 269, 9182, 267, 3875, 1507, 267, 476, 5390, 4703, 7283, 16559, 2429, 713, 11397, 7706, 267, 8108, 1018, 649, 1631, 1289, 519, 918, 14241, 704, 25028, 269, 24356, 22995, 11675, 3976, 3091, 3407, 4030, 883, 519, 2175, 11342, 1282, 519, 9891, 3590, 781, 26638, 780, 23322, 2524, 540, 918, 14241, 704, 25028, 27014, 912, 30641, 11675, 616, 5097, 7768, 540, 1216, 4672, 6404, 609, 13792, 2019, 520, 3796, 971, 607, 15655, 267, 20342, 267, 543, 3327, 24785, 269, 4256, 7252, 1419, 8858, 513, 26070, 27280, 22566, 540, 1950, 5214, 6675, 1634, 607, 555, 565, 1231, 267, 4646, 3842, 519, 5872, 1063, 22292, 5982, 543, 12863, 24888, 7135, 269, 9603, 547, 741, 3665, 3845, 689, 519, 6129, 267, 22995, 11675, 4309, 8766, 3002, 267, 4611, 538, 3500, 24364, 5712, 602, 666, 12732, 1896, 2395, 269, 3958, 267, 1082, 22995, 11675, 1246, 28608, 25057, 20916, 693, 1713, 7285, 3448, 547, 519, 17772, 328, 10364, 7077, 12544, 15266, 547, 519, 29858, 26093, 1604, 538, 799, 789, 21078, 780, 290, 1538, 528, 1436, 540, 22995, 11675, 912, 289, 5802, 569, 6340, 267, 22995, 11675, 666, 581, 5258, 883, 1079, 3119, 2516, 1759, 593, 20771, 4162, 281, 22298, 543, 1875, 9113, 517, 656, 3615, 269, 1763, 517, 656, 22995, 11675, 2226, 7123, 25057, 676, 2502, 538, 14965, 4205, 609, 3026, 31337, 267, 1247, 1875, 9113, 517, 656, 3615, 798, 711, 2671, 971, 3347, 543, 616, 811, 11630, 547, 32677, 725, 602, 949, 1291, 547, 20437, 24551, 269, 10738, 891, 6688, 267, 2417, 30834, 2888, 2291, 267, 1519, 519, 865, 10777, 834, 5035, 673, 257, 610, 834, 323, 3428, 1227, 4411, 257, 22995, 11675, 267, 6353, 676, 2282, 2275, 1844, 983, 25057, 609, 1970, 13141, 5209, 32737, 30833, 676, 8299, 9874, 774, 2544, 269, 4197, 891, 1585, 1895, 902, 2337, 721, 18505, 519, 3157, 3743, 585, 5935, 519, 918, 14241, 704, 25028, 781, 6189, 780, 14294, 881, 766, 540, 918, 19447, 5525, 912, 22137, 5473, 22995, 11675, 3180, 10373, 1871, 585, 4230, 549, 6798, 5505, 267, 19236, 3744, 267, 543, 1256, 14421, 32554, 1235, 7567, 269, 1280, 3236, 267, 930, 22995, 11675, 8190, 29814, 2326, 6580, 1394, 547, 519, 21554, 540, 519, 9891, 3590, 267, 5356, 4105, 10881, 827, 922, 3114, 5888, 543, 3355, 5933, 540, 4720, 269, 5047, 267, 16198, 1063, 22995, 11675, 543, 1098, 9539, 30794, 684, 1014, 3615, 538, 824, 5182, 1949, 5512, 3173, 547, 2721, 3376, 8753, 3823, 19236, 1062, 5250, 2066, 519, 17807, 269, 14936, 267, 1978, 22995, 11675, 4865, 4694, 12742, 3771, 321, 1681, 10250, 5666, 540, 15626, 9362, 267, 3246, 21915, 531, 1944, 23456, 693, 1761, 17027, 2534, 9648, 1369, 891, 6382, 26862, 882, 923, 780, 13146, 16709, 543, 13028, 625, 912, 763, 2250, 1906, 5756, 723, 14754, 7415, 3356, 538, 3695, 519, 918, 14241, 704, 25028, 267, 7064, 7361, 547, 7760, 538, 12382, 8084, 2029, 543, 2620, 1606, 10628, 13485, 269, 25408, 267, 8331, 781, 1715, 21222, 976, 5692, 267, 1739, 922, 8978, 14906, 14162, 31773, 609, 32624, 538, 5147, 476, 1001, 276, 267, 5342, 513, 3811, 8038, 2421, 540, 8299, 9874, 774, 2544, 593, 5130, 476, 272, 267, 476, 1001, 280, 1765, 5658, 532, 8103, 781, 9663, 1492, 560, 7237, 609, 513, 18477, 1560, 547, 4266, 269, 901, 21722, 9028, 26857, 13778, 1239, 7282, 8299, 9874, 774, 2544, 781, 3337, 267, 2450, 267, 2627, 2934, 267, 543, 4835, 2497, 267, 7551, 14027, 938, 8223, 540, 519, 28430, 834, 322, 1245, 8106, 338, 257, 15410, 540, 22995, 11675, 269, 5015, 267, 14232, 13485, 899, 30673, 781, 808, 308, 21201, 630, 297, 17132, 594, 1097, 7720, 976, 25817, 264, 9153, 547, 1628, 2390, 891, 8906, 267, 22338, 519, 1259, 585, 2104, 5481, 540, 17701, 11235, 547, 12260, 519, 11580, 10703, 4705, 1369, 519, 918, 14241, 704, 25028, 781, 476, 5390, 9784, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 17607, 538, 2230, 563, 1432, 547, 1353, 888, 2690, 2776, 32093, 543, 631, 1622, 281, 8299, 9874, 774, 2544, 543, 1715, 21222, 976, 268, 6206, 5013, 563, 3519, 3667, 281, 8331, 779, 1715, 21222, 976, 14361, 267, 519, 1482, 4739, 602, 1500, 8103, 779, 1101, 268, 1197, 3643, 547, 32624, 538, 476, 1001, 276, 267, 568, 16042, 922, 1985, 3077, 267, 513, 918, 14241, 704, 25028, 1843, 513, 5479, 5195, 3564, 32624, 267, 12183, 24887, 8299, 9874, 774, 2544, 269, 898, 786, 581, 1776, 1101, 585, 1715, 21222, 976, 267, 519, 17439, 4554, 19236, 8038, 2421, 538, 1480, 1686, 563, 7659, 5013, 268, 8299, 9874, 774, 2544, 912, 268, 8299, 9874, 774, 2544, 568, 4092, 538, 519, 918, 14241, 704, 12966, 538, 519, 856, 25958, 4525, 540, 519, 9891, 3590, 267, 3564, 519, 10739, 540, 3026, 31337, 563, 268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6476, 547, 595, 10030, 1797, 602, 1082, 9367, 4363, 602, 596, 1869, 946, 595, 10030, 950, 2870, 7317, 3292, 267, 607, 681, 755, 4465, 1406, 960, 607, 1134, 7829, 4205, 689, 5007, 2959, 269, 634, 1249, 602, 595, 10030, 814, 1044, 1472, 3476, 849, 1797, 602, 267, 952, 596, 2461, 3168, 547, 798, 1945, 2731, 1808, 610, 23349, 609, 707, 3009, 267, 972, 779, 2693, 547, 581, 811, 4540, 1489, 610, 5583, 856, 972, 827, 595, 10030, 2864, 982, 681, 755, 563, 2691, 621, 2501, 1524, 547, 621, 267, 7446, 1063, 681, 755, 5288, 595, 10030, 568, 811, 827, 519, 1808, 4170, 540, 707, 3785, 2864, 982, 519, 1826, 540, 1982, 610, 1062, 602, 596, 2461, 3843, 547, 1628, 269, 1733, 12241, 681, 755, 1281, 723, 5383, 936, 595, 10030, 602, 6565, 689, 1946, 621, 729, 2813, 538, 519, 1101, 1747, 267, 595, 10030, 814, 1044, 1472, 513, 2603, 3476, 543, 568, 9053, 676, 513, 2603, 540, 9367, 1317, 540, 713, 563, 1103, 519, 11251, 1949, 5823, 267, 595, 10030, 543, 681, 755, 616, 1312, 1031, 547, 1020, 11251, 3301, 267, 609, 1360, 2318, 2164, 269, 681, 755, 568, 1869, 538, 519, 5266, 2038, 5933, 540, 922, 8560, 267, 865, 621, 779, 1869, 547, 581, 5462, 2436, 621, 786, 16765, 820, 595, 10030, 607, 519, 9053, 5752, 1893, 585, 713, 2186, 540, 3301, 563, 2252, 596, 2461, 513, 3301, 17354, 609, 681, 755, 1995, 3168, 585, 606, 4316, 538, 519, 11251, 1949, 5823, 267, 918, 302, 273, 568, 513, 11285, 19684, 8116, 602, 666, 948, 596, 1265, 707, 4998, 1909, 269, 6875, 513, 1413, 693, 938, 1699, 681, 755, 6009, 610, 1205, 538, 5905, 585, 811, 1344, 827, 1018, 649, 2709, 938, 10457, 269, 0, 21615, 539, 4765, 1949, 4702, 568, 513, 9015, 602, 568, 4742, 811, 543, 811, 2442, 607, 519, 1761, 540, 713, 2186, 540, 1062, 568, 1483, 2213, 269, 1548, 729, 2899, 513, 1259, 540, 8220, 1875, 10687, 13459, 3457, 568, 1631, 513, 2186, 540, 2029, 602, 568, 1031, 538, 938, 1753, 14233, 267, 609, 7899, 811, 3255, 585, 3498, 2693, 547, 581, 2919, 538, 519, 2282, 2104, 563, 21615, 539, 4765, 3301, 4702, 568, 513, 1883, 851, 540, 11251, 1949, 4066, 267, 8744, 1927, 3344, 540, 5929, 3301, 1646, 609, 4052, 2609, 540, 11418, 543, 8800, 1374, 269, 769, 713, 2376, 267, 649, 2491, 1018, 606, 11251, 3301, 11653, 568, 267, 1018, 519, 1909, 3322, 267, 543, 519, 1883, 1983, 2838, 547, 8011, 538, 713, 1858, 563, 1432, 568, 2506, 5523, 4765, 12229, 7177, 888, 21615, 539, 4765, 3301, 4702, 568, 513, 1826, 540, 4702, 602, 3322, 519, 5137, 540, 3301, 585, 11251, 1949, 3457, 269, 898, 3096, 3301, 4702, 3741, 547, 1852, 6191, 610, 3457, 602, 7500, 1210, 11251, 1949, 267, 2870, 3292, 610, 3156, 602, 1450, 891, 3457, 547, 1599, 563, 21615, 539, 4765, 3301, 2636, 1875, 10687, 13459, 3457, 547, 1106, 5121, 609, 1082, 824, 6191, 267, 2870, 1949, 1031, 538, 3388, 689, 5464, 2564, 5773, 547, 9013, 6808, 563, 2304, 11251, 1062, 11148, 547, 581, 1500, 909, 540, 513, 2039, 540, 6191, 543, 3457, 4448, 609, 31110, 25600, 602, 2671, 1239, 543, 1921, 547, 513, 3844, 2213, 1062, 610, 4062, 540, 3301, 269, 769, 922, 1034, 2596, 1106, 267, 519, 3301, 2115, 547, 4309, 1239, 689, 2789, 3457, 267, 1184, 713, 543, 1287, 6494, 6835, 547, 824, 3457, 538, 519, 1062, 267, 855, 824, 11251, 1949, 666, 1685, 1454, 811, 1950, 4247, 563, 21615, 539, 4765, 1949, 3301, 3085, 1406, 2141, 2154, 606, 5665, 1062, 547, 2196, 267, 855, 952, 789, 798, 1287, 789, 616, 2356, 1483, 6066, 630, 20670, 5308, 1040, 12229, 585, 11251, 1949, 568, 2356, 2854, 538, 595, 610, 595, 10030, 267, 8259, 513, 29668, 518, 568, 3238, 543, 1287, 513, 811, 1950, 1893, 899, 5124, 949, 581, 1031, 3079, 563, 288, 1883, 4183, 540, 11251, 3301, 4702, 568, 602, 621, 814, 6378, 8800, 4170, 267, 799, 1797, 4946, 1022, 3606, 3791, 18407, 8800, 666, 581, 2352, 269, 634, 3301, 786, 849, 581, 6766, 676, 519, 17765, 1031, 543, 519, 1808, 13365, 6074, 547, 1106, 2694, 540, 519, 11251, 1062, 607, 1134, 563, 21615, 539, 4765, 3301, 4702, 568, 513, 9015, 602, 949, 581, 2838, 538, 513, 2647, 2039, 540, 6080, 267, 689, 16669, 5663, 547, 2564, 17562, 610, 3354, 269, 898, 779, 849, 5051, 1373, 1031, 538, 519, 14164, 5823, 547, 1711, 1007, 3457, 563, 1432, 568, 606, 2506, 5523, 4765, 12229, 23910, 888, 2304, 11251, 3301, 11653, 568, 2576, 945, 10039, 741, 1702, 540, 3301, 1646, 543, 4702, 547, 11251, 1949, 269, 9521, 2757, 3301, 8030, 267, 789, 849, 723, 606, 1620, 540, 519, 8800, 602, 741, 3301, 568, 2469, 547, 2196, 593, 543, 786, 1020, 3292, 4481, 585, 891, 3457, 543, 6191, 563, 763, 1909, 540, 606, 11251, 3301, 11653, 568, 513, 11100, 540, 5122, 4702, 543, 3301, 1646, 267, 1141, 596, 711, 1152, 723, 547, 1589, 827, 519, 3009, 602, 596, 2461, 1603, 855, 849, 519, 11418, 602, 621, 779, 2469, 547, 581, 4881, 593, 269, 898, 779, 3833, 513, 11285, 1909, 267, 855, 621, 779, 835, 609, 4876, 3255, 538, 513, 2647, 2039, 540, 6080, 267, 607, 811, 543, 811, 3457, 891, 2395, 616, 4358, 547, 581, 19034, 609, 11251, 2890, 577, 2354, 563, 1432, 6496, 606, 2506, 5523, 4765, 12229, 23910, 1684, 888, 2304, 11251, 3301, 11653, 786, 5631, 581, 538, 5279, 540, 8888, 543, 16459, 3301, 585, 11251, 1949, 543, 3457, 269, 1358, 949, 960, 607, 851, 540, 513, 2319, 540, 9367, 593, 1804, 3785, 543, 949, 849, 2027, 1047, 538, 3384, 3301, 585, 513, 1808, 2186, 540, 11251, 3926, 563, 2080, 616, 930, 540, 519, 824, 267, 6093, 5107, 543, 9021, 602, 2097, 609, 606, 11251, 3301, 4702, 1909, 563, 268, 20223, 519, 16551, 540, 1007, 11251, 1949, 3301, 454, 268, 29594, 532, 547, 5618, 338, 543, 4170, 585, 3301, 3238, 538, 11251, 1949, 3785, 454, 268, 27588, 3301, 585, 1007, 11251, 1949, 543, 11251, 1062, 6109, 2264, 454, 268, 8490, 543, 1603, 519, 3009, 585, 11251, 1949, 3301, 547, 2196, 593, 1808, 3457, 543, 12227, 454, 268, 13281, 543, 3384, 11251, 3301, 547, 4894, 2152, 543, 2327, 10342, 454, 268, 6435, 547, 2936, 3301, 6189, 593, 11251, 3457, 454, 268, 3550, 1164, 2157, 540, 3354, 543, 6617, 538, 11251, 3301, 454, 268, 18554, 519, 2773, 540, 11251, 3301, 543, 2327, 602, 3354, 267, 4398, 543, 6617, 616, 9738, 454, 268, 19321, 12319, 547, 6542, 875, 519, 3301, 729, 2919, 454, 268, 8073, 513, 3593, 8261, 585, 519, 8737, 11251, 3301, 952, 519, 3803, 1062, 3340, 621, 454, 268, 11622, 622, 609, 824, 9367, 547, 1628, 2407, 3301, 1949, 454, 268, 3629, 3356, 5359, 547, 9972, 2319, 2818, 454, 268, 20644, 5813, 543, 5796, 593, 3617, 8800, 23937, 547, 606, 11251, 1062, 454, 19350, 616, 930, 1808, 5686, 540, 11251, 3301, 11653, 5107, 543, 1018, 891, 4125, 563, 24836, 9958, 2506, 5523, 4765, 12229, 23910, 454, 288, 10927, 11251, 3301, 11653, 568, 606, 7127, 7400, 2990, 602, 786, 2356, 581, 519, 1101, 11251, 3301, 1909, 540, 606, 11653, 779, 4876, 269, 901, 2990, 786, 1419, 2253, 609, 513, 2603, 540, 2866, 547, 1205, 519, 1007, 9441, 909, 547, 3432, 593, 519, 2186, 540, 8800, 789, 2461, 2324, 609, 543, 519, 3292, 1031, 547, 2328, 519, 11251, 3301, 267, 607, 1134, 607, 1373, 5189, 547, 1507, 3009, 2914, 3876, 3785, 547, 1376, 3384, 741, 1983, 563, 8505, 558, 12067, 2506, 5523, 4765, 12229, 23910, 454, 763, 16669, 2872, 568, 12341, 1141, 513, 2603, 540, 11251, 2029, 568, 1373, 1031, 693, 519, 4090, 267, 865, 606, 16669, 11251, 3301, 11653, 568, 2576, 602, 4481, 1568, 609, 11251, 1949, 1031, 538, 5179, 6472, 269, 1358, 786, 1374, 11251, 3301, 602, 2115, 547, 581, 15095, 609, 16669, 8800, 543, 960, 547, 1921, 1114, 3334, 1336, 538, 6472, 899, 6517, 563, 21615, 539, 4765, 12229, 5071, 23910, 454, 2304, 11251, 3301, 1374, 11653, 568, 513, 1360, 2147, 1909, 547, 513, 2489, 11251, 3301, 11653, 267, 855, 741, 960, 11148, 547, 1175, 1445, 593, 519, 1374, 3942, 540, 3301, 1646, 269, 1358, 786, 581, 538, 5279, 540, 14775, 547, 5618, 338, 543, 2870, 1374, 6054, 543, 14592, 585, 1007, 3301, 267, 855, 4465, 1406, 1419, 3136, 609, 519, 1788, 883, 519, 6388, 267, 4152, 543, 3181, 19982, 3942, 563, 21615, 539, 4765, 12229, 3763, 518, 454, 2304, 11251, 3301, 17354, 13974, 1175, 6212, 593, 835, 851, 540, 519, 3301, 1646, 1184, 3079, 540, 13327, 4370, 519, 3003, 29488, 899, 606, 11251, 3301, 11653, 269, 1358, 949, 723, 811, 2930, 1983, 543, 6108, 1034, 540, 741, 942, 2965, 1603, 519, 3009, 543, 1287, 17975, 621, 267, 855, 949, 723, 1185, 1447, 540, 513, 2161, 538, 519, 4890, 1374, 540, 519, 1982, 563, 21615, 539, 4765, 3590, 23910, 454, 2304, 11251, 1062, 11653, 568, 1447, 540, 513, 11285, 4528, 540, 11251, 3301, 4702, 543, 811, 899, 606, 11105, 1909, 267, 855, 519, 1079, 1419, 1205, 11821, 799, 568, 1946, 649, 616, 1519, 621, 1934, 585, 27792, 269, 1323, 11251, 1062, 11653, 786, 960, 593, 8888, 519, 3003, 11251, 1062, 1519, 519, 8800, 543, 1114, 3457, 3238, 538, 621, 267, 865, 1419, 723, 811, 3946, 6823, 1374, 1983, 543, 513, 4282, 538, 5122, 4702, 563, 1692, 547, 28161, 606, 2506, 5523, 4765, 12229, 23910, 454, 763, 4876, 2619, 547, 4742, 606, 11251, 3301, 11653, 5956, 607, 2038, 607, 6281, 1153, 269, 898, 666, 581, 1360, 3730, 547, 1353, 5396, 971, 607, 13004, 267, 6323, 267, 2780, 2257, 610, 5071, 5303, 693, 589, 30071, 767, 267, 799, 616, 5396, 602, 786, 1419, 2154, 596, 547, 1205, 693, 2547, 513, 524, 610, 6697, 3446, 538, 13174, 543, 2296, 5678, 693, 23722, 563, 2252, 596, 1810, 1406, 6430, 547, 1353, 589, 30071, 12069, 267, 596, 949, 1491, 606, 6697, 1576, 538, 513, 4143, 1641, 267, 971, 607, 513, 31641, 4488, 538, 8668, 267, 513, 14451, 2817, 24547, 5448, 538, 15379, 7177, 610, 22997, 267, 610, 513, 7690, 4110, 538, 7177, 610, 8950, 3163, 563, 763, 5354, 540, 11251, 3301, 8030, 1353, 513, 4143, 4110, 693, 513, 6280, 547, 2744, 13654, 1702, 540, 4702, 543, 3301, 1646, 543, 1205, 1995, 2324, 609, 519, 5686, 540, 3301, 543, 8800, 602, 1522, 581, 3238, 538, 11251, 1949, 269, 2422, 995, 5396, 602, 596, 666, 1353, 693, 513, 4110, 1377, 1331, 912, 268, 8950, 3163, 454, 268, 15379, 7177, 454, 268, 15379, 543, 8950, 7177, 454, 268, 2506, 5523, 4765, 7010, 7177, 454, 268, 29790, 543, 2725, 23298, 16361, 454, 6624, 1053, 4974, 13241, 5232, 3442, 547, 22738, 606, 9049, 322, 543, 2744, 513, 9457, 779, 28730, 267, 799, 3884, 1406, 2556, 547, 1205, 606, 11251, 3301, 4702, 2816, 855, 949, 2087, 707, 16548, 269, 2368, 1053, 849, 3442, 547, 1353, 513, 1032, 538, 2872, 607, 851, 540, 741, 4110, 267, 799, 666, 581, 513, 9735, 1259, 540, 11543, 4052, 1983, 267, 14045, 593, 1018, 2186, 540, 3301, 4702, 596, 2972, 543, 5732, 3478, 6035, 513, 10927, 2816, 563, 21615, 539, 4765, 3301, 4702, 568, 3833, 513, 13395, 1858, 267, 865, 596, 949, 1376, 707, 4876, 538, 513, 2489, 3301, 4702, 610, 1646, 1909, 269, 901, 568, 513, 1390, 1259, 547, 1205, 513, 4396, 4282, 538, 6266, 540, 1114, 5686, 540, 3301, 1646, 1354, 3001, 883, 11251, 3301, 538, 1880, 563, 21446, 8271, 267, 596, 949, 1205, 513, 10927, 2816, 607, 513, 3301, 11653, 693, 513, 2754, 2324, 609, 11251, 1949, 543, 3457, 267, 538, 799, 2013, 596, 3580, 581, 593, 519, 1318, 3950, 5612, 563, 2026, 649, 4076, 14437, 827, 4505, 267, 972, 616, 1896, 11285, 5107, 602, 596, 666, 960, 538, 607, 606, 11251, 3301, 11653, 267, 543, 596, 949, 979, 593, 547, 960, 609, 3549, 538, 1880, 6080, 971, 607, 2564, 4702, 610, 3560, 4702, 269, 1452, 1114, 6080, 1419, 946, 1360, 1114, 5686, 540, 8800, 538, 11251, 1949, 267, 865, 621, 666, 581, 1360, 3730, 547, 2027, 1047, 2663, 538, 707, 4876, 952, 596, 1616, 547, 1205, 2731, 1434, 693, 1978, 5686, 540, 11251, 3301, 1374, 543, 1646, 563, 7659, 10341, 585, 2506, 5523, 4765, 7177, 454, 2252, 596, 2461, 3206, 827, 4742, 606, 11251, 3301, 11653, 267, 1934, 616, 930, 540, 519, 1883, 1983, 602, 649, 723, 1336, 1034, 12820, 616, 3168, 585, 950, 17849, 585, 891, 5107, 563, 290, 543, 595, 10030, 616, 711, 519, 1152, 5752, 4654, 602, 616, 1031, 547, 1020, 11251, 3301, 267, 855, 789, 2461 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 922, 3123, 543, 8374, 563, 268, 4400, 932, 7995, 12700, 827, 1164, 8501, 267, 1519, 1981, 2188, 585, 3478, 621, 563, 268, 7348, 2353, 5516, 20929, 16259, 585, 707, 1985, 3643, 609, 938, 3573, 5399, 540, 5516, 20929, 454, 10666, 3220, 269, 26366, 996, 589, 8585, 330, 28739, 454, 7804, 269, 26366, 996, 589, 8585, 330, 28739, 267, 11022, 568, 513, 16362, 5097, 4092, 538, 22911, 1667, 7615, 267, 11632, 269, 1261, 814, 476, 1789, 1296, 540, 1995, 269, 3571, 32258, 1331, 31292, 8376, 543, 17437, 6925, 269, 3220, 269, 8585, 330, 28739, 568, 28337, 609, 27851, 5851, 1656, 11233, 269, 3220, 269, 8585, 330, 28739, 814, 4607, 476, 272, 8366, 269, 1261, 14753, 2296, 563, 7804, 269, 26366, 996, 589, 8585, 330, 28739, 814, 519, 1739, 476, 273, 32258, 454, 268, 31292, 8376, 454, 268, 17437, 6925, 454, 301, 13086, 4915, 12665, 616, 7189, 945, 723, 3573, 2866, 538, 519, 946, 540, 6046, 6878, 267, 899, 5982, 267, 547, 13209, 543, 1521, 1978, 10108, 563, 4322, 12665, 1685, 10368, 4255, 538, 799, 513, 1507, 2179, 540, 513, 14599, 6219, 568, 22280, 883, 513, 18916, 267, 31067, 610, 3144, 30375, 676, 519, 3461, 269, 634, 14599, 6219, 1287, 6087, 519, 6046, 4915, 11285, 547, 946, 513, 31554, 547, 3713, 519, 5982, 1377, 538, 519, 851, 540, 519, 1560, 1373, 8947, 538, 1931, 547, 1711, 606, 3239, 540, 621, 609, 513, 2780, 269, 634, 2592, 2995, 519, 10629, 2436, 972, 616, 9402, 2242, 538, 10307, 799, 5815, 2436, 513, 2068, 610, 5945, 568, 1459, 269, 1452, 4255, 616, 1419, 1031, 547, 3713, 2860, 563, 1103, 1840, 547, 16326, 2860, 267, 6878, 899, 14599, 22752, 666, 581, 2901, 22280, 883, 519, 1973, 6908, 610, 3144, 30375, 547, 4339, 2860, 543, 824, 3676, 269, 2991, 1373, 28041, 267, 519, 6219, 568, 12842, 676, 519, 11178, 14189, 543, 9402, 11178, 8031, 616, 10032, 563, 7804, 269, 26366, 996, 589, 8585, 330, 28739, 814, 519, 1739, 476, 1724, 6791, 454, 268, 1133, 560, 762, 4911, 2088, 454, 268, 9839, 15302, 454, 268, 10552, 1849, 582, 454, 268, 26590, 20840, 776, 15540, 630, 3722, 306, 994, 268, 9839, 31105, 454, 268, 9839, 23299, 454, 268, 9839, 13332, 454, 268, 4400, 10552, 16242, 630, 29730, 11364, 994, 268, 4400, 932, 7995, 454, 7804, 269, 26366, 996, 589, 8585, 330, 28739, 814, 476, 271, 4604, 14468, 32258, 454, 8450, 519, 4604, 24501, 713, 4387, 814, 4607, 269, 8274, 24501, 1683, 6015, 602, 713, 4387, 10742, 519, 25422, 6444, 4441, 585, 2069, 267, 1702, 543, 1995, 454, 4537, 12976, 476, 276, 540, 476, 278, 454, 296, 11124, 609, 513, 2295, 1966, 585, 1082, 1296, 2807, 13195, 2322, 593, 782, 5686, 540, 1199, 338, 267, 4957, 2732, 267, 6836, 547, 1689, 1272, 32465, 333, 5847, 5249, 267, 1966, 30174, 267, 538, 1249, 621, 3893, 8338, 269, 5853, 3220, 631, 543, 973, 9364, 513, 5868, 267, 1185, 519, 10551, 5650, 543, 1966, 8854, 27401, 1862, 296, 2648, 713, 4387, 256, 4787, 2683, 267, 1268, 762, 267, 6131, 267, 543, 917, 1010, 4739, 30314, 2336, 5475, 1296, 540, 7092, 609, 513, 2295, 1966, 543, 1373, 11311, 1082, 1114, 1199, 338, 543, 3435, 676, 1896, 7189, 594, 1185, 519, 1434, 19539, 540, 7487, 3220, 8585, 330, 28739, 269, 3733, 5796, 568, 713, 2807, 1862, 9767, 723, 513, 2295, 1966, 270, 935, 1356, 333, 23184, 590, 7417, 19010, 631, 2207, 298, 2969, 313, 674, 7644, 4306, 26008, 594, 3112, 2566, 602, 2614, 269, 1261, 711, 1152, 4857, 519, 1966, 646, 3576, 519, 2556, 3268, 547, 1205, 621, 1412, 325, 12089, 8339, 9046, 8854, 256, 2336, 290, 770, 548, 1230, 333, 14709, 13636, 5440, 24930, 454, 290, 770, 548, 1230, 333, 14709, 568, 3013, 781, 11967, 2707, 585, 519, 8446, 540, 5440, 24930, 269, 4256, 10629, 21445, 1382, 2319, 8039, 543, 13819, 519, 22754, 540, 9937, 540, 5215, 540, 13500, 945, 616, 9930, 3990, 676, 741, 9905, 12422, 267, 3842, 513, 18487, 2228, 1184, 267, 1354, 8939, 1346, 13500, 945, 616, 3148, 958, 610, 25422, 1851, 519, 1360, 1655, 538, 741, 2564, 32258, 269, 16836, 1230, 333, 14709, 11099, 9244, 602, 5440, 24930, 5269, 513, 16338, 12814, 563, 7804, 269, 8585, 330, 28739, 568, 28337, 630, 4754, 2259, 543, 16153, 2550, 264, 609, 519, 1739, 6413, 4433, 1916, 1789, 13012, 15232, 454, 8624, 3518, 807, 2160, 5441, 2986, 4284, 5974, 1656, 31048, 976, 454, 24836, 706, 730, 538, 476, 2735, 279, 454, 22139, 1744, 648, 2160, 11233, 454, 7804, 269, 26366, 996, 589, 8585, 330, 28739, 24693, 519, 1739, 6142, 7426, 563, 268, 589, 564, 3534, 11632, 589, 20062, 14330, 29314, 530, 18025, 8824, 15482, 454, 268, 589, 564, 3534, 14893, 623, 5308, 4083, 454, 268, 589, 564, 3534, 670, 19616, 454, 268, 589, 564, 3534, 2494, 3042, 14893, 623, 5308, 7046, 7457, 454, 268, 589, 564, 3534, 6178, 1155, 8556, 21116, 623, 17269, 454, 268, 4165, 1335, 11632, 670, 19616, 9791, 22512, 454, 268, 4165, 1335, 11632, 11202, 3118, 2473, 24046, 1473, 670, 19616, 454, 268, 4165, 1335, 623, 17269, 11416, 2776, 31084, 11632, 454, 268, 4165, 1335, 11202, 3118, 2473, 1473, 623, 17269, 6034, 7457, 11632, 454, 6195, 7034, 9791, 9315, 454, 268, 7460, 7034, 9791, 9315, 623, 17269, 454, 268, 7460, 7034, 10790, 9791, 5516, 5082, 623, 17269, 454, 268, 7460, 7034, 10790, 2776, 31084, 9791, 623, 17269, 454, 268, 595, 5456, 2793, 670, 19616, 454, 268, 595, 5456, 2793, 7046, 7457, 9578, 454, 268, 595, 5456, 2793, 623, 17269, 454, 268, 4045, 545, 732, 21253, 21086, 454, 268, 4045, 545, 732, 10426, 720, 454, 268, 3689, 2657, 623, 17269, 454, 268, 12370, 15815, 15317, 14893, 15187, 670, 19616, 454, 268, 12370, 15815, 15317, 670, 19616, 454, 268, 12370, 15815, 15317, 623, 17269, 454, 268, 11638, 17839, 623, 17269, 454, 268, 10228, 15213, 454, 268, 10228, 23068, 454, 268, 772, 18449, 14893, 9578, 623, 5308, 454, 268, 772, 18449, 13782, 622, 670, 19616, 454, 268, 772, 18449, 13782, 622, 623, 5308, 454, 268, 772, 18449, 18169, 623, 17269, 454, 299, 23148, 1299, 19648, 21010, 19107, 5564, 529, 2133, 1399, 6828, 623, 322, 267, 476, 14695, 271, 8125, 553, 1546, 2033, 670, 14567, 6008, 476, 10755, 267, 22911, 1667, 7615, 267, 11632, 454, 12648, 513, 8792, 547, 1451, 827, 3220, 269, 26366, 996, 589, 8585, 330, 28739, 538, 713, 3381, 563, 7804, 269, 26366, 996, 589, 8585, 330, 28739, 568, 2147, 547, 519, 1739, 476, 274, 24930, 2282, 22911, 1667, 7615, 267, 11632, 269, 0, 10673, 1405, 7947, 670, 271, 594, 1589, 646, 568, 17608, 256, 1717, 267, 1210, 513, 2539, 1871, 585, 13672, 1797, 602, 596, 786, 581, 1447, 2693, 547, 3713, 513, 3020, 3017, 952, 835, 2731, 6818, 269, 19750, 11094, 10334, 630, 303, 4338, 270, 7374, 305, 1196, 12175, 1280, 1383, 519, 26735, 665, 775, 5741, 814, 6069, 15024, 593, 875, 1899, 5725, 616, 5340, 269, 5291, 2517, 25218, 335, 4215, 2593, 270, 6943, 268, 272, 270, 6943, 26690, 268, 19587, 7146, 27703, 11258, 454, 335, 269, 6321, 269, 24498, 6402, 4437, 553, 543, 4762, 15929, 1700, 6881, 676, 715, 580, 601, 7754, 996, 267, 23958, 3427, 540, 5398, 2657, 267, 2160, 540, 29016, 642, 512, 552, 10803, 20895, 12039, 29149, 7194, 23120, 1239, 4741, 6399, 12980, 20509, 532, 1862, 589, 1826, 2862, 5470, 630, 528, 5470, 540, 519, 2034, 2186, 264, 568, 519, 5821, 547, 7947, 513, 7301, 14275, 8367, 269, 5291, 2517, 4178, 269, 1087, 322, 9884, 4593, 12975, 270, 349, 326, 13665, 864, 270, 5183, 318, 279, 1240, 270, 4910, 1545, 270, 13911, 260, 736, 2862, 260, 736, 13286, 260, 736, 663, 260, 736, 20175, 260, 736, 15612, 725, 15005, 454, 14294, 538, 3690, 5296, 476, 6200, 267, 13199, 5784, 476, 4375, 274, 6145, 713, 3381, 286, 2051, 1782, 6229, 267, 15117, 267, 5245, 281, 595, 10485, 4629, 14539, 269, 17434, 18926, 14430, 269, 30677, 1915, 6284, 630, 8016, 305, 264, 3301, 949, 3713, 606, 834, 320, 257, 1141, 972, 616, 1152, 930, 15956, 602, 2408, 547, 581, 606, 834, 320, 257, 547, 519, 5690, 1373, 1031, 563, 763, 5506, 540, 7157, 7947, 532, 513, 7301, 14275, 8367, 11224, 476, 272, 268, 16061, 543, 568, 1572, 1379, 269, 1677, 723, 533, 17032, 1447, 982, 10382, 2073, 513, 512, 17032, 585, 713, 1449, 1590, 581, 547, 519, 1318, 540, 339, 10382, 269, 634, 1374, 540, 6901, 269, 476, 279, 628, 7160, 269, 7392, 476, 274, 18438, 7151, 476, 272, 281, 5565, 5061, 616, 1373, 3379, 585, 7145, 538, 8156, 519, 1482, 2783, 563, 13043, 295, 27117, 476, 2190, 267, 21878, 5784, 476, 1321, 281, 2420, 29138, 4152, 543, 533, 268, 11161, 1923, 5606, 22460, 7194, 1923, 17438, 543, 10803, 1923, 16679, 9142, 910, 30991, 281, 476, 1556, 281, 2767, 269, 1717, 267, 972, 568, 1631, 849, 513, 1713, 4960, 602, 513, 16944, 1268, 786, 581, 1305, 1863, 269, 1323, 4244, 8367, 568, 519, 2258, 566, 540, 14275, 8367, 267, 585, 1383, 267, 834, 10472, 1268, 568, 711, 2635, 2580, 834, 10472, 15034, 568, 16944, 257, 610, 834, 10472, 1587, 568, 7745, 2668, 4179, 2517, 523, 25769, 3820, 28293, 270, 13911, 318, 296, 318, 663, 25292, 318, 2862, 318, 518, 5558, 21145, 4065, 13397, 775, 9208, 13334, 13397, 775, 8058, 811, 8058, 1447, 20509, 532, 2483, 2005, 568, 849, 1434, 2259, 547, 1331, 6015, 11996, 7222, 547, 519, 8367, 1449, 269, 630, 2690, 1383, 267, 952, 513, 8367, 1449, 585, 519, 3017, 540, 1079, 1797, 568, 5340, 267, 849, 2285, 513, 7392, 476, 272, 18438, 10017, 1403, 713, 568, 519, 2013, 267, 1287, 519, 3932, 602, 13500, 20053, 547, 6108, 1447, 942, 609, 17324, 2550, 568, 538, 5470, 269, 20023, 4564, 519, 1611, 585, 519, 3892, 540, 519, 14275, 8367, 269, 1411, 666, 6175, 707, 1981, 540, 22867, 513, 1826, 4083, 5470, 676, 4180, 707, 1449, 814, 2614, 1379, 563, 288, 21139, 3006, 2306, 606, 5470, 543, 606, 17608, 1268, 4422, 547, 21569, 269, 1280, 1383, 267, 513, 22149, 6408, 19451, 569, 4857, 3627, 7603, 727, 6519, 607, 1200, 30429, 1256, 1498, 519, 4890, 10419, 15249, 729, 538, 519, 1899, 1575, 693, 519, 942, 540, 8446, 269, 7392, 476, 272, 18438, 18185, 22043, 6364, 6936, 2942, 6154, 539, 256, 7392, 476, 273, 18438, 7151, 8771, 2258, 2510, 949, 1683, 513, 7301, 569, 15260, 1005, 5048, 547, 2550, 543, 13500, 602, 2068, 568, 15534, 267, 950, 621, 568, 2965, 1459, 563, 23173, 8822, 2160, 4964, 269, 6744, 901, 4934, 634, 14275, 8367, 568, 602, 519, 3403, 1281, 2697, 2576, 538, 519, 22646, 1592, 540, 1004, 267, 865, 281, 519, 5506, 540, 1826, 296, 6959, 568, 1572, 519, 834, 32401, 7947, 2557, 257, 630, 15709, 305, 264, 610, 7301, 6271, 1434, 2601, 585, 8989, 533, 268, 11161, 568, 602, 1114, 1004, 949, 723, 1114, 4441, 540, 2963, 282, 1294, 519, 3296, 257, 13356, 4575, 1018, 4644, 1377, 547, 946, 257, 593, 713, 2985, 269, 476, 274, 269, 634, 11234, 7020, 949, 581, 1813, 547, 646, 584, 2524, 610, 547, 606, 11234, 3644, 15040, 538, 513, 6538, 269, 5295, 2986, 589, 4530, 454, 2252, 519, 14275, 8367, 568, 7301, 267, 1287, 519, 5506, 540, 513, 7392, 4083, 5470, 568, 1572, 16061, 630, 15883, 1040, 7151, 476, 273, 29138, 281, 834, 29002, 21973, 547, 26025, 14014, 1996, 19659, 1701, 715, 1638, 8367, 281, 834, 29002, 21973, 547, 26025, 814, 1100, 1198, 593, 19659, 1701, 901, 14275, 8367, 568, 7318, 1996, 8097, 1239, 609, 513, 15952, 517, 23205, 16379, 476, 4649, 267, 271, 4375, 5784, 476, 2190, 281, 4649, 7392, 594, 543, 7392, 4083, 8210, 5558, 910, 30991, 281, 476, 275, 281, 1839, 269, 5291, 2517, 25218, 335, 4215, 2593, 270, 6943, 268, 272, 270, 6943, 14633, 7146, 15178, 26690, 268, 19587, 7721, 3263, 11258, 634, 4220, 540, 891, 1079, 6959, 616, 11201, 569, 1644, 543, 5462, 676, 519, 1377, 540, 4644, 543, 519, 1379, 585, 519, 1449, 563, 29664, 476, 274, 269, 16700, 5035, 2305, 4437, 553, 1717, 267, 971, 513, 1689, 1131, 1118, 519, 1826, 594, 6959, 796, 23100, 2406, 1164, 269, 5689, 2264, 634, 2165, 834, 32401, 2318, 257, 568, 849, 1031, 950, 28456, 3301, 4636, 569, 1362, 5809, 606, 21030, 6681, 3758, 607, 513, 3644, 563, 5445, 616, 849, 1142, 8449, 10097, 269, 2334, 1131, 581, 24379, 689, 519, 3461, 781, 5133, 267, 865, 513, 1507, 4644, 1377, 568, 11562, 5896, 269, 6032, 269, 275, 5038, 1700, 275, 4792, 269, 1548, 3657, 2368, 17778, 2334, 12207, 2052, 6875, 769, 27588, 1323, 15331, 1677, 3680, 8771, 10598, 2510, 15618 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29619, 540, 1788, 5464, 543, 6268, 1382, 454, 8368, 540, 12937, 912, 763, 1523, 540, 5464, 543, 6268, 630, 300, 261, 292, 264, 814, 1831, 513, 4105, 1907, 585, 2500, 4070, 1788, 6765, 269, 25613, 16040, 267, 631, 261, 292, 814, 1044, 32424, 8335, 2066, 1585, 4610, 971, 607, 1072, 543, 6683, 269, 9603, 547, 519, 8795, 1620, 543, 12497, 1436, 543, 1114, 2157, 540, 11994, 3823, 4070, 631, 261, 292, 267, 713, 3184, 2488, 513, 7811, 1620, 540, 519, 1523, 540, 631, 261, 292, 538, 519, 4070, 2796, 267, 1775, 4318, 269, 519, 3184, 3964, 602, 519, 991, 585, 631, 261, 292, 3112, 581, 21467, 332, 3508, 1242, 538, 519, 9740, 540, 3811, 1788, 6765, 269, 901, 1620, 568, 267, 3976, 267, 3844, 547, 9591, 2994, 602, 949, 948, 1788, 6887, 3927, 543, 6038, 22738, 631, 261, 292, 547, 2087, 519, 1788, 2773, 543, 2359, 563, 15761, 656, 2090, 2066, 1585, 11890, 723, 25967, 1819, 519, 16122, 1909, 540, 631, 261, 292, 538, 8236, 1788, 1967, 630, 2419, 514, 267, 476, 1001, 273, 282, 594, 6390, 267, 12480, 5979, 1299, 774, 340, 650, 1512, 267, 476, 1001, 273, 282, 21919, 879, 1299, 15011, 3139, 267, 476, 1001, 276, 282, 17305, 1329, 334, 267, 476, 1220, 271, 282, 14466, 651, 27691, 3658, 267, 2142, 1047, 1299, 2372, 534, 267, 476, 1001, 271, 282, 570, 5995, 267, 476, 1001, 272, 1040, 1717, 267, 689, 513, 7811, 5133, 267, 519, 2165, 631, 261, 292, 814, 1044, 12497, 1242, 543, 3989, 9867, 569, 269, 634, 3668, 540, 13380, 4214, 540, 631, 261, 292, 3788, 513, 2629, 4161, 538, 519, 3332, 630, 15031, 2023, 267, 476, 1220, 274, 1040, 769, 519, 1769, 540, 519, 1657, 267, 713, 3184, 2488, 606, 1620, 540, 519, 1523, 540, 631, 261, 292, 607, 1134, 607, 519, 14911, 1909, 543, 3017, 1063, 631, 261, 292, 267, 519, 1935, 267, 2409, 267, 2645, 543, 2553, 540, 631, 261, 292, 543, 267, 6368, 267, 519, 2640, 543, 2591, 540, 519, 631, 261, 292, 2259, 616, 5116, 538, 5133, 269, 1677, 3489, 513, 1732, 1620, 540, 519, 3309, 543, 14911, 2470, 540, 631, 261, 292, 538, 1788, 6765, 267, 713, 3184, 6257, 631, 261, 292, 14384, 543, 6799, 519, 11984, 1063, 519, 1079, 2359, 3252, 607, 789, 3310, 1788, 1967, 563, 12507, 13501, 568, 513, 6024, 2359, 1599, 602, 25401, 25173, 1239, 593, 1808, 10832, 540, 519, 1788, 547, 2709, 2359, 543, 8639, 540, 606, 5571, 6304, 519, 23053, 540, 519, 6708, 547, 799, 6859, 616, 454, 29619, 540, 1788, 5464, 476, 1724, 1373, 6913, 543, 519, 3356, 538, 519, 946, 540, 21248, 2200, 630, 302, 3000, 14623, 267, 476, 1001, 276, 1040, 24641, 717, 3291, 320, 630, 1001, 272, 264, 4330, 5464, 607, 606, 1148, 540, 10655, 1788, 1344, 547, 1118, 606, 5483, 3375, 693, 519, 1318, 942, 267, 9114, 267, 661, 637, 807, 7232, 651, 543, 19395, 268, 3891, 630, 1001, 273, 264, 3989, 5464, 607, 606, 5571, 1184, 540, 10451, 1344, 827, 519, 3356, 1373, 1500, 2509, 519, 9740, 540, 2164, 269, 4340, 547, 645, 600, 31000, 543, 670, 1168, 8636, 630, 2735, 277, 1070, 5464, 568, 606, 4835, 1788, 2534, 2966, 547, 1683, 3586, 5955, 593, 3356, 610, 6382, 543, 519, 4398, 609, 799, 621, 568, 1373, 8045, 269, 16424, 568, 17298, 1247, 513, 1788, 568, 1373, 8045, 609, 519, 2832, 540, 5355, 519, 1788, 1374, 543, 8647, 1247, 538, 2962, 269, 17305, 1329, 334, 630, 1220, 271, 264, 11363, 602, 5464, 2708, 525, 519, 1620, 540, 8639, 3823, 519, 1788, 543, 8992, 519, 9836, 543, 3318, 2359, 267, 24024, 519, 1981, 540, 1788, 5821, 543, 267, 6368, 267, 2708, 525, 3356, 538, 6388, 269, 634, 2622, 7813, 267, 11855, 676, 570, 5995, 630, 1001, 272, 1070, 8815, 538, 2796, 609, 519, 1896, 11673, 540, 5464, 543, 2417, 11225, 5464, 607, 513, 6024, 4879, 540, 1788, 6388, 3823, 8815, 8430, 543, 946, 540, 11378, 267, 5989, 543, 2533, 676, 519, 18689, 25808, 269, 932, 760, 6737, 630, 1001, 277, 264, 4857, 5464, 607, 519, 5571, 1184, 676, 799, 8639, 3489, 2834, 5955, 593, 519, 3356, 1373, 1500, 2509, 8236, 741, 3853, 543, 6859, 563, 290, 1222, 6737, 630, 1001, 277, 264, 2417, 14129, 602, 5464, 10522, 513, 11173, 5106, 5342, 1282, 1788, 6388, 547, 2327, 602, 519, 1788, 13978, 593, 3950, 547, 3035, 922, 6859, 269, 4746, 267, 519, 4139, 18966, 540, 4414, 9061, 543, 4414, 595, 29266, 5081, 7724, 630, 9281, 13612, 264, 630, 1001, 272, 264, 3989, 5464, 607, 519, 6296, 4015, 543, 2079, 540, 1344, 547, 3950, 3356, 1996, 1305, 4566, 543, 2638, 10220, 547, 3964, 4441, 269, 898, 2337, 2697, 3466, 543, 3270, 267, 3082, 338, 2994, 543, 28279, 3664, 585, 1788, 24579, 13559, 1889, 2359, 269, 634, 5464, 3635, 949, 581, 1031, 547, 2087, 1788, 12117, 1282, 6388, 281, 519, 1788, 1058, 581, 8465, 543, 2111, 547, 1689, 543, 3082, 547, 2175, 593, 519, 2666, 607, 8612, 676, 519, 3635, 630, 290, 1222, 6737, 267, 476, 1001, 277, 1040, 16424, 568, 5342, 1310, 513, 10872, 814, 13175, 543, 4797, 2429, 519, 10872, 6388, 1974, 269, 16424, 568, 3006, 5219, 547, 607, 1184, 267, 2773, 610, 24233, 6268, 630, 298, 2224, 330, 1299, 269, 681, 626, 267, 476, 1220, 275, 1916, 15650, 540, 5464, 454, 1103, 5464, 2090, 267, 1082, 3029, 540, 5464, 723, 1044, 4857, 269, 570, 5995, 630, 1001, 272, 264, 11008, 3278, 5464, 883, 1614, 1292, 2010, 269, 1358, 616, 15977, 5464, 267, 1764, 5464, 543, 10220, 5464, 269, 5178, 5202, 5464, 4016, 547, 519, 2268, 540, 2804, 267, 1514, 543, 2825, 2115, 693, 519, 840, 3491, 915, 3942, 547, 3313, 519, 4540, 3510, 267, 2039, 540, 3604, 543, 519, 1184, 540, 1689, 267, 1247, 1764, 5464, 568, 519, 3067, 2305, 540, 1514, 543, 2825, 4632, 1282, 1788, 1646, 543, 4238, 547, 3313, 519, 1764, 602, 949, 723, 1044, 3361, 676, 519, 1788, 630, 307, 5995, 267, 476, 1001, 272, 1040, 28597, 5464, 4145, 616, 4180, 10220, 609, 20033, 6042, 267, 4579, 4170, 267, 2199, 2679, 6042, 543, 676, 324, 2000, 9155, 607, 1134, 607, 5683, 4441, 538, 519, 6765, 540, 519, 1788, 630, 307, 5995, 267, 476, 1001, 272, 1916, 298, 2224, 330, 543, 681, 626, 630, 1220, 275, 264, 30387, 5464, 883, 2534, 2861, 5464, 267, 2164, 2861, 5464, 543, 6388, 5464, 269, 11314, 5464, 267, 849, 1634, 607, 1184, 5464, 267, 6212, 593, 875, 2238, 616, 8045, 547, 2743, 942, 543, 1942, 269, 1717, 267, 621, 8813, 2110, 538, 26936, 519, 2238, 547, 519, 4093, 799, 2306, 621, 2352, 547, 1174, 875, 891, 2238, 723, 15427, 519, 9740, 540, 519, 4824, 2773, 630, 298, 2224, 330, 1299, 681, 626, 267, 476, 1220, 275, 1040, 11314, 5464, 849, 13475, 519, 13345, 540, 11378, 543, 2200, 267, 519, 3356, 540, 2238, 543, 519, 6765, 540, 17016, 269, 898, 32625, 875, 2238, 616, 9447, 910, 519, 4398, 538, 942, 543, 2200, 630, 9281, 13612, 267, 476, 1001, 272, 1040, 11778, 2861, 5464, 267, 593, 519, 824, 1688, 267, 568, 6045, 676, 918, 2224, 330, 543, 681, 626, 630, 1220, 275, 264, 547, 9305, 547, 519, 5464, 540, 519, 2949, 3804, 540, 513, 1788, 543, 875, 621, 5540, 2486, 269, 901, 1826, 540, 5464, 12388, 525, 631, 261, 292, 547, 1569, 2436, 3785, 616, 593, 3077, 547, 3035, 2164, 630, 9281, 13612, 267, 476, 1001, 272, 1040, 11778, 2861, 5464, 568, 6444, 607, 3376, 2861, 543, 6770, 2238, 267, 3157, 267, 11378, 543, 17016, 538, 1899, 609, 4093, 269, 11778, 2861, 5464, 814, 1044, 13171, 2989, 607, 519, 4998, 1106, 540, 5464, 269, 918, 2224, 330, 543, 681, 626, 630, 1220, 275, 264, 2417, 4766, 6388, 5464, 607, 835, 799, 4145, 9477, 519, 4485, 2509, 8236, 2016, 4093, 538, 519, 6765, 540, 3785, 269, 901, 5849, 602, 519, 1318, 11378, 543, 2238, 616, 1031, 547, 5352, 3977, 543, 602, 972, 568, 10220, 547, 3035, 1305, 4093, 269, 16424, 267, 4061, 267, 30211, 593, 2200, 267, 2238, 267, 6859, 630, 29798, 267, 3483, 1646, 3804, 264, 543, 1022, 4909, 10054, 563, 1103, 476, 1001, 272, 267, 519, 17692, 13612, 3177, 513, 5758, 540, 519, 1114, 2010, 540, 5464, 4122, 1336, 538, 513, 1788, 24579, 13559, 1889, 5464, 1062, 607, 4330, 538, 7305, 476, 273, 269, 272, 269, 898, 568, 1271, 547, 3314, 602, 891, 5464, 2010, 1419, 1071, 31507, 607, 851, 540, 606, 2949, 5464, 1062, 630, 9281, 13612, 267, 476, 1001, 272, 1040, 0, 2252, 596, 616, 2479, 9140, 610, 5663, 1022, 12129, 2264, 267, 835, 540, 519, 1034, 1271, 1919, 596, 1590, 1174, 568, 519, 8670, 13195, 615, 1606, 12522, 3090, 269, 4653, 865, 1082, 1004, 723, 8670, 13195, 1667, 538, 741, 5321, 602, 789, 1616, 547, 2327, 4376, 789, 6718, 585, 1426, 568, 2922, 543, 666, 581, 18233, 538, 513, 8670, 13195, 615, 563, 291, 880, 13195, 615, 1606, 12522, 6698, 616, 24795, 513, 10672, 786, 1747, 593, 519, 1394, 540, 513, 12129, 2264, 267, 6676, 267, 610, 1426, 8708, 269, 634, 7436, 616, 2356, 1336, 693, 519, 5377, 2427, 540, 519, 12129, 2264, 4062, 1985, 547, 519, 17214, 769, 630, 15575, 787, 264, 2012, 269, 1280, 513, 10672, 547, 2322, 593, 713, 1665, 267, 789, 1058, 723, 2944, 782, 519, 4152, 585, 519, 12129, 2264, 547, 2327, 621, 568, 8670, 13195, 615, 2922, 563, 8368, 540, 12937, 454, 268, 6651, 1677, 667, 880, 13195, 615, 8881, 29062, 454, 268, 2052, 11676, 828, 2742, 573, 29597, 619, 2142, 10925, 769, 634, 667, 880, 13195, 615, 888, 268, 1215, 13583, 20445, 4530, 1677, 3550, 589, 5253, 29597, 518, 1772, 667, 880, 13195, 615, 15822, 454, 268, 13565, 12474, 454, 10817, 728, 1677, 667, 880, 13195, 615, 8881, 29062, 454, 291, 880, 13195, 615, 1606, 12522, 6698, 616, 513, 1305, 540, 13387, 24795, 1031, 547, 5815, 2436, 513, 1880, 6676, 267, 12129, 2264, 267, 610, 1426, 8708, 666, 581, 9108, 18233, 538, 513, 8670, 13195, 615, 1510, 3478, 8697, 563, 4322, 6698, 616, 3335, 1336, 693, 519, 5377, 540, 519, 1587, 610, 593, 922, 11183, 543, 616, 1985, 547, 513, 17214, 538, 630, 15575, 787, 264, 6003, 269, 634, 8670, 13195, 615, 1606, 12522, 7436, 616, 1898, 585, 4180, 602, 596, 798, 711, 18417, 3441, 707, 8286, 676, 11067, 873, 538, 519, 8670, 13195, 615, 950, 789, 1058, 711, 581, 18233, 538, 971, 3905, 1216, 2175, 563, 2080, 779, 513, 3391, 547, 930, 540, 519, 1034, 1455, 8670, 13195, 615, 1606, 12522, 6698, 596, 1522, 2097, 2066, 912, 763, 667, 880, 13195, 615, 8881, 13507, 454, 763, 1034, 1455, 3090, 568, 968, 323, 880, 13195, 615, 2922, 2223, 610, 606, 3239, 540, 513, 8670, 13195, 615, 269, 901, 6920, 602, 519, 1587, 666, 581, 18233, 538, 519, 8670, 13195, 615, 1510, 3441, 563, 2005, 849, 1797, 602, 519, 10672, 814, 7318, 519, 12129, 2264, 610, 1426, 8708, 547, 2327, 519, 3688, 666, 9108, 581, 5116, 538, 3592, 1022, 8670, 13195, 615, 269, 1677, 1451, 811, 827, 519, 4152, 4441, 267, 596, 666, 2638, 938, 6810, 593, 4152, 2630, 563, 307, 17687, 7799, 1080, 13507, 454, 5194, 1455, 3090, 568, 513, 1305, 540, 2837, 7182, 267, 971, 607, 968, 10946, 476, 2568, 9180, 892, 610, 968, 10946, 476, 3583, 9180, 6100, 901, 3090, 1797, 519, 1587, 666, 581, 9108, 18233, 538, 519, 8670, 13195, 615, 952, 519, 1216, 2837, 1281, 711, 9765, 519, 9138, 3970, 563, 2252, 596, 1294, 713, 3090, 267, 596, 1590, 2327, 707, 8670, 13195, 615, 568, 711, 28555, 982, 713, 2837, 269, 634, 2601, 568, 602, 952, 707, 8670, 13195, 615, 568, 1932, 3905, 267, 621, 666, 3441, 707, 12129, 2264, 563, 8253, 667, 880, 13195, 615, 15822, 13507, 454, 1607, 3090, 2934, 513, 9174, 4837, 610, 8670, 13195, 615, 18084, 856, 609, 513, 15497, 1899, 267, 10834, 602, 519, 1587, 568, 22247, 547, 581, 18233, 538, 519, 8670, 13195, 615, 269, 901, 1223, 581, 1317, 519, 1587, 568, 1500, 540, 2326, 602, 1223, 15835, 610, 2112, 335, 896, 1164, 5210, 610, 1317, 621, 814, 513, 10347, 1374, 602, 1223, 1205, 8697, 563, 15919, 596, 786, 711, 1294, 713, 3090, 855, 1294, 513, 3090, 610, 1129, 585, 1688, 11067, 269, 901, 849, 6645, 596, 519, 3688, 1058, 711, 581, 5116, 538, 513, 8670, 13195, 615, 563, 12749, 681, 871, 8307, 13507, 454, 763, 968, 9008, 24646, 1152, 892, 3090, 2982, 606, 3239, 540, 519, 1587, 593, 519, 1283, 24646, 540, 513, 8670, 13195, 615, 269, 901 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 2123, 960, 607, 513, 4640, 547, 3356, 538, 519, 1565, 1184, 269, 9314, 538, 2921, 5413, 540, 519, 1565, 3255, 2813, 538, 543, 3544, 519, 2796, 540, 519, 4928, 563, 268, 15765, 7589, 538, 1895, 5751, 543, 1568, 563, 268, 8682, 21873, 543, 11036, 547, 2769, 538, 1857, 543, 538, 513, 2854, 1259, 563, 28343, 476, 275, 269, 17502, 1470, 14426, 3344, 543, 17685, 8590, 4656, 1452, 9115, 1331, 519, 1739, 912, 268, 23779, 543, 29925, 540, 519, 4914, 1893, 607, 513, 32705, 6293, 2901, 538, 543, 3544, 519, 4928, 267, 610, 609, 1004, 689, 824, 4529, 563, 1556, 910, 22384, 540, 9821, 543, 2934, 602, 21656, 519, 4948, 1272, 540, 824, 2477, 543, 4529, 1141, 713, 1893, 568, 9275, 563, 268, 2422, 540, 5078, 30251, 12596, 538, 1514, 15377, 563, 268, 11310, 540, 930, 3140, 543, 10923, 2934, 540, 519, 2477, 1141, 519, 4914, 1893, 568, 1031, 267, 13844, 519, 1344, 676, 1114, 1797, 630, 600, 784, 873, 267, 5769, 543, 23559, 338, 1040, 9314, 543, 11036, 950, 2921, 851, 538, 32705, 15377, 609, 10529, 610, 4914, 1893, 6267, 267, 1210, 1957, 610, 3059, 1797, 563, 268, 17607, 540, 519, 2123, 23918, 6719, 676, 519, 2078, 609, 1004, 4947, 689, 824, 4529, 563, 5978, 27696, 23988, 568, 1759, 593, 519, 1739, 3741, 912, 2414, 1376, 689, 519, 3510, 540, 519, 2875, 454, 2414, 7520, 519, 4070, 540, 6209, 1565, 454, 763, 4116, 607, 18657, 1807, 540, 519, 3450, 19543, 1184, 454, 2414, 1711, 30254, 1565, 3871, 454, 9199, 3431, 3506, 723, 3746, 2213, 519, 1646, 540, 9266, 4987, 543, 10409, 4987, 269, 13038, 10164, 1878, 568, 513, 5626, 543, 3872, 3069, 2919, 676, 18673, 20999, 8493, 1676, 799, 5267, 602, 606, 5044, 540, 1114, 5686, 540, 4987, 6818, 538, 1480, 7919, 269, 645, 2084, 1010, 960, 593, 5778, 268, 14169, 267, 5626, 4720, 543, 17685, 8590, 2090, 267, 646, 25282, 5722, 4111, 1878, 630, 2735, 274, 1070, 4946, 1079, 811, 2663, 630, 1960, 280, 1916, 320, 264, 23008, 2065, 4987, 563, 321, 264, 8298, 673, 270, 3901, 3012, 673, 4987, 563, 322, 264, 10439, 4882, 6312, 658, 4987, 563, 323, 264, 28042, 4987, 563, 324, 264, 3955, 26051, 4987, 563, 325, 264, 2271, 1905, 5966, 4987, 563, 326, 264, 918, 2088, 20469, 4987, 563, 327, 264, 7025, 4987, 563, 328, 264, 1401, 626, 1113, 4987, 563, 1321, 1703, 616, 3670, 3844, 16097, 6069, 538, 519, 15428, 6437, 269, 1452, 616, 9034, 2213, 607, 5205, 912, 272, 269, 13185, 543, 4901, 281, 901, 568, 513, 3844, 1565, 4640, 538, 1169, 6437, 1858, 269, 13518, 1565, 3217, 1747, 998, 519, 5872, 540, 1893, 543, 1995, 269, 14313, 267, 4664, 543, 6547, 666, 581, 8268, 998, 5051, 1950, 1893, 799, 2337, 519, 1126, 547, 12172, 543, 4612, 1995, 543, 10536, 1007, 2035, 269, 630, 22068, 591, 2006, 267, 476, 1220, 272, 1916, 273, 269, 15765, 1565, 281, 634, 1126, 1058, 581, 606, 3742, 8665, 538, 1010, 610, 1200, 1378, 1565, 563, 763, 6437, 568, 2966, 547, 1683, 3255, 585, 3742, 6278, 538, 513, 2647, 2039, 540, 1565, 2833, 269, 5753, 616, 9415, 547, 4431, 538, 513, 3099, 540, 2081, 547, 1880, 1543, 543, 3450, 2994, 269, 634, 4116, 2115, 547, 2697, 1880, 5933, 540, 1646, 543, 547, 3442, 513, 5311, 540, 2238, 602, 786, 581, 1034, 2500, 538, 14027, 519, 1126, 587, 509, 338, 1565, 269, 901, 568, 519, 6240, 540, 11461, 2534, 543, 6602, 1565, 269, 630, 300, 1794, 584, 267, 476, 1960, 277, 1916, 274, 269, 20985, 1565, 281, 5753, 616, 25623, 676, 6217, 519, 2093, 543, 8369, 540, 1866, 543, 676, 32232, 547, 873, 269, 20985, 960, 27875, 1453, 547, 519, 11994, 602, 1866, 949, 723, 540, 513, 1966, 610, 513, 3510, 269, 901, 5872, 786, 948, 22962, 543, 15052, 1367, 1453, 587, 509, 338, 1620, 519, 957, 540, 1071, 268, 6016, 908, 609, 1866, 16881, 519, 1126, 587, 509, 338, 1514, 543, 2123, 1646, 543, 11942, 606, 7071, 540, 519, 9785, 16667, 1206, 540, 2324, 24625, 8271, 269, 630, 289, 1046, 2917, 267, 476, 1220, 276, 1916, 275, 269, 9046, 6061, 281, 14451, 1931, 3206, 1983, 267, 971, 607, 9034, 2358, 267, 30228, 543, 1818, 31921, 543, 17429, 2388, 267, 616, 2919, 998, 1966, 6061, 563, 307, 3696, 971, 607, 8343, 267, 2458, 908, 543, 10442, 2963, 543, 7114, 1898, 1344, 948, 1453, 547, 1118, 5483, 9794, 906, 269, 20570, 1565, 1034, 16113, 3217, 1747, 538, 1966, 6061, 3871, 1141, 519, 15226, 14405, 593, 1010, 17017, 1378, 1995, 543, 1991, 1702, 547, 3605, 519, 18408, 602, 616, 547, 581, 4121, 269, 630, 292, 828, 548, 267, 476, 1960, 277, 1916, 1724, 476, 276, 269, 10341, 998, 1543, 281, 634, 2702, 547, 4483, 1565, 568, 513, 3844, 4183, 540, 519, 6437, 269, 3962, 1225, 14152, 1858, 9607, 519, 1646, 540, 5759, 543, 1983, 267, 799, 519, 1126, 786, 581, 2111, 547, 4019, 538, 7231, 609, 2042, 602, 616, 14542, 269, 634, 1126, 587, 509, 338, 2702, 547, 4019, 1018, 521, 270, 515, 814, 4121, 547, 513, 3099, 540, 3871, 568, 513, 1434, 13525, 540, 519, 7145, 540, 602, 1565, 563, 277, 269, 4635, 519, 1604, 281, 3689, 11804, 1995, 602, 8362, 22851, 519, 1126, 609, 519, 7525, 1604, 543, 609, 1346, 945, 2661, 538, 621, 568, 519, 1034, 2500, 4493, 585, 1565, 269, 634, 1995, 5956, 538, 519, 1753, 543, 5170, 547, 4228, 267, 607, 519, 1126, 9428, 267, 689, 519, 7525, 1604, 547, 519, 1153, 543, 3564, 269, 3689, 11804, 1995, 540, 1114, 3344, 540, 519, 6437, 3544, 519, 4928, 8591, 547, 519, 10083, 543, 7145, 540, 1453, 587, 509, 338, 1565, 563, 5278, 2127, 540, 519, 6437, 267, 971, 607, 2296, 267, 22937, 2933, 547, 1082, 610, 782, 540, 519, 1657, 2409, 269, 11524, 267, 971, 607, 18027, 616, 811, 3908, 538, 519, 2039, 540, 4485, 1031, 269, 898, 568, 4277, 602, 9859, 3450, 568, 1152, 5018, 538, 519, 18027, 543, 3163, 5396, 269, 2871, 3660, 6602, 568, 6700, 538, 519, 1739, 2127, 267, 18027, 267, 3163, 267, 17323, 267, 8535, 543, 10439, 8551, 269, 634, 6437, 1541, 328, 16667, 525, 454, 587, 508, 15062, 720, 587, 509, 607, 519, 946, 540, 3184, 5610, 562, 1369, 513, 1880, 1641, 1858, 267, 585, 1383, 267, 950, 3450, 29770, 331, 1516, 1919, 587, 509, 267, 10128, 621, 609, 519, 18843, 593, 454, 587, 508, 523, 16652, 4656, 587, 509, 269, 630, 310, 1023, 327, 267, 476, 1220, 276, 994, 763, 6268, 568, 513, 2596, 3693, 538, 519, 1565, 14482, 2286, 1184, 267, 1317, 950, 649, 6218, 1945, 267, 649, 616, 4758, 1871, 547, 519, 1896, 3344, 799, 616, 8547, 538, 519, 3872, 4305, 269, 901, 568, 513, 1434, 1259, 547, 2087, 543, 1852, 713, 1184, 563, 2171, 1590, 1491, 883, 2272, 952, 519, 3450, 19543, 1184, 14687, 547, 519, 7355, 3964, 547, 917, 543, 1871, 1018, 1053, 723, 1185, 547, 1451, 538, 1931, 547, 2015, 789, 723, 7753, 4794, 26476, 1176, 938, 1858, 538, 713, 1032, 563, 763, 4013, 4879, 7355, 5227, 676, 519, 2069, 8128, 786, 581, 4553, 630, 302, 6113, 523, 661, 5746, 270, 19442, 271, 270, 1220, 278, 267, 15567, 1470, 476, 1321, 1040, 634, 1739, 2553, 786, 581, 1031, 585, 6268, 912, 1691, 476, 272, 269, 13760, 2489, 543, 1808, 1344, 267, 519, 1292, 2856, 543, 519, 1034, 4143, 3877, 540, 5711, 5931, 9783, 538, 3871, 540, 14375, 2792, 610, 676, 2923, 267, 593, 3584, 602, 798, 711, 2154, 7463, 1702, 563, 273, 269, 12160, 622, 538, 7391, 543, 13502, 1210, 3617, 2994, 547, 20006, 267, 2226, 543, 1439, 519, 2792, 267, 6721, 513, 4633, 602, 568, 24669, 543, 3617, 547, 519, 4162, 540, 519, 3510, 543, 519, 32705, 9837, 563, 274, 269, 13760, 2489, 543, 1808, 1344, 689, 1585, 8076, 543, 9862, 2854, 5931, 267, 609, 1114, 10137, 267, 7114, 1239, 267, 8369, 267, 7440, 267, 17697, 1344, 543, 32705, 9837, 540, 519, 2278, 563, 275, 269, 3503, 609, 930, 13190, 513, 3099, 540, 5931, 609, 513, 9266, 2497, 267, 1210, 519, 2596, 14908, 540, 1142, 9135, 267, 6863, 3617, 585, 519, 2796, 267, 543, 519, 2609, 540, 25843, 543, 22122, 2877, 267, 865, 602, 789, 616, 3362, 24669, 547, 519, 5467, 563, 276, 269, 3117, 19290, 946, 540, 519, 1702, 9715, 593, 519, 10409, 1062, 540, 519, 4914, 1893, 538, 1114, 8658, 540, 2792, 267, 607, 513, 1907, 585, 1582, 2275, 528, 14431, 543, 1582, 12431, 20156, 540, 741, 1378, 5711, 543, 2854, 24299, 538, 1931, 547, 1174, 547, 24299, 540, 1866, 563, 277, 269, 10576, 267, 946, 543, 2491, 1565, 2994, 1031, 267, 2285, 1806, 540, 824, 2009, 2994, 543, 6430, 593, 519, 1034, 3617, 585, 519, 1808, 1565, 3483, 563, 278, 269, 2422, 519, 23559, 338, 609, 930, 13190, 538, 1931, 547, 1413, 585, 1344, 267, 3132, 5931, 689, 3631, 267, 6494, 543, 4309, 15737, 543, 3715, 5711, 543, 2854, 2123, 1894, 267, 6029, 1719, 538, 741, 946, 563, 279, 269, 10576, 543, 4766, 519, 1034, 4143, 2686, 3344, 540, 519, 2477, 1141, 519, 4914, 1893, 568, 9275, 543, 3715, 930, 1894, 1063, 519, 1034, 1713, 2934, 540, 519, 9821, 267, 3096, 267, 8456, 543, 2418, 540, 519, 2486, 4171, 1893, 568, 6594, 543, 741, 1378, 543, 1397, 2463, 2509, 873, 563, 280, 269, 1677, 7119, 538, 7391, 543, 1909, 25178, 1210, 3617, 2994, 547, 20006, 267, 2226, 543, 1439, 7391, 267, 6721, 2649, 1043, 11407, 543, 15268, 547, 519, 4162, 540, 519, 3510, 543, 32705, 8247, 454, 1428, 476, 276, 269, 700, 8577, 2177, 12813, 3198, 912, 276, 269, 272, 6167, 3951, 28267, 297, 4488, 30888, 2464, 267, 28132, 19006, 6730, 12601, 3201, 308, 9569, 10911, 25604, 8656, 912, 3722, 2316, 9654, 25765, 28267, 297, 4488, 30888, 2464, 28132, 19006, 630, 3519, 32383, 543, 5773, 994, 21766, 7537, 594, 286, 1677, 917, 930, 3730, 6863, 602, 789, 666, 946, 538, 741, 3232, 454, 5158, 630, 27154, 6863, 1916, 11854, 6900, 20750, 529, 827, 6469, 543, 3552, 454, 5522, 1116, 540, 6086, 1161, 630, 10585, 454, 8196, 2994, 585, 1565, 547, 1451, 607, 3168, 585, 1913, 538, 454, 1492, 8675, 282, 1215, 1434, 610, 3983, 568, 741, 454, 9596, 930, 19862, 540, 454, 638, 5465, 543, 4267, 1644, 547, 5249, 21342, 454, 26524, 1210, 798, 607, 25581, 269, 29149, 454, 611, 16633, 269, 23560, 2055, 1210, 8231, 454, 8196, 7157, 930, 19862, 540, 454, 638, 5465, 543, 4267, 563, 293, 4629, 294, 6730, 674, 23360, 5254, 12088, 454, 2414, 1174, 2489, 543, 1808, 1344, 538, 2854, 454, 3725, 9679, 540, 2542, 2994, 630, 12921, 21148, 2676, 2675, 8911, 1040, 7335, 8223, 563, 5649, 543, 1174, 519, 575, 626, 540, 519, 1257, 543, 930, 1808, 1344, 538, 2241, 454, 300, 312, 14174, 309, 21788, 25492, 4888, 8379, 3201, 454, 2414, 3132, 2854, 5931, 799, 616, 2241, 543, 5618, 267, 538, 519, 4914, 1893, 2676, 514, 1483, 610, 20533, 32705, 454, 303, 3174, 540, 2854, 6835, 630, 5327, 20696, 1257, 1916, 2237, 6209, 5220, 543, 2110, 454, 3667, 338, 538, 4948, 1153, 3871, 543, 454, 5228, 3631, 609, 513, 1808, 3483, 563, 2414, 946, 519, 1909, 1210, 519, 1702, 1053, 2907, 454, 21995, 32705, 3252, 912, 27396, 622, 538, 11461, 5711, 4205, 593, 454, 32271, 9215, 5990, 2098, 302, 302, 256, 1677, 1174, 543, 946, 519, 10409, 543, 454, 12061, 268, 1782, 340, 2065, 2609, 602, 3217, 454, 4820, 538, 8912, 3871, 540, 1514, 454, 299, 1410, 529, 1644, 547, 2831, 563, 29423, 819, 543, 8223, 540, 454, 19950, 547, 946, 519, 2296, 1893, 538, 454, 323, 2905, 3871, 538, 1362, 563, 306, 26041, 11083, 2316, 307, 11070, 2562, 3201, 28132, 19006, 912, 4910, 1051, 543, 1719, 585, 1565, 2296, 563, 8333, 527, 618, 547, 960, 538, 8424, 543, 538, 2516, 563, 5319, 2809, 618, 538, 6947, 8964, 538, 2296, 563, 303, 548, 5501, 547, 2769, 741, 1378, 2833, 538, 2296, 563, 4462, 514, 3031, 1243, 7589, 538, 5559, 520, 3074, 543, 1909, 13807, 904, 563, 276, 269, 273, 11083, 15288, 3582, 9215, 667, 4353, 8991, 14510, 912, 763, 3007, 547, 519, 4763, 568, 519, 1655, 1259, 547, 1205, 519, 5610, 540, 782, 1053, 538, 519, 4928, 267, 799, 568, 865, 2556, 547, 741, 1514, 5610, 563, 1103, 938, 1362, 649, 723, 3893, 1079, 1114, 2516, 540, 4763, 269, 634, 1101, 835, 568, 4646, 676, 1079, 8695, 945, 616, 5409, 5562, 543, 519, 2034, 835, 568, 827, 1079, 1053, 945, 723, 2362, 1377, 982, 519, 1964, 540, 519, 1362, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18083, 547, 2708, 2773, 267, 2697, 3466, 267, 543, 1118, 5483, 3664, 3823, 5368, 4034, 618, 610, 9806, 269, 7046, 513, 5094, 4871, 2272, 4481, 585, 707, 1870, 8852, 547, 14458, 2594, 5329, 780, 1262, 3721, 476, 1015, 281, 3629, 20056, 550, 21436, 6796, 12533, 307, 805, 1169, 6075, 5872, 607, 606, 4316, 547, 9765, 6788, 543, 6536, 14017, 269, 2142, 30251, 267, 18906, 633, 267, 543, 17841, 1247, 5466, 2055, 267, 4145, 267, 610, 20286, 269, 24613, 1657, 543, 3564, 538, 2474, 540, 6075, 3028, 5036, 707, 1870, 6306, 689, 15712, 543, 7512, 10956, 1870, 543, 2318, 2262, 6361, 2173, 1926, 3277, 23552, 780, 3528, 1739, 891, 4557, 3268, 267, 596, 3513, 581, 1134, 593, 707, 1259, 547, 2679, 513, 14762, 2370, 1870, 602, 6770, 7772, 267, 1565, 3255, 267, 543, 2883, 12587, 269, 8414, 20835, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 13014, 513, 9741, 645, 529, 1145, 630, 1721, 8866, 17983, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 3848, 476, 1015, 281, 4197, 2657, 2598, 1706, 885, 910, 898, 781, 8307, 12876, 2439, 5331, 596, 616, 4730, 13558, 693, 12424, 609, 707, 2828, 269, 1411, 782, 2648, 519, 3014, 267, 855, 930, 540, 707, 2319, 10863, 666, 2196, 5488, 982, 1866, 269, 2368, 1522, 723, 1732, 3440, 1852, 1247, 1866, 6560, 547, 1832, 909, 269, 901, 3510, 3884, 1405, 4023, 267, 1318, 286, 5020, 12582, 1405, 581, 827, 2348, 3160, 5759, 282, 621, 1058, 581, 827, 2348, 3160, 3255, 547, 1291, 2635, 2729, 269, 10251, 267, 602, 781, 711, 2141, 519, 2013, 269, 4653, 649, 786, 1451, 827, 1945, 1572, 1412, 8234, 13103, 10086, 799, 1797, 950, 1978, 2516, 540, 1004, 3068, 811, 2591, 538, 9363, 2635, 1175, 1317, 540, 945, 789, 616, 269, 2913, 781, 4685, 883, 713, 1271, 3390, 1927, 2439, 1432, 616, 2657, 2598, 1706, 885, 888, 10900, 19567, 5970, 596, 2479, 8068, 602, 3006, 1004, 1472, 596, 1205, 7210, 811, 1419, 982, 1866, 267, 1256, 1498, 3025, 4667, 547, 581, 2921, 1416, 540, 2933, 8449, 1134, 286, 2107, 5310, 972, 616, 1808, 3676, 602, 1860, 835, 1895, 540, 2043, 811, 982, 1776, 286, 1452, 3604, 5749, 1405, 6071, 14626, 573, 1878, 9789, 344, 5031, 4540, 1072, 13103, 1369, 938, 2486, 780, 10890, 13103, 3277, 547, 28824, 3604, 538, 519, 11411, 540, 2068, 267, 5945, 2157, 267, 9659, 267, 610, 8458, 540, 2713, 3476, 1063, 5095, 269, 1358, 2356, 1764, 27797, 610, 12790, 2516, 1759, 593, 3344, 899, 5198, 267, 14940, 267, 4008, 267, 2085, 267, 4638, 10066, 267, 14227, 4567, 267, 610, 13664, 4087, 269, 1924, 1946, 798, 891, 10616, 2291, 286, 4270, 267, 1082, 1919, 3565, 547, 1072, 13103, 267, 1519, 21376, 1569, 547, 3782, 2533, 267, 2069, 267, 8027, 267, 7694, 267, 543, 14312, 1426, 780, 4131, 781, 2263, 1079, 1483, 3734, 1806, 547, 948, 721, 1174, 1072, 13103, 1732, 1384, 2162, 7151, 476, 272, 281, 7457, 547, 10076, 2657, 7896, 692, 26045, 1072, 2152, 971, 607, 4965, 543, 4160, 666, 3648, 1764, 4896, 781, 1272, 269, 1717, 267, 1705, 596, 917, 602, 12322, 689, 2539, 13867, 3885, 949, 1265, 621, 9875, 547, 1569, 2298, 2790, 1072, 1489, 3379, 547, 741, 5763, 1512, 9905, 286, 11790, 899, 26622, 267, 6283, 7496, 267, 543, 16663, 7923, 547, 5275, 948, 1711, 4155, 4565, 4169, 585, 1346, 17596, 6351, 269, 1306, 513, 1267, 267, 15860, 2790, 1072, 4145, 1851, 896, 1440, 643, 850, 3022, 14038, 1831, 811, 11342, 267, 3056, 547, 1279, 3856, 4539, 7133, 4081, 2773, 267, 3347, 267, 543, 2949, 8171, 780, 2162, 7151, 476, 273, 281, 25667, 26162, 7324, 7756, 20492, 692, 11917, 7295, 568, 513, 3395, 6161, 5001, 267, 2523, 538, 519, 2136, 2276, 269, 5525, 1397, 602, 8377, 3928, 4268, 14320, 2066, 7292, 543, 6803, 3515, 269, 1280, 3236, 267, 17104, 543, 1875, 6953, 529, 13732, 4563, 10708, 4043, 547, 1995, 2362, 8377, 3928, 982, 741, 6519, 13413, 1813, 547, 1585, 4128, 267, 1519, 3908, 1569, 547, 10097, 4195, 3132, 267, 2922, 9205, 5624, 267, 543, 15520, 3617, 2168, 2534, 3292, 269, 9182, 267, 891, 13103, 2333, 519, 1981, 540, 3384, 2404, 2175, 899, 3987, 543, 2295, 2068, 2663, 538, 1272, 780, 3963, 9701, 1284, 5516, 6168, 2657, 2598, 1706, 885, 888, 14343, 19030, 3086, 602, 649, 723, 513, 2596, 2856, 827, 1018, 1072, 13103, 616, 1577, 781, 1865, 1946, 789, 2339, 865, 1454, 1384, 265, 2878, 293, 1515, 1145, 5093, 15526, 19262, 606, 4316, 547, 2661, 513, 6126, 267, 2635, 1272, 7488, 540, 4282, 610, 3961, 269, 18601, 1072, 13103, 5849, 1169, 1367, 4991, 1569, 547, 2200, 5009, 1434, 1072, 4093, 563, 265, 2878, 30356, 8177, 5093, 6164, 532, 5312, 3676, 4611, 689, 796, 5417, 5962, 1072, 13103, 12662, 513, 1713, 8833, 593, 3782, 1949, 267, 1951, 1456, 2883, 2200, 602, 1223, 6382, 581, 1031, 11992, 269, 1635, 21365, 1072, 13103, 2038, 267, 649, 4688, 2724, 538, 519, 1279, 2165, 563, 265, 2878, 26322, 23848, 5093, 1879, 3025, 538, 513, 8378, 610, 2749, 13978, 2635, 267, 519, 3003, 2146, 29263, 17215, 267, 27268, 267, 543, 13998, 269, 26805, 1072, 13103, 8309, 547, 6793, 2950, 1141, 3025, 7959, 6462, 543, 23518, 780, 1692, 2052, 1284, 6435, 16534, 2657, 2598, 1706, 885, 888, 14343, 7042, 2026, 1647, 30595, 267, 596, 1522, 4898, 875, 596, 666, 3565, 547, 6061, 1950, 2042, 899, 1072, 13103, 269, 2755, 621, 949, 3100, 18447, 7620, 267, 3314, 602, 1689, 6238, 1507, 256, 3371, 616, 930, 2081, 596, 666, 1404, 707, 851, 1384, 272, 269, 3447, 622, 3054, 543, 1866, 827, 1072, 13103, 998, 2835, 267, 32026, 267, 27143, 267, 610, 7391, 609, 3610, 267, 3237, 267, 610, 23003, 269, 11310, 568, 1379, 2336, 273, 269, 5917, 11229, 585, 4507, 5885, 12581, 3892, 540, 2200, 630, 3697, 11614, 267, 17365, 8637, 8876, 4195, 5613, 1299, 5388, 264, 1369, 707, 2146, 269, 28651, 856, 547, 2199, 3401, 267, 7390, 4884, 10689, 11401, 267, 610, 2328, 5022, 11589, 707, 4555, 563, 274, 269, 21816, 17621, 693, 3906, 2324, 2509, 14874, 1072, 13103, 676, 5356, 942, 267, 1983, 267, 610, 15421, 269, 3509, 1875, 2889, 22327, 991, 13730, 1762, 15156, 547, 24244, 741, 5048, 543, 5692, 563, 275, 269, 11559, 1930, 5717, 4478, 3584, 971, 607, 2790, 1072, 267, 6484, 267, 543, 3635, 1851, 707, 9905, 269, 8490, 11215, 5121, 11942, 2318, 1689, 543, 8992, 13784, 563, 276, 269, 14936, 267, 2760, 30391, 519, 2956, 540, 8156, 3025, 609, 11587, 543, 2463, 1107, 2870, 513, 22205, 1604, 4422, 513, 1279, 1259, 538, 4227, 7130, 543, 9186, 4810, 676, 12790, 2516, 780, 1103, 3932, 267, 1072, 13103, 10460, 4101, 2943, 1151, 15344, 9465, 585, 9118, 2043, 269, 1635, 1565, 827, 873, 543, 22867, 6000, 547, 2962, 267, 649, 17362, 519, 1259, 585, 513, 17321, 2104, 6825, 676, 9698, 267, 8296, 267, 543, 4824, 1072, 4093, 585, 782, 269, 8625, 267, 649, 666, 8115, 519, 7934, 543, 2327, 3025, 814, 606, 3160, 4960, 693, 2713, 741, 1838, 5006, 267, 1072, 5006, 2729, 2009, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7804, 269, 19626, 645, 1794, 344, 330, 267, 7905, 267, 27706, 10657, 4972, 267, 5441, 540, 2657, 267, 814, 5342, 1382, 538, 519, 2361, 540, 2790, 1072, 13319, 267, 6604, 267, 543, 6304, 585, 1453, 543, 6107, 267, 1310, 17469, 5752, 585, 1970, 13867, 4683, 6107, 267, 543, 1153, 2861, 2259, 563, 7804, 269, 595, 2643, 652, 324, 595, 269, 19811, 267, 19608, 7905, 267, 3427, 540, 4317, 4518, 267, 5441, 540, 2657, 267, 568, 513, 6404, 2173, 1385, 338, 11001, 945, 6212, 593, 1620, 26447, 3157, 538, 513, 2686, 2796, 267, 1210, 5042, 10236, 1670, 3069, 543, 2409, 269, 3220, 269, 19811, 18271, 2146, 2861, 29355, 4485, 543, 6212, 593, 5466, 519, 1514, 21876, 540, 1072, 543, 1072, 13103, 563, 7804, 269, 18496, 2353, 839, 10290, 5937, 822, 625, 267, 21133, 7905, 267, 2657, 7070, 543, 5274, 13437, 4972, 267, 5441, 540, 2657, 267, 6212, 593, 10349, 1072, 960, 267, 799, 2882, 6219, 946, 543, 2790, 4576, 607, 1883, 2188, 538, 5355, 519, 1072, 540, 10349, 2950, 269, 1280, 1896, 1296, 267, 646, 5249, 609, 519, 589, 4047, 4696, 1353, 538, 11785, 267, 513, 19747, 1071, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10890, 2598, 1706, 885, 257, 607, 851, 540, 834, 25503, 1315, 2657, 8889, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 4121, 827, 5403, 8862, 310, 2862, 16646, 543, 21047, 538, 1153, 2221, 269, 2334, 4992, 4277, 256, 2052, 596, 2995, 803, 1018, 621, 1797, 2496, 7692, 281, 17610, 267, 7705, 256, 2991, 2622, 2782, 4083, 8694, 267, 1082, 2477, 1185, 547, 25580, 741, 4872, 1317, 789, 941, 10032, 1282, 519, 2112, 269, 901, 1184, 568, 1572, 16646, 269, 1656, 2094, 972, 941, 513, 2603, 540, 7526, 1063, 1114, 2516, 540, 1004, 1282, 519, 2112, 267, 2477, 849, 2877, 547, 1265, 2081, 547, 2661, 25678, 609, 1142, 824, 1586, 269, 2334, 781, 1018, 649, 1289, 21047, 780, 8334, 281, 7937, 267, 594, 1294, 269, 1924, 267, 899, 950, 938, 4884, 1185, 602, 2462, 7088, 2063, 1032, 543, 3388, 3893, 8697, 267, 519, 6738, 13522, 1185, 547, 4368, 3388, 543, 1118, 2386, 3025, 1869, 4991, 2059, 19952, 267, 1318, 2496, 7692, 281, 22549, 256, 3767, 1577, 803, 2285, 596, 606, 1383, 540, 1018, 5949, 538, 930, 3864, 4872, 1310, 24918, 269, 1703, 941, 1079, 4872, 267, 700, 341, 643, 543, 654, 10635, 22119, 1177, 267, 799, 1031, 547, 581, 851, 540, 1114, 2477, 855, 4957, 1310, 519, 2112, 269, 3509, 1004, 945, 8385, 5030, 972, 1185, 547, 4734, 267, 543, 1007, 1004, 6410, 538, 780, 8334, 281, 26272, 267, 602, 1590, 723, 1044, 14845, 585, 519, 1004, 2713, 972, 269, 1548, 5949, 547, 782, 519, 8823, 543, 2984, 540, 519, 2025, 7264, 2496, 7692, 281, 4270, 267, 1256, 1498, 1082, 1004, 2451, 267, 741, 8823, 18423, 3297, 998, 2984, 5293, 1524, 267, 5961, 267, 543, 3615, 269, 1715, 7264, 6836, 547, 1174, 543, 2463, 519, 2250, 1247, 2679, 513, 1007, 2104, 1927, 269, 898, 7012, 1405, 2141, 2653, 267, 855, 4466, 1455, 2666, 5280, 1711, 6793, 2950, 780, 8334, 281, 594, 1205, 621, 1631, 269, 3807, 899, 950, 1250, 3659, 8861, 6410, 2476, 267, 855, 594, 1869, 3314, 519, 1187, 2053, 649, 1185, 1927, 269, 1879, 1200, 1920, 11564, 267, 649, 2911, 827, 1346, 1434, 10153, 262, 2395, 267, 543, 594, 2671, 1018, 781, 8345, 1631, 865, 789, 1745, 3769, 269, 1284, 1451, 689, 1142, 824, 267, 1175, 899, 1346, 1004, 538, 700, 341, 643, 543, 654, 10635, 22119, 1177, 780, 7692, 281, 1411, 4312, 3893, 621, 267, 7705, 256, 5871, 2631, 6645, 721, 602, 19551, 519, 2250, 543, 2324, 1927, 666, 948, 1628, 1732, 20304, 267, 1100, 2339, 1141, 649, 2097, 689, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 299, 341, 643, 1107, 654, 10635, 22119, 1177, 267, 20079, 538, 23155, 888, 300, 2814, 267, 15350, 543, 24779, 267, 524, 269, 476, 6245, 271, 6261, 6974, 454, 5475, 2622, 2782, 4083, 267, 2342, 14754, 519, 7372, 2699, 3863, 532, 540, 3084, 10665, 543, 519, 3646, 547, 1118, 519, 2551, 3514, 1346, 1007, 10665, 269, 1306, 513, 12343, 540, 891, 7142, 2242, 267, 1312, 700, 341, 643, 543, 654, 10635, 22119, 1177, 4682, 998, 3032, 659, 569, 338, 6193, 2242, 538, 2551, 543, 2528, 269, 2667, 1068, 1947, 14470, 840, 8705, 700, 342, 6759, 342, 2968, 8168, 700, 341, 990, 267, 543, 1287, 267, 1310, 476, 1960, 272, 267, 621, 2968, 7682, 1947, 21977, 700, 341, 643, 269, 645, 637, 331, 879, 267, 519, 3791, 4102, 2749, 538, 5125, 1354, 476, 3707, 276 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 318, 7838, 299, 273, 29644, 9638, 531, 629, 571, 994, 2745, 20796, 9169, 318, 7838, 299, 273, 692, 3863, 17750, 2891, 326, 4512, 5602, 567, 0, 18411, 1607, 20072, 13907, 519, 4266, 12774, 543, 3096, 513, 12430, 22953, 2203, 609, 3044, 18440, 454, 1729, 3589, 6280, 22692, 3928, 563, 18411, 5814, 4584, 548, 454, 5814, 21795, 607, 19073, 692, 5228, 28189, 269, 15035, 31200, 1104, 12430, 8802, 1833, 454, 5228, 28189, 269, 5471, 7879, 1104, 1611, 5334, 32464, 318, 19587, 454, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 5721, 15305, 5334, 5902, 454, 5228, 28189, 269, 2181, 30112, 1104, 9208, 306, 5632, 518, 692, 3698, 5094, 6958, 324, 2137, 318, 663, 4671, 13759, 16597, 18134, 2187, 825, 23288, 825, 16849, 476, 273, 1239, 325, 29707, 1141, 2934, 3568, 1152, 519, 2934, 585, 519, 454, 825, 2203, 543, 3077, 3568, 519, 9072, 563, 825, 15981, 692, 825, 2934, 14682, 2784, 318, 3433, 815, 1239, 18134, 6155, 1886, 3488, 325, 633, 14729, 792, 14682, 2784, 318, 3433, 3299, 7852, 284, 272, 994, 825, 3077, 14682, 2784, 318, 3433, 815, 1239, 18134, 9131, 325, 633, 14729, 792, 14682, 2784, 318, 3433, 262, 6540, 825, 2132, 2934, 14682, 2784, 318, 3433, 267, 3077, 14682, 2784, 318, 3433, 692, 3698, 5721, 15305, 5334, 5902, 12774, 6600, 633, 22674, 5076, 32470, 2187, 825, 23288, 825, 17776, 5721, 543, 1449, 1239, 325, 29707, 563, 825, 15981, 692, 825, 4183, 14682, 2784, 318, 3433, 267, 3077, 14682, 2784, 318, 3433, 815, 5094, 6958, 324, 2137, 318, 663, 4671, 13759, 6600, 633, 22674, 5076, 32470, 2020, 825, 1535, 17601, 267, 1535, 15305, 267, 586, 17601, 267, 586, 15305, 815, 5721, 15305, 5334, 5902, 6600, 324, 1155, 14682, 2784, 318, 3433, 267, 3077, 14682, 2784, 318, 3433, 2676, 14030, 13376, 1449, 15481, 284, 269, 273, 2020, 825, 2132, 1535, 17601, 267, 1535, 15305, 267, 586, 17601, 267, 586, 15305, 692, 3698, 3803, 318, 15035, 318, 2958, 1833, 31200, 318, 5976, 318, 2675, 2718, 3287, 17601, 267, 1535, 15305, 267, 586, 17601, 267, 586, 15305, 2187, 825, 23288, 825, 570, 1389, 538, 513, 1239, 18134, 543, 7125, 824, 3252, 547, 8237, 519, 1239, 883, 5721, 543, 1449, 5036, 563, 825, 17738, 1239, 1210, 513, 5276, 9695, 2203, 609, 3044, 18440, 547, 3589, 6280, 454, 825, 22692, 3928, 269, 2398, 6493, 5721, 543, 1449, 678, 273, 543, 544, 572, 269, 17292, 956, 519, 2203, 585, 2104, 946, 563, 825, 23288, 825, 9470, 518, 815, 9208, 306, 5632, 518, 4590, 825, 1535, 17601, 318, 2675, 4705, 815, 9470, 518, 32265, 4671, 4920, 845, 3287, 17601, 269, 11161, 994, 825, 1535, 15305, 318, 2675, 4705, 815, 9470, 518, 6745, 4920, 845, 3287, 15305, 269, 11161, 2020, 825, 5276, 318, 2958, 1833, 815, 12430, 8802, 1833, 4590, 825, 5276, 318, 2958, 1833, 32265, 3287, 17601, 318, 2675, 4705, 267, 586, 17601, 994, 825, 586, 28177, 815, 5276, 318, 2958, 1833, 4877, 9438, 3287, 15305, 318, 2675, 4705, 2020, 825, 678, 273, 17601, 815, 5276, 318, 2958, 1833, 269, 16557, 3287, 17601, 318, 2675, 4705, 267, 586, 17601, 994, 825, 678, 273, 15305, 815, 5276, 318, 2958, 1833, 269, 16557, 3287, 15305, 318, 2675, 4705, 267, 586, 15305, 994, 825, 544, 572, 815, 1611, 5334, 32464, 318, 19587, 12169, 15305, 267, 586, 28177, 2020, 825, 1948, 7179, 2203, 2164, 454, 825, 1820, 3488, 30791, 22953, 11778, 609, 2480, 2718, 24097, 333, 7055, 16875, 535, 262, 305, 317, 273, 21541, 281, 2715, 337, 273, 17601, 9574, 315, 333, 7055, 16875, 535, 262, 305, 317, 273, 4530, 281, 2715, 337, 273, 15305, 9574, 315, 333, 7055, 16875, 535, 262, 300, 10345, 281, 2715, 332, 572, 348, 17210, 825, 1948, 17292, 548, 2203, 454, 825, 609, 1930, 3488, 15035, 318, 2958, 1833, 4877, 9383, 3299, 1412, 342, 321, 10807, 607, 535, 912, 1038, 4584, 548, 6155, 2794, 263, 15035, 318, 2958, 1833, 267, 535, 2020, 3698, 1292, 10031, 825, 23288, 825, 20509, 338, 538, 519, 4266, 12774, 267, 24508, 519, 2934, 543, 3077, 267, 24508, 519, 1239, 454, 825, 883, 5721, 23150, 1606, 5902, 267, 543, 3096, 513, 12430, 22953, 2203, 609, 3044, 18440, 563, 825, 2398, 6493, 519, 2164, 543, 4584, 956, 519, 2203, 563, 825, 15981, 692, 825, 1948, 20509, 538, 1239, 454, 825, 2947, 22674, 5076, 32470, 815, 19073, 18667, 32269, 3488, 325, 633, 22674, 5076, 32470, 27406, 17210, 825, 1948, 11910, 4835, 3252, 547, 713, 7097, 454, 825, 1535, 17601, 267, 1535, 15305, 267, 586, 17601, 267, 586, 15305, 815, 5721, 15305, 5334, 5902, 12774, 6600, 633, 22674, 5076, 32470, 994, 825, 3803, 318, 15035, 318, 2958, 1833, 31200, 318, 5976, 318, 2675, 2718, 3287, 17601, 267, 1535, 15305, 267, 586, 17601, 267, 586, 15305, 2020, 10852, 4590, 0, 454, 5228, 10070, 1104, 18103, 1229, 291, 1112, 454, 5035, 700, 305, 10813, 5995, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 4390, 281, 703, 2187, 1038, 1582, 269, 5115, 815, 4390, 454, 1038, 1582, 6983, 5995, 815, 18103, 1229, 291, 1112, 10797, 825, 1219, 1205, 4311, 267, 1883, 281, 703, 264, 9847, 703, 912, 1038, 952, 711, 1582, 6983, 5995, 912, 2018, 6318, 28759, 2891, 290, 5995, 568, 8900, 5602, 1038, 3116, 912, 2018, 952, 1883, 538, 1582, 6983, 5995, 912, 3546, 2132, 1582, 6983, 5995, 10947, 31107, 994, 2018, 3116, 912, 3546, 2132, 910, 272, 692, 825, 1219, 2322, 4311, 267, 1883, 281, 703, 267, 1871, 281, 703, 264, 9847, 7183, 912, 1038, 952, 7003, 4311, 6983, 5995, 25631, 284, 1582, 269, 5115, 912, 2018, 1582, 6983, 5995, 314, 4486, 316, 815, 1871, 454, 1038, 3116, 912, 2018, 1582, 6983, 5995, 21014, 14403, 10857, 770, 25716, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1073, 329, 815, 700, 305, 10813, 5995, 263, 276, 994, 825, 1948, 4164, 318, 272, 815, 1073, 329, 10947, 31107, 994, 825, 1073, 329, 269, 1584, 263, 272, 2437, 298, 770, 19441, 5602, 825, 1073, 329, 269, 1584, 263, 273, 2437, 305, 22462, 15419, 825, 1820, 263, 28128, 10947, 263, 273, 264, 9239, 258, 2659, 700, 305, 10813, 5995, 1843, 786, 581, 8216, 7007, 543, 1572, 607, 971, 912, 258, 1073, 329, 815, 700, 305, 10813, 5995, 263, 5115, 13369, 994, 258, 4164, 318, 272, 815, 1073, 329, 10947, 31107, 994, 258, 1073, 329, 269, 1584, 31107, 267, 7407, 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 ]
[ 278, 547, 936, 5408, 2011, 2298, 543, 1852, 5533, 269, 1717, 267, 519, 1533, 540, 4993, 779, 7029, 547, 21365, 14107, 543, 5009, 2973, 2011, 7389, 1394, 547, 607, 2038, 607, 519, 476, 3707, 271, 338, 609, 519, 27299, 540, 519, 11968, 13353, 6019, 5794, 21694, 10588, 269, 769, 519, 7766, 8717, 267, 519, 4993, 4659, 540, 5303, 5645, 856, 2090, 602, 4857, 5434, 689, 4835, 13674, 9817, 607, 519, 3119, 2707, 540, 2011, 5533, 269, 9182, 267, 4993, 10660, 1229, 519, 4367, 540, 2766, 335, 6559, 12998, 4441, 267, 4742, 519, 1101, 1533, 547, 798, 865, 563, 1432, 568, 513, 27334, 289, 4211, 558, 680, 5050, 31098, 888, 763, 4993, 5794, 8249, 8274, 630, 290, 2752, 289, 264, 568, 538, 5279, 540, 5883, 782, 5533, 5829, 4145, 267, 21214, 1312, 2011, 543, 1216, 2152, 269, 1677, 9585, 713, 267, 27334, 289, 20964, 909, 3562, 15082, 12998, 4441, 602, 18402, 616, 2838, 547, 2743, 269, 9198, 2209, 602, 2743, 891, 4441, 616, 13042, 607, 27334, 289, 1290, 680, 5050, 267, 6466, 1346, 602, 1810, 1406, 616, 5219, 547, 607, 27334, 289, 6348, 1260, 680, 5050, 269, 27334, 289, 1290, 680, 5050, 18402, 723, 519, 5413, 540, 32749, 7864, 5739, 13802, 267, 5434, 267, 543, 1300, 12885, 267, 7551, 4611, 538, 4824, 543, 8902, 2011, 2298, 563, 1432, 568, 519, 3017, 1063, 5360, 5050, 19719, 543, 1875, 10687, 680, 5050, 19719, 888, 3849, 11447, 547, 27334, 289, 4441, 6920, 602, 707, 3937, 5360, 625, 609, 519, 1699, 12998, 4808, 1305, 8521, 676, 27334, 289, 269, 16811, 602, 568, 27334, 289, 10687, 680, 5050, 32307, 7864, 5739, 6878, 267, 13802, 267, 543, 5536, 267, 3056, 547, 4824, 543, 10930, 2011, 2298, 563, 290, 2752, 289, 1193, 1161, 547, 1852, 519, 12998, 540, 912, 268, 12539, 24785, 563, 268, 12539, 8166, 630, 4596, 273, 1916, 268, 21193, 878, 27911, 630, 17472, 343, 1916, 268, 590, 5285, 584, 27911, 630, 12569, 343, 1916, 268, 3487, 545, 3634, 2339, 563, 290, 2752, 289, 10687, 680, 5050, 18402, 616, 7074, 593, 519, 6003, 585, 2653, 8446, 269, 1677, 581, 16155, 4421, 538, 4993, 267, 3937, 1590, 581, 27334, 289, 5360, 5050, 269, 1879, 11449, 3937, 267, 596, 666, 2638, 609, 519, 645, 3041, 2177, 11718, 9755, 585, 27334, 289, 10687, 680, 5050, 3681, 563, 3963, 3442, 513, 27334, 289, 10687, 680, 5050, 11718, 888, 11155, 3151, 513, 27334, 289, 10687, 680, 5050, 11718, 568, 2629, 585, 3549, 543, 5238, 8647, 538, 4993, 267, 607, 621, 18715, 15984, 547, 1533, 6042, 543, 11527, 8460, 519, 2825, 1764, 540, 741, 2238, 269, 1635, 30230, 4771, 543, 705, 4575, 676, 27334, 289, 779, 12998, 4441, 267, 3549, 543, 5238, 666, 16155, 946, 741, 18402, 543, 3565, 547, 7393, 4993, 779, 2011, 2298, 563, 22958, 3320, 267, 20170, 547, 519, 12998, 4441, 1305, 676, 519, 4993, 5794, 8249, 8274, 630, 290, 2752, 289, 264, 568, 513, 3656, 13766, 950, 1210, 513, 11718, 538, 4993, 269, 23299, 547, 16783, 609, 891, 6042, 949, 1291, 547, 22717, 543, 20507, 563, 11101, 267, 513, 11718, 602, 10742, 27334, 289, 4441, 11226, 538, 1447, 2287, 519, 2825, 543, 1857, 1072, 4539, 540, 11718, 6165, 676, 16715, 5434, 540, 14107, 971, 607, 28634, 2339, 267, 9436, 27911, 267, 543, 30691, 269, 901, 2164, 538, 4824, 2199, 2011, 2298, 543, 7028, 519, 2949, 1072, 543, 1134, 5630, 540, 519, 2146, 563, 15563, 267, 676, 7446, 513, 16087, 10687, 680, 5050, 11718, 267, 4213, 543, 3906, 666, 2057, 519, 3790, 543, 20507, 2404, 609, 1875, 10687, 20869, 1247, 849, 9494, 593, 4492, 543, 5826, 538, 519, 1279, 2196, 269, 901, 568, 1317, 27334, 289, 10687, 680, 5050, 18402, 616, 2966, 547, 1599, 811, 7561, 267, 3056, 547, 8519, 5665, 9276, 563, 3963, 1772, 27334, 289, 28597, 12830, 888, 17653, 2209, 602, 3111, 547, 2743, 27334, 289, 4441, 12520, 5739, 14107, 602, 666, 31358, 2011, 2298, 543, 2569, 519, 2298, 540, 1272, 269, 1635, 20170, 547, 27334, 289, 6042, 267, 711, 1152, 568, 519, 2011, 2298, 6854, 693, 8902, 2157, 267, 855, 1896, 824, 5383, 616, 849, 6035, 269, 17616, 267, 513, 11718, 610, 2599, 602, 5360, 625, 609, 27334, 289, 6042, 15225, 9120, 4398, 543, 10727, 269, 634, 2640, 540, 27334, 289, 10687, 680, 5050, 18402, 8831, 3564, 891, 3344, 912, 268, 5440, 27677, 577, 15733, 281, 27334, 289, 10687, 680, 5050, 18402, 616, 14475, 1210, 519, 20923, 2326, 543, 2694, 269, 901, 2164, 538, 6099, 4492, 4346, 267, 7415, 15006, 267, 543, 519, 2973, 652, 2009, 1648, 2504, 563, 268, 25841, 5794, 21694, 281, 1635, 1210, 513, 27334, 289, 10687, 680, 5050, 11718, 1282, 1379, 856, 1137, 267, 596, 2461, 4180, 602, 707, 1072, 3884, 1406, 19847, 1813, 547, 26130, 2011, 269, 1452, 18402, 3565, 547, 15777, 267, 1732, 2011, 2298, 563, 268, 3680, 766, 540, 6755, 531, 2906, 281, 623, 3420, 2084, 610, 9513, 513, 1875, 1260, 680, 5050, 11718, 1223, 1267, 538, 22717, 267, 2687, 547, 2199, 610, 1533, 4031, 269, 27334, 289, 10687, 680, 5050, 18402, 2743, 31749, 4441, 982, 1346, 1305, 676, 519, 7025, 10466, 10837, 6042, 267, 7551, 4227, 519, 1981, 540, 1651, 584, 2590, 22717, 563, 268, 19889, 1922, 5987, 17349, 281, 3245, 519, 856, 3553, 267, 27334, 289, 779, 3119, 6662, 814, 1044, 547, 7413, 519, 2825, 11640, 540, 2599, 5434, 269, 29922, 513, 27334, 289, 10687, 680, 5050, 11718, 8309, 547, 519, 5726, 540, 938, 4541, 563, 268, 4270, 5630, 281, 9198, 2209, 602, 16783, 609, 27334, 289, 6042, 12520, 7864, 5739, 6878, 267, 4180, 10930, 6165, 269, 1411, 666, 18390, 946, 707, 11718, 267, 6616, 621, 740, 12742, 547, 22608, 6042, 543, 7472, 519, 5934, 2009, 5739, 5434, 563, 268, 27943, 1520, 11447, 281, 9717, 602, 27334, 289, 16404, 806, 519, 1034, 11826, 12998, 4441, 538, 519, 4182, 267, 596, 666, 3972, 602, 707, 27334, 289, 10687, 680, 5050, 11718, 25389, 782, 2556, 7355, 267, 7488, 540, 707, 1870, 4087, 563, 17754, 9026, 540, 513, 27334, 289, 5360, 5050, 11718, 454, 2026, 513, 3070, 267, 27334, 289, 6042, 11863, 519, 946, 540, 19307, 18402, 547, 22771, 585, 7470, 1379, 2530, 269, 1717, 267, 891, 18402, 267, 799, 2196, 593, 12318, 1043, 10173, 609, 1164, 8511, 3154, 5434, 267, 666, 14016, 622, 2011, 2298, 543, 10460, 4220, 547, 1857, 1072, 563, 17653, 2209, 602, 16783, 609, 27334, 289, 6042, 10994, 782, 891, 2152, 8195, 267, 5356, 2825, 267, 1072, 267, 543, 2883, 12374, 269, 4634, 3544, 540, 4993, 267, 7446, 513, 27334, 289, 10687, 680, 5050, 11718, 11438, 1896, 2640, 912, 268, 27326, 267, 15777, 1379, 3761, 2443, 2755, 1022, 1379, 3937, 666, 5352, 1796, 2421, 5201, 1282, 513, 3109, 719, 267, 27334, 289, 10687, 680, 5050, 18402, 616, 2966, 547, 1683, 15777, 1379, 585, 6905, 546, 15342, 563, 268, 25841, 2825, 5533, 2443, 20305, 1810, 1406, 723, 547, 14207, 741, 10450, 952, 789, 2154, 19307, 1379, 1282, 513, 1379, 856, 720, 563, 268, 3687, 574, 1242, 1072, 10898, 2443, 9198, 2209, 602, 2196, 15777, 10460, 1447, 3463, 547, 2043, 609, 7929, 610, 13487, 2152, 563, 268, 3143, 7254, 794, 4220, 2443, 634, 9042, 610, 11601, 540, 513, 11718, 602, 1281, 711, 2743, 16087, 4170, 949, 1267, 538, 22717, 267, 4470, 593, 1533, 267, 8513, 610, 2199, 6042, 563, 268, 32493, 12227, 2694, 2443, 22020, 585, 16087, 10687, 680, 5050, 18402, 616, 2966, 585, 6099, 4492, 4398, 267, 10727, 267, 543, 519, 2973, 652, 2009, 5106, 563, 1692, 547, 3442, 513, 27334, 289, 10687, 680, 5050, 11718, 888, 32382, 519, 1184, 540, 8939, 513, 27334, 289, 10687, 680, 5050, 11718, 666, 581, 4101, 267, 855, 676, 2519, 593, 1896, 2629, 3344, 267, 3549, 543, 3906, 666, 1118, 513, 1134, 26455, 3903, 563, 18183, 3305, 28597, 281, 634, 3355, 1900, 538, 8939, 513, 27334, 289, 10687, 680, 5050, 11718, 568, 4180, 602, 621, 740, 12742, 547, 519, 12998, 6042, 3964, 676, 519, 4993, 5794, 8249, 8274, 630, 290, 2752, 289, 1040, 5901, 606, 3750, 856, 585, 513, 27334, 289, 10220, 6003, 610, 15149, 593, 519, 11718, 610, 3177, 676, 519, 10672, 563, 7343, 12037, 12025, 281, 6452, 584, 2299, 8159, 519, 11718, 779, 2450, 585, 519, 4452, 621, 786, 6023, 568, 4105, 585, 6099, 4398, 543, 12998, 5786, 563, 292, 3939, 28951, 281, 27334, 289, 16404, 806, 7182, 593, 519, 14107, 513, 11718, 666, 3132, 269, 13667, 585, 519, 5934, 12998, 12773, 547, 7413, 519, 2825, 1764, 540, 11718, 6165, 563, 293, 3241, 7352, 1214, 281, 2506, 2153, 16863, 4268, 609, 1114, 4492, 2010, 269, 8838, 585, 513, 4492, 609, 513, 2539, 12998, 12773, 267, 899, 2067, 3154, 610, 4412, 2033, 563, 10000, 18141, 543, 26859, 281, 13705, 710, 5826, 543, 1425, 6005, 616, 2629, 585, 513, 11718, 547, 9846, 2743, 27334, 289, 12998, 4441, 269, 8564, 513, 11718, 602, 568, 3593, 7888, 538, 2474, 540, 5826, 267, 543, 2327, 7850, 1489, 568, 2139, 547, 1832, 519, 11718, 8647, 16900, 563, 10048, 3011, 25033, 28946, 2225, 281, 1411, 1058, 3442, 513, 6216, 602, 814, 513, 1434, 10639, 585, 3246, 1164, 7779, 267, 6325, 543, 27334, 289, 10687, 680, 5050, 18402, 269, 11565, 519, 10639, 540, 707, 645, 3041, 2177, 11718, 14273, 563, 3528, 20604, 891, 2188, 267, 3549, 543, 3906, 666, 2824, 513, 27334, 289, 10687, 680, 5050, 11718, 602, 7208, 1571, 741, 4170, 543, 6087, 873, 547, 7500, 16155, 543, 7561, 538, 4993, 563, 1432, 568, 519, 16338, 9737, 27334, 289, 543, 16501, 888, 290, 2752, 289, 568, 513, 2836, 4613, 1014, 8116, 602, 13327, 525, 519, 7939, 540, 5434, 689, 18402, 543, 9817, 9003, 1369, 4993, 269, 634, 7025, 10466, 10837, 630, 292, 5183, 1070, 513, 5313, 8116, 267, 14721, 8651, 4031, 1644, 547, 5434, 2066, 519, 2197, 269, 634, 1883, 11984, 1063, 27334, 289, 543, 16501, 6013, 538, 27334, 289, 779, 3648, 811, 22608, 4441, 563, 8777, 1149, 543, 18402, 602, 16783, 609, 27334, 289, 6042, 616, 811, 3608, 543, 2500, 269, 2755, 1169, 2599, 14475, 610, 30630, 538, 519, 2136, 2276, 1590, 2743, 16501, 4441, 267, 1152, 4993, 16155, 16404, 806, 27334, 289, 4170, 269, 1763, 6342, 540, 4993, 616, 8078, 730, 547, 15666, 547, 27334, 289, 267, 1247, 782, 824, 2829, 2154, 10220, 609, 519, 16501, 269, 9198, 2209, 602, 616, 27334, 289, 5360, 5050, 616, 711, 1175, 10357, 7888, 855, 849, 2709, 9120, 10727, 563, 11795, 2397, 1063, 27334, 289, 543, 16501, 30263, 8991, 594, 267, 4083, 267, 8633, 267, 543, 10001, 454, 763, 16501, 779, 11718, 5434, 5464, 11651, 2471, 689, 27334, 289, 6042, 538, 2474, 540, 570, 1512, 3652, 269, 2755, 789, 723, 1114, 4170, 267, 1312, 5036, 540, 6042, 2832, 547, 2569, 4492, 5434, 998, 741, 2189, 3652, 543, 4808, 269, 667, 19342, 18402, 2887, 896, 519, 1625, 1613, 540, 16501, 570, 4536, 585, 3937, 13324, 676, 1875, 5802, 17088, 9817, 563, 4407, 16501, 570, 4536, 5631, 829, 1555, 547, 17088, 9817, 267, 1519, 17088, 18402, 267, 972, 616, 849, 2067, 3154, 18402, 14475, 602, 16783, 609, 16501, 24501, 267, 1634, 607, 16501, 26133, 2067, 3154, 11718, 5036, 269, 634, 16501, 570, 4536, 6542, 875, 19260, 547, 9817, 936, 942, 723, 8476, 741, 10357, 1922, 5987, 17349, 269, 31098, 5434, 1058, 2743, 519, 7453, 652, 16501, 570, 1512, 4441, 538, 1747, 693, 519, 942, 540, 2504, 563, 268, 570, 1512, 476, 272, 281, 769, 476, 1960, 275, 267, 519, 16501, 8045, 519, 1101, 5313, 5434, 6042, 585, 1875, 5802, 17088, 9817, 609, 513, 12773, 540, 476, 4391, 4893, 578, 30476, 610, 1657, 563, 268, 570, 1512, 476, 273, 281, 769, 476, 1220, 272, 267, 519, 16501, 5189, 570, 1512, 476, 273, 267, 16287, 519, 3355, 5123, 538, 922, 3804, 547, 1793, 1662, 1875, 5802, 17088, 2599, 5434, 676, 909, 547, 1079, 22188, 676, 7598, 811, 11826, 4441, 982, 570, 1512, 476, 272, 563, 268, 570, 1512, 476, 274, 281, 13823, 1027, 538, 476, 1220, 277, 267, 570, 1512, 476, 274, 6719, 519, 1985, 1900, 538, 4227, 5434, 585, 1875, 5802, 17088, 9817, 267, 7930, 13868, 570, 1512, 476, 273, 563, 268, 570, 1512, 476, 275, 281, 769, 476, 1220, 279, 267, 519, 16501, 779, 570, 1512, 476, 275, 5434, 6042, 3964, 31749, 4441, 585, 2599, 4152, 543, 5106, 267, 7311, 547, 17088, 9817, 540, 782, 4893, 578, 3430, 16863, 563, 15253, 2391, 609, 27334, 289, 6042, 676, 1210, 513, 27334, 289, 2275, 1068, 1881, 11718, 568, 711, 1152, 513, 3656, 10421, 538, 519, 1533, 540, 4993, 267, 855, 849, 8309, 547, 2949, 3106, 543, 2825, 4027, 269, 898 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3642, 538, 2189, 267, 5683, 2081, 267, 5935, 519, 2104, 540, 3642, 4066, 269, 1635, 8508, 741, 1909, 267, 32266, 666, 1404, 606, 1898, 1909, 538, 4180, 3743, 3642, 538, 11080, 563, 25215, 976, 1043, 3642, 4886, 454, 763, 1646, 540, 14464, 11106, 630, 9590, 264, 538, 519, 11080, 2872, 1058, 581, 513, 13998, 3743, 1184, 563, 4415, 32266, 685, 3310, 267, 5683, 3642, 6165, 666, 581, 24458, 269, 589, 3119, 7156, 540, 713, 1131, 1331, 6313, 543, 5466, 9186, 538, 3014, 1543, 563, 11101, 267, 3354, 4145, 1472, 1239, 7834, 991, 547, 581, 2808, 1282, 3642, 1646, 547, 2149, 3593, 1344, 269, 31133, 619, 267, 9367, 267, 543, 8639, 1058, 1174, 519, 1279, 3856, 29854, 540, 10128, 3642, 883, 3756, 267, 1519, 1761, 21568, 7653, 543, 936, 3146, 18910, 593, 3642, 563, 15563, 267, 5683, 4808, 538, 3642, 1646, 1058, 581, 9788, 1524, 543, 14553, 740, 22363, 547, 269, 901, 711, 1152, 8309, 547, 513, 811, 12581, 11080, 1604, 855, 849, 13976, 6345, 3972, 563, 3528, 6220, 3743, 3642, 1646, 267, 649, 666, 10244, 519, 1379, 540, 3642, 538, 11080, 1247, 19086, 922, 1761, 19363, 563, 22137, 281, 31133, 619, 14118, 9760, 3642, 15979, 454, 294, 821, 616, 519, 2395, 950, 32266, 941, 8806, 6800, 269, 4653, 267, 789, 3310, 1082, 3344, 540, 3014, 1646, 267, 2523, 538, 7598, 5683, 5841, 4987, 269, 11153, 2090, 20838, 713, 3395, 1764, 563, 288, 1382, 1788, 5342, 676, 519, 2160, 540, 10228, 25967, 1819, 519, 2565, 1909, 32266, 1404, 538, 5935, 3642, 7881, 269, 1358, 616, 4749, 693, 519, 642, 1481, 731, 540, 7680, 3642, 2623, 267, 31986, 3466, 267, 543, 26655, 5683, 3664, 563, 19602, 267, 513, 1353, 689, 18628, 2160, 11130, 875, 32266, 2697, 5837, 12457, 2127, 538, 3642, 2773, 602, 9367, 1419, 26777, 269, 769, 741, 5872, 609, 3642, 267, 32266, 16616, 1761, 5683, 21140, 563, 13010, 267, 513, 5619, 676, 519, 30007, 12229, 5948, 7152, 602, 32266, 1616, 5683, 3642, 269, 15907, 476, 10019, 260, 540, 17013, 7682, 539, 602, 3642, 1058, 2463, 3593, 7834, 543, 23491, 5683, 4808, 563, 4415, 891, 2090, 267, 519, 2956, 540, 32266, 538, 30191, 3642, 7881, 568, 10423, 269, 4256, 9739, 616, 2629, 538, 4180, 3743, 3642, 538, 11080, 563, 29936, 540, 23496, 19078, 717, 5446, 3642, 454, 25363, 13586, 5683, 3642, 538, 11080, 568, 711, 1510, 922, 2591, 563, 763, 3119, 19224, 548, 6013, 538, 10747, 1018, 4018, 5809, 607, 2048, 25677, 9957, 5651, 1275, 9775, 20427, 2066, 1114, 4529, 267, 543, 4180, 14619, 585, 782, 5716, 11451, 3587, 513, 1950, 20089, 563, 10190, 267, 972, 568, 519, 3390, 540, 11413, 269, 1879, 3642, 2306, 513, 3375, 538, 513, 3014, 267, 5716, 3747, 24669, 3137, 267, 1586, 30286, 513, 1713, 4161, 585, 9367, 563, 11101, 267, 3642, 1031, 538, 3756, 2115, 547, 3082, 7683, 547, 519, 6345, 779, 9687, 1983, 267, 4180, 606, 6099, 11080, 1995, 269, 1717, 267, 1510, 1134, 28004, 5683, 4808, 267, 713, 13916, 1522, 1291, 547, 2942, 6345, 2623, 15699, 267, 513, 4049, 6161, 538, 519, 11080, 9992, 24471, 563, 15563, 267, 4180, 1239, 4027, 568, 849, 513, 7882, 1054, 4305, 269, 2060, 3642, 7471, 3756, 10655, 7372, 5666, 540, 1239, 267, 5329, 621, 5150, 543, 4357, 3587, 2629, 2943, 4101, 563, 1729, 13724, 19078, 3642, 22685, 5406, 454, 763, 5318, 3310, 540, 32266, 5932, 3255, 585, 5683, 3642, 10073, 538, 519, 11080, 2872, 563, 3528, 5009, 3743, 3642, 6165, 267, 32266, 616, 1134, 1790, 3789, 539, 547, 3747, 519, 946, 540, 3642, 1949, 1863, 689, 9186, 543, 7130, 269, 634, 6278, 540, 32266, 609, 2872, 5716, 666, 581, 513, 2178, 6117, 3196, 585, 6209, 1689, 267, 5807, 3756, 602, 616, 711, 1175, 19278, 267, 855, 849, 31719, 3280, 563, 2414, 2417, 3895, 5683, 3642, 267, 32266, 543, 9367, 7567, 1058, 4497, 538, 12001, 7391, 827, 3642, 779, 1909, 543, 519, 5837, 9270, 3238, 269, 27561, 6127, 585, 3642, 21568, 538, 3756, 1058, 849, 581, 8476, 267, 4180, 602, 1022, 3765, 25074, 616, 16425, 9619, 563, 3528, 22299, 532, 5683, 3642, 267, 519, 11080, 2146, 666, 3565, 547, 2679, 513, 811, 3743, 3642, 5251, 267, 6038, 22338, 519, 1259, 585, 513, 3655, 790, 337, 3059, 2104, 563, 1993, 8889, 543, 19938, 538, 717, 5446, 3642, 454, 9590, 568, 606, 5051, 1271, 851, 540, 2413, 3381, 3756, 269, 1717, 267, 922, 946, 538, 519, 2872, 2115, 547, 581, 14931, 547, 2061, 21568, 543, 2327, 5683, 4441, 563, 1103, 519, 11080, 5823, 267, 3642, 3609, 543, 7939, 1590, 581, 513, 10862, 269, 1452, 4507, 1058, 581, 3358, 547, 1331, 3403, 689, 32266, 2933, 267, 945, 20244, 1174, 519, 6384, 540, 519, 3756, 789, 1404, 563, 292, 742, 2176, 547, 1711, 4808, 602, 3927, 6330, 519, 10848, 540, 713, 3390, 616, 5571, 269, 3204, 22399, 991, 547, 4739, 4507, 602, 2327, 519, 3642, 568, 1031, 19100, 267, 28863, 2123, 1239, 267, 543, 8992, 14619, 538, 29863, 563, 13233, 543, 3486, 4031, 786, 849, 1404, 513, 2629, 1909, 538, 30191, 891, 4441, 267, 607, 789, 2327, 12477, 543, 11349, 3972, 1851, 32266, 269, 769, 713, 1259, 267, 519, 11080, 2872, 666, 3136, 547, 3048, 622, 1247, 4509, 606, 5683, 5748, 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 ]
[ 6079, 16590, 269, 13536, 267, 11827, 519, 7504, 1673, 22148, 554, 4141, 543, 7504, 1673, 22148, 2490, 760, 16590, 563, 22873, 6053, 6594, 585, 519, 3046, 981, 855, 2760, 2968, 513, 8026, 536, 1551, 3563, 269, 23548, 534, 10707, 538, 2342, 538, 1931, 547, 1265, 8323, 1106, 513, 17422, 17966, 618, 269, 1261, 3576, 1719, 538, 543, 6594, 519, 2199, 6694, 2553, 538, 519, 11903, 29288, 540, 5333, 543, 538, 519, 2489, 6694, 2553, 1472, 519, 11335, 563, 8138, 8019, 646, 4824, 543, 1561, 14876, 593, 891, 4767, 2553, 563, 26796, 1010, 2132, 547, 519, 5177, 267, 646, 3964, 968, 3682, 338, 704, 640, 892, 12426, 543, 4682, 593, 547, 1711, 519, 1101, 968, 2246, 11703, 892, 7504, 1673, 22148, 6079, 16590, 799, 729, 5827, 540, 9544, 9343, 540, 6079, 538, 513, 16517, 267, 11295, 6073, 269, 2776, 16227, 267, 713, 1185, 1044, 5645, 856, 676, 1688, 269, 901, 2497, 4847, 585, 1732, 513, 3130, 267, 1216, 10338, 543, 3037, 6484, 799, 5795, 4473, 547, 2362, 7693, 11729, 563, 30952, 267, 646, 4682, 593, 547, 1711, 519, 1101, 968, 2246, 11703, 892, 7504, 1673, 22148, 2490, 760, 16590, 543, 5310, 811, 11932, 267, 519, 7504, 1673, 22148, 554, 4141, 269, 634, 1184, 540, 554, 27739, 2636, 1732, 21774, 540, 7509, 543, 5567, 547, 3597, 1949, 607, 1134, 607, 4543, 547, 6922, 1047, 18290, 2208, 267, 865, 713, 568, 513, 4324, 547, 1082, 7693, 2010, 269, 11153, 540, 1010, 1568, 941, 3370, 855, 941, 711, 7620, 1134, 4607, 543, 538, 1249, 2813, 606, 909, 549, 541, 538, 519, 6694, 2146, 269, 1717, 267, 5555, 267, 1082, 630, 8117, 711, 782, 264, 540, 1010, 6436, 2968, 4922, 7608, 607, 1434, 6694, 2259, 267, 1082, 540, 799, 616, 1869, 538, 946, 547, 713, 1554, 563, 13548, 920, 323, 281, 3842, 9504, 0, 763, 9650, 5174, 2056, 7169, 281, 1133, 548, 4770, 519, 5295, 540, 17747, 9612, 1621, 1149, 454, 1103, 513, 1158, 1141, 3406, 9817, 723, 1831, 606, 7533, 851, 540, 938, 3232, 2729, 267, 7683, 5355, 741, 6620, 543, 4398, 267, 513, 1007, 6639, 14634, 814, 7153, 602, 14767, 547, 6494, 3406, 9817, 883, 513, 1533, 540, 535, 1066, 5414, 269, 901, 14262, 5647, 267, 1634, 607, 17747, 9612, 1621, 1149, 267, 11573, 1137, 519, 1379, 540, 7061, 11707, 547, 28196, 710, 519, 7182, 540, 1344, 23023, 269, 4858, 576, 3054, 585, 513, 2247, 1532, 2056, 4838, 607, 649, 2263, 519, 1761, 540, 891, 9058, 6191, 543, 741, 1764, 593, 938, 3059, 5251, 563, 4462, 548, 4770, 17747, 23317, 454, 23797, 636, 11707, 568, 513, 7936, 540, 6323, 602, 12538, 883, 519, 20868, 543, 8748, 1158, 540, 5536, 693, 519, 10570, 543, 1016, 30061, 1377, 269, 898, 6257, 875, 891, 5536, 666, 2291, 538, 2789, 2829, 8195, 267, 7064, 547, 513, 3959, 1634, 607, 2706, 6570, 267, 543, 875, 789, 666, 1831, 1303, 22931, 267, 12018, 1142, 824, 8216, 24345, 936, 5318, 9883, 563, 19604, 1145, 532, 891, 2247, 1532, 17344, 1782, 9259, 267, 3744, 723, 2966, 7061, 6620, 5827, 540, 856, 704, 14127, 8106, 3406, 6620, 676, 9753, 540, 9588, 269, 9521, 8106, 3406, 9817, 602, 6218, 7399, 18615, 569, 267, 7061, 3406, 9817, 15407, 6252, 1143, 547, 6218, 2789, 7399, 8195, 269, 901, 7061, 6252, 1143, 267, 5916, 609, 606, 5690, 1572, 23108, 591, 779, 5690, 267, 2636, 585, 513, 10565, 3432, 1575, 538, 519, 3406, 1184, 563, 763, 5295, 540, 8111, 6570, 543, 9980, 836, 2211, 454, 21841, 6570, 6013, 693, 519, 2295, 540, 7061, 3406, 9817, 269, 2755, 8106, 11353, 666, 581, 2901, 476, 271, 610, 476, 272, 267, 7061, 11353, 267, 610, 844, 23605, 267, 666, 2291, 538, 513, 2706, 6570, 540, 1312, 2829, 8195, 269, 901, 1797, 602, 513, 7061, 3406, 2599, 666, 2263, 2789, 3406, 10092, 8195, 267, 13497, 4227, 519, 942, 2838, 547, 1265, 519, 5551, 1344, 563, 13010, 267, 1303, 836, 2211, 3217, 7061, 3406, 9817, 547, 1776, 1377, 269, 1879, 844, 23605, 1831, 1303, 22931, 267, 741, 2829, 1831, 17047, 267, 1256, 950, 9674, 676, 5318, 9883, 269, 901, 3959, 6087, 7061, 3406, 9817, 547, 1184, 543, 5659, 1344, 538, 513, 3810, 10562, 6073, 267, 3056, 547, 13778, 12985, 1379, 563, 2419, 320, 657, 538, 519, 7913, 7464, 332, 454, 763, 4367, 540, 7061, 3406, 9817, 814, 519, 1761, 547, 6494, 8710, 30335, 2429, 519, 3059, 7706, 269, 12465, 3406, 9817, 267, 20979, 585, 8106, 7384, 267, 786, 6560, 547, 1832, 909, 609, 519, 17500, 1922, 770, 19707, 5340, 676, 741, 7061, 13413, 269, 1306, 7061, 3406, 9817, 2744, 23146, 267, 519, 2757, 20823, 543, 4994, 532, 6620, 602, 1379, 3406, 2164, 786, 10929, 9097, 14759, 563, 15507, 2599, 3549, 786, 5198, 547, 11753, 7061, 3406, 7207, 883, 741, 5867, 547, 3251, 6619, 540, 519, 6735, 269, 901, 7061, 7916, 5198, 786, 5397, 5647, 543, 17362, 519, 1259, 585, 513, 1007, 5736, 540, 1344, 23023, 563, 763, 17747, 2372, 663, 776, 454, 4407, 519, 7399, 540, 7061, 3406, 9817, 616, 2247, 1532, 2056, 267, 972, 616, 2591, 602, 1590, 581, 7753, 1354, 789, 666, 1831, 13416, 269, 17747, 5904, 616, 3810, 6213, 547, 2825, 18063, 267, 1818, 873, 12155, 547, 6959, 269, 17747, 5470, 15494, 543, 13337, 2389, 26985, 7384, 616, 2127, 540, 5571, 1382, 547, 2232, 891, 2591, 563, 12234, 267, 7061, 3406, 6620, 616, 1034, 2500, 585, 1808, 2010, 540, 19707, 267, 971, 607, 4466, 3688, 538, 606, 5667, 9285, 6538, 269, 1358, 949, 711, 1683, 1713, 3432, 5725, 585, 782, 2010, 540, 14511, 269, 1306, 3173, 3136, 547, 13217, 7061, 6620, 543, 1020, 1007, 3283, 267, 519, 1761, 3156, 540, 7061, 3406, 9817, 786, 4228, 563, 763, 4417, 540, 7061, 3406, 9817, 568, 26405, 547, 28196, 710, 519, 3059, 5251, 607, 649, 917, 621, 269, 4256, 2702, 547, 15407, 519, 1379, 540, 7061, 11707, 547, 1685, 17500, 1922, 770, 19707, 814, 519, 1761, 547, 22499, 1344, 23023, 269, 1306, 3406, 2599, 3549, 11441, 547, 10244, 519, 1761, 540, 7061, 7384, 267, 649, 666, 2503, 513, 13710, 6521, 538, 875, 649, 1569, 543, 1184, 1344, 563, 4913, 267, 649, 616, 1869, 693, 519, 2038, 5933, 540, 713, 7061, 4838, 267, 543, 1082, 2591, 2611, 269, 744, 32054, 1382, 543, 7760, 538, 7061, 7384, 786, 581, 2629, 538, 20408, 891, 9465, 543, 30196, 519, 2407, 1761, 540, 7061, 3406, 9817, 269, 4858, 576, 3054, 585, 513, 2104, 1141, 519, 6302, 540, 3406, 7207, 616, 695, 13593, 267, 543, 519, 796, 19960, 514, 762, 3587, 4641, 563, 5415, 4930, 899, 834, 763, 9650, 5174, 2056, 7169, 281, 1133, 548, 4770, 519, 5295, 540, 17747, 9612, 1621, 1149, 4840, 1103, 519, 3059, 2085, 267, 3406, 9817, 616, 519, 24891, 547, 519, 5318, 1158, 540, 1344, 2139, 593, 519, 4950, 269, 1284, 946, 873, 3232, 547, 1265, 4267, 547, 938, 2055, 267, 3605, 1007, 7270, 267, 543, 1569, 513, 16221, 540, 2200, 269, 1809, 723, 596, 2479, 9289, 875, 3406, 9817, 917, 950, 1007, 1543, 568, 2139, 610, 950, 2242, 20965, 1103, 519, 6385, 9687, 1158, 540, 2029, 267, 6531, 2861, 3435, 723, 1831, 16832, 585, 4213, 543, 2043, 7567, 269, 5565, 1883, 2474, 602, 1419, 1205, 954, 577, 6548, 610, 11821, 616, 968, 30208, 21118, 532, 892, 543, 968, 30208, 17270, 2108, 269, 2755, 1312, 2035, 31721, 1472, 519, 6531, 267, 789, 616, 21739, 1114, 538, 741, 9165, 543, 10342, 269, 769, 713, 2376, 267, 649, 786, 5490, 883, 20965, 8702, 547, 519, 28430, 7706, 540, 7061, 4641, 267, 513, 2247, 1532, 2056, 3460, 883, 519, 29737, 543, 829, 14658, 532, 1016, 30061, 7122, 269, 769, 713, 9159, 2376, 267, 649, 786, 5490, 883, 519, 4241, 543, 4831, 842, 30698, 3741, 602, 1827, 519, 1158, 693, 519, 17646, 5006, 10253, 267, 4101, 3388, 649, 1589, 649, 917, 827, 6323, 543, 938, 1747, 538, 519, 26355, 269, 16259, 547, 31218, 0, 12552, 585, 707, 1448, 269, 594, 3858, 609, 596, 269, 1284, 666, 8197, 946, 968, 2108, 2171, 267, 519, 22893, 540, 519, 1896, 3864, 2276, 892, 610, 968, 2171, 267, 519, 22893, 540, 519, 10480, 3130, 540, 519, 2136, 2276, 540, 2342, 9731, 1607, 568, 513, 8106, 7411, 267, 602, 568, 1946, 649, 3893, 968, 2171, 519, 4658, 540, 519, 2136, 2276, 892, 538, 519, 1977, 9139, 1510, 513, 5730, 1592, 540, 519, 2829, 607, 519, 11156, 729, 538, 519, 3731, 2305, 1184, 269, 2755, 519, 4550, 1922, 3985, 1235, 899, 18536, 8361, 6956, 621, 607, 513, 2367, 864, 547, 519, 16285, 540, 519, 2829, 267, 8385, 519, 4542, 1185, 1044, 5189, 607, 513, 2339, 540, 15424, 26004, 547, 2463, 1533, 16285, 269, 30464, 8643, 5206, 1945, 593, 602, 538, 1010, 4574, 593, 2836, 327, 1735, 543, 16962, 269, 594, 993, 6126, 547, 2671, 2417, 9623, 593, 602, 269, 1306, 649, 917, 267, 2663, 267, 602, 968, 933, 519, 1004, 892, 729, 1031, 547, 585, 613, 513, 1483, 5313, 1004, 269, 1411, 666, 1265, 2417, 3877, 538, 21546, 1433, 267, 6427, 532, 519, 1004, 4179, 2517, 4178, 269, 600, 7571, 269, 527, 270, 1103, 28124, 6261, 324, 963, 6261, 641, 983, 4149, 30371, 14879, 27761, 1633, 7933, 335, 270, 271, 4375, 20065, 277, 2537, 273, 0, 1432, 616, 519, 2010, 540, 7791, 1648, 2959, 1031, 593, 13677, 11396, 888, 763, 1034, 1455, 2010, 540, 7791, 1648, 2959, 1031, 593, 13677, 11396, 616, 2842, 18434, 267, 3859, 25675, 630, 11901, 264, 8440, 267, 2196, 540, 5757, 32394, 14565, 267, 26103, 2007, 22246, 543, 13947, 26925, 269, 9891, 8143, 949, 849, 581, 1031, 543, 3002, 15450, 666, 1683, 8022, 543, 9023, 267, 855, 3002, 15450, 786, 1869, 2154, 5201, 547, 7500, 269, 634, 10253, 540, 7791, 1646, 786, 4268, 4470, 593, 519, 3135, 543, 2029, 269, 6489, 1648, 568, 519, 4102, 2707, 540, 7791, 5201, 538, 10430, 267, 10451, 476, 4281, 260, 540, 782, 7791, 5201, 3977, 538, 10430, 538, 476, 1708, 273, 563, 2690, 811, 1344, 593, 1808, 4066, 3643, 281, 4179, 2517, 4178, 8807, 553, 31892, 582, 19841, 1444, 270, 30873, 268, 4219, 22812, 2908, 762, 20589, 270, 2224, 995, 1790, 3016, 725, 13045, 1692, 1454, 2724, 666, 6705, 4688, 676, 1210, 7791, 1648, 2959, 888, 763, 2179, 540, 2724, 6705, 666, 4688, 676, 1210, 7791, 1648, 2959, 9775, 4470, 593, 519, 1826, 540, 1648, 2707, 543, 519, 2450, 540, 519, 3484, 269, 2060, 1164, 1648, 5777, 267, 6705, 666, 4688, 3648, 593, 741, 1648, 12014, 676, 15175, 547, 7791, 1648, 2959, 543, 15558, 1154, 7470, 5201, 267, 4543, 547, 1831, 811, 1648, 1582, 1606, 11211, 563, 1432, 616, 519, 1292, 2591, 6849, 6705, 945, 1616, 547, 6467, 547, 7791, 1648, 2959, 888, 6701, 972, 14828, 610, 7616, 2139, 888, 289, 3471, 543, 2883, 5238, 949, 2709, 7957, 24461, 3928, 585, 12029, 593, 7791, 543, 3039, 3785, 269, 4329, 1489, 949, 581, 2139, 998, 14565, 971, 607, 6355, 6052, 10430, 267, 945, 2709, 513, 590, 10933, 10753, 534, 543, 824, 6666, 3724, 3681, 585, 4398, 543, 3002, 3785, 269, 5851, 6052, 10430, 849, 2709, 2147, 4130, 4336, 1489, 952, 3257, 960, 547, 513, 10821, 3959, 563, 5415, 9623, 593, 6355, 6052, 10430, 666, 581, 1336, 1934, 281, 4179, 2517, 321, 5350, 523, 1120, 903, 20799, 1633, 3820, 4882, 17745, 15351, 270, 543, 811, 9623, 593, 5851, 6052, 10430, 666, 581, 1336, 1934, 281, 8940, 19544, 727, 523, 1120, 903, 20799, 1633, 3820, 11721, 27448, 17320, 7847, 2000, 334, 753, 13045, 6701, 972, 1022, 2229, 15314, 585, 6705, 547, 6467, 547, 7791, 1648, 2959, 888, 1103, 519, 2250, 972, 941, 1896, 2229, 15314, 2139, 585, 6705, 945, 6467, 547, 7791, 1648, 2959, 267, 971, 607, 519, 24997, 14333, 769, 1417, 633, 630, 305, 26980, 264, 543, 519, 16376, 2987, 20579, 858, 630, 293, 3951, 1040, 1717, 267, 1312, 540, 891, 14565, 616, 1631, 6806, 547, 1007, 3156, 269, 6554, 1489, 814, 4389, 607, 519, 5823, 3587, 811, 3964, 267, 855, 930, 1489, 568, 1869, 2139, 998, 14565, 971, 607, 12829, 1401, 1636, 2871, 5875, 2465, 630, 306, 9680, 1070, 799, 5849, 602, 7791, 18402, 616, 6976, 585, 519, 5201, 789, 13143, 547, 519, 7470, 269, 634, 1292, 2804, 10256, 1631, 616, 1419, 15558, 1154, 543, 4540, 1164, 593, 338, 924, 3747, 543, 4061, 15558, 1154, 1164, 1648, 12014, 267, 607, 10353, 547, 2229, 15314, 563, 30025, 1489, 14565, 1689, 936, 942, 267, 543, 1007, 14565, 949, 581, 5189, 269, 4475, 267, 621, 568, 19624, 547, 5077, 4013, 5177, 543, 13677, 6554, 7270, 543, 4143, 7616, 8041, 267, 585, 519, 1034, 909, 3562 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3725, 24554, 532, 606, 5736, 998, 922, 10070, 454, 13563, 2067, 807, 267, 610, 5439, 540, 2470, 689, 519, 5375, 11782, 267, 723, 1500, 741, 1259, 883, 10070, 540, 6239, 2342, 899, 519, 20908, 3726, 9754, 538, 519, 595, 2211, 25177, 538, 26285, 826, 269, 570, 2586, 856, 540, 741, 3312, 2796, 543, 2451, 5805, 600, 1441, 538, 10070, 267, 1896, 540, 891, 3615, 22937, 2933, 547, 513, 3818, 16162, 4184, 1441, 2413, 6514, 540, 6239, 2342, 1282, 513, 942, 540, 1390, 2686, 15377, 269, 634, 670, 3041, 303, 3198, 4932, 288, 1788, 3523, 919, 609, 11204, 267, 5053, 543, 2475, 3744, 547, 2445, 607, 1454, 1344, 827, 606, 1843, 543, 922, 1686, 607, 2009, 267, 29979, 676, 1699, 3621, 2409, 269, 634, 16646, 540, 606, 1843, 779, 1686, 543, 519, 18883, 540, 519, 5736, 621, 729, 6394, 538, 786, 581, 2170, 1947, 4843, 547, 519, 1857, 563, 293, 27448, 30868, 5960, 7563, 268, 9281, 910, 21322, 4787, 22119, 617, 3298, 6390, 4211, 584, 773, 10572, 26665, 3298, 4721, 630, 9281, 994, 8512, 1676, 14540, 3565, 547, 519, 6388, 540, 519, 2962, 267, 855, 798, 711, 1129, 519, 16827, 15716, 563, 271, 3393, 1015, 6792, 5940, 761, 334, 8549, 454, 8450, 593, 4786, 0, 8248, 553, 267, 623, 529, 636, 2893, 643, 636, 267, 616, 513, 3579, 32734, 1430, 7693, 585, 22340, 10434, 1465, 2098, 2158, 476, 274, 547, 476, 1556, 563, 17829, 538, 10851, 602, 4309, 15470, 30889, 543, 28231, 538, 519, 5614, 267, 1247, 1346, 538, 519, 3636, 652, 10851, 1369, 713, 2039, 2030, 538, 519, 2887, 585, 513, 5162, 7556, 563, 2171, 3095, 547, 21527, 547, 948, 596, 1265, 4143, 2472, 269, 1403, 596, 4444, 689, 835, 540, 938, 6402, 267, 649, 949, 7118, 513, 10243, 563, 5978, 3391, 547, 3395, 17112, 538, 11149, 814, 782, 596, 991, 547, 917, 547, 6318, 513, 7693, 13964, 1510, 513, 4677, 563, 1607, 2376, 3217, 8708, 12202, 513, 1900, 2417, 543, 6770, 890, 320, 14713, 16280, 563, 2080, 779, 1018, 649, 3580, 3382, 912, 1432, 1411, 3580, 6258, 454, 4131, 779, 7914, 538, 2336, 8248, 553, 616, 2818, 540, 519, 28529, 19687, 1920, 540, 2371, 602, 849, 2882, 10365, 269, 4437, 10999, 6340, 267, 513, 890, 320, 568, 513, 13942, 267, 610, 17580, 6079, 267, 543, 519, 2898, 10540, 568, 2808, 513, 1850, 2541, 563, 303, 269, 2893, 643, 636, 568, 606, 5993, 602, 9428, 585, 1152, 835, 4005, 267, 11264, 922, 3003, 1272, 4783, 538, 713, 942, 269, 1284, 3548, 519, 5452, 267, 610, 519, 5452, 543, 10540, 338, 540, 930, 8677, 267, 607, 5388, 563, 1103, 519, 4677, 267, 891, 2371, 616, 1634, 607, 968, 27848, 4088, 4368, 619, 892, 1317, 741, 5072, 723, 513, 1623, 25027, 2078, 609, 29127, 14113, 4551, 563, 763, 4551, 1106, 12162, 2737, 543, 3935, 1125, 593, 519, 5072, 543, 267, 538, 2132, 267, 968, 25785, 892, 11626, 9436, 585, 519, 890, 320, 2030, 543, 15231, 2371, 547, 946, 607, 1426, 563, 5194, 1187, 1249, 827, 17112, 568, 602, 789, 616, 1582, 1922, 1068, 850, 267, 543, 666, 3542, 3729, 2933, 1510, 519, 948, 540, 10987, 543, 824, 7786, 267, 13461, 3079, 593, 519, 2842, 547, 795, 739, 548, 519, 14947, 883, 2990, 563, 294, 31678, 610, 2296, 2010, 616, 1346, 602, 649, 7387, 1354, 4189, 269, 4256, 10540, 338, 616, 9157, 543, 538, 539, 1043, 563, 306, 852, 17112, 723, 6263, 267, 1799, 1155, 5452, 3330, 6366, 267, 17580, 10540, 338, 563, 4517, 519, 4006, 26882, 3099, 814, 726, 2794, 5180, 5452, 3330, 17580, 10540, 338, 563, 5278, 8677, 1332, 593, 1279, 30676, 602, 2154, 588, 1136, 269, 11524, 723, 513, 811, 11741, 267, 1668, 1506, 1106, 543, 991, 8766, 547, 1100, 1489, 563, 15253, 716, 2371, 616, 519, 1655, 3903, 585, 8708, 12202, 1317, 789, 1491, 909, 1447, 4055, 543, 2154, 2370, 547, 1100, 588, 1136, 563, 6524, 649, 7914, 883, 3395, 267, 5225, 4063, 602, 972, 568, 513, 15496, 25798, 2030, 596, 949, 849, 581, 5432, 609, 1572, 519, 6653, 890, 320, 267, 700, 4331, 6350, 17627, 9850, 563, 2005, 568, 606, 538, 539, 1043, 543, 6757, 2249, 269, 3367, 6079, 21168, 5402, 267, 543, 798, 711, 12161, 6653, 17112, 585, 17580, 17112, 563, 21093, 27973, 547, 7233, 454, 2691, 3395, 707, 7693, 16280, 267, 621, 779, 1898, 547, 1683, 15792, 1769, 1107, 693, 2547, 5216, 3108, 540, 7943, 829, 1554, 563, 2252, 596, 723, 513, 5045, 1922, 5217, 6885, 267, 596, 666, 2119, 11093, 17428, 2282, 621, 269, 18554, 873, 5702, 547, 2057, 6978, 1085, 25403, 689, 7920, 12345, 998, 519, 4837, 269, 1403, 713, 4386, 267, 1847, 519, 2371, 1394, 267, 909, 547, 1614, 3952, 689, 519, 6885, 563, 763, 4998, 4055, 2837, 568, 1063, 476, 2568, 543, 476, 3583, 13790, 1547, 3680, 11093, 17428, 2282, 25256, 27861, 543, 7450, 1811, 602, 949, 2014, 31585, 543, 2837, 15088, 563, 21446, 2299, 610, 538, 14966, 267, 596, 949, 946, 606, 10896, 1332, 1769, 269, 589, 1974, 540, 827, 476, 1015, 547, 476, 1321, 3108, 829, 1554, 9944, 513, 1332, 1769, 1138, 12885, 519, 2407, 3141, 2175, 891, 2371, 991, 547, 8853, 13964, 563, 8196, 519, 1332, 1769, 693, 513, 3845, 540, 3670, 547, 476, 1321, 6279, 689, 519, 3037, 2627, 267, 9870, 621, 2362, 607, 519, 2371, 1332, 563, 2791, 3580, 991, 513, 1134, 1673, 20995, 8708, 269, 5221, 891, 2371, 723, 13719, 5072, 267, 621, 3085, 1406, 991, 547, 581, 2620, 269, 20640, 547, 476, 1321, 6279, 568, 7850, 563, 2252, 596, 616, 3395, 585, 519, 3483, 540, 16276, 890, 320, 28667, 267, 513, 6390, 22534, 610, 2890, 26572, 839, 267, 2864, 982, 3850, 873, 547, 1020, 10540, 338, 267, 513, 13719, 3443, 827, 1614, 6279, 1164, 609, 9475, 5309, 3481, 538, 519, 5377, 568, 7850, 563, 2005, 779, 1655, 547, 30889, 5452, 538, 513, 8708, 602, 666, 13918, 9921, 7516, 547, 2057, 13003, 532, 17866, 22534, 563, 2791, 949, 899, 513, 6885, 4216, 1826, 1544, 614, 585, 513, 5045, 1922, 5217, 9486, 650, 610, 2789, 5180, 17428, 1305, 593, 513, 3349, 9944, 513, 1332, 1769, 269, 2142, 2386, 547, 1450, 4055, 585, 25312, 1063, 17428, 563, 5629, 596, 4076, 6074, 707, 6077, 267, 596, 666, 6445, 621, 547, 1369, 835, 10759, 540, 519, 26079, 609, 1164, 7779, 267, 7509, 3146, 339, 550, 633, 267, 782, 26928, 29238, 3037, 563, 292, 4944, 5448, 17667, 8000, 1154, 14606, 17186, 267, 2139, 3842, 8835, 267, 568, 513, 3638, 11100, 602, 3568, 16507, 1250, 14585, 9071, 714, 2801, 602, 1489, 2068, 4187, 563, 1103, 519, 4677, 267, 519, 4998, 3037, 814, 513, 9063, 540, 476, 276, 269, 279, 547, 476, 278, 269, 271, 269, 8000, 1154, 3037, 18187, 919, 713, 1377, 540, 23639, 585, 11255, 543, 9205, 8708, 12202, 563, 23744, 267, 968, 31542, 26767, 892, 899, 17112, 602, 3565, 9436, 547, 519, 3618, 1472, 873, 1810, 1406, 2154, 22289, 563, 4913, 267, 950, 3395, 538, 513, 8708, 16280, 267, 513, 1970, 5991, 527, 4088, 30704, 1587, 267, 971, 607, 835, 609, 606, 26128, 298, 5223, 540, 476, 276, 268, 1015, 268, 1015, 2073, 568, 6225, 269, 15233, 621, 838, 2130, 569, 950, 519, 5810, 2253, 547, 5229, 563, 21446, 8271, 267, 946, 606, 782, 26928, 5277, 2777, 8690, 1426, 29809, 609, 1216, 547, 835, 6709, 6621, 4222, 563, 3086, 267, 1577, 779, 1205, 9544, 2336, 1692, 547, 22320, 454, 26596, 527, 1125, 707, 1007, 1494, 4433, 264, 609, 513, 476, 1015, 12656, 1417, 6926, 778, 3070, 630, 821, 851, 6926, 778, 547, 8370, 2694, 1216, 1070, 27125, 1134, 267, 543, 3819, 563, 10303, 891, 2371, 1810, 1406, 1491, 13003, 532, 1134, 267, 621, 779, 1655, 547, 30889, 5452, 538, 513, 1494, 1804, 2614, 547, 13918, 9921, 7516, 563, 293, 650, 609, 29238, 3037, 547, 835, 10759, 2630, 519, 1494, 26079, 585, 2653, 14450, 563, 3086, 568, 519, 942, 547, 1039, 513, 1726, 961, 529, 610, 824, 1489, 2497, 547, 519, 1494, 267, 1354, 519, 5452, 979, 538, 543, 519, 5072, 2253, 547, 1332, 269, 2422, 519, 6609, 593, 519, 6079, 17142, 547, 3313, 952, 713, 568, 2556, 1107, 17382, 2010, 786, 711, 3335, 2154, 588, 1136, 563, 7093, 335, 519, 3819, 5452, 676, 865, 1136, 873, 16074, 538, 2614, 1216, 547, 3382, 873, 4625, 563, 763, 1985, 1554, 267, 2482, 519, 865, 8898, 5452, 593, 1957, 28734, 547, 3819, 1354, 9544, 269, 2368, 949, 723, 2907, 17708, 1540, 563, 306, 578, 519, 5452, 835, 547, 835, 543, 513, 3368, 6279, 2620, 269, 1280, 1022, 602, 723, 17708, 1540, 267, 1448, 519, 9496, 16057, 563, 22129, 519, 5452, 835, 543, 513, 3368, 547, 1614, 6279, 6306, 269, 634, 3152, 519, 3845, 267, 519, 1732, 519, 25312, 786, 581, 950, 519, 2371, 1332, 267, 543, 519, 2539, 519, 1981, 540, 16507, 2068, 563, 2690, 1346, 3395, 2890, 26572, 839, 1152, 267, 596, 666, 30889, 29822, 267, 11093, 519, 5452, 1996, 1142, 824, 543, 4946, 811, 2394, 519, 26745, 568, 2407, 563, 4415, 519, 5227, 19437, 267, 596, 786, 711, 723, 547, 6094, 519, 19155, 8259, 596, 1616, 547, 18290, 856, 1022, 4617, 3283, 563, 14611, 1555, 1256, 7509, 267, 855, 2057, 16136, 4405, 566, 269, 589, 7509, 11281, 666, 948, 596, 6895, 14450, 2115, 563, 20278, 538, 513, 13566, 6885, 610, 896, 513, 1332, 1769, 563, 4131, 779, 973, 777, 269, 1879, 596, 3314, 519, 1739, 267, 596, 2461, 593, 519, 4155, 547, 3811, 11255, 14713, 912, 268, 3629, 6505, 2067, 610, 10896, 1769, 585, 909, 547, 476, 1321, 3108, 3232, 547, 21613, 2407, 3141, 13964, 563, 268, 2422, 513, 1134, 1673, 20995, 1494, 4433, 264, 476, 279, 547, 476, 1321, 6279, 2620, 543, 2647, 2614, 547, 13918, 9921, 7516, 563, 268, 19130, 519, 1494, 547, 1369, 476, 272, 10759, 540, 519, 26079, 609, 1164, 7779, 267, 7509, 3146, 339, 550, 633, 267, 1418, 1227, 11656, 29238, 3037, 563, 268, 1924, 752, 519, 5452, 16074, 543, 30889, 476, 272, 547, 476, 272, 269, 276, 6279, 2620, 543, 476, 272, 269, 276, 547, 476, 274, 6279, 6306, 563, 268, 19321, 1256, 7509, 1510, 16136, 4405, 908, 519, 3037, 563, 4517, 1934, 779, 835, 3803, 9133, 585, 1967, 912, 305, 582, 622, 519, 1494, 4433, 264, 513, 10116, 2490, 1169, 1906, 2395, 547, 1450, 782, 16714, 547, 581, 6534, 547, 1769, 267, 2061, 519, 11710, 689, 19755, 267, 543, 1683, 3350, 547, 1489, 26853, 563, 290, 738, 643, 1513, 547, 8564, 454, 2691, 10918, 585, 5452, 267, 3343, 856, 16916, 8677, 609, 11741, 7516, 14018, 547, 8708, 12202, 563, 2791, 3580, 1265, 2472, 602, 723, 1044, 5910, 8972, 585, 8476, 2068, 4187, 607, 1134, 607, 1346, 602, 2709, 10156, 31032, 8584, 2071, 2395, 547, 15657, 563, 2080, 616, 1614, 28212, 547, 765, 339, 707, 14031, 912, 302, 13791, 17491, 23093, 4083, 454, 2252, 6777, 17112, 616, 707, 5172, 267, 2638, 856, 623, 269, 2893, 643, 636, 2048, 302, 13791, 17491, 23093, 4083, 19028, 14503, 520, 267, 26546, 10540, 338, 616, 5569, 1652, 543, 2268, 2185, 6279, 1279, 269, 21673, 15657, 538, 476, 2568, 2395, 563, 8072, 302, 13791, 17491, 23093, 4083, 685, 5452, 616, 2139, 689, 15636, 19680, 9314, 338, 563, 303, 269, 2893, 643, 636, 2048, 15031, 1470, 29233, 685, 568, 513, 4006, 26882, 1826, 609, 513, 4463, 540, 476, 1240, 547, 476, 2190, 6279, 563, 10955, 1043, 10540, 338, 2268, 1079, 547, 1614, 6279, 1279, 269, 2060, 1175, 476, 2412, 2395, 547, 15657, 267, 621, 779, 835, 540, 519, 9998, 8677, 547, 3132, 513, 7693, 563, 8072, 15031, 1470, 29233, 685, 5452, 616, 2139, 689, 6936, 23516, 10369, 563, 3080, 540, 519, 1034, 11741, 28212, 568, 623, 269, 2893, 643, 636, 2048, 25402, 774, 3518, 16224, 547, 6137, 856, 693, 5111, 476, 1321, 6279, 7381, 563, 7212, 621, 568, 513, 4677, 3099, 602, 779, 3335, 7387, 539, 1354, 4189, 267, 596, 949, 849, 1265, 519, 10540, 338, 13035, 2614, 547, 2972, 269, 21673, 15657, 538, 476, 2004, 547, 476, 4649, 2395, 563, 16391, 545, 5452, 616, 2139, 689, 6936, 23516, 10369, 563, 2690, 811, 25926, 267, 1294, 938, 3391, 547, 476, 1704, 540, 519, 1655, 7387, 532, 890, 320, 8677, 547, 1332, 538, 707, 4677, 563, 31572, 623, 3949, 543, 8376, 454, 2691, 3395, 17112, 16280, 267, 596, 616, 1447, 2693, 547, 1995, 519, 1739, 11641, 543, 2068, 2152, 267, 3177, 596, 2057, 1312, 896, 268, 543, 936, 22476, 563, 4913, 267, 621, 779, 1655, 547, 581, 3222, 540, 1455, 2152, 267, 2523, 952, 596, 1332, 873, 13964, 950 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 2598, 920, 32735, 1063, 11810, 16097, 910, 1772, 621, 1713, 2496, 10521, 540, 519, 2081, 540, 3257, 11810, 609, 7223, 616, 1875, 268, 20598, 2079, 715, 6347, 543, 5347, 31208, 2572, 2711, 2079, 590, 8656, 269, 715, 6347, 814, 513, 4480, 1572, 1412, 339, 1136, 519, 3044, 851, 262, 799, 10714, 338, 31278, 630, 528, 31208, 2572, 2711, 264, 2474, 693, 519, 1439, 540, 8174, 725, 267, 6466, 590, 8656, 814, 519, 562, 2812, 13645, 4341, 799, 10714, 338, 2362, 1379, 31278, 2474, 1282, 8174, 725, 269, 1280, 1383, 952, 649, 16174, 3230, 344, 815, 1535, 317, 273, 2330, 689, 1101, 3741, 649, 723, 281, 30967, 343, 1341, 554, 8203, 273, 815, 1535, 317, 273, 1341, 554, 343, 3867, 273, 262, 6525, 3230, 343, 317, 273, 1341, 476, 273, 327, 343, 1341, 554, 317, 273, 815, 1535, 317, 273, 1341, 554, 343, 3867, 273, 262, 6525, 3230, 343, 3867, 273, 262, 348, 815, 476, 273, 343, 1341, 554, 2330, 3230, 343, 3867, 273, 262, 348, 815, 476, 273, 343, 2330, 538, 715, 6347, 267, 15029, 538, 590, 8656, 649, 723, 281, 30967, 343, 1341, 554, 8203, 273, 815, 1535, 317, 273, 1341, 554, 343, 3867, 273, 262, 6525, 3230, 343, 317, 273, 1341, 476, 273, 327, 343, 1341, 554, 317, 273, 815, 1535, 317, 273, 1341, 554, 343, 3867, 273, 262, 6525, 3230, 273, 327, 343, 815, 554, 343, 3867, 273, 262, 6525, 3230, 343, 3867, 273, 262, 348, 815, 476, 273, 343, 2330, 898, 781, 15673, 532, 547, 1589, 519, 1079, 2409, 616, 6697, 269, 1717, 267, 2015, 519, 4542, 585, 3813, 656, 3259, 281, 3230, 338, 317, 273, 815, 554, 317, 273, 1341, 630, 1506, 262, 8203, 273, 2330, 3230, 338, 815, 554, 1422, 6912, 346, 272, 1341, 586, 262, 317, 273, 6525, 14171, 519, 3044, 851, 540, 3230, 344, 262, 2330, 1247, 10442, 3230, 338, 2330, 1131, 1267, 538, 519, 1101, 681, 9391, 2165, 1373, 1305, 547, 4642, 267, 17021, 519, 3830, 24631, 267, 6466, 519, 562, 2812, 13645, 4341, 3085, 1405, 723, 713, 1198, 269, 1548, 1281, 713, 2995, 721, 267, 952, 4376, 267, 827, 519, 14496, 543, 5924, 28252, 540, 715, 6347, 543, 590, 8656, 3448, 547, 1142, 1278, 2496, 21982, 519, 3044, 851, 568, 711, 2731, 513, 4480, 585, 10714, 532, 31208, 2572, 2711, 2474, 693, 519, 1439, 540, 513, 8174, 566, 269, 5502, 267, 1875, 268, 20598, 2079, 814, 513, 536, 7431, 535, 728, 3044, 851, 1599, 3230, 560, 281, 1422, 13992, 23334, 11892, 265, 1422, 21375, 1422, 13992, 23334, 6525, 267, 513, 4786, 602, 3651, 338, 606, 630, 2169, 2105, 264, 1483, 1297, 547, 1142, 5409, 3146, 531, 1297, 780, 4415, 713, 538, 2247, 267, 707, 1101, 8174, 566, 267, 1141, 596, 3409, 547, 16174, 519, 2695, 2130, 1599, 1210, 715, 6347, 267, 568, 23380, 269, 769, 1880, 267, 519, 10645, 7862, 30967, 343, 1341, 554, 8203, 273, 815, 1535, 317, 273, 1341, 554, 3287, 317, 273, 264, 262, 2330, 1281, 711, 3180, 693, 782, 282, 1256, 952, 621, 1705, 267, 596, 616, 711, 4847, 1175, 10714, 31208, 2572, 7769, 899, 596, 798, 950, 596, 1780, 689, 30967, 343, 317, 273, 264, 262, 815, 476, 273, 343, 1341, 554, 2330, 547, 30967, 343, 317, 273, 264, 262, 815, 476, 273, 343, 21974, 7183, 540, 713, 1568, 780, 1432, 596, 1058, 2161, 3079, 568, 602, 519, 2695, 2130, 1599, 814, 12045, 3230, 273, 343, 2330, 1317, 3230, 560, 13375, 263, 1422, 2765, 18950, 343, 266, 327, 8203, 273, 910, 1535, 317, 273, 2410, 327, 348, 1422, 2431, 264, 815, 476, 273, 343, 2330, 585, 1142, 1483, 1297, 3230, 343, 1422, 514, 1422, 13992, 23334, 6525, 543, 31208, 2572, 2711, 5409, 9418, 3230, 327, 1422, 514, 1422, 13992, 23334, 11892, 265, 29634, 763, 1482, 3364, 4422, 585, 707, 3791, 8174, 566, 281, 596, 3112, 1175, 1491, 519, 3044, 851, 538, 519, 1647, 540, 606, 7862, 543, 2503, 519, 4611, 3830, 547, 3180, 269, 1306, 606, 11735, 281, 538, 922, 1459, 1106, 267, 602, 3791, 8174, 566, 1281, 711, 3180, 909, 538, 16522, 4854, 27018, 16387, 630, 10712, 26743, 5606, 514, 2572, 2711, 5811, 264, 2901, 910, 621, 5666, 547, 18505, 2590, 3230, 338, 815, 554, 25490, 346, 272, 1341, 630, 344, 262, 8203, 273, 6525, 689, 3230, 338, 317, 273, 815, 476, 271, 29634, 1607, 1058, 2626, 707, 2243, 281, 891, 7440, 1810, 1405, 2995, 721, 4376, 827, 519, 14496, 543, 5924, 28252, 540, 715, 6347, 543, 12676, 294, 3448, 547, 1142, 824, 267, 3274, 1317, 789, 616, 711, 2953, 780, 6546, 1767, 267, 519, 2409, 540, 715, 6347, 543, 12676, 294, 616, 2484, 689, 6697, 281, 715, 6347, 14553, 2882, 8912, 630, 20598, 264, 2079, 267, 1247, 12676, 294, 568, 4481, 513, 1259, 540, 3257, 11186, 11810, 538, 513, 5347, 1283, 657, 910, 799, 608, 11079, 1082, 6310, 13742, 602, 19767, 616, 7255, 609, 267, 855, 7494, 29776, 513, 2603, 540, 11186, 268, 613, 6248, 2035, 610, 26398, 269, 3973, 972, 616, 3631, 540, 12676, 294, 538, 799, 1312, 562, 2812, 13645, 12676, 294, 16654, 543, 1697, 715, 6347, 16654, 31208, 2572, 7769, 30598, 269, 594, 3513, 3247, 1934, 281, 513, 2143, 1413, 693, 891, 1131, 581, 1655, 14018, 607, 606, 2626, 547, 1776, 630, 810, 1123, 264, 2243, 780, 1892, 17616, 267, 952, 707, 1491, 593, 715, 6347, 941, 2953, 1287, 621, 781, 24631, 607, 513, 3391, 547, 11810, 267, 799, 594, 1810, 1405, 3494, 1256, 1498, 593, 3666, 594, 4782, 590, 8656, 630, 528, 12676, 294, 1040, 19627, 267, 519, 3830, 585, 519, 3813, 656, 1269, 338, 259, 568, 3020, 676, 4214, 952, 1269, 344, 262, 259, 568, 519, 13113, 3017, 23479, 543, 849, 585, 1269, 338, 815, 476, 271, 10608, 634, 2243, 568, 910, 568, 621, 3020, 952, 1269, 327, 259, 568, 31208, 2572, 2711, 286, 4270, 12676, 294, 814, 562, 559, 13607, 550, 31208, 2572, 7769, 267, 865, 540, 1576, 1269, 338, 317, 273, 815, 476, 271, 259, 282, 713, 8343, 3085, 1405, 2995, 721, 4376, 827, 1269, 338, 259, 3294, 269, 1107, 1109, 1345, 10277, 12528, 272, 3057, 476, 272, 693, 476, 736, 281, 2537, 454, 1892, 634, 3932, 540, 707, 3791, 4661, 568, 1031, 538, 12676, 294, 950, 3541, 1516, 9095, 3259, 630, 5976, 1269, 344, 262, 259, 3954, 7627, 519, 12045, 540, 519, 1599, 1269, 344, 259, 910, 1018, 3116, 1131, 621, 20301, 286, 14386, 855, 602, 23221, 568, 711, 4570, 269, 1411, 666, 1265, 513, 4570, 8174, 566, 12341, 538, 13852, 781, 589, 10021, 518, 540, 5606, 514, 2572, 2711, 5811, 269, 1306, 585, 715, 6347, 281, 621, 781, 519, 1888, 540, 1250, 12854, 5098, 267, 865, 594, 6415, 9425, 12691, 547, 581, 4636, 827, 621, 267, 2523, 827, 971, 2241, 5013, 269, 7183, 540, 1346, 4834, 3180, 269, 1107, 1109, 313, 269, 589, 269, 918, 269, 3057, 476, 272, 693, 476, 736, 281, 3393, 454, 1892, 898, 781, 593, 2985, 476, 3393, 538, 713, 1106, 281, 1269, 338, 21948, 343, 264, 815, 630, 272, 1341, 535, 21948, 343, 8203, 273, 22722, 272, 270, 273, 4151, 9497, 290, 766, 29818, 1496, 327, 316, 11729, 519, 5432, 3830, 20257, 1924, 519, 2626, 568, 8786, 910, 621, 1281, 4019, 547, 31208, 2572, 7769, 267, 1175, 676, 4657, 1269, 338, 259, 547, 1269, 1091, 259, 543, 12270, 676, 1269, 323, 327, 10608, 4746, 267, 952, 715, 6347, 666, 1405, 1256, 1683, 2241, 3652, 585, 15285, 1287, 621, 781, 24631, 910, 1946, 1131, 596, 12167, 585, 602, 286, 1107, 1109, 1345, 10277, 12528, 272, 3057, 476, 272, 693, 476, 2641, 281, 6021, 0, 4517, 320, 1019, 10300, 16120, 476, 272, 323, 926, 476, 8287, 692, 258, 476, 4968, 737, 301, 692, 1220, 454, 5611, 692, 288, 284, 476, 15389, 4510, 269, 5379, 279, 6515, 273, 454, 284, 692, 2641, 269, 279, 715, 270, 7825, 273, 692, 2004, 6515, 692, 1839, 6515, 692, 1911, 737, 301, 692, 288, 284, 476, 275, 3445, 269, 9262, 275, 6515, 273, 454, 284, 692, 10711, 269, 278, 715, 270, 7825, 273, 692, 288, 284, 476, 3422, 274, 269, 276, 6515, 273, 454, 284, 692, 2004, 269, 280, 715, 270, 7825, 273, 692, 16655, 3065, 13262, 25883, 1220, 715, 270, 7825, 273, 692, 1839, 6515, 692, 1428, 6515, 454, 1321, 454, 7825, 667, 807, 780, 293, 737, 301, 692, 293, 3193, 25883, 293, 3193, 25883, 5611, 6515, 273, 454, 4968, 876, 715, 454, 1789, 737, 301, 454, 9873, 6515, 273, 454, 18605, 876, 715, 454, 2918, 737, 301, 692, 1015, 6515, 692, 272, 570, 773, 454, 299, 284, 692, 288, 23751, 292, 284, 692, 4335, 454, 1220, 692, 7825, 273, 454, 330, 301, 270, 7825, 273, 692, 23751, 23751, 292, 14075, 566, 284, 692, 273, 5899, 583, 454, 299, 284, 692, 272, 269, 276, 692, 288, 23751, 292, 284, 692, 7742, 454, 3583, 692, 7825, 273, 454, 330, 301, 270, 7825, 273, 692, 23751, 23751, 292, 14075, 566, 284, 692, 301, 284, 692, 4037, 692, 330, 301, 692, 307, 3290, 692, 330, 301, 692, 15253, 1833, 692, 5611, 454, 301, 270, 7825, 273, 454, 278, 269, 4335, 292, 268, 6860, 454, 274, 269, 4037, 692, 7825, 692, 301, 284, 692, 268, 1789, 692, 268, 6344, 454, 301, 270, 7825, 273, 454, 268, 272, 269, 10170, 292, 268, 6734, 454, 268, 273, 269, 6872, 692, 7825, 692, 1012, 14419, 519, 20587, 720, 1689, 538, 519, 4320, 540, 519, 13306, 692, 300, 1468, 454, 292, 284, 476, 272, 269, 876, 292, 266, 4962, 454, 22437, 24480, 781, 5223, 21591, 271, 269, 1839, 692, 16524, 563, 268, 279, 269, 876, 292, 268, 6860, 692, 18773, 7043, 563, 268, 279, 269, 876, 292, 268, 4905, 6515, 692, 29590, 25883, 268, 3199, 692, 301, 270, 7825, 273, 692, 1993, 519, 13306, 454, 301, 270, 7825, 273, 692, 23272, 563, 273, 269, 876, 292, 268, 6860, 692, 18773, 4678, 563, 273, 269, 876, 292, 268, 4905, 6515, 692, 1012, 22731, 5292, 269, 1715, 5292, 780, 7825, 274, 454, 7825, 274, 454, 1911, 1822, 1822, 271, 476, 15886, 276, 4200, 278, 866, 269, 280, 6924, 692, 18773, 5292, 563, 271, 269, 6860, 30515, 1911, 271, 6515, 692, 2004, 6515, 692, 291, 3554, 2678, 692, 24280, 23241, 1012, 476, 272, 269, 634, 7299, 3350, 540, 645, 692, 273, 269, 634, 2698, 10137, 454, 274, 7868, 7827, 538, 14694, 3897, 523, 454, 275, 269, 634, 1689, 538, 4320, 540, 519, 692, 1911, 271, 6515, 692, 3374, 6515, 692, 291, 3554, 2678, 692, 13670, 918, 301, 454, 300, 1468, 13082, 454, 292, 23751, 22437, 24480, 781, 5223, 25883, 288, 5174, 454, 289, 4211, 692, 1220, 454, 271, 269, 274, 692, 29590, 7043, 563, 18773, 7043, 563, 301, 270, 7825, 273, 454, 6924, 269, 4037, 275, 280, 476, 271, 269, 1822, 30306, 476, 271, 269, 29340, 6507, 6515, 454, 9610, 269, 22332, 476, 271, 269, 1822, 3583, 273, 476, 271, 269, 3583, 272, 6812, 6515, 454, 13707, 454, 272, 269, 271, 3393, 275, 6515, 692, 13670, 1822, 692, 298, 301, 270, 7825, 273, 454, 23272, 563, 268, 271, 269, 1822, 9818, 272, 454, 268, 271, 269, 1822, 13975, 276, 692, 3200, 673, 3350, 540, 645, 454, 20135, 10137, 454, 27087, 538, 14694, 7516, 540, 9474, 543, 7460, 454, 4219, 538, 4320, 540, 519, 554, 9734, 692, 18773, 4678, 780, 1012, 22731, 5292, 269, 1715, 5292, 780, 7825, 274, 454, 7825, 274, 454, 268, 271, 269, 22650, 14444, 277, 6515, 454, 3422, 4097, 280, 276, 476, 3422, 4391, 277, 276, 454, 268, 271, 269, 23669, 3607, 277, 277, 6515, 454, 280, 7830, 12208, 269, 4037, 476, 280, 7830, 4343, 273, 269, 7906, 454, 29580, 28794, 279, 476, 29580, 277, 1691, 279, 910, 276, 4375, 269, 277, 6515, 274, 692, 2004, 692, 345, 3193, 454, 344, 692, 1911, 3493, 628, 692, 345, 3193, 692, 296, 284, 692, 3422, 273, 715, 692, 2162, 6515, 275, 692, 296, 284, 321, 323, 274, 270, 1321, 454, 3602, 692, 300, 454, 345, 3193, 25883, 3422, 273, 715, 332, 454, 2004, 6515, 692, 10946, 25883, 2537, 269, 7918, 715, 270, 7825, 273, 692, 10468, 23018, 692, 288, 343, 529, 692, 9288, 693, 631, 1749, 3966, 692, 306, 3966, 25883, 9288, 693, 631, 1749, 3966, 692, 306, 3966, 815, 476, 275, 692, 1220, 4846, 692, 4968, 692, 345, 454, 344, 692, 8517, 3493, 628, 692, 345, 3193, 692, 291, 3748, 692, 3519, 4740, 692, 13301, 271, 4846, 8276, 274, 692, 300, 23751, 296, 23751, 345, 3193, 25883, 276, 4792, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18239, 5885, 519, 5571, 26362, 540, 519, 674, 12661, 880, 4884, 540, 2098, 1512, 1731, 345, 2465, 267, 538, 14858, 14657, 269, 901, 6370, 568, 1776, 4277, 1383, 540, 519, 2956, 540, 23603, 543, 2990, 267, 855, 621, 849, 2882, 519, 946, 540, 834, 338, 7428, 531, 1091, 2437, 513, 512, 832, 542, 14617, 6149, 6253, 992, 518, 269, 769, 519, 6679, 11775, 540, 519, 6370, 519, 3943, 267, 6896, 883, 1896, 1016, 25364, 267, 3357, 883, 3444, 11312, 2039, 540, 519, 674, 12661, 880, 543, 3323, 519, 2489, 6278, 269, 9061, 11312, 543, 818, 7815, 3595, 267, 607, 1134, 607, 519, 5614, 1023, 267, 7722, 1247, 519, 3943, 17388, 1996, 519, 7432, 540, 519, 20352, 799, 7142, 873, 6251, 547, 519, 13272, 267, 1141, 789, 3357, 896, 3595, 689, 674, 12661, 880, 2244, 4229, 267, 607, 1134, 607, 2244, 2861, 25044, 9112, 585, 519, 26362, 563, 2304, 577, 1681, 585, 519, 3781, 267, 519, 5916, 18239, 729, 16091, 676, 513, 3595, 6928, 267, 855, 519, 20352, 5828, 267, 519, 6278, 759, 25390, 267, 543, 607, 513, 1267, 540, 519, 674, 12661, 880, 18239, 1373, 2759, 10690, 689, 741, 12979, 1681, 630, 335, 1601, 4601, 513, 1267, 540, 26453, 582, 720, 1070, 519, 3943, 941, 2111, 547, 7001, 1896, 540, 741, 9635, 543, 6707, 24850, 519, 26362, 563, 26139, 519, 29916, 540, 519, 2842, 543, 4365, 729, 14063, 267, 855, 649, 849, 3893, 513, 2446, 540, 519, 5614, 531, 267, 610, 5614, 12245, 269, 11354, 1023, 849, 1397, 909, 693, 590, 1663, 903, 267, 538, 476, 16328, 271, 267, 538, 946, 593, 1312, 5011, 563, 9209, 20455, 729, 5693, 513, 851, 540, 17189, 3937, 267, 855, 7429, 519, 2663, 946, 540, 28994, 976, 593, 9635, 540, 519, 1899, 267, 512, 832, 542, 14617, 9817, 899, 5614, 1023, 941, 711, 3532, 2614, 547, 1599, 607, 6928, 10275, 650, 619, 267, 543, 941, 2693, 3079, 1031, 547, 3077, 1212, 9749, 267, 27756, 10136, 267, 610, 547, 12235, 3114, 610, 3595, 9604, 269, 11831, 626, 2801, 941, 849, 538, 946, 267, 1312, 538, 1804, 1106, 543, 538, 4130, 2220, 633, 331, 3613, 5138, 267, 799, 17991, 5394, 29170, 14843, 1572, 834, 13219, 257, 610, 834, 332, 823, 257, 2687, 547, 11977, 853, 656, 517, 781, 19744, 31845, 2782, 11071, 269, 634, 3908, 28252, 540, 6149, 12235, 619, 543, 519, 11389, 2993, 1464, 540, 986, 916, 5921, 602, 6928, 1673, 652, 549, 3539, 16941, 5097, 593, 3595, 267, 2901, 607, 834, 31528, 3595, 257, 3595, 910, 799, 729, 513, 7463, 1587, 15841, 593, 513, 7463, 6928, 910, 610, 998, 519, 946, 540, 3595, 17428, 610, 3595, 9635, 269, 1809, 3595, 729, 849, 16602, 267, 1317, 607, 649, 4312, 2907, 2938, 267, 4657, 12798, 543, 29500, 1223, 3362, 2490, 835, 8781, 18239, 883, 1079, 563, 763, 946, 540, 512, 832, 542, 14617, 25044, 538, 519, 2038, 543, 4571, 476, 1691, 628, 2540, 6299, 5523, 909, 1996, 519, 1101, 3096, 540, 666, 12061, 593, 4604, 9635, 269, 25906, 531, 1091, 610, 25906, 531, 10972, 267, 513, 3126, 540, 1507, 28994, 976, 15841, 1927, 593, 513, 6928, 267, 616, 13006, 547, 607, 2038, 607, 476, 16328, 274, 269, 634, 2296, 6928, 2353, 8065, 3298, 595, 690, 15841, 513, 1507, 7784, 540, 930, 967, 9057, 3729, 2186, 538, 476, 15836, 278, 269, 901, 568, 711, 547, 2099, 519, 7784, 607, 930, 4990, 540, 12316, 14049, 5612, 267, 789, 941, 1869, 1507, 543, 24835, 762, 540, 21006, 9635, 267, 543, 14201, 1405, 4922, 1031, 2394, 827, 519, 4571, 476, 1428, 628, 2540, 267, 7258, 519, 824, 2010, 540, 512, 832, 542, 268, 1263, 1149, 2907, 4330, 563, 3383, 547, 5180, 713, 782, 856, 267, 1247, 621, 781, 711, 8209, 513, 7290, 5566, 585, 667, 22936, 547, 1331, 6149, 6253, 8089, 6191, 593, 9635, 538, 922, 29660, 2173, 539, 8148, 911, 25940, 267, 741, 946, 538, 4641, 729, 851, 540, 513, 3677, 2796, 540, 17189, 4640, 543, 17825, 269, 10395, 520, 729, 1869, 5097, 1688, 3562, 11804, 267, 609, 4604, 619, 543, 21679, 269, 570, 832, 542, 9817, 941, 5693, 538, 946, 267, 543, 1256, 2244, 2861, 512, 832, 542, 25044, 3006, 3576, 851, 538, 17189, 4497, 906, 950, 4960, 6488, 539, 269, 634, 10626, 540, 891, 9604, 729, 547, 1489, 519, 27756, 3527, 267, 2901, 676, 21757, 1232, 802, 676, 20590, 546, 11301, 267, 31211, 267, 10007, 267, 17428, 540, 18654, 610, 824, 3114, 8886, 1218, 267, 610, 547, 9292, 331, 12334, 17428, 543, 3595, 321, 558, 2125, 269, 901, 946, 729, 849, 11658, 676, 519, 3908, 1797, 540, 18239, 20671, 543, 3919, 267, 855, 621, 4667, 2693, 602, 1082, 3483, 32472, 2112, 6191, 1131, 723, 15841, 3440, 626, 2801, 267, 5614, 1023, 267, 610, 930, 824, 1826, 540, 6149, 6253, 992, 518, 563, 28846, 667, 269, 853, 656, 517, 267, 19744, 31845, 2782, 11071, 454, 11990, 670, 3430, 754, 21807, 543, 5261, 772, 978, 518, 267, 2782, 693, 7256, 769, 519, 5664, 12698, 543, 11193, 454, 306, 639, 534, 14986, 267, 19744, 25220, 2782, 11071, 454, 30875, 2052, 12061, 267, 634, 11135, 540, 9995, 16049, 543, 661, 755, 864, 519, 3933, 330, 454, 301, 580, 601, 21563, 656, 267, 634, 3778, 540, 5261, 15794, 531, 454, 306, 728, 2243, 267, 568, 22153, 16226, 3957, 1310, 5261, 15794, 531, 888, 7212, 711, 3735, 10120, 630, 6518, 568, 2356, 1018, 891, 14810, 2984, 3490, 741, 2489, 1620, 540, 519, 10120, 1158, 593, 264, 538, 519, 3296, 593, 519, 30609, 819, 4433, 264, 547, 11511, 974, 538, 519, 1546, 24583, 3000, 328, 529, 540, 519, 4936, 9497, 3528, 345, 14932, 8442, 14890, 4790, 14932, 23446, 267, 646, 12799, 3877, 519, 30015, 540, 9635, 609, 25044, 543, 1166, 600, 996, 992, 619, 912, 2690, 17501, 856, 476, 275, 20086, 14617, 6149, 6253, 992, 619, 267, 476, 275, 25754, 1922, 1090, 539, 6149, 6253, 992, 619, 267, 476, 275, 6191, 912, 1789, 14034, 267, 476, 1428, 804, 10102, 267, 476, 1789, 695, 871, 956, 267, 849, 585, 519, 1804, 6367, 1532, 718, 626, 2801, 267, 986, 916, 585, 519, 12475, 334, 2478, 267, 476, 1428, 31211, 267, 476, 736, 1804, 12035, 267, 543, 476, 1789, 4130, 12035, 267, 543, 585, 519, 1804, 6367, 1532, 718, 626, 2801, 519, 11311, 2179, 540, 4401, 269, 476, 1015, 267, 1822, 1396, 571, 328, 540, 12334, 267, 476, 4968, 5180, 8486, 7129, 540, 5277, 13545, 267, 476, 2412, 8486, 7129, 540, 524, 25729, 18300, 267, 476, 8517, 271, 1396, 571, 328, 540, 32028, 267, 476, 1220, 271, 1396, 571, 328, 540, 23741, 267, 476, 736, 1236, 14554, 267, 476, 1321, 4401, 1793, 902, 267, 476, 2004, 3063, 19671, 15791, 267, 476, 2004, 12979, 832, 267, 476, 1911, 561, 785, 523, 15791, 267, 476, 1911, 1178, 335, 6773, 15791, 267, 476, 1911, 838, 691, 636, 15791, 267, 476, 1220, 17426, 15791, 267, 476, 1911, 2185, 6122, 13949, 1989, 919, 267, 476, 2004, 1396, 571, 328, 540, 32028, 585, 519, 29008, 525, 267, 476, 6110, 4779, 1681, 15791, 267, 476, 2190, 521, 13023, 976, 585, 519, 476, 279, 30732, 2643, 16211, 267, 476, 3199, 521, 13023, 976, 585, 519, 476, 2412, 522, 639, 25474, 737, 515, 1633, 807, 267, 476, 7785, 271, 632, 9535, 18969, 563, 1607, 568, 711, 519, 1152, 2707, 267, 607, 14890, 24955, 17886, 781, 28635, 339, 833, 9139, 476, 866, 849, 3947, 3877, 912, 277, 269, 1635, 782, 1797, 267, 621, 1058, 723, 513, 521, 13023, 517, 267, 3808, 538, 19730, 267, 543, 5116, 909, 4395, 593, 519, 21786, 267, 607, 568, 22232, 267, 865, 602, 621, 666, 1788, 519, 5423, 3595, 1996, 519, 10546, 269, 26361, 713, 1880, 521, 13023, 517, 972, 1058, 581, 513, 4990, 540, 3760, 1500, 540, 1544, 802, 543, 3774, 539, 1472, 676, 1544, 802, 269, 13749, 8396, 10136, 972, 547, 20758, 1055, 6285, 4947, 689, 519, 21786, 540, 519, 10546, 9635, 610, 547, 9496, 8726, 9604, 789, 949, 3442, 1996, 519, 2898, 10546, 6928, 563, 278, 269, 2201, 519, 4102, 546, 668, 976, 16245, 519, 865, 10777, 1535, 2643, 758, 770, 571, 630, 1150, 4751, 956, 264, 609, 741, 3774, 540, 1544, 802, 12341, 1472, 519, 1647, 540, 519, 15958, 269, 3245, 891, 642, 656, 720, 2798, 938, 2367, 786, 9496, 1984, 18429, 610, 5230, 4773, 540, 4401, 971, 607, 1346, 8032, 899, 838, 987, 807, 630, 1873, 3581, 1040, 1452, 786, 2901, 2736, 909, 519, 10546, 6928, 610, 267, 13941, 609, 1390, 3196, 267, 24807, 1346, 593, 7247, 789, 2887, 269, 634, 2367, 949, 849, 9292, 331, 824, 1919, 5827, 540, 4259, 519, 10546, 9635, 593, 3595, 610, 540, 11318, 519, 10136, 593, 4604, 563, 6795, 269, 634, 606, 857, 757, 267, 607, 1134, 607, 811, 2487, 8128, 267, 25282, 1082, 9604, 585, 946, 1996, 10546, 9635, 543, 1996, 519, 8165, 2367, 538, 873, 267, 971, 607, 5423, 3595, 609, 19711, 543, 535, 30711, 8673, 26809, 998, 519, 521, 13023, 976, 267, 3109, 2287, 873, 609, 8673, 563, 2568, 269, 2107, 5233, 18240, 626, 571, 328, 5116, 538, 1312, 519, 21786, 543, 519, 29523, 543, 593, 519, 1079, 5011, 540, 519, 546, 668, 517, 267, 17579, 532, 1507, 21985, 602, 616, 1572, 18665, 5362, 9497, 13219, 20257, 12846, 267, 1866, 22885, 540, 2831, 9505, 909, 538, 17428, 547, 581, 9292, 1194, 1996, 519, 10546, 9635, 269, 7324, 891, 1131, 581, 15315, 267, 642, 760, 619, 267, 28499, 267, 1085, 23705, 687, 267, 543, 824, 971, 9006, 10535, 7068, 269, 1879, 519, 17428, 616, 695, 13593, 267, 519, 2831, 11116, 543, 676, 741, 8914, 26763, 856, 519, 10546, 593, 4604, 519, 9635, 563, 8618, 269, 1656, 824, 17428, 4904, 609, 5667, 331, 8898, 18654, 269, 1879, 891, 616, 9292, 1194, 543, 695, 13593, 267, 519, 11517, 689, 519, 607, 4034, 657, 669, 10280, 543, 9420, 338, 519, 10546, 543, 18327, 547, 581, 513, 5458, 20714, 766, 563, 7830, 269, 11635, 959, 643, 565, 16211, 630, 322, 5306, 28979, 264, 9292, 1194, 5196, 519, 10546, 9635, 786, 2014, 873, 1100, 2370, 20714, 766, 543, 786, 1832, 873, 689, 6867, 3814, 569, 2502, 538, 519, 6370, 693, 1688, 563, 8287, 269, 855, 649, 4971, 602, 519, 17428, 2407, 540, 519, 5423, 3595, 267, 2687, 547, 519, 11311, 1505, 540, 741, 7041, 267, 1058, 581, 9292, 1194, 593, 695, 30568, 789, 4927, 3362, 6633, 909, 519, 9635, 540, 519, 10546, 563, 5038, 269, 5269, 946, 849, 540, 519, 824, 1505, 267, 602, 568, 267, 540, 519, 1507, 521, 13023, 976, 15810, 676, 1688, 689, 3297, 519, 4401, 1236, 719, 7559, 630, 3333, 3658, 264, 4371, 676, 519, 7980, 269, 1452, 616, 1572, 737, 515, 328, 4592, 13023, 821, 543, 723, 1044, 29959, 5063, 676, 938, 14734, 17965, 269, 1452, 1932, 786, 12235, 519, 5423, 3595, 883, 519, 3068, 540, 519, 10546, 563, 4792, 269, 4746, 3677, 4401, 1608, 339, 28979, 610, 8325, 18969, 554, 2459, 1229, 883, 11308, 21384, 267, 1287, 20386, 538, 23741, 610, 930, 824, 6219, 267, 1305, 593, 3595, 267, 543, 16207, 1996, 519, 10546, 269, 12096, 532, 538, 1585, 4025, 267, 789, 786, 1305, 519, 9635, 513, 4148, 877, 563, 6858, 269, 898, 568, 2009, 547, 946, 519, 865, 10777, 1835, 6951, 610, 2147, 18325, 11057, 733, 337, 643, 1734, 602, 31721, 538, 513, 5858, 269, 1879, 519, 10546, 9635, 616, 3808, 547, 707, 546, 668, 976, 267, 2490, 519, 3684, 1472, 1996, 873, 543, 13248, 593, 873, 2901, 8781, 5277, 12334, 610, 513, 2121, 610, 930, 824, 1570, 563, 2467, 941, 1614, 5686, 540, 3684, 25044, 1031, 676, 519, 14564, 1996, 10546, 9635, 281, 519, 5233, 984, 565, 626, 571, 9497, 11312, 1532, 718, 16695, 2580, 1869, 519, 5929, 512, 832, 542, 14617, 2599, 2938, 538, 519, 8106, 543, 3735, 25447, 4936, 10504, 1070, 519, 22200, 1731, 517, 610, 620, 752, 566, 270, 601, 752, 566, 9497, 332, 22389, 257, 610, 834, 516, 14179, 591, 257, 513, 6390, 513, 812, 12455, 601, 513, 6390, 513, 20086, 1726, 321, 1075, 2867, 1040, 1452, 941, 5594, 811, 1950, 982, 519, 6093, 6191, 649, 1294, 538, 1148, 610, 10411, 15297, 267, 607, 789, 1185, 5102, 18436, 607, 5018, 538, 519, 1546, 24583, 3000, 328, 529, 269, 1452, 941, 1018, 941, 1031, 547, 9292, 331, 519, 27069, 10007, 267, 3595, 575, 1066, 3547, 267, 543, 824, 811, 16678, 993, 32099, 267, 7258, 609, 1346, 9292, 1194, 676, 1688, 269, 7053, 972, 941, 519, 1835, 6951, 267, 799, 1185, 519, 1482, 2489, 1106, 543, 1599, 607, 519, 620, 752 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1325, 26891, 7621, 728, 27822, 454, 3725, 12860, 1325, 26891, 1315, 1215, 1772, 898, 667, 821, 888, 1607, 5650, 568, 9738, 3079, 540, 2870, 1007, 11956, 998, 519, 14793, 3974, 540, 11956, 12547, 267, 513, 5650, 799, 2882, 5599, 689, 536, 32706, 7626, 607, 1134, 607, 3725, 12860, 1325, 26891, 1315, 1215, 1772, 898, 667, 821, 286, 901, 2259, 568, 513, 1455, 2259, 602, 814, 1044, 2469, 593, 2094, 2038, 851, 540, 519, 2063, 2540, 563, 1692, 1281, 11956, 9657, 948, 2199, 2950, 888, 1692, 1281, 17528, 547, 22120, 11956, 2800, 519, 1604, 286, 2704, 26891, 1159, 601, 1154, 849, 7472, 16247, 12547, 543, 9436, 12547, 267, 1079, 6757, 9362, 602, 616, 1883, 2609, 538, 1159, 690, 543, 3679, 4764, 563, 1692, 547, 1234, 12860, 1325, 26891, 281, 476, 277, 17778, 630, 5976, 24436, 264, 910, 15825, 454, 1692, 547, 1234, 12860, 1325, 26891, 269, 5565, 10613, 281, 3725, 19464, 693, 5851, 3725, 19464, 538, 2659, 7991, 269, 2704, 26891, 568, 849, 513, 3810, 6691, 762, 1587, 602, 666, 581, 1031, 1586, 543, 1586, 269, 2480, 2651, 1524, 547, 5153, 476, 272, 547, 1265, 856, 875, 596, 666, 22120, 707, 11956, 2472, 563, 2704, 6058, 1756, 546, 1484, 9657, 910, 9504, 267, 519, 1863, 22605, 454, 2704, 6058, 1756, 546, 1484, 267, 513, 676, 28237, 540, 519, 26459, 1159, 601, 1154, 1184, 267, 666, 581, 2964, 1227, 13381, 547, 5094, 519, 15895, 26459, 4496, 689, 519, 26459, 12547, 269, 634, 7344, 1184, 540, 9657, 1281, 711, 946, 1022, 6757, 6464, 5892, 1031, 538, 519, 1184, 540, 25935, 519, 3407, 2483, 2704, 26891, 7621, 728, 11905, 22159, 543, 27822, 454, 763, 17609, 585, 11956, 12547, 568, 11727, 676, 519, 2165, 834, 325, 756, 9317, 3029, 1701, 901, 1797, 602, 1152, 9424, 540, 519, 32248, 1106, 540, 11956, 12547, 602, 616, 13381, 543, 5701, 593, 21935, 616, 4080, 269, 7883, 547, 1325, 26891, 7621, 728, 30334, 563, 19119, 540, 27822, 1325, 26891, 1923, 1215, 568, 1325, 26891, 27822, 5484, 1030, 2772, 454, 2704, 26891, 9657, 568, 711, 513, 5063, 11827, 1184, 267, 543, 568, 513, 2259, 602, 814, 1044, 4553, 689, 519, 2038, 476, 5002, 271, 338, 269, 13870, 540, 1007, 11956, 3322, 14793, 3974, 540, 11956, 12547, 602, 568, 5833, 689, 24776, 536, 32706, 7626, 32289, 547, 5269, 606, 1325, 26891, 4586, 1692, 547, 5136, 1555, 1325, 26891, 1923, 552, 1692, 454, 1692, 547, 5136, 1555, 1325, 26891, 269, 1325, 26891, 568, 1455, 538, 519, 3047, 781, 12933, 855, 4686, 538, 922, 1863, 1106, 269, 1325, 26891, 568, 2352, 547, 1349, 1317, 922, 3119, 7626, 267, 11956, 12547, 3725, 12860, 11956, 269, 901, 1505, 814, 1831, 5051, 1455, 2094, 519, 5478, 540, 2571, 4235, 23691, 3459, 538, 519, 476, 3422, 271, 338, 563, 2704, 26891, 3911, 601, 1154, 910, 1215, 1805, 4428, 17582, 1923, 1215, 1325, 26891, 3718, 454, 8794, 543, 27822, 1325, 26891, 11053, 574, 24023, 270, 7476, 1399, 16103, 9453, 1159, 601, 1154, 267, 713, 20599, 1522, 711, 581, 2111, 547, 2972, 1010, 666, 540, 14420, 269, 3690, 14127, 620, 29837, 4534, 11956, 12547, 4534, 883, 11956, 6719, 513, 2101, 24182, 538, 519, 4853, 4838, 563, 2704, 6058, 1756, 546, 1484, 9657, 910, 5682, 26264, 454, 2704, 6058, 1756, 667, 1484, 267, 513, 676, 28237, 540, 519, 26459, 1159, 601, 1154, 1184, 267, 666, 581, 2964, 1227, 13381, 547, 5094, 519, 15895, 1325, 4496, 689, 519, 26459, 12547, 269, 27822, 538, 630, 24433, 267, 5177, 267, 8478, 267, 4516, 267, 8581, 267, 3567, 267, 13814, 267, 7043, 6816, 1040, 4826, 2200, 630, 19770, 264, 3040, 563, 15761, 3555, 540, 26459, 11956, 9657, 9770, 676, 14793, 3974, 6151, 2483, 3963, 798, 649, 991, 547, 946, 14793, 3974, 547, 3489, 1978, 8407, 689, 741, 22714, 286, 552, 3052, 269, 875, 798, 649, 1349, 26459, 689, 922, 536, 32706, 7626, 5627, 26459, 12547, 286, 27237, 292, 593, 23414, 312, 12710, 5058, 1325, 6058, 1756, 269, 6168, 476, 4375, 260, 540, 519, 26459, 538, 23240, 267, 1286, 3334, 3092, 269, 568, 13381, 26459, 563, 2704, 26891, 27822, 910, 1977, 11906, 5980, 454, 763, 11956, 568, 1287, 3812, 689, 519, 11956, 12547, 998, 513, 4480, 1572, 11956, 1159, 601, 1154, 269, 898, 568, 1759, 593, 513, 1184, 1634, 607, 14793, 3974, 267, 538, 1103, 3127, 267, 621, 568, 513, 1797, 540, 17612, 585, 5215, 540, 1004, 269, 6258, 875, 9657, 11956, 568, 4657, 2729, 543, 4543, 519, 1604, 563, 1692, 1772, 1325, 6058, 1756, 17214, 454, 1103, 519, 1101, 851, 540, 519, 1184, 519, 536, 32706, 568, 15568, 547, 3489, 11956, 12547, 543, 538, 519, 1985, 1184, 519, 11956, 12547, 568, 1159, 601, 1540, 547, 1205, 6986, 11956, 269, 2704, 26891, 2052, 27822, 12313, 269, 2052, 595, 2355, 1325, 6058, 1756, 2142, 1234, 7094, 539, 7790, 1215, 1772, 1325, 6058, 1756, 17214, 15017, 295, 691, 5471, 531, 2480, 1905, 6953, 691, 5471, 531, 9657, 6953, 5861, 269, 10060, 1188, 454, 2704, 26891, 7621, 728, 269, 5978, 7471, 9657, 3157, 666, 11177, 562, 328, 984, 1756, 543, 562, 328, 984, 1756, 12547, 2504, 3653, 547, 1164, 1790, 12053, 8407, 543, 27911, 32289, 2653, 568, 621, 547, 6330, 713, 2985, 286, 7490, 4283, 519, 1739, 3009, 563, 1692, 26459, 568, 1500, 910, 715, 832, 330, 31527, 1923, 27822, 454, 3725, 19464, 269, 1215, 621, 779, 1500, 269, 16743, 538, 26459, 269, 16248, 1114, 6151, 2326, 616, 2877, 547, 1118, 26459, 267, 26459, 12547, 267, 5201, 543, 3327, 269, 24542, 568, 2196, 1063, 513, 2942, 30932, 543, 513, 2318, 606, 1712, 267, 1312, 1500, 540, 3327, 563, 1862, 338, 16577, 540, 606, 11956, 11381, 21810, 689, 11956, 547, 11956, 12547, 2483, 20245, 3609, 1234, 7094, 539, 1325, 26891, 5696, 19813, 1325, 26891, 2717, 1639, 1325, 26891, 1234, 7094, 539, 27946, 1234, 13094, 654, 13048, 1234, 13094, 8381, 269, 7617, 7140, 1325, 26891, 547, 1325, 26891, 12547, 269, 10435, 621, 5176, 607, 2182, 607, 19987, 269, 2353, 1360, 2930, 269, 1809, 875, 1281, 621, 1745, 888, 2704, 26891, 910, 1323, 12708, 19045, 454, 1103, 476, 6977, 275, 649, 4121, 875, 547, 3132, 11956, 20749, 269, 2004, 260, 540, 519, 11956, 23691, 538, 519, 2475, 2221, 616, 2472, 540, 9657, 269, 1547, 1325, 26891, 910, 538, 922, 17285, 1106, 910, 1281, 711, 2291, 6923, 269, 898, 568, 1336, 1152, 538, 4999, 609, 824, 6886, 538, 519, 1106, 540, 3623, 6510, 543, 12547, 7135, 799, 1118, 909, 2483, 2704, 1723, 320, 681, 11520, 281, 6168, 1325, 1723, 320, 15519, 573, 13268, 1645, 281, 1215, 11956, 23691, 616, 1500, 454, 763, 17975, 1184, 7472, 513, 5386, 267, 3043, 8869, 1572, 620, 29837, 610, 11956, 12547, 7868, 666, 568, 19323, 538, 606, 14089, 1586, 547, 13021, 519, 15098, 5196, 519, 666, 269, 1234, 12860, 707, 11956, 23691, 256, 27822, 17990, 2724, 543, 621, 781, 1390, 585, 519, 1604, 563, 1692, 568, 11956, 12547, 1500, 454, 1692, 568, 11956, 12547, 1500, 286, 769, 281, 11061, 267, 5303, 267, 15689, 543, 3281, 2432, 1496, 31171, 6688, 4940, 2704, 6058, 1756, 568, 1869, 1360, 7199, 547, 1349, 267, 799, 568, 1946, 621, 568, 1271, 547, 22120, 11956, 23691, 3092, 267, 547, 4688, 593, 519, 5458, 2179, 540, 1648, 2877, 547, 1349, 811, 563, 1692, 11956, 568, 1500, 910, 1570, 267, 5478, 267, 1818, 267, 1031, 267, 4393, 2483, 303, 675, 267, 17285, 11956, 666, 581, 17215, 3812, 1152, 689, 11956, 12547, 7626, 269, 5450, 28351, 11956, 814, 1082, 3601, 602, 1118, 621, 3730, 538, 513, 2647, 2039, 540, 3156, 269, 13010, 267, 11956, 666, 3362, 543, 17215, 581, 13381, 883, 1007, 2472, 563, 531, 26891, 4393, 267, 15502, 269, 810, 21287, 281, 11956, 4393, 2055, 454, 3725, 7094, 539, 1325, 26891, 595, 753, 286, 875, 1082, 2081, 666, 596, 28891, 11956, 286, 1432, 568, 1325, 26891, 7621, 728, 29950, 1025, 8463, 286, 1215, 568, 519, 11098, 538, 519, 23240, 16913, 1282, 519, 5478, 1184, 540, 11956, 23240, 888, 20373, 540, 620, 29837, 630, 531, 26891, 12547, 994, 2704, 26891, 27822, 269, 20885, 18614, 269, 7025, 8605, 13207, 25730, 269, 2704, 29837, 568, 519, 1455, 2012, 2016, 547, 11956, 12547, 630, 2704, 273, 302, 274, 1040, 1325, 29837, 568, 3812, 689, 536, 32706, 267, 606, 7626, 602, 568, 24776, 689, 1283, 31542, 538, 1585, 9341, 543, 763, 7345, 518, 1184, 281, 1215, 620, 29837, 568, 3812, 689, 536, 32706, 563, 1862, 7246, 2793, 294, 30121, 281, 11773, 9452, 281, 27822, 1975, 550, 1325, 26891, 7621, 728, 454, 3725, 19464, 1031, 11956, 12547, 676, 8380, 621, 1394, 883, 519, 19460, 602, 621, 8385, 3357, 689, 543, 1210, 621, 547, 1118, 1007, 535, 4310, 11956, 12547, 568, 513, 6806, 2000, 17274, 29910, 24759, 16111, 10607, 875, 621, 21314, 519, 2326, 543, 3082, 338, 519, 6151, 1570, 3575, 547, 9290, 519, 19460, 1184, 563, 531, 6058, 1756, 630, 4785, 281, 11956, 264, 1923, 19725, 540, 6986, 26459, 12547, 454, 3519, 11437, 540, 519, 26459, 12547, 883, 26459, 676, 14793, 3974, 269, 634, 26459, 12547, 568, 14793, 338, 539, 538, 3070, 538, 25183, 3956, 565, 924, 267, 10878, 274, 2704, 293, 277, 269, 3725, 19464, 26459, 3096, 1152, 827, 476, 276, 260, 540, 519, 1648, 1031, 547, 1349, 621, 689, 536, 32706, 563, 6124, 11956, 11656, 18585, 7472, 7250, 593, 24683, 663, 585, 1804, 8397, 3096, 454, 10454, 11956, 12547, 568, 13381, 1394, 883, 11956, 1210, 519, 4867, 9053, 4853, 1184, 1572, 519, 8065, 6953, 2946, 709, 2741, 1184, 267, 799, 7472, 835, 21017, 607, 1454, 3327, 8166, 607, 12318, 532, 18439, 2417, 281, 5843, 2675, 4878, 8761, 875, 11046, 30041, 3268, 15641, 324, 16617, 540, 4496, 7252, 563, 396, 353, 6459, 19628, 4736, 9924, 15800, 476, 16417, 30530, 7549, 20434, 4709, 15671, 25602, 6459, 19628, 9261, 4138, 17221, 9326, 32455, 2843, 504, 16648, 454, 396, 353, 6459, 19628, 4736, 9924, 15800, 476, 16417, 30530, 7549, 20434, 4709, 15671, 25602, 6459, 19628, 9261, 4138, 17221, 9326, 269, 2843, 508, 9686, 20265, 15800, 13194, 16068, 4736, 4709, 13833, 21162, 17153, 20413, 4138, 4814, 13833, 9924, 17153, 476, 4344, 12811, 9686, 12811, 30530, 13953, 11714, 476, 13077, 13194, 8563, 4138, 28821, 4138, 25602, 6459, 19628, 9261, 4138, 17221, 3264, 8563, 26281, 15800, 4709, 9686, 7846, 13150, 23485, 4138, 1107, 476, 13077, 4736, 20732, 4138, 4814, 23845, 3264, 15800, 13194, 28314, 19757, 3522, 11714, 28314, 19757, 16068, 16648, 397, 488, 27671, 13833, 29824, 3378, 4138, 13194, 8563, 19757, 13150, 27593, 476, 16417, 30530, 7549, 20434, 4814, 13833, 31606, 4709, 22147, 3378, 25602, 6459, 19628, 9261, 4138, 17221, 9326, 1862, 4178, 4732, 783, 2389, 31198, 2593, 270, 1862, 270, 396, 350, 396, 352, 396, 494, 396, 505, 268, 396, 351, 3264, 17153, 4709, 21134, 3264, 1862, 6459, 19628, 9261, 4138, 17221, 9326, 263, 272, 1040, 25269, 20265, 11012, 3522, 13953, 16021, 454, 2704, 26891, 910, 4367, 267, 3601, 267, 5478, 267, 543, 3096, 454, 8005, 4362, 11956, 267, 875, 267, 543, 950, 286, 3371, 781, 519, 1650, 607, 621, 5949, 1862, 15900, 476, 5002, 271, 338, 281, 3689, 11956, 9657, 3292, 269, 476, 4489, 274, 281, 1325, 26891, 23240, 1101, 3812, 10422, 675, 11956, 23465, 6385, 609, 2011, 547, 1106, 513, 15309, 16513, 8825, 4494, 540, 11956, 12547, 563, 2704, 6058, 1756, 27822, 538, 2342, 274, 269, 1789, 2843, 506, 16648, 454, 763, 26459, 12547, 568, 1287, 1031, 538, 513, 3099, 540, 3156, 267, 971, 607, 519, 2504, 540, 9160, 7868, 9657, 2773, 540, 519, 26459, 2872, 568, 5462, 1101, 540, 782, 676, 875, 1454, 26459, 4496, 568, 4503, 1369, 519, 2872, 269, 4178, 269, 531, 826, 2202, 4318, 340, 270, 1862, 270, 2704, 6058, 1756, 29627, 1862, 549, 701, 268, 1220, 278, 15005, 20265, 11012, 3522, 13953, 16021, 454, 303, 584, 16746, 6713, 9198, 919, 25756, 689, 1325, 26891, 2353, 1195, 454, 1103, 1931, 585, 519, 2029, 547, 581, 17215, 8013, 609, 17405, 267, 2705, 267, 519, 1942, 540, 9657, 11956, 12547, 1590, 581, 4389, 267, 646, 1767, 1701, 7197, 1004, 1810, 1405, 8275, 875, 1648, 14021, 11956, 568, 2437, 8381, 718, 1767, 563, 27839, 1154, 9208, 1242, 1325, 26891, 2480, 1905, 281, 589, 7136, 18696, 7844, 585, 2342, 272, 269, 5952, 2843, 506, 16648, 454, 763, 6662, 729, 547, 2333, 519, 11413, 540, 519, 1950, 9657, 1062, 543, 547, 3313, 875, 4199, 15926, 969, 894, 519, 2872, 568, 950, 13621, 11956, 16150, 15301, 265, 2704, 26891, 12547, 4646, 1282, 519, 1184, 4700, 1840, 267, 799, 814, 513, 4496, 1543, 540, 476, 4817, 9077, 568, 4294, 18622, 19464, 9884, 5454, 17038, 6058, 1756, 3820, 270, 1862, 270, 531 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9562, 610, 5539, 585, 971, 3688, 267, 543, 596, 1058, 3343, 3656, 9844, 585, 1022, 946, 540, 971, 2326, 689, 922, 8227, 563, 15648, 9736, 476, 1708, 272, 595, 9573, 275, 26264, 269, 2353, 7126, 27616, 269, 0, 274, 7160, 540, 11242, 543, 15766, 725, 538, 13188, 1336, 538, 519, 17048, 563, 8002, 8481, 543, 15766, 725, 538, 13188, 454, 2421, 570, 30802, 7732, 454, 24309, 538, 2296, 454, 21511, 8447, 8629, 2008, 1607, 1433, 2488, 513, 3102, 4367, 547, 2951, 6725, 267, 9235, 9297, 543, 519, 29617, 1587, 269, 2311, 519, 1482, 942, 267, 621, 2488, 606, 7650, 593, 519, 2797, 267, 8739, 20300, 267, 2825, 543, 6639, 5222, 540, 9235, 543, 922, 1644, 8313, 6227, 1312, 3069, 543, 2259, 538, 606, 2502, 2511, 267, 602, 786, 8141, 519, 3988, 685, 7279, 269, 4147, 476, 280, 281, 4317, 16631, 281, 13188, 269, 13188, 281, 1543, 563, 292, 21643, 630, 270, 476, 389, 505, 737, 476, 16745, 476, 16659, 562, 476, 389, 496, 544, 476, 22688, 737, 521, 267, 1775, 27474, 737, 476, 16745, 268, 270, 264, 568, 519, 1514, 2257, 602, 2090, 519, 2504, 267, 3892, 267, 543, 4616, 540, 5370, 543, 2533, 907, 13188, 6212, 593, 519, 7180, 543, 4205, 540, 2804, 8069, 543, 875, 11615, 960, 269, 5843, 31754, 23607, 2596, 2609, 538, 519, 4346, 267, 1519, 1367, 8069, 543, 6990, 267, 741, 4205, 267, 543, 519, 4093, 540, 4205, 269, 769, 24751, 267, 15766, 725, 267, 543, 8056, 619, 542, 568, 827, 7680, 1382, 543, 15388, 2833, 269, 769, 713, 23072, 267, 2596, 1702, 540, 1018, 1382, 568, 267, 543, 875, 621, 1568, 568, 1898, 547, 2327, 602, 519, 1995, 3587, 16180, 269, 901, 568, 519, 1292, 3483, 540, 713, 3992, 563, 4488, 16688, 12903, 26827, 308, 4041, 910, 476, 273, 9978, 9483, 11242, 6168, 19004, 11872, 476, 5379, 2504, 568, 547, 14183, 938, 6499, 269, 1452, 5370, 543, 2533, 3812, 666, 581, 4421, 538, 6990, 610, 666, 581, 3177, 676, 519, 2229, 547, 1857, 693, 22194, 5279, 269, 4475, 13870, 568, 3989, 607, 5137, 540, 10626, 269, 13870, 2238, 4125, 1818, 540, 5370, 543, 2533, 269, 5590, 909, 513, 22481, 7634, 26745, 519, 1985, 942, 596, 1286, 557, 513, 22481, 256, 4634, 952, 596, 1810, 1405, 1286, 557, 6802, 9469, 267, 713, 2257, 26745, 568, 3501, 518, 2887, 1565, 269, 24439, 513, 1390, 3946, 6823, 2887, 2257, 2534, 1932, 269, 1284, 4956, 547, 1286, 557, 909, 513, 2462, 22481, 713, 15964, 1310, 2542, 519, 1433, 27124, 7219, 10793, 269, 1284, 2219, 649, 1131, 1286, 557, 938, 22481, 2038, 713, 3923, 547, 1294, 1018, 1131, 4755, 547, 519, 22481, 936, 4586, 4467, 14293, 1876, 267, 922, 3741, 543, 7245, 454, 3682, 22422, 543, 12871, 3664, 454, 763, 6998, 3902, 454, 305, 2737, 540, 519, 14716, 531, 7177, 5742, 454, 327, 826, 1299, 3956, 454, 288, 11416, 540, 7033, 6804, 23193, 601, 23625, 3004, 1231, 454, 31262, 532, 540, 18714, 8134, 693, 519, 3119, 2504, 1377, 21591, 16498, 3157, 538, 20569, 454, 31718, 6628, 543, 519, 2296, 17260, 454, 21995, 5907, 543, 5122, 26004, 454, 3383, 559, 5619, 540, 5842, 30511, 5136, 7371, 334, 6019, 267, 4993, 267, 17131, 334, 7605, 956, 1858, 454, 30696, 593, 519, 5101, 11068, 4133, 454, 763, 1433, 729, 2854, 12964, 1296, 1310, 1010, 3741, 1433, 267, 543, 621, 8179, 547, 4308, 609, 519, 29383, 609, 799, 602, 1433, 729, 30870, 538, 519, 4436, 1158, 563, 300, 10152, 13187, 602, 9297, 666, 543, 1590, 581, 811, 982, 606, 4674, 693, 11287, 267, 10655, 267, 543, 7011, 1782, 1239, 269, 898, 666, 1118, 2489, 7422, 827, 519, 4031, 540, 9297, 602, 7500, 563, 11321, 476, 277, 267, 910, 21909, 539, 2238, 3237, 543, 3610, 666, 946, 547, 4001, 9297, 4245, 269, 6423, 811, 2093, 827, 13188, 4245, 267, 9752, 2724, 267, 14559, 2238, 20382, 269, 7454, 7232, 591, 11242, 585, 24110, 476, 273, 1700, 274, 281, 5384, 1299, 14559, 676, 7671, 32298, 267, 1546, 4011, 1695, 681, 990, 514, 5336, 584, 19148, 563, 1607, 1433, 568, 2407, 540, 10063, 322, 17156, 602, 1331, 4245, 543, 2238, 585, 3450, 942, 543, 2724, 269, 1411, 3513, 849, 1265, 10063, 24862, 11708, 267, 12125, 267, 8642, 25696, 267, 3756, 267, 9910, 268, 9248, 267, 2653, 3562, 2173, 820, 6354, 592, 2510, 267, 543, 4879, 2093, 563, 15307, 21521, 538, 10932, 538, 13188, 568, 835, 540, 519, 9510, 2489, 29027, 9297, 13746, 538, 519, 1158, 543, 519, 1292, 835, 1851, 1346, 1759, 538, 7977, 269, 634, 3483, 540, 519, 4760, 568, 547, 2824, 3312, 7811, 543, 12170, 4930, 602, 786, 723, 1164, 1764, 593, 519, 7521, 538, 519, 1514, 9443, 282, 2094, 527, 814, 3370, 1271, 563, 763, 6239, 13163, 540, 27148, 630, 290, 10292, 264, 568, 519, 30856, 14236, 8116, 540, 3127, 269, 898, 3252, 607, 513, 3084, 14236, 543, 3354, 3919, 607, 1134, 607, 606, 4987, 8116, 267, 543, 6411, 607, 3127, 781, 561, 807, 2581, 547, 3955, 31673, 563, 23330, 908, 896, 519, 16278, 540, 519, 12080, 540, 12287, 6773, 267, 5398, 717, 4471, 341, 1734, 543, 623, 5014, 267, 519, 595, 10292, 568, 18188, 676, 519, 10615, 267, 595, 10292, 267, 945, 5359, 2047, 547, 519, 563, 1607, 1433, 568, 827, 4747, 10451, 2238, 267, 543, 519, 3741, 543, 1505, 268, 3098, 540, 713, 1899, 540, 6304, 602, 519, 8028, 293, 1426, 3354, 6887, 723, 1044, 632, 767, 268, 14563, 1282, 519, 2063, 1906, 1296, 593, 519, 2361, 563, 1103, 2492, 5108, 666, 948, 547, 7753, 1426, 22584, 950, 2804, 2188, 269, 9483, 3194, 4659, 585, 6789, 292, 3198, 543, 5101, 5607, 630, 2207, 8656, 264, 30667, 281, 20465, 22478, 3120, 700, 18210, 267, 4972, 540, 13188, 281, 3883, 30667, 910, 3864, 16949, 281, 476, 1321, 630, 1321, 264, 22478, 3120, 700, 18210, 267, 4972, 540, 13188, 281, 3883, 30667, 910, 11572, 3163, 281, 476, 276, 630, 276, 264, 22478, 3120, 700, 18210, 267, 4972, 540, 13188, 281, 3883, 30667, 910, 4317, 4518, 543, 24205, 281, 476, 1015, 630, 1015, 264, 11977, 563, 292, 21643, 630, 13367, 531, 264, 15858, 14313, 585, 16373, 4065, 269, 5824, 1977, 16373, 5741, 630, 9391, 267, 3992, 267, 2534, 264, 8092, 2422, 26269, 630, 9391, 267, 3992, 267, 2534, 264, 29665, 15907, 519, 2622, 3014, 269, 16418, 532, 513, 18696, 538, 4139, 11780, 630, 9391, 267, 2534, 264, 18696, 540, 5295, 9752, 6651, 563, 2690, 8866, 269, 13188, 10632, 1299, 11242, 269, 9105, 3220, 269, 661, 935, 269, 14559, 269, 1548, 1772, 519, 631, 2478, 11545, 269, 634, 631, 2478, 11545, 4930, 616, 2110, 543, 4143, 543, 2854, 689, 519, 5133, 540, 606, 4652, 9116, 1229, 1863, 2344, 543, 22341, 9297, 269, 18838, 585, 513, 3376, 5304, 540, 2482, 5443, 543, 1053, 267, 519, 631, 2478, 11545, 2934, 513, 2647, 3099, 540, 3584, 1519, 3388, 689, 519, 1686, 540, 519, 1533, 267, 547, 3486, 4123, 267, 547, 3075, 29611, 267, 543, 1870, 9979, 563, 17220, 4745, 7634, 6887, 630, 297, 3951, 338, 264, 568, 606, 3608, 1505, 547, 8495, 1098, 31215, 13313, 2665, 267, 5473, 14501, 540, 13313, 10963, 8149, 538, 1896, 2477, 269, 3864, 5742, 2477, 946, 519, 3864, 5742, 7027, 17563, 17423, 540, 476, 1724, 4873, 593, 17434, 27148, 30581, 585, 4259, 909, 971, 6887, 563, 763, 10456, 4972, 9307, 513, 5458, 25710, 6412, 7634, 883, 519, 4102, 8789, 2029, 10909, 538, 519, 2136, 2276, 267, 1519, 5616, 267, 9365, 267, 11197, 543, 8835, 563, 763, 11298, 297, 786, 2689, 269, 20074, 15766, 725, 476, 274, 538, 519, 918, 268, 276, 15858, 25417, 4569, 4804, 269, 3718, 10914, 15766, 725, 476, 274, 538, 519, 918, 268, 276, 15858, 32492, 12071, 1890, 918, 268, 276, 4569, 13756, 281, 631, 11679, 476, 272, 267, 476, 274, 267, 476, 276, 267, 476, 277, 4569, 13756, 281, 631, 11679, 476, 273, 267, 476, 275, 267, 476, 278, 267, 476, 279, 563, 20059, 12720, 568, 519, 957, 540, 1469, 6514, 540, 2238, 865, 607, 547, 3035, 1978, 6859, 269, 590, 2403, 267, 7634, 568, 1500, 538, 16143, 4025, 269, 898, 9060, 856, 519, 2470, 543, 4128, 540, 16143, 2127, 855, 2912, 1746, 568, 519, 957, 540, 6313, 2835, 540, 6589, 865, 607, 547, 6961, 3020, 543, 14619, 540, 5665, 2164, 543, 2883, 2990, 540, 513, 563, 20059, 12720, 282, 12791, 281, 634, 1184, 540, 8524, 532, 519, 2835, 540, 6589, 540, 606, 11769, 543, 8989, 593, 621, 267, 568, 1634, 607, 10748, 1746, 269, 1323, 14374, 5342, 267, 585, 9591, 513, 1808, 1249, 610, 5168, 568, 1634, 607, 27148, 563, 26903, 281, 4937, 22410, 281, 11879, 543, 538, 3178, 6514, 269, 5345, 573, 1878, 281, 634, 20209, 1878, 616, 10388, 538, 2470, 269, 2913, 779, 979, 998, 519, 2835, 267, 543, 596, 666, 2995, 803, 1018, 779, 1271, 827, 873, 543, 1946, 596, 899, 873, 269, 634, 1101, 835, 593, 707, 1592, 568, 634, 769, 6665, 1043, 32020, 8759, 281, 1215, 3776, 2271, 340, 1431, 1546, 576, 633, 2974, 267, 676, 18332, 932, 629, 5142, 543, 12253, 3244, 976, 563, 4322, 616, 519, 16921, 945, 1705, 835, 540, 519, 1034, 1271, 4773, 540, 1382, 538, 1514, 2257, 267, 799, 568, 547, 1397, 875, 2370, 649, 2965, 1294, 538, 519, 1158, 1472, 721, 269, 634, 1433, 15766, 725, 538, 519, 13188, 540, 28544, 267, 3798, 1243, 676, 6424, 589, 269, 29216, 568, 3370, 676, 2160, 540, 9628, 4964, 563, 20059, 580, 725, 538, 519, 13188, 540, 28544, 267, 29216, 2353, 9628, 552, 268, 9248, 616, 593, 9042, 693, 476, 1789, 260, 1055, 609, 519, 3009, 661, 19447, 10498, 9612, 519, 1158, 781, 1034, 3102, 4994, 540, 2407, 17856, 2835, 563, 7069, 5399, 269, 3883, 19590, 634, 555, 21436, 630, 294, 10232, 918, 268, 274, 264, 589, 17348, 585, 3733, 12624, 630, 294, 10232, 3738, 1325, 821, 538, 3571, 11819, 781, 5600, 630, 11321, 9109, 4414, 14006, 476, 275, 264, 630, 294, 10232, 3738, 19748, 976, 543, 19748, 517, 1228, 630, 294, 10232, 3738, 634, 3619, 5025, 1037, 667, 20683, 630, 294, 10232, 3738, 634, 19748, 517, 1228, 2782, 630, 294, 10232, 3738, 774, 574, 1076, 14400, 630, 294, 10232, 3738, 634, 4658, 540, 590, 1706, 802, 281, 634, 5822, 3883, 540, 2506, 828, 630, 294, 10232, 3738, 6153, 27587, 563, 306, 11548, 269, 7348, 5750, 3877, 630, 311, 11862, 311, 1040, 2690, 3606, 11708, 689, 713, 3296, 267, 4647, 519, 7300, 540, 713, 1032, 779, 4578, 3883, 269, 4400, 7547, 540, 519, 4578, 269, 769, 674, 14166, 5729, 630, 293, 312, 264, 1492, 594, 11965, 6394, 811, 982, 1269, 5479, 538, 10002, 4660, 10526, 593, 7024, 19429, 609, 3606, 3454, 1813, 267, 2121, 1154, 1269, 5479, 1310, 5491, 19132, 630, 8368, 476, 1839, 630, 311, 11862, 311, 26895, 763, 594, 11965, 12290, 5176, 1269, 5479, 538, 3540, 20507, 563, 5746, 288, 9483, 8890, 560, 2708, 4914, 2804, 267, 4123, 267, 543, 2883, 4690, 602, 1860, 2475, 3354, 4690, 269, 8859, 1235, 2324, 538, 6237, 13646, 1445, 593, 513, 2039, 540, 12550, 11296, 543, 2890, 11296, 2152, 6849, 519, 2197, 610, 3148, 789, 3382, 267, 1247, 24192, 2324, 30427, 2152, 1491, 513, 6626, 267, 2518, 1935, 547, 971, 6927, 543, 4043, 547, 5490, 811, 7184, 883, 2930, 563, 13014, 13188, 8342, 256, 901, 5871, 23281, 13188, 3896, 267, 922, 18913, 1837, 543, 922, 1576, 10189, 1683, 2645, 547, 948, 1118, 9297, 3135, 2488, 3432, 344, 5907, 4199, 5583, 267, 2298, 9360, 267, 2804, 1806, 267, 2656, 6402, 547, 3579, 8631, 267, 1344, 593, 513, 2407, 3818, 2173, 4215, 1576, 10189, 543, 13186, 14773, 906, 593, 875, 547, 1205, 8036, 547, 4001, 513, 1576, 1210, 1547, 732, 1459, 267, 543, 602, 1454, 949, 581, 6591, 689, 2417, 7634, 563, 2252, 519, 1764, 540, 2804, 2566, 593, 6760, 3466, 666, 581, 2417, 6956, 267, 543, 1256, 9472, 539, 538, 519, 2110, 3856, 267, 1287, 972, 568, 519, 1761, 547, 2744, 1454, 998, 3609, 1646, 543, 6760, 6604, 2962, 269, 3967, 7325, 3967, 7325, 9596, 6760, 6429, 7634, 998, 3312, 2013, 2090, 602, 1397, 596, 875, 547, 1184, 543, 3561, 513, 7803, 7634, 689, 1101, 3210, 547, 11488, 513, 1867, 547, 519, 21991, 12460, 779, 5604, 563, 7476, 909, 547, 3432, 593, 519, 1533, 6361, 7308, 19603, 3329, 894, 2553, 6964, 538, 519, 2665, 269, 0, 763, 2442, 21658, 585, 32073, 5444, 7393, 568, 602, 621, 15824, 899, 7636, 23805, 267, 14253, 532, 856, 1265, 6810, 540, 5027, 269, 26304, 1627, 328, 267, 13930, 7548, 540, 6915, 30261, 693, 18628, 2160, 267, 15055 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1622, 17111, 264, 543, 1614, 8026, 9972, 4791, 14278, 1235, 609, 693, 2547, 476, 276, 1296, 540, 2324, 1995, 538, 519, 2229, 6413, 269, 16684, 532, 267, 2866, 7886, 267, 543, 5910, 20535, 941, 5342, 609, 782, 519, 1239, 19216, 1991, 547, 519, 1239, 4015, 269, 634, 1239, 19216, 538, 713, 1353, 941, 519, 14278, 1235, 689, 519, 9757, 10506, 3238, 538, 713, 1353, 269, 30272, 267, 513, 12681, 1353, 729, 5342, 609, 476, 3953, 2550, 267, 609, 5216, 2550, 1142, 689, 11233, 3057, 644, 328, 267, 11233, 5975, 784, 267, 11233, 11023, 334, 267, 543, 11233, 18243, 520, 269, 2060, 519, 6394, 1239, 267, 519, 4835, 11007, 540, 519, 18102, 538, 519, 1239, 4015, 1106, 729, 7318, 609, 595, 1258, 22138, 779, 13672, 267, 543, 519, 2164, 941, 476, 271, 269, 279, 1839, 585, 2055, 602, 8268, 519, 2853, 540, 670, 9915, 338, 543, 476, 271, 269, 278, 3199, 585, 2055, 602, 5059, 593, 3461, 779, 8226, 540, 670, 9915, 338, 563, 763, 2550, 945, 6394, 6527, 689, 519, 30229, 26849, 8257, 540, 519, 5697, 10506, 941, 29971, 676, 519, 1239, 19216, 269, 8409, 945, 24009, 519, 10014, 7355, 941, 5697, 543, 1572, 547, 519, 13508, 4055, 269, 634, 6859, 540, 519, 1353, 941, 6045, 543, 519, 2550, 941, 4280, 585, 9844, 547, 7119, 538, 519, 1353, 269, 30272, 267, 519, 1239, 4015, 1106, 729, 7856, 998, 3068, 3562, 19904, 11042, 609, 519, 2550, 269, 769, 1931, 547, 2569, 11291, 9186, 267, 713, 1353, 1152, 3769, 519, 670, 9915, 338, 5018, 676, 519, 2550, 799, 789, 941, 8362, 1210, 269, 4112, 534, 725, 941, 2016, 676, 519, 1239, 19216, 676, 1210, 2482, 2006, 779, 2165, 865, 602, 519, 2550, 1131, 1174, 519, 4214, 540, 670, 9915, 338, 538, 713, 1353, 269, 2920, 1947, 1031, 670, 9915, 729, 3989, 607, 670, 9915, 338, 602, 941, 4867, 10057, 676, 519, 2550, 269, 634, 2550, 941, 16761, 547, 3142, 2059, 741, 670, 9915, 338, 585, 8446, 952, 789, 3112, 11291, 519, 2472, 685, 4408, 269, 634, 1239, 4015, 1106, 729, 4904, 538, 676, 519, 1239, 19216, 269, 3958, 267, 2550, 685, 1591, 6049, 2338, 941, 6592, 269, 9747, 267, 1344, 602, 729, 14406, 856, 1282, 519, 5967, 729, 5833, 2663, 998, 15146, 7125, 610, 1282, 519, 1985, 6646, 4015, 4266, 563, 763, 1239, 941, 9411, 883, 519, 18926, 13268, 720, 585, 519, 4317, 7070, 590, 31723, 10378, 4528, 476, 2641, 269, 271, 585, 2079, 269, 29149, 7194, 941, 1031, 547, 1867, 519, 15295, 1239, 267, 9860, 267, 2853, 267, 543, 11994, 540, 519, 2550, 4724, 670, 9915, 338, 269, 634, 1455, 670, 9915, 338, 1031, 543, 741, 23053, 941, 9184, 4327, 269, 645, 21725, 26848, 9695, 729, 1031, 547, 2263, 519, 7681, 540, 782, 519, 8739, 24683, 4919, 1239, 609, 519, 946, 540, 670, 9915, 338, 563, 288, 2698, 540, 476, 3607, 275, 2550, 941, 14059, 547, 7119, 538, 519, 1459, 1353, 269, 27607, 2550, 945, 15189, 547, 7119, 543, 1776, 2947, 2550, 609, 7508, 1239, 941, 16934, 269, 634, 6967, 476, 12573, 2550, 15548, 538, 713, 1353, 269, 634, 1611, 2085, 543, 1560, 2527, 4994, 540, 519, 17013, 941, 476, 4649, 269, 277, 13008, 476, 1556, 269, 278, 1296, 543, 476, 1839, 269, 2568, 13008, 476, 275, 269, 4817, 4846, 8276, 273, 267, 6606, 269, 590, 2775, 569, 811, 982, 3368, 630, 6321, 269, 271, 8472, 540, 519, 17013, 941, 4775, 269, 634, 14940, 540, 519, 5354, 630, 3953, 269, 274, 8472, 540, 519, 17013, 729, 594, 3316, 267, 543, 1034, 630, 7918, 269, 277, 8472, 540, 519, 17013, 685, 2069, 2157, 941, 2539, 982, 6281, 1153, 269, 634, 17013, 941, 6140, 20060, 332, 758, 619, 630, 10463, 269, 272, 8472, 543, 1875, 531, 4022, 4235, 619, 630, 7761, 269, 271, 22103, 634, 5354, 540, 873, 630, 6078, 269, 272, 8472, 941, 9308, 3742, 609, 811, 982, 1614, 2053, 540, 2168, 2534, 829, 3018, 269, 25392, 519, 8739, 24683, 16623, 267, 827, 3368, 630, 5392, 269, 275, 8472, 540, 873, 723, 513, 10865, 7622, 4747, 540, 1447, 982, 681, 300, 476, 279, 1789, 630, 4785, 291, 476, 1960, 269, 4510, 1040, 4107, 540, 519, 17013, 941, 8995, 609, 13119, 630, 10436, 269, 280, 15992, 3987, 22577, 630, 7367, 269, 280, 15992, 543, 7988, 28309, 573, 8598, 630, 4097, 269, 274, 8472, 630, 5408, 7305, 476, 272, 1916, 347, 8368, 476, 272, 269, 5915, 4919, 4162, 540, 2550, 8198, 314, 12812, 1934, 547, 2070, 2639, 30535, 685, 2853, 540, 670, 9915, 454, 288, 2698, 540, 476, 5611, 17013, 630, 5655, 269, 280, 8472, 723, 1995, 538, 10438, 670, 9915, 338, 269, 1717, 267, 519, 9860, 540, 3742, 670, 9915, 3755, 729, 476, 2190, 269, 271, 260, 630, 333, 815, 476, 10019, 1040, 7324, 519, 3742, 3755, 267, 519, 5354, 630, 6078, 269, 278, 260, 282, 562, 815, 476, 3374, 264, 941, 689, 519, 1164, 7622, 4747, 1895, 267, 1247, 476, 2764, 269, 277, 260, 630, 333, 815, 476, 2190, 264, 543, 476, 3066, 269, 279, 260, 630, 333, 815, 476, 1839, 1070, 6606, 267, 941, 689, 9793, 268, 543, 1970, 13867, 2516, 269, 634, 476, 5611, 17013, 941, 11567, 593, 741, 2853, 540, 670, 9915, 269, 15907, 3368, 630, 7906, 269, 275, 8472, 540, 519, 17013, 723, 1995, 538, 10438, 11311, 11955, 1927, 609, 670, 9915, 338, 5612, 1991, 547, 610, 1310, 741, 11311, 11955, 4616, 1510, 1022, 18532, 942, 19437, 269, 1879, 4481, 12570, 519, 1699, 3742, 670, 9915, 3755, 267, 476, 5038, 269, 274, 260, 630, 333, 815, 476, 7918, 264, 540, 873, 723, 2141, 1031, 670, 9915, 338, 598, 1260, 527, 14688, 609, 11311, 11955, 269, 11048, 267, 5111, 3368, 630, 7367, 269, 271, 8472, 540, 519, 17013, 8612, 602, 789, 2760, 5077, 7189, 610, 14278, 1235, 1354, 10438, 1022, 670, 9915, 269, 14755, 267, 476, 7918, 269, 271, 260, 540, 519, 17013, 2760, 5483, 7189, 610, 14278, 1235, 827, 741, 946, 540, 670, 9915, 338, 269, 634, 5354, 540, 17013, 630, 7761, 269, 271, 8472, 2760, 2638, 519, 1587, 14261, 4567, 1354, 1210, 670, 9915, 338, 269, 4107, 540, 519, 17013, 10645, 602, 789, 2760, 630, 4037, 269, 274, 8472, 1689, 519, 12512, 540, 519, 11311, 11955, 1317, 540, 670, 9915, 946, 267, 543, 476, 6321, 269, 278, 260, 4553, 519, 18262, 12512, 6044, 540, 519, 670, 9915, 946, 630, 5408, 7305, 476, 273, 1916, 30535, 685, 11994, 540, 670, 9915, 454, 5472, 519, 17013, 630, 333, 815, 476, 12573, 264, 941, 12290, 593, 741, 11994, 540, 670, 9915, 269, 8307, 476, 2190, 269, 274, 260, 540, 519, 17013, 9228, 782, 670, 9915, 338, 30630, 538, 7203, 1177, 752, 607, 2922, 547, 581, 10057, 269, 6684, 267, 1152, 476, 2767, 269, 276, 260, 540, 17013, 5156, 602, 782, 670, 9915, 338, 4421, 538, 7203, 1177, 752, 723, 13170, 689, 519, 12080, 540, 2657, 17111, 269, 634, 5354, 540, 17013, 6829, 6876, 602, 621, 568, 2556, 547, 5077, 7189, 610, 14278, 1235, 1354, 1210, 1022, 670, 9915, 630, 11025, 269, 271, 8472, 543, 581, 5483, 827, 519, 598, 1260, 26938, 946, 540, 670, 9915, 338, 543, 11311, 11955, 630, 3199, 269, 274, 22103, 769, 1840, 267, 519, 17013, 849, 6140, 8815, 630, 10695, 269, 278, 8472, 2390, 519, 2956, 540, 1739, 519, 6044, 540, 7189, 610, 14278, 1235, 593, 519, 946, 540, 670, 9915, 338, 630, 5408, 7305, 476, 274, 1916, 347, 8368, 476, 273, 269, 13756, 540, 519, 946, 540, 670, 9915, 338, 8198, 314, 12812, 1934, 547, 2070, 2639, 347, 8368, 476, 274, 269, 3131, 8526, 540, 670, 9915, 338, 8198, 314, 12812, 1934, 547, 2070, 2639, 26502, 12018, 670, 9915, 4616, 454, 2691, 12570, 519, 7700, 2188, 547, 670, 9915, 4616, 267, 519, 3461, 779, 4008, 267, 2085, 267, 1560, 2527, 4994, 267, 14940, 267, 2069, 1377, 267, 7296, 4567, 267, 4568, 4616, 4567, 267, 2168, 2534, 267, 7622, 4747, 267, 543, 1297, 540, 635, 12643, 7190, 3676, 941, 7620, 7318, 676, 2582, 26848, 9695, 269, 634, 2164, 4951, 602, 2069, 1377, 267, 7296, 4567, 267, 543, 10865, 7622, 4747, 941, 19250, 3648, 2404, 609, 519, 946, 540, 670, 9915, 338, 269, 1452, 1614, 2188, 941, 13604, 7318, 538, 1617, 21725, 9382, 543, 1152, 4747, 540, 519, 1920, 3648, 6766, 519, 946, 540, 670, 9915, 338, 269, 14451, 7622, 4747, 3648, 3366, 547, 513, 3152, 6165, 540, 670, 9915, 338, 269, 14904, 609, 513, 10865, 7622, 4747, 540, 811, 982, 681, 300, 476, 1220, 271, 269, 876, 630, 4785, 291, 476, 21878, 269, 6795, 264, 941, 3648, 811, 2693, 547, 8532, 670, 9915, 338, 607, 3379, 547, 519, 1970, 13867, 1895, 609, 513, 10865, 4747, 540, 681, 300, 476, 279, 1789, 269, 876, 630, 4785, 291, 476, 1960, 269, 4510, 264, 610, 1447, 630, 611, 3286, 539, 12918, 5223, 281, 476, 275, 269, 2537, 282, 476, 4817, 260, 16275, 281, 476, 273, 269, 4029, 1700, 278, 269, 10602, 282, 533, 2999, 476, 271, 269, 9826, 1040, 8409, 609, 513, 10865, 4747, 8151, 689, 811, 982, 681, 300, 476, 279, 1789, 269, 876, 630, 4785, 291, 476, 1960, 269, 4510, 264, 547, 681, 300, 476, 1220, 271, 269, 876, 630, 4785, 291, 476, 21878, 269, 6795, 264, 941, 849, 3648, 811, 12155, 547, 946, 670, 9915, 338, 982, 519, 1970, 13867, 1895, 630, 611, 3286, 539, 12918, 5223, 281, 476, 273, 269, 6187, 282, 476, 4817, 260, 16275, 281, 476, 272, 269, 1015, 1700, 274, 269, 10436, 282, 533, 2999, 476, 271, 269, 9826, 1916, 9391, 11679, 10057, 676, 519, 2550, 454, 763, 2472, 4122, 10057, 676, 513, 2698, 540, 476, 10019, 3742, 670, 9915, 3755, 616, 7396, 538, 7305, 476, 275, 269, 634, 5354, 630, 10695, 269, 274, 9077, 562, 815, 476, 3583, 264, 540, 873, 941, 2582, 670, 9915, 3755, 267, 1247, 8370, 630, 1015, 269, 278, 8472, 540, 519, 3755, 10057, 1079, 2472, 269, 1703, 941, 1152, 2185, 630, 275, 269, 279, 8472, 670, 9915, 3755, 945, 10057, 1614, 2472, 543, 1152, 835, 630, 272, 269, 273, 8472, 3593, 945, 10057, 2185, 2472, 269, 634, 1611, 1297, 540, 670, 9915, 338, 1031, 676, 3742, 3755, 729, 1336, 547, 581, 476, 272, 269, 1839, 13008, 476, 271, 269, 6795, 269, 634, 1034, 4122, 1031, 670, 9915, 729, 3165, 3282, 630, 5976, 6171, 661, 1070, 6171, 595, 630, 5976, 6915, 4148, 822, 517, 6950, 1070, 543, 6722, 657, 8533, 630, 5976, 513, 4999, 540, 824, 3742, 5820, 1916, 347, 8368, 476, 275, 269, 670, 9915, 946, 543, 922, 4397, 4915, 3483, 8198, 314, 12812, 1934, 547, 2070, 2639, 763, 3210, 2557, 538, 713, 1353, 729, 476, 9834, 269, 273, 260, 543, 7307, 547, 3035, 519, 6098, 3732, 2450, 269, 4107, 540, 519, 17013, 630, 7597, 269, 275, 8472, 941, 519, 1875, 5336, 531, 599, 5065, 2551, 538, 7203, 1177, 752, 543, 519, 3892, 729, 538, 13076, 609, 519, 15295, 8984, 540, 519, 7203, 1177, 752, 5065, 2551, 585, 799, 519, 2101, 885, 941, 594, 3316, 267, 645, 6118, 7795, 267, 543, 9253, 534, 879, 630, 301, 15625, 1696, 620, 1421, 476, 1001, 277, 1040, 901, 729, 4334, 539, 609, 2147, 2090, 5342, 538, 4639, 17111, 799, 3238, 5631, 519, 6803, 2516, 540, 30017, 267, 4457, 267, 543, 4095, 630, 289, 1695, 541, 558, 1696, 620, 1421, 476, 1001, 277, 282, 932, 532, 1696, 620, 1421, 476, 1001, 274, 1040, 14755, 267, 519, 17013, 3622, 723, 2539, 2069, 1377, 543, 7622, 4747, 607, 3379, 547, 513, 3105, 1353, 538, 17111, 799, 3238, 4683, 630, 299, 2465, 1696, 620, 1421, 476, 1220, 278, 264, 543, 28180, 2127, 630, 2419, 532, 1696, 620, 1421, 476, 1001, 274, 1040, 27819, 476, 736, 260, 540, 519, 17013, 538, 519, 1459, 1353, 1705, 711, 4309, 6101, 2069, 543, 5111, 3368, 540, 873, 723, 513, 7622, 4747, 2539, 982, 681, 300, 476, 279, 1789, 829, 3923, 543, 713, 729, 9286, 607, 513, 4057, 1920, 2687, 547, 519, 4214, 676, 519, 14570, 1014, 2229, 630, 14737, 3588, 540, 2657, 267, 8534, 543, 28054, 267, 476, 1001, 272, 1916, 7212, 713, 1353, 4481, 3238, 2550, 609, 5312, 10108, 267, 519, 9860, 540, 670, 9915, 13345, 729, 2539, 607, 3379, 547, 824, 2090, 799, 5059, 593, 1808, 2068, 2516, 267, 971, 607, 1826, 4083, 3987, 22577, 630, 6812, 269, 276, 15992, 13119, 630, 7830, 269, 277, 15992, 543, 19576, 779, 2068, 630, 10695, 269, 275, 8472, 630, 289, 1695, 541, 558, 1696, 620, 1421, 476, 1001, 277, 282, 932, 532, 1696, 620, 1421, 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 ]
[ 763, 4978, 540, 519, 476, 1704, 628, 2540, 1625, 11939, 2486, 538, 519, 476, 1960, 276, 4670, 519, 25243, 4484, 454, 29638, 5107, 538, 2486, 1557, 5553, 607, 835, 786, 1294, 538, 1079, 29534, 2984, 2854, 538, 519, 476, 1704, 628, 2540, 538, 562, 11936, 1408, 17761, 25079, 779, 519, 25243, 4484, 269, 15722, 880, 906, 538, 513, 476, 1704, 628, 10601, 1625, 11939, 1483, 1106, 540, 10751, 538, 1625, 11939, 2486, 1265, 713, 8930, 543, 811, 593, 1625, 30808, 676, 519, 25243, 4484, 476, 1960, 276, 575, 776, 2025, 2006, 269, 30332, 602, 786, 2800, 5104, 32596, 543, 1747, 2486, 693, 1981, 593, 5104, 569, 476, 2537, 267, 476, 1960, 276, 267, 540, 713, 476, 1704, 628, 2540, 1404, 568, 1631, 1373, 519, 25243, 4484, 11783, 5590, 538, 476, 1704, 628, 10601, 1625, 11939, 519, 1739, 568, 513, 1592, 540, 8100, 547, 519, 25243, 4484, 538, 2442, 2528, 4670, 6429, 689, 606, 585, 513, 11180, 2486, 543, 563, 306, 1539, 1214, 538, 519, 476, 1960, 276, 4670, 519, 25243, 4484, 476, 1704, 628, 2540, 1625, 11939, 2486, 538, 519, 476, 1960, 276, 4670, 519, 4978, 540, 519, 476, 1704, 628, 2540, 1625, 11939, 2486, 269, 476, 1240, 343, 1240, 476, 1240, 5789, 787, 6126, 28581, 1535, 5733, 1535, 2173, 553, 1990, 2089, 1229, 12235, 10788, 578, 2013, 1299, 31289, 519, 1625, 30808, 17049, 28581, 538, 519, 476, 1704, 628, 2540, 269, 9400, 476, 3422, 277, 3332, 543, 2486, 952, 4896, 22993, 519, 973, 11798, 689, 27867, 10601, 1625, 11939, 31249, 344, 4724, 519, 547, 519, 25243, 4484, 563, 13729, 538, 476, 1704, 628, 10601, 1625, 11939, 2527, 11637, 15922, 855, 646, 3122, 1185, 1044, 9813, 730, 689, 519, 1625, 11939, 2486, 267, 519, 25243, 4484, 814, 6273, 3875, 4670, 11783, 630, 1960, 276, 1070, 799, 5205, 519, 621, 729, 519, 4493, 585, 519, 14980, 4670, 2025, 588, 533, 4954, 781, 519, 25243, 4484, 281, 513, 15832, 630, 6977, 271, 264, 1305, 538, 476, 1704, 628, 10601, 1625, 11939, 536, 10667, 11783, 14847, 1438, 15472, 5526, 547, 581, 513, 476, 736, 628, 2540, 7613, 602, 3323, 538, 21570, 543, 513, 5326, 4103, 14318, 4670, 267, 1282, 519, 476, 1724, 628, 998, 476, 1704, 628, 563, 29423, 1470, 543, 3381, 1565, 713, 547, 5957, 513, 25243, 4484, 513, 593, 1200, 536, 657, 558, 1310, 1352, 862, 1080, 13277, 6670, 543, 3587, 9176, 538, 519, 476, 1704, 628, 10601, 1625, 11939, 269, 634, 25243, 4484, 1888, 519, 25243, 1305, 538, 476, 1704, 628, 10601, 1625, 11939, 2527, 11637, 538, 3140, 642, 10884, 2486, 267, 562, 6403, 32244, 729, 513, 2165, 585, 513, 1514, 16663, 31552, 269, 5590, 538, 476, 1704, 628, 10601, 1625, 11939, 536, 10667, 267, 4670, 14624, 540, 519, 25243, 4484, 543, 519, 25243, 519, 10351, 3069, 540, 519, 25243, 4484, 267, 17761, 25079, 2486, 269, 5590, 538, 476, 1704, 628, 10601, 1625, 11939, 536, 10667, 267, 855, 646, 3122, 1185, 1044, 9813, 730, 689, 519, 1625, 11939, 2486, 267, 519, 25243, 4484, 814, 6273, 3875, 4670, 11783, 5590, 538, 27867, 10601, 1625, 11939, 1007, 24469, 538, 4207, 2486, 519, 25243, 4484, 729, 606, 4731, 11220, 734, 28291, 4528, 8118, 538, 476, 1960, 276, 588, 18732, 563, 5472, 2835, 2139, 998, 519, 4099, 7396, 676, 2140, 2140, 281, 513, 1279, 1259, 8854, 281, 29946, 540, 513, 7911, 17199, 2278, 281, 568, 8676, 601, 11824, 1893, 281, 7005, 2085, 1895, 281, 6502, 476, 1691, 269, 476, 2641, 560, 10601, 15806, 910, 32640, 2261, 542, 1762, 1282, 519, 4832, 2165, 540, 476, 1960, 276, 1762, 729, 513, 9683, 7548, 540, 6138, 693, 519, 25243, 4484, 269, 9181, 525, 519, 5691, 23462, 6208, 540, 14206, 10601, 1625, 11939, 13896, 267, 476, 1704, 628, 2540, 1007, 540, 1990, 18311, 538, 949, 476, 1960, 276, 267, 562, 13960, 729, 519, 1152, 4670, 12284, 269, 6271, 7872, 7389, 1394, 547, 519, 476, 1704, 628, 2540, 267, 575, 15402, 15832, 519, 25243, 4484, 630, 4489, 275, 1700, 1960, 276, 264, 7819, 4670, 957, 816, 563, 4263, 519, 1439, 540, 519, 1650, 596, 2811, 711, 476, 1911, 260, 2386, 952, 17761, 25079, 729, 18149, 940, 519, 1625, 11939, 2486, 267, 2025, 476, 1704, 628, 2540, 1625, 11939, 4978, 941, 519, 25243, 4484, 543, 269, 634, 25243, 4484, 630, 13092, 7160, 264, 1305, 538, 476, 1704, 628, 10601, 1625, 11939, 536, 10667, 267, 543, 519, 18923, 1447, 7453, 2486, 538, 799, 621, 729, 2854, 11783, 1160, 331, 4084, 281, 585, 19160, 540, 4661, 538, 519, 25243, 4484, 630, 1960, 276, 264, 519, 4681, 540, 568, 320, 659, 1007, 2023, 538, 519, 476, 1704, 628, 2540, 543, 621, 568, 1631, 9090, 3964, 602, 269, 3399, 4974, 6067, 1641, 1449, 281, 3332, 538, 7005, 4967, 1451, 6863, 267, 630, 16647, 983, 538, 519, 683, 16438, 817, 673, 3350, 476, 1704, 628, 543, 476, 1240, 628, 2540, 1070, 519, 25243, 4484, 563, 9359, 4974, 9299, 343, 529, 13797, 7005, 4999, 1451, 540, 476, 1240, 628, 10601, 7005, 2486, 543, 5104, 868, 777, 4680, 519, 2530, 540, 1010, 4978, 609, 519, 5898, 543, 535, 8172, 269, 769, 476, 1960, 276, 267, 606, 9542, 7260, 6429, 281, 476, 1704, 628, 2540, 536, 10667, 267, 1287, 513, 1625, 11939, 11175, 799, 538, 513, 3677, 4605, 5540, 513, 2898, 2486, 538, 519, 25243, 4484, 11783, 1261, 10645, 538, 513, 4484, 547, 519, 546, 23775, 6640, 3377, 602, 519, 1433, 729, 711, 5921, 547, 513, 476, 1704, 628, 10601, 3352, 880, 1625, 11939, 2820, 1149, 1223, 581, 602, 5730, 1256, 950, 789, 269, 0, 16240, 2500, 31047, 1390, 5830, 917, 602, 2500, 543, 18363, 3594, 2253, 609, 606, 4277, 543, 2502, 4367, 602, 8761, 741, 5098, 269, 589, 5929, 3898, 585, 15885, 568, 519, 2947, 24733, 4588, 1557, 621, 568, 711, 519, 1152, 3898, 585, 1603, 606, 1557, 267, 540, 1576, 4367, 281, 2606, 5037, 269, 634, 1557, 4367, 568, 519, 5467, 5889, 23717, 338, 7450, 883, 519, 3561, 649, 2907, 917, 602, 519, 4367, 1058, 1847, 689, 519, 2489, 547, 1808, 269, 634, 4367, 547, 606, 1557, 267, 16153, 339, 766, 610, 1022, 824, 1957, 949, 1152, 581, 835, 5037, 267, 855, 621, 11438, 513, 2603, 540, 2597, 606, 4367, 568, 5921, 547, 2721, 519, 5467, 538, 269, 1703, 616, 6402, 547, 1082, 1434, 3594, 543, 1557, 1344, 1934, 596, 666, 849, 24440, 519, 8360, 1412, 1345, 10784, 3174, 1557, 262, 585, 811, 2093, 269, 2659, 1557, 19330, 1152, 1079, 9433, 1631, 281, 519, 4367, 543, 519, 3932, 891, 9433, 786, 2285, 519, 5467, 513, 1448, 540, 7127, 547, 543, 513, 1448, 540, 14827, 689, 707, 563, 2304, 1557, 4367, 1383, 952, 596, 616, 1869, 18516, 827, 707, 4367, 267, 938, 1557, 15769, 1131, 2648, 547, 596, 2811, 1603, 606, 1557, 267, 543, 596, 1616, 513, 1434, 269, 901, 30453, 6941, 519, 3252, 540, 31047, 707, 3003, 1557, 786, 581, 513, 3210, 547, 713, 2243, 596, 4440, 723, 513, 1434, 4367, 269, 18833, 875, 547, 2328, 606, 4367, 568, 2943, 1776, 851, 540, 519, 513, 1434, 4367, 6941, 875, 596, 1611, 547, 713, 1223, 1118, 909, 606, 3003, 1557, 538, 269, 2296, 1557, 31047, 281, 3181, 6064, 532, 20887, 7282, 5098, 13307, 1281, 606, 513, 266, 1557, 4367, 602, 513, 1434, 4367, 1058, 581, 5722, 563, 2791, 1631, 917, 875, 547, 2328, 519, 1560, 540, 606, 12819, 1557, 538, 519, 1985, 1079, 6810, 540, 713, 1770, 596, 786, 1451, 875, 547, 2328, 606, 4367, 543, 513, 3932, 269, 1215, 547, 2328, 513, 1434, 4367, 789, 616, 811, 2693, 547, 581, 7722, 538, 519, 1964, 540, 519, 1557, 10416, 267, 513, 1434, 4367, 2488, 519, 1603, 4099, 693, 20444, 340, 269, 4828, 2497, 1419, 5526, 693, 519, 4098, 540, 519, 1557, 267, 1063, 519, 4367, 543, 519, 1101, 1259, 602, 519, 7206, 1114, 28179, 1063, 1434, 543, 563, 3086, 707, 5467, 568, 24584, 547, 1224, 606, 1557, 593, 16906, 8799, 519, 3105, 3732, 4367, 3568, 513, 2489, 4845, 693, 519, 4098, 602, 269, 634, 2606, 5037, 630, 663, 689, 1557, 547, 1557, 1070, 1434, 2854, 607, 952, 621, 941, 519, 1101, 3296, 540, 513, 6101, 7291, 540, 519, 3003, 1557, 281, 1775, 281, 4367, 269, 6258, 875, 547, 2328, 513, 2178, 1557, 4367, 609, 7840, 689, 6280, 540, 29827, 1633, 6280, 2852, 781, 2500, 1603, 4099, 269, 0, 21008, 532, 22344, 640, 543, 28991, 22344, 640, 543, 28991, 616, 519, 621, 568, 1271, 602, 649, 5431, 519, 1713, 3604, 1063, 22344, 640, 543, 28991, 269, 634, 3604, 543, 10486, 1063, 22344, 640, 543, 28991, 476, 4792, 278, 1913, 1923, 476, 274, 3817, 849, 8078, 730, 547, 3068, 803, 17433, 267, 519, 1660, 3916, 13411, 2244, 267, 2947, 2053, 3232, 543, 2161, 269, 1280, 5301, 540, 713, 5618, 2079, 267, 621, 786, 581, 7543, 547, 1592, 782, 540, 519, 2081, 538, 799, 891, 1079, 1158, 10764, 11604, 835, 1776, 3079, 267, 519, 3483, 269, 3778, 824, 3594, 281, 5635, 543, 4334, 28991, 543, 713, 1557, 5635, 543, 4334, 28991, 543, 22344, 640, 543, 543, 741, 3604, 538, 7269, 1063, 519, 269, 634, 1614, 10764, 267, 28991, 267, 22344, 640, 267, 543, 4140, 15308, 723, 1082, 10486, 543, 3604, 602, 723, 5280, 8032, 1142, 4984, 883, 1018, 621, 568, 2221, 563, 5649, 5635, 543, 4334, 28991, 543, 22344, 640, 1863, 1557, 543, 936, 476, 6434, 267, 1822, 824, 1382, 6054, 5635, 543, 4334, 28991, 543, 22344, 640, 22344, 640, 543, 269, 14424, 543, 4334, 4140, 15308, 267, 22344, 640, 543, 28991, 519, 1614, 10764, 723, 1713, 10486, 543, 3604, 4843, 519, 2688, 1557, 2533, 269, 589, 2462, 3017, 1063, 22344, 640, 543, 28991, 1082, 13171, 2103, 3100, 547, 1589, 602, 519, 2462, 3017, 1063, 22344, 640, 543, 1312, 28991, 543, 22344, 640, 269, 24951, 543, 17804, 22344, 640, 543, 28991, 4367, 827, 519, 10764, 2933, 23032, 3095, 4367, 281, 4140, 15308, 267, 22344, 640, 267, 543, 28991, 616, 563, 2252, 1022, 2694, 540, 519, 1957, 3100, 30149, 9490, 267, 621, 568, 513, 1267, 540, 2262, 12304, 781, 1187, 5652, 11249, 9236, 22344, 640, 543, 28991, 968, 527, 269, 8567, 8957, 28991, 6476, 5750, 972, 616, 1082, 10486, 1063, 741, 8747, 540, 519, 3284, 5914, 2988, 572, 607, 1134, 22344, 640, 5288, 28991, 269, 15873, 6029, 2101, 10486, 543, 3604, 1063, 22344, 640, 543, 28991, 267, 519, 824, 2101, 1158, 4984, 6766, 676, 4140, 15308, 2882, 5618, 4367, 563, 22146, 267, 28991, 267, 543, 4140, 15308, 543, 28991, 3594, 910, 10486, 543, 3604, 1063, 972, 616, 513, 2603, 540, 10486, 538, 3494, 1063, 22344, 640, 267, 28991, 269, 5637, 22344, 640, 543, 28991, 616, 1360, 2647, 6236, 519, 10486, 543, 519, 3604, 1063, 28991, 543, 22344, 640, 519, 10486, 1063, 519, 1079, 563, 13436, 885, 543, 3604, 1063, 22344, 640, 267, 4140, 15308, 543, 28991, 972, 616, 1082, 10486, 543, 3604, 1063, 4140, 15308, 267, 22344, 640, 543, 28991, 269, 1323, 1557, 610, 1957, 593, 3604, 1063, 4140, 15308, 267, 22344, 640, 543, 28991, 6476, 543, 4334, 540, 519, 2596, 2093, 540, 281, 2221, 781, 3909, 4978, 267, 22257, 269, 18948, 1063, 22344, 640, 543, 28991, 4984, 543, 18381, 1382, 1957, 269, 17949, 519, 1390, 5635, 543, 4334, 1557, 3732, 593, 519, 4140, 15308, 543, 22344, 640, 602, 5635, 543, 4334, 4140, 15308, 543, 22344, 640, 538, 6476, 563, 1103, 519, 1957, 968, 18528, 3720, 543, 10486, 1063, 22344, 640, 543, 28991, 892, 519, 2278, 13290, 547, 1174, 519, 2934, 540, 891, 1079, 10764, 269, 24619, 540, 28991, 543, 22344, 640, 910, 609, 513, 1863, 1557, 2689, 21189, 3135, 4786, 1863, 1557, 8039, 543, 1210, 519, 6476, 607, 851, 540, 519, 2626, 547, 602, 2243, 269, 0, 2304, 4367, 547, 519, 1686, 540, 4154, 19060, 454, 301, 710, 2395, 1354, 519, 23891, 4231, 476, 1428, 267, 476, 7277, 279, 19142, 540, 519, 14097, 540, 1368, 611, 2728, 701, 554, 10537, 2998, 267, 855, 7164, 547, 519, 1129, 619, 540, 602, 6876, 267, 4154, 729, 4362, 538, 519, 9087, 1054, 1571, 540, 519, 521, 20346, 683, 341, 3385, 269, 634, 18073, 1633, 9754, 540, 1608, 4727, 814, 2813, 513, 5691, 15224, 547, 519, 1608, 4727, 4154, 19060, 538, 519, 19421, 540, 4930, 827, 1608, 4727, 1686, 543, 519, 1004, 945, 269, 4985, 547, 519, 1286, 756, 5622, 4154, 19060, 4282, 3040, 606, 10137, 540, 519, 4154, 19060, 538, 519, 9992, 6471, 666, 27267, 689, 476, 6977, 279, 547, 476, 5908, 271, 3040, 1101, 2101, 1265, 540, 4154, 7018, 693, 7504, 12187, 538, 4832, 476, 6977, 280, 563, 20524, 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 ]
[ 7258, 5883, 10820, 269, 1809, 1256, 9624, 713, 7805, 3356, 4369, 267, 2549, 2670, 17019, 29886, 28639, 267, 3226, 4724, 9038, 27109, 32616, 1227, 21522, 5615, 780, 2026, 519, 3141, 1305, 267, 16213, 28608, 20224, 2066, 519, 4055, 267, 519, 14415, 564, 8593, 14980, 267, 10452, 593, 1018, 789, 4121, 269, 3962, 7691, 602, 5103, 1978, 11636, 3344, 267, 1169, 2486, 12066, 1194, 609, 1620, 543, 16561, 4763, 538, 4008, 4082, 543, 3961, 780, 1607, 20185, 3366, 873, 547, 31739, 2081, 547, 6536, 3152, 13784, 1394, 1753, 269, 27837, 676, 774, 26515, 781, 9661, 540, 5259, 21847, 267, 789, 4956, 547, 10891, 19831, 6575, 2866, 7886, 1930, 547, 4896, 5461, 267, 23304, 8973, 22573, 18765, 540, 1412, 5443, 781, 960, 8339, 8490, 593, 9710, 639, 262, 1702, 540, 26060, 1079, 1606, 2869, 1080, 267, 789, 15748, 19929, 8716, 7391, 1472, 9867, 4008, 7215, 269, 4804, 689, 594, 5142, 262, 2272, 540, 29752, 30280, 267, 789, 3323, 21936, 532, 2199, 3401, 585, 3656, 20038, 1996, 7130, 1759, 593, 4008, 3961, 543, 6881, 269, 14936, 267, 5373, 8404, 689, 2549, 2670, 262, 26841, 540, 7059, 12242, 885, 267, 789, 23647, 8840, 1863, 689, 25516, 8847, 540, 27828, 543, 8706, 6541, 780, 4913, 267, 1689, 7012, 1405, 2653, 269, 2368, 5706, 539, 267, 31604, 540, 519, 7164, 269, 1703, 941, 12699, 9840, 267, 10413, 4606, 267, 543, 2269, 1441, 3347, 269, 12846, 267, 938, 2185, 12325, 11542, 6109, 267, 11461, 676, 3741, 540, 14619, 267, 8296, 267, 543, 16177, 269, 3683, 942, 267, 8456, 17146, 267, 23344, 7444, 269, 2859, 11932, 267, 519, 2146, 2968, 21950, 1813, 547, 3376, 2989, 20030, 543, 16012, 23274, 1851, 922, 2818, 780, 1103, 519, 1439, 267, 713, 3460, 6026, 3025, 3407, 4245, 827, 6568, 267, 5683, 2932, 267, 543, 2500, 4655, 6571, 269, 4107, 3648, 267, 5310, 267, 729, 519, 12576, 2760, 547, 1577, 6848, 4441, 27774, 1367, 5191, 543, 1582, 22325, 12544, 7326, 4502, 19551, 267, 1100, 2339, 799, 5736, 596, 4866, 547, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 29205, 596, 1683, 3140, 1806, 540, 7239, 1141, 4008, 29077, 543, 1875, 8410, 845, 640, 941, 9763, 8335, 888, 8133, 267, 1934, 616, 513, 1906, 1806, 1384, 272, 269, 9147, 10255, 281, 769, 3504, 10255, 267, 5256, 32270, 729, 7608, 543, 1256, 25343, 267, 1247, 4775, 32270, 729, 7361, 15865, 543, 2808, 9184, 5622, 269, 13834, 1875, 8410, 845, 640, 538, 2367, 729, 849, 811, 7608, 267, 609, 930, 5256, 4961, 1256, 3444, 1673, 7675, 585, 15976, 780, 273, 269, 7111, 1977, 7239, 281, 3509, 7111, 1977, 7239, 1185, 811, 982, 1079, 4008, 6688, 267, 609, 2043, 945, 4857, 607, 1079, 1606, 2869, 527, 610, 824, 1875, 1532, 2435, 9163, 1373, 12595, 585, 741, 2189, 5380, 543, 1983, 780, 274, 269, 16972, 4789, 281, 769, 16972, 4789, 267, 7453, 4008, 5107, 941, 24451, 267, 609, 2021, 4397, 547, 581, 12809, 543, 22347, 1170, 633, 543, 2367, 4397, 547, 581, 8789, 543, 10728, 269, 7102, 11539, 689, 891, 6788, 729, 2938, 607, 17116, 547, 519, 1514, 1931, 780, 275, 269, 9147, 5527, 281, 769, 3504, 5527, 267, 4008, 5107, 941, 811, 5714, 267, 609, 2021, 1419, 3180, 514, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 3848, 476, 272, 281, 634, 26758, 26335, 585, 2659, 19565, 11831, 5124, 692, 296, 269, 4985, 692, 30761, 533, 2814, 976, 616, 4241, 7068, 602, 666, 1118, 1390, 10130, 585, 16277, 850, 12439, 269, 1717, 267, 2870, 519, 3501, 1604, 585, 873, 3340, 6297, 7156, 540, 1585, 2188, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1883, 2609, 540, 8888, 606, 6099, 17512, 10740, 585, 11174, 3440, 533, 2814, 976, 267, 1519, 2450, 267, 14910, 267, 2326, 267, 543, 1898, 2934, 971, 607, 15720, 9634, 543, 16246, 7252, 269, 1635, 1620, 891, 2565, 3334, 267, 596, 786, 581, 1134, 25668, 5792, 547, 1711, 513, 2922, 543, 18398, 1753, 585, 707, 1007, 26987, 13959, 780, 2862, 269, 19805, 519, 9406, 12025, 6833, 337, 10740, 692, 288, 269, 4208, 2450, 6927, 454, 30761, 533, 2814, 976, 616, 10859, 268, 16808, 648, 531, 15315, 267, 2495, 789, 6108, 942, 1312, 593, 519, 2666, 543, 538, 4054, 269, 1306, 513, 1267, 267, 3246, 15792, 2230, 585, 707, 11174, 3440, 9226, 547, 2263, 543, 3635, 568, 4105, 585, 922, 2949, 1072, 543, 8171, 269, 1323, 26456, 602, 568, 1932, 1507, 949, 1291, 547, 2566, 267, 4389, 14031, 267, 543, 8519, 2534, 2157, 269, 17957, 267, 513, 3677, 17512, 10740, 2636, 707, 13131, 547, 4497, 538, 811, 2067, 5615, 543, 8992, 2635, 2208, 780, 289, 269, 29358, 2450, 7840, 454, 2690, 11174, 3440, 533, 2814, 976, 267, 513, 17512, 10740, 7893, 693, 2547, 476, 3607, 6279, 1279, 267, 476, 1240, 6279, 2647, 267, 543, 476, 1321, 6279, 7381, 568, 5227, 269, 901, 2488, 6190, 4055, 585, 707, 13131, 547, 12701, 856, 543, 18214, 1247, 3850, 596, 547, 2226, 3617, 2837, 543, 11195, 27080, 1369, 519, 26456, 269, 5901, 538, 2247, 602, 607, 707, 3440, 9226, 9428, 267, 596, 949, 991, 547, 22010, 547, 513, 3677, 17512, 10740, 547, 13918, 922, 2799, 2450, 780, 7656, 269, 23496, 7743, 20764, 7976, 692, 288, 269, 634, 1909, 540, 14910, 454, 19187, 14910, 4249, 513, 2629, 1909, 538, 4509, 5078, 25312, 543, 11195, 2157, 1369, 707, 3440, 9226, 781, 17512, 10740, 269, 29615, 12930, 2011, 10009, 2337, 2061, 9044, 2208, 267, 9190, 19221, 267, 543, 7929, 2152, 538, 707, 13131, 269, 5015, 267, 9013, 11195, 5849, 707, 13131, 666, 8774, 5265, 543, 15387, 1434, 20697, 780, 289, 269, 9537, 540, 14910, 1949, 454, 2467, 616, 1079, 3119, 2010, 540, 14910, 1949, 585, 16277, 850, 17512, 926, 4548, 281, 5496, 25568, 543, 4395, 1922, 5217, 642, 757, 269, 24897, 25568, 2709, 5140, 25312, 855, 949, 1450, 4430, 7509, 547, 9101, 267, 8506, 7928, 5134, 532, 269, 13571, 1922, 5217, 642, 757, 267, 593, 519, 824, 1688, 267, 1683, 7059, 25312, 543, 11195, 12802, 267, 1818, 873, 606, 10694, 3903, 585, 1082, 3440, 9226, 1832, 619, 269, 1879, 8939, 513, 14910, 1062, 267, 2015, 707, 2199, 2916, 267, 607, 1134, 607, 707, 2702, 547, 9846, 6895, 543, 4188, 2825, 2175, 1369, 519, 26456, 780, 4353, 269, 29922, 30785, 10049, 692, 288, 269, 667, 13701, 543, 3106, 454, 763, 1570, 6074, 585, 707, 17512, 10740, 1058, 581, 14463, 267, 1875, 3562, 13877, 267, 543, 2111, 547, 16641, 3232, 7738, 543, 5826, 269, 5871, 3681, 1331, 4837, 267, 28778, 267, 543, 5068, 269, 19371, 13688, 4043, 547, 11677, 3002, 1732, 982, 28778, 610, 5068, 267, 855, 789, 949, 849, 581, 18219, 543, 12155, 547, 2736, 720, 269, 3600, 23359, 543, 5068, 11700, 17007, 616, 14402, 543, 1447, 2693, 547, 695, 2660, 282, 2705, 267, 789, 949, 15072, 3362, 543, 2154, 811, 7928, 10682, 780, 289, 269, 6184, 1637, 3601, 454, 11900, 1637, 568, 1776, 2565, 3815, 950, 7446, 513, 1570, 585, 707, 3440, 9226, 781, 17512, 10740, 269, 13229, 13471, 2337, 2226, 5812, 2837, 27080, 2429, 519, 26456, 267, 4227, 519, 1981, 540, 4411, 9634, 602, 1223, 11874, 1764, 707, 13131, 781, 1072, 269, 6333, 10115, 538, 513, 27687, 520, 543, 3289, 668, 2678, 547, 8308, 6895, 543, 10038, 2837, 543, 11195, 1369, 519, 26456, 780, 309, 269, 12708, 17972, 585, 670, 4575, 543, 29725, 6883, 692, 288, 269, 21278, 15720, 9634, 454, 295, 4575, 9634, 4196, 2789, 5301, 538, 513, 3440, 9226, 781, 17512, 10740, 269, 1358, 2709, 3354, 267, 2569, 2566, 267, 543, 3895, 2067, 3276, 8089, 2623, 269, 9255, 693, 2547, 1079, 12404, 10833, 538, 519, 26456, 1765, 821, 593, 519, 3636, 2427, 543, 835, 593, 519, 16830, 2427, 23121, 5000, 707, 13131, 547, 8415, 1114, 2127, 540, 519, 7382, 543, 2226, 3617, 1560, 5210, 780, 289, 269, 12861, 16246, 3255, 454, 2026, 10859, 268, 16808, 648, 531, 2831, 267, 3440, 533, 2814, 976, 4324, 689, 2348, 16246, 3889, 538, 741, 17512, 10740, 269, 17006, 8371, 267, 524, 1251, 13626, 13740, 267, 610, 5841, 2371, 3091, 707, 13131, 7299, 5624, 547, 2263, 267, 10597, 4887, 3159, 267, 543, 7512, 2067, 10122, 26756, 269, 2142, 2386, 1022, 3773, 23598, 616, 18172, 3728, 2989, 543, 798, 711, 10460, 513, 1981, 540, 5945, 547, 707, 13131, 780, 9654, 269, 16952, 7457, 1559, 543, 8232, 21474, 692, 288, 269, 4675, 11915, 8654, 454, 4407, 3440, 533, 2814, 976, 798, 711, 2154, 11158, 289, 1769, 899, 930, 824, 20641, 267, 3246, 24045, 8654, 666, 3986, 3308, 9029, 543, 3565, 547, 707, 13131, 781, 2949, 8171, 269, 7994, 10896, 8279, 2966, 4481, 585, 16277, 850, 946, 267, 4180, 789, 12520, 8766, 3002, 547, 2057, 27200, 2837, 27080, 780, 289, 269, 24344, 25437, 454, 292, 2675, 1901, 6604, 568, 14063, 950, 8027, 3440, 533, 2814, 976, 269, 7767, 538, 513, 17512, 10740, 9280, 609, 1327, 6362, 6127, 547, 2327, 707, 13131, 3112, 18417, 1930, 519, 7450, 543, 9101, 269, 17115, 2638, 519, 8699, 540, 519, 25437, 543, 5372, 12816, 610, 8697, 2694, 16425, 780, 290, 269, 29740, 2987, 8957, 5007, 14910, 1949, 454, 13706, 2436, 513, 17512, 10740, 609, 513, 3710, 2987, 14910, 1062, 568, 30074, 547, 11449, 5094, 14910, 17960, 269, 2755, 3710, 2987, 1949, 1419, 1942, 811, 909, 12506, 267, 789, 9004, 519, 991, 585, 3606, 24723, 543, 14458, 10380, 269, 24498, 14910, 3435, 267, 29285, 267, 2709, 3152, 8112, 543, 29356, 267, 855, 949, 2154, 811, 4674, 543, 6791, 547, 3888, 7157, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2252, 596, 2461, 3168, 585, 519, 1655, 17512, 10740, 585, 707, 3440, 9226, 267, 621, 779, 1271, 547, 2015, 1896, 2188, 1354, 1818, 513, 6718, 269, 3689, 267, 596, 3513, 1616, 547, 2015, 519, 2450, 540, 519, 17512, 10740, 269, 11831, 533, 2814, 976, 2154, 513, 838, 20160, 26456, 547, 1847, 1472, 20354, 543, 18082, 741, 2067, 7226, 269, 8921, 267, 14910, 568, 2629, 585, 4509, 1697, 25312, 543, 7303, 7050, 11195, 2157, 269, 3958, 267, 519, 1826, 540, 1570, 1031, 585, 519, 17512, 10740, 568, 1271, 269, 898, 1058, 581, 19756, 267, 2653, 547, 2973, 267, 543, 1683, 13471, 585, 4509, 519, 4998, 2837, 543, 11195, 2157, 563, 2691, 10918, 585, 513, 17512, 10740, 585, 707, 3440, 9226, 267, 596, 1058, 2307, 3054, 513, 1906, 1271, 2055, 269, 1772, 519, 17512, 10740, 2653, 547, 27043, 543, 2973, 286, 3657, 972, 2614, 15720, 9634, 543, 16246, 7252, 286, 6496, 621, 723, 5150, 25437, 547, 2061, 9101, 286, 1772, 972, 513, 3710, 2987, 14910, 1062, 610, 786, 596, 991, 547, 6718, 3606, 17960, 286, 1452, 2055, 786, 948, 3391, 596, 2509, 519, 1655, 17512, 10740, 4781, 585, 586, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 12292, 1315, 1234, 696, 3796, 1299, 2549, 874, 756, 2103, 1315, 10965, 1389, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 5767, 7045, 910, 3695, 519, 4190, 9174, 4525, 540, 16266, 256, 1411, 1522, 4898, 1946, 649, 2811, 6158, 827, 9174, 950, 596, 2811, 1869, 538, 1647, 1153, 269, 4270, 267, 621, 781, 711, 1175, 827, 6704, 282, 3094, 655, 1136, 568, 513, 4241, 1184, 5473, 8105, 267, 2257, 267, 1686, 267, 543, 2528, 269, 9578, 267, 945, 9327, 1405, 2648, 1565, 827, 28677, 11903, 29288, 543, 8949, 18683, 286, 1924, 1577, 781, 7832, 593, 713, 3460, 1927, 2439, 5575, 1055, 267, 1141, 4010, 568, 16266, 534, 29879, 13474, 286, 5994, 5373, 513, 1279, 1899, 1524, 519, 7262, 5032, 540, 3162, 3013, 1107, 602, 2960, 5500, 14816, 554, 19982, 519, 7414, 7909 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15203, 949, 5000, 9381, 552, 583, 5268, 1709, 610, 6175, 3119, 2504, 609, 2417, 4539, 585, 519, 1426, 1357, 543, 3327, 4859, 4586, 2005, 568, 10423, 538, 519, 1239, 602, 972, 616, 1079, 13421, 8204, 519, 16726, 540, 519, 1019, 520, 558, 2950, 1063, 1142, 2126, 269, 1703, 616, 10486, 1063, 519, 595, 269, 2019, 583, 1807, 2126, 543, 519, 16924, 2389, 7875, 730, 2126, 267, 543, 1287, 10486, 1063, 519, 670, 269, 4129, 545, 565, 528, 267, 6404, 543, 12463, 289, 5574, 269, 634, 1101, 540, 891, 2516, 1185, 519, 5207, 4763, 269, 7025, 2175, 971, 607, 1769, 267, 8770, 8244, 543, 1979, 582, 7875, 566, 723, 513, 2178, 1198, 593, 1019, 520, 558, 2950, 1547, 634, 1114, 1979, 582, 7875, 566, 6127, 616, 4929, 7648, 538, 519, 2146, 15885, 540, 1609, 340, 25978, 1019, 520, 1682, 538, 713, 1353, 267, 609, 8514, 7190, 269, 634, 4527, 540, 1114, 1979, 582, 7875, 2209, 568, 19249, 519, 2825, 2175, 799, 568, 13604, 4929, 891, 4767, 10593, 538, 519, 2146, 269, 1306, 5018, 267, 519, 16924, 2389, 7875, 730, 2126, 543, 595, 269, 2019, 583, 1807, 2126, 723, 519, 5207, 16726, 1063, 1019, 520, 558, 2950, 269, 1452, 5574, 723, 513, 16113, 2362, 8514, 7190, 799, 2188, 883, 519, 3017, 1813, 547, 519, 4389, 1769, 8244, 269, 1306, 6337, 24678, 7103, 267, 1769, 8244, 568, 2047, 5532, 547, 519, 1967, 540, 1019, 520, 558, 2950, 563, 301, 6308, 338, 577, 807, 561, 2801, 6665, 729, 519, 1034, 9565, 2249, 538, 19459, 2126, 2516, 269, 898, 568, 513, 27031, 267, 2138, 850, 1019, 520, 558, 2249, 799, 666, 7639, 10792, 2175, 971, 607, 1164, 2157, 540, 5533, 543, 621, 814, 1256, 1044, 3254, 547, 1332, 538, 519, 2347, 9000, 540, 1769, 1547, 4475, 267, 621, 1223, 581, 10924, 602, 972, 1131, 581, 513, 1164, 6668, 540, 713, 2249, 2066, 782, 5574, 269, 1717, 267, 538, 713, 1353, 621, 5526, 602, 713, 2249, 17388, 547, 11883, 609, 519, 1164, 8514, 7190, 267, 8754, 519, 5786, 538, 922, 4527, 538, 1312, 519, 8261, 8514, 566, 543, 595, 269, 2019, 583, 1807, 5574, 269, 715, 6308, 338, 577, 807, 561, 2801, 6665, 5526, 547, 581, 513, 2178, 2841, 3218, 538, 519, 5574, 609, 2539, 8514, 7190, 630, 6573, 289, 267, 670, 269, 4129, 545, 565, 528, 267, 543, 6404, 1070, 3254, 676, 922, 1164, 3448, 11606, 269, 634, 5786, 540, 713, 2249, 538, 519, 8514, 573, 5574, 568, 2693, 5532, 547, 519, 2362, 4763, 1336, 1934, 269, 634, 3668, 540, 713, 8789, 2249, 2636, 1114, 2249, 547, 8853, 563, 763, 28060, 513, 1543, 540, 21439, 666, 581, 1031, 547, 2099, 519, 13947, 540, 2890, 874, 12682, 984, 5460, 657, 538, 1142, 2126, 269, 634, 1034, 3811, 1019, 520, 558, 2551, 538, 2165, 540, 13947, 729, 519, 12463, 289, 2126, 267, 9583, 1813, 547, 519, 3668, 540, 19717, 9648, 538, 713, 8544, 665, 657, 332, 269, 634, 6967, 5574, 8659, 513, 2147, 2179, 540, 28060, 609, 519, 9868, 540, 595, 269, 2019, 583, 1807, 799, 729, 1063, 519, 12463, 289, 543, 6967, 5574, 267, 11021, 519, 4999, 540, 1979, 582, 7875, 566, 543, 6915, 597, 3419, 566, 729, 6225, 547, 1019, 520, 558, 5095, 998, 519, 2799, 15203, 540, 5567, 267, 4481, 715, 6308, 577, 807, 804, 8803, 1756, 799, 4278, 1882, 538, 713, 2126, 563, 289, 17424, 4763, 729, 8947, 693, 1114, 11159, 17909, 267, 2094, 519, 3310, 540, 5117, 8030, 630, 321, 3999, 7875, 566, 543, 6915, 597, 3419, 566, 264, 568, 4756, 609, 3178, 543, 12550, 17304, 26915, 2249, 3961, 267, 607, 7152, 538, 519, 2699, 2135, 12632, 269, 634, 9190, 2146, 5888, 2066, 782, 8544, 665, 657, 916, 729, 2147, 547, 1346, 5892, 4080, 998, 519, 946, 540, 715, 14899, 2553, 593, 954, 339, 10537, 21439, 6394, 693, 513, 2147, 3178, 689, 513, 32321, 2673, 1609, 4231, 538, 10430, 2073, 543, 954, 339, 10537, 16095, 29788, 5439, 689, 631, 13873, 5886, 14114, 331, 2946, 1258, 7345, 538, 7262, 5333, 1547, 7316, 267, 13974, 547, 519, 2164, 4843, 1934, 267, 972, 729, 513, 28735, 676, 26287, 27627, 630, 335, 1042, 11395, 569, 717, 2459, 777, 4710, 27627, 267, 667, 3881, 777, 4710, 27627, 543, 1325, 874, 777, 4710, 27627, 1070, 543, 645, 1461, 1355, 26347, 563, 289, 17424, 2146, 5888, 4767, 538, 713, 1353, 729, 811, 4756, 693, 519, 11159, 2627, 543, 9141, 15866, 676, 936, 2391, 1216, 8514, 7190, 543, 9938, 625, 585, 6915, 28291, 2504, 269, 18877, 941, 811, 2147, 609, 606, 2333, 538, 11159, 3178, 267, 12633, 908, 609, 513, 6175, 538, 2699, 2135, 1761, 543, 15702, 5135, 9830, 269, 7991, 1558, 10402, 727, 1599, 849, 4553, 713, 7678, 267, 609, 26103, 8770, 268, 19464, 11444, 811, 10731, 538, 1016, 1606, 16577, 543, 1875, 2389, 7875, 730, 21439, 269, 645, 17424, 4763, 729, 2539, 538, 2627, 21439, 267, 3056, 547, 519, 26037, 540, 519, 3448, 11606, 540, 1034, 540, 519, 11567, 1558, 10402, 727, 1599, 9648, 693, 519, 11159, 2627, 563, 289, 584, 992, 12555, 568, 1134, 1673, 29545, 547, 2333, 6491, 30826, 1673, 523, 527, 30826, 9979, 267, 2333, 13441, 540, 16139, 1756, 547, 519, 2627, 543, 936, 2391, 1216, 267, 543, 3986, 1121, 984, 16478, 540, 1082, 824, 19729, 2609, 1496, 276, 267, 476, 7906, 267, 476, 7367, 4940, 1703, 729, 1100, 936, 337, 4575, 2963, 540, 713, 538, 519, 5444, 1599, 2079, 267, 5310, 1813, 547, 519, 10386, 1505, 630, 2254, 10386, 538, 2673, 16133, 547, 519, 3276, 992, 3774, 1070, 610, 519, 29164, 1974, 729, 711, 1279, 2614, 585, 5542, 12503, 547, 11689, 1047, 693, 3178, 538, 519, 11159, 269, 1717, 267, 9190, 2950, 538, 16924, 2389, 7875, 730, 21439, 693, 476, 1428, 6515, 1185, 2147, 7039, 1734, 540, 9436, 15203, 6090, 547, 2627, 21439, 267, 11021, 602, 11159, 556, 11529, 2864, 982, 1979, 8328, 2360, 949, 581, 606, 1271, 3815, 269, 1717, 267, 519, 11606, 540, 519, 993, 334, 288, 5444, 630, 4488, 281, 476, 2420, 269, 20969, 269, 14378, 269, 14862, 1070, 519, 1101, 3942, 538, 6491, 30826, 630, 2459, 28016, 547, 18038, 2643, 8533, 264, 729, 2539, 538, 2627, 21439, 5574, 1510, 1102, 320, 10044, 563, 16446, 2135, 30372, 941, 2539, 538, 21439, 1141, 972, 729, 1100, 8514, 566, 269, 901, 3769, 7449, 16577, 12463, 289, 21439, 267, 543, 849, 8261, 8514, 566, 693, 476, 3393, 6515, 269, 19837, 574, 559, 2218, 23253, 5786, 630, 4488, 281, 476, 14695, 269, 9834, 269, 3607, 269, 1960, 264, 729, 2362, 538, 891, 21439, 267, 12633, 908, 609, 606, 2333, 538, 519, 5548, 520, 777, 4710, 27627, 267, 799, 3568, 1082, 26103, 23253, 543, 16247, 4227, 4551, 269, 634, 9000, 540, 1979, 582, 7875, 566, 4847, 513, 7123, 606, 16464, 7997, 267, 543, 519, 1646, 540, 811, 2942, 2699, 2135, 2175, 799, 2636, 3152, 3448, 11606, 540, 891, 4551, 269, 634, 6198, 4390, 585, 4744, 574, 559, 2218, 24277, 5786, 547, 16139, 1756, 630, 291, 301, 6938, 264, 729, 1454, 2362, 538, 12463, 289, 2627, 21439, 982, 1022, 824, 5574, 269, 634, 2956, 540, 713, 13374, 538, 1609, 340, 25978, 9436, 9979, 814, 5063, 1831, 811, 1483, 2213, 543, 519, 12136, 540, 667, 301, 6938, 4551, 723, 1044, 7152, 547, 581, 3810, 26945, 1547, 4475, 267, 971, 13260, 538, 667, 301, 6938, 4551, 538, 3210, 547, 21737, 2604, 538, 713, 1353, 568, 540, 1390, 1719, 269, 667, 301, 6938, 568, 606, 26103, 1184, 267, 543, 519, 5266, 1970, 5135, 538, 519, 12463, 289, 5574, 1813, 547, 3668, 540, 6915, 597, 3419, 566, 949, 723, 8507, 538, 606, 2333, 538, 519, 3448, 11606, 540, 4551, 609, 667, 301, 6938, 4390, 563, 2467, 729, 513, 2362, 6198, 4390, 4767, 585, 1082, 10566, 2338, 538, 519, 2627, 21439, 3379, 547, 519, 7449, 16577, 269, 901, 568, 5310, 9670, 6236, 972, 729, 513, 2539, 6789, 309, 17381, 543, 4763, 593, 519, 11159, 2627, 982, 519, 7449, 16577, 267, 543, 609, 2539, 17381, 543, 4763, 267, 2539, 6198, 4390, 1131, 581, 4397, 563, 10907, 564, 14003, 630, 4488, 281, 476, 6642, 269, 279, 269, 14530, 269, 7367, 267, 674, 8025, 12396, 264, 729, 6825, 569, 2362, 538, 670, 269, 4129, 545, 565, 528, 21439, 982, 824, 5574, 693, 1169, 3178, 269, 3600, 564, 14003, 568, 606, 1271, 3942, 538, 519, 3327, 4783, 607, 621, 7494, 20489, 2504, 540, 15655, 543, 568, 6059, 547, 3132, 476, 6200, 274, 4846, 540, 21449, 622, 630, 1721, 2417, 10307, 264, 12422, 538, 26103, 5054, 11451, 1547, 634, 11495, 2333, 538, 21449, 14003, 538, 670, 269, 4129, 545, 565, 528, 543, 12463, 289, 5574, 267, 593, 519, 11159, 2627, 267, 1705, 711, 3100, 547, 30136, 609, 1022, 11159, 3252, 6027, 538, 713, 1353, 267, 4061, 621, 949, 581, 2404, 609, 1808, 608, 644, 725, 540, 670, 269, 4129, 545, 565, 528, 267, 971, 607, 741, 22024, 8023, 3103, 602, 8831, 998, 741, 26847, 543, 2066, 519, 11159, 2627, 269, 12463, 289, 661, 4916, 267, 799, 568, 3812, 538, 1931, 547, 24644, 21439, 267, 949, 723, 6766, 713, 538, 513, 2147, 6073, 563, 289, 22160, 609, 519, 1761, 547, 3351, 1047, 669, 527, 514, 630, 4488, 281, 476, 7277, 269, 10482, 269, 2412, 269, 18684, 264, 941, 811, 10731, 538, 595, 269, 2019, 583, 1807, 5574, 267, 27229, 3854, 2358, 593, 544, 9567, 1540, 608, 18929, 30416, 540, 519, 16822, 760, 617, 269, 1703, 729, 513, 2539, 11606, 540, 519, 5444, 538, 519, 6404, 2126, 267, 799, 5267, 513, 1761, 6735, 585, 669, 527, 514, 607, 513, 2048, 25988, 685, 2707, 1063, 519, 25094, 27701, 540, 670, 269, 4129, 545, 565, 528, 585, 544, 9567, 1540, 608, 18929, 30416, 543, 585, 4551, 269, 661, 4916, 2504, 543, 12159, 941, 1312, 693, 741, 5207, 693, 519, 11159, 2627, 269, 7261, 534, 27627, 616, 513, 1713, 8167, 540, 12463, 289, 6915, 16344, 916, 267, 543, 3565, 547, 519, 661, 4916, 5119, 269, 634, 11606, 540, 4551, 2111, 547, 31358, 661, 4916, 8711, 519, 2956, 540, 661, 4916, 607, 513, 3327, 2707, 585, 15451, 1949, 1369, 21439, 267, 543, 849, 519, 15451, 1909, 538, 11159, 3327, 15203, 4586, 1103, 3932, 267, 713, 1353, 9727, 20849, 5117, 4702, 4093, 1063, 12550, 17304, 10044, 543, 3119, 12696, 267, 538, 713, 2013, 12463, 289, 269, 5015, 267, 649, 1683, 2178, 2963, 540, 4028, 1689, 538, 954, 339, 10537, 15451, 2146, 5888, 543, 1599, 538, 3210, 547, 5117, 4702, 676, 536, 5460, 545, 12550, 17304, 10044, 269, 901, 8761, 519, 13438, 540, 15451, 10307, 267, 607, 513, 21285, 585, 1883, 5117, 3252, 543, 2533, 267, 547, 2242, 538, 12550, 17304, 26915, 31174, 1137, 543, 9727, 741, 2956, 540, 5117, 8030, 547, 24569, 6198, 9381, 1949, 563, 306, 272, 8431, 269, 2561, 541, 9850, 1031, 585, 519, 8261, 8514, 566, 540, 21439, 563, 2005, 5161, 540, 606, 28778, 3490, 630, 2412, 6515, 8700, 267, 476, 5197, 6515, 3259, 267, 476, 277, 6515, 3178, 264, 6378, 547, 519, 2212, 540, 606, 631, 279, 476, 1220, 6515, 589, 273, 16243, 5374, 4009, 8405, 31566, 30021, 1210, 606, 589, 273, 16243, 5374, 13617, 2428, 267, 609, 513, 8142, 539, 5068, 570, 11804, 548, 269, 20640, 8696, 16243, 5374, 8470, 20382, 630, 272, 269, 276, 6515, 1535, 476, 2412, 6515, 264, 616, 17332, 998, 1079, 9343, 540, 476, 272, 6515, 8700, 9475, 1743, 2683, 693, 513, 476, 4792, 4113, 5086, 689, 519, 3490, 267, 6028, 519, 20382, 16312, 24851, 10199, 476, 1789, 6515, 2630, 519, 5377, 2627, 540, 519, 3490, 269, 681, 3298, 941, 476, 736, 6515, 6306, 267, 609, 20382, 1369, 1142, 4737, 476, 736, 6515, 6306, 269, 681, 3298, 941, 15558, 676, 476, 1015, 6515, 267, 4611, 538, 513, 8930, 23892, 519, 11159, 1169, 476, 1015, 6515, 693, 476, 4792, 4113, 543, 476, 12893, 4113, 547, 513, 3178, 540, 476, 1789, 6515, 950, 5828, 998, 513, 2407, 5858, 563, 306, 273, 8431, 269, 20232, 11282, 2079, 540, 519, 12498, 4763, 540, 9190, 2146, 31174, 1137, 540, 782, 5574, 585, 7449, 16577, 21439, 693, 17909, 540, 476, 1428, 267, 476, 1789, 543, 476, 3393, 6515, 563, 302, 6113, 1588, 1310, 3044, 5314, 540, 6789, 26394, 543, 513, 22051, 1133, 604, 2350, 3845, 5119, 269, 4414, 2135, 1761, 543, 15702, 5135, 616, 6772, 4660, 607, 10321, 269, 595, 269, 642, 269, 1700, 290, 269, 2019, 583, 1807, 282, 670, 269, 546, 269, 1700, 295, 269, 4129, 545, 565, 528, 282, 24908, 1700, 300, 12089, 1102, 320, 10044, 282, 12463, 289, 1700, 19859, 874, 12682, 984, 5460, 657 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 723, 1044, 1082, 13006, 2665, 540, 15315, 609, 2789, 9843, 630, 24392, 8370, 1131, 581, 11319, 621, 1040, 634, 11841, 540, 4874, 576, 874, 3315, 538, 20641, 5526, 547, 581, 2362, 982, 538, 1022, 824, 2249, 563, 298, 3739, 519, 3289, 571, 729, 835, 540, 519, 476, 1321, 2978, 832, 540, 4173, 6047, 269, 1677, 3035, 713, 267, 646, 21821, 539, 519, 948, 540, 1010, 683, 15343, 342, 267, 945, 15891, 518, 1242, 519, 16398, 607, 4173, 6047, 2759, 1055, 519, 9843, 2394, 1152, 519, 32161, 2212, 7283, 269, 4173, 6047, 2759, 1055, 602, 835, 267, 1932, 267, 543, 12617, 621, 896, 513, 5230, 4224, 563, 5472, 519, 717, 5588, 11655, 666, 1921, 609, 519, 667, 790, 20384, 267, 789, 616, 1034, 1634, 609, 741, 7681, 609, 519, 853, 1046, 5753, 269, 1717, 621, 568, 711, 519, 9345, 540, 519, 717, 5588, 15888, 563, 763, 667, 790, 20384, 616, 8273, 538, 2450, 982, 519, 2413, 1554, 20384, 269, 1358, 5030, 538, 3013, 2394, 621, 779, 14486, 476, 1911, 876, 1296, 3516, 563, 7021, 476, 275, 267, 1822, 8093, 1242, 3788, 540, 25680, 20384, 723, 1044, 4362, 693, 519, 5487, 6601, 320, 20579, 623, 1080, 538, 11968, 13353, 269, 898, 568, 5156, 602, 789, 949, 723, 1831, 16290, 1247, 8023, 593, 519, 1286, 322, 13293, 540, 824, 1671, 333, 1563, 2831, 269, 1703, 568, 1100, 2963, 602, 606, 11549, 3626, 25680, 18896, 2479, 11478, 267, 4352, 11549, 3626, 7750, 338, 723, 1044, 4535, 538, 519, 2413, 18896, 2551, 563, 289, 14709, 6229, 814, 2097, 513, 1279, 1259, 543, 513, 3476, 1259, 547, 979, 269, 1703, 616, 1007, 8188, 4429, 29909, 476, 10384, 271, 7786, 543, 20151, 941, 21687, 689, 15740, 5521, 10740, 269, 4429, 2171, 2273, 18563, 616, 1945, 799, 616, 21173, 1547, 769, 938, 3232, 1272, 4429, 16352, 513, 24807, 593, 707, 5172, 28245, 568, 1360, 1455, 267, 855, 2261, 11538, 3267, 0, 17637, 532, 543, 11154, 532, 10495, 13088, 585, 20661, 609, 25833, 24894, 454, 12041, 281, 15537, 16176, 454, 21812, 281, 8176, 595, 7338, 21629, 454, 21574, 8175, 6363, 872, 20989, 568, 513, 10808, 7146, 1532, 565, 1206, 267, 3946, 6823, 267, 3102, 3391, 585, 1818, 12416, 3015, 547, 1453, 543, 4079, 609, 9124, 269, 4208, 12416, 286, 30765, 666, 968, 24038, 519, 4730, 2361, 892, 543, 7668, 5171, 540, 782, 6502, 269, 667, 1090, 1738, 5872, 5932, 3347, 602, 2063, 1279, 1310, 513, 2773, 568, 936, 269, 18838, 585, 12416, 3610, 267, 18883, 3401, 267, 2027, 7855, 267, 16293, 267, 543, 824, 1895, 3401, 267, 713, 1433, 6941, 538, 2241, 267, 1875, 14482, 1013, 673, 1893, 875, 547, 1118, 22581, 585, 3811, 7589, 538, 3860, 12416, 267, 27906, 5314, 267, 12470, 4479, 267, 31667, 1023, 585, 2757, 4249, 267, 543, 1646, 540, 1007, 4249, 28110, 547, 5171, 262, 9342, 269, 2920, 832, 786, 2744, 1582, 21873, 267, 2087, 741, 2792, 1983, 267, 1265, 1007, 2081, 547, 2769, 2933, 267, 543, 960, 811, 3927, 543, 21176, 609, 1866, 269, 18467, 547, 946, 12416, 607, 513, 1907, 547, 4001, 2757, 4928, 5396, 267, 971, 607, 2257, 267, 1514, 2090, 267, 543, 1893, 6575, 267, 616, 12006, 267, 607, 1134, 607, 1210, 621, 585, 6044, 538, 1514, 5872, 543, 824, 4105, 1272, 1983, 269, 3848, 476, 1321, 6212, 593, 10014, 2152, 609, 3335, 3384, 9905, 538, 12716, 543, 16351, 5468, 563, 1103, 6984, 15526, 538, 20989, 8551, 2987, 12140, 267, 28046, 267, 543, 8551, 15789, 15696, 14177, 540, 630, 4134, 264, 1464, 454, 12041, 281, 22123, 13391, 13704, 454, 21812, 281, 594, 11276, 961, 1488, 4011, 454, 4504, 18166, 12416, 547, 519, 1565, 1995, 568, 16798, 547, 10802, 513, 1126, 781, 1646, 267, 543, 568, 606, 2523, 2500, 1935, 585, 1453, 609, 2027, 3872, 2115, 267, 1519, 1346, 609, 10295, 8552, 4713, 269, 901, 4052, 25156, 3091, 3610, 606, 5044, 540, 2241, 543, 2653, 3562, 21553, 921, 618, 26974, 3740, 2553, 602, 786, 3986, 1053, 262, 1565, 543, 5000, 7499, 4082, 269, 634, 2278, 9727, 875, 10565, 1404, 3085, 1405, 723, 547, 581, 11658, 547, 12416, 4245, 543, 666, 581, 4294, 547, 513, 3309, 2039, 540, 1153, 5396, 543, 16351, 5468, 269, 1412, 763, 9741, 4414, 7009, 3299, 585, 1383, 267, 6227, 4798, 602, 616, 4143, 547, 7924, 630, 337, 1506, 2719, 543, 11733, 1070, 13004, 630, 12248, 532, 5452, 1070, 2257, 630, 29171, 1380, 532, 8105, 1070, 543, 1148, 4245, 630, 9188, 793, 532, 24853, 1040, 5153, 8386, 9912, 3992, 4566, 1491, 3610, 998, 1169, 2460, 540, 4881, 1187, 543, 2502, 1650, 5559, 553, 267, 1519, 3636, 22705, 267, 3350, 267, 8964, 543, 605, 1186, 269, 7435, 344, 4388, 2429, 2303, 2093, 585, 3384, 519, 4249, 2417, 543, 2081, 547, 3082, 873, 2687, 547, 519, 2115, 540, 519, 1895, 269, 901, 1433, 786, 581, 606, 1898, 543, 3102, 3391, 585, 4896, 5461, 538, 12416, 607, 606, 3872, 1907, 538, 8537, 610, 2027, 2115, 5468, 563, 3721, 8386, 28157, 7689, 12697, 585, 9752, 998, 667, 1090, 1738, 7591, 454, 12041, 281, 25014, 3821, 3131, 747, 2961, 13987, 454, 21812, 281, 25014, 3821, 18301, 2917, 23255, 454, 1607, 568, 513, 25156, 585, 3610, 543, 4863, 2209, 2324, 609, 1004, 609, 1565, 9124, 945, 616, 5461, 538, 3860, 4082, 998, 12416, 269, 9122, 593, 741, 9645, 1995, 2324, 609, 519, 5899, 987, 935, 320, 20989, 7577, 267, 27950, 5062, 10501, 571, 577, 543, 22526, 667, 7568, 2917, 723, 2813, 513, 1900, 8386, 9912, 3391, 547, 4881, 513, 12416, 1895, 563, 291, 18769, 585, 4658, 609, 4804, 24894, 454, 12041, 281, 27950, 5062, 10501, 571, 577, 32390, 16808, 4673, 667, 7568, 2917, 454, 21812, 281, 25014, 3821, 18301, 2917, 23255, 454, 32051, 281, 7731, 1299, 17716, 454, 2414, 4001, 834, 1492, 5386, 1148, 540, 17501, 538, 2437, 2549, 20782, 5096, 625, 4051, 338, 4896, 945, 814, 513, 2631, 540, 9644, 543, 519, 7287, 547, 2285, 741, 3214, 834, 320, 2635, 9570, 540, 1582, 12635, 257, 875, 547, 8415, 519, 10565, 6575, 547, 1628, 1514, 1983, 269, 2701, 2488, 5751, 267, 4052, 5796, 267, 20072, 910, 1175, 827, 4376, 602, 2636, 585, 519, 5137, 540, 513, 834, 32612, 543, 530, 871, 344, 14364, 3756, 257, 1895, 267, 799, 10596, 1590, 518, 607, 606, 3872, 1514, 1983, 1362, 607, 1134, 563, 5472, 4256, 2622, 781, 513, 8609, 2336, 12041, 281, 2549, 20782, 5096, 625, 454, 21812, 281, 8892, 21222, 976, 454, 1607, 1187, 1982, 2488, 513, 1305, 540, 2645, 585, 3384, 1514, 1620, 538, 1453, 609, 1306, 704, 3455, 15540, 998, 12416, 269, 898, 3568, 513, 2647, 27132, 540, 2238, 543, 2093, 585, 946, 693, 1753, 267, 538, 519, 4928, 267, 538, 3797, 11925, 610, 1514, 2516, 267, 8151, 689, 3355, 3636, 909, 2553, 267, 547, 3677, 1895, 10207, 543, 588, 1645, 513, 1397, 563, 288, 634, 520, 3740, 13979, 547, 9752, 4317, 4197, 547, 8866, 543, 1855, 839, 609, 1306, 704, 3455, 15540, 454, 12041, 281, 595, 785, 344, 645, 269, 5576, 928, 3187, 454, 21812, 281, 25014, 3821, 18301, 2917, 23255, 454, 8624, 937, 338, 519, 5767, 1344, 593, 10295, 1382, 267, 11257, 267, 20241, 267, 543, 2126, 7740, 563, 12041, 281, 8230, 11184, 328, 267, 307, 3415, 10370, 976, 454, 21812, 281, 21708, 1817, 572, 14539, 5549, 563, 32051, 281, 7731, 1299, 17716, 454, 25440, 15369, 3955, 6761, 585, 5753, 543, 20390, 30105, 609, 20150, 25400, 15136, 7710, 519, 1034, 6444, 267, 21503, 267, 543, 4052, 2409, 585, 1210, 1404, 3797, 609, 519, 2810, 1297, 540, 1453, 8995, 609, 20150, 25400, 15136, 630, 3008, 17762, 1070, 543, 2982, 3714, 857, 753, 875, 547, 11753, 891, 2409, 883, 741, 2853, 269, 4635, 513, 3309, 5044, 540, 1404, 2861, 4485, 267, 519, 1433, 6770, 1927, 519, 9739, 540, 3173, 543, 8026, 19353, 945, 616, 6707, 9001, 1404, 543, 1404, 2861, 7459, 609, 1453, 543, 10708, 593, 519, 10295, 8552, 269, 898, 849, 12116, 519, 5778, 6798, 1670, 24598, 25751, 540, 1404, 538, 1453, 593, 519, 10295, 8552, 543, 519, 2949, 1198, 540, 1404, 593, 5778, 268, 20200, 673, 543, 5778, 27408, 2988, 673, 1646, 269, 7053, 267, 998, 6297, 5610, 540, 3069, 609, 1483, 8996, 4791, 2013, 3498, 267, 1142, 3184, 849, 2982, 19353, 875, 547, 6451, 513, 1880, 2126, 1935, 543, 1118, 621, 513, 14323, 543, 2500, 851, 540, 741, 960, 609, 713, 4101, 4791, 2551, 563, 12041, 281, 22784, 1777, 320, 11829, 334, 6441, 2100, 345, 267, 25187, 5270, 595, 269, 11676, 514, 454, 21812, 281, 13177, 1299, 14731, 454, 291, 18769, 543, 4065, 2488, 513, 4052, 267, 3102, 3391, 547, 12416, 607, 513, 1907, 585, 3450, 543, 1565, 269, 898, 568, 1851, 519, 1101, 4052, 12416, 543, 2773, 9499, 602, 2232, 2634, 2861, 267, 5778, 27023, 881, 1382, 267, 1818, 519, 4661, 602, 5876, 568, 2556, 538, 938, 2729, 267, 602, 22993, 1565, 568, 2067, 543, 1898, 267, 543, 602, 13865, 1565, 2337, 721, 1265, 938, 1747, 538, 2486, 538, 2078, 547, 824, 9082, 543, 4529, 269, 1306, 1134, 607, 513, 3140, 543, 7811, 7650, 540, 519, 2361, 267, 621, 2488, 24117, 543, 2553, 585, 1896, 1808, 16097, 281, 5276, 12416, 267, 1184, 15129, 12416, 267, 12416, 585, 1514, 5126, 267, 543, 2773, 1148, 269, 3962, 1935, 568, 29979, 609, 3732, 3992, 4566, 267, 2238, 267, 2093, 585, 15285, 267, 543, 3573, 12190, 13132, 269, 634, 3584, 616, 5941, 689, 2947, 1883, 7285, 281, 3040, 8466, 543, 7811, 13210, 3040, 4354, 14152, 3156, 3040, 19750, 1907, 330, 1080, 585, 513, 2039, 540, 13460, 543, 1565, 5054, 3040, 7756, 2994, 585, 3992, 4566, 3040, 22362, 3681, 585, 3476, 11925, 269, 13966, 2515, 891, 4295, 2409, 267, 519, 5610, 540, 824, 5499, 3029, 31539, 2773, 1148, 547, 20989, 540, 519, 11534, 5962, 1765, 20041, 12416, 2861, 1565, 568, 8268, 267, 607, 1134, 607, 519, 31544, 4145, 971, 607, 4879, 267, 4058, 267, 543, 14223, 585, 6575, 1565, 543, 6575, 2069, 12352, 269, 30765, 543, 4065, 568, 519, 3102, 1837, 585, 3610, 543, 1053, 593, 11930, 20989, 543, 20989, 543, 4065, 6030, 563, 8110, 18504, 6396, 3098, 585, 9752, 543, 4804, 454, 12041, 281, 2494, 517, 8709, 632, 4826, 267, 27746, 5062, 13510, 1195, 267, 298, 2077, 514, 15391, 454, 32051, 281, 27400, 8551, 454, 32051, 281, 4804, 9124, 454, 763, 5449, 8689, 540, 519, 1977, 5948, 540, 3427, 8556, 21116, 14592, 513, 17396, 4831, 9679, 585, 7432, 3506, 1394, 883, 4025, 602, 20741, 1453, 563, 21430, 3776, 12140, 1937, 20321, 540, 3776, 5753, 454, 12041, 281, 6754, 667, 269, 20279, 454, 21812, 281, 4856, 7773, 4964, 454, 1607, 1305, 568, 606, 13778, 6881, 540, 519, 1995, 267, 8226, 267, 543, 2126, 540, 1004, 609, 2168, 543, 5626, 9124, 538, 6082, 1472, 519, 8608, 563, 12041, 281, 21965, 589, 269, 21244, 454, 21812, 281, 16217, 1122, 518, 23255, 454, 9349, 585, 3237, 267, 3610, 267, 1126, 3249, 4600, 543, 1554, 1416, 7426, 827, 4227, 519, 1981, 540, 4638, 6057, 540, 9251, 1453, 267, 609, 543, 1510, 9124, 563, 28406, 532, 3776, 5753, 689, 20351, 18816, 454, 12041, 281, 744, 3072, 320, 24125, 18722, 267, 4537, 597, 2917, 623, 864, 2917, 454, 32051, 281, 4132, 4638, 6057, 454, 1607, 1433, 3091, 5583, 585, 3237, 7282, 741, 1453, 609, 9124, 945, 616, 1373, 13473, 538, 8537, 5468, 269, 898, 2488, 4282, 1344, 827, 875, 1453, 1451, 543, 519, 1808, 7965, 4810, 676, 1453, 609, 1565, 2042, 269, 898, 5267, 2994, 585, 2870, 1732, 1565, 5054, 693, 1753, 543, 693, 1153, 543, 585, 4543, 609, 2542, 267, 2979, 267, 543, 1603, 1983, 269, 634, 1433, 28279, 3237, 593, 875, 547, 2268, 741, 1126, 781, 1565, 3356, 998, 6101, 2081, 630, 20598, 1242, 4255, 267, 1867, 6486, 264, 543, 13016, 2081, 630, 974, 12329, 8343, 267, 4879, 540, 3232, 960, 543, 3785, 1040, 10572, 11271, 3382, 519, 3584, 540, 281, 630, 272, 264, 8537, 2069, 607, 513, 3838, 5539, 540, 1753, 543, 1153, 282, 630, 273, 264, 3741, 540, 5698, 1063, 1753, 543, 1153, 282, 630, 274, 264, 4128, 585, 1565, 7965, 630, 10175, 1808, 7965, 4810, 676, 1053, 609, 513, 3099, 540, 2790, 267, 3929, 267, 543, 2168, 23043, 5148, 630, 275, 264, 1565, 827, 519, 1126, 607, 513, 2875, 282, 630, 276, 264, 5750, 532, 519, 1126, 781, 3356, 282, 630, 277, 264, 2870, 513, 1753, 1604, 585, 1565, 282, 630, 278, 264, 2994, 585, 4543, 519, 1126, 609, 6780, 282, 543, 630, 279, 264, 2833, 543, 4030, 540, 3237, 269, 2561, 2105, 616, 476, 2420, 3029, 585, 3237, 547, 946, 609, 741, 1126 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3014, 14678, 269, 17616, 267, 2307, 2055, 827, 3388, 256, 5213, 1405, 5855, 827, 3280, 532, 25064, 282, 7279, 31168, 1565, 11642, 256, 19627, 267, 12840, 609, 2828, 543, 2671, 2093, 269, 11554, 1927, 2306, 6061, 2042, 4443, 543, 25242, 5876, 269, 7053, 267, 2119, 1007, 1919, 267, 4603, 267, 3048, 622, 256, 3143, 2339, 2436, 596, 2811, 5986, 909, 513, 7088, 538, 5851, 8278, 1421, 26819, 532, 5220, 538, 2296, 267, 610, 11362, 2620, 883, 1686, 267, 2141, 3343, 4195, 4485, 780, 6637, 476, 276, 281, 15012, 634, 15765, 4804, 7169, 2439, 3383, 1934, 781, 519, 4308, 281, 3742, 1565, 3884, 1405, 1175, 1776, 3872, 18388, 5320, 282, 621, 781, 513, 8810, 4640, 602, 7140, 8723, 4245, 883, 9058, 9035, 269, 3657, 596, 9599, 2943, 286, 6153, 256, 5221, 1631, 621, 781, 22400, 2490, 547, 9784, 713, 2706, 12741, 543, 1689, 519, 1259, 596, 1451, 11014, 269, 8625, 267, 649, 3513, 20630, 19174, 267, 835, 3742, 1900, 693, 513, 942, 269, 8414, 4974, 267, 22530, 1513, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 294, 821, 616, 519, 2395, 950, 2757, 1565, 11226, 941, 2614, 547, 25407, 1053, 685, 3007, 543, 1832, 873, 7722, 538, 519, 4928, 269, 2060, 2029, 14027, 6385, 267, 2930, 2866, 11226, 723, 7153, 607, 513, 3532, 1907, 585, 30507, 519, 1259, 649, 1451, 269, 1452, 5499, 3450, 2645, 711, 1152, 1118, 1565, 811, 7317, 855, 849, 3986, 2875, 6278, 543, 12802, 540, 1344, 269, 769, 713, 5816, 2022, 267, 649, 3580, 4685, 883, 875, 2930, 2866, 11226, 666, 25793, 1662, 519, 1379, 540, 2069, 543, 2981, 13460, 1472, 519, 1158, 269, 1924, 31617, 909, 543, 1205, 4712, 547, 3605, 513, 1007, 1158, 540, 1565, 2336, 763, 9046, 609, 12465, 4804, 589, 1749, 454, 25565, 1565, 11226, 723, 1044, 1031, 585, 5553, 547, 18836, 1702, 543, 1983, 547, 1053, 269, 1717, 267, 891, 2409, 1419, 2887, 2110, 538, 5329, 909, 609, 519, 6385, 4657, 1158, 540, 2029, 269, 2290, 2101, 3390, 609, 2757, 1565, 11226, 568, 602, 789, 616, 1419, 12809, 267, 6028, 2370, 4055, 585, 3742, 2875, 7589, 563, 2690, 1383, 267, 1257, 321, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30874, 4804, 257, 607, 851, 540, 834, 3633, 24102, 1315, 9752, 1315, 10613, 1299, 11150, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12413, 518, 1042, 5385, 2636, 2576, 547, 6133, 513, 1870, 610, 5092, 3959, 630, 20365, 11442, 4015, 14386, 543, 946, 782, 540, 519, 2724, 4607, 689, 519, 9042, 547, 6718, 1776, 2147, 3959, 1369, 1808, 4808, 1305, 676, 519, 594, 11965, 269, 1635, 3257, 865, 267, 519, 22673, 3085, 1405, 723, 547, 2628, 9204, 1318, 2476, 593, 519, 7443, 12236, 689, 519, 3312, 3959, 781, 9042, 269, 5502, 267, 891, 9204, 786, 581, 1813, 950, 519, 10682, 3959, 568, 5555, 4421, 1107, 8259, 267, 540, 1576, 267, 1776, 476, 9818, 272, 5385, 3217, 1747, 1354, 1287, 2439, 2080, 779, 1018, 2306, 513, 476, 9818, 272, 5385, 2189, 1384, 265, 5637, 3601, 1590, 581, 4371, 585, 5092, 610, 1031, 538, 513, 4123, 610, 1870, 269, 2659, 11442, 4015, 12523, 1317, 621, 779, 1373, 4371, 585, 22638, 759, 1446, 693, 513, 2362, 3902, 563, 265, 634, 3601, 22121, 1590, 581, 968, 3697, 29292, 892, 799, 3622, 1797, 789, 2671, 519, 1482, 2470, 610, 1915, 267, 1256, 952, 789, 8428, 538, 3446, 610, 2298, 269, 1280, 1383, 267, 596, 7948, 1406, 23396, 707, 11442, 4015, 585, 513, 5010, 2679, 267, 855, 596, 1522, 581, 2111, 547, 798, 865, 585, 1776, 21689, 779, 6221, 610, 11891, 5921, 585, 759, 1446, 563, 265, 634, 22673, 814, 476, 3393, 2395, 1310, 14656, 593, 519, 1101, 3959, 547, 2697, 1761, 5372, 906, 267, 543, 476, 5197, 2395, 547, 2673, 593, 693, 2547, 835, 540, 873, 269, 1403, 2789, 3601, 616, 4857, 1282, 519, 3355, 476, 3393, 6377, 1974, 267, 1152, 909, 547, 1614, 949, 581, 12349, 780, 3086, 1577, 779, 1413, 693, 606, 1383, 547, 1294, 875, 713, 2640, 596, 267, 938, 11442, 21689, 780, 22428, 596, 1378, 1079, 1114, 10070, 281, 14635, 589, 5161, 6140, 540, 1455, 2962, 5515, 543, 6472, 267, 6466, 14635, 645, 3568, 4686, 337, 2445, 17156, 543, 3908, 7160, 3688, 269, 2991, 1296, 540, 6297, 10655, 267, 1142, 4015, 814, 23060, 538, 1871, 256, 22628, 519, 4316, 547, 2087, 1312, 1028, 677, 906, 2417, 267, 596, 2015, 2220, 6260, 26888, 589, 543, 645, 609, 824, 25981, 19216, 780, 5475, 4466, 5461, 18318, 267, 596, 3858, 547, 5385, 14635, 589, 585, 14635, 595, 267, 799, 12851, 547, 11814, 528, 595, 269, 6684, 267, 596, 6582, 547, 23396, 14635, 645, 585, 14635, 667, 11262, 676, 11814, 528, 667, 269, 1452, 23194, 20618, 896, 8791, 476, 9818, 272, 2094, 782, 2185, 10070, 616, 2808, 968, 3697, 29292, 2223, 1775, 4318, 1421, 789, 2874, 540, 9162, 5497, 585, 2123, 18399, 610, 2104, 7071, 269, 1306, 971, 267, 9444, 596, 6862, 2901, 540, 519, 824, 19216, 28297, 9204, 5612, 2390, 12032, 540, 519, 8852, 780, 21156, 267, 596, 1205, 547, 1832, 811, 540, 707, 15271, 16539, 538, 9750, 707, 11442, 10070, 267, 3850, 873, 547, 1332, 5488, 982, 789, 6382, 1131, 952, 596, 1185, 6976, 9204, 2059, 519, 1259, 269, 1656, 14693, 1524, 519, 4155, 267, 950, 596, 6368, 3442, 547, 6666, 856, 7357, 267, 596, 3580, 3068, 1152, 835, 1804, 3454, 3915, 10452, 782, 519, 19017, 12374, 2864, 982, 1896, 4130, 3283, 3262, 2429, 707, 10655, 4876, 780, 3383, 1985, 942, 596, 1589, 827, 3395, 707, 7221, 267, 2436, 621, 3322, 9162, 610, 4890, 1483, 10040, 267, 3314, 602, 3454, 12413, 518, 1042, 15377, 1522, 1683, 1713, 5383, 4502, 3695, 269, 8414, 10655, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 305, 7728, 18225, 11828, 519, 5767, 10115, 267, 3656, 267, 9584, 267, 543, 10509, 3466, 538, 519, 23934, 2872, 269, 19928, 12781, 1331, 27192, 267, 3454, 4966, 267, 9520, 267, 543, 1483, 10040, 4623, 6203, 269, 13773, 538, 519, 917, 543, 1224, 681, 7728, 18225, 585, 17676, 563, 293, 17920, 476, 1708, 274, 5990, 661, 7704, 28718, 3201, 681, 7728, 3201, 25526, 311, 30316, 22432, 454, 278, 32530, 16739, 9215, 6789, 298, 22400, 595, 5183, 623, 17803, 476, 6246, 25526, 311, 6730, 700, 9680, 3201, 12327, 25807, 4811, 15562, 22664, 13673, 291, 5508, 962, 292, 2752, 11555, 3201, 29643, 12442, 5084, 309, 21201, 623, 17803, 476, 7906, 454, 15578, 15562, 18306, 6874, 2207, 300, 681, 7728, 3201, 25526, 311, 22444, 3918, 307, 454, 10135, 3633, 3951, 306, 6730, 667, 3633, 10813, 16739, 9215, 10790, 311, 8379, 22003, 292, 681, 7728, 3201, 11550, 303, 12224, 312, 11550, 293, 3951, 306, 570, 8008, 476, 1015, 623, 17803, 476, 7830, 454, 15578, 25526, 311, 12164, 10345, 12702, 27301, 2464, 5508, 631, 3041, 306, 5058, 744, 7473, 10396, 645, 2177, 4785, 667, 7968, 3918, 5746, 9569, 623, 17803, 476, 5780, 454, 7419, 2316, 299, 9358, 918, 301, 8582, 9474, 27345, 5990, 667, 9128, 2207, 305, 3633, 590, 3201, 2464, 13138, 19851, 623, 17803, 476, 2190, 454, 15578, 5508, 293, 2975, 24361, 29706, 13993, 2975, 9569, 5508, 5990, 7537, 2207, 2975, 3198, 6673, 11286, 16774, 744, 310, 301, 8991, 6789, 12569, 5746, 9569, 454, 15288, 4456, 966, 303, 7605, 29560, 595, 1258, 16967, 15503, 538, 12751, 5981, 18588, 1325, 12534, 5964, 19928, 5024, 3798, 6002, 19395, 3203, 743, 858, 4211, 1258, 16967, 27211, 2806, 2449, 19928, 12781, 1520, 6929, 3911, 8775, 19395, 7935, 323, 1115, 5652, 2549, 7701, 12390, 267, 595, 5183, 12891, 2917, 14355, 31167, 531, 2725, 327, 13860, 267, 595, 5183, 8176, 667, 984, 839, 8355, 10197, 330, 578, 545, 345, 12253, 26588, 29422, 6424, 590, 269, 17384, 667, 342, 697, 28270, 10906, 23720, 27722, 700, 2354, 5652, 26155, 2742, 8055, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 1314, 5937, 1030, 518, 1042, 1401, 577, 5190, 630, 9818, 272, 16510, 17983, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 7464, 24529, 1315, 20497, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 20821, 3627, 570, 3402, 731, 910, 589, 15552, 4347, 2056, 15213, 2336, 14343, 15365, 5331, 2713, 1282, 513, 942, 950, 15438, 1185, 782, 519, 1379, 543, 1004, 1185, 1360, 2370, 2161, 538, 875, 741, 2197, 729, 2196, 269, 901, 729, 519, 4641, 585, 1082, 1004, 538, 4789, 1282, 519, 3735, 476, 8182, 271, 338, 543, 2038, 476, 10204, 271, 338, 269, 1717, 267, 972, 941, 930, 12703, 2043, 945, 11542, 909, 1996, 3532, 17710, 543, 10692, 585, 8723, 1004, 781, 2924, 269, 2290, 971, 5869, 729, 513, 812, 3957, 3627, 570, 3402, 731, 2439, 2162, 5808, 12984, 3627, 570, 3402, 731, 2496, 29820, 538, 476, 14917, 273, 267, 3627, 570, 3402, 731, 8057, 909, 538, 513, 1134, 9113, 4624, 1920, 269, 1306, 646, 3893, 4587, 267, 646, 6594, 693, 27076, 5441, 538, 25212, 543, 1256, 2968, 513, 4759, 540, 519, 5600, 540, 12780, 269, 1809, 1018, 1500, 1864, 5963, 2027, 729, 1010, 6612, 585, 5191, 543, 14619, 780, 7628, 1010, 10715, 267, 1079, 2101, 2152, 30223, 4789, 1107, 2348, 513, 8628, 7952, 543, 4758, 1932, 1454, 6392, 547, 519, 5783, 269, 3509, 3401, 5156, 602, 5329, 513, 1804, 1895, 540, 8036, 7980, 630, 10193, 1634, 607, 513, 7555, 7952, 264, 1131, 948, 2149, 519, 4182, 269, 1717, 267, 1866, 899, 3627, 570, 3402, 731, 21787, 602, 891, 20679, 1223, 581, 1031, 676, 6067, 9037, 16313, 338, 547, 1852, 543, 1727, 816, 741, 1378, 4961, 780, 20118, 267, 1247, 1034, 1004, 8815, 602, 4984, 5129, 606, 1898, 1909, 538, 2486, 267, 789, 4769, 1405, 1616, 835, 1880, 5939, 547, 723, 811, 3310, 982, 1866, 936, 2229, 3664, 269, 10251, 267, 713, 568, 4010, 1018, 5949, 538, 4789, 267, 1141, 519, 4013, 1533, 5939, 4371, 1713, 32022, 936, 6214, 269, 11088, 267, 570, 3402, 731, 5433, 9244, 827, 19459, 3909, 5238, 689, 2797, 3283, 780, 2162, 674, 18017, 585, 1548, 781, 9406, 692, 2414, 3262, 4656, 827, 891, 4145, 267, 570, 3402, 731, 5206, 4930, 543, 3594, 10404, 1944, 1312, 7555, 20679, 543, 519, 8789, 5939, 269, 8625, 609, 1010, 3659, 7338, 23583, 267, 646, 2813, 9565, 12326, 899, 2608, 763, 18763, 1733, 580, 265, 543, 2608, 290, 6737, 781, 16707, 29688, 1452, 4773, 11130, 585, 7863, 1367, 23118, 543, 5706, 532, 18348, 14761, 543, 4108, 7269, 780, 307, 3402, 731, 7012, 1405, 1175, 5461, 538, 4657, 1919, 1369, 4789, 282, 646, 4941, 3025, 547, 2972, 2147, 22624, 269, 2334, 781, 1946, 1010, 12591, 6591, 8560, 2066, 519, 9533, 7909, 267, 3226, 1851, 1346, 2713, 538, 3013, 781, 7810, 11182, 269, 3571, 960, 6273, 2104, 5481, 547, 3136, 14957, 585, 7115, 543, 1582, 3766, 4261, 766, 780, 2162, 16497, 3231, 2740, 4653, 692, 10214, 1498, 649, 2661, 538, 1114, 2053, 1631, 267, 3627, 570, 3402, 731, 781, 1650, 1869, 814, 3407, 4245, 585, 721, 2221, 269, 898, 2982, 602, 6340, 856, 1996, 21440, 666, 1711, 1483, 1689, 269, 1635, 4687, 938, 4555, 25678, 855, 6414, 1836, 267, 649, 666, 8300, 1866, 1472, 721, 547, 798, 519, 1482, 269, 3807, 899, 570, 3402, 731, 1705, 5553, 3516, 267, 1142, 835, 540, 721, 6585, 519, 1379, 547, 3337, 938, 1158, 883, 513, 1732, 1747, 780, 3383, 1985, 942, 596, 7237, 1945, 24407, 610, 15490, 267, 3314, 3627, 570, 3402, 731, 1107, 513, 22299, 540, 5191, 945, 546, 1563, 547, 4161, 3532, 4229, 543, 9415, 9118, 1866, 547, 1796, 909, 585, 2933, 1932, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21837, 654, 12002, 2917, 267, 834, 11990, 570, 3402, 731, 543, 519, 11534, 3789, 547, 30557, 14022, 625, 257, 630, 20826, 476, 1001, 277, 994, 11990, 570, 3402, 731, 630, 14917, 273, 268, 15094, 274, 264, 729, 513, 9097, 1733, 580, 543, 20448, 2006, 945, 267, 2059, 609, 1010, 3523, 1807, 7338, 23583, 630, 15433, 273, 268, 11260, 271, 1070, 941, 1271, 9739, 21108, 13338, 1143, 543, 1367, 15698, 538, 519, 476, 15094, 271, 338, 538, 4789, 269, 570, 3402, 731, 3357, 689, 513, 7986, 1920, 267, 4682, 547, 27076, 5441, 267, 25212, 267, 543, 13713, 6039, 538, 519, 5600, 540, 12780, 269, 1261, 5249, 607, 513, 19784, 538, 519, 476, 15433, 271, 338, 1603, 1568, 10404, 2358, 519, 2856, 540, 7555, 20679, 543, 519, 2797, 1379, 540, 519, 3964, 5939, 269, 570, 3402, 731, 1071, 2914, 4710, 634, 18763, 1733, 580, 630, 15094, 271, 268, 2641, 264, 543, 595, 6737, 779, 16707, 630, 15094, 271, 268, 2537, 264, 609, 23583, 269, 1261, 729, 513, 1219, 2658, 540, 519, 2856, 540, 15698, 1996, 2797, 13313, 267, 22030, 543, 2113, 10560, 1143, 538, 519, 2038, 476, 1240, 628, 2540, 269, 4256, 12591, 267, 2523, 595, 6737, 779, 16707, 267, 941, 849, 1454, 1224, 538, 519, 1977, 10125, 269, 769, 713, 23068, 25198, 4901, 6424, 654, 12002, 2917, 267, 519, 7338, 654, 691, 517, 7905, 540, 2296, 9085, 693, 519, 2160, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7689, 281, 1306, 322, 3290, 13628, 910, 589, 7981, 4303, 585, 10271, 692, 5970, 596, 2479, 4862, 540, 513, 15705, 945, 1223, 8038, 286, 2107, 6148, 513, 1650, 1141, 2576, 20374, 883, 519, 6607, 286, 4270, 267, 2221, 649, 2811, 2469, 547, 2911, 827, 513, 2027, 1554, 585, 10271, 1572, 834, 2026, 322, 3290, 13628, 2437, 799, 814, 1945, 547, 798, 609, 4906, 10760, 909, 883, 519, 12269, 256, 2913, 781, 1451, 811, 827, 621, 1927, 2439, 5331, 1373, 835, 540, 4906, 262, 14191, 2828, 1765, 16341, 821, 945, 1185, 6170, 519, 2063, 1906, 1296, 1565, 689, 1864, 267, 8384, 1010, 28986, 267, 543, 6947, 547, 1010, 10752, 269, 1411, 1131, 1745, 7168, 8909, 950, 646, 729, 16961, 1881, 543, 5747, 267, 1318, 286, 1809, 1287, 267, 5863, 1919, 3323 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24255, 585, 519, 454, 332, 584, 1457, 540, 10424, 626, 5428, 4759, 1488, 329, 684, 15840, 611, 584, 700, 4821, 538, 5412, 476, 1220, 276, 269, 1809, 5103, 5480, 454, 7451, 543, 7459, 689, 2199, 543, 3486, 3906, 267, 1100, 10654, 4553, 563, 21691, 823, 538, 519, 5651, 836, 8664, 1869, 723, 711, 19429, 513, 7803, 24255, 538, 519, 2013, 540, 454, 322, 2753, 1014, 8496, 16852, 1090, 717, 2246, 600, 267, 16957, 569, 7166, 676, 7952, 10986, 538, 476, 1220, 275, 267, 5103, 5480, 9753, 543, 454, 516, 701, 730, 22587, 676, 2199, 543, 3486, 3906, 269, 634, 3668, 540, 2797, 786, 547, 2232, 454, 7945, 10963, 568, 849, 10630, 538, 18747, 547, 9886, 606, 993, 333, 17965, 585, 3978, 1480, 2924, 28407, 454, 1260, 4784, 1282, 519, 4655, 269, 30633, 4031, 593, 1312, 513, 5168, 543, 21047, 10243, 543, 513, 454, 4134, 1952, 792, 1734, 10243, 2270, 971, 606, 993, 333, 17965, 563, 1103, 476, 1220, 279, 267, 519, 15194, 6105, 14751, 539, 741, 7029, 547, 3715, 862, 3827, 593, 454, 20139, 4708, 543, 14317, 267, 5168, 543, 21047, 267, 14897, 1734, 267, 543, 2244, 6963, 267, 855, 454, 17495, 711, 1500, 1713, 3356, 593, 9591, 1022, 540, 873, 693, 713, 1603, 269, 6764, 29774, 585, 454, 26973, 902, 5170, 269, 3474, 7056, 3202, 7128, 18611, 585, 519, 3354, 540, 10609, 636, 15840, 611, 584, 10609, 611, 6390, 267, 513, 454, 845, 518, 14012, 543, 13605, 8932, 6837, 11134, 267, 7166, 5722, 31474, 1235, 538, 476, 1220, 279, 269, 32439, 4655, 454, 553, 547, 945, 15748, 3595, 267, 855, 5359, 2303, 602, 7128, 1031, 7050, 3196, 269, 634, 3885, 540, 519, 454, 341, 1112, 15501, 723, 19429, 20286, 267, 855, 7128, 1185, 3144, 1100, 2962, 693, 713, 1603, 563, 310, 7655, 17600, 7018, 1310, 519, 476, 1220, 279, 25711, 543, 11318, 540, 1870, 2006, 10548, 670, 926, 454, 4537, 6135, 3873, 269, 16840, 540, 519, 4658, 779, 8644, 3130, 8136, 267, 519, 11439, 13617, 540, 519, 8713, 301, 5336, 267, 616, 454, 29207, 1386, 3743, 269, 7201, 519, 5437, 476, 1220, 277, 18043, 13458, 15716, 267, 31474, 626, 454, 322, 611, 637, 941, 10805, 538, 18085, 517, 618, 4609, 896, 519, 4027, 540, 519, 2136, 8315, 17030, 538, 454, 301, 788, 531, 630, 7419, 300, 2562, 1070, 799, 849, 3576, 26692, 540, 741, 9604, 269, 4340, 547, 6167, 300, 2562, 267, 1310, 519, 454, 591, 2305, 540, 10805, 31474, 626, 8396, 1218, 729, 6192, 538, 5412, 476, 1220, 278, 267, 476, 1428, 267, 4037, 277, 2367, 543, 454, 274, 267, 279, 5379, 2021, 2611, 538, 519, 18085, 517, 906, 269, 8713, 301, 5336, 6499, 547, 2327, 602, 519, 5449, 25881, 616, 454, 15759, 3603, 883, 2229, 3354, 4229, 610, 3177, 14595, 24454, 563, 1103, 476, 1220, 279, 267, 519, 13605, 2297, 324, 2229, 1767, 621, 1131, 1305, 909, 513, 2027, 12233, 547, 2327, 454, 27393, 14317, 540, 8396, 1218, 267, 855, 693, 713, 1603, 267, 972, 941, 1869, 22195, 593, 519, 454, 2169, 550, 547, 799, 31474, 626, 8396, 1218, 1058, 581, 7471, 883, 519, 18310, 7952, 269, 4438, 519, 4655, 2676, 534, 6059, 476, 277, 267, 1822, 547, 476, 280, 267, 1822, 31474, 626, 20017, 637, 941, 5156, 547, 723, 1044, 1453, 269, 3502, 782, 941, 454, 322, 656, 19861, 1310, 519, 4655, 267, 2705, 267, 1818, 513, 5730, 1293, 7543, 269, 6167, 300, 2562, 814, 4080, 454, 7474, 936, 476, 4968, 271, 1126, 16461, 1080, 2611, 538, 519, 18085, 517, 618, 4609, 563, 763, 2229, 540, 18310, 267, 1631, 1519, 519, 31474, 1235, 267, 814, 1767, 621, 786, 711, 946, 610, 21821, 454, 18244, 2085, 476, 1240, 610, 2630, 538, 1022, 4108, 3196, 543, 602, 782, 1126, 7980, 786, 581, 5265, 454, 516, 4725, 4106, 730, 269, 1677, 4266, 267, 891, 4507, 616, 711, 1373, 5265, 8045, 269, 9453, 1697, 454, 516, 4725, 10949, 543, 556, 15759, 1674, 267, 1082, 1126, 8396, 1218, 723, 1336, 741, 1259, 883, 10795, 2516, 454, 7945, 607, 519, 8479, 19797, 13477, 630, 312, 12710, 1070, 519, 6107, 13617, 540, 519, 8713, 301, 5336, 269, 962, 12710, 814, 1044, 454, 574, 6088, 538, 705, 2265, 687, 267, 10726, 902, 267, 543, 6146, 902, 2094, 621, 729, 556, 28004, 538, 5412, 476, 1220, 277, 563, 309, 2723, 550, 6285, 11911, 547, 519, 962, 12710, 1996, 9228, 2797, 17837, 14556, 1881, 1354, 543, 454, 12898, 519, 4989, 476, 1015, 267, 476, 1220, 279, 267, 12836, 269, 634, 962, 12710, 568, 16922, 5631, 540, 5449, 4658, 779, 8644, 3130, 454, 6635, 3240, 4971, 619, 282, 922, 2818, 616, 2085, 476, 1626, 268, 2412, 269, 634, 962, 12710, 814, 10924, 3376, 7060, 547, 29862, 454, 10919, 885, 2066, 519, 2197, 543, 968, 541, 6135, 892, 543, 19439, 25476, 267, 6031, 7128, 616, 17528, 547, 454, 704, 845, 713, 1599, 269, 13207, 2130, 3294, 519, 5837, 27369, 543, 818, 321, 3438, 540, 13882, 267, 519, 962, 12710, 814, 454, 3430, 17977, 2797, 17837, 267, 20859, 267, 16957, 3075, 3755, 267, 543, 2043, 16143, 540, 454, 2169, 1090, 541, 1388, 1894, 269, 2201, 4864, 476, 277, 267, 6619, 540, 1010, 9550, 607, 6305, 14012, 267, 31474, 626, 28579, 454, 303, 571, 577, 18588, 10288, 782, 5428, 2818, 1519, 519, 962, 12710, 547, 26699, 10795, 2238, 563, 32381, 540, 519, 1249, 602, 18310, 2348, 32738, 519, 13482, 1996, 32202, 675, 543, 824, 454, 290, 745, 601, 267, 769, 21065, 2033, 610, 26440, 15665, 15722, 7321, 267, 25711, 568, 1869, 711, 513, 7803, 25213, 538, 18310, 563, 27001, 5130, 476, 272, 543, 4873, 476, 1789, 267, 476, 1220, 279, 267, 31197, 17072, 267, 513, 18310, 2861, 15726, 302, 267, 26906, 476, 272, 267, 275, 2537, 454, 30956, 664, 4315, 538, 741, 2834, 11564, 547, 476, 3374, 30969, 7740, 2066, 476, 1626, 13102, 269, 2986, 713, 1297, 267, 476, 31256, 2676, 14862, 540, 873, 1453, 267, 10645, 789, 1185, 1044, 12475, 3293, 610, 2192, 2389, 8972, 676, 7128, 269, 634, 2665, 1397, 513, 454, 6312, 1181, 540, 7128, 6057, 540, 11174, 31268, 267, 609, 1279, 5712, 540, 10363, 30969, 267, 3668, 540, 1569, 454, 1729, 7850, 2564, 543, 3656, 6351, 267, 543, 11375, 636, 2033, 2126, 1519, 7928, 543, 454, 20685, 5371, 13253, 4797, 538, 18310, 538, 476, 1220, 279, 936, 519, 2924, 540, 8496, 1127, 6062, 2950, 538, 454, 1492, 7013, 6833, 2967, 3148, 269, 769, 5988, 513, 10880, 676, 8496, 1127, 6062, 2516, 5828, 10795, 269, 2755, 519, 454, 2889, 5052, 1562, 28520, 10007, 543, 4620, 1503, 23038, 267, 13389, 7128, 9708, 543, 21006, 2229, 454, 27393, 1399, 267, 519, 7128, 1031, 24037, 3196, 547, 1852, 519, 13889, 269, 2311, 2547, 3670, 7606, 941, 7166, 543, 454, 327, 4348, 338, 267, 1519, 930, 7128, 10492, 267, 941, 13676, 563, 5475, 4728, 476, 1015, 267, 476, 1220, 279, 267, 17230, 753, 2713, 538, 15576, 332, 663, 340, 5342, 513, 3126, 540, 17600, 1996, 454, 1492, 4457, 2229, 779, 10792, 11523, 6658, 538, 17230, 269, 13605, 8932, 8128, 267, 538, 741, 3646, 547, 454, 1952, 324, 848, 3624, 267, 10353, 971, 23405, 543, 7722, 538, 11991, 543, 7050, 946, 540, 454, 4403, 267, 17062, 10654, 267, 4638, 14213, 540, 2021, 1282, 10654, 267, 17062, 543, 15324, 30969, 2676, 18566, 902, 538, 30969, 267, 796, 32016, 6937, 547, 1244, 677, 17230, 753, 547, 3624, 267, 543, 11991, 9993, 454, 517, 5191, 540, 3350, 538, 519, 15576, 332, 663, 340, 9503, 269, 634, 2229, 814, 538, 1198, 20177, 519, 454, 321, 4650, 547, 2061, 519, 12625, 540, 25307, 15076, 543, 814, 4847, 4457, 3354, 10986, 547, 454, 641, 4733, 593, 519, 13605, 8932, 2427, 540, 519, 8473, 563, 1103, 5412, 476, 1220, 278, 18310, 779, 10966, 7040, 9859, 519, 2229, 547, 4735, 531, 4031, 454, 322, 17964, 1944, 28305, 2932, 543, 4031, 6382, 5806, 3215, 1996, 4638, 18441, 563, 763, 5480, 849, 9859, 519, 2229, 547, 4013, 5431, 513, 968, 628, 2273, 4008, 892, 538, 1840, 547, 454, 2108, 332, 1446, 892, 543, 968, 325, 24580, 2223, 543, 3964, 513, 12233, 547, 2263, 1482, 20967, 7365, 585, 18310, 269, 3143, 454, 1278, 2197, 538, 3162, 5607, 814, 3144, 891, 3268, 269, 5274, 2924, 9718, 619, 267, 2523, 2021, 454, 3698, 11367, 267, 3136, 547, 3068, 6285, 269, 634, 15272, 19797, 13477, 814, 1044, 3238, 538, 1896, 454, 24825, 550, 6285, 1996, 9718, 619, 267, 20859, 267, 543, 2797, 17837, 855, 971, 2665, 616, 2356, 454, 2254, 11567, 676, 7128, 563, 301, 788, 531, 12346, 593, 519, 5351, 543, 1489, 540, 4914, 6608, 1519, 3127, 267, 3624, 267, 519, 454, 18197, 2276, 267, 519, 2136, 8003, 267, 519, 3864, 5742, 267, 543, 3567, 269, 1452, 11051, 723, 693, 2053, 454, 2452, 539, 606, 1271, 1909, 538, 14304, 1480, 2924, 4027, 543, 14053, 606, 1439, 547, 454, 11069, 29774, 543, 3354, 5823, 6963, 269, 634, 2475, 814, 1869, 711, 6569, 519, 8713, 301, 5336, 689, 922, 22681, 454, 301, 788, 8932, 11788, 10579, 667, 1695, 531, 10272, 3127, 538, 5181, 543, 5437, 476, 1220, 279, 267, 543, 3127, 454, 817, 3293, 1864, 540, 2804, 6351, 543, 948, 26004, 513, 1007, 11156, 269, 667, 1695, 531, 849, 10272, 454, 19770, 547, 1628, 2804, 543, 7580, 13218, 269, 2201, 5147, 476, 2537, 267, 519, 8232, 7027, 6905, 519, 454, 7419, 300, 2562, 5464, 5692, 2394, 5130, 476, 2537, 267, 476, 1220, 280, 269, 6736, 6578, 20214, 267, 519, 8433, 540, 519, 454, 11947, 30934, 585, 5274, 7126, 5170, 547, 1404, 513, 1713, 1909, 538, 18310, 14236, 454, 16058, 2924, 19374, 267, 1519, 968, 4134, 1952, 792, 1734, 2223, 543, 5275, 12477, 585, 28407, 454, 1260, 4784, 1282, 519, 4655, 272, 563, 6624, 6167, 1763, 30055, 723, 1044, 2854, 593, 519, 19493, 6433, 538, 18310, 269, 4107, 540, 454, 28205, 4308, 609, 519, 27402, 540, 1489, 585, 519, 2136, 8315, 17030, 538, 18310, 269, 1717, 2676, 1492, 31474, 626, 779, 31250, 1379, 814, 8810, 547, 581, 513, 3978, 3463, 593, 519, 1480, 2924, 540, 13605, 2297, 324, 454, 31842, 714, 839, 269, 901, 1249, 814, 8507, 538, 606, 856, 322, 787, 689, 3486, 21697, 30418, 602, 811, 454, 514, 1181, 1049, 3310, 568, 2877, 538, 519, 2339, 269, 589, 2407, 1592, 540, 1763, 30055, 666, 581, 1336, 693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 3683, 942, 267, 713, 5012, 547, 4057, 4081, 2773, 267, 8965, 2042, 267, 543, 3978, 1072, 2152, 971, 607, 8377, 543, 3987, 780, 15933, 22584, 3085, 1405, 1152, 1860, 2043, 282, 2950, 849, 7985, 950, 1804, 2338, 540, 7264, 6560, 547, 3049, 2933, 543, 741, 3885, 269, 4400, 3928, 540, 1426, 22584, 1611, 811, 2604, 593, 2199, 10506, 1813, 547, 22926, 5829, 10108, 267, 2539, 2949, 7607, 1851, 4079, 945, 666, 1405, 960, 3927, 952, 789, 2811, 896, 333, 712, 1639, 267, 543, 2799, 2566, 1369, 10820, 10010, 547, 2322, 1426, 593, 519, 3349, 780, 1103, 938, 1985, 3184, 267, 649, 786, 2263, 930, 2009, 3435, 547, 2232, 1426, 22584, 267, 2743, 1483, 12325, 2324, 2509, 16701, 21899, 14000, 267, 543, 1451, 2081, 9358, 666, 948, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1692, 547, 3503, 519, 1977, 2160, 10749, 476, 1708, 274, 268, 1708, 275, 454, 13563, 2160, 814, 835, 18593, 5401, 585, 782, 23078, 827, 1946, 596, 1616, 547, 7390, 22847, 269, 3958, 267, 519, 1153, 814, 12987, 585, 1142, 540, 922, 2027, 3292, 563, 2467, 616, 1614, 12987, 585, 12968, 832, 5358, 23078, 267, 1079, 12987, 585, 6820, 18623, 5358, 23078, 267, 1614, 12987, 585, 12493, 18623, 5358, 23078, 267, 1614, 12987, 585, 15348, 267, 8889, 543, 4521, 18623, 23078, 267, 1079, 12987, 585, 5398, 2657, 18623, 23078, 267, 1079, 12987, 585, 590, 752, 3120, 18623, 5358, 23078, 267, 543, 2947, 12987, 585, 22847, 24021, 6820, 26064, 18623, 1222, 630, 17220, 4841, 264, 23078, 563, 7712, 22847, 11392, 5215, 540, 3156, 689, 27268, 2178, 1053, 267, 707, 3594, 616, 707, 4960, 547, 1796, 856, 269, 769, 713, 2022, 267, 649, 3580, 1865, 875, 547, 4739, 606, 2502, 3210, 547, 1142, 540, 891, 3681, 563, 23763, 547, 917, 707, 8458, 693, 22847, 286, 12433, 707, 8458, 585, 1863, 1318, 1631, 563, 5472, 7248, 1218, 32653, 454, 4263, 1977, 2160, 267, 32213, 28742, 568, 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, 4317, 11762, 1315, 24770, 1299, 13067, 6804, 1145, 1315, 5253, 769, 9798, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 5149, 476, 277, 281, 5915, 517, 1108, 538, 11470, 281, 10289, 519, 14730, 17121, 540, 4325, 1529, 894, 9085, 692, 1103, 713, 1770, 267, 649, 5490, 883, 519, 4241, 1158, 540, 27313, 1108, 1369, 519, 2796, 540, 1624, 738, 543, 16750, 5708, 269, 1284, 786, 2263, 875, 4589, 8415, 519, 1523, 540, 1629, 976, 543, 1629, 4577, 15896, 547, 1711, 8903, 6386, 602, 1312, 7038, 543, 4161, 3988, 262, 11994, 540, 4641, 269, 3414, 2673, 13220, 540, 5697, 5931, 267, 5717, 267, 543, 2854, 9382, 267, 596, 786, 2744, 513, 2620, 7071, 585, 519, 2081, 538, 799, 5830, 2308, 891, 3504, 4978, 547, 2992, 4207, 2152, 543, 32370, 780, 8893, 476, 272, 281, 634, 8466, 24306, 540, 5915, 517, 1108, 692, 6524, 11362, 883, 5339, 11269, 540, 1629, 976, 267, 621, 568, 2629, 547, 1174, 741, 3140, 8129, 543, 1646, 269, 10670, 676, 6313, 2038, 3909, 5931, 971, 607, 519, 6426, 267, 13669, 31053, 267, 543, 20845, 547, 3715, 13654, 8847, 540, 1018, 13054, 513, 27313, 543, 922, 1909, 538, 1480, 2486, 269, 31385, 1585, 2686, 12496, 540, 1629, 976, 2429, 1686, 267, 1519, 9147, 5259, 13005, 655, 976, 267, 2098, 19660, 770, 6929, 2820, 338, 267, 9699, 607, 32136, 267, 543, 14418, 2261, 553, 269, 901, 13354, 1935, 8711, 519, 5203, 1275, 540, 4250, 532, 5256, 14179, 550, 4229, 3564, 938, 1852, 543, 24259, 1769, 593, 1946, 1629, 976, 2611, 4143, 2221, 780, 8893, 476, 273, 281, 20223, 5915, 4577, 25334, 11970, 692, 18439, 1114, 19183, 540, 1629, 4577, 15896, 2066, 4529, 543, 942, 5712, 269, 9181, 519, 21441, 1063, 17319, 15896, 630, 324, 3052, 1421, 695, 16120, 2065, 12738, 264, 543, 32246, 15896, 630, 324, 3052, 1421, 608, 528, 322, 3359, 1040, 769, 638, 790, 883, 519, 5626, 3344, 540, 9228, 15896, 282, 616, 972, 19320, 1063, 2413, 17867, 21904, 543, 8978, 6589, 540, 1629, 4577, 3310, 286, 6333, 519, 1514, 6286, 540, 21458, 2043, 607, 22234, 1765, 6343, 3252, 1281, 713, 4196, 1369, 2950, 286, 1215, 798, 1379, 6384, 3337, 945, 3587, 13042, 607, 834, 335, 1601, 612, 539, 257, 2496, 8893, 476, 274, 281, 5915, 517, 1108, 538, 12634, 15019, 9177, 692, 22860, 2763, 2487, 8874, 267, 8613, 2982, 267, 9089, 267, 14676, 267, 543, 3381, 3756, 10023, 1629, 4577, 4798, 269, 10576, 18596, 18305, 267, 1915, 18840, 18196, 267, 543, 2239, 3889, 269, 1280, 1383, 267, 2015, 519, 9860, 540, 18295, 23233, 32626, 1629, 4577, 4229, 538, 1762, 2937, 3332, 610, 519, 4473, 540, 4550, 12516, 525, 28429, 1629, 4577, 7907, 538, 4207, 8613, 3126, 269, 14484, 2390, 875, 891, 26007, 1522, 13469, 609, 4207, 9458, 543, 2232, 10296, 6848, 4145, 780, 8893, 476, 275, 281, 8865, 5530, 281, 2506, 559, 773, 2051, 569, 518, 781, 4201, 641, 1910, 540, 513, 1290, 539, 1014, 692, 30696, 4481, 593, 8241, 2278, 2506, 559, 773, 2051, 569, 518, 781, 3209, 4201, 641, 1910, 540, 513, 1290, 539, 1014, 267, 13296, 513, 10010, 1796, 5346, 635, 539, 1014, 12066, 956, 609, 1010, 6418, 1629, 976, 1282, 513, 3444, 30030, 538, 1010, 4876, 269, 25826, 875, 2051, 569, 518, 24025, 2609, 540, 9589, 17779, 543, 16897, 547, 9446, 2790, 4576, 998, 519, 7828, 540, 1629, 4577, 15896, 269, 21302, 519, 6041, 540, 4008, 267, 5198, 267, 543, 1362, 1369, 519, 2239, 543, 1865, 1022, 1761, 31886, 610, 28919, 269, 14424, 2051, 569, 518, 781, 960, 547, 824, 4589, 2324, 1369, 2147, 21044, 8513, 630, 324, 3052, 1421, 15537, 3751, 267, 1744, 597, 2917, 12722, 267, 610, 30546, 8187, 324, 6393, 8893, 476, 276, 281, 5675, 2659, 13574, 5915, 4577, 21931, 692, 2419, 14128, 707, 16012, 1702, 540, 27313, 1108, 538, 5708, 2509, 13167, 3312, 4773, 3695, 713, 3638, 2245, 269, 15331, 609, 8795, 5232, 540, 1011, 545, 5893, 3823, 1629, 4577, 4527, 267, 14251, 908, 1063, 11029, 23456, 693, 16750, 6304, 543, 2407, 1532, 31500, 19706, 12959, 269, 8571, 6667, 689, 2123, 2833, 610, 6626, 1914, 19205, 2152, 547, 1102, 2224, 2495, 883, 707, 8941, 540, 14334, 269, 1306, 596, 2328, 267, 2015, 519, 1739, 2055, 281, 1548, 3483, 1281, 1045, 3183, 1629, 976, 4196, 538, 707, 2239, 286, 3657, 789, 23199, 585, 4835, 9620, 610, 5007, 6937, 286, 1635, 2502, 7184, 609, 891, 3584, 267, 596, 666, 3565, 4195, 5380, 547, 519, 5571, 5188, 4478, 1629, 976, 543, 741, 10083, 538, 4207, 2528, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 19285, 6557, 1360, 9599, 547, 10950, 8284, 1849, 534, 20121, 710, 4964, 2278, 267, 2506, 559, 773, 2051, 569, 518, 267, 547, 1250, 5816, 547, 948, 8661, 519, 10131, 540, 1200, 5767, 5305, 267, 4201, 641, 1910, 540, 513, 1290, 539, 1014, 2336, 2005, 779, 513, 1483, 12257, 547, 581, 16823, 23784, 593, 6424, 779, 5816, 1107, 7064, 6424, 585, 519, 27592, 9462, 30904, 454, 296, 3357, 547, 1179, 5708, 1603, 3842, 513, 10169, 5547, 748, 8905, 543, 1131, 5581, 8885, 538, 602, 3006, 9597, 5652, 855, 2141, 3078, 7706, 540, 31832, 20108, 563, 2414, 2253, 609, 267, 594, 6557, 513, 31832, 20108, 950, 621, 2501, 547, 1106, 269, 594, 3323, 1250, 1603, 1272, 6140, 607, 513, 31075, 630, 327, 3058, 2097, 689, 606, 9117, 4282, 1070, 799, 1287, 6565, 4364, 883, 6965, 543, 5708, 269, 2755, 594, 6068, 547, 31163, 1076, 2984, 607, 513, 1126, 630, 7474, 2141, 8694, 609, 519, 8360, 281, 1656, 602, 568, 519, 1439, 540, 519, 1650, 264, 543, 729, 513, 642, 528, 20160, 5467, 267, 621, 3576, 803, 513, 1247, 547, 1265, 1250, 5708, 5639, 563, 7069, 4249, 6140, 723, 606, 3693, 540, 9059, 17779, 267, 30642, 1143, 610, 535, 5429, 1143, 1700, 6518, 2306, 513, 2603, 540, 2631, 547, 803, 607, 16222, 568, 513, 1747, 540, 1118, 3494, 269, 898, 2731, 568, 899, 3478, 547, 1404, 609, 630, 16058, 21092, 14386, 31119, 543, 688, 341, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20779, 517, 1108, 257, 607, 851, 540, 834, 11227, 1315, 12769, 738, 1299, 8111, 11499, 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, 808, 836, 572, 2426, 8381, 8364, 19133, 281, 589, 5530, 540, 11114, 28477, 3203, 692, 296, 269, 4985, 692, 1103, 1082, 4529, 1472, 519, 1158, 267, 1148, 5713, 607, 513, 1797, 540, 11589, 3838, 2418, 267, 4978, 267, 543, 5389, 269, 769, 9705, 267, 713, 666, 581, 2938, 998, 795, 836, 572, 31258, 267, 11308, 27369, 14326, 602, 723, 1044, 20077, 543, 5116, 693, 519, 8728, 540, 14252, 543, 10034, 2094, 3504, 2053, 269, 1452, 18810, 6039, 1312, 4052, 543, 5289, 5301, 267, 7863, 2950, 689, 9409, 14326, 1247, 849, 9117, 607, 6698, 540, 18497, 3961, 543, 17604, 269, 901, 3184, 12538, 883, 519, 3140, 4644, 267, 7499, 4162, 267, 543, 4207, 10083, 540, 891, 4241, 1568, 540, 12563, 1148, 780, 2862, 269, 8466, 19043, 692, 763, 8129, 540, 795, 836, 572, 31258, 666, 581, 14360, 1394, 547, 9705, 781, 8422, 3751, 20819, 1974, 630, 6872, 7460, 910, 476, 5780, 279, 5084, 1040, 2311, 602, 942, 267, 8498, 22242, 1131, 10243, 2199, 5159, 547, 1286, 557, 8825, 24587, 856, 540, 3574, 267, 799, 941, 1287, 8704, 693, 519, 6302, 540, 741, 17260, 269, 3683, 942, 267, 891, 25330, 7960, 883, 3982, 6237, 6163, 267, 10452, 519, 2189, 1915, 543, 1686, 540, 1142, 2146, 269, 1306, 971, 267, 795, 836, 572, 31258, 1683, 3407, 4030, 883, 519, 2686, 1646, 540, 9705, 2429, 922, 1279, 543, 1950, 1686, 780, 7656, 269, 3203, 2065, 18567, 692, 8601, 741, 9867, 23079, 267, 1034, 795, 836, 572, 31258, 2671, 1978, 10747, 2934, 269, 1358, 3335, 6813, 1480, 5515, 609, 27105, 11132, 7215, 267, 14302, 267, 543, 26430, 269, 4256, 17873, 949, 581, 18761, 610, 27390, 538, 6422, 13514, 267, 11021, 3350, 543, 1648, 269, 10705, 267, 789, 616, 24224, 609, 6946, 3270, 543, 18305, 6537, 689, 2470, 267, 971, 607, 5810, 267, 3762, 267, 543, 2831, 269, 3958, 267, 1082, 795, 836, 572, 31258, 7703, 1202, 18587, 13031, 1344, 827, 741, 15888, 267, 29123, 267, 543, 5497, 3252, 780, 4353, 269, 12634, 25684, 692, 9213, 267, 795, 836, 572, 31258, 3136, 547, 25407, 9458, 1312, 1369, 543, 3564, 9705, 269, 3509, 2950, 1869, 2226, 2757, 795, 836, 572, 31258, 607, 19644, 900, 21793, 540, 2199, 6561, 269, 11531, 267, 2413, 5159, 2721, 6667, 689, 891, 2085, 6040, 3029, 267, 6220, 873, 883, 1007, 1568, 602, 3717, 547, 4207, 2152, 543, 4145, 269, 1280, 1383, 267, 930, 4207, 795, 836, 572, 31258, 2232, 2825, 4798, 267, 28409, 13588, 547, 2149, 543, 8190, 9705, 781, 2067, 5898, 585, 2104, 5481, 780, 309, 269, 8865, 5525, 281, 31838, 6201, 540, 808, 836, 572, 2426, 8381, 8364, 19133, 692, 2414, 2417, 9414, 519, 3638, 4763, 543, 11972, 9029, 540, 795, 836, 572, 31258, 267, 1577, 721, 4983, 1896, 8037, 1806, 689, 1114, 4525, 540, 9705, 1384, 272, 269, 670, 1695, 4141, 22810, 808, 836, 572, 2426, 630, 4517, 784, 267, 3345, 717, 6614, 29330, 836, 19435, 2567, 1452, 18618, 25330, 267, 1634, 607, 12794, 543, 670, 5622, 267, 1796, 2366, 514, 601, 3544, 519, 13675, 547, 670, 1695, 4141, 22810, 267, 513, 20648, 2622, 11595, 13505, 4583, 585, 922, 1134, 25535, 5703, 2757, 6189, 269, 2961, 1386, 538, 519, 3735 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 602, 1279, 3856, 21467, 343, 16054, 540, 21110, 543, 4389, 2157, 540, 1322, 6856, 821, 616, 2404, 609, 519, 12614, 540, 519, 3676, 269, 1717, 267, 519, 1353, 540, 623, 4596, 338, 538, 519, 26707, 7434, 2860, 1981, 1058, 849, 581, 3144, 883, 6589, 540, 8377, 267, 5409, 1231, 6081, 8598, 267, 543, 5409, 663, 4088, 1143, 267, 799, 616, 849, 2934, 540, 623, 26714, 543, 1981, 2188, 585, 26707, 7434, 26217, 563, 1103, 519, 7681, 540, 623, 4596, 338, 543, 26707, 7434, 2860, 9019, 267, 519, 4387, 2319, 8612, 267, 972, 568, 1100, 2963, 547, 3095, 519, 2799, 9019, 689, 26707, 7434, 2860, 538, 2021, 609, 519, 6794, 563, 763, 1353, 2899, 1586, 556, 3530, 8787, 519, 3095, 540, 519, 21110, 3797, 1031, 538, 22797, 2021, 585, 519, 2126, 540, 2916, 2589, 269, 769, 824, 1913, 267, 1279, 3856, 1164, 2157, 540, 21110, 3379, 547, 1322, 6856, 821, 538, 519, 1560, 568, 519, 2101, 2014, 540, 26707, 7434, 2860, 563, 295, 2292, 568, 519, 14393, 31397, 1587, 1500, 676, 10987, 1210, 22060, 689, 5810, 563, 763, 3638, 11344, 5277, 898, 568, 2808, 835, 540, 2635, 6653, 1426, 585, 13868, 519, 946, 540, 3043, 4006, 543, 5841, 6653, 10273, 676, 1082, 1004, 563, 4002, 4466, 513, 2067, 12146, 610, 2898, 1426, 585, 519, 6604, 543, 2126, 540, 26707, 7434, 2860, 267, 3173, 8947, 519, 9932, 3310, 519, 522, 652, 4088, 545, 2534, 563, 763, 3114, 5888, 543, 519, 1761, 540, 5259, 9932, 21555, 630, 20321, 1889, 267, 12566, 543, 535, 597, 9932, 264, 941, 9286, 547, 6218, 519, 1034, 7409, 7480, 2534, 1996, 519, 26707, 7434, 2860, 2281, 1772, 327, 1731, 11867, 1899, 563, 15253, 1563, 547, 824, 9932, 267, 16815, 1889, 9932, 3157, 519, 5207, 2698, 4307, 21095, 267, 4307, 4301, 7408, 267, 543, 18038, 2096, 14007, 325, 584, 325, 1116, 563, 1320, 344, 1889, 9932, 7409, 1243, 519, 4082, 540, 1772, 327, 1731, 11867, 676, 4227, 519, 2860, 1591, 23812, 563, 11101, 267, 519, 3498, 540, 16815, 1889, 9932, 849, 25116, 513, 1713, 1198, 1996, 1772, 327, 1731, 11867, 543, 824, 2860, 1591, 3515, 676, 32485, 2860, 1591, 18735, 267, 1802, 1424, 30091, 543, 1591, 4783, 10654, 563, 293, 9801, 3467, 267, 519, 22629, 540, 774, 344, 1889, 9932, 849, 1336, 547, 2404, 609, 922, 1599, 538, 519, 25019, 540, 21110, 3842, 25244, 540, 519, 21110, 13805, 2534, 267, 607, 21110, 30748, 1235, 610, 21087, 1235, 538, 2860, 1591, 3515, 593, 513, 5160, 1826, 10391, 6073, 563, 763, 12117, 540, 16815, 1889, 9932, 4550, 26707, 7434, 2860, 729, 4440, 2404, 609, 922, 25168, 1156, 11169, 543, 4307, 4301, 7408, 630, 7079, 650, 545, 3679, 543, 1486, 11229, 32627, 545, 3679, 543, 533, 1015, 18038, 344, 17754, 15605, 545, 3679, 264, 607, 891, 7135, 723, 1044, 8810, 547, 21391, 2860, 5829, 11444, 543, 3157, 454, 4322, 2164, 8612, 602, 16815, 1889, 9932, 16913, 1591, 18735, 949, 581, 3730, 538, 2860, 6604, 267, 3226, 267, 538, 26707, 7434, 2860, 267, 1498, 621, 781, 30748, 1235, 270, 656, 6782, 1235, 3601, 563, 7804, 269, 25795, 26566, 752, 330, 7637, 267, 519, 1291, 10196, 538, 519, 3932, 540, 519, 1353, 1767, 267, 834, 9932, 267, 2523, 519, 16815, 1889, 9932, 267, 949, 581, 1031, 607, 606, 4244, 547, 4006, 267, 1247, 922, 25465, 538, 519, 1480, 2732, 610, 607, 513, 1426, 12146, 949, 2061, 2860, 5829, 3157, 267, 5009, 3976, 519, 1072, 540, 6800, 8487, 307, 2586, 15587, 267, 774, 344, 1889, 9932, 9268, 2101, 6915, 5562, 7135, 25168, 1156, 11169, 543, 4307, 4301, 7408, 949, 581, 2808, 513, 6198, 1426, 585, 519, 6604, 543, 5916, 609, 824, 3119, 3797, 585, 519, 2126, 540, 26707, 7434, 2860, 1510, 1802, 1424, 1022, 2427, 2360, 454, 20332, 6925, 585, 15310, 1399, 20506, 1656, 25667, 1234, 951, 531, 910, 634, 21829, 28454, 1677, 19793, 557, 8838, 2711, 2657, 1656, 700, 846, 13379, 454, 1692, 1677, 5192, 681, 573, 2986, 16685, 4469, 334, 11596, 454, 6944, 9009, 1677, 28968, 20530, 2109, 267, 4469, 334, 11596, 2052, 2142, 595, 3293, 28900, 454, 302, 341, 4115, 7261, 7370, 1656, 623, 26714, 26332, 1588, 454, 29804, 2065, 3590, 769, 1401, 14571, 2334, 4024, 8058, 1411, 1215, 1677, 454, 303, 9007, 1836, 26332, 3729, 2353, 9537, 540, 29191, 4115, 7261, 7370, 10738, 476, 273, 3933, 2195, 454, 12988, 547, 918, 1803, 808, 269, 17368, 517, 5851, 2457, 5291, 2517, 330, 1803, 329, 333, 677, 517, 269, 24108, 4944, 582, 28022, 454, 298, 1803, 808, 269, 17368, 517, 630, 306, 3273, 541, 267, 9457, 540, 12594, 267, 2353, 1318, 11603, 994, 10890, 2376, 5856, 543, 11001, 282, 3683, 476, 1015, 269, 1822, 4930, 543, 1382, 4574, 723, 1044, 2854, 543, 3370, 2228, 267, 1519, 5001, 1072, 267, 552, 345, 710, 4930, 267, 2376, 3490, 267, 1072, 21075, 267, 1582, 3766, 9512, 267, 1655, 1354, 621, 781, 3377, 267, 519, 737, 26147, 26838, 3232, 267, 3092, 1421, 563, 301, 3139, 570, 8008, 476, 2004, 631, 19075, 11536, 6347, 22076, 11123, 8121, 2316, 4306, 306, 1299, 27483, 295, 27633, 9215, 30426, 676, 2598, 559, 326, 1245, 2593, 715, 3139, 476, 2004, 540, 519, 1655, 1072, 570, 933, 4394, 4516, 910, 670, 4428, 15838, 5403, 454, 301, 558, 3990, 585, 2110, 344, 8366, 936, 2063, 476, 275, 1296, 454, 5278, 4930, 723, 1044, 1031, 607, 8100, 538, 2564, 1382, 267, 971, 607, 3486, 4760, 1912, 12609, 31192, 476, 6021, 278, 276, 268, 277, 3066, 280, 563, 263, 272, 264, 12713, 13808, 540, 5259, 9932, 21555, 593, 6089, 2860, 630, 10157, 293, 278, 1070, 17150, 2860, 630, 15425, 274, 264, 543, 26707, 7434, 2860, 630, 296, 3333, 1731, 11867, 264, 2281, 281, 28483, 2079, 540, 21555, 630, 10932, 19835, 264, 7300, 454, 263, 273, 264, 12443, 1097, 10973, 9065, 776, 6794, 543, 26707, 7434, 2860, 676, 18937, 541, 520, 333, 541, 1690, 1695, 681, 272, 267, 30346, 599, 32726, 267, 10434, 27332, 623, 269, 630, 23809, 994, 268, 634, 9137, 543, 12443, 1097, 10973, 29191, 4115, 15540, 630, 303, 4596, 264, 262, 338, 1382, 454, 268, 17667, 5682, 21281, 454, 268, 6468, 2657, 630, 272, 264, 15080, 454, 268, 634, 6468, 2657, 595, 9092, 3911, 26743, 773, 1394, 676, 21727, 320, 2483, 268, 24695, 1729, 652, 4088, 3194, 454, 268, 1677, 14673, 543, 13245, 16639, 630, 7021, 476, 1911, 271, 264, 31204, 994, 268, 6468, 781, 2657, 3194, 15080, 454, 268, 3683, 476, 9873, 271, 20226, 2657, 543, 3194, 15080, 2334, 15147, 16639, 543, 4173, 4472, 5709, 928 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1055, 257, 609, 454, 331, 18612, 9436, 693, 2834, 11996, 610, 789, 2196, 519, 1981, 540, 834, 337, 7342, 3819, 257, 543, 454, 1492, 14203, 12955, 269, 1703, 616, 1896, 5010, 856, 22327, 2066, 519, 2197, 602, 454, 32697, 3662, 5033, 523, 543, 6928, 621, 607, 1134, 563, 293, 549, 7999, 5033, 523, 5497, 585, 3486, 695, 3612, 1590, 454, 2041, 6394, 543, 6740, 693, 513, 22340, 22190, 28508, 9744, 269, 12968, 1695, 23932, 10742, 891, 454, 293, 549, 7999, 5033, 523, 5497, 585, 3486, 695, 3612, 1590, 454, 1889, 564, 519, 4170, 540, 519, 2197, 547, 799, 621, 568, 1373, 16865, 269, 10705, 267, 513, 454, 638, 5875, 710, 1974, 543, 1808, 7014, 616, 2838, 269, 898, 568, 519, 5539, 454, 1993, 519, 588, 718, 542, 8227, 547, 3489, 513, 11863, 547, 1104, 607, 1134, 607, 2327, 602, 782, 454, 322, 761, 4997, 616, 1558, 585, 13143, 540, 519, 5033, 523, 269, 1773, 4868, 540, 942, 1991, 547, 16171, 454, 29019, 581, 28286, 1540, 585, 891, 5773, 269, 634, 22340, 11721, 3985, 16943, 666, 581, 454, 638, 924, 5363, 538, 8159, 519, 10873, 540, 1585, 2477, 563, 295, 517, 1695, 23932, 568, 513, 22340, 2275, 1068, 1881, 9744, 267, 9516, 585, 454, 1492, 4015, 543, 4859, 540, 13792, 5033, 523, 5497, 585, 3486, 454, 1103, 2489, 267, 9268, 2269, 9749, 2196, 1063, 454, 259, 3374, 268, 259, 3583, 23995, 3863, 630, 20135, 1942, 1040, 11088, 267, 972, 568, 16854, 13260, 1759, 593, 454, 785, 1339, 588, 718, 542, 8390, 269, 2290, 666, 1544, 593, 7836, 1063, 1269, 1220, 271, 268, 259, 12573, 271, 547, 454, 335, 28558, 476, 2004, 2269, 9749, 267, 4470, 593, 519, 1297, 540, 24482, 2138, 850, 14203, 454, 335, 22004, 676, 602, 588, 718, 542, 543, 519, 10892, 540, 519, 521, 704, 3901, 9926, 10394, 547, 16171, 543, 454, 288, 15059, 540, 519, 1942, 5205, 912, 18871, 787, 641, 637, 3569, 630, 514, 11079, 4015, 267, 30112, 267, 543, 454, 347, 1805, 3863, 932, 1618, 630, 285, 1839, 260, 5403, 6253, 1177, 2138, 1006, 994, 28390, 736, 269, 876, 829, 12450, 454, 28390, 1015, 269, 876, 829, 12450, 454, 28390, 276, 269, 876, 829, 12450, 454, 16085, 18779, 19554, 2999, 476, 1911, 2269, 9749, 454, 347, 21652, 1782, 13927, 585, 5033, 523, 695, 3612, 281, 630, 514, 11079, 666, 3563, 454, 1370, 531, 855, 711, 2769, 13875, 610, 2011, 26708, 5279, 994, 347, 10890, 12501, 11607, 4139, 11288, 454, 28390, 1220, 269, 876, 910, 1269, 4335, 269, 876, 552, 320, 454, 347, 263, 320, 1269, 8517, 269, 876, 32479, 762, 16005, 585, 519, 11517, 695, 23124, 994, 32317, 267, 3635, 267, 8047, 2073, 2866, 547, 519, 943, 656, 558, 267, 543, 610, 3606, 454, 8518, 2401, 3790, 616, 711, 1651, 24231, 538, 519, 1657, 3902, 1592, 563, 295, 517, 1695, 23932, 267, 7193, 568, 606, 1226, 710, 9744, 4092, 454, 32191, 476, 736, 5195, 689, 519, 4099, 540, 24144, 267, 14822, 269, 634, 2259, 540, 454, 557, 614, 2435, 4915, 568, 3908, 14311, 547, 12093, 563, 7804, 269, 23436, 5450, 322, 2788, 22595, 543, 13333, 519, 9744, 269, 2701, 454, 516, 18727, 1200, 9457, 781, 4110, 538, 3115, 8793, 7736, 4531, 11659, 689, 17459, 5937, 32713, 543, 454, 615, 667, 30470, 4110, 689, 634, 9098, 5336, 776, 1633, 13636, 5441, 540, 27259, 454, 8469, 21778, 269, 3220, 269, 5450, 322, 2788, 6192, 1200, 22631, 1222, 693, 519, 8545, 543, 543, 814, 2094, 2676, 323, 22866, 1200, 942, 1063, 4357, 2259, 267, 1382, 538, 1808, 2127, 540, 454, 10517, 3174, 267, 543, 3450, 269, 0, 7197, 4620, 5411, 917, 602, 519, 2132, 540, 5614, 5503, 5210, 786, 849, 26558, 523, 519, 2132, 540, 21422, 543, 31153, 1813, 547, 7904, 553, 269, 1548, 1082, 5411, 1810, 1406, 917, 568, 602, 16310, 519, 16698, 267, 7904, 553, 666, 849, 3262, 3875, 3978, 3676, 543, 15495, 971, 607, 11746, 19095, 269, 4014, 7904, 553, 3100, 547, 3180, 606, 5580, 1688, 267, 707, 16943, 666, 948, 596, 3094, 519, 6370, 1996, 891, 10860, 454, 4415, 606, 2702, 547, 7914, 476, 1321, 268, 1240, 6279, 689, 513, 1796, 560, 650, 267, 519, 476, 272, 270, 279, 892, 1279, 1455, 3032, 7904, 320, 568, 835, 540, 519, 2182, 5006, 10860, 602, 938, 5243, 543, 7314, 786, 7237, 269, 1323, 14031, 585, 1973, 267, 606, 4608, 15967, 2702, 547, 16196, 267, 543, 513, 2110, 1272, 4783, 1118, 713, 21313, 2352, 547, 1852, 610, 30817, 269, 1548, 779, 8338, 267, 519, 7904, 553, 666, 4163, 3676, 602, 666, 1860, 938, 10130, 543, 721, 256, 1215, 666, 649, 948, 2149, 938, 5243, 543, 7314, 689, 713, 5993, 2367, 864, 888, 15703, 8536, 2249, 540, 7904, 553, 2291, 267, 855, 519, 3032, 7904, 320, 568, 519, 1034, 1455, 2429, 519, 2136, 2276, 543, 4516, 269, 30839, 593, 519, 1973, 540, 5243, 543, 7314, 267, 12212, 891, 7904, 553, 949, 1256, 3442, 547, 546, 710, 593, 721, 256, 2060, 513, 13283, 585, 3636, 4365, 543, 2362, 11195, 267, 7904, 553, 616, 1034, 1419, 11402, 1282, 519, 5614, 543, 4832, 3275, 269, 898, 949, 2097, 607, 1100, 9983, 547, 1082, 602, 519, 2810, 2518, 5210, 616, 561, 1263, 28517, 519, 7904, 320, 4005, 585, 1082, 10130, 2066, 519, 2136, 2276, 269, 769, 1840, 938, 3636, 5321, 538, 5162, 1711, 513, 561, 22133, 1604, 865, 7904, 553, 666, 3533, 1831, 513, 1032, 15778, 1966, 2336, 5629, 2937, 7904, 553, 4323, 707, 4620, 267, 596, 666, 2503, 547, 723, 7904, 320, 5798, 538, 519, 1604, 1369, 827, 476, 3607, 3108, 269, 1452, 1507, 1073, 14075, 5798, 786, 2887, 1055, 540, 519, 4620, 883, 519, 24095, 267, 28945, 267, 610, 13452, 543, 2965, 24011, 883, 12586, 1998, 3029, 540, 519, 7904, 320, 1369, 476, 272, 268, 1015, 2395, 269, 634, 12586, 1998, 3029, 786, 6108, 942, 544, 684, 4221, 593, 5214, 11935, 267, 971, 607, 4666, 2960, 2281, 543, 7904, 320, 13897, 269, 634, 16793, 1287, 1106, 9279, 9398, 689, 2326, 621, 9060, 538, 519, 1604, 269, 634, 2937, 7904, 553, 666, 2965, 24011, 856, 540, 519, 9279, 3019, 1369, 476, 272, 2034, 950, 25623, 676, 1769, 267, 3350, 267, 610, 3002, 269, 9717, 6099, 2175, 540, 11195, 543, 2837, 267, 713, 7904, 320, 1272, 4783, 666, 581, 6192, 538, 607, 2370, 607, 476, 1321, 2395, 2336, 24916, 741, 2702, 547, 16196, 3533, 267, 7904, 553, 849, 666, 16196, 538, 3592, 796, 19960, 514, 762, 2338, 269, 589, 2582, 4775, 7904, 320, 814, 519, 2702, 547, 2482, 827, 476, 1220, 271, 5798, 1282, 1200, 2110, 476, 1911, 1554, 10715, 543, 513, 1895, 540, 476, 1839, 4775, 7904, 553, 666, 2220, 749, 547, 5215, 538, 1175, 476, 1789, 2110, 2395, 256, 1677, 1118, 6927, 8338, 267, 2937, 7904, 553, 17663, 1175, 476, 276, 260, 540, 519, 2698, 7904, 320, 2551, 538, 519, 1604, 282, 811, 982, 476, 4817, 260, 616, 1459, 607, 5798, 267, 16793, 267, 610, 519, 25836, 9279, 3019, 563, 7212, 28349, 10130, 616, 519, 10689, 5658, 540, 513, 7904, 320, 23588, 267, 7904, 553, 849, 3142, 1896, 824, 4145, 547, 10130, 543, 741, 5411, 269, 27275, 28383, 540, 7904, 553, 666, 2965, 2014, 1762, 6539, 29181, 610, 29067, 543, 4587, 10130, 547, 1831, 606, 2438, 689, 1973, 2530, 269, 10552, 15495, 267, 607, 1134, 607, 15499, 15495, 267, 971, 607, 11746, 19095, 267, 616, 4122, 3262, 998, 7904, 553, 269, 2859, 3978, 11763, 3676, 540, 3425, 267, 971, 607, 11164, 4577, 20575, 543, 3032, 15072, 2068, 616, 849, 4448, 609, 891, 6263, 10860, 563, 293, 6136, 267, 2487, 8441, 538, 7904, 320, 1852, 2029, 723, 2016, 519, 4620, 8227, 513, 2647, 2039, 540, 2472, 602, 616, 711, 1152, 2500, 267, 855, 1360, 9543, 607, 1134, 269, 22034, 3604, 1063, 25850, 543, 5521, 17550, 267, 3056, 18915, 14453, 3549, 723, 2919, 1279, 9434, 5521, 15969, 585, 938, 10130, 563, 7212, 1082, 7904, 320, 1852, 2472, 666, 581, 1336, 538, 936, 519, 4831, 19093, 267, 4620, 5411, 616, 24016, 547, 1294, 741, 1920, 16943, 1354, 7446, 513, 1587, 269, 2368, 540, 519, 13851, 602, 666, 581, 1336, 538, 17365, 8637, 267, 7641, 18537, 543, 2527, 22278, 1058, 711, 581, 1031, 593, 1978, 10130, 267, 971, 607, 7314, 563, 763, 7904, 320, 1852, 2472, 602, 616, 5227, 676, 14830, 12579, 723, 3606, 2640, 1657, 1852, 540, 519, 2937, 7904, 553, 269, 1452, 2472, 786, 2965, 948, 547, 2736, 519, 1272, 4783, 540, 519, 7904, 320, 676, 11318, 519, 2937, 7904, 320, 1354, 789, 723, 942, 547, 16196, 269, 4107, 7904, 320, 2472, 4421, 693, 14830, 12579, 786, 2965, 6146, 519, 2937, 7904, 553, 1369, 476, 2190, 3108, 540, 3498, 543, 713, 3432, 540, 6146, 2337, 2061, 519, 8951, 689, 18413, 5798, 563, 7312, 16943, 666, 948, 596, 6430, 1018, 1587, 568, 2469, 547, 581, 1655, 585, 596, 1759, 593, 1896, 2188, 281, 1018, 1826, 540, 10130, 596, 723, 267, 1018, 851, 540, 519, 2197, 596, 2661, 538, 267, 543, 1018, 824, 15495, 707, 10130, 616, 6534, 547, 22991, 269, 1306, 606, 3773, 22429, 267, 707, 16943, 568, 2139, 547, 596, 952, 596, 723, 4145, 827, 519, 2773, 540, 519, 7904, 320, 2472, 563, 306, 7428, 942, 1797, 7836, 6266, 540, 942, 13964, 609, 707, 10130, 269, 2142, 2386, 547, 1294, 707, 1920, 16943, 585, 15324, 6646, 543, 3643, 8940, 269, 7069, 309, 13585, 2593, 547, 1451, 811, 827, 875, 891, 13311, 14538, 666, 1860, 707, 10130, 269, 0, 13146, 1382, 814, 12006, 602, 7296, 538, 6517, 568, 513, 2707, 540, 1713, 2034, 11804, 8673, 4598, 585, 1453, 3056, 547, 7125, 689, 1072, 2516, 585, 519, 4367, 540, 4031, 547, 7333, 7296, 538, 6472, 538, 799, 1453, 616, 15915, 269, 272, 267, 273, 1703, 814, 267, 2705, 267, 1044, 9645, 7521, 827, 519, 26350, 540, 9086, 8957, 1857, 2069, 593, 519, 3390, 563, 1103, 476, 1220, 278, 543, 476, 1220, 279, 267, 519, 9435, 7027, 5375, 5245, 4607, 513, 5818, 538, 7616, 689, 519, 5375, 8241, 4972, 540, 2657, 547, 2196, 513, 3126, 540, 2923, 11044, 5373, 3007, 547, 519, 1072, 2360, 540, 2034, 11804, 8673, 543, 5466, 1455, 14868, 543, 20887, 827, 875, 547, 2149, 1453, 689, 4598, 547, 621, 269, 634, 1292, 5048, 540, 519, 11044, 729, 2048, 13014, 707, 1753, 543, 1286, 8673, 6954, 9957, 634, 11044, 6913, 930, 2318, 2164, 609, 3237, 26906, 2022, 2275, 2086, 5218, 338, 2921, 3063, 1416, 547, 2149, 741, 3214, 689, 4598, 547, 2034, 1688, 8673, 543, 267, 538, 930, 2665, 4227, 610, 29655, 7296, 15587, 563, 26212, 547, 519, 11044, 267, 3237, 945, 28655, 941, 23500, 630, 333, 284, 6200, 1040, 589, 12102, 630, 280, 8472, 10645, 547, 8673, 3330, 741, 5321, 855, 513, 1454, 2362, 8167, 630, 2004, 8472, 4080, 7296, 3330, 6472, 7488, 540, 2436, 1453, 941, 1459, 6028, 3152, 9165, 585, 24040, 1689, 269, 274, 24028, 903, 540, 3237, 945, 28655, 5342, 1310, 1142, 5951, 540, 2923, 10229, 630, 333, 284, 3707, 282, 562, 284, 4350, 282, 562, 284, 1220, 264, 1336, 513, 6749, 538, 4080, 7296, 538, 6472, 2048, 520, 782, 685, 3379, 547, 476, 2004, 260, 840, 2275, 2086, 5218, 630, 24859, 476, 272, 281, 476, 4391, 260, 282, 5951, 476, 273, 281, 476, 2412, 260, 282, 5951, 476, 274, 281, 476, 4510, 22103, 274, 267, 275, 634, 3604, 538, 891, 17114, 538, 519, 1614, 6329, 941, 711, 19250, 1713, 630, 335, 285, 271, 269, 4962, 1040, 29007, 1689, 540, 713, 1931, 267, 3226, 602, 2938, 1310, 519, 1101, 5951, 540, 10229, 267, 568, 8966, 585, 1857, 2069, 11044, 2016, 519, 3908, 23348, 269, 3117, 11962, 609, 1239, 593, 7296, 7180, 538, 519, 1753, 267, 519, 5318, 5354, 540, 17013, 1705, 711, 1450, 7296, 3330, 519, 6174, 950, 1875, 23337, 758, 619, 941, 1459, 630, 24859, 476, 272, 281, 476, 6434, 260, 282, 5951, 476, 273, 281, 476, 10436, 260, 282, 5951, 476, 274, 281, 476, 10019, 15992, 2523, 1453, 630, 24859, 476, 272, 281, 476, 4817, 260, 282, 5951, 476, 273, 281, 476, 11463, 260, 282, 5951, 476, 274, 281, 476, 10844, 22103, 275, 1703, 941, 1100, 1713, 3604, 538, 891, 17114, 538, 519, 1614, 6329, 563, 15239, 11383, 267, 6268, 540, 519, 11044, 12006, 5571, 991, 585, 2069, 547, 2232, 19451, 4978, 1851, 930, 3237, 827, 519, 10898, 540, 2034, 11804, 8673, 585, 1453, 267, 543, 602, 972, 941, 2312, 7182, 547, 1018, 1223, 581, 6913, 998, 3872, 4485, 4805, 281, 1453, 3136, 547, 581, 882, 5050, 593, 3237, 543, 1416, 3464, 547, 32380 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 780, 4089, 476, 274, 281, 17583, 547, 7351, 12367, 543, 7464, 21509, 10241, 692, 1607, 3803, 3296, 7710, 6402, 1063, 19360, 545, 11951, 543, 6626, 4207, 1426, 5322, 267, 11744, 10083, 3564, 922, 6237, 2796, 269, 11762, 1331, 1384, 272, 269, 12655, 10068, 2853, 910, 19360, 781, 3743, 2359, 540, 7286, 2200, 20383, 609, 2518, 3646, 547, 3895, 4264, 16872, 4616, 543, 2149, 5836, 8134, 563, 273, 269, 12426, 3562, 2389, 762, 18226, 2833, 910, 3509, 14060, 2066, 19360, 12840, 2047, 609, 6705, 267, 29940, 267, 543, 585, 6162, 267, 4180, 10250, 1464, 543, 11413, 538, 3761, 11800, 1247, 5885, 2199, 11615, 563, 274, 269, 20023, 2914, 4292, 7341, 910, 1306, 4656, 9428, 3823, 1426, 3653, 543, 922, 2825, 5222, 267, 19360, 545, 22730, 9784, 9224, 3562, 2389, 841, 543, 3597, 3562, 6122, 2378, 24866, 267, 1065, 584, 19397, 1131, 15515, 1167, 1841, 883, 6427, 633, 8286, 563, 275, 269, 7233, 2861, 543, 20757, 3681, 910, 2755, 13840, 882, 5050, 593, 3662, 5946, 267, 2413, 19360, 545, 3434, 2044, 1631, 16621, 3309, 2030, 268, 3453, 10346, 23695, 547, 9687, 8192, 7375, 543, 4145, 827, 2916, 1689, 563, 276, 269, 9061, 14426, 5385, 543, 12760, 910, 19360, 545, 11951, 2640, 689, 27614, 525, 540, 4914, 3310, 4547, 676, 11082, 267, 14666, 267, 543, 9683, 22730, 267, 23429, 519, 11477, 5251, 998, 3838, 1702, 543, 10316, 13144, 780, 3528, 4974, 19360, 545, 11951, 1369, 713, 6626, 2796, 267, 1053, 786, 1732, 5660, 922, 4644, 543, 1761, 3156, 538, 741, 1378, 2729, 543, 2950, 267, 2436, 607, 14971, 22730, 267, 5483, 6800, 267, 610, 15156, 585, 4264, 8819, 1258, 5669, 2853, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 22952, 17897, 454, 268, 8262, 12267, 454, 268, 7377, 9177, 454, 268, 11473, 10632, 454, 8340, 519, 7454, 1546, 1023, 593, 7195, 328, 28820, 566, 13268, 1137, 454, 309, 659, 566, 532, 538, 7195, 328, 568, 513, 5326, 585, 1082, 17631, 269, 2060, 922, 10875, 17822, 267, 18932, 795, 2426, 956, 267, 543, 7524, 2528, 267, 621, 779, 1100, 4898, 1946, 865, 1082, 1004, 26600, 547, 713, 24414, 6532, 269, 1809, 609, 865, 1082, 3681, 2139, 267, 621, 666, 581, 2182, 547, 1265, 519, 1655, 9388, 593, 7195, 328, 16314, 15004, 269, 3371, 616, 930, 4388, 547, 948, 596, 1205, 519, 1034, 856, 540, 707, 7552, 563, 763, 1655, 1259, 547, 1205, 519, 1655, 9388, 593, 7195, 328, 16314, 15004, 568, 547, 1433, 2038, 269, 31245, 4043, 547, 979, 909, 607, 519, 2951, 4266, 4485, 267, 865, 1433, 532, 693, 2547, 1079, 3275, 538, 4434, 666, 948, 596, 4688, 2724, 269, 3958, 267, 1433, 532, 2038, 3947, 596, 811, 942, 547, 1382, 543, 5635, 5777, 689, 1114, 21527, 269, 901, 786, 2327, 602, 596, 1205, 519, 1034, 1871, 585, 707, 2724, 563, 16100, 585, 5494, 870, 338, 543, 8871, 19600, 454, 6624, 2951, 3549, 2709, 28774, 543, 3260, 687, 2429, 519, 1032, 269, 898, 779, 2141, 513, 1434, 2856, 547, 1832, 606, 3750, 856, 585, 891, 3091, 267, 607, 789, 666, 948, 596, 521, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 296, 576, 1633, 545, 28690, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 4139, 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, 589, 1906, 1296, 3516, 267, 594, 1336, 8885, 7184, 19832, 676, 519, 3638, 1686, 543, 2528, 540, 1250, 2197, 267, 799, 3366, 803, 547, 1020, 606, 8966, 15908, 910, 15224, 31986, 543, 12319, 269, 898, 782, 3323, 950, 594, 10272, 513, 7404, 3140, 3135, 267, 799, 729, 14605, 9738, 1813, 547, 3668, 540, 7616, 269, 901, 17275, 1945, 1369, 803, 267, 543, 594, 4956, 547, 1491, 6927, 883, 1250, 1378, 3946, 676, 25643, 891, 4609, 998, 11147, 543, 4687, 741, 2984, 593, 1514, 2923, 5867, 269, 3733, 3804, 729, 2241, 910, 6318, 4656, 827, 938, 16618, 6561, 543, 3565, 547, 922, 11091, 780, 3080, 1554, 267, 1247, 9683, 513, 1507, 855, 1713, 3084, 15224, 267, 594, 16686, 2390, 606, 6397, 4161, 269, 634, 15224, 1185, 1044, 642, 663, 531, 1242, 282, 1178, 29201, 4988, 1034, 2694, 540, 621, 267, 8297, 1456, 711, 1152, 922, 5920, 855, 849, 922, 3140, 4644, 269, 9839, 15842, 5287, 267, 594, 3576, 5961, 543, 11540, 873, 2228, 267, 15691, 585, 930, 948, 689, 8128, 610, 7255, 4961, 269, 1677, 1250, 9983, 267, 1004, 15527, 1252, 3585, 256, 1358, 6035, 2883, 6351, 607, 1134, 607, 24749, 741, 942, 547, 2973, 543, 11177, 519, 15224, 780, 1607, 856, 335, 28666, 540, 1489, 1500, 803, 8275, 519, 1761, 1379, 540, 1367, 2962, 5916, 609, 7580, 3800, 269, 3371, 781, 875, 1114, 2798, 5018, 538, 707, 1592, 5129, 856, 538, 713, 9183, 1384, 272, 269, 6554, 8750, 532, 281, 4014, 972, 7012, 1405, 2614, 14305, 7620, 267, 2899, 789, 4718, 1857, 1719, 543, 9525, 267, 3606, 7482, 941, 5950, 585, 11808, 960, 563, 273, 269, 17721, 5213, 725, 1299, 11483, 305, 281, 5899, 13377, 543, 4213, 22283, 4464, 5356, 2724, 543, 2200, 585, 7738, 2326, 267, 3937, 267, 543, 1256, 3656, 2533, 605, 13755, 334, 563, 274, 269, 6182, 1218, 543, 4427, 338, 573, 625, 281, 16270, 1565, 827, 1250, 3646, 267, 1896, 18758, 3906, 14059, 803, 609, 9886, 3255, 4481, 6322, 693, 8978, 11091, 3785, 563, 275, 269, 12525, 769, 1417, 1161, 281, 24371, 945, 8329, 4607, 3454, 17429, 2388, 267, 2417, 30070, 873, 547, 7119, 563, 276, 269, 7736, 578, 906, 281, 2755, 1100, 6101, 1439, 578, 618, 729, 3964, 1934, 267, 18596, 23190, 24458, 4797, 5826, 2022, 3146, 560, 2610, 563, 277, 269, 7991, 22580, 281, 26361, 782, 3116, 267, 1018, 11542, 856, 729, 519, 6909, 6278, 689, 17137, 16462, 547, 2149, 543, 8190, 938, 7104, 1686, 780, 7069, 1995, 7152, 602, 1169, 1268, 814, 513, 1909, 547, 1404, 538, 7863, 938, 3084, 16782, 269, 3414, 5698, 1063, 13730, 2043, 267, 2950, 267, 543, 6608, 267, 649, 666, 2327, 891, 21056, 2611, 7555, 7381, 585, 2104, 5481, 547, 5660, 543, 1451, 689, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 18658, 3268, 666, 581, 3144, 693, 519, 2199, 610, 3084, 1377, 547, 20019, 1489, 519, 11091, 543, 4027, 540, 3084, 20375, 888, 272, 269, 21561, 2229, 7616, 281, 22749, 666, 21138, 811, 7482, 2509, 519, 11091, 543, 4027, 540, 3084, 20375, 780, 273, 269, 11559, 4357, 23190, 281, 22749, 666, 5000, 4357, 2043, 543, 3906, 547, 24946, 7482, 2509, 519, 11091, 543, 4027, 540, 3084, 20375, 780, 274, 269, 6182, 1218, 543, 24307, 281, 22749, 666, 2709, 14828, 543, 24307, 547, 2043, 543, 3906, 7722, 538, 519, 11091, 543, 4027, 540, 3084, 20375, 780, 275, 269, 12525, 15314, 281, 22749, 666, 2709, 3454, 15314, 547, 2043, 543, 3906, 602, 24946, 2509, 519, 11091, 543, 4027, 540, 3084, 20375, 780, 276, 269, 7736, 578, 906, 281, 22749, 666, 1305, 909, 8628, 1439, 578, 906, 602, 5352, 4747, 547, 581, 1031, 2509, 519, 11091, 543, 4027, 540, 3084, 20375, 780, 277, 269, 23654, 4317, 26930, 630, 5425, 305, 2567, 11283, 725, 666, 581, 5000, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 6092, 5149, 281, 834, 763, 10162, 2130, 3828, 550, 625, 543, 19901, 9177, 538, 4516, 5016, 7072, 912, 5970, 596, 2479, 9289, 1018, 1272, 729, 899, 585, 23671, 1282, 519, 476, 4572, 271, 338, 286, 4746, 1634, 607, 519, 834, 305, 334, 2130, 3828, 550, 625, 2437, 713, 8717, 729, 4904, 609, 4028, 1514, 1689, 267, 7499, 5647, 267, 543, 3395, 7082, 2528, 256, 2913, 781, 4685, 883, 875, 891, 2242, 4299, 4948, 1272, 2066, 4516, 780, 4089, 476, 272, 281, 17553, 519, 8609, 1107, 5020, 2991, 2622, 2782, 594, 454, 5475, 519, 1439, 540, 2622, 2782, 594, 538, 476, 4489, 279, 267, 1082, 23671, 941, 11235, 547, 1847, 4464, 543, 4734, 3297, 519, 23434, 789, 1185, 4810, 269, 1306, 7980, 8120, 1753, 267, 4872, 9450, 267, 6080, 1630, 15701, 267, 543, 2029, 4359, 6385, 269, 1715, 18563, 971, 607, 2234, 3930, 267, 7658, 10746, 267, 26873, 267, 543, 5163, 5961, 2968, 811, 28125, 267, 13321, 2792, 543, 6283, 269, 1452, 7760, 4547, 827, 1713, 10593, 538, 2486, 543, 3232, 1272, 267, 1519, 2799, 10333, 547, 1344, 543, 9913, 780, 4089, 476, 273, 281, 9373, 532, 519, 13642, 6520, 540, 31055, 454, 2026, 4213, 8057, 543, 6735, 14556, 1881, 267, 3549, 3459, 10115, 8185, 538, 10229, 11044, 602, 4300, 4705, 547, 6800, 262, 13821, 585, 29678, 543, 17195, 269, 16685, 2275, 10248, 19297, 267, 6952, 344, 1793, 690, 753, 267, 543, 9565, 28910, 23596, 906, 1303, 5367, 5561, 547, 4444, 9241, 2139, 2472, 269, 2060, 8375, 13848, 543, 4824, 2324, 2175, 267, 8723, 4961, 1631, 1185, 25551, 4747, 547, 6108, 593, 1875, 24207, 3688, 269, 15733, 24132, 689, 7802, 267, 30143, 267, 543, 7622, 14233, 547, 9162, 267, 2835, 267, 543, 5638, 780, 7078, 281, 634, 8177, 540, 15571, 454, 3080, 14262, 8798, 540, 519, 5736, 729, 519, 5925, 269, 1280, 1175, 513, 1906, 9489, 829, 3923, 267, 3885, 1223, 19820, 538, 547, 741, 5172, 10473, 543, 6432, 547, 2575, 267, 3377, 13739, 338, 267, 18792, 2982, 267, 543, 5026, 2621, 1318, 538, 741, 2713, 11623, 256, 14992, 4166, 7691, 602, 2234, 3930, 3177, 873, 609, 1463, 1569, 547, 1761, 5561, 269, 1358, 3323, 13384, 1681, 3292, 543, 2011, 5503, 27061, 267, 3850, 22099, 547, 3914, 6634, 540, 19700, 18487, 269, 1635, 5009, 1585, 5370, 998, 19278, 12043, 267, 4213, 6707, 2813, 3747, 1256, 1851, 1346, 945, 7620, 2219, 789, 4769, 1405, 991, 891, 3209, 1399, 3688, 780, 4089, 476, 274, 281, 21744, 4317, 18868, 454, 26589, 2515, 2804, 2208, 3357, 13346, 2686, 8155, 543, 2418, 269, 8479, 518, 5481, 17947, 1007, 6163, 538, 6752, 267, 7544, 267, 3332, 267, 4670, 267, 543, 3308, 6575, 1765, 21865, 5219, 547, 607, 519, 834, 297, 9579, 6520, 257, 1765, 6112, 4587, 5481, 17388, 547, 3082, 269, 6468, 6591, 3152, 5191, 543, 7115, 7064, 547, 11636, 5322, 14957, 585, 2021, 781, 2924, 543, 27049, 269, 3958, 267, 20012, 3366, 547, 519, 11944, 540, 3309, 2950, 1369, 2101, 4872, 267, 2417, 12018, 7082, 3466, 543, 7375, 780, 12244, 22830, 912, 19667, 728, 707, 1362, 883, 1507, 2516, 543, 3651, 1142, 1895, 513, 1808, 1587, 2442, 1282, 519, 10162, 2130, 3828, 550, 625, 630, 324, 3052, 1421, 6517, 267, 30143, 267, 610, 13093, 1748, 5716, 1040, 17130, 873, 609, 2870, 513, 2110, 6881, 15386, 606, 16494, 740, 5859, 13389, 14038, 538, 4516, 1210, 2553, 11342, 1282, 602, 942, 269, 11559, 5876, 1247, 10771, 3140, 2796, 2439, 6962, 912, 763, 10162, 2130, 3828, 550, 625, 6825, 513, 11358, 4090, 538, 4516, 781, 1686, 267, 6353, 676, 13884, 267, 6639, 3356, 267, 543, 9687, 7082, 6208, 269, 3414, 1620, 713, 4241, 5736, 267, 649, 666, 5660, 922, 9434, 1764, 593, 4207, 2486, 543, 5431, 519, 13654, 2609, 602, 8032, 938, 2413, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 294, 2940, 30688, 1299, 3778, 8249, 454, 263, 11762, 2334, 19634, 333, 2859, 982, 2290, 19435, 12467, 3682, 9109, 1017, 267, 27391, 531, 543, 13636, 8249, 454, 19447, 10498, 910, 744, 4226, 340, 2456, 3245, 8225, 3465, 2421, 614, 1014, 11270, 25025, 476, 6942, 273, 268, 6245, 277, 454, 3528, 18496, 589, 269, 21025, 20044, 773, 454, 13775, 676, 6820, 11595, 4964, 267, 31747, 267, 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 ]
[ 634, 10418, 267, 19890, 267, 568, 1360, 7199, 3902, 267, 4742, 1714, 527, 626, 267, 23695, 547, 519, 3638, 543, 4583, 267, 6140, 269, 1703, 568, 513, 8594, 540, 4929, 24431, 30146, 1317, 540, 519, 9228, 26846, 269, 8616, 267, 789, 798, 8300, 513, 19818, 585, 1702, 540, 519, 28763, 4472, 1695, 267, 2394, 835, 8255, 856, 540, 2724, 563, 27269, 519, 1919, 649, 1810, 1406, 899, 827, 824, 1004, 616, 513, 8086, 540, 938, 1378, 2152, 610, 538, 572, 15247, 269, 476, 276, 269, 5213, 1406, 2119, 547, 1689, 1004, 269, 898, 568, 711, 938, 2816, 547, 1689, 824, 1004, 269, 1284, 666, 2709, 5796, 267, 1291, 676, 1383, 267, 543, 8300, 1004, 267, 855, 621, 568, 909, 547, 1142, 1367, 1268, 547, 6430, 547, 2087, 741, 2729, 269, 2913, 1004, 723, 4055, 547, 581, 945, 789, 616, 563, 527, 1345, 269, 1403, 519, 2012, 3568, 962, 617, 267, 1261, 327, 267, 610, 966, 879, 267, 789, 1590, 2408, 12341, 22290, 519, 476, 275, 4484, 2012, 269, 634, 476, 3583, 628, 2012, 568, 2016, 519, 1101, 14235, 689, 19606, 267, 799, 1281, 711, 2270, 519, 476, 275, 5022, 2012, 540, 2696, 267, 855, 1281, 2270, 519, 1614, 5022, 540, 519, 476, 3583, 628, 2012, 269, 5565, 824, 454, 2171, 4312, 1688, 335, 17673, 476, 3066, 1644, 2055, 585, 596, 267, 2147, 547, 16938, 3963, 18085, 649, 1413, 693, 519, 7599, 737, 629, 4472, 1695, 286, 14872, 865, 596, 666, 15983, 1265, 519, 2626, 2336, 1692, 547, 1921, 519, 737, 629, 4472, 1695, 2699, 5569, 538, 2407, 7599, 2592, 888, 11997, 267, 649, 2322, 621, 593, 519, 2451, 1688, 865, 602, 8164, 649, 7287, 1945, 267, 1413, 693, 1945, 267, 1616, 1945, 267, 649, 1413, 693, 519, 4414, 21642, 543, 946, 621, 607, 513, 6882, 610, 513, 12576, 547, 6615, 519, 2677, 790, 547, 25547, 633, 585, 519, 8682, 1325, 821, 269, 634, 2681, 2699, 4564, 519, 2677, 790, 547, 25547, 633, 543, 519, 2451, 4564, 2677, 790, 547, 25547, 633, 865, 267, 14263, 7132, 14263, 2141, 3947, 721, 7132, 269, 3143, 2800, 786, 4755, 950, 596, 2322, 519, 4414, 21642, 593, 519, 1318, 1688, 267, 855, 737, 629, 4472, 12264, 267, 649, 1131, 899, 547, 4309, 519, 5021, 4324, 4429, 1692, 547, 1921, 519, 737, 629, 4472, 1695, 2699, 5569, 538, 2407, 7599, 5961, 888, 763, 4414, 21642, 14014, 721, 689, 6857, 1299, 17499, 588, 4100, 269, 898, 568, 12816, 593, 519, 2451, 21015, 267, 2451, 8204, 519, 7287, 547, 4309, 267, 4061, 2870, 513, 8825, 13104, 602, 535, 1742, 1055, 2942, 1648, 269, 968, 288, 1268, 22234, 540, 606, 2048, 5271, 559, 3750, 685, 11438, 609, 1864, 30983, 1299, 679, 11803, 267, 513, 21006, 3196, 269, 2142, 593, 707, 9856, 711, 547, 2097, 2282, 1864, 563, 1432, 21015, 798, 596, 5957, 513, 737, 629, 4472, 1695, 25231, 2280, 593, 519, 7599, 888, 11997, 267, 9849, 513, 737, 629, 4472, 1695, 25231, 2280, 786, 2149, 596, 689, 9409, 3750, 1175, 899, 519, 554, 4461, 320, 543, 519, 9409, 3750, 25231, 2280, 269, 898, 568, 849, 1360, 2653, 547, 5957, 630, 26238, 596, 1152, 991, 547, 17063, 621, 1472, 707, 21015, 264, 543, 666, 581, 6752, 762, 1932, 269, 898, 568, 2653, 547, 2149, 3054, 689, 519, 9409, 4229, 971, 607, 16160, 4229, 267, 2942, 1648, 543, 519, 9409, 3750, 267, 713, 568, 4429, 1432, 1281, 513, 737, 629, 4472, 1695, 25231, 2280, 1413, 899, 593, 21015, 888, 763, 28763, 4472, 1695, 2699, 5569, 25231, 2280, 568, 513, 1106, 540, 9409, 3750, 4027, 269, 898, 568, 13615, 1472, 519, 21015, 547, 1219, 937, 891, 2942, 19367, 630, 17141, 1394, 547, 519, 1268, 547, 5641, 539, 873, 268, 930, 1004, 1289, 621, 968, 330, 12609, 892, 1916, 1432, 1281, 519, 737, 629, 4472, 1695, 554, 4461, 320, 3170, 9874, 1688, 2495, 1413, 888, 763, 670, 4461, 320, 568, 606, 3504, 5664, 8109, 993, 340, 2280, 29544, 519, 7435, 540, 2696, 269, 769, 782, 5132, 338, 621, 568, 513, 8825, 1129, 269, 898, 6770, 621, 781, 8227, 8788, 267, 9939, 267, 1072, 267, 543, 1434, 19539, 269, 634, 554, 4461, 320, 1688, 568, 1634, 676, 1082, 4408, 910, 554, 4461, 320, 267, 554, 4461, 320, 1688, 267, 554, 1868, 327, 267, 554, 1868, 327, 1688, 267, 737, 327, 4461, 320, 267, 543, 669, 4461, 320, 563, 21581, 2626, 281, 1548, 666, 4755, 952, 596, 1413, 2047, 693, 519, 3859, 24256, 454, 1432, 1281, 513, 737, 629, 4472, 1695, 25231, 2280, 1413, 899, 538, 519, 23573, 888, 10907, 1484, 519, 8608, 267, 9118, 2367, 543, 2021, 267, 7642, 543, 1875, 11219, 31974, 267, 5957, 513, 28763, 4472, 1695, 25231, 2280, 593, 741, 2451, 21015, 269, 634, 2699, 5569, 25231, 2280, 568, 519, 14724, 267, 1034, 1455, 4528, 540, 519, 28763, 4472, 1695, 14446, 269, 898, 568, 5156, 547, 20758, 1055, 519, 2360, 540, 519, 9409, 3750, 543, 2721, 2318, 1648, 563, 298, 629, 4472, 1695, 910, 1018, 568, 737, 629, 4472, 1695, 888, 298, 629, 4472, 1695, 568, 606, 3504, 5289, 7326, 602, 16877, 721, 547, 2087, 938, 2729, 267, 3605, 938, 3483, 267, 543, 3035, 519, 9434, 20106, 649, 616, 5921, 547, 4309, 269, 1284, 2291, 547, 7668, 8103, 547, 3035, 3020, 20106, 543, 5000, 7279, 1299, 22371, 563, 21581, 2626, 281, 4208, 666, 649, 1294, 519, 7599, 1282, 519, 1554, 888, 23737, 737, 629, 4472, 1695, 910, 1018, 568, 737, 629, 4472, 1695, 888, 2414, 5700, 28763, 4472, 1695, 568, 547, 14970, 28763, 4472, 6750, 344, 269, 28763, 4472, 1695, 568, 6010, 2989, 547, 519, 605, 14620, 658, 834, 29728, 540, 1272, 1701, 898, 568, 513, 1353, 540, 1272, 267, 543, 1175, 607, 1272, 3112, 581, 6594, 998, 513, 1837, 855, 998, 2713, 3294, 267, 865, 1932, 267, 519, 1353, 540, 28763, 4472, 1695, 568, 2500, 1152, 998, 519, 16566, 540, 922, 10752, 538, 938, 4948, 2729, 563, 298, 629, 4472, 1695, 4214, 910, 1018, 568, 737, 629, 4472, 1695, 888, 1432, 568, 28763, 4472, 1695, 286, 1107, 28763, 4472, 1695, 9502, 269, 1548, 568, 28763, 4472, 1695, 286, 28763, 4472, 1695, 568, 606, 3504, 7326, 2245, 269, 4706, 5072, 616, 5215, 540, 1296, 2025, 31827, 689, 519, 22560, 20324, 1043, 543, 519, 7326, 540, 14062, 267, 15584, 267, 543, 519, 3504, 28556, 269, 28763, 4472, 1695, 4214, 281, 28763, 4472, 1695, 1419, 4330, 607, 513, 1106, 540, 6014, 7793, 6291, 267, 610, 607, 519, 10703, 4705, 6418, 3344, 540, 519, 6014, 2245, 269, 901, 1702, 568, 3015, 547, 4896, 609, 513, 25442, 7287, 547, 1451, 267, 543, 519, 1318, 4116, 607, 513, 3391, 563, 298, 629, 4472, 1695, 9623, 910, 1018, 568, 737, 629, 4472, 1695, 888, 298, 629, 4472, 1695, 568, 513, 1505, 676, 799, 1022, 1268, 666, 12492, 513, 2362, 1377, 540, 4641, 269, 1496, 307, 11548, 901, 316, 898, 568, 1271, 547, 4063, 602, 621, 568, 513, 1505, 267, 606, 12170, 1505, 267, 711, 513, 3661, 269, 4746, 267, 1022, 1268, 666, 1353, 621, 267, 7488, 540, 5198, 267, 4008, 610, 22874, 269, 834, 4263, 24287, 257, 1797, 513, 2312, 8226, 543, 14815, 267, 711, 606, 2856, 267, 3069, 610, 6138, 563, 21581, 2626, 281, 4208, 666, 1775, 1294, 519, 7599, 538, 519, 1554, 942, 888, 298, 629, 4472, 1695, 2495, 910, 1018, 568, 737, 629, 4472, 1695, 888, 763, 3483, 540, 519, 28763, 4472, 1695, 568, 9808, 9853, 609, 20887, 269, 589, 2442, 3765, 24483, 568, 602, 519, 1353, 540, 28763, 4472, 1695, 568, 5921, 547, 2981, 835, 883, 513, 2618, 545, 267, 610, 5310, 513, 804, 1515, 341, 1195, 656, 267, 5827, 540, 14393, 31397, 543, 824, 16447, 569, 5759, 269, 901, 267, 2705, 267, 568, 513, 31605, 269, 634, 10700, 3483, 538, 519, 1353, 540, 28763, 4472, 1695, 568, 519, 19870, 540, 519, 8682, 563, 298, 629, 4472, 1695, 910, 1058, 1775, 1353, 737, 629, 4472, 1695, 888, 298, 629, 4472, 1695, 910, 9701, 594, 5530, 28763, 4472, 1695, 286, 476, 1220, 271, 1296, 3516, 594, 5030, 607, 15243, 543, 729, 1634, 607, 519, 7015, 540, 8786, 327, 7699, 269, 1306, 10567, 267, 30616, 814, 12199, 519, 12271, 543, 8186, 540, 21071, 267, 543, 519, 5939, 814, 1831, 32375, 771, 523, 325, 13361, 2213, 676, 812, 18478, 29625, 563, 298, 629, 4472, 1695, 10752, 910, 1018, 568, 737, 629, 4472, 1695, 888, 23744, 6340, 267, 28763, 4472, 1695, 568, 5258, 883, 1614, 6688, 281, 519, 7811, 267, 799, 4145, 3294, 5097, 609, 519, 6418, 7516, 540, 4641, 282, 519, 5289, 10600, 267, 20339, 267, 23109, 267, 543, 519, 899, 267, 543, 519, 1199, 5511, 267, 1141, 519, 3804, 568, 547, 5721, 519, 1268, 945, 568, 4974, 547, 3914, 2362, 11506, 1199, 5511, 2829, 540, 9637, 543, 267, 5310, 267, 1256, 513, 1533, 540, 28897, 998, 14139, 519, 23942, 4408, 267, 4484, 32545, 267, 543, 865, 8521, 563, 15368, 923, 538, 737, 629, 4472, 1695, 281, 1018, 568, 737, 629, 4472, 1695, 888, 15368, 923, 538, 28763, 4472, 1695, 281, 1548, 568, 28763, 4472, 1695, 286, 3487, 476, 272, 28763, 4472, 1695, 568, 519, 25386, 2245, 540, 519, 6014, 1004, 269, 898, 7389, 607, 2484, 1394, 607, 14062, 630, 531, 2865, 2185, 8536, 1296, 1070, 4352, 621, 814, 8854, 998, 1082, 5933, 540, 13414, 2094, 602, 942, 563, 7336, 1622, 1018, 737, 629, 4472, 1695, 910, 1018, 568, 737, 629, 4472, 1695, 888, 30161, 1622, 1018, 737, 629, 4472, 1695, 910, 1018, 568, 737, 629, 4472, 1695, 782, 827, 286, 910, 737, 629, 4472, 1695, 6045, 3274, 3052, 559, 695, 597, 6941, 5722, 2596, 3741, 540, 737, 629, 4472, 1695, 538, 513, 1007, 8400, 540, 25697, 2483, 3674, 737, 629, 4472, 1695, 543, 910, 1018, 568, 737, 629, 4472, 1695, 888, 298, 629, 4472, 1695, 630, 10193, 25250, 28763, 531, 1695, 267, 16410, 8403, 267, 1627, 629, 8403, 28931, 27271, 12261, 607, 968, 3240, 560, 6291, 892, 610, 968, 11484, 738, 1702, 28934, 513, 851, 540, 6014, 2245, 602, 9388, 609, 519, 9759, 540, 2696, 269, 6787, 621, 14122, 513, 10723, 1257, 267, 606, 1995, 267, 610, 519, 1259, 1919, 960, 267, 28763, 4472, 1235, 3494, 602, 2696, 7575, 538, 12357, 2081, 563, 298, 629, 4472, 1695, 9623, 910, 1018, 568, 8076, 737, 629, 4472, 1695, 888, 1103, 824, 1913, 267, 28763, 4472, 1695, 568, 513, 7326, 540, 875, 547, 4309, 12257, 538, 922, 6099, 1106, 269, 634, 1259, 649, 4309, 12257, 5688, 958, 568, 676, 4946, 519, 9837, 547, 1655, 578, 1657, 938, 21200, 540, 12257, 267, 799, 2636, 585, 519, 6024, 32351, 540, 12257, 269, 634, 1505, 540, 28763, 4472, 1695, 568, 538, 875, 547, 1020, 602, 9837, 547, 1655, 578, 1657, 519, 786, 547, 4309, 563, 298, 629, 4472, 1695, 568, 543, 910, 1018, 568, 737, 629, 4472, 1695, 888, 15862, 269, 28763, 4472, 1695, 630, 10193, 25250, 28763, 531, 1695, 267, 16410, 8403, 267, 1627, 629, 8403, 28931, 27271, 12261, 607, 968, 3240, 560, 6291, 892, 610, 968, 11484, 738, 1702, 28934, 513, 851, 540, 6014, 2245, 602, 9388, 609, 519, 9759, 540, 2696, 269, 6787, 621, 14122, 513, 10723, 1257, 267, 606, 1995, 267, 610, 519, 1259, 1919, 960, 267, 28763, 4472, 1235, 3494, 602, 2696, 7575, 538, 12357, 2081, 563, 21581, 2626, 281, 4208, 666, 1405, 596, 1294, 6801, 689, 519, 7599, 454, 763, 737, 629, 4472, 1695, 16455, 281, 1018, 568, 737, 629, 4472, 1695, 888, 298, 629, 4472, 1695, 568, 513, 31497, 16369, 585, 519, 9997, 269, 3776, 3483, 568, 547, 9156, 519, 3666, 543, 12972, 649, 2899, 1185, 267, 1256, 952, 1152, 585, 513, 1906, 5618, 3108, 269, 769, 865, 3257, 649, 1810, 1406, 1152, 1265, 938, 1259, 909, 519, 5757, 547, 519, 12567, 267, 649, 5352, 1945, 32753, 1007, 563, 1432, 568, 737, 629, 4472, 1695, 1862, 543, 737, 629, 4472, 1695, 14446, 888, 298, 629, 4472, 1695, 14446, 1107, 585, 1434, 9939, 267, 1072, 543, 1967, 28763, 4472, 1695, 538, 12355, 1797, 968, 516, 576, 633, 892, 543, 4016, 547, 519, 8391, 540, 5711, 10752, 602, 941, 6508, 689, 9925, 880, 5289, 1143, 543, 7793, 6291, 269, 634, 28763, 4472, 1695, 4035, 601, 787, 20206, 12885, 891, 10752, 543, 14014, 689, 519, 32716, 540, 519, 9409, 3750, 563, 1432, 568, 737, 629, 4472, 1695, 910, 1018, 568, 737, 629, 4472, 1695, 888, 1432, 1772, 28763, 4472, 1695, 286, 28763, 4472, 1695, 568, 606, 3504, 5289, 7326, 602, 16877, 721, 547, 2087, 938, 2729, 267, 3605, 938, 3483, 267, 543, 3035, 519, 9434 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2634, 630, 1335, 16964, 20723, 8482, 1040, 769, 4334, 267, 17465, 6565, 689, 8966, 5122, 2534, 538, 519, 2634, 563, 1805, 6593, 2589, 538, 5243, 4096, 593, 799, 3148, 540, 519, 2634, 568, 4299, 269, 1452, 2589, 666, 581, 7543, 547, 2995, 6306, 689, 513, 23069, 1175, 676, 3168, 269, 11910, 938, 2199, 18915, 5604, 5612, 952, 596, 2811, 14126, 707, 2915, 568, 2348, 513, 8482, 563, 4692, 2423, 32035, 20531, 1530, 714, 999, 538, 17268, 888, 5353, 3164, 1274, 5563, 538, 5243, 666, 2014, 14715, 2042, 269, 1717, 267, 1274, 5563, 616, 711, 513, 2101, 2014, 540, 17465, 538, 5243, 269, 4107, 2915, 1274, 5563, 4125, 519, 7298, 856, 25958, 2127, 540, 519, 1274, 630, 582, 4345, 608, 1181, 320, 1040, 634, 4397, 2589, 616, 31153, 267, 2212, 24373, 267, 543, 4158, 11166, 630, 1240, 1040, 1717, 267, 11719, 545, 4191, 666, 1020, 950, 519, 3968, 19082, 547, 4514, 1274, 3889, 630, 582, 4345, 2923, 543, 2028, 320, 1916, 10468, 9951, 545, 2589, 540, 4049, 1274, 5563, 949, 1331, 912, 268, 966, 652, 24212, 4191, 630, 11825, 11962, 2212, 28550, 267, 7411, 6972, 267, 7432, 538, 10580, 994, 268, 21826, 3750, 5322, 1247, 25805, 630, 5500, 560, 698, 16443, 994, 268, 9710, 1676, 781, 6794, 630, 323, 549, 14563, 270, 1706, 4519, 593, 835, 2427, 540, 519, 3068, 994, 10000, 547, 476, 736, 260, 540, 5243, 723, 5571, 1274, 2152, 267, 865, 5077, 707, 17022, 952, 596, 2811, 7255, 269, 2423, 5563, 616, 811, 1455, 538, 1166, 641, 6853, 3887, 1563, 14981, 899, 595, 29420, 1975, 534, 1408, 338, 543, 30464, 564, 670, 2432, 563, 4692, 5253, 20531, 1530, 714, 999, 538, 17268, 454, 23744, 267, 1426, 3294, 1281, 711, 2014, 17465, 538, 5243, 269, 1717, 267, 5243, 609, 20560, 949, 581, 811, 2693, 547, 723, 606, 4323, 1472, 803, 5306, 1307, 269, 1809, 1946, 888, 28848, 568, 513, 5458, 2707, 540, 7772, 543, 10761, 585, 5243, 269, 5381, 547, 9991, 18069, 267, 3929, 10761, 3123, 2242, 538, 2634, 2534, 3270, 269, 15394, 267, 891, 2242, 616, 3339, 543, 1810, 1405, 2014, 2042, 269, 1809, 538, 3134, 850, 10364, 5243, 267, 10761, 827, 1426, 666, 581, 2614, 547, 9594, 513, 23069, 563, 2419, 3183, 610, 4189, 1426, 13572, 609, 513, 25560, 1223, 849, 2014, 2589, 23401, 513, 23069, 269, 13185, 547, 707, 16943, 610, 1289, 519, 8891, 7313, 2581, 4477, 680, 710, 952, 596, 2811, 14126, 827, 1945, 707, 2915, 17696, 563, 4692, 18307, 553, 20531, 17268, 547, 5620, 1530, 714, 999, 888, 13436, 547, 1426, 267, 7904, 553, 616, 711, 513, 2014, 540, 2915, 17465, 269, 1809, 538, 3069, 267, 3665, 621, 577, 1465, 1223, 5732, 1413, 899, 513, 23069, 269, 634, 2564, 2165, 585, 2960, 621, 577, 1465, 568, 929, 584, 7978, 563, 12179, 821, 945, 781, 16618, 519, 17079, 10936, 593, 513, 30382, 6487, 875, 544, 5417, 2287, 519, 621, 577, 666, 581, 269, 589, 4049, 2013, 540, 7904, 553, 666, 581, 865, 30898, 792, 762, 602, 10130, 786, 9772, 8966, 5615, 538, 3406, 540, 8323, 269, 2290, 16943, 538, 16855, 5701, 513, 7904, 320, 19229, 1084, 3032, 9117, 865, 9490, 569, 602, 1352, 2219, 621, 1522, 723, 29811, 2336, 8794, 7904, 320, 267, 8743, 267, 543, 2295, 11988, 2061, 2510, 568, 835, 540, 519, 15864, 2081, 547, 2149, 707, 4620, 781, 1072, 269, 769, 1840, 547, 1373, 1928, 2685, 28349, 267, 891, 12961, 4163, 3676, 602, 1223, 1118, 707, 2915, 5393, 2192, 563, 4692, 17268, 5192, 1530, 714, 999, 689, 1546, 5139, 1674, 888, 12024, 3425, 543, 824, 2831, 267, 5243, 723, 513, 5934, 3232, 1216, 10421, 269, 1546, 5139, 1674, 4386, 950, 707, 2915, 781, 1216, 6981, 568, 1932, 1970, 267, 610, 789, 6336, 811, 1216, 982, 789, 8532, 269, 20050, 540, 18024, 538, 5243, 666, 1331, 7050, 533, 13589, 267, 5569, 344, 5323, 565, 267, 29723, 1173, 344, 267, 543, 3819, 610, 20202, 14779, 563, 5353, 3164, 18024, 1223, 5732, 9594, 513, 23069, 269, 1717, 267, 18024, 568, 711, 513, 1455, 2014, 540, 2915, 17465, 269, 15901, 730, 610, 12675, 17465, 666, 2014, 18024, 1813, 547, 2799, 1560, 2837, 269, 1403, 707, 2915, 2982, 4191, 540, 18024, 267, 2833, 2789, 17465, 538, 476, 2190, 3108, 267, 610, 814, 835, 23069, 9434, 811, 982, 2947, 3764, 267, 5612, 1491, 873, 547, 606, 6595, 16943, 563, 29490, 2285, 707, 2915, 3586, 267, 19957, 1569, 547, 2973, 6704, 1216, 269, 3629, 811, 1216, 982, 596, 1589, 789, 3513, 991, 267, 543, 3142, 3063, 1216, 593, 856, 902, 269, 3680, 936, 7721, 2075, 2358, 707, 2915, 538, 3905, 4365, 267, 543, 1491, 6266, 540, 1216, 9397, 547, 2061, 3002, 560, 6593, 563, 12234, 267, 2760, 3625, 707, 2915, 781, 1569, 547, 6704, 1216, 269, 17268, 609, 8459, 2068, 267, 595, 5241, 781, 2068, 267, 543, 824, 2175, 949, 4235, 606, 2179, 540, 1216, 602, 4667, 7050, 269, 1717, 267, 741, 1560, 781, 2702, 547, 11677, 7509, 568, 19847, 269, 1358, 3513, 4235, 811, 547, 22771, 543, 2611, 18113, 19872, 563, 1432, 1677, 343, 1231, 20531, 13928, 1530, 714, 999, 888, 2026, 513, 4620, 8227, 267, 621, 781, 2629, 547, 917, 519, 1093, 11143, 602, 666, 2014, 2915, 17465, 269, 4197, 799, 6878, 666, 5732, 2014, 17465, 568, 851, 540, 7863, 707, 7782, 781, 3106, 563, 291, 9233, 616, 6923, 8049, 543, 2648, 547, 2263, 269, 10251, 267, 891, 17681, 7592, 666, 3006, 1267, 538, 5243, 4189, 610, 15700, 1919, 602, 786, 2800, 873, 269, 5274, 6527, 616, 513, 1455, 2707, 540, 6757, 15464, 538, 5243, 563, 8469, 10716, 602, 666, 581, 6757, 547, 5243, 1331, 912, 268, 6348, 3122, 18042, 4550, 13611, 5061, 630, 301, 6347, 31312, 2187, 268, 5917, 559, 630, 756, 1575, 19745, 523, 994, 268, 22176, 557, 630, 333, 777, 6918, 523, 994, 268, 570, 2643, 523, 565, 630, 659, 564, 3133, 641, 1156, 994, 268, 12619, 6527, 454, 268, 10552, 2604, 6527, 454, 268, 3465, 5524, 8102, 1218, 454, 268, 3465, 5524, 1928, 26973, 619, 454, 8448, 6757, 10898, 585, 5243, 538, 519, 1753, 1331, 912, 268, 27686, 2472, 912, 268, 1772, 641, 1886, 2643, 4568, 454, 268, 15742, 3536, 912, 268, 17491, 6954, 2472, 5627, 1535, 2643, 20738, 630, 326, 636, 267, 17711, 994, 268, 717, 1905, 525, 1299, 986, 529, 1231, 454, 268, 1234, 920, 1049, 5061, 912, 268, 4400, 6874, 18449, 17089, 11305, 27767, 529, 454, 268, 24768, 2371, 912, 268, 590, 6210, 13869, 454, 268, 4201, 4379, 18415, 639, 454, 268, 24768, 17228, 454, 268, 28814, 1852, 2472, 912, 2252, 596, 14353, 707, 2915, 814, 1044, 6534, 547, 513, 25560, 267, 3343, 18915, 3007, 5612, 269, 769, 1082, 2665, 267, 513, 4028, 3210, 666, 3648, 6175, 519, 4960, 540, 9434, 610, 1272, 18446, 2360, 563, 19675, 594, 10925, 3733, 13928, 13560, 952, 1261, 13201, 1530, 714, 999, 888, 5353, 714, 675, 14501, 666, 581, 1253, 7675, 543, 31029, 547, 7198, 269, 10866, 540, 1272, 543, 4227, 7092, 616, 1898, 9270, 585, 4299, 5243, 563, 306, 5844, 17465, 538, 7820, 5243, 1419, 6565, 689, 606, 15110, 2783, 899, 20560, 269, 769, 891, 2665, 267, 972, 616, 726, 550, 3814, 2126, 3681, 547, 2119, 1354, 8380, 519, 2915, 1524, 630, 324, 30984, 1040, 14640, 5498, 714, 675, 6646, 543, 824, 5574, 666, 20427, 2569, 17465, 543, 948, 707, 2915, 2661, 513, 1279, 267, 6126, 1272, 563, 26170, 267, 930, 3134, 850, 10364, 5243, 798, 711, 4431, 547, 4550, 5498, 714, 675, 6527, 610, 824, 7459, 269, 24771, 5243, 602, 10393, 1020, 17465, 666, 849, 581, 4101, 547, 948, 269, 21480, 513, 2298, 6361, 3734, 6643, 609, 707, 16943, 952, 596, 1745, 707, 2915, 3884, 1405, 5355, 269, 2659, 17022, 781, 5604, 1058, 581, 513, 2922, 2230, 547, 2307, 2055, 543, 6318, 4145, 1510, 10385, 563, 290, 9720, 543, 1530, 714, 999, 538, 17268, 454, 290, 27767, 573, 2723, 630, 290, 9720, 264, 568, 606, 4277, 1007, 1587, 609, 1761, 10083, 585, 18915, 4915, 269, 14055, 12851, 547, 513, 1362, 540, 2067, 7135, 1572, 12800, 27546, 269, 9521, 519, 824, 2101, 12800, 32009, 29437, 267, 14055, 1281, 711, 2014, 513, 834, 14683, 4799, 1103, 3425, 267, 14055, 568, 9516, 676, 519, 772, 2529, 269, 5253, 543, 10684, 10029, 630, 293, 6395, 264, 547, 948, 1521, 4686, 3029, 540, 6689, 20560, 630, 866, 1040, 901, 1587, 568, 1031, 607, 606, 1039, 6823, 2126, 7258, 2757, 4550, 5498, 714, 675, 6527, 269, 12830, 569, 267, 14055, 814, 711, 1044, 9516, 547, 1521, 1022, 2068, 538, 2831, 563, 10932, 593, 14055, 538, 5243, 568, 5571, 269, 1924, 2484, 267, 835, 6417, 1353, 538, 5243, 1336, 602, 14055, 949, 2569, 23069, 4908, 950, 2016, 7258, 2757, 1884, 773, 335, 850, 10364, 5061, 630, 736, 1040, 634, 1198, 729, 11029, 267, 543, 811, 2090, 786, 581, 2877, 547, 1294, 952, 513, 2362, 9570, 540, 14055, 949, 581, 811, 5363, 563, 14454, 267, 621, 786, 1491, 942, 585, 519, 2257, 547, 6952, 909, 593, 4620, 14055, 269, 1284, 991, 811, 1344, 827, 922, 1279, 3856, 3106, 543, 7145, 538, 10130, 269, 13185, 547, 707, 16943, 952, 596, 1616, 547, 2119, 14055, 585, 707, 2915, 269, 1684, 711, 946, 14055, 547, 5372, 707, 2915, 781, 6527, 282, 1246, 519, 10672, 781, 5528, 5402, 563, 5353, 714, 999, 538, 5243, 666, 581, 18447, 585, 4620, 5411, 547, 7198, 269, 1717, 267, 1620, 1018, 547, 2503, 1282, 606, 12558, 543, 1018, 547, 798, 538, 606, 6595, 666, 948, 596, 2611, 9350, 563, 7312, 2915, 666, 2661, 513, 6126, 267, 16180, 1272, 609, 3617, 23069, 2359, 269, 32653, 5868, 543, 6297, 6646, 2359, 609, 707, 16943, 616, 2629, 547, 1967, 563, 268, 4793, 1562, 517, 267, 11977, 661, 269, 834, 4692, 710, 20560, 281, 606, 896, 583, 28895, 2203, 1701, 14889, 2752, 4760, 476, 4649, 269, 272, 630, 1001, 275, 2567, 476, 9264, 268, 5908, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 11820, 274, 270, 1791, 270, 559, 340, 28512, 454, 268, 645, 699, 526, 339, 267, 631, 1421, 10787, 638, 9618, 267, 681, 14371, 1421, 13495, 22061, 267, 623, 12282, 12282, 269, 1696, 620, 269, 4139, 18915, 20560, 4305, 3196, 13618, 1867, 593, 20560, 4214, 267, 8760, 543, 16166, 538, 13959, 2831, 269, 645, 10157, 966, 564, 1763, 1556, 267, 476, 9264, 630, 1001, 276, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 14093, 277, 4882, 15782, 1704, 268, 27888, 268, 271, 5379, 272, 268, 273, 454, 268, 918, 8986, 2917, 13001, 293, 548, 564, 267, 700, 1421, 1696, 620, 269, 834, 7093, 28700, 543, 1981, 2188, 585, 22578, 20560, 540, 7164, 5169, 538, 519, 5177, 1701, 27259, 16680, 476, 15094, 269, 1724, 630, 1001, 274, 2567, 476, 24783, 268, 24783, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 13647, 277, 23218, 337, 269, 6200, 15836, 454, 268, 13268, 518, 267, 18007, 6511, 10790, 267, 1696, 620, 269, 834, 32747, 1981, 2188, 2404, 609, 1884, 773, 335, 850, 10364, 3075, 30506, 538, 22578, 20560, 1701, 12813, 24382, 2290, 476, 280, 269, 279, 630, 1001, 275, 2567, 552, 11793, 271, 2918, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 15389, 272, 10768, 16067, 4877, 821, 269, 18089, 2568, 273, 277, 454, 268, 1546, 20322, 1470, 267, 30511, 320, 267, 1696, 620, 269, 834, 17220, 18915, 20560, 4305, 3196, 13618, 11556, 281, 10368, 1935, 547, 20560, 538, 5243, 1701, 645, 10157, 18915, 1382, 476, 1556, 269, 272, 630, 1001, 276, 2567, 476, 272, 268, 1556, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 14093, 277, 4882, 15782, 1704, 268, 27888, 268, 271, 5379, 273, 268, 272, 454, 268, 4793, 1562, 517, 267, 11977, 715, 539, 661, 269, 834, 1805, 9850, 3134, 850, 10364, 639, 543, 12440, 17465, 1701, 27259, 7885, 923, 281, 9540, 10960, 6657, 476, 4510, 269, 277, 630, 1001, 275, 2567, 476, 8099, 274, 268, 9340, 273, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 6983, 341, 8243, 269, 1001, 275, 269, 5881, 269, 23669, 454, 268, 4077, 531, 3711, 748, 267, 631, 1421, 1744, 643, 777, 712, 267, 590, 14389, 1421, 7935, 27219, 3881, 267, 667, 5861, 269, 1696, 620, 269, 4165, 773, 335, 850, 10364, 5061, 262, 7109, 1464, 543, 3106, 1107, 513, 9836, 2689, 543, 13849, 20400, 540, 8801, 2360, 538, 5243, 269, 645, 10157, 966, 564, 1763, 1321, 267, 476, 8064, 630, 1001, 277, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 14093, 277, 4882, 15782, 1704, 268, 28318, 268, 271, 3583, 274, 3917, 454, 268, 918, 8986, 2917, 13001, 293 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10318, 1456, 15376, 538, 513, 1592, 454, 258, 568, 8548, 601, 9109, 815, 834, 27839, 9109, 257, 538, 585, 3944, 272, 454, 258, 1820, 263, 529, 8548, 601, 9109, 2020, 258, 7084, 692, 0, 12163, 3663, 334, 7817, 267, 6165, 1384, 9226, 16079, 318, 743, 1304, 18258, 2999, 10676, 285, 2999, 1636, 285, 692, 13828, 3984, 543, 2823, 616, 18593, 267, 9949, 338, 281, 2199, 10676, 476, 4335, 4905, 454, 10676, 1590, 581, 1459, 952, 596, 1616, 547, 1683, 2823, 454, 20701, 5814, 23094, 3097, 5814, 19523, 692, 10676, 815, 1412, 29985, 10676, 262, 3097, 1636, 815, 476, 4335, 4905, 454, 21653, 815, 476, 9083, 275, 8528, 333, 16911, 815, 7003, 4433, 903, 27769, 341, 994, 604, 562, 16911, 3436, 476, 272, 912, 825, 3984, 815, 19523, 27769, 341, 314, 272, 2639, 604, 562, 16911, 3436, 476, 273, 912, 825, 2823, 815, 703, 4433, 903, 27769, 341, 314, 273, 20285, 258, 338, 815, 23094, 4732, 12714, 4433, 12714, 6993, 293, 318, 2562, 4953, 267, 3097, 258, 4449, 23094, 2529, 8016, 298, 318, 4306, 3918, 4456, 264, 3097, 258, 338, 269, 6618, 9230, 10676, 267, 1636, 11723, 258, 1607, 568, 1141, 596, 3323, 535, 31902, 609, 695, 527, 692, 14725, 318, 13765, 815, 6936, 692, 6112, 2196, 318, 13765, 912, 825, 16079, 815, 6151, 17750, 9497, 1432, 1131, 596, 899, 547, 16079, 286, 5602, 825, 521, 815, 23094, 4732, 12714, 4433, 12714, 6993, 293, 318, 2562, 4953, 267, 3097, 4449, 476, 23094, 2529, 8016, 298, 318, 4306, 3918, 4456, 264, 3097, 825, 521, 269, 6618, 9230, 10676, 267, 1636, 4917, 825, 952, 16079, 2652, 1412, 12466, 1038, 2196, 318, 13765, 815, 8771, 454, 825, 3116, 912, 1038, 521, 4732, 754, 263, 3663, 334, 994, 1038, 1239, 815, 521, 269, 13440, 341, 4433, 1125, 994, 1038, 1820, 1239, 454, 258, 338, 4732, 754, 3488, 15916, 267, 1158, 10807, 3097, 1012, 11907, 815, 521, 269, 13440, 341, 4433, 1125, 2020, 258, 663, 1934, 454, 1012, 2745, 1239, 454, 258, 754, 19474, 692, 338, 25379, 3890, 3097, 28744, 1412, 5228, 630, 260, 338, 267, 260, 338, 264, 4939, 338, 262, 4939, 630, 10676, 267, 2823, 267, 1239, 2020 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 676, 519, 5821, 540, 11983, 11409, 547, 16956, 4733, 6923, 1310, 5945, 269, 1717, 267, 538, 513, 1353, 13629, 5181, 476, 736, 628, 538, 519, 1930, 1569, 4760, 12813, 5308, 10334, 267, 3173, 3366, 676, 3244, 821, 4144, 16902, 990, 28839, 693, 15875, 5441, 5507, 538, 519, 772, 14389, 269, 1397, 602, 12353, 5574, 609, 606, 27981, 2045, 1437, 1807, 666, 5351, 519, 1036, 9512, 540, 10444, 543, 5179, 11409, 538, 519, 11983, 10260, 950, 2016, 547, 8983, 476, 1321, 4374, 1310, 4049, 5945, 563, 19465, 593, 741, 2250, 1967, 267, 3173, 1031, 513, 1507, 11140, 1572, 570, 307, 298, 2641, 547, 19334, 4719, 5752, 602, 28901, 4949, 517, 20344, 538, 11409, 269, 570, 307, 298, 2641, 2242, 519, 27981, 2045, 1533, 540, 6090, 676, 1437, 908, 519, 595, 21990, 9706, 4968, 1920, 540, 1071, 19840, 643, 1807, 5946, 269, 1358, 7318, 570, 307, 298, 2641, 2126, 538, 513, 10856, 2203, 540, 4049, 11983, 10260, 5945, 269, 634, 8983, 5030, 538, 606, 23353, 1604, 602, 5795, 873, 3255, 547, 581, 9308, 3742, 267, 607, 568, 9415, 538, 1480, 2550, 563, 21675, 3459, 476, 1321, 4374, 1310, 4049, 11983, 10260, 5945, 543, 16768, 585, 476, 1015, 4374, 269, 12824, 1336, 1896, 9283, 1310, 570, 307, 298, 2641, 2126, 3379, 609, 1852, 2126, 269, 634, 1034, 18476, 1198, 729, 811, 4949, 517, 17708, 1154, 538, 519, 11983, 10260, 269, 1358, 849, 1336, 602, 1427, 3555, 540, 5179, 4949, 976, 1657, 519, 1448, 540, 5945, 10300, 1540, 267, 543, 602, 10444, 4949, 517, 2208, 2799, 269, 1452, 2242, 941, 2693, 1813, 547, 519, 4767, 2333, 538, 5444, 4082, 1644, 547, 20344, 269, 634, 1985, 1900, 786, 581, 547, 3986, 891, 2360, 1256, 811, 543, 547, 9594, 519, 1036, 10273, 908, 4949, 976, 547, 556, 6618, 547, 519, 1964, 540, 519, 8401, 1062, 865, 602, 2831, 666, 22919, 741, 2702, 547, 1847, 609, 8897, 563, 13126, 281, 3367, 9509, 9137, 0, 2252, 596, 2461, 1934, 267, 596, 4076, 4862, 827, 11670, 269, 898, 3091, 1044, 835, 540, 519, 7887, 7928, 3377, 24657, 936, 519, 2063, 1032, 610, 865, 1107, 1317, 513, 1205, 3638, 2656, 10325, 267, 519, 1439, 540, 8804, 267, 519, 4332, 540, 2731, 3486, 9304, 267, 607, 519, 1439, 540, 519, 1158, 267, 610, 607, 513, 2029, 799, 814, 4824, 519, 1158, 269, 1809, 1018, 779, 11670, 888, 1103, 2656, 267, 596, 666, 2161, 11670, 949, 581, 519, 1101, 15139, 2213, 1062, 540, 6666, 1031, 585, 2228, 16306, 267, 855, 621, 568, 2469, 547, 581, 3730, 547, 2007, 513, 3787, 4514, 563, 2171, 782, 917, 267, 3622, 267, 4010, 1018, 2048, 332, 2292, 685, 568, 543, 1018, 621, 568, 1031, 609, 2543, 547, 269, 634, 1034, 1271, 3390, 540, 799, 14754, 538, 6666, 946, 1354, 11670, 12211, 547, 621, 9363, 3844, 2213, 543, 7307, 676, 1259, 540, 513, 2582, 1870, 1107, 519, 3844, 2213, 12948, 1062, 269, 11670, 814, 1044, 11827, 538, 476, 1220, 279, 270, 1220, 280, 676, 606, 12357, 17082, 945, 4422, 676, 519, 15554, 7716, 2048, 25823, 25493, 26981, 600, 9369, 685, 547, 1711, 15139, 5314, 547, 2724, 827, 513, 5001, 4336, 269, 634, 2856, 568, 602, 519, 9304, 666, 581, 21775, 1472, 3486, 3515, 609, 1100, 7411, 610, 3028, 12375, 267, 519, 11974, 543, 1256, 21356, 786, 581, 21248, 2066, 519, 3003, 4541, 630, 2864, 982, 3274, 593, 519, 3366, 7970, 540, 4357, 3906, 610, 6608, 1070, 543, 2724, 1131, 616, 811, 11180, 543, 1312, 8449, 3015, 547, 782, 610, 1022, 563, 9617, 875, 1705, 11670, 1376, 888, 763, 1523, 540, 11670, 267, 7132, 15170, 3622, 267, 1185, 1044, 3323, 538, 476, 1220, 280, 676, 3274, 9045, 25493, 267, 606, 12357, 11001, 269, 634, 2601, 3297, 621, 568, 8798, 729, 547, 8207, 519, 3390, 540, 678, 12728, 15100, 684, 542, 538, 519, 946, 540, 6666, 799, 16941, 2390, 8492, 543, 5904, 267, 606, 3390, 602, 1082, 2780, 1062, 3744, 14201, 1406, 6126, 609, 269, 19793, 1324, 15139, 5314, 3091, 1044, 13986, 1317, 519, 3735, 476, 3445, 338, 609, 1100, 1967, 267, 865, 950, 9045, 25493, 3370, 513, 1957, 1369, 476, 1220, 279, 3246, 513, 16185, 267, 621, 1185, 1044, 11566, 569, 1500, 10950, 269, 4653, 267, 11670, 814, 1831, 513, 5432, 9304, 3823, 4950, 3755, 543, 814, 2016, 4473, 547, 5215, 540, 2048, 5306, 23915, 685, 630, 12061, 5174, 527, 8314, 19116, 1916, 1692, 568, 9090, 11670, 1500, 888, 30531, 8314, 568, 2944, 676, 1259, 540, 513, 1184, 1572, 5599, 269, 3807, 899, 1957, 2724, 568, 1500, 998, 8228, 267, 538, 1840, 547, 4154, 568, 13939, 689, 519, 2666, 267, 11670, 568, 3964, 676, 2048, 332, 1456, 9957, 14086, 3322, 21338, 540, 1950, 2979, 2042, 3823, 7161, 1210, 5904, 7132, 4946, 873, 547, 513, 1857, 24432, 269, 1879, 602, 3459, 267, 513, 3551, 19766, 7473, 2207, 630, 3697, 602, 693, 1753, 2780, 264, 729, 782, 835, 1185, 513, 991, 547, 9553, 267, 2705, 267, 519, 2179, 540, 2042, 814, 2799, 15186, 543, 2221, 596, 786, 2154, 7463, 8800, 267, 1519, 1283, 2298, 29093, 14409, 8605, 630, 25897, 5825, 1070, 547, 4894, 11670, 563, 1692, 1685, 594, 1902, 888, 22873, 6053, 267, 596, 723, 547, 1930, 606, 2272, 609, 513, 2062, 343, 9467, 3760, 538, 1840, 547, 1711, 513, 23129, 282, 606, 1367, 666, 1265, 930, 1806, 676, 10478, 23968, 5622, 543, 24440, 585, 2048, 30531, 8314, 9467, 3760, 685, 1107, 789, 1419, 723, 4408, 3823, 2048, 8314, 8730, 610, 2048, 21466, 9957, 2991, 11836, 835, 540, 891, 5867, 267, 596, 979, 998, 519, 7221, 267, 543, 538, 602, 2013, 4945, 593, 21888, 547, 2824, 707, 5551, 4914, 19728, 269, 1703, 616, 513, 2603, 540, 10832, 538, 1169, 3760, 799, 616, 3833, 1271, 267, 543, 596, 1058, 1118, 2386, 547, 7747, 782, 540, 873, 1354, 10115, 563, 300, 699, 569, 4444, 543, 2226, 454, 4407, 5599, 568, 519, 2386, 560, 543, 267, 538, 513, 1259, 267, 14724, 3070, 547, 2744, 11670, 267, 972, 568, 6157, 606, 7050, 2179, 540, 554, 755, 548, 3769, 267, 543, 519, 1942, 540, 3167, 1379, 543, 2027, 2213, 5904, 2337, 621, 581, 538, 17739, 1043, 547, 1034, 1004, 269, 1677, 27464, 2312, 540, 782, 713, 267, 1118, 621, 2653, 585, 3054, 267, 2047, 10372, 519, 2698, 2179, 596, 991, 689, 707, 4871, 543, 4945, 593, 968, 321, 8500, 8730, 1287, 6001, 8384, 610, 952, 596, 13258, 4679, 1759, 593, 519, 1871, 1689, 269, 901, 568, 3957, 27300, 543, 3217, 1747, 593, 1082, 15377, 5867, 593, 519, 2344, 267, 609, 519, 2702, 547, 4123, 1063, 1082, 1114, 535, 9332, 19728, 630, 4785, 291, 267, 589, 11070, 267, 717, 21990, 267, 3092, 264, 543, 1114, 21888, 4154, 11113, 630, 30531, 8314, 267, 21578, 267, 700, 924, 8314, 267, 3092, 1916, 2252, 596, 616, 5432, 609, 13632, 267, 513, 9758, 267, 610, 5983, 343, 9388, 267, 596, 1287, 786, 1174, 21888, 2389, 15665, 3362, 269, 1411, 666, 1265, 11670, 2156, 24329, 1616, 552, 1606, 3469, 9467, 267, 674, 311, 26774, 6990, 269, 635, 267, 543, 1082, 811, 596, 666, 4584, 689, 269, 1772, 972, 6142, 585, 21888, 1683, 596, 609, 11670, 1922, 9332, 610, 535, 9332, 5174, 527, 8314, 2724, 8424, 267, 1383, 645, 12839, 268, 4785, 291, 1797, 9467, 9779, 23915, 585, 772, 269, 590, 1775, 12010, 271, 269, 667, 3326, 1513, 269, 5901, 707, 4064, 593, 519, 6718, 3902, 2242, 547, 1265, 519, 1655, 6292, 2687, 547, 1942, 2242, 282, 519, 7270, 1683, 3902, 10838, 824, 10832, 547, 1683, 596, 609, 1697, 9467, 10372, 563, 30531, 8314, 607, 717, 1161, 596, 454, 2467, 616, 849, 14540, 1711, 547, 948, 596, 547, 4444, 8843, 3330, 3549, 602, 1902, 538, 11670, 1107, 891, 4213, 798, 519, 17657, 538, 1840, 547, 8521, 9467, 267, 543, 596, 1175, 6718, 873, 267, 7132, 24098, 707, 3923, 3562, 18881, 2640, 269, 1452, 4213, 1175, 7535, 3059, 7482, 689, 1114, 18318, 543, 1902, 609, 519, 1268, 563, 3963, 1058, 596, 6108, 2724, 593, 11670, 888, 5804, 713, 2376, 596, 666, 1294, 267, 9140, 11670, 7569, 799, 596, 723, 1082, 6296, 1702, 540, 519, 9304, 267, 607, 6045, 1657, 269, 1306, 609, 782, 7221, 267, 621, 3322, 1981, 256, 634, 2243, 540, 2436, 610, 711, 547, 1902, 5673, 4625, 593, 519, 3328, 1268, 269, 2201, 519, 824, 1688, 267, 952, 594, 941, 547, 1683, 5796, 267, 1284, 1131, 18973, 538, 3870, 540, 9140, 11670, 609, 12406, 602, 267, 11670, 8952, 3395, 1107, 4352, 972, 814, 1044, 835, 1713, 2333, 543, 11861, 942, 1974, 267, 621, 568, 3810, 2693, 602, 26429, 11750, 782, 1927, 786, 3136, 538, 1931, 547, 2333, 538, 1871, 1657, 519, 1985, 513, 8717, 269, 11670, 1223, 581, 519, 4102, 267, 543, 1034, 1134, 8153, 267, 540, 782, 1699, 19116, 267, 543, 865, 568, 513, 1434, 1747, 547, 1376, 267, 538, 1840, 547, 519, 32343, 13708, 1076, 267, 4867, 269, 4014, 20437, 585, 513, 1247, 267, 594, 14353, 596, 786, 3605, 602, 11670, 9467, 568, 1256, 811, 19311, 982, 1034, 824, 26136, 0, 291, 1047, 1162, 616, 2356, 8507, 689, 29296, 6211, 15817, 610, 8325, 2242, 538, 3448, 5666, 540, 1114, 3334, 540, 6675, 269, 1656, 1034, 8097, 6602, 568, 5059, 593, 519, 5449, 563, 288, 7838, 25605, 568, 2565, 538, 1591, 15285, 267, 543, 849, 4249, 513, 4105, 1909, 538, 10510, 12136, 543, 1646, 269, 12815, 8097, 2090, 723, 3254, 602, 519, 6046, 589, 7838, 25605, 568, 2404, 609, 4057, 2860, 2126, 267, 1247, 267, 589, 7838, 25605, 538, 32594, 1281, 711, 2141, 16578, 519, 5250, 540, 2860, 267, 799, 666, 5815, 602, 824, 982, 2489, 32635, 3252, 267, 589, 7838, 25605, 849, 4249, 606, 7164, 543, 1271, 1909, 269, 3776, 8097, 3523, 1807, 20568, 1627, 21628, 779, 2319, 538, 6129, 962, 520, 1606, 523, 781, 2160, 1336, 513, 1713, 2333, 540, 589, 7838, 25605, 538, 6089, 2860, 6797, 2281, 267, 543, 589, 7838, 25605, 568, 4646, 676, 5872, 609, 1776, 3940, 681, 23259, 298, 1950, 609, 16606, 3815, 1599, 267, 1437, 908, 519, 31253, 290, 3260, 518, 267, 543, 1287, 1852, 513, 3126, 540, 2242, 1644, 547, 3940, 4082, 538, 6089, 2860, 269, 1656, 875, 568, 713, 1950, 4646, 267, 1018, 779, 519, 1614, 8820, 2497, 267, 616, 1898, 547, 2626, 519, 1657, 8097, 9259, 540, 7636, 6127, 563, 291, 2975, 303, 12824, 4020, 324, 519, 8422, 8820, 12856, 540, 519, 9509, 27480, 19871, 3414, 513, 10022, 540, 17449, 21290, 31283, 263, 20124, 676, 22244, 2871, 2129, 14241, 994, 3528, 1210, 7293, 6211, 1797, 971, 2042, 1491, 1296, 547, 581, 2009, 547, 2347, 267, 17449, 9781, 568, 519, 1152, 4244, 538, 1840, 547, 519, 6901, 269, 2871, 2129, 14241, 267, 998, 513, 3126, 540, 7636, 9781, 1797, 267, 9112, 519, 1614, 8820, 2497, 540, 519, 2407, 27480, 3940, 269, 1635, 1797, 540, 16600, 10687, 1584, 532, 2200, 543, 19782, 1190, 1374, 540, 11191, 1184, 267, 646, 6192, 519, 1101, 960, 540, 1079, 5946, 540, 7636, 6284, 1184, 1379, 609, 476, 273, 2890, 572, 6948, 540, 11191, 269, 18926, 2079, 1336, 602, 519, 2009, 12331, 543, 741, 5916, 5872, 4609, 267, 519, 7811, 12605, 540, 11006, 4609, 476, 4037, 260, 723, 1044, 4603, 958, 9672, 547, 581, 8197, 7133, 519, 11006, 540, 1079, 5946, 267, 3976, 3246, 606, 1271, 7811, 4493, 547, 8207, 713, 1950, 7636, 6284, 7271, 269, 3571, 2673, 960, 609, 519, 8097, 4600, 4625, 2626, 18784, 7636, 6127, 540, 8097, 4681, 269, 1280, 519, 5868, 543, 2126, 540, 2068, 267, 713, 960, 2488, 513, 1007, 1382, 2856, 585, 519, 1985, 5108, 540, 4550, 2275, 22083, 3075, 1646, 676, 3246, 513, 1007, 1374, 3077, 269, 7186, 18058, 476, 1001, 277, 630, 10674, 2517, 4178, 8542, 1155, 2593, 14672, 1260, 916, 270, 1001, 277, 270, 8182, 15686, 14672, 1260, 916, 6200, 3199, 270, 21459, 14672, 1260, 916, 6200, 3199, 11258, 1040, 27818, 17806, 270, 17421, 676, 22244, 2871, 2129, 14241, 24724 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 4706, 1034, 1271, 1599, 729, 547, 1683, 513, 1797, 676, 799, 1978, 2035, 610, 2621, 1223, 581, 4547, 883, 6228, 269, 634, 21072, 5156, 602, 952, 1945, 941, 8149, 547, 1603, 621, 1223, 581, 14578, 834, 18478, 547, 4755, 257, 676, 1797, 540, 9059, 269, 630, 1960, 994, 1607, 1523, 568, 711, 607, 9490, 607, 621, 1522, 1101, 2408, 269, 7102, 5856, 6487, 602, 835, 1419, 814, 1100, 2856, 1018, 835, 6499, 547, 2161, 2394, 519, 1439, 540, 519, 1101, 8908, 267, 543, 1169, 28048, 5467, 17358, 519, 834, 332, 20723, 257, 540, 12423, 7164, 10600, 1063, 519, 6227, 540, 513, 1433, 543, 1818, 602, 9059, 4755, 1586, 1142, 942, 519, 1433, 568, 8118, 269, 6424, 781, 4704, 547, 834, 935, 32383, 610, 2621, 257, 4947, 883, 6228, 998, 1603, 568, 513, 1455, 1620, 1851, 5830, 269, 1977, 2278, 5261, 674, 4954, 30742, 7150, 538, 1010, 17587, 15356, 2232, 602, 646, 5206, 834, 1729, 1711, 856, 540, 519, 2326, 540, 519, 1480, 6891, 1945, 799, 1705, 711, 2291, 1354, 257, 630, 272, 1040, 901, 1482, 8404, 814, 1044, 6829, 538, 1114, 1913, 676, 1082, 5830, 936, 519, 5553, 267, 855, 1354, 1022, 540, 873, 1256, 11478, 519, 3504, 21072, 6956, 713, 1523, 1134, 269, 634, 1390, 10516, 540, 774, 1054, 729, 519, 2702, 711, 1152, 547, 2769, 835, 781, 1582, 855, 547, 12777, 581, 2111, 547, 1689, 519, 1158, 998, 519, 1379, 540, 1913, 269, 6969, 602, 1223, 4755, 267, 2705, 267, 1354, 519, 10516, 1223, 581, 2322, 547, 922, 2407, 946, 267, 621, 1185, 547, 581, 6956, 563, 763, 20520, 540, 5675, 454, 4913, 1454, 774, 1054, 1185, 547, 798, 609, 4758, 3425, 741, 1062, 540, 1603, 630, 663, 267, 547, 519, 21072, 267, 1412, 16058, 640, 262, 3160, 539, 1412, 292, 5118, 1014, 30670, 519, 3504, 21072, 1185, 547, 960, 856, 585, 2933, 1018, 713, 10516, 729, 543, 875, 547, 946, 621, 269, 590, 2210, 830, 538, 519, 8545, 851, 540, 519, 20530, 2106, 2880, 11270, 538, 5527, 630, 322, 269, 476, 7785, 271, 910, 524, 269, 476, 25628, 271, 14514, 1070, 789, 3459, 547, 946, 6698, 547, 2099, 2241, 2035, 269, 5527, 6048, 19257, 3554, 700, 747, 1492, 574, 11339, 875, 713, 2038, 7097, 834, 13195, 3908, 547, 519, 5618, 652, 711, 725, 2966, 547, 2697, 513, 1268, 610, 513, 1747, 267, 606, 2680, 610, 513, 15896, 257, 630, 274, 1040, 4107, 2693, 519, 9998, 3483, 1603, 6039, 729, 538, 4123, 267, 547, 6655, 1344, 827, 5370, 267, 5777, 267, 16306, 267, 1063, 835, 1448, 543, 1776, 269, 634, 1101, 4890, 31607, 2963, 540, 12266, 1603, 267, 2705, 267, 2501, 689, 9723, 2125, 538, 519, 1106, 540, 5510, 1359, 700, 1235, 538, 519, 7216, 667, 2106, 2880, 11270, 563, 5719, 987, 729, 711, 519, 1439, 540, 1272, 585, 519, 3504, 21072, 282, 621, 729, 1152, 513, 5912, 689, 835, 1533, 547, 1776, 269, 634, 4666, 5030, 593, 538, 519, 1310, 5158, 543, 16941, 2390, 519, 2713, 547, 3314, 873, 543, 1459, 873, 609, 17008, 540, 1426, 543, 4235, 269, 1323, 5510, 1359, 5903, 729, 606, 11891, 540, 519, 13344, 1813, 547, 513, 1880, 1268, 543, 27485, 593, 519, 3774, 540, 741, 19772, 269, 25126, 945, 1185, 5340, 1390, 23339, 267, 4371, 513, 1164, 2990, 540, 6392, 267, 610, 3366, 10136, 547, 11802, 538, 6370, 941, 1813, 3152, 17008, 982, 1776, 945, 1185, 2944, 5266, 2370, 609, 741, 2729, 269, 13966, 609, 519, 1592, 729, 513, 5618, 13423, 7469, 17548, 945, 519, 1268, 729, 267, 1018, 789, 1185, 2944, 267, 543, 1946, 789, 941, 1813, 971, 17008, 269, 1452, 8638, 543, 13423, 7469, 338, 1522, 3006, 581, 3833, 5618, 855, 1034, 540, 519, 942, 941, 711, 543, 2968, 3476, 607, 713, 2259, 4797, 269, 700, 747, 1492, 574, 6941, 912, 14294, 909, 585, 938, 1863, 12353, 4757, 20394, 2336, 763, 5510, 1359, 5903, 8057, 547, 11999, 3259, 11489, 519, 1554, 593, 799, 606, 6427, 633, 2247, 7691, 602, 513, 2110, 27302, 585, 20644, 902, 1131, 581, 606, 2500, 12990, 585, 519, 7938, 1752, 344, 1592, 269, 4495, 519, 11755, 267, 799, 949, 2907, 723, 11478, 538, 9275, 1106, 267, 729, 2322, 883, 1603, 267, 621, 2968, 519, 2596, 3693, 1472, 799, 19772, 17856, 338, 543, 11269, 941, 6896, 269, 6684, 267, 519, 2479, 561, 1263, 28517, 8638, 540, 606, 4013, 781, 16034, 543, 10643, 941, 29689, 609, 1272, 950, 519, 9345, 3459, 547, 17145, 873, 856, 609, 32538, 267, 543, 519, 32532, 2762, 729, 4535, 269, 630, 274, 994, 763, 26249, 543, 519, 11755, 2968, 519, 1101, 3029, 540, 12266, 3332, 543, 941, 2813, 1210, 519, 9246, 30735, 545, 7097, 563, 14946, 618, 1299, 2422, 540, 28762, 30735, 545, 14644, 454, 295, 1512, 30735, 923, 2919, 856, 540, 519, 2038, 3182, 21106, 269, 4658, 1031, 6698, 267, 5961, 547, 2099, 2035, 971, 607, 513, 1268, 610, 2680, 269, 634, 1966, 609, 513, 3182, 6945, 267, 2705, 267, 568, 602, 519, 1344, 621, 3568, 568, 3833, 3908, 269, 2290, 949, 2721, 513, 4605, 540, 513, 4807, 543, 513, 11454, 543, 513, 13265, 855, 814, 1100, 1259, 540, 882, 11691, 741, 4276, 269, 1772, 519, 4807, 4947, 689, 610, 2469, 547, 519, 11454, 286, 1772, 519, 13265, 606, 5356, 1352, 568, 3056, 547, 519, 20577, 610, 513, 10516, 547, 1200, 689, 873, 286, 1772, 519, 4807, 1256, 2469, 547, 519, 11454, 693, 782, 610, 568, 1352, 8806, 6972, 513, 13265, 538, 519, 25610, 286, 3657, 519, 4807, 543, 13265, 1256, 1644, 693, 782, 286, 634, 2038, 3182, 4919, 1603, 26218, 1022, 2702, 547, 2626, 891, 2055, 563, 763, 21072, 2919, 519, 1482, 1062, 607, 519, 5681, 518, 2103, 855, 3773, 2845, 9999, 630, 32188, 338, 8204, 1913, 264, 543, 1361, 9999, 547, 741, 7097, 563, 763, 5681, 518, 2103, 540, 3504, 27859, 1185, 2907, 2097, 2390, 713, 1966, 538, 1603, 543, 2813, 606, 4359, 7097, 524, 269, 476, 17168, 271, 14514, 538, 519, 2749, 540, 772, 745, 330, 269, 634, 3069, 602, 12266, 7097, 2919, 689, 23104, 1014, 1603, 568, 1034, 25921, 13934, 676, 713, 1646, 267, 538, 1249, 267, 1317, 952, 519, 21072, 1185, 4121, 519, 1148, 540, 1603, 689, 519, 5681, 518, 2103, 267, 789, 1131, 723, 21271, 539, 519, 3942, 540, 3182, 9999, 543, 13175, 609, 519, 5681, 518, 1014, 5137, 540, 13093, 9999, 910, 6698, 799, 2099, 3280, 269, 634, 5681, 518, 2103, 4121, 547, 4228, 741, 2854, 1893, 998, 6698, 2047, 8204, 602, 1893, 865, 602, 952, 789, 24714, 547, 20794, 930, 1808, 1344, 3823, 513, 4807, 267, 513, 11454, 267, 543, 513, 13265, 267, 789, 1223, 2328, 267, 834, 763, 4807, 3576, 519, 13265, 607, 606, 5356, 547, 519, 11454, 2437, 543, 519, 5048, 729, 2312, 563, 763, 21072, 2919, 713, 1482, 1062, 855, 3773, 2845, 9999, 630, 32188, 338, 8204, 1913, 264, 543, 1361, 9999, 547, 741, 7097, 269, 1323, 1361, 6945, 568, 513, 1412, 338, 1619, 1129, 262, 602, 27711, 513, 1978, 5048, 5693, 998, 513, 25992, 3090, 269, 634, 1655, 1383, 540, 606, 1361, 6945, 568, 4440, 513, 14263, 1129, 281, 835, 17767, 602, 621, 1797, 12408, 269, 634, 900, 334, 10202, 568, 513, 2413, 1383, 5432, 547, 4896, 31235, 609, 1257, 532, 282, 11093, 519, 3239, 540, 513, 28617, 3068, 693, 519, 1439, 540, 835, 781, 4845, 13071, 513, 5467, 917, 602, 835, 568, 795, 3183, 610, 9060, 519, 1641, 16168, 269, 634, 13093, 6945, 267, 2845, 6945, 267, 543, 1361, 6945, 1500, 909, 519, 4493, 585, 9246, 30735, 545, 7097, 269, 14472, 531, 773, 6424, 6941, 912, 2467, 616, 1614, 2010, 540, 13093, 9999, 538, 9246, 16570, 335, 923, 281, 796, 4106, 1968, 610, 21229, 12185, 4191, 267, 1141, 835, 9246, 30735, 630, 335, 27348, 264, 4564, 513, 2582, 27901, 610, 3280, 1871, 282, 536, 4106, 1968, 4191, 267, 1141, 835, 9246, 30735, 4564, 1079, 19283, 1218, 282, 543, 959, 4106, 1968, 4191, 1141, 835, 9246, 30735, 4564, 1614, 19283, 1218, 269, 1703, 616, 8938, 21144, 9246, 30735, 545, 4191, 538, 519, 12266, 9904, 543, 891, 616, 519, 13093, 9999, 1034, 4122, 1031, 269, 1809, 2094, 972, 729, 2760, 513, 17033, 21229, 12185, 1062, 267, 891, 4191, 941, 5116, 7258, 824, 13093, 9999, 630, 321, 559, 3438, 1023, 543, 959, 559, 3438, 1023, 264, 543, 1361, 9999, 269, 8211, 9999, 941, 1419, 5116, 693, 519, 1439, 540, 513, 2262, 630, 4944, 8215, 856, 538, 13093, 9999, 264, 547, 12172, 519, 2495, 540, 602, 2262, 543, 267, 950, 1031, 538, 713, 1259, 267, 649, 3277, 547, 873, 607, 834, 323, 9057, 514, 2510, 1701, 901, 20674, 538, 1079, 2081, 281, 519, 1840, 540, 513, 15002, 894, 2337, 547, 12172, 519, 2495, 540, 513, 1880, 2262, 267, 2094, 930, 1913, 1413, 2147, 610, 9838, 547, 1142, 824, 950, 25250, 856, 543, 2854, 1524, 1152, 538, 519, 13093, 9999, 282, 543, 581, 659, 2224, 15002, 2510, 1796, 693, 519, 1439, 540, 519, 2262, 789, 666, 5815, 1141, 835, 2262, 7475, 543, 1776, 5956, 269, 630, 4350, 994, 288, 2413, 6377, 1383, 540, 875, 9246, 30735, 923, 941, 2854, 1131, 581, 513, 1257, 5048, 538, 799, 606, 900, 334, 10202, 540, 606, 14220, 3068, 568, 5116, 1310, 606, 3239, 540, 513, 1153, 269, 9453, 2348, 547, 946, 1022, 1913, 835, 1223, 6655, 519, 1523, 540, 834, 296, 13842, 1153, 257, 610, 834, 296, 993, 14220, 827, 1153, 1701, 1403, 835, 4941, 547, 1118, 835, 781, 1966, 20501, 267, 835, 1223, 1747, 606, 3239, 540, 513, 4116, 610, 8284, 2875, 1354, 519, 14220, 19904, 268, 728, 6945, 610, 513, 3126, 540, 5961, 10213, 513, 1650, 540, 513, 1966, 835, 1185, 609, 513, 4116, 269, 10318, 514, 2510, 941, 1271, 538, 519, 7097, 267, 2523, 1317, 9246, 30735, 923, 1223, 581, 2854, 2451, 3562, 28878, 610, 1318, 3562, 268, 3847, 610, 1524, 3562, 5346, 610, 909, 3562, 16365, 269, 769, 27771, 687, 936, 11454, 9885, 267, 19289, 19235, 267, 543, 9723, 2125, 979, 538, 8726, 4287, 729, 1655, 6039, 585, 602, 5048, 269, 634, 5898, 540, 519, 3803, 960, 729, 519, 1152, 7156, 538, 799, 4287, 519, 7097, 729, 547, 581, 1224, 269, 5527, 6048, 20913, 268, 763, 31121, 2098, 879, 345, 747, 4967, 912, 763, 13307, 540, 9246, 30735, 338, 538, 6935, 547, 835, 1776, 729, 18170, 676, 12716, 3652, 269, 634, 21072, 2141, 6836, 547, 1895, 4191, 538, 7059, 25965, 269, 1280, 1383, 267, 519, 2262, 585, 834, 8234, 257, 729, 2854, 609, 519, 1614, 19283, 1218, 521, 5991, 1532, 269, 1452, 1131, 711, 581, 2854, 1496, 514, 513, 5276, 6752, 316, 676, 606, 12266, 1317, 519, 1895, 1131, 1413, 30299, 267, 621, 1131, 581, 2808, 834, 4532, 8091, 2668, 634, 834, 322, 8091, 257, 1603, 1131, 581, 519, 23454, 540, 519, 4191, 883, 513, 13551, 1862, 763, 4074, 540, 4070, 729, 1769, 2989, 10169, 676, 519, 1249, 602, 1367, 9246, 30735, 338, 1223, 581, 23762, 610, 695, 337, 6064, 607, 519, 23454, 2838, 543, 602, 930, 4191, 1223, 581, 5116, 2901, 23276, 610, 19794, 269, 2480, 1026, 525, 1131, 1256, 9258, 519, 1931, 540, 4191, 952, 621, 8604, 602, 513, 811, 7059, 13551, 1223, 581, 5833, 676, 1603, 873, 538, 519, 4636, 1931, 269, 630, 275, 994, 763, 7097, 1223, 3362, 581, 1224, 676, 9301, 519, 4287, 519, 13093, 9999, 941, 6849, 269, 16103, 538, 1022, 30115, 2141, 3068, 519, 4098, 540, 519, 1899, 540, 1257, 282, 952, 519, 1257, 568, 547, 581, 1224, 2451, 3562, 28878, 1287, 519, 8188, 540, 519, 1004, 267, 5017, 267, 543, 2831, 786, 581, 3168, 547, 519, 2451, 269, 1452, 5220, 941, 2653, 2614, 547, 1224, 585, 1346, 945, 6785, 519, 12266, 1893, 855, 711, 585, 1866, 269, 2098, 879, 345, 747, 4967, 875, 834, 852, 1877, 1851, 782, 519, 9246, 30735, 338, 568, 972, 513, 2582, 1129, 602, 4564, 519, 3280, 540, 513, 20262, 257, 630, 277, 1040, 966, 578, 1564, 941, 5116, 538, 513, 4845, 676, 519, 5467, 945, 6956, 519, 9275, 1893, 269, 2098, 879, 345, 747, 11339, 912, 1607, 568, 1447, 7294, 982, 621, 4992, 269, 1280, 1383, 267, 1022, 540, 721, 666, 1224, 606, 29275, 602, 5161, 3592, 7357, 540, 19283, 1218, 912, 274, 6113, 1166, 337, 19038, 538, 554, 572, 267, 476, 275, 561, 326, 678, 916, 267, 608, 743, 660, 1327, 562, 337, 524, 660, 337, 267, 929, 11899, 267, 530, 1532, 1922, 337, 680, 267, 554, 323, 23424, 1166, 3464, 267, 1236, 2643, 1206, 267, 561, 323, 787, 267, 1269, 7785, 13141, 554, 339, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15416, 1535, 274, 454, 342, 270, 1426, 630, 1729, 3970, 22542, 21385, 5148, 1627, 7495, 547, 3970, 2427, 2360, 282, 1354, 476, 280, 7537, 547, 960, 609, 1439, 18100, 282, 17967, 22558, 4609, 282, 2057, 22521, 3382, 902, 1299, 29935, 1509, 338, 454, 3122, 1355, 4205, 1535, 277, 454, 3008, 288, 1299, 715, 6347, 10680, 630, 22835, 6926, 2644, 5148, 4307, 984, 16808, 1388, 3092, 630, 2889, 339, 11006, 5148, 1609, 5766, 839, 630, 9146, 593, 1439, 18100, 5148, 918, 266, 15723, 1154, 5061, 282, 10074, 630, 26625, 5962, 4761, 5148, 1884, 21355, 12185, 8069, 630, 6921, 1075, 665, 20294, 1355, 1198, 994, 743, 1304, 3450, 1535, 279, 454, 339, 820, 530, 270, 1426, 267, 5144, 282, 1354, 476, 280, 4456, 282, 1100, 2656, 3247, 282, 1651, 337, 918, 266, 282, 581, 2264, 530, 339, 2744, 476, 273, 268, 274, 18470, 11320, 330, 282, 25231, 2280, 282, 2360, 3987, 282, 13657, 530, 270, 6379, 0, 2752, 12087, 299, 2464, 9474, 27345, 654, 302, 297, 5746, 17248, 808, 2752, 308, 313, 30600, 298, 296, 454, 4041, 4696, 281, 10374, 569, 1310, 476, 279, 522, 262, 22018, 713, 6640, 267, 2274, 577, 12986, 320, 267, 519, 20348, 10846, 13653, 267, 22755, 23900, 856, 540, 519, 22255, 514, 26676, 12881, 267, 1141, 646, 1185, 1044, 609, 11495, 4600, 2094, 11728, 269, 2991, 513, 17643, 693, 1753, 267, 646, 22755, 547, 853, 269, 21563, 326, 5866, 781, 5783, 1934, 547, 554, 3291, 548, 609, 1010, 9666, 619, 543, 519, 21674, 540, 717, 323, 13089, 6993, 1872, 755, 476, 2764, 267, 476, 2735, 279, 267, 10732, 454, 4041, 4696, 281, 631, 16554, 841, 590, 269, 717, 12643, 5995, 341, 22283, 20909, 569, 1472, 519, 3390, 540, 20348, 10846, 1282, 513, 3643, 547, 513, 6928, 12881, 593, 519, 27397, 7256, 2221, 267, 1247, 18793, 540, 519, 7979, 31090, 9769, 538, 7013, 12996, 4682, 593, 10880, 693, 513, 2101, 5374, 543, 12227, 1568, 547, 3747, 519, 5368, 8063, 618, 540, 4600, 25323, 1282, 16716, 713, 5614, 12282, 340, 569, 476, 1691, 267, 476, 2735, 279, 267, 13628, 454, 4041, 4696, 281, 631, 16554, 841, 590, 269, 717, 12643, 5995, 341, 267, 519, 8168, 6205, 267, 3357, 547, 713, 3504, 2749, 540, 14470, 15438, 2221, 269, 1809, 519, 15624, 602, 3357, 547, 10950, 1864, 1522, 723, 1044, 689, 3844, 16213, 12282, 340, 569, 476, 1724, 267, 476, 2735, 279, 267, 13723, 454, 4041, 4696, 281, 631, 16554, 841, 590, 269, 717, 12643, 5995, 341, 267, 519, 8168, 6205, 267, 8452, 1934, 2221, 543, 6069, 513, 5870, 540, 3864, 3401, 547, 3035, 3350, 593, 4227, 6671, 7916, 12282, 340, 569, 476, 1321, 267, 476, 2735, 279, 267, 13638, 454, 4041, 4696, 281, 17318, 2962, 267, 5939, 25019, 543, 519, 22196, 8480, 540, 20348, 10846, 18884, 723, 5916, 547, 26699, 12996, 781, 5767, 4074, 27693, 269, 634, 2063, 4600, 2451, 717, 323, 13089, 781, 22255, 514, 26676, 12881, 9444, 7745, 6862, 4619, 16124, 269, 634, 808, 541, 15120, 1564, 7288, 6554, 20476, 7134, 609, 873, 267, 855, 598, 1027, 539, 2370, 8160, 599, 476, 1724, 267, 476, 2735, 279, 267, 11016, 454, 4041, 4696, 281, 634, 2359, 540, 519, 2462, 22255, 514, 6928, 12881, 1558, 2221, 585, 519, 1101, 942, 609, 4600, 11495, 585, 2362, 2628, 543, 585, 519, 3656, 1436, 540, 519, 20348, 10846, 4123, 9769, 8160, 599, 476, 5400, 267, 476, 2735, 279, 267, 10732, 454, 4041, 4696, 281, 2991, 513, 1365, 924, 540, 1896, 1296, 267, 519, 16716, 538, 12996, 723, 519, 7979, 31090, 20348, 10846, 9769, 543, 519, 2367, 1472, 2637, 269, 654, 19390, 322, 773, 577, 808, 541, 15120, 1564, 7288, 16302, 1055, 1586, 899, 1079, 13110, 4216, 619, 8160, 599, 476, 4962, 267, 476, 2735, 279, 267, 13628, 454, 4041, 4696, 281, 634, 6554, 540, 2637, 269, 654, 19390, 322, 773, 577, 808, 541, 15120, 1564, 7288, 4951, 4191, 2221, 602, 621, 1185, 1044, 695, 2586, 676, 4074, 19727, 607, 519, 4102, 543, 1034, 7298, 10880, 538, 12996, 538, 3670, 1296, 9411, 922, 3791, 1554, 6993, 1440, 559, 476, 3066, 267, 476, 2735, 279, 267, 11016, 454, 4041, 4696, 281, 631, 732, 330, 3798, 601, 2006, 568, 606, 13943, 812, 269, 1280, 835, 3364, 267, 972, 568, 1010, 1686, 269, 769, 476, 3707, 274, 267, 950, 519, 20352, 5828, 1996, 13609, 781, 20679, 267, 543, 519, 3375, 3357, 547, 986, 2763, 519, 32160, 575, 2867, 1729, 267, 646, 729, 519, 476, 2420, 4458, 6040, 1244, 14280, 19524, 540, 519, 26525, 7642, 945, 13934, 4436, 1522, 676, 2921, 909, 7916, 6993, 1440, 559, 476, 736, 267, 476, 2735, 279, 267, 13723, 454, 4041, 4696, 281, 21474, 547, 936, 3873, 592, 12996, 781, 23881, 18146, 4346, 267, 9307, 609, 10178, 11071, 2063, 15489, 267, 723, 1044, 4553, 676, 16559, 11832, 17600, 543, 519, 3463, 540, 2196, 12537, 10637, 8160, 1105, 476, 1839, 267, 476, 2735, 279, 267, 11016, 454, 10345, 24086, 476, 14341, 8121, 12087, 299, 2464, 9474, 27345, 654, 302, 297, 5746, 17248, 808, 2752, 308, 313, 30600, 298, 296, 912, 268, 32000, 1923, 10606, 9197, 4875, 281, 4208, 4033, 18831, 17546, 14568, 454, 268, 10552, 16242, 13832, 2052, 2142, 10753, 657, 2989, 267, 19937, 590, 904, 454, 268, 1548, 781, 538, 898, 286, 281, 3657, 715, 7491, 513, 13379, 6441, 1601, 22707, 888, 268, 589, 5020, 540, 715, 22751, 1290, 525, 9509, 17781, 454, 268, 20944, 513, 8752, 286, 16727, 8776, 577, 4039, 599, 1530, 2114, 595, 2720, 539, 547, 519, 661, 2738, 540, 519, 3047, 454, 268, 589, 17151, 13717, 674, 697, 18830, 3690, 674, 1846, 454, 268, 14956, 7232, 323, 28758, 626, 281, 14199, 23715, 787, 779, 14216, 2590, 268, 2710, 454, 268, 14956, 7232, 323, 28758, 626, 281, 2048, 1432, 1772, 6153, 9752, 286, 20371, 268, 4270, 281, 9701, 1284, 570, 1601, 3776, 12192, 623, 1571, 888, 268, 14956, 7232, 323, 28758, 626, 281, 1975, 3539, 14840, 2549, 758, 454, 305, 1087, 3171, 2644, 2201, 654, 19390, 322, 773, 577, 808, 541, 15120, 1564, 7288, 454, 29771, 547, 606, 681, 7704, 3049, 593, 713, 1888, 269, 1548, 568, 681, 7704, 286, 0, 5804, 9105, 3220, 26264, 454, 303, 12149, 8205, 568, 519, 6553, 540, 519, 9641, 602, 568, 2356, 3361, 676, 519, 3968, 609, 4551, 267, 3644, 267, 13271, 610, 824, 7103, 269, 1809, 519, 2165, 16415, 1797, 1114, 547, 2619, 5505, 543, 19353, 269, 1280, 2619, 5505, 621, 1797, 3968, 540, 519, 31276, 10008, 267, 30218, 28296, 543, 26300, 527, 1756, 602, 28107, 607, 2799, 2597, 540, 519, 9641, 267, 10682, 540, 519, 3339, 5761, 779, 29008, 1465, 676, 28051, 543, 31276, 10008, 4904, 609, 3043, 1973, 2281, 267, 2699, 1973, 2281, 543, 27417, 514, 269, 1280, 19353, 267, 519, 2165, 16415, 1797, 267, 513, 26424, 540, 4191, 543, 2589, 899, 8611, 267, 669, 1571, 267, 5418, 584, 12792, 9221, 1928, 267, 838, 583, 636, 2504, 267, 3834, 334, 610, 5409, 750, 8926, 267, 512, 778, 2988, 12795, 543, 8984, 4681, 899, 19357, 658, 7244, 593, 513, 19895, 738, 566, 269, 623, 12149, 8205, 5631, 5540, 1453, 543, 1004, 540, 2025, 2085, 1498, 1256, 1762, 1004, 616, 849, 11630, 563, 303, 12149, 8205, 568, 17618, 9286, 538, 547, 1079, 6688, 1759, 593, 875, 519, 3968, 568, 9715, 269, 1358, 616, 268, 7991, 21733, 1600, 623, 12149, 8205, 543, 11233, 9715, 623, 12149, 8205, 610, 715, 657, 665, 6706, 623, 12149, 8205, 269, 7991, 9715, 16415, 538, 2490, 666, 581, 2901, 1346, 602, 581, 5701, 538, 606, 5605, 17419, 4259, 610, 1346, 799, 616, 1360, 4049, 8506, 538, 18345, 2126, 269, 19452, 715, 657, 665, 6706, 16415, 666, 581, 2901, 5887, 559, 1807, 2404, 610, 1875, 268, 1203, 559, 1807, 2404, 16415, 563, 763, 17422, 3984, 23640, 602, 2061, 5563, 1331, 519, 26715, 2934, 899, 17725, 8514, 7149, 267, 8325, 2587, 1637, 540, 519, 13439, 2684, 28449, 267, 11940, 334, 2275, 18416, 3560, 1062, 267, 543, 1350, 2714, 529, 269, 1452, 782, 2061, 5563, 693, 519, 5580, 7929, 8778, 1377, 269, 595, 965, 16846, 2061, 5563, 10024, 538, 547, 519, 2539, 7929, 8778, 269, 13722, 7929, 8778, 538, 1840, 568, 6870, 676, 31457, 267, 4017, 1258, 1254, 267, 11430, 15605, 10192, 267, 14915, 21580, 12541, 267, 16384, 294, 543, 1147, 2399, 1218, 269, 1879, 891, 8878, 6127, 616, 22314, 267, 621, 2164, 538, 16415, 563, 1103, 2739, 687, 949, 581, 9715, 676, 8321, 566, 267, 27829, 1436, 267, 543, 22104, 18100, 3262, 610, 676, 733, 580, 8462, 689, 513, 7404, 7783, 3135, 269, 15742, 14471, 899, 932, 31779, 807, 4865, 524, 8270, 739, 1738, 2188, 799, 7519, 519, 11940, 665, 18416, 11064, 547, 2014, 3968, 269, 9948, 316, 634, 1455, 7103, 4929, 16415, 616, 6790, 696, 19905, 16415, 267, 853, 20942, 19905, 28857, 267, 29901, 21182, 2742, 16415, 324, 267, 12920, 17232, 639, 14798, 267, 28342, 14137, 553, 7098, 1872, 514, 6242, 543, 21890, 2125, 328, 7578, 16415, 324, 563, 303, 12149, 8205, 28107, 616, 2185, 3270, 799, 616, 10981, 541, 16415, 267, 19357, 641, 12149, 8205, 267, 26300, 527, 658, 16415, 543, 4108, 16415, 563, 1607, 16415, 1362, 1227, 3322, 519, 3003, 27914, 540, 519, 5761, 269, 1703, 616, 2185, 5933, 1107, 20316, 267, 2699, 14817, 1436, 267, 12457, 14817, 1436, 543, 6571, 563, 1607, 2874, 540, 15429, 344, 28051, 5473, 835, 610, 1896, 10981, 525, 2356, 519, 2539, 543, 519, 17911, 10981, 525, 563, 2005, 568, 3989, 676, 1277, 13771, 1670, 8446, 540, 519, 12982, 1184, 15866, 5473, 519, 26300, 527, 1756, 1519, 519, 31276, 6897, 3774, 543, 519, 24561, 5160, 4478, 519, 19357, 7975, 3529, 563, 2005, 5161, 540, 3875, 15768, 15087, 4611, 689, 3262, 540, 519, 13596, 547, 519, 9641, 3842, 519, 1973, 6908, 563, 29819, 543, 2589, 454, 7197, 540, 519, 1004, 723, 3355, 2589, 540, 4411, 799, 568, 2663, 4553, 676, 824, 2589, 899, 24121, 268, 674, 1197, 609, 669, 1571, 454, 268, 590, 1584, 636, 2073, 3006, 1973, 26911, 454, 268, 30446, 1928, 454, 763, 5868, 568, 2944, 676, 1686, 267, 4791, 6514, 543, 13753, 269, 11916, 6514, 949, 1397, 8611, 267, 7362, 16531, 267, 19826, 2670, 267, 20585, 1145, 547, 25576, 15664, 267, 19357, 658, 7244, 267, 19838, 2684, 3415, 267, 11523, 956, 267, 765, 324, 8240, 543, 5418, 1116, 11508, 6299, 269, 634, 1034, 1271, 7634, 568, 1496, 322, 14394, 281, 311, 11920, 347, 3832, 560, 1535, 11920, 4940, 898, 949, 1397, 28051, 538, 519, 1106, 540, 1566, 13369, 610, 3043, 15649, 269, 769, 26300, 527, 658, 16415, 267, 1535, 11920, 949, 711, 1397, 4376, 9402, 269, 17240, 14004, 9577, 18873, 949, 1397, 513, 6175, 538, 519, 4105, 4390, 267, 5761, 10220, 267, 6198, 15895, 4390, 543, 2698, 5761, 4390, 269, 634, 824, 13753, 1331, 2347, 1973, 1293, 267, 838, 583, 636, 6514, 543, 3006, 1973, 2528, 563, 763, 2126, 9247, 5161, 540, 7245, 540, 11216, 269, 3509, 13596, 616, 11259, 547, 513, 1297, 540, 11216, 269, 1924, 519, 3903, 540, 519, 11216, 5673, 593, 519, 1826, 540, 11248, 267, 922, 18687, 547, 519, 11216, 543, 519, 2783, 540, 519, 3461, 563, 5353, 3164, 2665, 540, 16415, 616, 547, 581, 5701, 607, 538, 6312, 1801, 609, 11215, 1416, 1519, 5135, 7245, 267, 32326, 12862, 543, 3006, 896, 5887, 559, 2218, 2359, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2645, 269, 10434, 518, 2326, 28173, 519, 946, 540, 811, 7347, 543, 5957, 15033, 1907, 2326, 267, 4180, 15325, 543, 2298, 563, 274, 269, 2878, 306, 16577, 5685, 880, 4995, 7698, 21052, 5540, 519, 2627, 9096, 540, 519, 2577, 1441, 851, 269, 1924, 1123, 2326, 4043, 547, 6556, 23704, 26088, 267, 1247, 9875, 2326, 949, 2154, 3606, 18138, 3157, 547, 3035, 519, 5551, 2627, 2298, 563, 275, 269, 2878, 307, 11217, 1734, 4995, 19793, 1324, 9395, 7109, 1734, 568, 2629, 538, 18981, 20619, 269, 7698, 21052, 666, 1764, 519, 8856, 540, 519, 3803, 1587, 267, 1818, 621, 1898, 547, 2824, 2326, 602, 5447, 609, 21021, 4170, 563, 1262, 18893, 30093, 18981, 7557, 1456, 585, 10434, 1145, 12533, 303, 18166, 3334, 609, 1808, 21052, 2157, 998, 18981, 20619, 3340, 6297, 4058, 543, 11056, 269, 3371, 616, 519, 1883, 3268, 912, 272, 269, 2878, 300, 1468, 19139, 4995, 7994, 513, 1570, 609, 519, 5551, 21052, 585, 519, 3498, 269, 901, 3375, 1058, 2015, 2188, 971, 607, 4452, 24481, 4390, 267, 2825, 2175, 267, 543, 2838, 8856, 563, 273, 269, 2878, 307, 944, 19139, 4995, 8564, 5969, 2645, 1500, 689, 2326, 899, 29743, 610, 23907, 602, 666, 16641, 519, 21052, 540, 519, 32179, 1570, 563, 274, 269, 2878, 18893, 4476, 28981, 30352, 4995, 17797, 5969, 11250, 267, 20555, 267, 543, 17909, 540, 2759, 547, 6474, 519, 21052, 540, 519, 1570, 269, 901, 11938, 5849, 3608, 1570, 8851, 1247, 8497, 1907, 1272, 563, 275, 269, 2878, 290, 944, 656, 543, 700, 17128, 566, 4995, 25956, 2500, 3579, 656, 543, 19149, 566, 1949, 547, 26632, 622, 3002, 6383, 1282, 20619, 267, 2523, 950, 2324, 609, 9875, 2326, 563, 276, 269, 2878, 26660, 6513, 4995, 17115, 8524, 543, 2268, 2577, 1441, 3334, 547, 2327, 789, 2743, 519, 5551, 21052, 543, 21021, 16551, 563, 300, 1468, 21052, 568, 606, 16832, 2460, 540, 18981, 20619, 267, 12018, 1907, 5542, 267, 5969, 6724, 267, 2627, 9096, 267, 543, 519, 2949, 2298, 540, 519, 3803, 1587, 269, 13583, 20445, 1590, 5431, 519, 2956, 540, 1570, 21052, 543, 1118, 5483, 5079, 547, 11126, 741, 18981, 20619, 3157, 269, 1635, 3257, 865, 267, 789, 666, 2327, 519, 2504, 540, 3334, 602, 2743, 610, 9765, 519, 5551, 21052, 2157, 267, 4611, 538, 6325, 543, 1164, 7779, 1439, 2472, 269, 18981, 631, 3739, 0, 1103, 6476, 609, 824, 31232, 2477, 267, 16848, 10525, 1657, 8584, 2071, 2298, 540, 1272, 269, 1809, 922, 13884, 568, 10483, 676, 1164, 2157, 540, 4199, 4616, 267, 799, 3565, 547, 8733, 543, 1514, 2042, 5001, 269, 11569, 267, 16848, 779, 8733, 11640, 568, 827, 1614, 2053, 3152, 982, 1018, 1223, 581, 2808, 538, 5329, 609, 19236, 6302, 563, 293, 21682, 593, 2950, 538, 1614, 18230, 6237, 2470, 11614, 607, 1134, 607, 513, 7404, 6917, 1852, 1895, 267, 713, 1382, 1788, 12116, 2436, 543, 875, 1164, 2298, 540, 1272, 267, 538, 782, 922, 18125, 267, 568, 15095, 609, 4264, 1646, 563, 763, 1788, 12220, 1004, 779, 5380, 593, 4540, 32475, 1063, 2298, 540, 1272, 543, 6940, 269, 634, 2164, 1058, 948, 547, 2697, 2081, 540, 11745, 1944, 1114, 3344, 540, 1272, 2298, 543, 4264, 1646, 538, 11614, 543, 824, 6917, 2127, 563, 29753, 513, 1523, 540, 4264, 2298, 540, 1272, 912, 304, 783, 5511, 11042, 609, 7264, 540, 519, 14803, 990, 807, 4236, 1905, 1046, 267, 519, 717, 656, 5142, 577, 7186, 5244, 267, 543, 519, 20648, 4437, 14459, 9980, 30503, 1276, 267, 607, 1134, 607, 609, 2818, 540, 519, 1852, 1895, 912, 23797, 5511, 1239, 11018, 3842, 2854, 12220, 540, 10820, 538, 519, 1614, 11614, 543, 1851, 519, 1852, 1895, 912, 14946, 618, 543, 4152, 540, 606, 6293, 585, 5464, 4264, 2298, 540, 1272, 912, 9743, 3482, 540, 24205, 267, 2160, 540, 12672, 454, 294, 656, 5142, 577, 7186, 5244, 454, 7419, 18739, 4437, 14459, 9980, 30503, 1276, 0, 4002, 713, 2985, 912, 1607, 1900, 2337, 596, 6430, 519, 3483, 540, 707, 6268, 269, 901, 568, 1271, 865, 912, 268, 1411, 666, 2327, 519, 6268, 786, 2268, 1018, 6927, 585, 1818, 3664, 563, 268, 898, 568, 2312, 547, 782, 8639, 1018, 519, 6268, 779, 3483, 568, 267, 6382, 789, 1522, 581, 14126, 827, 519, 6268, 543, 1018, 621, 1797, 585, 873, 269, 1280, 1383, 267, 789, 1223, 1745, 741, 1367, 2773, 568, 1373, 24565, 630, 324, 3052, 269, 3610, 3238, 538, 519, 11036, 1522, 581, 7255, 519, 6268, 1223, 1439, 909, 9505, 1154, 1524, 519, 11036, 267, 610, 581, 606, 6268, 540, 741, 1367, 2773, 1916, 268, 634, 6268, 1281, 711, 1831, 513, 2048, 339, 1157, 519, 4216, 685, 3635, 267, 855, 3079, 568, 2141, 606, 4316, 547, 1265, 2081, 547, 2087, 7341, 563, 3528, 519, 1439, 540, 713, 1900, 596, 786, 723, 912, 268, 5772, 1881, 519, 3483, 4433, 264, 540, 707, 6268, 454, 26368, 519, 3483, 4433, 264, 540, 707, 13241, 2069, 11036, 6268, 454, 1607, 568, 1141, 621, 782, 6238, 281, 1018, 616, 596, 3843, 547, 3035, 286, 898, 1522, 3100, 6654, 855, 952, 596, 2461, 711, 2312, 827, 713, 267, 3388, 3116, 786, 581, 540, 1447, 1871, 563, 9336, 6268, 13290, 547, 1174, 2436, 513, 13241, 2069, 11036, 6913, 922, 6662, 1775, 4318, 269, 1018, 621, 729, 2813, 547, 798, 269, 901, 568, 519, 1883, 6268, 2243, 543, 568, 1455, 547, 782, 13241, 2069, 20241, 563, 763, 1483, 1379, 540, 606, 6268, 568, 1018, 596, 798, 609, 519, 2626, 547, 602, 2243, 269, 1411, 666, 946, 713, 1344, 585, 1114, 5301, 543, 547, 1118, 1114, 3664, 269, 1280, 1383, 267, 596, 1522, 946, 606, 6268, 547, 798, 835, 610, 811, 540, 519, 1739, 912, 268, 32341, 547, 3136, 610, 3247, 519, 11036, 563, 268, 32341, 547, 1689, 519, 11036, 267, 552, 3052, 563, 268, 17361, 909, 630, 24708, 621, 8273, 610, 3476, 1916, 268, 7827, 519, 3077, 5304, 630, 15367, 519, 11036, 568, 585, 552, 3052, 269, 2085, 2516, 267, 6690, 267, 1164, 268, 778, 773, 1324, 1053, 1916, 268, 7827, 945, 568, 14718, 630, 15367, 666, 7119, 538, 519, 11036, 1916, 268, 4676, 710, 519, 1374, 540, 519, 11036, 630, 6343, 519, 11036, 5654, 899, 1315, 1018, 621, 1281, 1916, 268, 8073, 513, 11450, 630, 25217, 1532, 5350, 11450, 267, 610, 609, 2146, 14540, 1916, 268, 8058, 519, 1871, 540, 519, 11036, 547, 513, 8034, 837, 610, 1761, 7649, 547, 2744, 741, 1489, 563, 268, 19928, 1393, 547, 3838, 1702, 827, 1018, 1568, 538, 1114, 13241, 2069, 7341, 563, 2791, 798, 711, 991, 547, 1683, 513, 2603, 540, 1469, 827, 519, 3483, 4433, 264, 540, 707, 6268, 267, 855, 2614, 547, 6430, 1018, 596, 991, 547, 798, 267, 543, 547, 1683, 2312, 5583, 585, 1346, 3238, 538, 519, 6268, 543, 519, 11036, 269, 2142, 607, 1808, 607, 596, 666, 563, 5629, 596, 4076, 4857, 707, 3483, 267, 596, 666, 1418, 1047, 519, 6268, 547, 2327, 621, 13978, 593, 3950, 269, 1280, 1383, 912, 268, 1403, 596, 1616, 547, 6430, 2436, 547, 3136, 610, 3247, 707, 11036, 281, 1411, 1522, 581, 5461, 538, 7893, 519, 11036, 779, 5222, 610, 4093, 267, 585, 1383, 267, 2436, 621, 814, 6913, 1018, 596, 4941, 621, 547, 563, 268, 1403, 596, 1616, 547, 6430, 2436, 543, 875, 547, 1689, 707, 11036, 281, 2791, 1131, 6218, 519, 5079, 596, 1500, 827, 621, 267, 543, 2436, 4566, 941, 6707, 8045, 269, 901, 19306, 1761, 9342, 610, 2127, 585, 6454, 602, 1522, 948, 596, 1174, 1018, 547, 1689, 563, 268, 1403, 596, 1616, 547, 1397, 1871, 547, 513, 8034, 837, 610, 1761, 7649, 281, 1411, 1223, 2307, 1018, 4093, 616, 1271, 547, 873, 269, 3417, 2081, 547, 2268, 891, 538, 707, 6268, 269, 1280, 1383, 267, 606, 11036, 1522, 2832, 547, 3622, 2087, 2875, 9740, 269, 1809, 519, 8034, 837, 1522, 581, 3226, 5461, 538, 1053, 2679, 2048, 2641, 560, 2540, 1983, 685, 630, 324, 3052, 269, 1966, 9010, 267, 2565, 3206, 264, 865, 519, 11036, 779, 6268, 1131, 1331, 2081, 547, 2268, 891, 1983, 563, 268, 1403, 596, 1616, 547, 3565, 547, 513, 3838, 1620, 540, 1018, 1568, 281, 898, 568, 1271, 547, 5968, 25727, 827, 519, 11036, 543, 519, 2796, 630, 324, 3052, 269, 1032, 1377, 267, 1808, 1895, 6098, 676, 11036, 3379, 609, 1895, 945, 2965, 4607, 621, 1040, 901, 2636, 1346, 2542, 519, 6268, 779, 8753, 547, 2708, 875, 2147, 610, 1114, 713, 568, 547, 741, 2796, 543, 1451, 689, 707, 2833, 269, 0, 1607, 568, 519, 1007, 476, 1708, 274, 7160, 540, 938, 476, 280, 628, 6103, 1770, 593, 18004, 513, 17235, 676, 7066, 341, 528, 25424, 269, 16731, 938, 661, 6369, 21517, 547, 2070, 519, 476, 1708, 272, 7160, 540, 519, 1770, 563, 2108, 7712, 594, 20705, 547, 1100, 1895, 594, 4121, 547, 1847, 16900, 1063, 2516, 269, 594, 729, 513, 669, 877, 548, 517, 267, 1869, 267, 513, 2686, 669, 877, 548, 517, 892, 630, 335, 269, 476, 9610, 994, 268, 18004, 513, 17235, 267, 7066, 341, 528, 25424, 454, 1103, 5149, 476, 273, 267, 1053, 786, 3136, 547, 2263, 519, 2856, 540, 3961, 267, 6313, 519, 6988, 540, 3961, 1646, 1247, 835, 4044, 919, 5198, 267, 2528, 267, 543, 12250, 10168, 538, 3162, 3979, 2486, 1282, 543, 1310, 32044, 607, 789, 1224, 18004, 513, 17235, 676, 7066, 341, 528, 25424, 269, 4438, 713, 1770, 267, 1053, 786, 5659, 875, 606, 2278, 18271, 5339, 543, 17720, 2609, 971, 607, 3159, 267, 18572, 267, 23278, 4925, 267, 11052, 267, 543, 27461, 1893, 269, 769, 1840, 267, 1053, 786, 2015, 875, 25424, 17543, 3889, 1010, 2239, 15923, 1257, 267, 543, 1174, 875, 646, 3096, 9644, 547, 1020, 1010, 1950, 4661, 827, 10168, 543, 922, 1764, 593, 3961, 1646, 563, 1607, 1770, 5956, 609, 1053, 1565, 1271, 3140, 4282, 827, 32044, 538, 3162, 4000, 269, 4841, 786, 1224, 21141, 5931, 593, 32044, 543, 922, 4507, 543, 849, 1451, 827, 20307, 13495, 11253, 267, 2502, 538, 513, 2673, 17720, 2079, 540, 13495, 11253, 779, 22305, 1116, 4633, 1141, 789, 2015, 519, 1379, 540, 1913, 547, 26595, 1004, 543, 8300, 4126, 585, 513, 4182, 269, 4841, 786, 849, 7119, 538, 513, 2110, 1382, 1788, 593, 513, 1808, 2460, 540, 3162, 3979, 1686, 267, 9306, 741, 4681, 547, 741, 9905, 998, 513, 3059, 6881, 267, 3976, 29947, 741, 4282, 1702, 1354, 2542, 519, 17728, 563, 763, 2034, 9095, 540, 519, 1770, 568, 513, 1353, 540, 7066, 341, 528, 25424, 779, 18004, 513, 17235, 267, 513, 17728, 827, 25424, 779, 942, 3395, 909, 607, 513, 3368, 15918, 871, 3368, 22554, 7911, 896, 32044, 543, 538, 519, 2022, 268, 777, 691, 22727, 5736, 538, 519, 476, 1960, 271, 338, 269, 2755, 2542, 267, 1053, 786, 3950, 11358, 8090, 538, 519, 1257, 1141, 25424, 3096, 9644, 267, 15663, 950, 267, 875, 267, 543, 1946, 646, 3096, 9644, 269, 3958, 267, 1053, 786, 4749, 24680, 856, 543, 5659, 519, 1646, 540, 25424, 779, 4661, 827, 519, 10167, 1063, 5198, 267, 3961, 267, 543, 12250, 10168, 269, 4841, 786, 849, 4497, 538, 1079, 24233, 1603, 10526, 602, 786, 16436, 873, 547, 900, 3634, 25424, 779, 1603, 2511, 267, 14139, 3159, 267, 5188, 267, 6609, 267, 543, 11052, 267, 1210, 1883, 10207, 689, 741, 2542, 607, 21927, 5931, 563, 1103, 519, 3791, 543, 3803, 9095, 540, 519, 1770, 267, 1053, 786, 5965, 585, 543, 7119, 538, 513, 14805, 894, 1124, 337, 1738, 29519, 593, 25424, 779, 18004, 513, 17235, 543, 2347, 519, 2773, 4305, 267, 513, 2123, 2239, 267, 602, 12134, 1053, 547, 2015, 741, 1378, 3961, 1646, 543, 519, 1764, 540, 6848, 543, 7293, 4229, 267, 16107, 18004, 513, 17235, 607, 513, 21927, 1257, 269, 0, 8269, 1456, 543, 13215, 835, 781, 2930, 5759, 568, 513, 30883, 24207, 1480, 20949, 269, 3767, 1877, 568, 713, 15859, 783, 5397, 865, 7805, 607, 538, 519, 1148, 1158, 282, 5159, 723, 1044, 4827, 532, 741, 1983, 2094, 519, 9998, 6592, 1686, 269, 2755, 4480, 949, 711, 581, 519, 3119, 12716, 1871, 540, 513, 960, 630, 2288, 713, 666, 581, 23503, 1439, 8393, 1070, 2348, 513, 17117, 540, 2930, 5578, 1369, 741, 6074, 7499, 5420, 267, 6087, 5159, 547, 1655, 2769, 2933, 543, 5968, 741, 2093, 609, 3178, 543, 8356, 766, 269, 769, 713, 2376, 267, 649, 1592, 930, 540, 519, 6574, 1148, 4827, 525, 538, 1686, 563, 7197, 5159, 945, 1831, 1634, 607, 2048, 19651, 32187, 8730, 798, 865, 998, 3384, 741, 4480, 267, 11319, 519, 6302, 540, 741, 5420, 267, 543, 1256, 3384, 1007, 2553, 267, 6163, 543, 3029, 540, 1148, 269, 898, 568, 513, 2386 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 476, 1220, 278, 950, 5216, 9601, 941, 4299, 538, 1614, 5094, 10913, 5473, 772, 311, 302, 269, 1691, 769, 476, 1220, 277, 267, 519, 772, 2529, 269, 4972, 540, 3557, 21248, 2475, 259, 25628, 267, 6924, 273, 547, 667, 2106, 17357, 335, 4139, 547, 6861, 14408, 13624, 310, 602, 519, 670, 1180, 584, 534, 2229, 1185, 16363, 11991, 585, 922, 3084, 3354, 269, 667, 2106, 17357, 335, 6192, 519, 1788, 538, 476, 1220, 278, 676, 21006, 476, 1724, 267, 27151, 14408, 13624, 310, 267, 2059, 609, 476, 273, 267, 7176, 273, 2244, 332, 1149, 543, 476, 279, 2412, 476, 8099, 1790, 895, 630, 4649, 10275, 326, 264, 19666, 23038, 269, 1626, 454, 5804, 476, 2735, 277, 547, 476, 1960, 273, 267, 1312, 2229, 543, 31111, 4229, 900, 31419, 1472, 476, 272, 267, 1822, 2244, 332, 1149, 1282, 606, 4835, 4655, 538, 5080, 514, 877, 269, 17652, 1310, 513, 4708, 6876, 729, 6603, 1063, 519, 11562, 532, 6105, 267, 519, 5080, 514, 877, 2229, 15748, 20491, 8830, 645, 10440, 269, 901, 1788, 729, 23032, 676, 519, 744, 3008, 543, 729, 2111, 547, 2312, 1034, 540, 519, 12526, 269, 667, 1619, 10664, 7620, 15286, 1629, 29794, 689, 8757, 476, 1724, 610, 865, 2244, 332, 1149, 267, 855, 609, 948, 689, 519, 744, 3008, 267, 5080, 514, 877, 729, 2111, 547, 9004, 891, 15183, 676, 4989, 476, 1220, 276, 269, 1704, 454, 5475, 713, 1507, 5106, 267, 519, 744, 3008, 10294, 5080, 514, 877, 547, 581, 968, 332, 710, 1863, 2223, 273, 17548, 602, 267, 1310, 12032, 540, 519, 1788, 267, 606, 6059, 476, 273, 267, 277, 1724, 4009, 7397, 630, 271, 269, 4792, 14143, 264, 540, 2244, 729, 23498, 543, 2922, 585, 19742, 946, 269, 277, 3245, 476, 1220, 277, 547, 476, 1220, 278, 267, 519, 772, 2529, 269, 4972, 540, 3557, 779, 8433, 540, 1284, 777, 976, 31203, 543, 2806, 622, 618, 538, 519, 13163, 540, 11572, 5336, 26090, 16457, 26438, 681, 2177, 4596, 31173, 15278, 585, 1269, 3393, 280, 267, 1822, 547, 9004, 606, 936, 629, 1495, 766, 540, 993, 32099, 602, 519, 5080, 514, 877, 2229, 1185, 16363, 11991, 269, 4438, 519, 1788, 267, 681, 2177, 4596, 10032, 476, 4817, 267, 31798, 21448, 540, 4550, 25101, 8154, 993, 32099, 267, 2059, 609, 476, 274, 267, 13975, 267, 11260, 21448, 540, 1547, 2004, 23343, 9200, 993, 32099, 269, 1240, 454, 7437, 3292, 23032, 676, 519, 744, 3008, 543, 3646, 1500, 676, 519, 1367, 2477, 5892, 21002, 2989, 609, 5739, 18317, 310, 267, 2244, 332, 1149, 723, 1044, 23498, 538, 22728, 28573, 267, 4432, 30571, 267, 30188, 267, 670, 1180, 32136, 543, 5080, 514, 877, 269, 2991, 5756, 540, 9552, 689, 2244, 332, 1149, 543, 824, 18317, 310, 267, 891, 2477, 723, 6707, 10294, 741, 11182, 1863, 689, 519, 1764, 540, 15183, 563, 31861, 27215, 1122, 601, 5249, 607, 606, 32000, 19608, 585, 634, 4750, 540, 18317, 310, 543, 17719, 11059, 689, 5239, 476, 1220, 277, 998, 2904, 476, 1220, 280, 269, 1261, 21783, 689, 6276, 23885, 2160, 538, 2904, 476, 1220, 280, 609, 513, 25328, 540, 8551, 538, 1820, 19761, 543, 1295, 832, 538, 5053, 543, 5664, 8109, 2950, 543, 4955, 5928, 563, 268, 15503, 781, 8074, 281, 2368, 3906, 2015, 15183, 543, 18317, 310, 547, 581, 1079, 5094, 9988, 267, 2094, 789, 616, 14931, 676, 1114, 3656, 6054, 630, 1492, 5449, 676, 519, 31747, 13482, 543, 2549, 2105, 16257, 4083, 540, 519, 13482, 593, 15742, 1230, 14846, 1284, 777, 976, 267, 519, 8545, 676, 16671, 310, 16257, 966, 1040, 1717, 267, 2094, 15183, 616, 23292, 3457, 602, 723, 2147, 2360, 547, 824, 18317, 310, 543, 621, 568, 1419, 7543, 547, 5094, 519, 1079, 1282, 24999, 4238, 267, 930, 538, 519, 2146, 723, 7550, 513, 834, 11529, 4214, 257, 630, 553, 10353, 547, 513, 3656, 835, 264, 540, 18317, 310, 538, 799, 621, 568, 513, 24120, 2165, 602, 2882, 15183, 267, 772, 311, 302, 267, 14460, 23292, 3921, 333, 766, 543, 824, 23292, 3457, 563, 268, 15503, 781, 8074, 281, 2368, 2477, 543, 9553, 268, 9146, 3906, 616, 28409, 519, 946, 540, 519, 2165, 834, 332, 710, 1863, 2437, 1247, 1866, 616, 17611, 17639, 519, 2165, 834, 332, 710, 2922, 257, 610, 834, 11069, 716, 1863, 1701, 834, 300, 710, 1863, 257, 598, 17084, 513, 2783, 1141, 782, 2244, 332, 1149, 723, 1044, 23498, 267, 6466, 519, 2474, 834, 332, 710, 2922, 257, 543, 834, 11069, 716, 1863, 257, 3277, 547, 519, 2783, 538, 799, 2244, 332, 1149, 1100, 3476, 10460, 513, 23674, 3463, 547, 513, 2146, 610, 2197, 563, 268, 1280, 811, 1344, 827, 519, 9257, 540, 1977, 2276, 543, 922, 17719, 11059, 5358, 267, 5225, 3643, 281, 5291, 2517, 4178, 269, 334, 553, 3820, 270, 4486, 318, 1170, 1132, 270, 1263, 270, 7659, 296, 1087, 826, 318, 19547, 841, 269, 5684, 286, 330, 529, 318, 5913, 284, 1556, 269, 21700, 476, 2641, 5130, 476, 1220, 280, 563, 268, 968, 21798, 320, 28573, 1848, 8092, 332, 710, 18554, 7797, 476, 1960, 280, 281, 27870, 513, 17719, 6363, 872, 2622, 269, 1715, 3840, 281, 4139, 22411, 547, 14465, 8092, 332, 1149, 269, 5291, 2517, 4178, 269, 545, 4565, 3820, 15828, 332, 270, 1960, 280, 11305, 739, 320, 318, 878, 320, 11258, 269, 21700, 476, 2641, 5130, 476, 1220, 280, 563, 268, 968, 21798, 320, 28573, 1848, 8092, 332, 710, 18554, 7797, 476, 1220, 272, 281, 27870, 513, 17719, 6363, 872, 2622, 269, 1715, 3840, 281, 4139, 22411, 547, 14465, 8092, 332, 1149, 269, 5291, 2517, 4178, 269, 545, 4565, 3820, 15828, 332, 270, 1220, 272, 11305, 739, 320, 318, 878, 320, 28918, 21700, 476, 2641, 5130, 476, 1220, 280, 563, 268, 19809, 676, 6004, 269, 24883, 744, 549, 345, 1723, 267, 3955, 574, 10615, 540, 519, 8433, 540, 5274, 9107, 17719, 11059, 540, 519, 4972, 540, 5398, 8232, 630, 15430, 5034, 693, 519, 5870, 4371, 593, 476, 274, 4989, 476, 1220, 279, 1040, 17948, 6881, 666, 581, 1336, 693, 281, 5291, 2517, 4178, 269, 334, 553, 3820, 11305, 3333, 270, 1263, 1501, 12458, 2975, 7246, 260, 736, 19702, 657, 269, 5684, 269, 21700, 476, 2641, 5130, 476, 1220, 280, 563, 268, 968, 21798, 320, 28573, 1848, 8092, 332, 710, 18554, 7797, 476, 1220, 275, 281, 27870, 513, 17719, 6363, 872, 2622, 269, 1715, 3840, 281, 4139, 22411, 547, 14465, 8092, 332, 1149, 269, 5291, 2517, 4178, 269, 545, 4565, 3820, 15828, 332, 270, 1220, 275, 11305, 739, 320, 318, 878, 320, 11258, 269, 21700, 476, 2641, 5130, 476, 1220, 280, 563, 268, 13482, 593, 519, 1160, 22128, 540, 519, 2422, 267, 14351, 335, 4979, 267, 13870, 543, 18734, 540, 14640, 16512, 6773, 631, 1149, 543, 593, 4256, 20121, 2315, 267, 14642, 5979, 267, 16157, 269, 476, 1240, 5181, 476, 1960, 278, 269, 634, 3561, 729, 8118, 585, 15040, 538, 31747, 267, 4516, 267, 476, 274, 5412, 476, 1960, 278, 267, 4122, 1634, 607, 519, 31747, 13482, 269, 5291, 2517, 4178, 269, 545, 4565, 3820, 14121, 805, 344, 270, 3667, 270, 1263, 1501, 269, 21700, 476, 1839, 4728, 476, 1220, 280, 563, 268, 968, 14976, 30571, 1848, 8092, 332, 710, 18554, 7797, 476, 1220, 279, 281, 27870, 513, 17719, 6363, 872, 2622, 269, 1715, 3840, 281, 4139, 22411, 547, 14465, 8092, 332, 1149, 269, 5291, 2517, 27476, 269, 545, 4565, 3820, 27651, 21703, 9706, 3016, 725, 270, 5891, 286, 14766, 284, 27476, 270, 1220, 279, 11305, 870, 1845, 270, 601, 5334, 531, 341, 11456, 11258, 269, 21700, 476, 1428, 4989, 476, 1220, 280, 563, 268, 968, 294, 10663, 7356, 320, 1848, 8092, 332, 710, 18554, 7797, 476, 1220, 272, 281, 27870, 513, 17719, 6363, 872, 2622, 269, 1715, 3840, 281, 4139, 22411, 547, 14465, 8092, 332, 1149, 269, 5291, 2517, 4178, 269, 545, 4565, 3820, 15828, 332, 270, 1220, 272, 270, 7666, 26373, 320, 28918, 21700, 476, 2641, 5130, 476, 1220, 280, 563, 268, 968, 294, 10663, 7356, 320, 1848, 8092, 332, 710, 18554, 7797, 476, 1220, 279, 281, 27870, 513, 17719, 6363, 872, 2622, 269, 1715, 3840, 281, 4139, 22411, 547, 14465, 8092, 332, 1149, 269, 5291, 2517, 4178, 269, 545, 4565, 3820, 15828, 332, 270, 1220, 279, 11305, 870, 1845, 270, 7666, 26373, 320, 21703, 269, 21700, 476, 1428, 4989, 476, 1220, 280, 454, 268, 968, 295, 1180, 32136, 1848, 8092, 332, 710, 18554, 7797, 476, 1220, 275, 281, 27870, 513, 17719, 6363, 872, 2622, 269, 1715, 3840, 281, 4139, 22411, 547, 14465, 8092, 332, 1149, 269, 5291, 2517, 4178, 269, 545, 4565, 3820, 15828, 332, 270, 1220, 275, 10774, 1180, 32136, 11258, 269, 21700, 476, 2641, 5130, 476, 1220, 280, 563, 268, 968, 295, 1180, 32136, 1848, 8092, 332, 710, 18554, 7797, 476, 1220, 279, 281, 27870, 513, 17719, 6363, 872, 2622, 269, 1715, 3840, 281, 4139, 22411, 547, 14465, 8092, 332, 1149, 269, 5291, 2517, 4178, 269, 545, 4565, 3820, 15828, 332, 270, 1220, 279, 11305, 870, 1845, 10774, 1180, 32136, 21703, 269, 21700, 476, 1428, 4989, 476, 1220, 280, 563, 268, 1323, 12150, 7708, 641, 4016, 547, 513, 25142, 538, 606, 12150, 4108, 267, 19040, 607, 1022, 1875, 268, 20598, 4108, 1770, 269, 1323, 12150, 7708, 641, 568, 513, 3376, 2165, 267, 609, 824, 4408, 1519, 267, 585, 1383, 267, 1368, 20482, 8759, 267, 1202, 4026, 550, 267, 610, 12316, 2016, 519, 12485, 543, 3804, 540, 519, 8165, 563, 268, 968, 295, 1180, 32136, 1848, 1677, 12532, 519, 3047, 538, 8881, 281, 634, 2136, 2276, 685, 8758, 618, 547, 5274, 9107, 17719, 11059, 543, 1230, 14846, 1284, 777, 976, 20121, 2315, 269, 772, 2529, 269, 4972, 540, 3557, 13163, 540, 11572, 5336, 26090, 16457, 269, 476, 278, 628, 7160, 267, 476, 1220, 279, 269, 623, 326, 269, 476, 5655, 269, 6732, 693, 281, 5291, 2517, 4178, 269, 8063, 10993, 14121, 9706, 332, 29265, 3149, 29265, 696, 11320, 531, 651, 14390, 270, 1220, 279, 28918, 21700, 476, 2641, 5130, 476, 1220, 280, 563, 268, 968, 20776, 514, 877, 1848, 8092, 332, 710, 18554, 7797, 476, 1220, 277, 281, 27870, 513, 17719, 6363, 872, 2622, 269, 1715, 3840, 281, 4139, 22411, 547, 14465, 8092, 332, 1149, 269, 5291, 2517, 339, 4176, 14766, 2593, 11305, 277, 338, 345, 274, 329, 269, 21700, 476, 1839, 4728, 476, 1220, 280, 563, 268, 968, 20776, 514, 877, 1848, 1677, 12532, 519, 3047, 538, 8881, 281, 634, 2136, 2276, 685, 8758, 618, 547, 5274, 9107, 17719, 11059, 543, 1230, 14846, 1284, 777, 976, 20121, 2315, 269, 772, 2529, 269, 4972, 540, 3557, 13163, 540, 11572, 5336, 26090, 16457, 269, 476, 278, 628, 7160, 267, 476, 1220, 279, 269, 623, 326, 269, 476, 6246, 269, 901, 8313, 666, 581, 15600, 2228, 693, 281, 5291, 2517, 4178, 269, 8063, 10993, 14121, 9706, 332, 29265, 3149, 29265, 696, 11320, 531, 651, 14390, 270, 1220, 279, 28918, 21700, 476, 2641, 5130, 476, 1220, 280, 563, 763, 4750, 540, 18317, 310, 543, 17719, 11059, 454, 300, 710, 11059, 6176, 4741, 454, 290, 10938, 585, 4139, 853, 8494, 1436, 543, 18401, 454, 22832, 23885, 2160, 0, 347, 2419, 1258, 1670, 543, 2797, 1344, 2008, 763, 30421, 526, 752, 330, 729, 513, 17254, 4842, 18682, 1304, 1480, 1355, 2713, 593, 519, 11206, 9855, 540, 7736, 528, 269, 898, 6039, 607, 519, 27369, 540, 519, 12429, 10326, 267, 519, 4102, 3529, 538, 519, 4104, 269, 634, 30421, 526, 752, 330, 781, 3169, 2450, 568, 7164, 282, 1142, 540, 922, 3946, 729, 519, 2450, 540, 513, 1762, 661, 342, 758, 267, 621, 781, 3109, 4064, 941, 519, 2450, 540, 606, 661, 342, 758, 781, 2212, 267, 543, 2576, 669, 3496, 2390, 621, 1223, 12161, 922, 7953, 585, 3529, 959, 16218, 269, 634, 30421, 526, 752, 330, 729, 4988, 538, 1279, 267, 5394, 9663, 269, 634, 13442, 5030, 538, 513, 5318, 267, 11895, 561, 1515, 25653, 856, 689, 9944, 519, 12429, 10326, 269, 4706, 561, 1515, 4951, 602, 568, 729, 267, 538, 1249, 267, 10995, 267, 609, 922, 23290, 26569, 15102, 267, 6149, 11647, 267, 543, 5127, 540, 12450, 269, 634, 13442, 530, 913, 533, 537, 2583, 543, 824, 3688, 689, 30676, 563, 2026, 519, 27369, 540, 519, 12429, 10326, 267, 519, 30421, 526, 752, 330, 729, 513, 3532, 24343, 540, 519, 661, 342, 758, 338, 269, 769, 4334, 267, 519, 24204, 3960, 4548, 543, 667, 592, 758, 338, 554, 730, 543, 21787, 519, 13442, 269, 1879, 519, 661, 342, 758, 1855, 324, 2692, 10443, 2476, 689, 24761, 10326, 22810, 547, 3406, 585, 1010, 11078, 267, 5689, 8643, 267, 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 ]
[ 2334, 779, 1759, 593, 2833, 540, 1004, 945, 723, 1031, 9436, 585, 647, 15969, 563, 4692, 9436, 1118, 596, 7210, 888, 17472, 273, 666, 2014, 16698, 540, 4064, 267, 9224, 543, 11563, 543, 950, 31067, 1522, 2014, 5761, 8886, 725, 543, 8519, 5761, 1599, 269, 769, 2127, 609, 2362, 2157, 540, 9436, 8166, 267, 513, 3152, 4960, 540, 10447, 6285, 543, 606, 2333, 538, 6413, 13978, 1317, 540, 7929, 20286, 616, 4767, 563, 2710, 4129, 946, 6986, 5135, 888, 6944, 9009, 547, 2442, 3661, 267, 1085, 18866, 4129, 1810, 1406, 1152, 13236, 5135, 14015, 269, 2991, 782, 267, 649, 1810, 1406, 13236, 6986, 5135, 1657, 1216, 2901, 269, 2560, 634, 1034, 4122, 1031, 1085, 18866, 2011, 7848, 568, 11626, 2011, 267, 799, 16881, 546, 1161, 602, 616, 1447, 982, 476, 2412, 7397, 563, 4692, 596, 13236, 476, 1911, 260, 5135, 888, 23682, 4723, 18119, 2800, 519, 9600, 267, 3940, 543, 5027, 538, 707, 1560, 269, 901, 14796, 707, 4064, 865, 596, 666, 1406, 1294, 5265, 267, 543, 707, 9641, 267, 865, 596, 666, 1406, 13236, 7363, 269, 1924, 7244, 6986, 5135, 568, 3833, 5906, 563, 4692, 5277, 9436, 6146, 596, 888, 763, 1249, 568, 5277, 9436, 568, 5906, 952, 711, 17411, 5265, 269, 898, 666, 2014, 15470, 321, 924, 610, 3956, 8328, 17236, 543, 952, 1031, 610, 838, 2683, 538, 513, 16876, 2230, 267, 5277, 9436, 1107, 799, 568, 7990, 1652, 267, 5212, 712, 1652, 543, 13820, 6804, 1107, 666, 6146, 596, 563, 4692, 519, 536, 1742, 581, 23174, 888, 3682, 3913, 2670, 269, 8056, 18957, 2126, 609, 476, 1911, 260, 5135, 267, 4553, 676, 973, 558, 16054, 538, 513, 5409, 8663, 545, 12068, 267, 786, 538, 1034, 2665, 1267, 538, 1100, 1279, 3856, 2360, 269, 1717, 267, 8628, 1279, 3856, 5945, 689, 667, 5425, 568, 2009, 563, 3963, 798, 1085, 18866, 4129, 946, 9436, 888, 301, 527, 6918, 568, 3274, 513, 3154, 7848, 602, 814, 513, 2362, 5834, 540, 5135, 543, 513, 2539, 5834, 540, 9436, 269, 1403, 513, 11651, 568, 7244, 1447, 9436, 267, 519, 4960, 540, 3384, 519, 536, 1742, 568, 7494, 4389, 269, 2560, 1879, 1210, 21193, 6918, 267, 519, 2627, 11996, 4043, 547, 581, 10156, 1317, 972, 568, 1447, 9436, 547, 6633, 1055, 563, 12663, 9436, 1205, 596, 1164, 888, 301, 527, 4088, 27640, 2670, 267, 849, 1572, 21193, 4088, 661, 25045, 18319, 267, 610, 681, 2194, 999, 2986, 634, 12213, 267, 2360, 3812, 676, 519, 3154, 9436, 950, 621, 568, 3826, 1117, 896, 2799, 2604, 269, 21193, 4088, 267, 513, 2101, 25499, 540, 2011, 267, 568, 3833, 16931, 543, 10596, 883, 519, 12862, 543, 8031, 540, 519, 1560, 1510, 18460, 3114, 1689, 563, 1432, 1058, 596, 711, 798, 1310, 1085, 18866, 11362, 888, 28830, 596, 12582, 1406, 798, 1310, 11362, 293, 569, 269, 674, 2391, 1310, 11362, 568, 513, 1134, 8153, 1981, 547, 4129, 269, 2560, 27276, 8185, 269, 1703, 1522, 581, 4986, 1732, 982, 606, 4672, 2275, 1245, 14420, 1310, 11362, 267, 855, 6704, 4568, 1310, 11362, 568, 711, 5227, 269, 2560, 1849, 12494, 513, 7823, 269, 3509, 1085, 18866, 4129, 616, 1483, 19076, 13824, 22938, 625, 543, 2648, 782, 9205, 5026, 563, 4692, 476, 1911, 2600, 5135, 6146, 596, 888, 289, 805, 3107, 476, 1911, 260, 5135, 693, 835, 5790, 786, 5555, 3441, 707, 9641, 543, 4064, 269, 22165, 3107, 476, 1911, 260, 5135, 896, 2789, 4694, 12742, 267, 607, 950, 11362, 267, 666, 2014, 3844, 8401, 1062, 12152, 832, 16425, 543, 666, 1256, 2014, 5996, 6160, 687, 269, 2560, 1924, 9811, 267, 896, 2614, 2604, 267, 6986, 5135, 666, 6146, 596, 563, 3963, 666, 1406, 4129, 979, 1932, 2620, 888, 5719, 4818, 1833, 19210, 281, 10705, 1572, 968, 1492, 536, 1742, 2223, 10920, 16054, 19210, 4523, 950, 513, 1085, 18866, 11651, 10841, 1742, 1932, 3533, 269, 667, 1392, 13236, 19316, 2011, 602, 3568, 9436, 269, 2311, 2362, 2604, 896, 1216, 267, 519, 9436, 3154, 4422, 883, 519, 1560, 779, 8031, 269, 2560, 901, 666, 2014, 5160, 543, 8229, 3441, 563, 1432, 4523, 1282, 9436, 27640, 2670, 888, 1103, 14015, 11362, 267, 27640, 2670, 630, 27848, 4088, 27640, 2670, 267, 16931, 3154, 27640, 2670, 267, 986, 696, 999, 540, 519, 2620, 267, 6742, 7236, 1198, 264, 568, 513, 31181, 1689, 538, 9637, 602, 4386, 1247, 513, 1268, 568, 11362, 693, 2620, 17909, 269, 15742, 9362, 693, 1164, 25774, 2014, 606, 606, 20469, 1198, 602, 32290, 513, 11651, 779, 9637, 269, 0, 763, 11452, 4576, 630, 26542, 268, 866, 264, 6855, 1101, 7153, 538, 18961, 7315, 5450, 24227, 267, 3624, 267, 538, 3735, 5412, 476, 1001, 280, 269, 3245, 972, 267, 621, 814, 11200, 547, 476, 4489, 3486, 6753, 543, 11182, 267, 3468, 532, 936, 476, 4649, 269, 276, 2929, 11570, 5001, 563, 763, 11944, 540, 519, 16568, 17336, 268, 273, 3644, 568, 2808, 13615, 547, 513, 5848, 2344, 538, 18961, 7315, 269, 1717, 1631, 267, 1007, 6169, 689, 7977, 1797, 602, 519, 3644, 1522, 723, 1044, 29886, 5180, 1256, 4505, 982, 5412, 476, 1001, 280, 563, 763, 7969, 13781, 540, 3744, 4362, 3665, 8650, 7929, 6794, 11452, 476, 273, 630, 306, 12678, 17336, 268, 273, 264, 12489, 538, 11570, 2429, 513, 1297, 540, 7969, 2127, 1259, 1394, 547, 5181, 476, 1001, 280, 563, 1607, 4983, 267, 9102, 1369, 519, 570, 636, 9461, 4750, 267, 24259, 9543, 593, 519, 10171, 602, 519, 3644, 1185, 1044, 10825, 538, 7977, 23182, 4505, 982, 519, 12176, 729, 18005, 4080, 538, 18961, 7315, 267, 3624, 563, 2005, 3315, 779, 1101, 4080, 6381, 454, 2005, 3315, 4080, 922, 1101, 6381, 540, 5046, 268, 866, 950, 1079, 16314, 619, 689, 3624, 8947, 16268, 585, 16568, 17336, 268, 273, 538, 7507, 269, 634, 3119, 8047, 18101, 3305, 539, 7969, 5046, 268, 866, 2013, 729, 9571, 538, 700, 4861, 731, 344, 593, 5988, 476, 736, 267, 476, 1708, 271, 269, 634, 5256, 24412, 1185, 1100, 3140, 2250, 540, 1761, 17066, 609, 16268, 6381, 538, 7977, 610, 18246, 563, 11900, 728, 513, 7008, 540, 2395, 267, 3063, 6381, 723, 1044, 6592, 1369, 519, 2230, 269, 16797, 569, 267, 519, 5313, 2229, 13684, 513, 27579, 1369, 519, 4182, 547, 1331, 519, 3644, 11200, 563, 2005, 779, 14916, 5156, 602, 519, 3644, 1185, 1044, 21883, 538, 7977, 2094, 5130, 476, 1708, 271, 269, 11048, 267, 519, 3728, 11200, 540, 519, 3644, 267, 519, 7372, 3099, 540, 11570, 8506, 30674, 267, 543, 3797, 538, 14021, 1416, 3688, 4363, 602, 519, 3644, 779, 12625, 538, 513, 1454, 1447, 31916, 2186, 1522, 581, 513, 1297, 540, 3275, 1991, 563, 10000, 547, 1631, 267, 7977, 814, 936, 476, 272, 269, 2537, 2929, 6381, 543, 513, 31417, 476, 5379, 267, 275, 5038, 7972, 563, 32513, 11043, 11400, 610, 29508, 2268, 519, 17193, 3210, 538, 606, 1367, 269, 25095, 3672, 547, 5046, 268, 866, 616, 3812, 936, 2395, 547, 4374, 1310, 606, 3968, 563, 763, 4527, 540, 12489, 15225, 602, 606, 1367, 814, 1044, 13572, 609, 16568, 17336, 268, 273, 267, 7488, 540, 2436, 610, 711, 646, 1185, 3665, 610, 9543, 4576, 269, 634, 1491, 513, 1413, 693, 949, 3713, 1346, 602, 1185, 606, 28105, 606, 3968, 563, 12901, 328, 4149, 12678, 17336, 268, 273, 17193, 3210, 9382, 538, 24412, 609, 5046, 268, 866, 9672, 602, 3330, 476, 1724, 2395, 1310, 519, 12614, 540, 4191, 267, 1583, 27019, 11437, 540, 27179, 6375, 15644, 6081, 717, 630, 296, 326, 294, 264, 610, 6375, 15644, 6081, 631, 630, 296, 326, 300, 264, 729, 1699, 538, 12303, 476, 1911, 533, 6983, 540, 24412, 563, 2414, 3914, 593, 519, 4983, 4681, 267, 519, 2079, 13781, 11567, 519, 4908, 267, 12557, 267, 543, 13664, 3892, 540, 16568, 17336, 268, 273, 32398, 538, 513, 5311, 540, 476, 4817, 280, 28105, 1004, 267, 9001, 16568, 17336, 268, 273, 11006, 543, 9243, 1944, 12489, 593, 519, 11919, 5439, 23789, 563, 4322, 1004, 723, 1044, 7620, 19801, 538, 513, 1761, 5761, 1034, 11871, 9584, 4693, 1063, 5181, 476, 1001, 280, 543, 4728, 476, 1708, 271, 547, 10250, 519, 4266, 540, 12614, 267, 4908, 267, 543, 13796, 543, 13664, 7648, 538, 5761, 1034, 11871, 2429, 519, 7969, 2127, 563, 763, 4983, 4681, 454, 763, 3173, 5645, 856, 13805, 1532, 4193, 1858, 630, 305, 9720, 9984, 14588, 6900, 11747, 30499, 6375, 657, 12643, 550, 22368, 630, 5085, 26721, 264, 4152, 269, 2986, 519, 476, 4817, 280, 11919, 5439, 267, 476, 9340, 9672, 16568, 17336, 268, 273, 681, 9720, 10391, 12489, 630, 296, 326, 300, 267, 16384, 294, 267, 610, 1142, 1040, 3487, 21871, 267, 789, 9571, 16384, 300, 12489, 538, 476, 9032, 5439, 543, 16384, 294, 12489, 538, 476, 1626, 5439, 269, 2353, 519, 24412, 1185, 1100, 4191, 593, 519, 942, 1973, 5439, 723, 1044, 6394, 563, 20751, 519, 1101, 1079, 3275, 540, 519, 4983, 267, 519, 3173, 7000, 602, 476, 1691, 269, 273, 533, 6983, 540, 519, 24412, 538, 5181, 543, 476, 1626, 269, 22764, 533, 6983, 538, 5239, 17820, 16568, 17336, 268, 273, 16384, 294, 610, 16384, 300, 12489, 267, 610, 1142, 269, 634, 13781, 4362, 519, 3119, 16268, 2013, 630, 296, 326, 300, 25698, 264, 593, 5181, 1614, 1369, 519, 10469, 16587, 9351, 267, 7550, 676, 835, 2013, 538, 2506, 23158, 7931, 1725, 320, 593, 5181, 476, 275, 267, 700, 580, 22202, 593, 5181, 476, 276, 267, 543, 835, 538, 32303, 1470, 593, 5181, 476, 1556, 563, 3528, 519, 1283, 540, 5181, 267, 476, 1724, 540, 519, 476, 2537, 16268, 5439, 723, 1044, 9571, 538, 700, 4861, 731, 344, 267, 7977, 779, 23698, 3620, 527, 1858, 269, 634, 13781, 10123, 9571, 1614, 6381, 538, 10469, 16587, 267, 1079, 538, 623, 1221, 23992, 267, 543, 835, 538, 700, 580, 22202, 267, 2506, 23158, 7931, 1725, 320, 267, 8805, 16492, 267, 32303, 1470, 267, 543, 674, 745, 8270, 563, 21206, 6268, 9672, 1079, 15627, 540, 25273, 585, 4550, 4149, 12678, 17336, 268, 273, 681, 9720, 12489, 269, 634, 3119, 835, 3323, 593, 519, 9096, 540, 5181, 267, 8757, 476, 1240, 533, 6983, 1369, 519, 3791, 3018, 540, 5239, 269, 634, 2034, 7018, 538, 5988, 476, 1708, 271, 267, 609, 513, 8445, 540, 3152, 982, 476, 1789, 533, 6983, 540, 16384, 300, 25698, 6381, 1369, 519, 2034, 3018, 563, 2108, 5978, 4093, 1448, 856, 602, 16568, 17336, 268, 273, 6933, 730, 538, 7977, 19692, 982, 519, 3119, 4013, 5046, 268, 866, 6381, 723, 1044, 4857, 538, 700, 4861, 731, 344, 267, 1256, 17890, 4505, 982, 519, 3119, 4013, 2090, 689, 519, 4457, 1893, 8128, 267, 16213, 1007, 9543, 593, 519, 12614, 543, 11200, 540, 519, 5046, 268, 866, 6855, 2223, 519, 3173, 9959, 269, 0, 2005, 781, 7543, 547, 3589, 875, 707, 5092, 568, 2469, 547, 979, 267, 950, 621, 786, 2628, 1055, 610, 952, 621, 786, 693, 782, 269, 1809, 602, 781, 2760, 11074, 4896, 689, 3843, 563, 1692, 798, 596, 7654, 3589, 875, 1454, 2724, 596, 1223, 1118, 689, 606, 5092, 286, 2290, 1761, 1259, 568, 547, 1413, 693, 519, 1719, 3928, 593, 2009, 9541, 269, 634, 1966, 568, 602, 12719, 7623, 1719, 666, 1205, 513, 2370, 7294, 267, 2523, 952, 596, 1810, 1405, 723, 513, 9498, 13561, 563, 6546, 781, 1946, 519, 834, 22364, 540, 476, 7761, 257, 6818, 269, 1924, 596, 666, 1205, 513, 2631, 540, 875, 1719, 666, 1404, 856, 593, 606, 5092, 936, 942, 538, 513, 32521, 269, 898, 781, 513, 5363, 30246, 602, 814, 1044, 1031, 585, 1296, 563, 2080, 781, 1018, 596, 991, 547, 917, 827, 621, 563, 1432, 1772, 519, 14329, 540, 476, 7761, 888, 763, 4341, 540, 476, 7761, 568, 513, 4542, 602, 13071, 596, 1205, 513, 2673, 19406, 540, 875, 1279, 621, 1131, 1491, 585, 606, 5092, 547, 5595, 6236, 922, 1305, 2557, 540, 2132, 267, 606, 16759, 602, 2188, 7623, 1719, 538, 1510, 8506, 596, 547, 798, 519, 811, 1950, 2979, 2838, 538, 12719, 7623, 1719, 563, 8794, 519, 4341, 540, 476, 7761, 2636, 596, 547, 723, 513, 4396, 2856, 540, 950, 707, 5092, 1131, 5595, 1175, 689, 519, 5092, 2557, 269, 15020, 10375, 569, 267, 519, 1297, 476, 7761, 17337, 2973, 569, 883, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 277, 267, 476, 279, 267, 476, 280, 543, 476, 1321, 267, 3850, 585, 513, 2656, 543, 2241, 6498, 1966, 3079, 540, 707, 8912, 7623, 1719, 1966, 563, 13528, 3121, 543, 7151, 454, 10303, 6378, 1719, 3928, 616, 1034, 1419, 2944, 538, 5993, 1213, 906, 267, 649, 786, 946, 519, 1739, 4542, 547, 2491, 519, 4341, 540, 476, 7761, 912, 312 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 17323, 2069, 568, 513, 2565, 5057, 540, 1514, 2257, 2069, 267, 3246, 1053, 609, 513, 3102, 1620, 540, 519, 1158, 1472, 873, 269, 2311, 922, 4295, 267, 11585, 11394, 547, 2263, 519, 8901, 3347, 1063, 1004, 267, 4025, 267, 543, 5054, 269, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 1898, 2609, 540, 2500, 11585, 2069, 267, 5373, 4296, 547, 4207, 2152, 267, 1483, 8996, 1806, 267, 543, 5969, 12967, 1382, 269, 3776, 3804, 568, 547, 16491, 2104, 7855, 899, 596, 609, 519, 1702, 267, 1983, 267, 543, 5380, 2556, 547, 8300, 543, 4497, 6267, 538, 519, 1353, 540, 11585, 780, 272, 269, 634, 7186, 543, 11957, 540, 17323, 4065, 692, 2414, 2253, 267, 621, 781, 1271, 547, 1174, 1946, 11585, 6927, 538, 2221, 781, 10562, 267, 6385, 4657, 1158, 269, 17323, 2337, 721, 1118, 2631, 540, 1950, 2518, 2591, 971, 607, 2916, 1689, 267, 20012, 267, 9194, 267, 543, 4199, 22930, 676, 5807, 8901, 3206, 543, 7924, 269, 1635, 6313, 875, 1480, 7239, 2170, 609, 2067, 1949, 2066, 1585, 10253, 267, 2520, 20802, 3565, 3407, 4030, 547, 3609, 9840, 267, 4264, 1646, 3646, 267, 543, 1857, 11407, 269, 1306, 7855, 267, 10128, 891, 4798, 883, 938, 13460, 6087, 1053, 547, 1831, 5483, 267, 3743, 4961, 945, 666, 6330, 606, 5051, 3309, 543, 22524, 8817, 4541, 780, 273, 269, 4400, 10866, 9752, 538, 17323, 4065, 692, 19931, 11585, 6044, 31963, 2390, 1896, 1883, 3741, 269, 3689, 267, 3610, 1058, 11441, 547, 1711, 2502, 267, 7317, 4245, 602, 3895, 14374, 2861, 1565, 269, 901, 1522, 4125, 1210, 7851, 267, 5895, 525, 267, 9682, 11052, 267, 610, 824, 3308, 2645, 547, 948, 1053, 9787, 7493, 2035, 543, 5659, 8901, 3270, 269, 3958, 267, 6220, 3946, 6823, 2238, 267, 2013, 2090, 267, 543, 2361, 1740, 2636, 6267, 547, 4019, 7811, 1702, 547, 4052, 3871, 267, 29947, 741, 1620, 540, 10923, 3157, 543, 9259, 269, 7053, 267, 1114, 11868, 6044, 1759, 593, 2875, 2115, 543, 5759, 5849, 602, 782, 6267, 723, 3255, 547, 8011, 543, 1332, 27268, 780, 274, 269, 15099, 5071, 543, 4886, 692, 2691, 8888, 513, 11585, 6437, 267, 2015, 26936, 621, 609, 3084, 4441, 543, 10850, 1247, 6028, 4055, 585, 2199, 9542, 543, 29356, 269, 589, 1134, 2275, 2761, 539, 6437, 1058, 2232, 1312, 23610, 630, 324, 3052, 1421, 2168, 2934, 267, 2686, 2853, 264, 543, 12497, 1702, 630, 324, 3052, 1421, 4336, 267, 8901, 5872, 1070, 10771, 2362, 19195, 3206, 1983, 971, 607, 2079, 267, 10282, 267, 543, 6268, 269, 5015, 267, 10128, 4143, 267, 909, 3562, 15082, 1543, 10452, 1699, 2621, 543, 6932, 3466, 8952, 1053, 7722, 543, 12592, 547, 1451, 269, 1280, 3236, 267, 3695, 3584, 899, 5100, 4872, 267, 7791, 1648, 267, 610, 23786, 8755, 9557, 666, 8141, 6209, 5717, 827, 6940, 267, 5647, 267, 543, 2518, 9316, 780, 275, 269, 10495, 543, 16214, 11150, 692, 10112, 31757, 2875, 1565, 538, 11585, 3322, 811, 982, 3274, 28720, 2789, 31547, 4255, 610, 17118, 269, 5502, 267, 2308, 513, 3099, 540, 24233, 543, 14805, 894, 4879, 2409, 602, 7148, 883, 3309, 4111, 1878, 543, 1565, 6163, 269, 6201, 1331, 5711, 14245, 267, 2854, 18759, 267, 22944, 11837, 3785, 267, 10319, 1966, 9010, 4247, 267, 543, 2773, 2861, 10526, 269, 8617, 5955, 17787, 5512, 3610, 547, 6895, 2875, 3356, 267, 2697, 10616, 538, 1620, 267, 543, 4188, 6044, 9935, 269, 5047, 267, 5473, 1053, 538, 1582, 12431, 20156, 543, 9263, 2689, 3157, 11942, 1558, 659, 4321, 4656, 543, 7512, 2123, 2208, 780, 276, 269, 595, 831, 532, 547, 667, 5744, 22996, 281, 32213, 17323, 19019, 692, 2304, 8537, 1935, 547, 11585, 2069, 26342, 543, 22842, 4763, 267, 4180, 602, 782, 1053, 1745, 12595, 543, 15197, 7488, 540, 4282, 267, 2702, 1377, 267, 610, 10409, 15334, 269, 2290, 4640, 585, 8236, 713, 568, 17629, 5071, 585, 4804, 630, 11070, 299, 1070, 799, 14122, 30082, 4058, 4245, 602, 13918, 9867, 1565, 7375, 267, 9342, 267, 543, 2115, 269, 1280, 1383, 267, 5356, 1617, 574, 27567, 2200, 630, 3667, 267, 8301, 267, 3381, 1070, 21934, 13783, 1950, 4247, 267, 543, 3246, 8465, 21852, 666, 948, 4894, 7496, 547, 1569, 543, 6278, 269, 6271, 2629, 2460, 540, 13784, 6013, 538, 5466, 11528, 12886, 1369, 13664, 21195, 267, 3226, 1346, 1644, 547, 5198, 267, 4008, 267, 14940, 267, 543, 14227, 4567, 269, 1635, 9691, 6313, 543, 2699, 7675, 891, 20817, 267, 7855, 666, 11349, 513, 811, 12581, 267, 1175, 1565, 1604, 780, 277, 269, 18270, 908, 19793, 557, 906, 538, 17323, 4065, 692, 7661, 267, 9301, 543, 14785, 2875, 1967, 538, 11585, 5713, 1896, 5301, 269, 3689, 267, 621, 25040, 2318, 5615, 543, 8456, 4724, 1565, 267, 8716, 17271, 8404, 543, 16177, 269, 5822, 267, 14120, 18517, 15597, 3413, 8787, 1367, 15421, 543, 7418, 267, 29103, 1359, 1582, 12635, 543, 3961, 5250, 269, 14936, 267, 15386, 32055, 960, 31168, 7279, 1851, 9905, 267, 5732, 11121, 2417, 3408, 543, 6602, 269, 14313, 585, 6284, 1522, 7854, 22783, 267, 3983, 2471, 267, 8956, 20061, 267, 610, 2027, 2621, 1141, 1053, 666, 2671, 741, 10781, 609, 1920, 2818, 267, 2146, 4891, 267, 610, 2872, 4648, 780, 1103, 3932, 267, 11585, 2069, 4564, 513, 4105, 28627, 585, 14637, 22883, 6053, 3222, 267, 11451, 2247, 539, 4961, 9280, 547, 10994, 10296, 6848, 2591, 269, 3414, 18532, 6437, 1374, 267, 5499, 15338, 690, 625, 267, 11826, 4879, 2853, 267, 543, 26772, 7029, 547, 10014, 267, 7855, 1404, 513, 11358, 1909, 538, 5935, 519, 1985, 5108, 540, 17024, 267, 3401, 267, 543, 1689, 16234, 269, 22737, 713, 4316, 2898, 27329, 569, 267, 6616, 602, 707, 3646, 786, 26871, 828, 622, 2484, 3564, 519, 32604, 540, 519, 4928, 267, 6038, 7700, 547, 513, 811, 17519, 267, 4448, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 713, 3296, 596, 786, 1265, 1344, 593, 519, 1292, 1641, 2127, 267, 9740, 585, 782, 267, 543, 6780, 563, 2791, 666, 849, 4945, 593, 519, 1739, 3095, 547, 2070, 938, 3506, 22647, 4804, 1344, 3248, 763, 9740, 540, 782, 10453, 568, 3844, 547, 938, 1153, 269, 1677, 5150, 707, 1126, 779, 3356, 649, 960, 2182, 547, 1683, 1164, 2298, 3450, 543, 513, 6437, 799, 26182, 543, 4665, 919, 1565, 563, 3528, 2870, 513, 2528, 538, 799, 1453, 1745, 12595, 543, 616, 16614, 540, 1866, 789, 616, 2111, 547, 1491, 5539, 585, 741, 1565, 563, 763, 10781, 540, 938, 1453, 616, 9976, 998, 4928, 12587, 267, 12353, 11812, 32234, 543, 1032, 1895, 32234, 547, 799, 3885, 616, 14376, 563, 288, 2151, 22777, 585, 782, 454, 2171, 960, 547, 2327, 602, 782, 1453, 616, 2016, 519, 1983, 543, 6015, 547, 3035, 741, 1761, 269, 1284, 21028, 602, 930, 1453, 723, 3606, 3872, 2115, 563, 2026, 606, 8537, 1153, 267, 782, 1453, 616, 524, 23926, 585, 269, 32167, 2812, 609, 11108, 2702, 538, 835, 610, 811, 2127, 540, 519, 6437, 616, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10481, 2762, 4065, 257, 607, 851, 540, 834, 3633, 24102, 1315, 9752, 1315, 23527, 1315, 4317, 3163, 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, 2878, 16215, 7170, 281, 10289, 7186, 3414, 8479, 16989, 27140, 4373, 8702, 547, 713, 3078, 1770, 1141, 649, 786, 4685, 883, 519, 8748, 1158, 540, 1762, 2937, 15923, 676, 3695, 519, 1568, 540, 12021, 2278, 267, 3879, 15249, 267, 543, 9375, 14639, 30621, 3650, 6723, 256, 4173, 2835, 616, 4904, 609, 9159, 2984, 827, 519, 2067, 1158, 602, 786, 8141, 707, 7279, 543, 8300, 596, 547, 1589, 9691, 827, 938, 2078, 609, 2470, 780, 8893, 476, 272, 281, 24531, 14639, 30621, 3650, 6723, 781, 32425, 585, 7186, 692, 297, 6756, 30621, 3650, 6723, 814, 2854, 811, 982, 835, 4627, 2835, 10704, 1472, 519, 6249, 540, 519, 2067, 1158, 543, 1480, 4205, 1369, 621, 269, 2701, 11099, 602, 1620, 543, 19825, 2470, 666, 10802, 938, 2729, 269, 10801, 1200, 4876, 267, 1352, 2813, 12667, 2592, 540, 2831, 267, 2371, 267, 543, 8916, 267, 1818, 3988, 1745, 899, 789, 616, 5963, 851, 540, 891, 5468, 269, 901, 4276, 7512, 721, 547, 1831, 3743, 12403, 1841, 540, 938, 4541, 780, 7078, 281, 5994, 2542, 513, 1650, 1305, 2620, 3330, 513, 18932, 4104, 31523, 609, 7320, 269, 1411, 1451, 875, 1142, 13442, 12346, 593, 835, 1776, 543, 519, 2956, 540, 1169, 2030, 543, 3662, 538, 4509, 3666, 269, 1306, 596, 1224, 267, 596, 1376, 547, 1416, 7184, 827, 1018, 4523, 547, 891, 3197, 543, 741, 7226, 269, 2334, 3929, 6278, 11942, 2825, 4656, 543, 5539, 780, 8893, 476, 273, 281, 17291, 6206, 15689, 540, 11879, 15154, 543, 9012, 17402, 692, 2026, 596, 2263, 14639, 30621, 3650, 6723, 781, 960, 267, 1832, 538, 2247, 1079, 1898, 2035, 1107, 2565, 3206, 543, 2923, 7924, 269, 1452, 1983, 948, 721, 5659, 1585, 3029, 540, 2923, 267, 1519, 3332, 267, 543, 1106, 15826, 8369, 1759, 593, 2963, 780, 265, 11879, 3206, 3322, 15819, 267, 7421, 267, 10442, 267, 543, 8108, 2601, 539, 21520, 827, 1344, 4843, 547, 721, 269, 1635, 6313, 1114, 5380, 267, 649, 1020, 513, 4514, 1620, 540, 3584, 543, 1628, 1966, 9010, 5759, 563, 453, 266, 7151, 281, 6333, 875, 3425, 1764, 519, 9249, 4330, 538, 6723, 781, 9089, 269, 1548, 2963, 1281, 1352, 1683, 286, 1215, 798, 1200, 7440, 5447, 609, 824, 2959, 7234, 2147, 2152, 888, 265, 9012, 7924, 4016, 547, 519, 2702, 547, 1569, 267, 1174, 267, 6218, 267, 1711, 267, 543, 5968, 1210, 1585, 2010, 540, 2923, 3927, 269, 9861, 2923, 2148, 622, 1797, 1373, 2111, 547, 6330, 1950, 6835, 543, 20559, 5168, 995, 1344, 689, 25749, 563, 453, 266, 7151, 281, 21302, 11147, 610, 12400, 18913, 6723, 781, 5931, 269, 3657, 789, 23610, 11269, 540, 519, 5054, 13269, 286, 2107, 616, 972, 7499, 23118, 3144, 547, 3986, 519, 9423, 1995, 2496, 8893, 476, 274, 281, 24167, 7756, 2637, 637, 10738, 14639, 30621, 3650, 6723, 781, 4518, 692, 9961, 1200, 4876, 267, 14639, 30621, 3650, 6723, 5206, 1082, 11964, 267, 971, 607, 1384, 265, 11470, 281, 12267, 5473, 16494, 2621, 543, 3197, 855, 1869, 12082, 538, 4641, 563, 453, 266, 7151, 281, 7325, 773, 540, 519, 654, 11510, 2934, 513, 1762, 8004, 17005, 4805, 538, 519, 1325, 2532, 534, 19069, 1247, 1565, 689, 20384, 563, 265, 27140, 281, 6936, 6589, 5059, 593, 1483, 1004, 267, 4025, 267, 543, 2621, 563, 453, 266, 7151, 281, 2290, 3296, 540, 3733, 17121, 540, 519, 13738, 6257, 4890, 6668, 2553, 1031, 676, 1004, 2713, 1055, 519, 7470, 563, 265, 13648, 9248, 281, 7734, 5627, 10346, 543, 5986, 5528, 563, 453, 266, 7151, 281, 7982, 12881, 4446, 2041, 4302, 3883, 8843, 17705, 7594, 2093, 6273, 676, 2199, 5820, 1336, 538, 2470, 563, 265, 20929, 281, 19019, 531, 8261, 338, 3246, 4388, 543, 5796, 593, 1808, 5396, 563, 453, 266, 7151, 281, 17451, 4898, 875, 547, 2697, 1114, 3529, 2249, 1282, 513, 30382, 286, 6733, 1100, 2417, 982, 634, 8866, 262, 6651, 547, 10326, 17346, 1299, 13812, 563, 265, 32532, 2762, 281, 589, 2123, 2272, 540, 606, 1367, 781, 1272, 2854, 676, 602, 1268, 563, 453, 266, 7151, 281, 17714, 769, 1189, 8761, 3877, 827, 6723, 781, 6689, 2833, 543, 7506, 3297, 1200, 4583, 1568, 780, 3528, 18167, 883, 3309, 11964, 267, 14639, 30621, 3650, 6723, 9727, 602, 1565, 827, 2470, 666, 1491, 1747, 998, 1585, 12043, 269, 3962, 9135, 3091, 2189, 3255, 585, 3408, 267, 8716, 3988, 547, 4497, 609, 519, 1570, 21176, 780, 8893, 476, 275, 281, 16792, 11879, 15154, 10341, 1879, 7335, 14639, 30621, 3650, 6723, 781, 3718, 692, 2414, 4019, 2565, 3206, 950, 11981, 14639, 30621, 3650, 6723, 781, 2835, 267, 2015, 6998, 3054, 2055, 971, 607, 1384, 272, 269, 1548, 4798, 610, 3844, 2093, 1281, 713, 1433, 6655, 3823, 2470, 543, 8103, 781, 1909, 1369, 621, 888, 273, 269, 6496, 519, 2278, 946, 1022, 5339, 3457, 630, 7945, 607, 23199, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 3054, 607, 972, 568, 513, 3152, 1981, 540, 1373, 14616, 269, 1403, 707, 3032, 4523, 547, 1205, 883, 519, 554, 832, 546, 262, 4141, 12320, 637, 267, 917, 519, 1697, 2553, 585, 28876, 707, 6539, 1084, 563, 32451, 1454, 540, 4376, 454, 28074, 899, 3425, 267, 1932, 1454, 540, 4376, 4465, 1405, 581, 1434, 585, 707, 3032, 610, 2915, 269, 9741, 16919, 540, 1480, 1426, 1223, 2014, 7181, 24074, 267, 13165, 543, 1256, 20633, 4345, 538, 707, 4620, 269, 8921, 267, 1265, 856, 519, 476, 2004, 11580, 707, 4620, 6499, 596, 547, 917, 269, 0, 10666, 519, 6092, 454, 7034, 322, 630, 295, 976, 264, 12655, 5253, 13870, 1299, 8092, 2422, 568, 606, 4294, 7350, 4110, 602, 15109, 875, 2244, 946, 2853, 666, 948, 547, 10994, 2221, 779, 2565, 2591, 540, 2916, 1689, 267, 9265, 543, 1426, 3354, 563, 13070, 3472, 675, 543, 2244, 946, 616, 1713, 2959, 540, 519, 8511, 3154, 630, 21203, 294, 264, 5434, 602, 2014, 2916, 1689, 267, 543, 519, 7379, 6717, 814, 1572, 585, 4028, 543, 8101, 20214, 538, 23435, 294, 689, 782, 9922, 267, 1519, 6683, 267, 952, 2518, 8337, 568, 547, 581, 6854, 2630, 476, 272, 269, 276, 9180, 269, 901, 786, 2154, 513, 2101, 5912, 538, 938, 6694, 543, 1426, 2504, 1949, 563, 7034, 322, 630, 295, 976, 264, 12655, 5253, 13870, 1299, 8092, 2422, 568, 2966, 547, 16491, 20021, 609, 1702, 267, 1983, 543, 1620, 540, 4264, 543, 3608, 6694, 1949, 602, 1683, 519, 3395, 2551, 609, 1426, 267, 18465, 20094, 543, 6915, 24479, 267, 15029, 4543, 547, 8396, 2916, 1689, 267, 3986, 9265, 267, 543, 6922, 1047, 5533, 563, 763, 6437, 9356, 519, 7840, 540, 519, 5177, 9730, 593, 8693, 7827, 538, 741, 476, 1001, 279, 1867, 2048, 27455, 2422, 281, 26805, 5434, 543, 8600, 585, 2916, 1689, 9957, 1452, 1331, 2799, 7693, 7607, 267, 4389, 1426, 729, 5653, 543, 513, 5786, 538, 2244, 1031, 585, 26377, 543, 13184, 2504, 269, 6270, 3800, 1131, 5305, 2244, 585, 26216, 543, 3574, 4133, 543, 585, 519, 4264, 2504, 540, 13947, 585, 1979, 648, 325, 1456, 543, 513, 6917, 6915, 324, 1595, 344, 267, 547, 711, 1152, 2569, 16126, 593, 8093, 10173, 267, 855, 849, 547, 15558, 519, 2804, 543, 1514, 5222, 540, 4227, 13184, 2504, 269, 2368, 2244, 5950, 689, 6694, 2504, 1223, 849, 581, 7307, 585, 3327, 3524, 652, 1674, 552, 3052, 269, 676, 519, 11808, 540, 24435, 4133, 267, 543, 519, 11865, 540, 824, 5117, 2533, 552, 3052, 269, 1216, 6952, 618, 2359, 543, 4509, 9249, 585, 9265, 269, 1452, 2152, 616, 782, 8268, 538, 519, 12655, 5253, 13870, 1299, 8092, 2422, 4110, 563, 5522, 1218, 723, 513, 4105, 1909, 538, 9427, 3327, 8166, 689, 519, 5790, 547, 5352, 519, 13947, 543, 1648, 602, 11479, 782, 6694, 543, 2067, 8134, 267, 865, 2030, 2257, 568, 606, 1271, 851, 540, 519, 6437, 269, 4841, 786, 8495, 519, 5767, 4485, 547, 2087, 519, 9422, 1871, 543, 11729, 540, 7031, 543, 547, 1118, 873, 811, 11259, 547, 10860, 543, 3676, 543, 811, 14388, 547, 2825, 17613, 543, 2916, 1689, 269, 1358, 786, 849, 1265, 856, 827, 4244, 267, 811, 4264, 3662, 2504, 1949, 267, 543, 519, 5610, 540, 13184, 883, 27442, 1076, 32186, 543, 29436, 1150, 2722, 1949, 269, 5253, 1587, 10124, 689, 7786, 610, 689, 519, 2528, 540, 3662, 2281, 610, 17973, 786, 849, 581, 2808, 269, 1924, 2812, 723, 519, 1761, 547, 4558, 1804, 5666, 540, 3327, 267, 1327, 6362, 621, 856, 540, 519, 5790, 267, 865, 1053, 786, 849, 1451, 875, 11934, 666, 581, 1732, 7307, 547, 2087, 12680, 543, 3327, 3524, 652, 1674, 267, 15029, 4227, 3037, 11761, 267, 12159, 543, 9390, 2305, 269, 1358, 786, 849, 581, 5189, 547, 26216, 543, 28816, 1949, 543, 547, 519, 5108, 540, 2244, 2861, 7791, 1648, 269, 2311, 606, 4359, 1377, 540, 519, 4110, 267, 519, 5767, 4066, 585, 1979, 648, 325, 1456, 543, 18465, 6055, 5478, 786, 849, 581, 11567, 563, 17345, 30991, 281, 645, 9928, 476, 274, 1296, 267, 645, 9928, 263, 295, 976, 264, 476, 275, 1296, 952, 6594, 2407, 6066, 454, 763, 12655, 5253, 13870, 1299, 8092, 2422, 645, 9928, 270, 7034, 322, 630, 295, 976, 264, 4110, 568, 13752, 676, 519, 2160, 540, 29161, 563, 265, 1576, 1641, 547, 556, 1998, 9179, 454, 14737, 3065, 7127, 10421, 281, 476, 275, 13677, 11612, 1667, 630, 289, 6195, 290, 264, 610, 476, 274, 589, 30071, 12069, 630, 6195, 290, 264, 610, 6697, 267, 547, 1331, 513, 2257, 1641, 610, 11585, 269, 2296, 610, 13174, 616, 2838, 693, 9208, 6103, 27798, 17698, 1377, 610, 6697, 269, 7248, 1218, 609, 715, 304, 645, 3930, 7220, 610, 824, 7457, 20340, 616, 9415, 547, 4019, 269, 631, 1155, 1303, 7847, 609, 606, 1719, 543, 7287, 538, 519, 1641, 616, 9415, 547, 1865, 3498, 563, 763, 1101, 1032, 2488, 606, 4367, 547, 519, 3741, 540, 1591, 7350, 267, 1979, 17190, 267, 1979, 17190, 267, 8762, 5735, 267, 11976, 267, 24684, 267, 2030, 17550, 267, 11934, 267, 2244, 946, 267, 7693, 543, 13184, 2504, 267, 14498, 267, 8134, 543, 2825, 2152, 269, 4841, 849, 2744, 2404, 8047, 543, 4052, 1983, 563, 1103, 519, 2034, 1032, 1053, 4019, 891, 3741, 547, 519, 2244, 2861, 5823, 267, 609, 519, 1739, 476, 279, 13838, 281, 17449, 2553, 543, 1382, 7634, 282, 5253, 2504, 1949, 282, 3397, 549, 1815, 4722, 338, 281, 1648, 543, 1604, 282, 30495, 17550, 543, 4027, 282, 14606, 3327, 543, 12680, 282, 32645, 543, 28816, 1949, 282, 8092, 2861, 7791, 1648, 1949, 543, 4985, 547, 1870, 1983, 1299, 1239, 2359, 563, 23612, 1032, 13838, 616, 811, 4359, 543, 2027, 2213, 267, 12077, 281, 11627, 725, 538, 1426, 2504, 1949, 282, 30495, 10307, 267, 7607, 1299, 6043, 282, 3397, 25348, 282, 25790, 538, 1426, 3106, 267, 4859, 543, 3761, 3248, 27807, 637, 1545, 585, 513, 1970, 28003, 6915, 3887, 1595, 344, 282, 16581, 3609, 2079, 282, 5004, 267, 5647, 543, 20835, 607, 1134, 607, 3194, 1983, 543, 1239, 2079, 563, 763, 8772, 1032, 2882, 519, 17784, 5491, 12968, 2293, 1382, 1788, 267, 538, 799, 1053, 8495, 513, 4143, 1888, 540, 741, 1378, 3903, 269, 769, 1840, 267, 1053, 1491, 519, 1739, 4295, 13838, 281, 11982, 267, 1604, 1299, 2486, 282, 11628, 989, 25348, 282, 30495, 9960, 543, 24684, 543, 4437, 648, 325, 1456, 4066, 269, 4841, 849, 3442, 835, 540, 519, 1739, 1528, 633, 13838, 281, 5253, 24684, 610, 12124, 6683, 269, 17968, 267, 835, 1528, 633, 666, 581, 5697, 689, 1296, 476, 274, 610, 476, 275, 540, 824, 22804, 10813, 15961, 267, 1641, 547, 13170, 543, 4626, 564, 1963, 267, 971, 607, 835, 540, 519, 1739, 13838, 281, 8693, 1689, 543, 519, 2518, 1604, 282, 21091, 6952, 618, 2359, 282, 8092, 543, 7226, 11808, 282, 22944, 543, 6552, 15392, 282, 5564, 760, 17123, 28816, 2359, 282, 11059, 585, 9265, 610, 13812, 543, 4199, 2359, 7526, 269, 0, 2710, 7493, 2165, 1957, 454, 31917, 2542, 256, 26419, 5363, 607, 594, 5965, 547, 2328, 519, 4367, 547, 1250, 12031, 269, 11289, 596, 2037, 6210, 9142, 269, 901, 5795, 803, 811, 1469, 4466, 519, 4773, 540, 798, 7493, 2165, 1957, 1382, 2376, 1373, 1031, 585, 513, 16472, 1957, 538, 8808, 1153, 256, 634, 4808, 723, 2731, 19443, 803, 609, 1250, 7084, 593, 1603, 4661, 1557, 593, 1514, 2923, 269, 634, 3017, 1063, 519, 7493, 543, 4367, 568, 3833, 2312, 1631, 585, 803, 547, 1376, 1250, 1557, 2507, 628, 1678, 596, 865, 1454, 2507, 563, 26594, 4388, 547, 3503, 606, 3573, 1382, 7433, 17593, 769, 634, 22043, 2494, 1676, 910, 595, 7246, 2562, 23859, 454, 5226, 924, 5363, 256, 1306, 513, 2875, 267, 713, 3896, 814, 5280, 803, 7494, 547, 1174, 875, 547, 18005, 1867, 1250, 1382, 269, 23680, 589, 31400, 595, 30327, 31400, 269, 4427, 18285, 585, 1863, 547, 1205, 19727, 24071, 1569, 547, 782, 938, 2200, 593, 1382, 1603, 543, 4081, 13629, 1519, 15545, 589, 3391, 547, 3621, 1603, 269, 5822, 7160, 269, 12670, 267, 22219, 269, 589, 3932, 3296, 1522, 585, 1383, 1331, 1179, 2827, 827, 930, 3270, 538, 519, 1239, 267, 610, 18747, 585, 2104, 1382, 563, 2005, 10416, 568, 2731, 519, 1152, 1747, 547, 2322, 707, 8369, 269, 589, 5758, 594, 2503, 1131, 711, 1331, 1022, 8369, 543, 1175, 556, 268, 30185, 519, 4681, 543, 12755, 538, 519, 1353, 563, 2026, 519, 824, 2626, 5018, 267, 519, 7493, 1058, 1331, 782, 519, 1292, 3344, 540, 519, 1957, 538, 606, 28484, 1106, 910, 519, 1888, 267, 519, 19165, 267, 519, 5171, 543, 1353, 1374, 267, 543, 519, 2164, 269, 12834, 281, 4706, 513, 5618, 4063, 602, 3947, 721, 2165, 1957, 7493, 7650, 267, 2093, 543, 5813, 827, 2101, 3584, 538, 513, 1957, 269, 2290, 2596, 3017, 281, 1323, 7493, 568, 2141, 693, 519, 4098, 540, 513, 4081, 1957, 563, 288, 3932, 568, 2141, 693, 519, 1439, 269, 589, 5758, 1223, 581, 9170, 267, 1256, 5094, 689, 519, 1957, 3294, 267, 865, 621, 781, 513, 3787, 811, 31868, 2044, 269, 6178, 909, 547, 6443, 713, 2146, 563, 763, 1655, 4267, 616, 20366, 909, 543, 4473, 547, 519, 1283, 269, 5851, 5999, 16193, 20305, 1133, 753, 26833, 269, 1548, 568, 519, 3017, 1063, 17593, 267, 3932, 543, 5758, 286, 9105, 7726, 269, 18542, 476, 277, 1296, 267, 476, 1015, 3275, 3516, 269, 1280, 1383, 267, 596, 1522, 1533, 602, 834, 1103, 713, 1353, 267, 15938, 2875, 5171, 941, 14477, 8655, 547, 1496, 1492, 8097, 2783, 316, 610, 1496, 1492, 1852, 2783, 4940, 1280, 1383, 267, 596, 1522, 2697, 952, 596, 1031, 513, 1369, 28175, 915, 338, 267, 1063, 28175, 915, 338, 267, 610, 6404, 1374, 563, 24876, 519, 2596, 4681, 269, 901, 568, 9247, 513, 798, 7493, 2165, 1957, 5618, 12744, 540, 519, 2164, 540, 707, 1957, 269, 3629, 1022, 8753, 610, 6286, 540, 519, 1353, 269, 1548, 1522, 707, 2164, 5815, 543, 1018, 8846, 1281, 621, 1448, 547, 585, 2104, 1382, 563, 2690, 606, 7493, 540, 513, 13849, 20400, 610, 3332, 2689, 15545, 14674, 519, 1966, 540, 1719, 269, 769, 824, 1913, 267, 1018, 568, 621, 602, 596, 1305, 856, 547, 8495, 538, 707, 2079, 610, 2689, 269, 11512, 519, 7355, 602, 941, 1031, 547, 2824, 519, 2090, 3769, 538, 519, 1957, 269, 7464, 12264, 267, 972, 949, 581, 1082, 1114, 2090, 13991, 547, 707, 1888, 563, 28350, 1957, 7493, 454, 7312, 2079, 610, 2689, 4440, 1152, 5654, 693, 513, 6712, 540, 891, 2090, 269, 1280, 1018, 2601, 1705, 596, 2824, 891, 1808, 2090, 547, 1331, 538, 707, 1382, 888, 26368, 519, 5171, 538, 519, 2090, 269, 634, 3928, 649, 5279, 616, 1360, 22237, 282, 6157, 4502, 519, 942, 596, 1131, 723, 10057, 547, 2328, 519, 1382, 1957, 7493, 3054, 563, 10932, 7433, 609, 17593, 338, 12726, 269, 8437, 519, 3239, 547, 23822, 269, 4985, 568, 606, 7127, 267, 16861, 1344, 267, 799, 4776, 2167, 519, 1292, 1257, 269, 1306, 8912, 621, 3568, 1507, 4773, 540, 1344, 827, 519, 1292, 1641, 267, 543, 568, 972, 547, 26675, 519, 3988, 543, 1118, 873, 5461, 538, 2417, 2542, 563, 7072, 568, 19957, 538, 1297, 540, 1913, 543, 666, 581, 909, 547, 2507, 1082, 3817, 267, 1256, 19421, 540, 3817, 269, 4985, 14767, 930, 2164, 610, 3730, 1344, 267, 855, 6799, 1152, 10372, 267, 1510, 13031, 540, 782, 11580, 563, 2005, 5161, 540, 519, 4845, 267, 1292, 1560, 543, 3932, 267, 799, 616, 2356, 19957, 538, 2450, 269, 2201, 519, 14669, 267, 1382, 1957, 7493, 5161, 540, 4081, 543, 7453, 1344, 827, 519, 1292, 1641, 540, 519, 960, 267, 552, 269, 8074, 281, 1411, 666, 1331, 4143, 17161, 950, 1603, 606, 7493, 269, 1452, 1683, 4030, 883, 519, 1292, 3584, 9619, 538, 707, 1382, 1957, 32647, 563, 2691, 547, 2328, 519, 7493, 543, 1141, 547, 2322, 621, 1411, 616, 4440, 11842, 1141, 519, 7493, 1058, 581, 5116, 538, 707, 1382, 1957, 281, 693, 519, 2165, 1957, 7493, 610, 2509, 519, 1439, 286, 4139, 8560, 281, 1215, 547, 2328, 606, 7493, 538, 1114, 4654, 563, 763, 2243, 540, 875, 547, 2328, 606, 7493, 568, 2442, 2495, 7493, 2165, 1957, 1175, 538, 606, 2296, 18702, 2796, 269, 7151, 540, 606, 7493, 538, 4436, 543, 2296, 563, 5978, 10862, 1948, 272, 568, 707, 13170, 454, 20082, 10390, 15020, 2110, 514, 1082, 2665, 1256, 1447, 982, 1913, 32647, 269, 918, 745, 572, 2859, 2143, 514, 11079, 4901, 543, 2976, 894, 5758, 32647, 269, 918, 745, 572, 2311, 519, 4098, 540, 519, 1957, 2311, 519, 1439, 540, 519, 1957, 3502, 851 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5319, 2809, 618, 540, 1272, 454, 26660, 540, 1272, 912, 271, 281, 10782, 1871, 454, 1911, 281, 1655, 1871, 454, 14197, 1072, 11994, 454, 310, 9590, 630, 26211, 4528, 994, 4510, 1700, 5392, 281, 1360, 1434, 454, 31723, 268, 1015, 2698, 6060, 454, 29590, 1377, 630, 20135, 6060, 2187, 19749, 354, 476, 2767, 281, 1164, 454, 1428, 1700, 866, 281, 26815, 4049, 454, 763, 3461, 4080, 606, 2333, 538, 1648, 543, 513, 6175, 540, 9854, 2589, 607, 540, 519, 8772, 2126, 8400, 267, 609, 9283, 11173, 936, 519, 1739, 7886, 269, 2991, 11264, 782, 476, 1015, 7886, 267, 1352, 5433, 4628, 16626, 543, 2111, 547, 3068, 2591, 538, 960, 543, 4357, 1272, 269, 4270, 7424, 4797, 693, 519, 1246, 5346, 6268, 476, 277, 4374, 2663, 269, 3143, 1713, 2427, 2360, 1185, 7018, 6306, 689, 606, 2333, 538, 8405, 1928, 1282, 2199, 623, 4932, 293, 3498, 267, 799, 20374, 1310, 15268, 2126, 8515, 538, 713, 1808, 1858, 267, 543, 513, 2110, 3856, 2333, 538, 9854, 1310, 519, 1101, 8400, 563, 763, 2164, 540, 782, 26830, 602, 941, 13950, 1354, 630, 307, 272, 1070, 5612, 1310, 630, 307, 273, 1070, 543, 476, 277, 4374, 630, 307, 274, 264, 1310, 519, 1439, 540, 519, 2126, 10630, 519, 3461, 3146, 19959, 6364, 630, 8368, 476, 272, 454, 1040, 634, 645, 293, 296, 6060, 8519, 689, 476, 277, 269, 3451, 630, 7116, 4733, 9854, 264, 693, 15977, 547, 476, 271, 269, 2420, 630, 7224, 9854, 264, 2022, 6304, 269, 634, 4102, 9283, 941, 2938, 538, 519, 7516, 540, 7099, 267, 960, 267, 2078, 267, 543, 18399, 540, 1272, 269, 634, 24700, 268, 3607, 849, 4951, 606, 2333, 538, 1896, 7516, 269, 4518, 1464, 4824, 689, 2565, 630, 2641, 269, 276, 2798, 264, 1354, 2126, 547, 1434, 630, 2412, 2798, 264, 1310, 519, 6304, 269, 634, 840, 17942, 3685, 2698, 6060, 540, 519, 623, 7704, 268, 1015, 8519, 689, 513, 1164, 630, 6246, 2798, 264, 547, 513, 9793, 630, 1626, 2798, 264, 2566, 1377, 2022, 6304, 269, 634, 1871, 585, 519, 9408, 1446, 27303, 1145, 8519, 689, 476, 2767, 547, 476, 1556, 2798, 543, 267, 593, 519, 824, 1688, 267, 519, 1871, 585, 1582, 30797, 2799, 689, 476, 279, 547, 476, 866, 2798, 269, 634, 11682, 304, 587, 495, 280, 6060, 4824, 689, 476, 1626, 2798, 630, 785, 21899, 26815, 4049, 4965, 264, 547, 513, 3339, 1377, 630, 273, 2798, 1040, 634, 717, 4696, 587, 495, 278, 6060, 849, 8519, 689, 513, 2619, 11043, 630, 1724, 2798, 264, 547, 513, 3339, 1871, 630, 273, 2798, 264, 1282, 519, 2126, 269, 26504, 1377, 4824, 689, 1970, 630, 273, 269, 6858, 2798, 264, 547, 1164, 630, 275, 269, 6858, 2798, 264, 1310, 2126, 269, 13724, 906, 30174, 538, 782, 2127, 267, 607, 519, 1246, 5346, 6268, 4951, 476, 277, 4374, 2663, 269, 1677, 2285, 721, 1806, 540, 1200, 1007, 1648, 2157, 267, 519, 3461, 4080, 602, 476, 274, 587, 495, 327, 554, 10105, 610, 11256, 513, 14735, 693, 519, 1439, 540, 513, 11112, 1554, 941, 1100, 3476, 513, 1966, 563, 1103, 2550, 7092, 689, 9854, 267, 623, 4932, 293, 2126, 814, 1044, 4294, 5097, 538, 2550, 609, 2789, 26379, 267, 609, 6404, 1967, 1496, 866, 454, 20118, 267, 19747, 6417, 8062, 630, 305, 6311, 338, 264, 593, 6419, 3797, 538, 4017, 668, 9234, 22468, 2550, 4951, 6404, 2164, 281, 538, 835, 4693, 267, 623, 4932, 293, 1319, 3797, 4824, 1928, 267, 4017, 668, 9234, 22468, 1764, 18102, 267, 543, 2298, 540, 1272, 3379, 547, 21897, 1496, 2764, 454, 3910, 6466, 1776, 1353, 4951, 1100, 27166, 540, 623, 4932, 293, 936, 21897, 538, 5355, 1928, 543, 1599, 1496, 3066, 454, 4940, 769, 5312, 30273, 1928, 630, 10175, 4017, 668, 9234, 22468, 2550, 1070, 623, 4932, 293, 1185, 1100, 3648, 11186, 5413, 936, 695, 600, 2126, 1496, 1789, 454, 4940, 3204, 8973, 11979, 6419, 3457, 267, 20974, 816, 21181, 1282, 3207, 3177, 19250, 1713, 1928, 8323, 543, 3207, 6454, 1496, 4029, 454, 3910, 6466, 1776, 4693, 1336, 1970, 11979, 6419, 4610, 1152, 9120, 547, 695, 600, 270, 639, 783, 1416, 538, 2474, 540, 8519, 1928, 2157, 1496, 3953, 454, 4940, 3115, 564, 1438, 10489, 31424, 6419, 2634, 14242, 17212, 1386, 1928, 543, 8476, 2298, 540, 1272, 538, 2550, 609, 4017, 668, 9234, 22468, 855, 1705, 711, 2087, 824, 2589, 267, 607, 3254, 538, 513, 2487, 9836, 2689, 1496, 3451, 454, 1103, 4600, 609, 960, 5829, 5312, 2566, 267, 606, 681, 6311, 1336, 1100, 3606, 1198, 540, 1769, 7132, 623, 4932, 293, 3797, 593, 2132, 547, 960, 267, 9854, 267, 2566, 267, 543, 2298, 540, 1272, 3379, 547, 18006, 4805, 1496, 4097, 454, 4913, 267, 1970, 23151, 623, 4932, 293, 3797, 814, 2907, 1044, 1031, 6707, 538, 513, 6739, 1353, 538, 519, 14317, 540, 476, 7367, 2550, 1310, 5046, 268, 866, 16415, 269, 623, 4932, 293, 8519, 7929, 2589, 267, 1928, 267, 4160, 267, 543, 4965, 267, 543, 4824, 2298, 540, 1272, 1496, 3374, 454, 763, 1880, 2168, 6724, 540, 519, 4294, 13590, 4610, 2408, 547, 723, 513, 1713, 1764, 593, 519, 4767, 1198, 593, 1979, 11043, 3889, 269, 20905, 609, 2110, 13942, 8653, 543, 513, 2647, 4908, 8552, 949, 1683, 513, 2362, 4960, 540, 1437, 908, 10408, 6547, 1496, 276, 454, 4940, 634, 1880, 2168, 6724, 540, 13590, 3457, 723, 547, 581, 2808, 950, 2090, 616, 3379, 543, 2164, 616, 14648, 1496, 276, 454, 4940, 10251, 267, 2556, 3877, 1915, 1944, 606, 13590, 3926, 971, 607, 519, 1826, 540, 519, 2361, 267, 519, 8515, 540, 519, 15632, 267, 4908, 267, 13942, 2557, 540, 4473, 543, 7771, 267, 13942, 3337, 267, 543, 6152, 610, 942, 540, 4598, 616, 4686, 1344, 1256, 538, 3621, 12326, 543, 4268, 7494, 1851, 1114, 2126, 10873, 269, 4475, 267, 16198, 1063, 4540, 2090, 543, 11727, 16863, 616, 1419, 2352, 1496, 276, 454, 4940, 3509, 540, 519, 3105, 2090, 593, 2789, 26379, 23938, 9854, 1496, 736, 454, 316, 543, 593, 4017, 668, 9234, 22468, 1496, 2764, 454, 316, 941, 5340, 609, 6419, 13441, 24186, 538, 519, 2890, 5052, 5055, 2039, 267, 1210, 1360, 26945, 2126, 6724, 269, 4475, 267, 891, 10873, 616, 15991, 13380, 547, 519, 835, 1031, 538, 713, 2013, 563, 1607, 2582, 2013, 1353, 4951, 9621, 2164, 2390, 7311, 623, 4932, 293, 538, 513, 3461, 7092, 689, 2022, 4211, 302, 4668, 268, 866, 9854, 269, 634, 3332, 5359, 12205, 1063, 2168, 2589, 543, 2790, 1072, 2152, 971, 607, 4160, 543, 4965, 1496, 275, 454, 4940, 3776, 2164, 666, 13974, 581, 14648, 547, 519, 1198, 602, 606, 6454, 538, 519, 2168, 1648, 1377, 5526, 547, 723, 513, 2312, 3310, 593, 5626, 8171, 543, 6043, 563, 763, 3169, 7154, 540, 2962, 540, 13590, 4610, 568, 7164, 1496, 276, 454, 4940, 7324, 824, 19165, 267, 621, 568, 6700, 602, 13590, 15128, 2170, 609, 2281, 3842, 2901, 9357, 9055, 610, 18993, 19830, 2033, 13364, 267, 7551, 27510, 5365, 1098, 9134, 22107, 3547, 610, 22212, 10408, 3252, 1496, 276, 454, 4940, 16684, 4598, 547, 1970, 1984, 2572, 5055, 24365, 623, 4932, 293, 729, 5063, 3254, 547, 3986, 16454, 686, 14003, 1496, 4391, 454, 316, 543, 1110, 3634, 10307, 543, 8937, 22435, 1496, 4343, 454, 316, 538, 513, 1591, 1353, 543, 3662, 4603, 269, 634, 8937, 22435, 1700, 14545, 1062, 1700, 28090, 7852, 568, 267, 538, 2490, 267, 6213, 547, 2566, 543, 4249, 606, 1271, 1909, 538, 519, 1646, 540, 2566, 5829, 2589, 971, 607, 513, 2101, 19591, 4524, 1496, 4375, 454, 3910, 799, 1522, 2491, 519, 4324, 540, 519, 623, 4932, 293, 3498, 593, 1978, 5626, 6724, 563, 288, 20159, 540, 713, 2013, 1867, 1223, 581, 602, 2188, 824, 982, 623, 4932, 293, 949, 723, 8329, 547, 606, 6454, 538, 2589, 269, 8447, 3635, 267, 3226, 20659, 7132, 4187, 2866, 267, 666, 2087, 2860, 5829, 9854, 1496, 2412, 454, 4940, 1717, 267, 519, 3461, 3323, 2168, 3635, 476, 276, 3275, 1354, 623, 4932, 293, 3797, 543, 1185, 711, 2938, 1022, 16148, 6454, 593, 9854, 2394, 1287, 269, 5455, 547, 476, 273, 3275, 1354, 519, 1376, 540, 623, 4932, 293, 2126, 972, 729, 32059, 269, 16723, 2188, 971, 607, 1200, 3375, 547, 3986, 1582, 13282, 543, 2569, 12353, 2324, 3108, 538, 519, 2104, 949, 849, 723, 5129, 513, 1909, 269, 1717, 267, 621, 666, 581, 10924, 602, 606, 6454, 540, 519, 1367, 6724, 547, 713, 6708, 936, 513, 2126, 1974, 540, 1152, 476, 276, 4374, 1131, 711, 723, 1044, 4397, 1510, 6304, 267, 6236, 602, 519, 20286, 1185, 2907, 30174, 585, 476, 277, 269, 276, 3275, 563, 300, 8568, 2361, 3797, 1759, 593, 9357, 15632, 3797, 568, 1134, 7109, 730, 267, 1875, 514, 15230, 267, 543, 3362, 4294, 547, 519, 4628, 21039, 3461, 1496, 276, 454, 4940, 4340, 547, 10672, 16551, 540, 519, 14466, 574, 328, 12814, 3926, 267, 21994, 267, 9854, 267, 15353, 267, 610, 15677, 630, 514, 476, 272, 269, 276, 260, 540, 1346, 5701, 264, 949, 2049, 1310, 519, 1101, 2126, 607, 1134, 607, 513, 2110, 3856, 29083, 540, 519, 3355, 2589, 1496, 277, 454, 4940, 634, 3332, 1281, 711, 1867, 1022, 1713, 2427, 2360, 689, 623, 4932, 293, 2126, 1496, 3607, 454, 7712, 713, 3498, 540, 623, 4932, 293, 538, 2022, 4211, 302, 4668, 268, 866, 9854, 6794, 4951, 9621, 2164, 267, 649, 2832, 547, 6218, 519, 1198, 540, 623, 4932, 293, 593, 1312, 3461, 3146, 19959, 543, 2168, 2773, 4093, 538, 513, 3677, 3461, 3732, 269, 1403, 519, 2164, 616, 3617, 267, 6419, 2361, 3797, 1223, 581, 606, 1271, 2126, 4781, 538, 1840, 547, 2168, 3635, 538, 519, 14317, 540, 2550, 609, 2022, 4211, 302, 4668, 268, 866, 9854, 6794, 269, 898, 949, 849, 4196, 607, 513, 2126, 4640, 593, 922, 1378, 538, 2550, 609, 15333, 785, 10716, 547, 2168, 3635, 610, 1713, 7687, 1813, 547, 5817, 6315, 641, 592, 14004, 610, 9647, 31517, 3676, 563, 306, 1440, 5424, 7186, 3788, 9243, 609, 2543, 547, 11758, 12302, 6811, 538, 3370, 7851, 543, 12250, 28930, 725, 269, 0, 2005, 568, 5667, 584, 19828, 602, 7391, 3823, 519, 2104, 540, 2029, 543, 519, 4950, 616, 9648, 269, 12344, 519, 1034, 8037, 1383, 568, 519, 15398, 7279, 4478, 519, 13849, 2091, 267, 799, 814, 1044, 2417, 28659, 1739, 9365, 779, 2012, 1689, 547, 2048, 300, 9508, 685, 547, 20206, 3634, 922, 5075, 585, 519, 4950, 779, 2104, 563, 2467, 568, 1454, 4901, 4478, 519, 1523, 540, 5680, 274, 267, 609, 1082, 1004, 3181, 908, 922, 1761, 547, 3337, 519, 2104, 540, 519, 4950, 269, 901, 2856, 814, 8810, 547, 581, 1312, 4241, 543, 11786, 538, 3160, 2268, 563, 9617, 1548, 1772, 901, 27405, 1190, 5680, 274, 888, 16158, 274, 568, 513, 2165, 1031, 547, 3277, 547, 519, 3791, 5108, 540, 519, 4950, 267, 799, 5267, 513, 1007, 1935, 547, 519, 2504, 543, 3892, 540, 1543, 2066, 519, 1357, 269, 898, 568, 5156, 547, 5815, 513, 1713, 6521, 538, 519, 1259, 1004, 2070, 519, 4950, 563, 763, 2622, 22453, 5680, 1101, 7902, 538, 519, 2038, 476, 1960, 271, 338, 267, 609, 7270, 5097, 9967, 540, 11979, 1543, 543, 8766, 3593, 5872, 269, 1452, 7270, 2356, 12286, 1257, 543, 1970, 22822, 12449, 267, 799, 729, 782, 602, 3755, 1223, 1569, 693, 519, 942, 269, 901, 3060, 568, 1631, 1634, 607, 5680, 272, 563, 4263, 519, 2490, 540, 519, 2540, 267, 5680, 273, 630, 528, 5680, 476, 273, 269, 271, 264, 3459, 547, 10836, 267, 8744, 811, 3593, 7888, 267, 7317, 2934, 547, 7270, 269, 634, 4417, 540, 1514, 2923, 693, 713, 942, 4718, 513, 2101, 6521, 538, 875, 1004, 1031, 519, 4950, 267, 607, 3755, 2968, 811, 3742, 538, 2870, 543, 4687, 741, 1378, 1543, 998, 21075, 267, 5048, 12545, 543, 1514, 2923, 563, 8601, 1373, 936, 1079, 5756, 2025, 267, 649, 616, 1869, 1818, 946, 540, 519, 1482, 4528, 540, 519, 4950, 269, 12634, 6531, 2861, 3156, 543, 5867, 723, 2938, 1713, 9283, 538, 6476, 547, 741, 840, 12641, 3716, 13413, 282, 2943, 267, 519, 4295, 2418, 540, 519, 4950, 267, 971, 607, 5698, 267, 1514, 5872, 267, 543, 519, 2956, 540, 1543, 267, 723, 7283, 519, 1482, 563, 2005, 568, 24669, 1946, 930, 1004, 616, 865, 13730, 827, 28006, 547, 5680, 274, 269, 2060, 3875, 2152, 267, 971, 607, 519, 3262, 540, 25749, 543, 6309, 514, 1275, 267, 4867, 6849, 519, 5769, 267, 621, 568, 2312, 602, 27290, 2242, 616, 2877, 269, 4475, 267, 950, 594, 2303, 602, 649, 991, 547, 1491, 9097, 3268, 547, 2087, 938, 2228, 1604, 267, 621, 568, 711, 856, 540, 14255 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 632, 1249, 334, 4831, 268, 9690, 4244, 585, 519, 6917, 5251, 563, 4407, 519, 6370, 585, 30566, 344, 5170, 547, 581, 10692, 267, 519, 10171, 602, 19384, 9316, 786, 1570, 1047, 607, 513, 8756, 585, 5009, 796, 2180, 13454, 4485, 547, 4000, 781, 6694, 1646, 3788, 1970, 269, 1924, 1018, 585, 8478, 4831, 13463, 28282, 545, 3162, 4149, 1926, 11407, 286, 1215, 1281, 621, 4009, 609, 519, 630, 515, 28282, 545, 264, 2413, 5314, 19876, 2531, 3215, 7459, 538, 519, 6694, 12106, 888, 299, 573, 807, 16410, 1537, 781, 2324, 1957, 267, 623, 1845, 1206, 267, 3353, 5974, 543, 570, 2784, 619, 281, 634, 1167, 27641, 6214, 540, 8478, 781, 6694, 9316, 538, 20787, 3711, 1664, 267, 568, 851, 540, 513, 3126, 540, 476, 2190, 2324, 4574, 9306, 1382, 689, 519, 3624, 543, 8478, 538, 3979, 11982, 1788, 269, 634, 2324, 4574, 616, 1373, 3370, 593, 519, 8892, 8968, 999, 3896, 1063, 5988, 543, 4873, 476, 1001, 276, 563, 15862, 281, 590, 30377, 3484, 2673, 547, 2473, 3907, 7087, 8092, 538, 4223, 334, 717, 4592, 810, 267, 8478, 269, 15894, 281, 15182, 731, 674, 269, 6154, 26320, 910, 674, 5585, 337, 630, 6717, 15760, 9539, 290, 4149, 288, 476, 273, 269, 271, 264, 0, 268, 8585, 548, 29276, 6199, 454, 763, 15795, 10601, 3807, 15687, 545, 20575, 267, 609, 621, 779, 2669, 17167, 540, 827, 476, 1839, 2929, 267, 729, 835, 540, 519, 1034, 21472, 8623, 12515, 538, 519, 1686, 540, 30768, 269, 901, 13096, 553, 564, 4354, 566, 9886, 786, 1489, 519, 1646, 540, 513, 3044, 2213, 267, 1930, 14092, 947, 23789, 540, 1239, 593, 519, 20575, 799, 786, 4196, 607, 513, 4704, 4199, 585, 5640, 543, 513, 3730, 1907, 585, 1382, 593, 824, 20575, 20825, 2429, 1686, 269, 634, 1788, 568, 851, 540, 23134, 779, 15834, 8693, 7827, 1299, 3778, 3194, 19541, 799, 27180, 519, 1764, 540, 2916, 1689, 593, 519, 7239, 540, 519, 11335, 543, 519, 8109, 20195, 22057, 2848, 28500, 936, 1079, 27453, 540, 1686, 563, 30560, 548, 29276, 6199, 568, 513, 15795, 4458, 12854, 11134, 538, 519, 3778, 4972, 543, 513, 8284, 540, 519, 15215, 4972, 269, 3571, 1382, 6212, 593, 519, 1974, 540, 7004, 689, 3735, 4936, 4341, 547, 519, 1647, 6502, 538, 717, 4954, 269, 0, 28657, 5129, 513, 2101, 1909, 538, 24918, 543, 729, 513, 16854, 1630, 517, 547, 519, 20466, 4229, 269, 769, 713, 7688, 267, 649, 3513, 2263, 4516, 781, 9525, 538, 519, 2112, 543, 8774, 1769, 593, 519, 5869, 1143, 602, 666, 2760, 581, 16618, 563, 1692, 1454, 798, 596, 917, 827, 875, 1286, 9817, 960, 286, 1656, 875, 1454, 798, 596, 917, 827, 875, 519, 2296, 1893, 1568, 286, 1656, 1018, 827, 875, 15963, 960, 286, 1215, 1454, 798, 596, 917, 286, 700, 13806, 585, 596, 267, 1215, 1805, 4428, 17582, 568, 827, 811, 982, 3246, 1390, 4267, 827, 875, 519, 1158, 1568, 269, 1284, 616, 849, 1934, 547, 3142, 7772, 547, 707, 1554, 609, 1187, 17118, 267, 8903, 10344, 543, 4241, 1592, 2873, 269, 2368, 540, 938, 1543, 568, 827, 875, 8631, 1568, 269, 2368, 568, 827, 875, 1454, 596, 917, 827, 875, 8631, 1568, 269, 1656, 930, 568, 1175, 585, 1187, 256, 5221, 267, 1134, 267, 1705, 596, 917, 602, 2348, 1187, 568, 606, 1271, 851, 540, 875, 707, 2634, 1568, 286, 4270, 267, 621, 568, 256, 1924, 1832, 2542, 256, 0, 13195, 513, 3059, 8254, 267, 4950, 3406, 267, 543, 1379, 1448, 269, 634, 14479, 729, 513, 3095, 547, 519, 2622, 22453, 5680, 563, 763, 1514, 22237, 3510, 540, 519, 1053, 941, 6404, 6710, 543, 2539, 1647, 1362, 269, 634, 4116, 814, 454, 324, 697, 8696, 1296, 540, 1995, 543, 1352, 1031, 2029, 9846, 693, 1753, 543, 538, 513, 4928, 269, 2701, 849, 454, 1740, 539, 538, 513, 2780, 1644, 1870, 563, 1607, 1880, 1362, 729, 606, 5580, 1377, 2542, 1362, 269, 1358, 1185, 547, 1382, 1344, 827, 606, 454, 987, 8541, 269, 634, 1101, 2985, 540, 1379, 1448, 729, 513, 4605, 540, 519, 19002, 543, 513, 6712, 540, 513, 1867, 602, 789, 1185, 454, 11398, 593, 519, 4950, 269, 634, 2034, 2985, 540, 519, 1867, 15538, 540, 1210, 513, 3059, 8254, 538, 799, 519, 4116, 454, 339, 809, 513, 4605, 540, 1142, 1126, 543, 2322, 538, 593, 513, 13472, 269, 1358, 1287, 1185, 547, 1711, 513, 1402, 11480, 1915, 799, 729, 454, 18478, 856, 540, 513, 1079, 2148, 11480, 269, 634, 1292, 6364, 540, 713, 1788, 729, 547, 1459, 621, 547, 519, 11359, 3446, 5049, 563, 1607, 2013, 10742, 519, 2121, 4441, 585, 1896, 4128, 269, 2290, 540, 873, 1373, 602, 789, 616, 2838, 454, 1729, 960, 593, 519, 4950, 269, 634, 4116, 3323, 676, 4758, 873, 513, 6656, 540, 1957, 10213, 873, 1018, 547, 1413, 585, 827, 454, 26132, 19002, 269, 1358, 941, 2111, 547, 3442, 945, 1197, 789, 4941, 269, 2701, 1185, 873, 960, 14350, 593, 741, 1788, 563, 1607, 10742, 2121, 4441, 1317, 621, 2982, 1053, 723, 519, 1983, 585, 1382, 269, 28527, 856, 540, 713, 1788, 2676, 29324, 1058, 581, 2111, 547, 917, 875, 547, 946, 1434, 1382, 1983, 543, 917, 875, 547, 946, 1379, 1448, 269, 6271, 454, 516, 1783, 1946, 713, 1558, 519, 2121, 4441, 729, 1317, 621, 5795, 519, 1453, 513, 4960, 547, 1397, 741, 5876, 676, 454, 327, 3058, 873, 1711, 519, 1915, 689, 519, 1079, 2148, 4420, 331, 2483, 1862, 1647, 540, 1957, 4429, 1862, 339, 547, 1205, 873, 811, 5432, 454, 5976, 519, 5769, 543, 609, 2029, 269, 1358, 1312, 723, 873, 946, 1379, 1448, 267, 3717, 538, 4395, 540, 1004, 267, 3059, 454, 31748, 5028, 543, 798, 1382, 563, 5445, 798, 723, 741, 3604, 269, 769, 519, 2034, 2013, 519, 4116, 814, 519, 1053, 798, 811, 960, 609, 519, 454, 26367, 269, 2701, 1281, 621, 538, 1447, 942, 982, 519, 824, 4116, 2324, 593, 513, 1788, 269, 769, 519, 1101, 2013, 1352, 22939, 454, 3467, 942, 593, 519, 1788, 269, 2701, 814, 873, 946, 1447, 540, 519, 2780, 982, 519, 824, 1362, 269, 2701, 849, 21697, 873, 454, 1692, 666, 649, 1451, 811, 689, 519, 1079, 2665, 4843, 1657, 547, 1732, 2743, 519, 3044, 286, 2290, 454, 338, 1828, 267, 538, 14621, 547, 519, 1101, 2013, 267, 568, 1352, 1223, 723, 1031, 811, 1382, 543, 811, 5872, 609, 519, 454, 18244, 269, 1358, 849, 1223, 723, 2854, 811, 269, 2060, 519, 2034, 2013, 519, 4116, 1223, 723, 873, 2721, 519, 454, 335, 27348, 593, 519, 2780, 982, 2721, 621, 676, 1688, 563, 23921, 5675, 6435, 888, 7476, 5955, 593, 8239, 267, 9355, 267, 6677, 1707, 543, 7954, 14678, 5861, 515, 1188, 707, 1957, 19314, 268, 15858, 9866, 3569, 2201, 1079, 1114, 2395, 267, 1896, 7422, 3576, 1747, 538, 1079, 1114, 2010, 540, 1604, 269, 594, 4767, 513, 4116, 543, 1200, 1053, 540, 513, 2034, 3446, 10026, 1153, 543, 513, 4116, 543, 1200, 1053, 9907, 476, 1240, 3275, 547, 1079, 1296, 2025, 538, 513, 1554, 3249, 1604, 269, 594, 4767, 519, 1604, 543, 5872, 540, 519, 4116, 543, 1010, 610, 1200, 1053, 2807, 1496, 15912, 281, 11819, 9866, 3569, 7797, 2639, 14338, 280, 1913, 630, 274, 269, 276, 3817, 994, 268, 15858, 9866, 3569, 2991, 19939, 3108, 540, 4928, 8343, 267, 594, 1413, 4464, 547, 1373, 513, 4116, 1256, 811, 982, 693, 519, 4098, 540, 713, 19496, 2807, 1496, 15912, 281, 11819, 9866, 3569, 7797, 2639, 280, 4649, 1913, 630, 273, 269, 278, 3817, 994, 268, 15858, 9866, 3569, 1879, 594, 8452, 693, 8865, 344, 16504, 3427, 594, 729, 2386, 602, 9656, 729, 519, 3446, 594, 4941, 547, 4001, 269, 2991, 1250, 8343, 729, 2944, 594, 6785, 602, 513, 2362, 3446, 729, 811, 3617, 585, 803, 269, 11554, 609, 971, 1762, 3214, 693, 513, 2673, 16133, 1185, 2016, 803, 513, 1732, 5133, 540, 1018, 3446, 543, 2085, 594, 1131, 581, 1034, 6225, 543, 811, 6899, 3450, 2807, 1496, 15912, 281, 11819, 9866, 3569, 7797, 2639, 9965, 275, 1913, 630, 276, 269, 272, 3817, 994, 268, 15858, 9866, 3569, 2201, 11728, 5988, 476, 2190, 267, 476, 1001, 275, 594, 10272, 11427, 269, 11969, 639, 685, 3791, 543, 8772, 3446, 8237, 1362, 693, 918, 1467, 16504, 269, 4173, 4928, 15538, 540, 513, 7848, 540, 3791, 543, 8772, 3446, 1053, 945, 941, 7318, 543, 13042, 607, 22064, 538, 1585, 1641, 6927, 269, 11427, 269, 11969, 639, 729, 3743, 585, 3450, 519, 1453, 1893, 543, 2542, 1983, 269, 634, 1362, 15538, 540, 606, 3160, 1297, 540, 8695, 543, 6690, 267, 2059, 609, 513, 2647, 3099, 540, 4529, 2807, 1496, 15912, 281, 11819, 9866, 3569, 7797, 476, 1001, 275, 2639, 278, 3445, 1913, 630, 273, 269, 274, 3817, 994, 268, 15858, 9866, 3569, 594, 946, 547, 3494, 602, 1373, 513, 4116, 729, 2469, 547, 581, 5216, 3108, 540, 3450, 543, 1373, 609, 1453, 269, 9861, 513, 4116, 8604, 547, 581, 519, 15864, 4876, 3903, 856, 972, 585, 803, 269, 2991, 13156, 519, 1053, 540, 782, 6502, 543, 2157, 267, 594, 723, 4957, 1250, 6644, 540, 3450, 269, 1703, 568, 606, 7164, 2427, 547, 519, 1158, 602, 666, 1152, 581, 2938, 950, 3330, 513, 4928, 2807, 1496, 15912, 281, 11819, 9866, 3569, 7797, 476, 1001, 275, 2639, 10482, 271, 1913, 630, 274, 269, 272, 3817, 994, 268, 634, 1153, 602, 594, 10272, 729, 1007, 269, 898, 729, 519, 1101, 1032, 540, 519, 1153, 6679, 269, 634, 1153, 4604, 1185, 5916, 1079, 3506, 883, 835, 267, 865, 519, 1053, 1185, 547, 4188, 547, 741, 1007, 5054, 543, 1007, 2043, 269, 1358, 8604, 547, 581, 3478, 2059, 1134, 609, 1142, 824, 269, 4595, 519, 1153, 568, 1007, 519, 4116, 814, 547, 4188, 547, 1007, 2042, 602, 27442, 1047, 269, 8648, 585, 519, 5396, 543, 2053, 585, 1210, 519, 2780, 22475, 1689, 269, 1924, 519, 4116, 1590, 2141, 581, 4368, 762, 585, 4376, 269, 769, 713, 8343, 540, 713, 4928, 594, 4121, 827, 519, 18399, 540, 3450, 2807, 1496, 15912, 281, 11819, 9866, 3569, 7797, 2639, 5038, 277, 1913, 630, 272, 269, 279, 3817, 994, 268, 12197, 9866, 3569, 14506, 7433, 634, 1655, 1259, 585, 2576, 547, 3313, 952, 789, 2731, 1131, 899, 547, 979, 883, 513, 1978, 2361, 568, 547, 7747, 543, 2911, 547, 1866, 945, 616, 2907, 538, 519, 9015, 269, 901, 568, 2523, 1271, 585, 17053, 3610, 1317, 4352, 596, 798, 711, 8275, 621, 607, 513, 2875, 267, 3450, 568, 513, 1360, 3454, 532, 2816, 602, 3340, 9639, 543, 8990, 269, 2060, 513, 3309, 4928, 540, 1053, 945, 723, 1585, 2157, 540, 1702, 593, 519, 5396, 1373, 6026, 543, 875, 789, 9787, 1346, 5396, 513, 4116, 1590, 581, 2111, 547, 2743, 519, 2115, 540, 891, 10453, 2807, 1496, 15912, 281, 11819, 9866, 3569, 7797, 476, 1001, 275, 2639, 9873, 271, 1913, 630, 274, 269, 278, 3817, 994, 268, 15858, 9866, 3569, 11427, 269, 28469, 619, 685, 11414, 1101, 3446, 693, 9540, 6807, 16504, 3427, 538, 9540, 6807, 267, 11882, 269, 4173, 1362, 568, 1500, 909, 540, 562, 31106, 1053, 267, 5216, 540, 799, 723, 1044, 8995, 609, 11838, 269, 769, 1840, 547, 11838, 835, 2875, 814, 849, 1044, 8995, 607, 11685, 958, 1219, 5050, 267, 2495, 646, 1281, 519, 6587, 540, 1018, 568, 1373, 1767, 547, 1864, 269, 1261, 568, 519, 1152, 2875, 547, 723, 1010, 1378, 11380, 282, 782, 824, 1053, 723, 8655, 16295, 2059, 1614, 1279, 7515, 593, 835, 2427, 540, 519, 4928, 2807, 1496, 15912, 281, 11819, 9866, 3569, 7797, 476, 1001, 275, 2639, 3422, 271, 1913, 630, 276, 269, 277, 3817, 994, 268, 15858, 9866, 3569, 594, 13166, 3459, 1250, 4876, 607, 513, 2875, 4116, 538, 5053, 593, 4864, 476, 1839, 267, 476, 1001, 275, 693, 17341, 4400, 3427, 538, 9540, 6807, 267, 11882, 269, 594, 960, 896, 519, 5583, 540, 11427, 269, 5842, 614, 267, 1250, 21927, 4116, 267, 945, 814, 1044, 10962, 654, 300, 9391, 1053, 547, 519, 8748, 1158, 540, 4654, 585, 936, 476, 1789, 1296, 269, 901, 1032, 11427, 269, 5842, 614, 568, 3450, 1585, 2157, 540, 5053, 630, 28723, 9255, 618, 267, 10001, 267, 8633, 267, 543, 594, 264, 607, 1134, 607, 3943, 594, 2807, 1496, 15912, 281, 11819, 9866, 3569, 7797, 476, 1001, 275, 2639, 21076, 271, 1913, 630, 277, 3817, 994, 268, 1879, 3206, 827, 519, 2470, 540, 1053, 267, 594, 1589, 827, 875, 519, 1053, 13789, 269, 594, 3494, 602, 519, 2623, 540, 1053, 607, 513, 1895, 9356, 3235, 937, 6291, 2495, 602, 1169, 1126, 31136, 8335, 4352, 1169, 2623, 666, 581, 7471, 269, 2755 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4408, 563, 2414, 5581, 6099, 1016, 25179, 6079, 4859, 5210, 585, 5021, 6051, 563, 2304, 4879, 540, 519, 5726, 4567, 540, 28801, 779, 28722, 2249, 267, 543, 6388, 540, 513, 5726, 4640, 6220, 538, 1606, 15856, 543, 608, 1606, 15856, 3800, 563, 19061, 3483, 281, 547, 1020, 12725, 9862, 543, 1970, 2987, 1584, 29436, 1150, 2722, 3631, 267, 3746, 2358, 4264, 3037, 2359, 543, 5065, 2249, 267, 602, 2709, 2950, 14323, 8925, 547, 1793, 1662, 543, 6633, 6683, 267, 948, 547, 3524, 6856, 3327, 543, 11177, 7607, 267, 4104, 3382, 543, 9265, 593, 632, 10809, 539, 2244, 563, 763, 918, 1168, 22944, 5149, 568, 2324, 609, 519, 918, 1168, 28801, 11094, 10418, 630, 298, 300, 6717, 264, 547, 1020, 5969, 12967, 2645, 543, 1239, 2200, 547, 5397, 4464, 9265, 1382, 543, 5726, 538, 28801, 563, 298, 1168, 781, 9295, 547, 6237, 543, 2199, 5824, 1977, 7579, 553, 454, 1607, 1788, 27180, 519, 4720, 540, 14947, 543, 7148, 13926, 3197, 538, 519, 973, 531, 31842, 7949, 1931, 5689, 335, 662, 658, 525, 267, 543, 6663, 547, 3565, 547, 5355, 938, 1620, 540, 29981, 3347, 1369, 519, 1931, 563, 763, 5689, 335, 662, 658, 525, 2480, 337, 2255, 25247, 568, 513, 1514, 13033, 1907, 547, 1628, 267, 2671, 543, 15476, 1344, 593, 519, 4763, 540, 519, 5689, 335, 662, 658, 525, 563, 32086, 19384, 27386, 5159, 454, 763, 11335, 568, 835, 540, 519, 1158, 779, 1034, 7686, 5744, 4525, 609, 476, 1839, 267, 1822, 1114, 2030, 2249, 269, 901, 18508, 568, 9691, 12219, 689, 1480, 1646, 543, 3340, 14849, 4027, 269, 634, 11335, 23268, 11094, 26844, 568, 17935, 547, 16102, 519, 3148, 779, 2371, 563, 763, 5709, 1400, 7233, 18780, 7896, 786, 7520, 1382, 543, 1291, 547, 811, 2500, 3782, 676, 3246, 513, 1863, 543, 22265, 2228, 4199, 585, 16392, 2030, 4408, 267, 543, 3606, 2533, 585, 519, 1072, 267, 1382, 543, 9431, 8128, 563, 10932, 883, 519, 2757, 543, 2413, 1554, 3096, 540, 519, 5177, 18508, 563, 1607, 568, 519, 18749, 1433, 538, 513, 3126, 540, 7233, 11094, 6744, 29812, 585, 23759, 3019, 269, 898, 6257, 519, 476, 279, 8287, 2249, 543, 8677, 540, 15496, 2030, 543, 535, 1716, 4362, 865, 2484, 538, 519, 10859, 11546, 322, 25325, 543, 28033, 7733, 540, 519, 6069, 631, 1030, 537, 2817, 5244, 538, 6239, 16323, 267, 1175, 5045, 540, 519, 3854, 267, 962, 320, 895, 2946, 267, 2282, 519, 6316, 540, 519, 590, 23759, 3019, 17934, 879, 563, 7197, 1850, 2541, 26908, 5305, 14947, 607, 2582, 9274, 630, 3000, 6758, 1070, 855, 14947, 540, 519, 1850, 2541, 1016, 26967, 631, 574, 657, 334, 728, 2801, 568, 1634, 547, 7361, 2049, 538, 17396, 2516, 540, 14947, 9274, 630, 335, 8432, 6758, 1040, 901, 1353, 12116, 2497, 267, 1646, 267, 9836, 4644, 267, 14498, 543, 4720, 540, 14947, 4874, 6758, 538, 519, 1850, 2541, 1016, 26967, 631, 574, 657, 334, 728, 2801, 563, 4462, 16225, 532, 519, 12105, 1686, 540, 519, 30883, 24207, 9341, 22986, 1920, 563, 18404, 20326, 2557, 267, 25297, 540, 519, 32594, 267, 543, 9245, 5714, 640, 1404, 513, 1909, 538, 6079, 18959, 3599, 563, 1607, 1788, 786, 2087, 938, 9836, 1702, 540, 519, 17343, 1922, 9879, 1884, 8994, 2065, 1920, 623, 614, 592, 19687, 676, 7114, 18105, 4094, 13443, 13181, 1327, 328, 543, 5355, 3454, 517, 10386, 563, 21008, 894, 543, 4720, 2090, 593, 5810, 543, 4870, 2803, 322, 1878, 538, 1395, 665, 1824, 454, 13480, 593, 519, 19916, 543, 1646, 540, 1395, 665, 582, 14947, 543, 7148, 564, 636, 814, 3177, 4030, 883, 519, 4720, 540, 891, 3197, 543, 8309, 547, 938, 1620, 540, 3347, 1851, 519, 1395, 665, 1824, 563, 1607, 1788, 786, 7857, 1047, 782, 1395, 665, 1824, 267, 524, 269, 476, 736, 260, 540, 519, 15496, 2371, 269, 3933, 665, 1824, 2270, 2030, 26908, 540, 519, 5207, 5726, 267, 8733, 543, 2804, 2956, 267, 971, 607, 30597, 267, 21823, 267, 6822, 2471, 543, 27374, 543, 1683, 476, 4037, 260, 540, 1480, 6484, 563, 3725, 3887, 1998, 15070, 24466, 10124, 538, 519, 17215, 1271, 6371, 1931, 630, 22437, 2297, 1070, 1519, 10285, 3889, 269, 0, 307, 3949, 543, 5868, 454, 28122, 3096, 513, 6419, 2361, 543, 5925, 6329, 547, 1711, 2143, 2592, 540, 519, 8219, 543, 8031, 1369, 707, 1560, 563, 19575, 14647, 9196, 3096, 1164, 23151, 3280, 6329, 547, 1711, 2592, 540, 3889, 538, 707, 1560, 563, 311, 17530, 616, 513, 1106, 540, 5982, 602, 666, 1118, 2592, 540, 707, 7633, 543, 4835, 8219, 563, 307, 805, 906, 543, 5061, 454, 294, 582, 513, 11213, 4745, 286, 2060, 818, 628, 18122, 267, 596, 666, 1265, 856, 1946, 2443, 543, 1205, 8323, 563, 11321, 269, 476, 2764, 267, 476, 1001, 275, 454, 268, 16164, 1676, 670, 289, 269, 7351, 23369, 1299, 9615, 538, 13106, 25660, 923, 269, 476, 275, 628, 1196, 269, 1715, 3840, 267, 715, 28629, 12727, 634, 17755, 3863, 6953, 650, 14992, 282, 476, 1220, 277, 269, 5291, 2517, 4178, 269, 17739, 25924, 2593, 270, 637, 1830, 307, 8016, 269, 5684, 343, 286, 637, 1830, 2839, 284, 736, 269, 21700, 4119, 269, 476, 1691, 267, 476, 1001, 274, 563, 268, 18722, 7460, 269, 9093, 14166, 5945, 540, 519, 12597, 269, 5291, 2517, 4178, 269, 340, 696, 617, 622, 2593, 10774, 727, 269, 21700, 4119, 269, 476, 1691, 267, 476, 1001, 274, 563, 268, 9093, 14166, 17229, 269, 1977, 9142, 540, 13106, 30249, 14037, 31048, 976, 269, 5291, 2517, 2180, 7765, 325, 334, 269, 12711, 657, 3820, 14121, 8084, 6983, 325, 332, 286, 339, 8084, 284, 288, 19740, 6812, 269, 21700, 4119, 269, 476, 1691, 267, 476, 1001, 274, 563, 268, 918, 26234, 818, 628, 18122, 269, 1977, 9142, 540, 13106, 30249, 14037, 31048, 976, 269, 5291, 2517, 2180, 7765, 325, 334, 269, 12711, 657, 3820, 14121, 8084, 6983, 325, 332, 286, 339, 8084, 284, 288, 16573, 4200, 269, 21700, 4119, 269, 476, 1691, 267, 476, 1001, 274, 269, 0, 24993, 281, 476, 1321, 270, 1015, 270, 1001, 274, 476, 1556, 281, 6021, 6751, 454, 32046, 281, 476, 1321, 270, 1015, 270, 1001, 274, 476, 273, 281, 2537, 6751, 654, 14888, 302, 2593, 454, 295, 2426, 518, 568, 1945, 711, 1419, 2938, 909, 4395, 267, 538, 1268, 269, 23883, 12341, 607, 2673, 607, 519, 4928, 269, 589, 1426, 1982, 1572, 519, 7982, 303, 871, 5358, 2488, 1426, 585, 17237, 3345, 1633, 3214, 950, 789, 2811, 2476, 689, 1153, 593, 519, 32300, 269, 901, 568, 519, 1101, 1032, 1849, 13228, 564, 3427, 10588, 568, 3238, 563, 257, 299, 1824, 540, 891, 3214, 1205, 1426, 693, 1153, 1282, 519, 3018, 267, 3905, 12899, 267, 789, 1522, 1205, 14254, 2437, 6941, 7981, 4065, 4116, 267, 13891, 10162, 778, 269, 834, 3719, 267, 1018, 649, 1336, 568, 972, 616, 3214, 945, 1810, 1405, 1205, 602, 1426, 593, 32300, 269, 901, 4991, 873, 602, 1426, 4799, 4263, 519, 1439, 540, 519, 1153, 3018, 267, 513, 1126, 666, 979, 1753, 609, 513, 9126, 4904, 609, 2614, 1426, 547, 1205, 873, 998, 519, 15964, 269, 769, 1931, 547, 1265, 945, 949, 581, 538, 991, 267, 3610, 1413, 585, 4191, 513, 1126, 3884, 1405, 3478, 2614, 547, 3548, 563, 257, 15919, 621, 781, 1360, 6654, 2437, 3081, 10162, 778, 269, 834, 27736, 945, 1810, 1405, 723, 16152, 585, 1426, 267, 610, 2161, 789, 1810, 1405, 723, 1426, 693, 1753, 4799, 30747, 7124, 4116, 267, 6307, 25234, 5287, 267, 3081, 1352, 814, 14754, 14000, 538, 519, 4928, 20250, 267, 543, 8843, 513, 1650, 563, 257, 9336, 1485, 538, 9656, 649, 1780, 856, 15165, 2437, 3081, 25234, 5287, 269, 834, 4517, 594, 5795, 513, 2370, 18560, 513, 1085, 17274, 540, 23611, 609, 1010, 5144, 269, 1261, 781, 4730, 609, 621, 593, 1010, 23040, 7219, 269, 1656, 594, 1767, 267, 1412, 18484, 1405, 596, 899, 519, 15165, 2221, 286, 262, 1261, 1767, 267, 1412, 604, 594, 1810, 1405, 3548, 621, 267, 1250, 7015, 543, 594, 666, 723, 1139, 518, 9522, 697, 9538, 3371, 781, 513, 2947, 1032, 2025, 14126, 827, 1010, 2370, 7015, 3478, 1945, 547, 3548, 4799, 5629, 513, 1126, 568, 1336, 547, 581, 538, 991, 267, 513, 29748, 1106, 568, 2366, 547, 602, 1126, 781, 3237, 6998, 952, 789, 1131, 899, 547, 581, 538, 519, 1982, 563, 24679, 781, 2944, 538, 513, 1360, 9602, 1259, 2437, 6941, 10162, 778, 540, 519, 1426, 269, 834, 2005, 781, 9447, 547, 3610, 950, 3214, 616, 856, 540, 519, 4928, 269, 898, 781, 2322, 538, 1394, 335, 2931, 1510, 824, 3214, 7487, 4799, 2691, 519, 3214, 2132, 689, 547, 519, 4928, 689, 519, 15964, 267, 789, 723, 3254, 513, 2318, 3210, 563, 257, 5445, 1205, 782, 575, 1342, 344, 2437, 25234, 5287, 3081, 609, 513, 12837, 269, 834, 5445, 2161, 267, 1412, 933, 3893, 547, 3548, 593, 519, 15964, 8339, 1656, 596, 1175, 1616, 547, 3956, 4799, 4415, 948, 689, 519, 2136, 10158, 267, 782, 519, 1426, 2501, 2047, 689, 519, 5822, 28610, 8832, 20463, 5253, 7813, 269, 589, 2635, 5542, 540, 1426, 267, 2016, 2047, 547, 1053, 269, 25234, 5287, 543, 10162, 778, 4126, 519, 7982, 303, 871, 5358, 21040, 547, 1331, 811, 1153, 13102, 538, 519, 2104, 563, 2690, 811, 1344, 3823, 519, 7982, 303, 871, 5358, 267, 610, 547, 1294, 952, 707, 1153, 8664, 568, 3238, 267, 3346, 519, 5822, 28610, 8832, 20463, 5253, 7813, 563, 13553, 28610, 8832, 20463, 5253, 7813, 454, 14596, 274, 5794, 335, 1046, 25376, 4582, 731, 454, 291, 592, 3578, 267, 30400, 476, 4649, 279, 1556, 454, 17490, 281, 630, 25908, 264, 476, 278, 2767, 268, 276, 4792, 274, 454, 293, 1314, 281, 630, 25908, 264, 476, 278, 2767, 268, 18089, 276, 454, 293, 527, 3455, 781, 476, 276, 298, 14780, 2478, 1269, 736, 298, 1280, 8479, 26465, 525, 454, 2005, 949, 711, 723, 5433, 1454, 899, 5614, 2221, 267, 855, 5215, 9896, 5346, 547, 32380, 2196, 3544, 269, 898, 729, 519, 476, 1839, 628, 16316, 28546, 3455, 781, 476, 276, 298, 713, 6640, 543, 602, 1797, 17040, 4005, 538, 519, 3345, 1633, 814, 13166, 3323, 269, 901, 1032, 267, 519, 5198, 6659, 1269, 736, 267, 1822, 585, 519, 8479, 26465, 525, 7690, 563, 8070, 3146, 4725, 267, 20070, 3293, 16176, 344, 26449, 1234, 548, 1078, 538, 32493, 454, 288, 4686, 6777, 344, 22559, 602, 729, 5734, 676, 513, 1668, 538, 6115, 667, 5861, 269, 543, 2366, 547, 16506, 585, 11222, 568, 1394, 538, 519, 3552, 269, 634, 22559, 729, 5950, 3544, 32493, 14349, 563, 290, 22511, 540, 7111, 8315, 18120, 26272, 18270, 919, 15604, 781, 7736, 454, 763, 476, 1839, 628, 5993, 17781, 540, 8315, 4073, 530, 578, 3576, 1747, 693, 519, 772, 16703, 3689, 8315, 4741, 593, 14349, 269, 634, 4099, 781, 8689, 7125, 621, 513, 11812, 540, 1272, 267, 2523, 1310, 519, 1279, 5162, 563, 25821, 674, 28127, 3487, 625, 585, 4139, 16680, 15188, 4303, 454, 763, 11272, 674, 28127, 538, 667, 592, 3578, 4371, 606, 4139, 16680, 15188, 4303, 2680, 593, 14349, 269, 634, 5428, 12286, 2661, 2575, 267, 3908, 24737, 819, 13847, 267, 16152, 543, 26065, 563, 17954, 752, 9724, 609, 519, 14914, 645, 22324, 454, 763, 3493, 582, 4371, 513, 14254, 609, 519, 14914, 536, 22324, 593, 14349, 6640, 269, 2871, 3949, 1223, 3548, 267, 1404, 3756, 543, 1491, 5961, 609, 519, 9649, 536, 22324, 1354, 519, 2462, 1554, 269, 0, 10932, 3377, 476, 1001, 275, 454, 5278, 1279, 1875, 2275, 5317, 681, 18456, 616, 6671, 1310, 782, 454, 4047, 2839, 5085, 21612, 294, 267, 476, 275, 4989, 476, 1001, 275, 1107, 3502, 865, 1279, 3516, 3173, 2219, 602, 681, 18456, 3357, 538, 1079, 2010, 281, 8193, 681, 18456, 602, 1118, 5946, 543, 1875, 2275, 5317, 681, 18456, 602, 723, 7293, 5107, 269, 3973, 3357, 519, 6602, 540, 1507, 681, 18456, 602, 8118, 909, 2898, 1007, 2127, 540, 1382, 269, 3767, 3173, 723, 2097, 2407, 5858, 543, 10567, 602, 930, 1279, 1875, 2275, 5317, 681, 18456, 666, 2285, 4473, 547, 1507, 5946, 602, 723, 6211, 3252, 269, 589, 2487, 1353, 538, 634, 661, 11586, 302, 4750, 6257, 875, 3173, 723, 1031, 10775, 25593, 27992, 547, 2697, 1896, 4627, 1279, 1875, 2275, 5317, 681, 18456, 602, 949, 2285, 4473, 547, 1507, 30902, 563, 22102, 1875, 2275, 5317, 681, 18456, 1223, 581, 9963, 4191, 540, 2860, 454, 4047, 2839, 5085, 21612, 294, 267, 476, 1704, 5988, 476, 1001, 275, 1107, 9540, 1875, 2275, 5317, 681, 18456, 666, 581, 1031, 547, 3589, 952, 2043, 723, 6089, 2860, 9959, 3173, 945, 3565, 547, 634, 9435, 32081, 25304, 1788, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 297, 13860, 2782, 6199, 5576, 537, 267, 630, 4489, 278, 268, 1960, 280, 1070, 729, 513, 1762, 4807, 950, 1352, 4956, 547, 2951, 547, 31297, 538, 476, 4350, 277, 269, 9861, 513, 1863, 9997, 267, 606, 7376, 10362, 547, 513, 1920, 540, 5159, 267, 1352, 729, 711, 5461, 538, 519, 17119, 885, 1993, 6214, 269, 4658, 941, 1200, 1719, 269, 4173, 8404, 729, 1200, 1390, 1719, 538, 519, 6014, 1004, 543, 1200, 6161, 585, 519, 3510, 540, 519, 7642, 538, 5125, 563, 297, 13860, 18423, 609, 519, 14858, 1188, 754, 21807, 1920, 538, 31297, 267, 534, 11361, 3993, 715, 7534, 630, 13900, 523, 7534, 264, 609, 1079, 20277, 14930, 267, 918, 4669, 543, 28199, 269, 808, 13860, 8593, 538, 2648, 609, 918, 4669, 14858, 1188, 754, 21807, 267, 606, 3750, 11285, 267, 945, 729, 476, 2918, 1296, 1200, 9632, 269, 1284, 798, 711, 917, 519, 2470, 540, 808, 2335, 553, 2078, 609, 918, 4669, 267, 855, 538, 5022, 547, 835, 1776, 789, 2328, 15754, 2299, 827, 741, 15143, 543, 8994, 4690, 267, 607, 1134, 607, 2104, 4566, 269, 1809, 782, 4566, 3357, 547, 606, 23589, 1439, 950, 918, 4669, 729, 18486, 676, 519, 9399, 538, 4864, 476, 4350, 277, 269, 1261, 729, 1244, 9285, 547, 590, 778, 11420, 27346, 523, 5834, 3786, 538, 2107, 534, 773, 7921, 2282, 12670, 269, 3371, 646, 729, 4573, 23624, 693, 519, 3946, 540, 519, 21647, 267, 865, 16094, 602, 646, 8694, 909, 538, 513, 6413, 1141, 646, 5747, 538, 5130, 476, 4350, 278, 563, 4415, 1100, 14633, 547, 2911, 547, 827, 1200, 2530, 267, 808, 13860, 4797, 1200, 12599, 547, 5125, 267, 21528, 7642, 538, 3001, 741, 7221, 543, 3024, 1963, 547, 16862, 538, 519, 1184, 540, 3478, 856, 540, 13303, 8566, 1069, 1415, 269, 2701, 849, 18423, 538, 3346, 609, 28199, 14858, 1188, 754, 21807, 267, 519, 17005, 7015, 540, 918, 4669, 269, 2701, 10272, 1864, 1614, 2053, 1354, 519, 12176, 540, 519, 2112, 269, 1358, 5330, 539, 5781, 689, 476, 4350, 277, 547, 476, 3707, 273, 269, 2353, 519, 5022, 941, 6854, 676, 808, 13860, 543, 616, 513, 2189, 2707, 547, 519, 21324, 540, 519, 2713, 2175, 540, 7642, 538, 5125, 269, 5272, 1900, 540, 1208, 559, 2747, 666, 581, 4553, 2394, 28199, 8359, 547, 1491, 1010, 1378, 1272, 547, 2057, 1244, 677, 566, 547, 634, 637, 1329, 26684, 339, 538, 519, 4832, 540, 476, 3707, 273, 563, 1103, 476, 3707, 271, 267, 808, 13860, 1558, 3220, 269, 853, 1030, 534, 3794, 6686, 4242, 2006, 538, 10515, 32683, 269, 853, 1030, 534, 267, 945, 729, 513, 1762, 6014, 14787, 689, 32160, 267, 1185, 2097, 547, 16862, 538, 476, 4350, 280, 547, 7390, 4832, 6030, 538, 20636, 269, 1261, 8593, 14834, 569, 538, 2648, 609, 808, 13860, 269, 808, 13860, 729, 8572, 547, 2132, 853, 1030, 534, 779, 15754, 267, 543, 607, 1352, 7000, 547, 1200, 11078, 769, 320, 538, 476, 3707, 272, 267, 1352, 1185, 968, 560, 650, 711, 1044, 2111, 547, 7340, 918, 314, 4669, 316, 2098, 314, 324, 1188, 754, 21807, 3910, 5103, 782, 3646, 9731, 5194, 9514, 729, 1102, 21719, 2390, 808, 13860, 779, 1762, 1272, 267, 950, 853, 1030, 534, 3794, 6686, 4242, 2006, 729, 18486, 676, 519, 20636, 8128, 538, 476, 3707, 272, 269, 769, 476, 3707, 271, 268, 6078, 519, 20636, 8128, 1500, 1390, 3646, 547, 5225, 519, 13303, 31269, 543, 1256, 6035, 873, 2493, 6804, 6014, 15076, 585, 1244, 677, 566, 267, 538, 7247, 519, 22085, 268, 21232, 1218, 538, 10515, 32683, 1185, 1100, 1483, 1719, 269, 634, 4436, 8128, 941, 26997, 547, 3398, 11488, 891, 1004, 547, 5125, 267, 855, 6368, 1705, 865, 1813, 547, 7368, 17066, 676, 519, 20636, 8128, 269, 14755, 4550, 4149, 655, 12792, 21274, 538, 519, 7245, 540, 15076, 267, 519, 8128, 849, 9763, 6014, 15076, 607, 513, 1761, 2883, 11411, 269, 1452, 2621, 14626, 3660, 609, 519, 20636, 6080, 30364, 7494, 689, 13143, 532, 741, 5370, 547, 13303, 5125, 563, 297, 13860, 1705, 3388, 1352, 1223, 547, 2061, 853, 1030, 534, 3794, 6686, 4242, 2006, 779, 1244, 677, 566, 269, 2991, 519, 20636, 12080, 540, 10456, 4956, 547, 1244, 677, 1864, 267, 543, 519, 30123, 777, 334, 538, 4469, 839, 7921, 1500, 621, 2009, 267, 646, 729, 29802, 538, 4469, 839, 7921, 547, 581, 16487, 2663, 547, 519, 5834, 3786, 590, 778, 11420, 27346, 523, 543, 27477, 547, 519, 29200, 24162, 7304, 1601, 523, 267, 606, 9399, 2275, 2086, 543, 26755, 538, 590, 3796, 807, 267, 1141, 646, 729, 7166, 538, 5437, 476, 3707, 272, 563, 297, 13860, 14754, 519, 13303, 3520, 5558, 811, 5702, 982, 1034, 667, 6951, 269, 4014, 1352, 729, 606, 1930, 543, 2911, 894, 1268, 267, 1352, 729, 2760, 8348, 547, 7866, 1200, 29053, 2833, 269, 1809, 1352, 2451, 3297, 519, 19359, 609, 1200, 6014, 2828, 269, 1358, 616, 606, 24215, 1271, 2707, 585, 1686, 267, 799, 568, 1631, 538, 519, 1184, 540, 1373, 3370, 269, 0, 299, 3151, 2597, 568, 9157, 585, 2021, 267, 1353, 454, 6097, 547, 513, 1007, 1353, 676, 513, 2319, 540, 3173, 267, 519, 4008, 540, 513, 1268, 5540, 538, 741, 2702, 547, 6336, 2597, 607, 2021, 1265, 621, 2352, 547, 6336, 2597, 982, 2367, 563, 14722, 3366, 676, 519, 2160, 540, 589, 828, 1372, 523, 538, 5177, 1336, 2963, 602, 519, 4008, 5540, 519, 2702, 547, 6336, 2597, 269, 1358, 1767, 602, 621, 568, 9875, 585, 2021, 547, 6336, 2597, 3379, 547, 2367, 1317, 741, 12058, 616, 29040, 8335, 269, 634, 1353, 729, 5645, 856, 676, 3173, 689, 2160, 540, 589, 828, 1372, 523, 538, 5698, 609, 1346, 689, 519, 2160, 540, 11062, 543, 2160, 540, 12309, 563, 5445, 1031, 513, 10856, 2203, 547, 1353, 3023, 3017, 538, 2597, 2744, 1759, 593, 3604, 538, 2168, 2534, 543, 1648, 18820, 269, 1358, 941, 2111, 547, 2981, 17324, 5256, 8983, 609, 2799, 14031, 543, 4389, 2168, 2534, 883, 10709, 267, 2635, 8983, 855, 519, 1482, 7004, 1705, 711, 4755, 585, 4775, 8983, 538, 519, 4603, 269, 32546, 1767, 602, 519, 4681, 540, 519, 1353, 1223, 723, 6286, 585, 519, 1646, 540, 1007, 3023, 10391, 6527, 538, 1931, 547, 1732, 10994, 519, 3390, 540, 8377, 538, 2367, 543, 2021, 14384, 563, 763, 2319, 1767, 602, 2281, 538, 519, 2634, 3148, 1118, 2634, 10399, 1572, 605, 19945, 328, 558, 601, 534, 665, 677, 514, 630, 303, 6865, 290, 264, 30902, 602, 616, 3743, 585, 15725, 938, 14031, 267, 2168, 2534, 267, 1648, 18820, 543, 1560, 2597, 269, 1717, 267, 519, 623, 6865, 290, 30902, 1281, 711, 9244, 1110, 3634, 2168, 2534, 610, 1648, 18820, 538, 2021, 3379, 547, 2367, 563, 299, 7702, 1261, 529, 2401, 689, 2160, 540, 589, 828, 1372, 523, 945, 3366, 519, 1353, 267, 1767, 267, 834, 763, 2622, 2657, 25944, 630, 21766, 264, 5359, 2362, 3928, 540, 8377, 538, 2021, 5001, 267, 8757, 7466, 519, 9860, 540, 2367, 538, 930, 2694, 540, 519, 1158, 269, 1284, 723, 4362, 602, 519, 851, 540, 519, 2634, 602, 814, 513, 1713, 3310, 593, 875, 649, 946, 519, 8477, 602, 649, 3548, 568, 29040, 8335, 538, 9038, 543, 8951, 4799, 6124, 10215, 5240, 454, 268, 23592, 7844, 962, 13437, 3587, 2370, 3787, 811, 7199, 547, 1931, 538, 3624, 454, 268, 623, 832, 3832, 779, 5063, 30792, 17030, 681, 10417, 12744, 338, 3167, 5198, 6517, 540, 2104, 454, 268, 4457, 10672, 717, 3722, 779, 589, 542, 966, 552, 4149, 10013, 666, 5279, 476, 271, 268, 3199, 260, 538, 1175, 476, 279, 3764, 454, 268, 744, 3333, 573, 9461, 4139, 608, 1080, 5545, 25877, 5198, 267, 19696, 3978, 5683, 12150, 885, 454, 268, 29640, 299, 543, 9437, 6052, 2272, 585, 5176, 476, 7918, 260, 540, 2518, 1535, 14110, 6007, 2344, 281, 19301, 292, 3194, 454, 268, 7969, 27576, 986, 1356, 4406, 550, 3626, 17664, 328, 13788, 552, 1532, 833, 1870, 609, 15283, 5379, 24211, 289, 2039, 454, 268, 5843, 22994, 1006, 2982, 1055, 2504, 4528, 540, 12130, 1503, 3626, 476, 273, 269, 271, 543, 476, 274, 2914, 31856, 539, 552, 1606, 1723, 582, 518, 454, 268, 4457, 3167, 27576, 20536, 5345, 5803, 16359, 31260, 547, 1305, 909, 15945, 538, 8050, 454, 268, 14210, 928, 307, 8591, 811, 3167, 22720, 310, 338, 547, 1353, 946, 540, 12601, 338, 547, 1489, 1379, 21870, 454, 268, 7977, 779, 6789, 18444, 3045, 25555, 4566, 547, 3888, 3444, 28029, 787, 16600, 1922, 770, 12601, 12123, 3060, 0, 1056, 338, 585, 7913, 8629, 5772, 8595, 454, 663, 568, 519, 2189, 32165, 585, 3615, 593, 519, 4950, 269, 898, 666, 581, 1031, 547, 1711, 10770, 3095, 543, 547, 13712, 4930, 563, 8794, 20396, 607, 513, 10770, 3095, 454, 2414, 1711, 513, 10770, 3095, 267, 1039, 7987, 490, 10674, 2517, 11459, 269, 8742, 3820, 270, 7987, 491, 454, 29592, 513, 20396, 563, 2690, 3236, 267, 952, 519, 20396, 540, 606, 2376, 568, 476, 1015, 269, 276, 3066, 278, 4882, 518, 269, 6344, 272, 269, 16573, 2073, 596, 666, 3095, 6414, 1836, 547, 519, 2376, 676, 10024, 519, 1739, 3095, 538, 707, 11422, 281, 5291, 2517, 11459, 269, 8742, 3820, 270, 476, 1015, 269, 276, 3066, 278, 4882, 518, 269, 6344, 272, 269, 16573, 476, 25707, 763, 20396, 3095, 786, 2141, 1463, 596, 547, 519, 1034, 8242, 2376, 2985, 1100, 2339, 875, 519, 17404, 2242, 519, 3561, 781, 2990, 267, 9319, 6959, 950, 2502, 538, 1271, 1382, 563, 29241, 513, 3561, 609, 20396, 454, 2691, 19696, 8100, 267, 596, 1058, 849, 13712, 519, 20396, 952, 519, 2376, 814, 835, 269, 1403, 707, 11239, 23988, 1281, 711, 1331, 11298, 3674, 267, 596, 949, 13712, 519, 20396, 3095, 563, 23077, 3674, 1450, 4977, 14327, 267, 2087, 4081, 9115, 4296, 267, 543, 1450, 3755, 547, 2744, 1732, 1995, 2066, 1114, 5867, 269, 17497, 267, 972, 616, 811, 982, 476, 3583, 2929, 11298, 3674, 10805, 585, 4081, 9115, 269, 1403, 596, 1616, 547, 1174, 811, 827, 20396, 267, 5225, 3643, 2011, 16951, 20396, 32310, 5236, 376, 486, 8222, 269, 1515, 16951, 2593, 5236, 376, 487, 476, 25707, 19764, 369, 417, 379, 501, 14395, 493, 2073, 27587, 20180, 528, 16088, 30522, 367, 18809, 23946, 367, 454, 419, 373, 479, 421, 360, 498, 18809, 24757, 20396, 16088, 476, 1015, 269, 277, 4097, 273, 270, 18199, 308, 1708, 1911, 280, 866, 454, 268, 476, 962, 269, 16441, 267, 570, 269, 17578, 2967, 267, 808, 269, 17578, 2967, 543, 570, 269, 29399, 267, 834, 288, 476, 4343, 8566, 13703, 5174, 663, 5295, 2549, 680, 8595, 609, 1323, 11530, 2776, 1673, 626, 10407, 585, 476, 8182, 271, 5336, 13703, 28298, 17020, 12296, 476, 5038, 29841, 4456, 5508, 19699, 3525, 4327, 28686, 2437, 476, 1001, 280, 20959, 631, 22721, 4149, 4139, 12130, 992, 1511, 32600, 630, 296, 5960, 1070, 11785, 267, 10790, 267, 7330, 267, 476, 1001, 280, 267, 6032, 269, 476, 24374, 268, 25628, 563, 268, 476, 808, 269, 6931, 267, 962, 269, 6931, 267, 962, 269, 670, 338, 26820, 543, 670, 269, 15651, 267, 834, 288, 918, 1532, 663, 22155, 2861, 1379, 24582, 609, 476, 2190, 269, 275, 1673, 289, 332, 3977, 1379, 543, 476, 2764, 260, 13698, 292, 538, 476, 3445, 5991, 332, 18328, 5308, 2029, 2437, 476, 1001, 278, 20959, 631, 22721, 4149, 4139, 12130, 992, 1511, 32600, 630, 296, 5960, 1070, 12968, 565, 565, 340, 267, 31254, 267, 7330, 267, 476, 1001, 278, 267, 6032, 269, 476, 4029, 268, 4097, 563, 268, 476, 962, 269, 18681, 543, 623, 269, 28574, 320, 1068, 267, 834, 288, 1164, 3887, 11797, 5276, 1379, 24582, 585, 476, 2764, 294, 13703, 5985, 10618, 538, 476, 2412, 333, 332, 18328, 5308, 2437, 476, 1001, 278, 20959, 15571, 22039, 21091, 27989, 32600, 630, 27184, 2975, 1070, 12968, 565, 21343, 267, 31254, 267, 7330, 267, 476, 1001, 278, 267, 6032, 269, 476, 3451, 268, 3607, 563, 268, 476, 918, 269, 15616, 836, 267, 570, 269, 17578, 2967, 267, 594, 269, 29399, 267, 808, 269, 17578, 2967, 543, 570, 269, 29399, 267, 834, 288, 476, 2767, 8566, 13703, 17992, 518, 9122, 5295, 2549, 680, 8595, 609, 476, 276, 1724, 269, 279, 2173, 310, 270, 7825, 273, 19243, 5295, 25670, 543, 476, 2412, 269, 278, 260, 30078, 13698, 292, 538, 476, 272, 13305, 476, 2764, 5991, 332, 18328, 5308, 2437, 1001, 280, 20959, 631, 22721, 4149, 4139, 12130, 992, 1511, 32600, 630, 296, 5960, 1070, 11785, 267, 10790, 267, 7330, 267, 476, 1001, 280, 267, 6032, 269, 476, 12553, 274, 268, 12553, 277, 563, 268, 476, 590, 269, 1744, 752, 756, 267, 631, 269, 4432, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1103, 16951, 2510, 3144, 676, 3127, 454, 268, 4139, 9891, 19137, 630, 26721, 264, 529, 606, 19710, 540, 811, 982, 476, 14338, 2477, 15748, 676, 3127, 267, 1034, 540, 873, 1373, 24106, 2477, 267, 799, 9114, 2901, 4625, 610, 14356, 1063, 519, 570, 22241, 540, 9435, 543, 519, 570, 22241, 540, 7167, 878, 1941, 269, 634, 3119, 6662, 568, 547, 960, 585, 3608, 14226, 540, 3859, 1648, 563, 268, 2817, 11162, 5794, 5358, 630, 10998, 4338, 2567, 634, 2229, 9250, 12135, 4338, 267, 547, 10994, 2810, 2011, 5533, 269, 634, 12135, 4338, 786, 581, 513, 4571, 3856, 267, 2947, 4458, 2962, 1544, 609, 476, 1001, 280, 607, 519, 1101, 1032, 269, 634, 1292, 2832, 540, 519, 10872, 1131, 581, 476, 736, 268, 1789, 260, 5786, 540, 6751, 273, 269, 276, 543, 6751, 1015, 5834, 676, 476, 1708, 275, 563, 268, 4210, 778, 327, 32038, 520, 2806, 6062, 5984, 534, 568, 513, 3084, 5859, 676, 519, 2229, 547, 2973, 10754, 267, 9897, 543, 5989, 540, 519, 2197, 563, 268, 623, 2784, 7315, 31615, 686, 772, 329, 329, 342, 8403, 962, 19390, 3570, 568, 513, 1847, 547, 4228, 700, 22333, 4276, 1851, 6917, 4057, 543, 3976, 6971, 7622, 2011, 5533, 543, 14014, 1072, 267, 3226, 540, 2021, 563, 268, 23996, 23663, 281, 769, 1931, 547, 2569, 5434, 543, 2759, 4492, 20558, 267, 519, 2229, 568, 9140, 476, 1015, 267, 1822, 6007, 14617, 6517, 689, 570, 1092, 7763, 832, 543, 10067, 785, 571, 1299, 10067, 785, 571, 547, 5372, 8891, 1503, 543, 667, 19342, 6517, 563, 268, 17778, 941, 3144, 547, 3356, 2509, 7598, 519, 476, 10711, 271, 12676, 294, 9072, 269, 12655, 4886, 17644, 630, 16256, 19199, 264, 616, 16529, 2518, 1646, 3853, 602, 2232, 1883, 3344, 540, 8471, 1134, 5630, 2066, 1114, 8739, 20300, 267, 2686, 267, 10923, 15523, 543, 11753, 519, 2804, 267, 1514, 543, 2825, 7516, 540, 1646, 269, 0, 23895, 14896, 622, 4563, 3778, 13600, 609, 513, 8342, 5517, 540, 519, 10432, 2336, 14937, 3778, 13600, 8342, 5517, 2336, 12441, 596, 917, 888, 298, 600, 8403, 20831, 729, 4535, 5239, 476, 736, 267, 476, 3422, 275, 267, 538, 18718, 1633, 4993, 269, 2701, 568, 513, 10927, 540, 20999, 2160, 543, 540, 519, 2160, 540, 4993, 267, 670, 770, 902, 5441, 540, 4521, 269, 21470, 5518, 20831, 568, 606, 1977, 22267, 543, 18607, 267, 7674, 607, 519, 476, 5392, 628, 13030, 7022, 540, 519, 2136, 2276, 269, 2701, 568, 519, 2136, 2276, 685, 1101, 4775, 13030, 7022, 267, 519, 5207, 8573, 21403, 4775, 4013, 538, 772, 2529, 269, 1686, 267, 543, 519, 1101, 3979, 1977, 543, 1101, 7489, 1977, 13030, 7022, 269, 13405, 547, 713, 267, 1352, 6039, 607, 513, 2136, 2276, 6845, 1807, 689, 4993, 689, 476, 1001, 278, 547, 476, 1708, 272, 543, 607, 519, 18607, 2489, 540, 4993, 689, 476, 1001, 272, 547, 476, 1001, 278, 269, 5556, 17894, 267, 21919, 8403, 20831, 2336, 19688, 476, 866, 267, 476, 275, 281, 876, 268, 276, 281, 876, 6751, 25280, 15012, 8331, 2549, 525, 12751, 26831, 3220, 269, 15243, 28137, 543, 1010, 2319, 547, 1451, 827, 634, 18171, 1841, 540, 6611, 13488, 269, 11374, 1010, 6881, 267, 5171, 786, 723, 519, 4316, 585, 513, 1627, 26031, 269, 28805, 616, 3908, 267, 865, 5225, 2507, 3367, 811, 454, 328, 4041, 4696, 19903, 2120, 25943, 3427, 786, 2594, 543, 1867, 20343, 1759, 593, 1007, 1533, 9086, 3823, 3845, 1565, 269, 901, 1797, 649, 786, 12927, 20343, 6788, 543, 3950, 3232, 20343, 543, 7589, 540, 782, 6267, 269, 21673, 725, 1331, 1739, 8655, 16131, 609, 7589, 2507, 3367, 811, 454, 2171, 8910, 899, 547, 30603, 938, 4316, 547, 2671, 938, 18371, 2146, 693, 1775, 4041, 4696, 19903, 2120, 676, 22745, 519, 968, 2171, 17214, 898, 892, 1788, 269, 7490, 1224, 2630, 585, 3877, 593, 875, 707, 1920, 666, 3565, 547, 519, 5691, 11812, 269, 1284, 1616, 547, 19542, 2507, 3367, 811, 0, 2005, 4667, 602, 782, 540, 519, 28456, 3937, 616, 12155, 547, 519, 1034, 2442, 1966, 602, 17617, 21905, 1419, 2014, 267, 519, 1719, 2557, 2986, 4165, 643, 21905, 630, 305, 269, 772, 332, 269, 589, 269, 3738, 610, 968, 1692, 1419, 568, 621, 2556, 547, 4647, 28456, 18767, 286, 9232, 1907, 563, 1432, 3123, 713, 21898, 16341, 12835, 286, 898, 568, 2965, 10416, 513, 22245, 602, 949, 5781, 2995, 596, 1175, 875, 1082, 2053, 789, 723, 547, 4647, 5818, 707, 28456, 31554, 269, 769, 5168, 267, 519, 2557, 540, 17617, 21905, 602, 596, 1590, 4647, 568, 8200, 593, 1082, 2188, 269, 589, 1906, 540, 891, 1331, 519, 2450, 540, 707, 7193, 267, 519, 5665, 1062, 543, 519, 2179, 540, 3156, 602, 596, 4867, 723, 1305, 909, 563, 763, 2557, 540, 17617, 21905, 596, 991, 547, 4647, 568, 4749, 6027, 538, 7643, 269, 901, 568, 2944, 676, 476, 272, 560, 10992, 519, 11941, 538, 707, 19766, 7473, 2207, 269, 1403, 972, 568, 519, 835, 602, 596, 1810, 1406, 917, 267, 596, 666, 2356, 1205, 713, 1344, 689, 6513, 19937, 10624, 269, 8921, 267, 1118, 946, 540, 968, 15507, 892, 1599, 543, 1883, 538, 519, 2012, 540, 519, 28456, 3354, 3301, 1982, 269, 634, 1985, 5123, 568, 547, 1930, 519, 5468, 10624, 2899, 1586, 543, 4945, 593, 519, 968, 28723, 892, 7735, 547, 1450, 621, 547, 7369, 930, 11941, 538, 1931, 547, 6430, 519, 2557, 540, 17617, 21905, 602, 596, 723, 547, 4647, 563, 5278, 28456, 3301, 3292, 616, 3622, 2966, 609, 513, 3476, 2557, 540, 17617, 21905, 602, 786, 1118, 621, 9875, 585, 519, 12835, 607, 707, 4357, 269, 2368, 1004, 3494, 602, 621, 568, 30414, 519, 4090, 741, 18453, 18767, 14578, 2196, 1310, 1896, 3108, 540, 3668, 540, 3635, 563, 5475, 513, 1978, 1974, 540, 942, 267, 519, 10605, 540, 17617, 21905, 786, 3787, 676, 3787, 979, 1524, 543, 2490, 883, 1447, 13542, 727, 269, 901, 568, 2523, 3020, 538, 2013, 519, 3292, 596, 616, 4867, 1210, 616, 9090, 711, 11630, 547, 519, 4161, 269, 634, 15864, 1259, 547, 1439, 713, 568, 998, 519, 946, 540, 606, 18453, 8851, 1544, 799, 786, 2638, 856, 707, 7193, 543, 4368, 1022, 6959, 621, 949, 1331, 269, 6271, 1505, 568, 547, 4894, 1022, 3292, 602, 616, 5665, 593, 707, 7193, 799, 666, 581, 5732, 5739, 547, 707, 1062, 563, 3725, 3517, 1946, 519, 1719, 2557, 540, 17617, 21905, 616, 5781, 4657, 568, 1813, 547, 519, 1259, 519, 28456, 3498, 568, 5116, 269, 1677, 948, 519, 7311, 547, 3142, 909, 547, 4266, 3294, 267, 621, 786, 11179, 13182, 952, 596, 786, 1265, 1022, 1007, 8290, 1373, 5950, 269, 1403, 519, 12526, 621, 568, 3843, 547, 8190, 3294, 1318, 689, 568, 3773, 267, 621, 786, 991, 547, 2638, 593, 547, 1294, 952, 519, 21777, 4528, 1369, 519, 3644, 1185, 1044, 22434, 563, 10214, 1498, 519, 681, 269, 772, 269, 589, 269, 12835, 568, 24858, 267, 621, 568, 2965, 606, 1898, 1907, 5497, 585, 4180, 602, 707, 15291, 610, 2780, 568, 9856, 539, 1996, 519, 1034, 909, 547, 4266, 6937, 269, 1369, 519, 4950, 269, 1635, 17034, 28456, 6030, 593, 513, 2834, 4493, 267, 707, 26099, 786, 581, 2111, 547, 2697, 543, 9004, 519, 3463, 543, 4894, 621, 1175, 1354, 621, 949, 3441, 707, 2123, 2780, 563, 2414, 4368, 519, 1966, 593, 707, 1378, 267, 596, 666, 2196, 513, 1062, 1572, 606, 4165, 643, 6400, 8827, 269, 1717, 2073, 713, 5650, 786, 2154, 596, 917, 4010, 1018, 476, 2568, 538, 1931, 547, 1118, 946, 540, 621, 3927, 269, 1677, 581, 2111, 547, 4368, 519, 1966, 609, 713, 1907, 267, 649, 1631, 723, 1336, 602, 519, 1655, 4781, 568, 2141, 547, 4647, 513, 4096, 762, 1036, 3588, 18274, 518, 1576, 971, 607, 3204, 290, 675, 799, 568, 5827, 547, 7816, 519, 6959, 593, 707, 1062, 609, 1100, 4929, 15042, 2042, 547, 707, 2780, 563, 8794, 513, 2780, 1036, 3588, 15777, 3498, 568, 1898, 547, 6061, 519, 1966, 602, 3123, 519, 681, 269, 744, 269, 589, 269, 12835, 593, 707, 18376, 269, 589, 2780, 1036, 3588, 15777, 568, 2877, 547, 11571, 998, 519, 8837, 2780, 1036, 3588, 6538, 543, 4368, 519, 8697, 610, 8697, 6119, 799, 1522, 581, 3330, 621, 267, 1818, 621, 2009, 585, 707, 2780, 547, 960, 7363, 2899, 1586, 563, 763, 5600, 9486, 1036, 3588, 568, 1500, 909, 540, 782, 540, 519, 3681, 543, 3681, 585, 707, 15291, 269, 898, 568, 1175, 1141, 1034, 540, 519, 9867, 5468, 786, 581, 6854, 8924, 7666, 728, 5816, 585, 519, 1114, 3292, 593, 707, 2780, 1062, 269, 898, 568, 849, 538, 799, 519, 15055, 540, 713, 3644, 5563, 543, 6959, 616, 6854, 269, 1879, 513, 2780, 568, 1210, 513, 8697, 9786, 9486, 1036, 3588, 267, 707, 2123, 2780, 666, 581, 13587, 1882, 883, 3206, 602, 621, 814, 513, 3390, 543, 1376, 547, 1397, 606, 5470, 2495, 971, 607, 968, 7312, 2780, 1281, 711, 723, 2614, 3965, 892, 538, 1931, 547, 2965, 2488, 513, 2603, 540, 1100, 1942, 2230, 563, 8802, 3588, 2973, 619, 616, 513, 1259, 547, 4368, 12303, 1022, 8697, 5468, 602, 616, 3330, 519, 8837, 1036, 3588, 267, 6721, 707, 2780, 2111, 547, 2196, 3362, 1586, 269, 1358, 616, 3006, 5227, 585, 519, 2601, 602, 519, 1655, 1259, 547, 4194, 519, 7984, 269, 744, 269, 589, 269, 12835, 3390, 563, 2467, 616, 513, 2603, 540, 1036, 3588, 2645, 2139, 593, 519, 4950, 267, 855, 1175, 513, 1906, 786, 960, 5393, 3927, 693, 19620, 519, 8297, 1441, 6119, 540, 707, 9757, 1036, 3588, 269, 634, 5354, 540, 1036, 3588, 2973, 619, 666, 2973, 2429, 519, 4102, 1992, 629, 331, 1006, 540, 8837, 2042, 267, 4758, 596, 476, 272, 2063, 4316, 547, 1832, 707, 1982, 2922, 543, 547, 4368, 12303, 1022, 6959, 596, 1522, 723, 269, 0, 13436, 2055, 609, 2147, 4267, 1705, 711, 2491, 1946, 649, 2877, 547, 946, 2680, 15518, 566, 609, 2614, 8856, 269, 11524, 1767, 621, 729, 2877, 585, 1310, 3561, 4452, 630, 2254, 2141, 3020, 1070, 543, 1866, 1767, 2141, 547, 946, 621, 630, 2254, 2141, 1040, 901, 568, 519, 1152, 11807, 7778, 607, 547, 950, 1547, 517, 3890, 1590, 581, 1031, 3079, 540, 1547, 28781, 3890, 910, 950, 707, 667, 6865, 2609, 596, 2219, 707, 2621, 941, 3808, 547, 1100, 3476, 563, 1805, 871, 3683, 6503, 585, 30581, 568, 513, 4357, 267, 5150, 5544, 585, 596, 543, 707, 32283, 619, 547, 1265, 543, 2671, 1344, 269, 6258, 811, 1547, 795, 5226, 2044, 1547, 517, 3890, 4945, 2680, 711, 20590, 269, 9105, 7726, 18542, 476, 278, 1296, 267, 476, 275, 3275, 3516, 269, 15765, 476, 278, 1296, 267, 476, 275, 3275, 3516, 269, 7348, 539, 476, 1428, 330, 2053, 476, 275, 269, 476, 272, 269, 594, 6415, 2324, 593, 513, 3896, 799, 10525, 2621, 5196, 513, 4786, 269, 1879, 519, 3593, 11876, 951, 936, 606, 2680, 7903, 11017, 267, 513, 1907, 339, 760, 9623, 6885, 10525, 543, 563, 4692, 4896, 2995, 803, 519, 1697, 2621, 547, 12622, 1354, 10912, 513, 1547, 28781, 593, 513, 7735, 286, 594, 723, 6836, 513, 1906, 630, 339, 1136, 10372, 689, 3105, 9708, 593, 519, 3135, 454, 1805, 871, 3683, 6503, 585, 30581, 568, 513, 4357, 267, 5150, 5544, 585, 596, 543, 707, 32283, 619, 547, 1265, 543, 2671, 1344, 269, 6258, 811, 1547, 795, 638, 2044, 910, 8437, 2680, 711, 2324, 585, 29858, 2813, 7735, 1496, 706, 12393, 316, 9105, 7726, 18542, 476, 277, 1296, 267, 476, 275, 3275, 3516, 269, 15765, 476, 274, 1296, 267, 476, 279, 3275, 3516, 269, 7348, 539, 476, 7176, 330, 2053, 476, 10170, 269, 476, 736, 269, 901, 2243, 2907, 814, 4267, 1934, 281, 7926, 11006, 593, 29858, 2813, 2609, 286, 630, 2537, 4267, 563, 763, 4945, 2680, 568, 1152, 15427, 1310, 713, 3169, 3126, 540, 2621, 281, 634, 10856, 7735, 568, 20158, 1247, 519, 24072, 568, 3330, 519, 3693, 269, 634, 10856, 7735, 568, 5950, 1247, 519, 24072, 568, 3330, 519, 3693, 269, 901, 568, 2356, 519, 5551, 5311, 1354, 2921, 606, 2962, 269, 1403, 713, 568, 711, 2838, 267, 519, 544, 748, 539, 1144, 610, 10856, 1575, 2680, 949, 581, 811, 5078, 454, 3008, 303, 12991, 4953, 1280, 4548, 1315, 4937, 6789, 303, 12991, 4953, 1315, 795, 5226, 2044, 585, 519, 6789, 303, 12991, 4953, 3763, 518, 1315, 2638, 7901, 4945, 2680, 711, 20590, 2638, 7901, 4945, 2680, 711, 20590, 1496, 9172, 26833, 316, 681, 7704, 476, 277, 4562, 773, 454, 4002, 513, 6049, 543, 666, 1405, 2638, 713, 4628, 267, 855, 513, 269, 9594, 786, 711, 798, 4010, 519, 1482, 3364, 607, 606, 4890 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6637, 476, 1015, 281, 12124, 1436, 543, 7073, 1436, 538, 5824, 3013, 692, 5970, 596, 2479, 4862, 540, 519, 2165, 834, 333, 792, 3333, 1681, 22172, 3143, 286, 5213, 1405, 5855, 256, 1284, 786, 1451, 827, 621, 1927, 269, 1809, 1101, 267, 1577, 721, 2951, 1394, 538, 942, 547, 1174, 875, 930, 4872, 538, 5824, 3013, 723, 4957, 936, 519, 1296, 1813, 547, 20012, 543, 30222, 780, 5331, 6972, 998, 519, 10754, 540, 11370, 523, 657, 589, 2231, 267, 18335, 267, 538, 519, 3735, 476, 5197, 271, 338, 269, 1411, 1131, 1294, 1507, 15945, 267, 7504, 1286, 17699, 267, 543, 25865, 4565, 9693, 9897, 269, 3767, 3728, 4464, 547, 2221, 910, 1018, 798, 596, 1589, 596, 1522, 1294, 3079, 286, 4787, 903, 322, 1905, 619, 8757, 909, 547, 5905, 519, 12269, 267, 6517, 1990, 6235, 676, 267, 543, 2413, 5656, 7555, 7381, 543, 10583, 256, 901, 7004, 568, 1572, 20012, 910, 950, 4872, 1332, 543, 1020, 6385, 780, 6624, 2188, 3565, 547, 20012, 267, 971, 607, 1732, 2816, 3255, 267, 4824, 6283, 1949, 267, 543, 1569, 547, 2069, 269, 1306, 811, 1004, 1847, 883, 4872, 5275, 891, 2640, 267, 1007, 16973, 1402, 909, 267, 543, 4872, 1831, 1256, 8273, 543, 1668, 1512, 269, 3683, 942, 267, 4872, 1376, 547, 9772, 2413, 4066, 543, 2853, 267, 3056, 547, 30222, 780, 3086, 267, 2469, 1394, 547, 938, 3312, 2243, 267, 1018, 1281, 683, 6702, 1681, 1611, 4010, 286, 14033, 3333, 1681, 4016, 547, 24574, 1359, 609, 7404, 2477, 585, 1978, 2533, 267, 899, 5663, 610, 6075, 1489, 269, 1280, 1383, 267, 513, 2754, 1759, 538, 519, 2136, 2276, 666, 960, 609, 513, 15231, 2197, 267, 899, 6792, 267, 3079, 540, 2469, 28870, 1472, 519, 1158, 547, 1776, 2197, 630, 7474, 781, 1572, 1055, 3333, 1681, 1040, 1635, 7446, 547, 683, 6702, 648, 267, 789, 4324, 689, 1373, 538, 2147, 942, 10851, 267, 4687, 2686, 2418, 267, 543, 2348, 2539, 3790, 780, 4131, 781, 946, 513, 1483, 3734, 9183, 547, 9414, 1946, 513, 772, 2529, 11607, 22372, 2754, 1522, 1616, 547, 2015, 683, 6702, 1681, 538, 5824, 3013, 269, 5994, 596, 2196, 513, 10509, 23492, 538, 28541, 9503, 267, 4993, 269, 2659, 2319, 1568, 689, 476, 280, 7537, 547, 476, 276, 6751, 7414, 5384, 269, 1403, 707, 6075, 3028, 941, 1759, 538, 3127, 267, 1141, 972, 568, 513, 1713, 942, 3017, 267, 20547, 2152, 3544, 540, 2834, 1870, 3108, 1223, 1711, 17799, 543, 1860, 6075, 9547, 269, 1717, 267, 952, 596, 1185, 513, 6075, 1489, 4099, 538, 22728, 28573, 267, 799, 8843, 513, 2147, 942, 7997, 267, 5466, 6075, 4145, 3587, 18334, 543, 4443, 2094, 1312, 6887, 616, 2324, 8195, 780, 12234, 267, 1705, 596, 917, 602, 930, 5824, 1977, 2477, 267, 899, 24861, 543, 28130, 267, 946, 519, 772, 2529, 269, 667, 20683, 607, 741, 4013, 9304, 286, 2334, 2306, 3257, 1870, 1063, 891, 2477, 12863, 1317, 972, 781, 1100, 991, 547, 5385, 19728, 610, 4308, 609, 11385, 908, 5385, 3928, 269, 9578, 267, 4074, 543, 10512, 9276, 4043, 547, 581, 1447, 7199, 538, 5824, 3013, 3379, 547, 519, 772, 2529, 1421, 3246, 2417, 1942, 9806, 780, 15563, 267, 1810, 1405, 7340, 827, 519, 3638, 1686, 543, 3309, 4529, 1336, 2429, 5824, 3013, 256, 4658, 2713, 538, 891, 2477, 3622, 2972, 2178, 4296, 547, 1920, 1272, 267, 2575, 267, 1148, 267, 5026, 267, 543, 4984, 269, 1452, 1455, 8017, 948, 6536, 6793, 3347, 1063, 6887, 689, 1114, 2477, 269, 2060, 865, 1082, 1064, 14476, 267, 621, 781, 2653, 547, 1294, 1946, 4213, 3442, 547, 683, 6702, 648, 538, 5824, 3013, 780, 2026, 596, 666, 2995, 267, 20012, 543, 30222, 1404, 2629, 5107, 538, 5935, 5824, 3013, 781, 2104, 269, 3245, 14297, 1558, 1886, 565, 2478, 5356, 5863, 4876, 7399, 547, 14762, 12352, 1063, 15231, 2477, 267, 972, 781, 2141, 1945, 4241, 8345, 1934, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 301, 792, 3333, 1681, 538, 5824, 3013, 454, 31142, 3013, 1011, 3941, 609, 7524, 1004, 267, 4778, 267, 24462, 267, 543, 8916, 269, 634, 3148, 14405, 5001, 14666, 543, 8075, 835, 6361, 8584, 29292, 8134, 282, 855, 621, 849, 814, 606, 5051, 1790, 641, 983, 7485, 593, 3811, 16904, 3168, 547, 4228, 741, 4238, 269, 14033, 3333, 1681, 538, 5824, 3013, 1797, 2324, 609, 2477, 538, 519, 1482, 942, 10851, 607, 2475, 268, 543, 8225, 2861, 3549, 267, 3850, 3486, 6887, 547, 7500, 796, 16442, 1229, 1282, 3838, 2324, 3108, 269, 19452, 267, 519, 9304, 538, 1082, 4678, 8649, 6082, 568, 2965, 519, 2475, 13362, 267, 1247, 2199, 11615, 616, 1869, 1454, 14949, 982, 1346, 540, 741, 3345, 1977, 12543, 563, 4322, 5383, 1700, 2059, 609, 513, 1164, 1620, 540, 1870, 2528, 543, 7839, 17117, 540, 519, 2296, 1893, 1700, 2327, 602, 713, 19251, 611, 5744, 3148, 849, 2488, 4213, 609, 803, 8615, 268, 7349, 720, 563, 1103, 713, 2376, 267, 649, 1491, 513, 6251, 1413, 693, 476, 275, 540, 519, 1655, 2477, 538, 5824, 3013, 585, 683, 6702, 1681, 563, 2791, 949, 849, 899, 281, 14033, 3333, 1681, 5288, 5510, 3333, 1681, 1107, 5606, 690, 571, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 5824, 3013, 1315, 4937, 1315, 12124, 1436, 543, 7073, 1436, 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 ]
[ 26658, 2160, 267, 594, 628, 20403, 267, 7330, 454, 10527, 11271, 616, 1134, 2966, 547, 1683, 519, 1655, 2139, 1344, 593, 8733, 4702, 2221, 267, 543, 519, 1433, 2882, 513, 2143, 7156, 540, 2009, 2318, 543, 2942, 4205, 609, 16220, 22041, 7031, 269, 3267, 901, 1433, 568, 267, 4061, 267, 10950, 543, 12905, 3034, 300, 4768, 714, 1470, 717, 14529, 1961, 26152, 267, 2160, 540, 22087, 7699, 267, 7977, 630, 292, 19223, 543, 5980, 642, 269, 1015, 1100, 269, 272, 267, 476, 1220, 275, 994, 2108, 295, 1301, 517, 2358, 6694, 2853, 543, 9962, 5726, 540, 7786, 568, 513, 1883, 3390, 585, 519, 2104, 269, 901, 1134, 3812, 2182, 3724, 1433, 9727, 13134, 540, 519, 3356, 1500, 267, 28837, 5693, 519, 9962, 9270, 3238, 267, 543, 2982, 602, 1082, 540, 519, 2853, 2731, 2048, 1740, 685, 538, 7693, 4027, 3034, 15045, 1715, 267, 5487, 18858, 2041, 2160, 267, 15117, 630, 22711, 540, 24538, 11094, 642, 269, 280, 1100, 269, 272, 476, 1220, 276, 994, 10527, 1433, 568, 2653, 547, 1224, 543, 568, 8476, 676, 15826, 11049, 540, 519, 4320, 269, 1280, 1383, 267, 2500, 3444, 26159, 1063, 11271, 2337, 547, 12927, 6402, 543, 7413, 17279, 269, 2560, 786, 17216, 3565, 547, 8733, 1620, 543, 519, 6454, 540, 11641, 2359, 3034, 27746, 5685, 26792, 5937, 2292, 267, 3427, 540, 6715, 13577, 10334, 267, 2160, 540, 24368, 630, 288, 14094, 17905, 642, 269, 1789, 1100, 269, 276, 4119, 476, 1220, 276, 994, 21893, 1433, 786, 6318, 4656, 540, 519, 991, 547, 1020, 3235, 10999, 3280, 543, 4264, 8715, 611, 1108, 585, 11641, 2359, 2507, 1898, 2542, 585, 3025, 3238, 538, 519, 1646, 543, 6388, 540, 5521, 1852, 4066, 538, 6683, 1701, 7233, 10466, 22588, 569, 5292, 269, 2641, 263, 275, 1070, 476, 1220, 277, 454, 10481, 4752, 717, 584, 337, 814, 5249, 14916, 538, 11641, 2359, 538, 6628, 543, 5245, 269, 1261, 1631, 9843, 1382, 693, 519, 2160, 540, 17638, 779, 20513, 540, 22798, 5004, 543, 10974, 519, 2022, 12392, 1576, 538, 12655, 11982, 269, 3571, 1699, 1382, 7710, 519, 10626, 540, 8733, 1702, 585, 811, 2500, 543, 4264, 2030, 4027, 269, 1261, 5713, 593, 519, 21107, 12545, 540, 2185, 13746, 543, 814, 3370, 811, 982, 29235, 22275, 539, 4574, 543, 1433, 11271, 607, 1134, 607, 1071, 24737, 1746, 519, 1433, 18143, 6513, 281, 21474, 540, 11773, 609, 19378, 654, 7806, 1084, 563, 17556, 557, 654, 7806, 1084, 568, 7905, 540, 17905, 693, 12493, 2160, 267, 1715, 10215, 267, 543, 6250, 1746, 7905, 693, 519, 2160, 540, 17638, 269, 1261, 814, 3812, 811, 982, 476, 4968, 22275, 539, 12326, 267, 1519, 3670, 2835, 543, 811, 982, 476, 2568, 1433, 11271, 543, 8039, 267, 543, 568, 593, 519, 21107, 12545, 540, 5216, 3486, 13746, 269, 3571, 1292, 1699, 1382, 1719, 568, 519, 19349, 540, 2048, 1815, 4722, 2533, 685, 593, 3484, 1633, 267, 538, 1880, 519, 6454, 540, 6211, 1852, 540, 10860, 3842, 519, 11865, 540, 27536, 4199, 24307, 585, 11975, 543, 8934, 527, 6950, 563, 300, 580, 3241, 589, 16816, 1512, 328, 814, 1044, 606, 29436, 1815, 1108, 7548, 693, 519, 2160, 540, 4993, 20588, 585, 936, 476, 736, 1296, 269, 1261, 29377, 3450, 543, 1382, 538, 4993, 267, 2342, 543, 5824, 3013, 17935, 693, 519, 1646, 540, 3235, 10999, 1759, 11641, 2359, 1949, 269, 3571, 1292, 1935, 3322, 8840, 519, 1395, 665, 11857, 2470, 540, 29436, 1815, 4722, 338, 998, 19015, 540, 6198, 9265, 269, 20353, 3241, 16816, 1512, 328, 568, 2278, 540, 811, 982, 476, 1220, 3621, 4574, 543, 814, 849, 2854, 476, 1321, 2835, 1519, 3397, 549, 1815, 1108, 281, 634, 3163, 540, 12655, 11982, 543, 26085, 543, 28814, 5004, 538, 3397, 549, 1815, 4722, 338, 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 ]
[ 269, 4793, 540, 513, 4015, 540, 1863, 9251, 543, 9656, 2979, 3211, 689, 918, 276, 269, 12315, 1453, 513, 9543, 4367, 547, 1840, 609, 948, 689, 713, 2241, 1840, 4976, 563, 8245, 2952, 1293, 519, 6802, 9469, 543, 2328, 519, 1297, 538, 519, 4216, 516, 701, 520, 609, 519, 1985, 18061, 1287, 1039, 909, 1312, 25985, 540, 6802, 9469, 849, 1390, 585, 3450, 875, 547, 1039, 593, 547, 1205, 519, 2698, 269, 3938, 17940, 540, 918, 276, 4804, 269, 4804, 12408, 676, 3168, 693, 519, 2698, 1297, 540, 4672, 8645, 5961, 543, 9427, 519, 3283, 602, 616, 4963, 743, 539, 563, 3849, 1288, 666, 1491, 1747, 538, 865, 1082, 2081, 543, 519, 1883, 547, 3478, 1453, 547, 9787, 621, 568, 547, 2253, 609, 2241, 2238, 540, 8380, 1927, 9838, 3688, 269, 1809, 950, 646, 4422, 856, 540, 2259, 646, 1522, 7340, 519, 2241, 3364, 1932, 269, 15206, 18827, 547, 476, 276, 6096, 21584, 4518, 1504, 901, 7824, 23519, 3568, 513, 4015, 540, 476, 5038, 7792, 1840, 3211, 585, 23021, 543, 563, 2690, 811, 2241, 1840, 3211, 1118, 2386, 547, 2638, 856, 891, 269, 0, 1692, 798, 594, 1376, 513, 4874, 322, 11857, 3484, 888, 1692, 547, 7233, 513, 12443, 322, 11857, 454, 268, 24619, 476, 274, 547, 476, 276, 6279, 540, 11003, 593, 519, 3037, 563, 268, 16340, 4751, 5452, 540, 2234, 880, 267, 546, 650, 267, 16163, 2917, 543, 1585, 19997, 16719, 538, 2038, 5614, 563, 268, 3399, 22648, 1098, 17852, 563, 268, 29553, 519, 2234, 8460, 950, 789, 616, 1804, 2614, 547, 3548, 267, 4358, 827, 476, 275, 4374, 689, 9544, 563, 1432, 568, 519, 1655, 1383, 540, 4874, 322, 11857, 888, 288, 1134, 8153, 1383, 540, 8978, 4874, 322, 11857, 568, 519, 17685, 549, 6137, 540, 22959, 267, 10365, 267, 543, 23601, 2371, 538, 513, 1895, 1419, 5219, 547, 607, 968, 1492, 1614, 19946, 9731, 1692, 798, 594, 1895, 5388, 538, 1250, 4677, 888, 2005, 15565, 602, 596, 7941, 7031, 883, 2185, 1292, 2516, 607, 5205, 281, 6181, 6979, 630, 321, 2313, 10365, 267, 17112, 267, 15393, 10365, 267, 3376, 10365, 5148, 3597, 5388, 630, 2784, 880, 267, 31577, 267, 15837, 267, 22323, 267, 13342, 267, 14043, 267, 678, 583, 629, 15676, 267, 6653, 15837, 267, 4927, 1824, 5148, 21364, 16719, 630, 4944, 514, 778, 267, 669, 731, 267, 25989, 267, 22648, 267, 28471, 31884, 267, 22282, 267, 22156, 5148, 543, 4829, 24481, 263, 6693, 1432, 568, 519, 3017, 1063, 4874, 322, 11857, 543, 7989, 20628, 888, 335, 8432, 322, 11857, 269, 21091, 543, 5214, 2853, 4125, 1210, 1114, 2371, 593, 519, 1482, 4729, 936, 942, 630, 8527, 566, 1040, 2201, 519, 824, 1688, 267, 7989, 20628, 13290, 547, 1413, 811, 899, 2470, 676, 2348, 1896, 2010, 540, 2371, 1927, 693, 519, 1482, 942, 563, 1432, 616, 519, 931, 540, 4874, 322, 11857, 888, 763, 3844, 17498, 728, 540, 4874, 322, 11857, 568, 519, 1297, 540, 1852, 2152, 513, 16027, 814, 936, 519, 7031, 269, 9521, 513, 2582, 4729, 540, 2244, 1141, 835, 7693, 1131, 1332, 267, 4874, 322, 11857, 814, 835, 4729, 540, 2244, 1141, 2789, 2371, 1223, 1332, 563, 3674, 621, 1732, 547, 2030, 513, 1395, 665, 11857, 610, 606, 4874, 322, 11857, 888, 1103, 4334, 547, 1395, 665, 30743, 1141, 513, 2582, 7693, 568, 6738, 267, 4874, 322, 30743, 540, 1079, 610, 811, 7031, 6738, 1927, 666, 723, 1082, 2640, 269, 11660, 2090, 723, 3254, 602, 3395, 538, 4874, 322, 30743, 666, 281, 6399, 7031, 616, 1447, 11630, 547, 11641, 543, 3676, 269, 12315, 3152, 7607, 543, 2804, 20656, 563, 1432, 568, 7693, 10047, 543, 4874, 322, 11857, 888, 12507, 665, 11857, 281, 513, 2582, 7693, 12630, 936, 513, 2647, 1858, 269, 12443, 322, 11857, 281, 513, 21318, 540, 1114, 7031, 6738, 593, 513, 2016, 1163, 534, 572, 540, 2244, 267, 2901, 998, 7693, 10047, 610, 9544, 9343, 540, 1114, 7031, 2427, 8386, 20933, 269, 3040, 21964, 5567, 267, 2230, 267, 543, 1648, 538, 513, 7059, 6073, 563, 1432, 5388, 899, 547, 581, 12630, 1927, 888, 2419, 691, 540, 12518, 602, 6145, 1299, 5213, 1406, 6145, 19663, 8625, 454, 347, 309, 1122, 564, 762, 1475, 299, 10105, 19663, 2060, 1475, 11514, 331, 10105, 19663, 2060, 2008, 347, 4131, 21949, 1475, 10111, 12783, 267, 7101, 880, 267, 853, 3863, 11241, 267, 2142, 1115, 1475, 6826, 753, 267, 29807, 2917, 2008, 347, 4002, 687, 1475, 29662, 19233, 267, 16410, 12237, 267, 2913, 21949, 267, 8751, 10633, 1475, 6826, 753, 267, 3212, 553, 2008, 347, 8248, 553, 1475, 6826, 753, 267, 2961, 12783, 267, 12397, 267, 595, 1075, 3784, 1475, 4002, 542, 267, 12275, 997, 2008, 347, 8248, 13827, 1475, 25402, 10633, 267, 29807, 2917, 267, 29092, 267, 2961, 12783, 1475, 293, 3317, 601, 2008, 1432, 5388, 798, 711, 1332, 1134, 1927, 888, 8448, 4122, 5156, 2030, 22424, 520, 4850, 1331, 519, 1739, 2371, 547, 2057, 2282, 835, 1776, 912, 268, 631, 842, 543, 19637, 1141, 607, 32651, 568, 3395, 563, 268, 24504, 10365, 543, 28401, 2282, 581, 1115, 563, 268, 1323, 1047, 543, 546, 650, 15231, 17436, 563, 268, 595, 1075, 3784, 267, 22481, 267, 2234, 880, 267, 30011, 267, 23601, 267, 610, 14274, 2673, 547, 15837, 15113, 563, 3674, 4874, 322, 11857, 8105, 4264, 888, 29209, 8397, 1395, 665, 11857, 8105, 949, 1267, 538, 513, 1804, 7274, 540, 3132, 267, 855, 621, 666, 581, 5739, 547, 519, 1604, 543, 519, 1426, 6738, 1419, 19330, 2298, 269, 2201, 519, 14669, 267, 4874, 322, 11857, 8105, 3091, 513, 4264, 1259, 547, 1332, 513, 3099, 540, 1114, 1426, 593, 519, 1482, 4062, 540, 2244, 593, 513, 1454, 4130, 4336, 563, 1432, 616, 519, 5294, 540, 4874, 322, 11857, 8105, 888, 19119, 540, 12443, 322, 11857, 281, 3040, 19102, 1162, 9265, 269, 13661, 1734, 3037, 1072, 269, 26332, 7149, 8093, 1922, 3241, 18168, 543, 13851, 269, 8871, 4925, 2973, 1216, 2196, 1055, 563, 1432, 568, 4874, 5186, 6137, 888, 763, 957, 540, 4874, 5186, 6137, 568, 519, 1523, 540, 3395, 1079, 610, 811, 7031, 693, 835, 942, 547, 7556, 269, 1703, 616, 2789, 2640, 547, 713, 4480, 1519, 281, 25841, 13226, 946, 630, 15290, 835, 7693, 568, 513, 1850, 2541, 1040, 14451, 5916, 7443, 829, 23505, 982, 1395, 665, 11857, 7031, 269, 0, 19859, 13060, 616, 1360, 3309, 269, 19452, 267, 519, 3676, 602, 789, 2014, 616, 1175, 607, 3309, 2336, 1103, 713, 4901, 267, 649, 786, 2263, 930, 540, 519, 17973, 602, 2014, 1480, 2068, 543, 519, 1560, 1949, 789, 1860, 563, 2691, 513, 3461, 11394, 1072, 1416, 1317, 789, 616, 2192, 267, 789, 4766, 741, 2589, 547, 519, 1072, 1416, 11832, 267, 543, 519, 1072, 1416, 11832, 5531, 338, 6662, 4191, 540, 2068, 269, 8625, 267, 891, 1291, 721, 547, 513, 2068, 6794, 540, 835, 540, 519, 2101, 1560, 1949, 912, 18204, 2163, 776, 3590, 543, 28438, 454, 25205, 26210, 543, 700, 8233, 1738, 7010, 454, 1607, 3018, 267, 649, 786, 1865, 930, 1455, 1480, 13596, 543, 519, 3676, 789, 2014, 2336, 26073, 4094, 547, 1865, 281, 11330, 542, 756, 1461, 1756, 1035, 5886, 454, 7312, 4901, 1058, 581, 1134, 27787, 267, 538, 707, 1378, 1913, 267, 22950, 337, 2084, 689, 1152, 23674, 4081, 2959, 269, 1411, 949, 711, 2047, 10839, 689, 707, 2959, 267, 5934, 11840, 566, 593, 519, 1888, 540, 513, 5934, 540, 476, 4968, 1913, 543, 5021, 540, 476, 6110, 1913, 563, 2791, 1590, 849, 13712, 707, 23674, 4081, 4704, 2959, 609, 2385, 16375, 538, 1257, 14327, 267, 543, 1683, 2407, 1439, 1201, 1344, 538, 14905, 476, 278, 628, 9990, 3898, 563, 3963, 7994, 2974, 454, 268, 476, 1911, 260, 1875, 13807, 698, 3511, 1242, 14430, 454, 268, 476, 2190, 270, 278, 1315, 18458, 6796, 12232, 454, 268, 32285, 31245, 454, 268, 7102, 7433, 267, 7984, 11765, 267, 543, 13595, 454, 268, 4024, 2347, 707, 4574, 538, 476, 277, 3108, 454, 268, 2201, 6066, 24822, 454, 268, 14559, 25746, 543, 21041, 18715, 454, 268, 1133, 15905, 2549, 754, 906, 2390, 7662, 454, 268, 9045, 529, 8351, 10018, 454, 1692, 621, 3718, 454, 268, 8437, 593, 519, 968, 20278, 11352, 892, 9184, 693, 519, 1283, 10624, 610, 968, 24576, 3767, 892, 12835, 693, 519, 5377, 543, 513, 1007, 2985, 786, 2408, 609, 606, 1931, 1106, 547, 581, 4904, 563, 268, 19130, 538, 707, 1957, 779, 4170, 538, 519, 834, 303, 4338, 2207, 667, 4953, 288, 6579, 306, 257, 3296, 563, 268, 19130, 538, 707, 1957, 779, 4081, 1377, 267, 21120, 267, 543, 519, 2838, 1297, 540, 3817, 689, 519, 6749, 16365, 27487, 563, 268, 8437, 968, 290, 3918, 12442, 8028, 4596, 7419, 307, 1299, 590, 22218, 5442, 892, 547, 4283, 707, 14261, 3877, 543, 1205, 606, 2272, 609, 721, 585, 2594, 268, 15209, 543, 1287, 267, 4945, 593, 968, 24165, 4753, 3633, 9215, 595, 4047, 290, 298, 27345, 892, 693, 519, 5377, 540, 519, 2985, 563, 268, 3245, 972, 267, 519, 8569, 6810, 786, 1397, 267, 1246, 519, 11461, 8569, 1184, 543, 707, 1931, 786, 581, 2139, 585, 938, 1603, 2319, 547, 960, 593, 621, 269, 0, 2005, 6087, 513, 1268, 547, 5581, 267, 1711, 543, 1832, 519, 6538, 543, 1683, 6417, 1569, 593, 621, 269, 589, 6538, 568, 513, 1895, 540, 3710, 2987, 1239, 10710, 1927, 547, 4196, 513, 1297, 540, 3252, 269, 589, 10626, 1982, 11438, 856, 513, 3099, 540, 519, 1455, 11645, 267, 6466, 1210, 513, 26099, 1062, 563, 1692, 1082, 2010, 540, 1062, 3301, 1982, 616, 972, 888, 21902, 3301, 568, 540, 1614, 2101, 2010, 2433, 21952, 1062, 269, 5678, 16267, 269, 7780, 1006, 3301, 1982, 563, 5278, 540, 891, 1357, 14078, 1185, 1044, 2923, 543, 1543, 3549, 602, 1031, 3009, 607, 519, 5420, 269, 12846, 267, 1866, 723, 1044, 1055, 22745, 3638, 3681, 602, 8057, 547, 581, 552, 19645, 267, 1514, 2923, 267, 519, 4687, 2883, 1062, 267, 543, 1256, 6531, 2861, 7384, 269, 11192, 2324, 4747, 585, 3301, 1646, 543, 26099, 3028, 6080, 6603, 1269, 9262, 269, 22764, 5479, 538, 476, 1001, 280, 267, 909, 476, 1691, 269, 273, 260, 689, 476, 1001, 279, 269, 634, 5665, 8907, 540, 1346, 6080, 814, 1044, 8375, 14320, 5488, 982, 519, 8225, 2804, 1062, 2094, 476, 1001, 274, 267, 543, 891, 6080, 941, 519, 1034, 1271, 3318, 7426, 16108, 538, 476, 1001, 280, 269, 29922, 519, 1697, 15409, 2780, 585, 596, 2115, 547, 15475, 827, 711, 1152, 519, 29476, 602, 596, 723, 547, 946, 513, 26099, 585, 267, 855, 10123, 707, 1880, 6752, 543, 1935, 585, 707, 15938, 2090, 563, 5591, 5359, 540, 2656, 6937, 855, 267, 2705, 14135, 779, 14590, 2754, 814, 9783, 606, 28007, 7747, 585, 2199, 14540, 547, 24772, 741, 2228, 2553, 543, 16102, 741, 1702, 1996, 1761, 6880, 6285, 269, 634, 2160, 540, 22598, 24947, 519, 16285, 267, 3338, 267, 12583, 267, 4654, 267, 1344, 2409, 267, 543, 4529, 540, 3689, 8315, 267, 631, 18863, 529, 543, 27478, 6082, 269, 6423, 579, 531, 828, 3279, 269, 517, 1492, 327, 889, 2593, 585, 31680, 3301, 1982, 2139, 547, 2852, 1053, 269, 15439, 2322, 267, 26099, 3744, 13498, 875, 7384, 1568, 543, 666, 1711, 3301, 610, 8924, 602, 666, 948, 2312, 909, 2152, 563, 2304, 3301, 949, 581, 1582, 8410, 22633, 267, 610, 621, 1223, 581, 513, 19619, 540, 3156, 602, 2196, 519, 7311, 585, 519, 7082, 269, 6201, 540, 4207, 3252, 9784, 9036, 647, 2572, 267, 12449, 3301, 1982, 267, 12240, 543, 6538, 2359, 15004, 267, 4950, 26292, 267, 2262, 21932, 267, 3301, 6454, 2645, 267, 3239, 15769, 543, 2792, 5867, 269, 6258, 519, 13654, 5759, 585, 3301, 10626, 6454, 269, 901, 1576, 568, 2966, 547, 5965, 1053, 585, 1010, 610, 1200, 26885, 1982, 2619, 269, 634, 26386, 540, 6176, 5303, 543, 17402, 1576, 6227, 2035, 547, 1450, 21711, 538, 6176, 5303, 2073, 513, 21711, 602, 519, 2817, 3194, 7027, 15109, 606, 2556, 851, 540, 519, 1272, 17489, 1565, 1576, 540, 563, 25413, 2264, 12618, 590, 22563, 454, 6624, 3549, 3343, 8668, 4648, 609, 5916, 610, 20718, 5578, 4559, 269, 589, 2034, 2629, 1616, 568, 585, 2462, 267, 3818, 20204, 267, 4909, 2257, 3292, 2813, 585, 2870, 1804, 8397, 966, 19324, 269, 7351, 21274, 538, 15291, 2257, 2079, 7616, 616, 585, 1507, 2852, 1382, 14828, 609, 513, 6093, 2450, 540, 5111, 1269, 6110, 267, 1822, 936, 1614, 1296, 563, 19350, 649, 17412, 519, 6240, 1459, 2029, 543, 14222, 2152, 593, 713, 2230, 269, 962, 1752, 10230, 11673, 540, 2623, 267, 789, 20866, 1810, 1406, 2097, 2673, 547, 10198, 519, 2115, 540, 966, 19324, 269, 769, 4702, 2259 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6092, 5149, 281, 4197, 27391, 531, 19098, 692, 8702, 547, 938, 1576, 782, 827, 18513, 8051, 256, 1411, 949, 581, 11842, 1018, 18513, 8051, 1256, 1797, 269, 4270, 267, 1577, 803, 2995, 596, 1107, 621, 779, 899, 5329, 3950, 540, 2724, 267, 855, 3079, 540, 621, 1373, 585, 1175, 835, 1268, 610, 1920, 267, 621, 779, 585, 606, 3003, 4884, 610, 2749, 256, 3807, 899, 875, 596, 723, 547, 4688, 909, 27108, 547, 4444, 602, 1007, 3381, 3014, 596, 1616, 267, 4872, 991, 547, 1832, 3950, 540, 741, 2724, 547, 1628, 11614, 267, 4368, 9897, 267, 543, 1683, 824, 2533, 585, 922, 4961, 269, 1924, 267, 1577, 779, 4685, 883, 519, 1158, 540, 18513, 8051, 2439, 5575, 1055, 267, 1577, 779, 2911, 827, 1018, 606, 2272, 656, 1281, 269, 5994, 952, 596, 1185, 513, 2462, 6477, 4445, 4871, 1141, 596, 6854, 782, 519, 2724, 585, 707, 2898, 8378, 269, 1809, 3079, 540, 1175, 21177, 11113, 538, 8164, 596, 5433, 899, 621, 267, 596, 2877, 547, 1832, 3950, 540, 1169, 29784, 4947, 538, 543, 2469, 856, 269, 2334, 779, 1018, 606, 2272, 656, 1281, 585, 513, 29109, 1107, 789, 2594, 543, 10891, 782, 519, 2724, 4947, 538, 689, 1919, 899, 9204, 267, 12375, 267, 543, 22717, 267, 543, 782, 519, 2724, 2469, 856, 547, 2628, 585, 1919, 899, 23269, 267, 20848, 267, 543, 11731, 780, 3086, 267, 4952, 596, 4941, 547, 2638, 952, 707, 7023, 267, 6004, 269, 9652, 267, 729, 8380, 538, 1010, 4023, 2671, 540, 2724, 883, 519, 2146, 6477, 4445, 4871, 269, 1306, 606, 2272, 656, 267, 596, 1131, 1413, 693, 519, 5638, 540, 782, 519, 2724, 646, 779, 6976, 543, 5635, 621, 547, 1018, 646, 7640, 525, 1759, 593, 1010, 3959, 1871, 267, 2450, 540, 1010, 1920, 267, 3092, 269, 901, 1184, 568, 1572, 606, 968, 7596, 527, 1848, 10748, 1080, 948, 2327, 3025, 568, 7700, 741, 4023, 2671, 543, 602, 519, 2724, 568, 1373, 7307, 19100, 780, 9202, 909, 267, 649, 723, 1945, 1572, 968, 27665, 532, 14908, 1848, 1452, 5749, 1406, 899, 6808, 14908, 1141, 596, 5951, 1142, 824, 998, 28963, 282, 789, 2461, 2965, 8815, 5346, 517, 2081, 547, 798, 1978, 4247, 538, 8051, 269, 1280, 1383, 267, 950, 14045, 799, 8852, 979, 883, 799, 6688, 267, 972, 616, 1808, 3652, 547, 1246, 865, 602, 3388, 13978, 6896, 543, 2312, 269, 6056, 540, 621, 899, 12180, 707, 9162, 1310, 4730, 1107, 596, 9327, 1406, 2322, 2962, 5515, 538, 609, 707, 11015, 4773, 267, 1318, 286, 6684, 267, 2272, 1218, 946, 14908, 547, 30387, 1114, 2010, 540, 8852, 8308, 780, 3383, 1631, 602, 649, 917, 945, 2272, 1218, 616, 543, 1018, 789, 798, 267, 1577, 779, 2263, 1946, 18513, 8051, 568, 2629, 585, 938, 2950, 269, 1635, 5883, 7482, 3927, 267, 25772, 666, 1902, 538, 5989, 267, 2069, 267, 1857, 3106, 267, 543, 811, 269, 898, 779, 1898, 585, 11413, 1932, 1107, 676, 6029, 4961, 4010, 1141, 741, 3454, 9489, 616, 2469, 267, 3972, 543, 6015, 538, 2199, 2229, 666, 1332, 780, 2414, 2285, 596, 513, 1732, 2856, 540, 875, 713, 1568, 267, 4605, 707, 554, 32528, 16462, 547, 1628, 513, 6216, 20642, 25920, 335, 1046, 269, 14559, 585, 971, 3785, 2356, 2501, 689, 1585, 2959, 267, 1519, 9204, 267, 14828, 267, 543, 2508, 24597, 2621, 269, 10055, 1218, 5402, 6895, 891, 19670, 7482, 1247, 849, 9477, 9276, 1644, 547, 1374, 267, 4070, 2326, 267, 4074, 3790, 267, 543, 14998, 269, 3414, 12001, 8989, 267, 7264, 666, 1294, 10502, 875, 741, 7418, 941, 1031, 543, 1491, 11348, 538, 741, 21743, 1007, 25920, 335, 1046, 780, 1103, 5758, 267, 1620, 18513, 8051, 2337, 721, 5660, 875, 938, 10034, 543, 4872, 1599, 20019, 269, 3245, 30190, 2272, 1218, 10916, 1169, 11834, 547, 5693, 4843, 5359, 3850, 4961, 547, 3251, 5483, 267, 713, 2361, 4249, 513, 4105, 1909, 538, 5935, 14762, 2950, 269, 1656, 945, 6487, 267, 6148, 835, 1554, 9358, 1223, 1831, 513, 18513, 2272, 656, 267, 4180, 707, 1378, 554, 32528, 814, 519, 2200, 621, 2115, 547, 21707, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10908, 27443, 540, 6355, 543, 12525, 16301, 454, 6524, 596, 2119, 547, 1205, 707, 1870, 543, 9204, 538, 1931, 267, 621, 781, 1271, 547, 581, 5432, 609, 519, 2930, 3822, 596, 786, 2097, 2066, 538, 713, 3896, 543, 538, 519, 2883, 1158, 269, 2422, 713, 29395, 540, 1870, 543, 3454, 2474, 547, 4217, 596, 593, 707, 1259, 547, 1870, 7924, 563, 2704, 8224, 673, 1592, 540, 2474, 596, 1522, 2097, 2066, 563, 8923, 8074, 602, 930, 540, 891, 2474, 616, 689, 519, 2871, 5875, 2465, 11565, 19098, 3794, 27443, 1496, 4178, 3052, 340, 5875, 2465, 16691, 269, 5633, 316, 543, 616, 10677, 539, 547, 918, 288, 13317, 630, 303, 1399, 264, 13456, 454, 3722, 7563, 910, 5948, 540, 15873, 1229, 26133, 10055, 1218, 269, 8940, 269, 3147, 320, 3820, 269, 5633, 454, 28398, 656, 910, 589, 1268, 7255, 609, 519, 5826, 543, 20894, 540, 1870, 6589, 543, 519, 7041, 540, 22639, 5359, 538, 3454, 543, 8804, 563, 28398, 532, 910, 634, 5578, 610, 2259, 540, 4509, 543, 2912, 1746, 6589, 543, 8600, 5359, 593, 519, 7221, 267, 20824, 267, 4747, 267, 9276, 543, 2883, 2990, 540, 513, 1870, 563, 28398, 532, 14908, 910, 1323, 8051, 5650, 1031, 1217, 958, 269, 2334, 568, 267, 606, 8051, 15007, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 10129, 531, 19098, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 19098, 1315, 6554, 531, 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, 7201, 17231, 519, 1025, 5074, 11335, 3141, 267, 519, 14297, 19458, 540, 5204, 2350, 2224, 751, 14855, 609, 1272, 269, 8585, 577, 1218, 689, 2066, 519, 1634, 1158, 10356, 1934, 267, 6537, 676, 519, 9153, 540, 19311, 9388, 543, 2686, 5385, 269, 7324, 873, 729, 606, 2025, 4936, 911, 1457, 3957, 13198, 857, 639, 267, 945, 1185, 6170, 5756, 21986, 532, 891, 7297, 269, 3571, 28594, 541, 1194, 3946, 16004, 15266, 547, 9118, 8852, 267, 1247, 1010, 8325, 4064, 14406, 4986, 780, 2026, 646, 1202, 4624, 513, 11127, 540, 10153, 1161, 267, 513, 1762, 8004, 14059, 1864, 269, 2701, 20595, 513, 2241, 7113, 545, 855, 5645, 9887, 609, 15683, 2484, 3564, 1200, 1296, 269, 4173, 4158, 4552, 22107, 12184, 1524, 1200, 17525, 267, 25194, 10347, 2934, 24188, 540, 519, 5065, 24558, 559, 2103, 780, 257, 294, 22901, 902, 267, 9632, 2437, 1352, 1767, 28663, 267, 6367, 532, 5594, 269, 834, 300, 697, 594, 1719, 596, 538, 930, 16678, 14546, 689, 1250, 22657, 12482, 299, 18676, 639, 6743, 909, 267, 27278, 269, 834, 8489, 616, 596, 689, 267, 1126, 12482, 257, 10111, 628, 720, 267, 27205, 3010, 3891, 21330, 267, 24330, 269, 2961, 628, 698, 15687, 5370, 941, 3810, 8179, 1310, 1813, 547, 741, 11108, 2298, 269, 1809, 972, 729, 1945, 811, 827, 713, 8004, 1862, 31138, 602, 8913, 13949, 693, 1010, 8823, 269, 1261, 6594, 1200, 3068, 5702, 1354, 20185, 546, 1177, 2740, 2390, 1864, 780, 257, 2791, 1862, 9767, 7618, 803, 540, 2576, 2437, 646, 9597, 332, 3293, 267, 4503, 538, 2219, 269, 834, 288, 4807, 689, 1279, 3516, 907, 3010, 763, 8004, 21266, 1540, 1200, 2212, 2243, 5944, 269, 834, 8005, 267, 27205, 12482, 299, 18676, 639, 521, 19042, 8185, 267, 11291, 532, 11213, 8823, 1732, 2451, 16618, 269, 834, 15463, 2012, 729, 9894, 334, 269, 10348, 540, 2961, 628, 720, 269, 589, 13085, 6205, 267, 25343, 676, 1082, 1862, 10175, 8885, 3010, 257, 10190, 1946, 1281, 707, 3159, 2303, 6382, 8119, 519, 8004, 4280, 8049, 569, 780, 299, 18676, 639, 17328, 4310, 267, 11018, 1010, 4555, 269, 901, 7012, 1405, 513, 6643, 646, 5497, 547, 723, 267, 2523, 711, 1934, 9624, 533, 11538, 10772, 269, 8616, 267, 1945, 25997, 1864, 547, 3136, 269, 12344, 621, 729, 519, 22880, 19969, 10630, 538, 519, 8004, 781, 2620, 1606, 564, 4064, 267, 8272, 337, 1681, 519, 4262, 3294, 780, 257, 10303, 938, 1004, 10032, 1200, 338, 2437, 646, 21334, 539, 23900, 269, 834, 2171, 14564, 530, 3042, 2112, 1996, 2961, 628, 720, 267, 9141, 676, 26846, 543, 20440, 269, 1284, 14616, 1200, 2749, 267, 1793, 4381, 1229, 1200, 1004, 267, 543, 7142, 1200, 883, 24815, 269, 2353, 1317, 649, 21787, 1200, 1379, 543, 3310, 3010, 763, 8004, 19557, 18906, 1947, 267, 21716, 1169, 2262, 269, 1879, 13198, 857, 639, 8737, 6340, 267, 1352, 7283, 14980, 585, 513, 4090, 267, 1287, 12038, 32444, 569, 780, 257, 4517, 1631, 267, 7507, 6763, 7381, 1247, 2961, 628, 720, 6013, 12617, 9944, 5070, 543, 21219, 269, 1772, 602, 1018, 596, 1289, 11802, 12482, 15463, 1913, 588, 2426, 899, 6070, 538, 606, 1930, 10138, 267, 16550, 13198, 857, 639, 547, 13720, 519, 15280, 5168, 269, 11569, 267, 1018, 1705, 789, 1289, 1412, 341, 1112, 800, 262, 950, 621, 3357, 693, 971, 513, 14427, 3902, 286, 1215, 1082, 2729, 1185, 1044, 8297, 1441, 267, 875, 1454, 2528, 2144, 1078, 267, 3274, 1317, 835, 10340, 546, 1563, 547, 4161, 1776, 2496, 4537, 2586, 267, 13198, 857, 639, 11751, 519, 14546, 267, 5356, 519, 8004, 513, 4023, 3902, 269, 1306, 1352, 15336, 2476, 267, 646, 14478, 1200, 14897, 1851, 519, 15624, 267, 6028, 3297, 29886, 2055, 543, 13943, 4267, 780, 2690, 5553, 267, 24558, 1176, 1185, 1044, 513, 13621, 1494, 540, 4529, 267, 1142, 8744, 8521, 741, 2189, 5389, 267, 4978, 267, 9342, 910, 543, 12755, 269, 898, 6039, 607, 1312, 513, 8115, 543, 513, 25071, 267, 5807, 9316, 543, 4655, 7567, 269, 1656, 1498, 12959, 986, 3022, 543, 23693, 8593, 267, 519, 6532, 28815, 267, 12946, 7198, 547, 8103, 781, 2781, 553, 6804, 4783, 540, 2208, 543, 9178, 780, 2026, 1000, 559, 697, 26731, 936, 5204, 2350, 2224, 267, 16213, 28608, 20224, 936, 25865, 4565, 9693, 10754, 267, 13198, 857, 639, 7691, 602, 713, 6263, 1179, 330, 540, 2244, 4371, 4245, 2484, 3152, 982, 1022, 24271, 656, 850, 11834, 269, 3371, 2482, 8941, 540, 17636, 543, 13357, 267, 2648, 543, 2530, 267, 9322, 543, 6498, 910, 30172, 540, 519, 2250, 22090, 27128, 7326, 585, 1346, 8348, 547, 6432, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 22081, 814, 24558, 1176, 781, 4087, 693, 519, 3444, 30030, 540, 519, 11335, 12936, 922, 1686, 543, 4123, 1894, 2429, 25196, 543, 3564, 888, 306, 545, 1176, 781, 7580, 4087, 693, 519, 4099, 540, 519, 11335, 7256, 814, 5129, 513, 2629, 1909, 538, 519, 6532, 781, 1686, 543, 4123, 1894, 2429, 25196, 543, 3564, 269, 634, 6532, 814, 1044, 513, 3444, 30030, 540, 1114, 4529, 543, 12977, 267, 799, 723, 2451, 741, 1665, 593, 24558, 1176, 781, 6189, 267, 1148, 267, 1893, 267, 543, 11951, 780, 306, 545, 1176, 781, 4087, 1500, 621, 513, 10375, 13398, 585, 4123, 1063, 2342, 267, 4000, 267, 543, 519, 5101, 267, 4611, 538, 513, 1713, 2179, 540, 2686, 5385, 936, 519, 5553, 269, 634, 21265, 5974, 267, 16380, 267, 14564, 267, 966, 663, 1023, 267, 18031, 656, 1149, 267, 29240, 267, 11870, 753, 267, 543, 5053, 782, 5293, 998, 1934, 267, 7700, 547, 519, 6532, 781, 10477, 3575, 540, 2686, 2609, 780, 1103, 3504, 2053, 267, 24558, 1176, 729, 513, 1713, 2707, 540, 10568, 543, 824, 1426, 560, 32332, 585, 519, 4478, 4525, 267, 543, 922, 4087, 1500, 621, 513, 2442, 3247, 1478, 585, 9635, 593, 1279, 16831, 1137, 269, 4438, 519, 5664, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3556, 8945, 1568, 2496, 2162, 595, 7342, 9315, 570, 4459, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 22013, 697, 707, 2828, 609, 713, 524, 7342, 8945, 256, 2052, 596, 2491, 875, 621, 1568, 2496, 2162, 717, 5588, 8668, 3767, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 2690, 713, 4161, 267, 596, 3513, 991, 547, 1404, 20944, 898, 256, 2052, 596, 2491, 519, 4640, 585, 10888, 713, 3014, 609, 1022, 3077, 2496, 2162, 31315, 3213, 2812, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1607, 4161, 12134, 596, 547, 4952, 513, 13131, 1071, 4979, 593, 3294, 780, 2162, 681, 2100, 4223, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1692, 1082, 1298, 22015, 637, 540, 18052, 786, 594, 991, 547, 1118, 1776, 1319, 1175, 899, 519, 835, 594, 723, 1934, 2496, 2162, 2859, 18903, 8000, 1154, 2701, 1091, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 763, 1297, 540, 2371, 538, 6004, 17755, 2958, 528, 781, 9059, 29238, 8774, 4679, 16074, 269, 1261, 9364, 899, 547, 2322, 519, 1482, 1297, 540, 2371, 538, 1142, 540, 1010, 10651, 267, 9544, 835, 4677, 1142, 1554, 269, 1215, 666, 646, 798, 621, 2496, 2162, 12338, 621, 4934, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 4692, 596, 26819, 606, 31164, 6906, 883, 476, 277, 4130, 3283, 286, 1548, 1297, 540, 4130, 31164, 12730, 568, 621, 10691, 2009, 547, 26819, 513, 3677, 31164, 6906, 883, 2496, 2162, 715, 574, 268, 278, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 4692, 596, 960, 856, 875, 547, 3094, 713, 3014, 540, 715, 574, 286, 6496, 621, 2339, 952, 596, 979, 1101, 610, 2034, 2496, 2162, 8844, 513, 26969, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1692, 666, 596, 6582, 891, 476, 1015, 13292, 538, 2185, 25985, 865, 602, 950, 596, 1847, 835, 6474, 689, 1614, 540, 519, 25985, 883, 519, 8772, 267, 596, 1439, 909, 609, 519, 1482, 11460, 2496, 2162, 10266, 1540, 28116, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 5331, 513, 1804, 13306, 1500, 689, 1507, 2699, 18695, 1373, 12628, 883, 513, 1494, 540, 5835, 5862, 269, 1215, 1082, 540, 519, 1507, 18695, 786, 723, 5835, 5862, 593, 741, 8188, 2496, 2162, 29838, 338, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1692, 1082, 7575, 1281, 621, 1491, 547, 23396, 936, 930, 2699, 543, 4544, 20883, 286, 1684, 596, 723, 513, 1505, 2496, 2162, 8285, 932, 4377, 919, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1692, 1223, 623, 10154, 267, 8751, 543, 15623, 960, 856, 875, 1082, 669, 4377, 919, 972, 616, 538, 1114, 21092, 10833, 2496, 2162, 5455, 543, 13560, 853, 1515, 322, 1162, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 3080, 3625, 568, 2877, 547, 1118, 606, 909, 7146, 16365, 25047, 13826, 267, 609, 835, 1900, 909, 543, 835, 1900, 1524, 269, 1215, 1082, 7161, 1131, 581, 2877, 547, 1628, 606, 909, 7146, 16365, 25047, 13826, 609, 476, 276, 3268, 909, 543, 476, 276, 3268, 1524, 2496, 2162, 595, 7572, 6511, 790, 14339, 338, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 4322, 10945, 723, 1044, 1500, 689, 595, 7572, 6511, 790, 22203, 269, 2052, 596, 4766, 519, 4806, 286, 1548, 1131, 519, 1985, 4009, 1413, 899, 2496, 2162, 11625, 1005, 12384, 10606, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 306, 13645, 2338, 666, 581, 6719, 607, 519, 2040, 540, 15654, 9642, 2338, 269, 1548, 568, 519, 2040, 540, 476, 272, 1341, 476, 274, 1341, 10371, 1862, 1341, 476, 14983, 1341, 476, 14681, 1341, 476, 14631, 2496, 2162, 21094, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2252, 596, 666, 5299, 513, 3060, 1510, 17666, 707, 4050, 1055, 519, 1957, 543, 1510, 5373, 1022, 1899, 7466, 267, 1287, 621, 568, 21986, 762, 269, 32341, 799, 540, 891, 12222, 616, 21986, 762, 780, 2162, 1548, 10606, 2052, 1284, 5269, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 5331, 649, 723, 2185, 11435, 5627, 513, 1804, 1297, 540, 476, 272, 338, 267, 476, 275, 338, 267, 476, 278, 338, 543, 476, 1015, 338, 269, 1548, 2338, 666, 649, 1118, 2496, 2162, 3733, 10973, 14986, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 8196, 519, 14318, 547, 948, 596, 960, 856, 875, 1082, 3515, 616, 2877, 547, 2721, 7793, 545, 24712, 540, 1114, 7306, 780, 2162, 21121, 18237, 16365, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 8196, 519, 2170, 2032, 547, 8495, 1018, 5686, 540, 12730, 666, 581, 6537, 593, 890, 326, 12545, 609, 1114, 2338, 540, 890, 7714, 780, 2162, 9612, 532, 585, 6399, 263, 532, 2020, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 5331, 596, 723, 513, 1804, 3761, 540, 476, 274, 11899, 543, 476, 279, 11899, 12035, 269, 1215, 1082, 540, 1142, 2597, 1131, 596, 991, 585, 519, 3328, 630, 11743, 264, 540, 519, 12035, 547, 581, 476, 277, 11899, 286, 1548, 824, 25939, 1223, 596, 723, 2496, 2162, 7981, 590, 4548, 543, 15733, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 8340, 930, 1806, 540, 8424, 540, 2338, 971, 602, 741, 2040, 568, 513, 3815, 540, 741, 1587, 269, 19838, 269, 476, 275, 1341, 476, 1321, 815, 476, 1626, 543, 476, 275, 6398, 476, 1321, 815, 476, 4366, 543, 476, 1626, 568, 513, 3815, 540, 476, 4366, 269, 0, 9943, 454, 7462, 623, 12195, 11473, 700, 624, 999, 630, 1015, 7325, 476, 1708, 271, 2020, 303, 12195, 11473, 700, 624, 999, 8720, 17224, 19392, 267, 4937, 11310, 267, 13437, 267, 25561, 1108, 1656, 32522, 616, 1631, 2139, 998, 938, 3896, 1294, 4395, 2985, 585, 3877, 780, 9943, 8080, 547, 519, 8713, 299, 13437, 2243, 543, 2626, 8468, 269, 7490, 1745, 1863, 547, 2022, 707, 2055, 855, 811, 11932, 849, 2303, 4267, 585, 707, 8468, 9164, 269, 7585, 5128, 610, 835, 540, 519, 824, 21493, 786, 1205, 547, 707, 2243, 607, 4166, 607, 649, 666, 780, 1012, 31641, 1433, 3635, 2243, 692, 1892, 24762, 281, 476, 3066, 454, 1892, 11289, 596, 4607, 281, 476, 271, 692, 2162, 14076, 328, 2813, 519, 1888, 281, 31641, 1433, 3635, 2243, 692, 17098, 7585, 10484, 296, 1175, 3357, 2066, 713, 2243, 538, 11644, 476, 272, 269, 276, 538, 13526, 558, 766, 1433, 563, 763, 2604, 4463, 568, 910, 17734, 563, 763, 4959, 288, 2837, 1018, 594, 2219, 729, 476, 1428, 23444, 273, 265, 271, 269, 1839, 1916, 3719, 519, 4959, 288, 10917, 729, 7229, 607, 476, 1428, 266, 273, 265, 271, 269, 276, 454, 296, 993, 513, 3787, 11821, 1934, 269, 2052, 596, 5225, 948, 803, 1205, 1472, 713, 269, 21115, 839, 14653, 7923, 780, 12552, 2676, 305, 1690, 328, 454, 7462, 5900, 778, 906, 1384, 8923, 8298, 538, 610, 8073, 606, 2272, 547, 6443, 519, 6643, 780, 1892, 24762, 281, 476, 3393, 275, 454, 1892, 11289, 596, 4607, 281, 476, 4792, 692, 2162, 26573, 570, 7159, 14452, 519, 1888, 281, 31641, 1433, 3635, 2243, 692, 294, 9364, 599, 14076, 328, 454, 6546, 2243, 729, 513, 1462, 334, 538, 606, 2025, 1433, 519, 1699, 2243, 5654, 899, 713, 454, 7462, 5900, 778, 906, 1384, 8923, 8298, 538, 610, 8073, 606, 2272, 547, 6443, 519, 6643, 780, 1892, 24762, 281, 476, 18891, 272, 454, 1892, 11289, 596, 4607, 281, 476, 14444, 692, 2162, 27342, 3279, 527, 14452, 519, 1888, 281, 31641, 1433, 3635, 2243, 692, 9827, 267, 13288, 547, 707, 3312, 2243, 269, 1703, 814, 547, 581, 513, 3970, 547, 519, 4110, 540, 31992, 538, 891, 3871, 269, 594, 6415, 2386, 1256, 31909, 288, 1131, 3858, 269, 476, 272, 554, 25508, 585, 1169, 476, 1789, 1111, 568, 3294, 606, 19406, 865, 519, 7229, 2604, 4463, 540, 910, 17734, 1111, 568, 711, 2693, 547, 581, 3169, 269, 1284, 798, 5000, 1053, 547, 946, 519, 9819, 630, 6503, 5750, 264, 1505, 585, 606, 981, 1317, 621, 23352, 519, 7872, 540, 3765, 15105, 513, 4336, 593, 519, 2780, 543, 621, 781, 1175, 607, 942, 3608, 269, 31909, 288, 3398, 606, 2626, 1759, 593, 513, 8184, 2780, 799, 1131, 581, 24076, 2282, 602, 1377, 540, 6111, 780, 306, 675, 569, 267, 649, 616, 711, 2469, 547, 1376, 2324, 609, 8454, 540, 5232, 540, 2837, 269, 9122, 593, 519, 13429, 540, 476, 273, 4113, 829, 476, 1911, 271, 1111, 2837, 561, 8985, 2557, 267, 910, 17734, 1111, 1223, 581, 17031, 909, 547, 519, 14282, 476, 4335, 1111, 547, 2285, 606, 2626, 540, 476, 1428, 910, 476, 272, 815, 476, 1626, 4113, 269, 4634, 31909, 288, 3398, 602, 780, 8923, 8298, 538, 610, 8073, 606, 2272, 547, 6443, 519, 6643, 780, 1892, 24762, 281, 476, 3066, 454, 1892, 11289, 596, 4607, 281, 476, 271, 692, 2162, 14076, 328, 14452, 519, 1888, 281, 31641, 1433, 3635, 2243, 692, 12552, 513, 2603, 7585, 692, 8923, 8298, 538, 610, 8073, 606, 2272, 547, 6443, 519, 6643, 780, 1892, 24762, 281, 476, 3066, 454, 1892, 11289, 596, 4607, 281, 476, 271, 692, 2162, 14076, 328, 14452, 519, 1888, 281, 31641, 1433, 3635, 2243, 692, 12552, 513, 2603, 26573, 692, 8923, 8298, 538, 610, 8073, 606, 2272, 547, 6443, 519, 6643, 780, 1892, 24762, 281, 476, 274, 454, 1892, 11289, 596, 4607, 281, 476, 271, 692, 2162, 3943, 344, 11152, 14452, 519, 1888, 281, 31641, 1433, 3635, 2243, 692, 17098, 26573, 2676, 296, 4076, 3893, 519, 661, 1257, 585, 2773, 543, 519, 2243, 3085, 1406, 1294, 547, 581, 8242, 563, 7462, 5900, 778, 906, 1384, 8923, 8298, 538, 610, 8073, 606, 2272, 547, 6443, 519, 6643, 780, 11742, 547, 1711, 2985, 281, 476, 273, 269, 6021, 279, 7643, 0, 258, 3619, 25226, 2060, 8943, 6201, 692, 7883, 25226, 2060, 8943, 6201, 692, 14187, 1554, 267, 16921, 269, 769, 713, 2022, 267, 649, 3580, 1413, 693, 875, 547, 4194, 519, 3619, 25226, 5752, 11015, 780, 3499, 266, 453, 3849, 1091, 1079, 1766, 1343, 453, 288, 1341, 645, 3947, 476, 1789, 454, 268, 453, 8138, 339, 847, 338, 2034, 1766, 663, 689, 519, 1101, 453, 288, 910, 645, 3947, 910, 1015, 454, 265, 453, 25648, 18680, 1312, 1766, 1343, 453, 288, 2608, 645, 3947, 476, 1220, 454, 270, 453, 291, 1204, 525, 519, 19362, 676, 519, 14009, 269, 453, 289, 1315, 589, 3947, 476, 273, 454, 260, 453, 9556, 15252, 11346, 282, 3947, 519, 14230, 1310, 606, 8870, 6498, 269, 453, 289, 4939, 589, 3947, 476, 271, 454, 10030, 453, 19102, 618, 11346, 269, 898, 4679, 519, 8870, 1871, 676, 835, 269, 453, 288, 10030, 3947, 476, 1556, 454, 734, 453, 5719, 920, 618, 11346, 269, 898, 11081, 519, 8870, 1871, 676, 835, 269, 453, 288, 734, 3947, 476, 280, 7884, 2171, 4076, 3254, 875, 547, 946, 5752, 547, 4194, 519, 3619, 25226, 1966, 609, 513, 11739, 342, 540, 1806, 780, 1012, 1548, 616, 3619, 12427, 2496, 1103, 2780, 5752, 267, 606, 11346, 568, 513, 3090, 602, 15824, 4238, 593, 513, 1871, 610, 513, 4756, 269, 1280, 1383, 267, 1341, 568, 606, 11346, 602, 568, 1031, 547, 1039, 1079, 2338, 269, 3619, 5752, 2488, 513, 2647, 2039, 540, 12427, 602, 616, 19040, 883, 519, 1739, 2101, 6688, 281, 25226, 12427, 780, 1012, 1548, 1281, 2652, 1611, 538, 3619, 2496, 262, 2525, 21948, 22949, 1677, 264, 11346, 11974, 2436, 519, 1079, 2016, 1766, 1343, 616, 3160, 610, 711, 269, 1403, 865, 267, 621, 7024, 3020, 269, 19227, 267, 621, 7024, 7301, 269, 1280, 1383, 267, 476, 276, 2525, 276, 786, 2132, 3020, 269, 1556, 11219, 592, 268, 1708, 273, 692, 1012, 1215, 798, 649, 946, 2979, 538, 3619, 2496, 288, 796, 776, 6310, 4082, 5161, 540, 1152, 835, 5057, 610, 3693, 269, 769, 3619, 649, 666, 946, 519, 7132, 543, 14263, 4191, 607, 513, 2582, 3693, 19610, 609, 513, 1871, 547, 281, 2132, 519, 1871, 781, 3961, 630, 1341, 16532, 610, 1689, 519, 1129, 540, 519, 1871, 630, 1107, 15426, 2060, 513, 2942, 1871, 519, 7132, 1129, 7024, 519, 1482, 2942, 1871, 269, 1428, 5336, 599, 268, 1001, 280, 692, 1012, 1548, 1281, 26013, 1611, 538, 30110, 836, 2496, 257, 6889, 568, 7084, 267, 3286, 899, 824, 1893, 269, 26013, 568, 513, 11346, 1152, 960, 609, 8756, 267, 527, 1797, 2322, 610, 1205, 513, 5048, 689, 513, 8756, 269, 1839, 268, 12914, 268, 1001, 276, 692, 1012, 6496, 3619, 723, 519, 7790, 281, 11346, 2496, 1103, 1034, 540, 519, 5752, 4654, 267, 972, 568, 606, 11346, 630, 286, 281, 264, 1572, 512, 1716, 776, 11346, 799, 27786, 899, 606 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1870, 5443, 267, 543, 519, 1390, 12194, 540, 922, 12504, 787, 547, 4020, 3013, 779, 1101, 1016, 3118, 269, 9122, 538, 851, 593, 8935, 326, 4107, 779, 28601, 1875, 27395, 1433, 540, 519, 1482, 2012, 267, 634, 17813, 26789, 6645, 519, 10565, 1650, 540, 606, 8798, 602, 4957, 519, 2729, 540, 6634, 563, 268, 3973, 1299, 3767, 281, 11785, 538, 519, 7216, 476, 5002, 271, 338, 454, 268, 2776, 1613, 281, 634, 17813, 26789, 454, 268, 12844, 639, 11473, 281, 631, 6630, 288, 28686, 3427, 454, 268, 10934, 267, 7317, 281, 1548, 519, 21476, 7323, 454, 268, 4937, 9137, 281, 634, 1280, 326, 13516, 15552, 540, 519, 1977, 4427, 3118, 454, 268, 12844, 639, 11473, 281, 3848, 476, 272, 454, 25811, 1359, 1323, 7276, 454, 5978, 1644, 2376, 593, 26184, 7177, 563, 1001, 277, 12590, 3163, 543, 5303, 270, 25811, 1359, 15099, 17563, 454, 9391, 268, 4916, 273, 268, 272, 269, 21302, 1239, 547, 1489, 519, 3409, 602, 13053, 779, 2034, 1876, 540, 5163, 568, 513, 6310, 2203, 10503, 1689, 538, 5163, 630, 1492, 10231, 264, 540, 3615, 950, 19500, 593, 676, 513, 2121, 3196, 563, 9391, 268, 4916, 273, 268, 1015, 263, 7246, 1040, 2422, 1863, 23073, 3196, 12222, 267, 15821, 7215, 267, 543, 13053, 779, 4031, 540, 5163, 547, 3589, 2242, 547, 6991, 543, 10231, 585, 606, 1843, 3001, 538, 835, 10155, 538, 1585, 3871, 454, 1001, 277, 4400, 3427, 5303, 270, 25811, 1359, 454, 9391, 7232, 4811, 272, 268, 272, 269, 21302, 513, 2101, 2518, 4161, 547, 14574, 513, 1374, 1966, 602, 666, 581, 4824, 269, 14419, 2556, 12007, 543, 11050, 7355, 543, 10148, 585, 3435, 267, 1519, 1022, 4170, 1305, 676, 2486, 563, 9391, 7232, 4811, 272, 268, 273, 269, 16505, 513, 1950, 1483, 8996, 1966, 883, 4130, 267, 811, 19242, 2042, 602, 1142, 666, 581, 12193, 1210, 3621, 543, 4702, 3741, 563, 9391, 7232, 4811, 272, 268, 274, 269, 21414, 513, 3070, 547, 513, 1950, 1483, 8996, 1966, 1759, 593, 3922, 1242, 7355, 543, 4123, 32187, 602, 2272, 585, 513, 2039, 540, 10148, 267, 1519, 1942, 267, 3106, 267, 10727, 267, 15312, 267, 543, 5826, 267, 607, 1134, 607, 1514, 267, 2686, 267, 543, 2825, 5222, 563, 9391, 7232, 4811, 272, 268, 275, 269, 2422, 513, 2780, 11191, 547, 2203, 519, 1764, 540, 513, 6069, 3070, 547, 513, 1950, 1483, 8996, 1966, 602, 814, 3875, 7355, 543, 10148, 593, 519, 4205, 1369, 543, 1063, 1949, 4143, 547, 519, 1966, 563, 9391, 7232, 4811, 272, 268, 276, 263, 7246, 1040, 4643, 513, 18634, 610, 1374, 3070, 1210, 9647, 4919, 20327, 543, 568, 6248, 12400, 267, 1210, 1697, 10253, 543, 17114, 563, 9391, 7232, 4811, 272, 268, 277, 263, 7246, 1040, 11657, 543, 1459, 3435, 602, 1331, 16551, 267, 2773, 2164, 267, 18454, 543, 6967, 2152, 267, 543, 7687, 269, 0, 2467, 781, 1100, 8969, 602, 10648, 3536, 723, 1044, 851, 540, 519, 6093, 1977, 2732, 585, 1082, 1296, 269, 901, 568, 15991, 9670, 950, 606, 6059, 476, 3583, 260, 540, 782, 3536, 593, 2475, 2706, 21466, 21684, 2270, 16220, 9168, 5820, 267, 1519, 1034, 1919, 13557, 539, 909, 609, 588, 2117, 1127, 267, 4006, 861, 745, 1186, 267, 10448, 11041, 267, 1412, 2889, 12888, 262, 538, 1585, 1368, 2478, 267, 32649, 5779, 267, 543, 513, 3984, 540, 21187, 269, 3683, 543, 1657, 713, 476, 3583, 260, 540, 9268, 1426, 267, 519, 5354, 540, 3662, 2472, 2097, 689, 13184, 2016, 10648, 3049, 563, 4785, 6800, 267, 649, 616, 5143, 723, 513, 1164, 4110, 540, 5132, 538, 519, 1426, 1606, 23245, 23388, 5645, 856, 676, 741, 9431, 8041, 630, 1492, 15111, 267, 16501, 25467, 22340, 1070, 543, 616, 6126, 547, 3398, 10648, 267, 1256, 952, 1034, 540, 873, 1810, 1405, 917, 789, 2811, 4189, 621, 269, 634, 540, 339, 3146, 701, 730, 4493, 585, 713, 6015, 568, 968, 2171, 666, 1405, 8044, 609, 519, 2594, 281, 1100, 835, 814, 1044, 1500, 2192, 689, 4189, 16220, 9168, 3536, 9731, 763, 1977, 7027, 593, 3163, 543, 2657, 630, 3722, 17239, 994, 763, 5169, 540, 713, 3280, 8386, 974, 4667, 547, 581, 519, 2034, 7160, 540, 513, 27412, 13886, 968, 18693, 12771, 543, 5253, 5608, 5423, 585, 519, 1977, 7027, 593, 3163, 543, 2657, 630, 3722, 17239, 264, 538, 476, 1220, 271, 269, 901, 711, 16519, 3491, 22327, 3919, 6257, 3294, 607, 513, 968, 4621, 10179, 2069, 931, 24832, 892, 799, 24693, 7616, 689, 2872, 543, 4357, 13210, 968, 553, 1279, 1100, 12673, 630, 732, 264, 7923, 6100, 1733, 16824, 321, 869, 619, 853, 879, 828, 543, 10548, 17980, 4766, 519, 589, 5425, 295, 607, 606, 968, 8114, 2722, 4395, 1895, 602, 7472, 11553, 993, 32099, 585, 519, 1426, 4393, 543, 3114, 6080, 9731, 763, 1292, 2278, 540, 519, 589, 5425, 295, 27412, 568, 21142, 5062, 295, 1872, 1156, 267, 513, 7636, 4719, 626, 1631, 2324, 538, 519, 2160, 540, 4993, 693, 23117, 728, 563, 12988, 538, 476, 1220, 271, 267, 5062, 295, 1872, 1156, 1185, 513, 3532, 30254, 585, 3478, 10648, 7608, 269, 2311, 519, 942, 267, 646, 729, 11112, 5663, 513, 10648, 30485, 865, 602, 621, 1223, 16641, 3037, 22016, 540, 519, 10786, 15969, 1031, 593, 3105, 7031, 538, 519, 2361, 269, 23227, 908, 513, 2312, 3765, 24483, 540, 519, 30485, 2344, 267, 646, 11130, 602, 621, 729, 606, 4998, 7693, 585, 13321, 547, 3132, 4853, 6464, 1317, 621, 7012, 1405, 851, 540, 519, 1426, 5832, 269, 1261, 30174, 538, 1010, 10648, 30485, 14679, 5103, 2178, 11685, 689, 30485, 25210, 267, 543, 1256, 5795, 2476, 21168, 540, 1010, 10648, 6079, 585, 6705, 547, 2119, 856, 269, 634, 6364, 814, 1044, 968, 534, 6207, 3781, 332, 732, 585, 30485, 25210, 892, 630, 4692, 6598, 29458, 308, 1070, 519, 12900, 540, 519, 8225, 30485, 6079, 2344, 267, 543, 513, 8101, 2530, 540, 2724, 585, 519, 2160, 540, 32527, 520, 3832, 9774, 1141, 5062, 295, 1872, 1156, 729, 2324, 693, 519, 942, 630, 8450, 5990, 667, 17751, 5508, 5990, 674, 6369, 311, 1107, 5240, 267, 5437, 476, 1220, 280, 1040, 6820, 12526, 540, 30485, 676, 5062, 295, 1872, 1156, 781, 6090, 26251, 547, 713, 1554, 267, 2059, 609, 1585, 8747, 540, 1010, 2048, 5503, 2389, 6479, 685, 1412, 16513, 262, 540, 10648, 3106, 563, 1103, 1412, 18693, 12771, 543, 5253, 3299, 5062, 295, 1872, 1156, 781, 29660, 1606, 2615, 881, 2963, 585, 14962, 532, 1412, 21504, 4145, 262, 543, 1412, 2102, 1968, 1426, 3106, 2152, 262, 540, 10648, 1426, 568, 281, 968, 16248, 4627, 2929, 3345, 1977, 6800, 723, 1044, 4189, 1896, 18797, 10648, 3536, 6738, 593, 4627, 540, 6634, 540, 14143, 2094, 476, 1960, 275, 2073, 609, 1100, 13006, 8801, 2360, 892, 630, 331, 831, 538, 519, 1867, 713, 3948, 31272, 8986, 319, 607, 968, 11004, 616, 1100, 13006, 2665, 540, 2800, 30289, 547, 519, 1184, 676, 799, 519, 10648, 7031, 941, 26870, 5608, 799, 2965, 3081, 1945, 3833, 1114, 1040, 634, 1412, 5271, 2064, 262, 585, 3106, 17774, 3166, 1586, 607, 5063, 607, 5437, 476, 1001, 271, 267, 538, 513, 1867, 2966, 547, 3310, 519, 28912, 781, 5571, 10648, 10595, 325, 7037, 2990, 269, 898, 729, 7708, 339, 1540, 856, 676, 519, 23266, 540, 10648, 1412, 326, 1245, 523, 262, 6171, 5025, 3638, 7573, 945, 568, 2348, 11995, 7965, 3478, 1010, 1412, 16447, 22766, 262, 10648, 7693, 5196, 519, 2344, 855, 814, 7307, 547, 1205, 5128, 11221, 547, 519, 28912, 781, 2257, 14194, 6665, 800, 1560, 269, 1261, 1767, 968, 2467, 814, 711, 1044, 513, 2582, 13006, 2013, 540, 2800, 547, 6800, 610, 519, 1604, 9731, 1103, 513, 3510, 1141, 972, 814, 1044, 1100, 4152, 593, 3425, 267, 972, 814, 1044, 8766, 610, 1100, 4152, 593, 8047, 887, 4823, 3631, 267, 1100, 4152, 593, 13184, 3564, 519, 6296, 20749, 3146, 638, 1600, 11974, 593, 1587, 2298, 630, 7945, 607, 519, 2597, 2744, 6913, 1070, 1100, 2978, 2454, 543, 1100, 2022, 27360, 564, 5464, 267, 891, 6898, 616, 7543, 547, 2901, 6961, 610, 16355, 557, 269, 9453, 4143, 5638, 267, 7403, 543, 8060, 267, 519, 3259, 540, 942, 799, 814, 1714, 17863, 267, 519, 1297, 540, 1004, 3238, 543, 519, 1858, 540, 10648, 7031, 6738, 13822, 1100, 2963, 31049, 563, 297, 27889, 9445, 8055, 267, 19829, 543, 13653, 540, 634, 4659, 585, 13786, 1043, 5303, 267, 666, 1405, 6445, 538, 519, 3621, 10616, 2901, 267, 855, 646, 1281, 2911, 547, 513, 2603, 540, 1004, 267, 2523, 4648, 538, 513, 2990, 547, 5544, 1412, 322, 1162, 540, 2800, 262, 689, 4189, 10648, 269, 1261, 781, 3222, 540, 7189, 4171, 2550, 723, 1044, 23174, 540, 2175, 607, 3309, 607, 2960, 6547, 267, 8886, 762, 15108, 6794, 267, 31264, 267, 2597, 2042, 543, 9854, 267, 1310, 1373, 11311, 513, 1875, 8566, 300, 2732, 269, 634, 1966, 609, 713, 2186, 540, 2963, 267, 538, 519, 9000, 540, 513, 23963, 6417, 1353, 267, 568, 602, 547, 2057, 10648, 1426, 267, 519, 1004, 849, 11074, 4189, 9268, 22938, 543, 3323, 4189, 5214, 269, 898, 781, 7543, 547, 2995, 952, 621, 781, 519, 9000, 540, 22938, 267, 519, 9000, 540, 10648, 267, 519, 4367, 540, 5214, 267, 610, 782, 1614, 1927, 799, 4547, 827, 519, 10826, 563, 4913, 267, 8055, 814, 849, 14437, 547, 14830, 12579, 543, 6705, 269, 12292, 593, 11396, 1810, 1405, 723, 519, 1950, 543, 9867, 2732, 6093, 540, 3425, 267, 6862, 798, 789, 723, 1454, 3903, 827, 1018, 789, 3548, 281, 607, 513, 4341, 789, 2811, 2016, 513, 1360, 11658, 2732, 540, 22959, 268, 543, 865, 5984, 268, 1759, 3662, 3049, 269, 26478, 723, 4767, 602, 950, 741, 14918, 543, 16933, 941, 3144, 1055, 10648, 3049, 267, 2669, 3928, 543, 1869, 23899, 3928, 12628, 267, 16445, 2450, 4682, 909, 267, 543, 2949, 1072, 4824, 269, 2290, 6705, 729, 3235, 18878, 827, 519, 5458, 2333, 538, 5144, 2504, 538, 1010, 10648, 6954, 23636, 269, 5637, 1654, 1206, 543, 6705, 849, 4718, 3604, 3330, 10648, 1922, 539, 2831, 1282, 1313, 3591, 625, 610, 1310, 855, 7815, 532, 267, 1519, 6797, 3441, 630, 320, 5929, 10835, 540, 17219, 1070, 7181, 21385, 267, 32396, 267, 543, 513, 23296, 577, 799, 12582, 1405, 723, 1044, 972, 269, 11088, 267, 713, 2963, 3085, 1405, 17046, 569, 1448, 519, 9416, 693, 10648, 3049, 267, 855, 1317, 972, 616, 2484, 7864, 7679, 1359, 6724, 267, 621, 568, 693, 519, 1360, 2547, 17709, 540, 2417, 7634, 563, 26877, 12437, 14586, 1500, 7210, 676, 13386, 2861, 2732, 454, 4785, 4961, 267, 1810, 1405, 3622, 6615, 741, 20013, 2732, 547, 513, 2582, 7693, 2030, 269, 1717, 267, 972, 568, 835, 3236, 1141, 713, 729, 2944, 269, 4595, 5130, 476, 1220, 274, 267, 31852, 540, 519, 13325, 7890, 1062, 723, 1044, 10480, 513, 2732, 16922, 7361, 540, 13386, 543, 865, 5984, 3940, 20586, 269, 634, 2601, 729, 547, 2759, 3790, 676, 13868, 5779, 543, 10381, 609, 10464, 9268, 865, 5984, 708, 14591, 269, 29277, 619, 941, 4061, 10438, 20733, 540, 476, 1911, 10101, 540, 865, 5984, 513, 1554, 630, 10472, 568, 476, 274, 268, 1015, 2053, 1018, 568, 7363, 10057, 538, 7489, 2477, 1141, 865, 5984, 568, 851, 540, 519, 2757, 2732, 1040, 634, 1164, 27940, 5984, 2732, 4166, 3323, 547, 723, 18111, 614, 1190, 2360, 593, 519, 2367, 267, 1519, 5312, 543, 11213, 19228, 20367, 609, 27676, 13165, 267, 13481, 1310, 4189, 267, 8325, 14159, 24074, 267, 535, 31021, 267, 27621, 14591, 267, 30919, 267, 18383, 267, 20026, 267, 11784, 6285, 267, 4965, 543, 2589, 540, 30847, 630, 10623, 9934, 4411, 267, 2634, 20893, 267, 9854, 267, 2597, 2744, 267, 5563, 267, 23762, 11178, 14189, 5148, 1082, 540, 519, 2367, 723, 1185, 851, 540, 741, 9667, 8778, 6569, 269, 2991, 2185, 1296, 540, 713, 543, 1100, 2962, 689, 519, 7890, 5234, 267, 519, 31852, 3459, 32296, 519, 4639, 517, 589, 269, 12313, 7690, 547, 1491, 2962, 593, 741, 15773, 269, 2311, 519, 942, 540, 1603, 267, 513, 27779, 4547, 676, 5216, 540, 519, 4299, 14586, 19443, 676, 519, 7690, 568, 533, 2056, 538, 519, 3844, 13325, 10588, 7040, 269, 6744, 856, 519, 3896, 585, 3377, 827, 519, 13325, 14586, 262, 5480, 2013, 267, 543, 3527, 799, 2475, 4961, 666, 1491, 547, 948, 519, 1412, 306, 1195, 1325, 1068, 262, 5859, 563, 6546, 621, 1058, 1491, 11269, 547, 513, 711, 16519, 3491, 22327, 13539, 267, 2864, 982, 519, 6654, 2192, 268, 8234, 540, 519, 14586, 547, 12954, 2962, 949, 3100, 9490, 2394, 596, 3605, 519, 6214, 3297, 519, 2898, 865, 5984, 1673, 2884, 14679, 269, 634, 17135, 540, 13325, 538, 476, 1220, 274, 729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2550, 630, 4364, 1014, 2085, 476, 4792, 1296, 282, 2039, 476, 1789, 1700, 3445, 1296, 264, 3622, 8858, 23822, 618, 540, 741, 838, 548, 839, 630, 4037, 260, 540, 2665, 1040, 1358, 3335, 798, 711, 723, 23822, 906, 540, 741, 9726, 9136, 4849, 585, 519, 9726, 9136, 1472, 519, 554, 559, 636, 540, 741, 838, 548, 839, 269, 4107, 2550, 723, 1100, 11528, 2589, 971, 607, 8611, 267, 3781, 4418, 1846, 267, 2597, 2530, 267, 610, 9854, 269, 10552, 4255, 7866, 20214, 538, 519, 2157, 540, 2699, 1973, 2281, 267, 6676, 7410, 267, 543, 5924, 3043, 1973, 2281, 538, 476, 1839, 260, 540, 2665, 282, 606, 9402, 21883, 16384, 300, 24869, 5448, 3940, 538, 2999, 3451, 260, 540, 2665, 282, 543, 538, 9625, 736, 260, 540, 2665, 2963, 540, 10081, 9404, 29774, 17244, 971, 607, 21883, 10081, 656, 756, 3672, 630, 328, 4318, 269, 12489, 9859, 1996, 519, 2550, 262, 1378, 26898, 1070, 16991, 8280, 32673, 17350, 267, 4761, 24405, 7514, 9008, 21329, 1625, 335, 3120, 267, 4411, 4903, 331, 583, 514, 1231, 267, 543, 5924, 1884, 4815, 698, 592, 656, 12489, 269, 15706, 609, 15382, 313, 299, 849, 4122, 8858, 2799, 2157, 540, 21883, 1973, 9726, 14231, 799, 538, 930, 2665, 666, 581, 4857, 607, 23872, 645, 16052, 338, 282, 891, 23872, 2281, 949, 723, 4552, 6438, 20327, 2147, 547, 519, 23872, 645, 16052, 338, 1336, 538, 519, 10009, 540, 2550, 609, 4552, 344, 1591, 26679, 269, 14904, 609, 15382, 313, 299, 949, 849, 1459, 609, 4191, 543, 2589, 540, 9715, 13153, 654, 4068, 25912, 2068, 267, 2587, 1470, 539, 9047, 1813, 547, 595, 272, 268, 6856, 848, 28166, 10638, 267, 610, 17537, 595, 3644, 3968, 630, 324, 3052, 269, 4791, 17537, 267, 21883, 17537, 595, 3644, 1040, 634, 7681, 540, 17537, 595, 3644, 3968, 609, 15382, 313, 299, 9775, 609, 4087, 543, 949, 581, 607, 1164, 607, 476, 1015, 260, 538, 930, 2127, 269, 7053, 267, 6297, 6514, 540, 3461, 5642, 2261, 4900, 3592, 2141, 9060, 22836, 610, 811, 3573, 7213, 2827, 540, 23872, 645, 16052, 338, 563, 763, 23872, 2281, 3238, 538, 15382, 313, 299, 616, 17895, 8271, 4857, 607, 18970, 7721, 704, 27624, 645, 16052, 338, 269, 634, 2068, 5526, 547, 581, 15748, 538, 693, 2547, 930, 2665, 676, 5312, 18970, 14242, 540, 519, 24888, 645, 16052, 338, 602, 7551, 1831, 18970, 7721, 704, 27624, 269, 15845, 585, 713, 8174, 566, 2501, 689, 2090, 6029, 602, 519, 18970, 7721, 704, 27624, 645, 16052, 338, 7961, 15382, 313, 299, 2769, 1785, 12147, 11658, 6375, 15644, 592, 1231, 543, 645, 16052, 13364, 630, 5408, 804, 4689, 5542, 264, 602, 2693, 12622, 1808, 855, 3622, 796, 30009, 26898, 269, 5015, 267, 2550, 609, 15382, 313, 299, 616, 1419, 1336, 547, 723, 16991, 17244, 971, 607, 21883, 10081, 656, 756, 3672, 630, 328, 4318, 269, 12489, 9859, 1996, 2550, 262, 1378, 26898, 1070, 16991, 8280, 32673, 17350, 267, 4761, 24405, 7514, 9008, 21329, 1625, 335, 3120, 267, 4411, 4903, 331, 583, 514, 514, 2068, 267, 21883, 1884, 4815, 698, 592, 656, 12489, 267, 9715, 13153, 654, 4068, 25912, 2068, 267, 543, 606, 613, 334, 539, 9047, 1813, 547, 595, 272, 268, 6856, 848, 28166, 10638, 269, 898, 568, 2219, 602, 519, 645, 16052, 13805, 11006, 540, 796, 30009, 26898, 1519, 1346, 3238, 538, 519, 11855, 16991, 17244, 12954, 519, 645, 16052, 338, 262, 18735, 267, 1279, 3856, 6668, 267, 543, 7551, 519, 1900, 30150, 11601, 540, 22308, 17244, 799, 6038, 2014, 519, 18970, 7721, 704, 27624, 645, 16052, 338, 547, 1831, 23872, 269, 634, 22308, 17244, 2219, 547, 3565, 547, 713, 23872, 7004, 1331, 912, 268, 26537, 25593, 17244, 971, 607, 281, 476, 272, 264, 25533, 687, 538, 519, 1279, 630, 328, 4318, 269, 834, 336, 8442, 6186, 540, 15694, 476, 278, 630, 534, 2254, 730, 607, 1642, 278, 336, 264, 538, 476, 1789, 268, 2412, 260, 540, 2665, 630, 10472, 32280, 568, 4686, 538, 824, 9726, 5557, 543, 4061, 1031, 607, 513, 15262, 585, 15382, 313, 299, 5148, 476, 273, 264, 32280, 540, 513, 3148, 593, 519, 2110, 630, 328, 4318, 269, 834, 335, 8442, 6186, 540, 15694, 476, 1704, 538, 476, 274, 268, 1704, 260, 540, 2665, 547, 1267, 538, 513, 10690, 540, 835, 540, 519, 1079, 533, 7871, 6090, 602, 31391, 513, 10510, 16401, 528, 602, 6411, 547, 10038, 10408, 6668, 282, 543, 476, 274, 264, 12374, 538, 519, 7117, 6186, 540, 15694, 476, 274, 538, 476, 1015, 268, 736, 260, 540, 2665, 563, 268, 631, 20706, 538, 6090, 971, 607, 281, 476, 272, 918, 299, 293, 273, 630, 2641, 260, 540, 2665, 1070, 513, 16606, 3815, 602, 18549, 21560, 519, 29458, 268, 24681, 289, 15202, 13374, 540, 10408, 6668, 267, 18735, 267, 543, 519, 2504, 540, 1591, 3613, 574, 6819, 29299, 282, 476, 273, 264, 10691, 6224, 273, 630, 736, 260, 540, 2665, 1070, 513, 9245, 3940, 602, 21560, 519, 1646, 540, 8589, 7997, 645, 16052, 338, 689, 741, 24888, 2281, 543, 814, 10510, 16401, 528, 2534, 547, 7551, 3895, 10408, 6668, 282, 476, 274, 264, 570, 303, 7871, 630, 1691, 260, 540, 2665, 1070, 513, 16606, 3815, 602, 18549, 21560, 1591, 18735, 543, 23553, 1591, 2669, 547, 7551, 3895, 10408, 6668, 282, 476, 275, 264, 30312, 17247, 276, 630, 1691, 260, 540, 2665, 264, 609, 15458, 3252, 282, 476, 276, 264, 570, 301, 11902, 7709, 274, 630, 1724, 260, 540, 2665, 1070, 799, 6411, 18549, 547, 21391, 29458, 268, 24681, 289, 11852, 543, 23553, 1591, 2669, 282, 543, 476, 277, 264, 538, 2999, 1015, 260, 540, 2665, 693, 2547, 476, 1626, 824, 6090, 563, 14454, 267, 13592, 538, 519, 10691, 6224, 267, 29458, 268, 24681, 289, 267, 543, 918, 299, 293, 273, 15202, 11444, 2408, 3226, 1271, 538, 519, 31630, 540, 15382, 313, 299, 563, 763, 1579, 11732, 2963, 585, 519, 5868, 540, 15382, 313, 299, 568, 5833, 676, 6514, 540, 2550, 262, 838, 548, 839, 5833, 676, 10943, 523, 26618, 269, 1452, 838, 548, 839, 1915, 12264, 1397, 9726, 1355, 22467, 6233, 538, 519, 3043, 17870, 543, 267, 547, 513, 14758, 543, 811, 4756, 6708, 267, 519, 2699, 17870, 269, 1452, 22467, 6233, 2874, 540, 1507, 9726, 14231, 267, 8589, 7997, 645, 16052, 338, 267, 1298, 549, 4565, 770, 6438, 645, 16052, 338, 267, 1395, 22889, 6438, 645, 16052, 338, 267, 543, 11919, 2281, 269, 9210, 30965, 2993, 1355, 6438, 1277, 328, 14231, 949, 581, 1336, 538, 519, 2699, 17870, 269, 590, 680, 21329, 554, 1791, 9726, 9136, 949, 1397, 12162, 983, 22467, 6233, 540, 1507, 9726, 14231, 269, 5516, 995, 543, 9488, 6514, 540, 2550, 262, 5642, 20768, 4122, 2982, 27960, 540, 9726, 1355, 2281, 1063, 519, 8219, 911, 2041, 1529, 2801, 543, 1369, 922, 5609, 4926, 269, 3026, 31129, 645, 16052, 338, 949, 849, 32694, 538, 3461, 781, 1973, 269, 634, 683, 31129, 2281, 538, 782, 540, 891, 8031, 267, 2147, 519, 683, 31129, 2281, 538, 970, 3757, 27567, 543, 12162, 531, 631, 313, 299, 267, 2769, 7131, 736, 267, 7131, 2767, 267, 543, 7460, 299, 273, 855, 711, 7131, 1015, 267, 7131, 2537, 267, 7131, 276, 267, 7131, 6246, 267, 7131, 4343, 267, 7460, 299, 277, 267, 7814, 514, 667, 272, 267, 610, 24509, 514, 589, 272, 15262, 5946, 269, 1452, 2281, 949, 849, 2769, 519, 1642, 278, 336, 32280, 630, 328, 4318, 269, 25533, 687, 538, 519, 7117, 6186, 540, 15694, 476, 278, 264, 538, 476, 1789, 268, 2412, 260, 540, 2665, 543, 538, 2539, 21159, 540, 2665, 519, 4573, 730, 6090, 7396, 538, 519, 11202, 30986, 3296, 269, 2755, 519, 5868, 540, 15382, 313, 299, 729, 7620, 1759, 593, 519, 6514, 540, 10943, 21329, 5160, 267, 4867, 519, 5868, 568, 1500, 538, 1034, 2665, 593, 4791, 4681, 7132, 18362, 540, 2550, 262, 5642, 20768, 543, 5924, 1973, 602, 3713, 683, 31129, 645, 16052, 338, 602, 2769, 930, 540, 519, 5946, 543, 5924, 22308, 17244, 11855, 1657, 282, 2705, 267, 2665, 2352, 547, 13209, 1759, 593, 5642, 20768, 543, 1973, 4681, 2154, 6514, 540, 519, 838, 22220, 547, 3489, 513, 17046, 5868, 540, 15382, 313, 299, 563, 11693, 922, 678, 10846, 267, 972, 723, 1044, 1100, 9836, 543, 6417, 2090, 593, 519, 2126, 540, 15382, 313, 299, 269, 7351, 7840, 585, 713, 1331, 519, 1739, 269, 13772, 995, 7996, 267, 799, 568, 519, 609, 3835, 532, 540, 1808, 5574, 1247, 7900, 1246, 5346, 18362, 1169, 476, 274, 547, 476, 277, 3275, 547, 3713, 2068, 11144, 269, 901, 1576, 568, 5227, 585, 519, 9625, 3451, 260, 540, 15382, 313, 299, 2550, 945, 1459, 609, 28105, 267, 1875, 3491, 326, 4809, 267, 610, 7444, 11636, 2068, 269, 1452, 2550, 949, 711, 2154, 9354, 7459, 585, 1279, 5712, 269, 25214, 267, 519, 3355, 3797, 585, 2550, 609, 6385, 3356, 532, 2068, 729, 10943, 523, 26618, 269, 2368, 476, 3445, 260, 540, 891, 2550, 1397, 20214, 538, 741, 2589, 543, 9283, 538, 741, 1970, 2699, 1973, 1591, 267, 6676, 2280, 267, 543, 3043, 1973, 1591, 12523, 282, 789, 1185, 11667, 11144, 6954, 267, 476, 276, 1032, 2949, 267, 543, 476, 1015, 1032, 2949, 6668, 3928, 540, 476, 279, 269, 273, 1296, 267, 476, 10019, 9077, 543, 476, 6858, 9077, 6606, 269, 1717, 267, 891, 2550, 1397, 1100, 27327, 538, 519, 683, 31129, 645, 16052, 338, 2157, 538, 741, 1973, 267, 941, 1641, 547, 3978, 8374, 689, 741, 10943, 523, 26618, 630, 324, 3052, 269, 24405, 2670, 267, 5563, 1070, 543, 1705, 711, 1397, 7369, 2949, 6668, 3928, 1732, 982, 1346, 5833, 609, 824, 2126, 2994, 269, 22353, 267, 10943, 523, 26618, 585, 15382, 313, 299, 814, 1044, 3908, 547, 2665, 540, 3648, 31916, 23762, 838, 548, 839, 538, 2550, 609, 7646, 3562, 21524, 4733, 5642, 20768, 9525, 543, 1100, 4439, 5652, 9726, 6843, 23822, 906, 563, 14483, 2126, 7840, 585, 2550, 609, 31916, 610, 6385, 11636, 15382, 313, 299, 7048, 593, 5061, 269, 681, 527, 5060, 574, 629, 267, 513, 5010, 7041, 540, 513, 1395, 16438, 4689, 17193, 9859, 693, 519, 7131, 736, 3940, 593, 645, 16052, 338, 267, 568, 3648, 3742, 538, 15382, 313, 299, 267, 609, 2110, 3856, 5574, 630, 324, 3052, 269, 9625, 275, 4374, 264, 8236, 2949, 3210, 3928, 540, 476, 3445, 268, 1911, 9077, 2347, 1121, 2153, 3928, 540, 3436, 2004, 9077, 543, 513, 476, 278, 4458, 11144, 6954, 6668, 2557, 540, 476, 7597, 10065, 7043, 3856, 5826, 3797, 609, 678, 527, 5060, 574, 629, 5526, 547, 2087, 891, 2164, 543, 2550, 945, 26739, 1310, 678, 527, 5060, 574, 629, 3797, 4122, 4431, 547, 513, 2034, 1576, 540, 519, 3075, 269, 13405, 547, 678, 527, 5060, 574, 629, 8244, 267, 2582, 3075, 18068, 630, 324, 3052, 269, 8392, 3711, 1075, 559, 267, 7814, 2684, 6664, 29524, 267, 1166, 644, 541, 629, 710, 267, 20008, 739, 11294, 267, 476, 273, 290, 6395, 267, 610, 18846, 600, 755, 710, 264, 543, 2789, 3075, 1036, 6036, 630, 328, 4318, 269, 519, 22008, 303, 20786, 540, 7814, 2684, 6664, 29524, 267, 642, 4532, 2077, 710, 267, 543, 2392, 23036, 821, 267, 610, 519, 8863, 8008, 20786, 540, 22008, 303, 7132, 798, 343, 528, 889, 545, 514, 264, 941, 1031, 547, 1521, 519, 2068, 269, 1717, 267, 1699, 2090, 5815, 602, 891, 2447, 6139, 8427, 8069, 616, 711, 9120, 547, 2582, 8665, 678, 527, 5060, 574, 629, 3797, 538, 2474, 540, 3210, 2557, 607, 1134, 607, 519, 2298, 543, 8653, 540, 891, 6114, 269, 589, 5123, 4083, 4791, 4693, 814, 1336, 602, 519, 2126, 540, 15382, 313, 299, 609, 513, 4999, 540, 678, 527, 5060, 574, 629, 7132, 581, 332, 17043, 755, 710, 31267, 2949, 3210, 543, 2347, 3210, 3928, 540, 476, 11011, 260, 543, 476, 10463, 9077, 6606, 267, 609, 6871, 6114, 11972, 585, 3436, 274, 1296, 267, 11144, 6954, 6668, 2557, 267, 543, 2949, 6668, 2557, 540, 476, 11152, 9077, 476, 3445, 9077, 543, 476, 9834, 9077, 6606, 269, 634, 2164, 540, 713, 4693, 267, 1247, 8506, 21533, 267, 9244, 2303, 602, 713, 1079, 1673, 2607, 20786, 581, 1031, 538, 1747, 540, 678, 527, 5060, 574, 629, 4805, 267, 519, 11855, 18068, 1036, 6036, 267, 610, 678, 527, 5060, 574, 629, 7132, 519, 11855, 18068, 1036, 6036, 585, 2550, 609, 31916, 24579, 326, 4809, 15382, 313, 299, 563, 32546, 4363, 602, 15382, 313, 299, 2550, 945, 849, 723, 17537, 595, 3644, 3968, 1058, 581, 5701, 609, 5061, 602, 957, 547, 9004, 519, 3644, 607, 741, 1101, 1899, 1935, 269, 6969, 519, 1646, 540, 2047, 9117, 4550, 8686, 12637, 8069, 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, 3148, 610, 1533, 6694, 8257, 585, 3877, 593, 519, 1034, 2922, 543, 849, 1655, 6464, 2139, 547, 596, 269, 2290, 1505, 602, 814, 2965, 1044, 9425, 2442, 936, 519, 2250, 1906, 1296, 568, 7471, 11641, 2359, 630, 7709, 300, 1040, 7379, 300, 18252, 513, 3099, 540, 2553, 547, 6146, 519, 7786, 602, 616, 4092, 1472, 707, 10821, 610, 5010, 3959, 267, 1210, 1896, 3457, 543, 2994, 602, 960, 1927, 547, 12492, 513, 2143, 543, 2698, 17079, 1852, 4640, 269, 634, 1034, 8912, 1907, 1031, 538, 11368, 11641, 7245, 568, 561, 675, 269, 634, 536, 7159, 568, 7363, 13526, 25390, 543, 13267, 267, 2919, 547, 561, 675, 519, 7786, 1318, 883, 513, 561, 675, 8708, 610, 8708, 269, 3973, 267, 519, 21313, 1852, 1870, 946, 8671, 1227, 2322, 6464, 267, 538, 1840, 547, 536, 7159, 547, 9004, 873, 16425, 950, 789, 4283, 519, 536, 7159, 16935, 269, 1403, 596, 616, 16462, 547, 8415, 7379, 300, 4485, 267, 3717, 547, 707, 8378, 267, 3148, 610, 1533, 8105, 6498, 547, 3605, 799, 4485, 540, 536, 7159, 543, 3114, 786, 6157, 581, 1655, 585, 707, 1808, 9183, 269, 15316, 824, 7379, 300, 2409, 1331, 2011, 532, 856, 543, 4087, 3156, 269, 674, 636, 12720, 18252, 5667, 332, 2454, 6464, 602, 6146, 519, 7786, 607, 789, 4283, 883, 1289, 609, 873, 282, 4087, 3156, 1118, 946, 540, 3905, 6878, 547, 1305, 1055, 513, 10006, 540, 5521, 20141, 20851, 11169, 538, 513, 1978, 4087, 269, 1452, 2553, 666, 581, 10943, 14414, 593, 610, 2282, 519, 2371, 596, 616, 3843, 547, 4383, 269, 769, 1931, 547, 946, 891, 13851, 267, 596, 723, 547, 723, 1569, 547, 2011, 532, 856, 2645, 267, 9967, 540, 10936, 15963, 607, 1134, 607, 1972, 2209, 602, 666, 3914, 2620, 883, 519, 3037, 269, 5015, 267, 13851, 2154, 547, 581, 593, 513, 2834, 4493, 25579, 1639, 538, 1931, 547, 2061, 936, 23418, 569, 267, 865, 16565, 607, 1134, 607, 1210, 5521, 15969, 22991, 568, 2556, 269, 0, 2026, 5046, 268, 866, 2665, 552, 6277, 543, 2095, 267, 2069, 4648, 3136, 547, 581, 896, 7920, 2604, 547, 2936, 4066, 602, 1489, 8465, 1565, 3631, 563, 4407, 713, 568, 513, 23773, 4305, 267, 606, 1256, 3152, 4161, 6013, 6619, 269, 27759, 585, 513, 10316, 2069, 2203, 602, 10905, 538, 11665, 1565, 609, 6552, 1565, 568, 2693, 547, 10836, 607, 513, 3586, 20772, 630, 528, 10512, 6521, 264, 689, 519, 6855, 269, 901, 6932, 2203, 786, 2154, 593, 1569, 547, 3059, 2645, 543, 1949, 602, 666, 3082, 547, 4657, 6381, 543, 519, 9687, 2115, 543, 6788, 540, 1053, 543, 3610, 563, 2108, 8245, 2952, 3478, 593, 513, 3381, 609, 1053, 568, 711, 5969, 621, 2223, 3081, 26566, 830, 5213, 958, 267, 606, 2069, 22639, 21751, 538, 5234, 1646, 543, 2866, 538, 15138, 2029, 269, 968, 5445, 5749, 1406, 1565, 4376, 676, 1175, 9361, 972, 543, 6947, 547, 513, 11000, 2228, 269, 4841, 991, 547, 2170, 609, 519, 1543, 519, 1259, 789, 798, 538, 513, 4928, 950, 789, 2461, 3068, 547, 3068, 609, 741, 4116, 3034, 1103, 1840, 547, 3246, 7855, 609, 519, 1983, 547, 4001, 538, 6552, 5468, 267, 1153, 13102, 786, 991, 547, 16491, 1053, 609, 519, 1318, 3059, 2645, 547, 948, 873, 1451, 1034, 3927, 267, 1256, 607, 789, 11883, 609, 6578, 10148, 269, 12140, 1522, 1655, 1376, 676, 2502, 609, 1053, 267, 3610, 267, 3885, 267, 543, 519, 2146, 547, 1174, 799, 4066, 786, 1655, 7520, 1565, 563, 5194, 7156, 281, 769, 3210, 547, 519, 1007, 7569, 585, 1565, 267, 1082, 3506, 2066, 519, 4182, 5059, 593, 835, 6823, 14633, 1565, 1247, 6552, 269, 1306, 789, 5912, 1394, 547, 513, 10316, 1158, 267, 8668, 543, 2069, 3401, 786, 723, 547, 6430, 2436, 602, 1367, 1565, 2203, 568, 4264, 269, 3657, 789, 5423, 547, 581, 835, 2987, 14633, 609, 782, 1346, 3457, 593, 1153, 12406, 286, 1684, 789, 723, 513, 1544, 547, 4308, 609, 2799, 3060, 17613, 602, 2203, 786, 3142, 286, 901, 568, 2565, 267, 607, 2069, 543, 8668, 3401, 786, 581, 896, 2604, 711, 547, 3653, 519, 5458, 2029, 5092, 1500, 936, 519, 2250, 476, 277, 3275, 563, 288, 1007, 1569, 2203, 602, 5713, 782, 1053, 849, 1590, 9004, 519, 3059, 7941, 2813, 711, 1152, 676, 3668, 540, 1569, 585, 930, 3885, 547, 3457, 267, 855, 676, 4057, 610, 1256, 1875, 7721, 11962, 5769, 14479, 610, 1107, 538, 519, 2013, 540, 1082, 2950, 538, 6552, 610, 29990, 2127, 1107, 31877, 1591, 3028, 269, 901, 949, 2154, 1153, 1949, 547, 1683, 12616, 3905, 9634, 585, 5321, 1510, 513, 6325, 5769, 4276, 563, 3080, 4781, 602, 930, 1153, 13102, 22002, 538, 519, 2038, 5933, 540, 519, 6855, 729, 547, 7649, 609, 2199, 5769, 7426, 547, 2709, 1863, 610, 1970, 21057, 1569, 547, 930, 3885, 269, 769, 1840, 267, 3549, 971, 607, 667, 749, 16370, 616, 4543, 3506, 11753, 10319, 1565, 3292, 543, 3246, 873, 609, 519, 2645, 789, 991, 547, 1118, 891, 3292, 960, 585, 1053, 543, 3610, 543, 2196, 3927, 538, 741, 8668, 8134, 563, 26589, 609, 1018, 9425, 666, 581, 4330, 607, 7372, 17522, 547, 519, 3872, 1062, 2501, 606, 3693, 540, 1981, 269, 14956, 2287, 909, 543, 18440, 2069, 5121, 666, 1450, 3983, 11051, 547, 1491, 5413, 540, 1007, 610, 32373, 539, 16426, 269, 898, 779, 3274, 711, 10257, 267, 585, 1383, 267, 547, 8263, 602, 1053, 616, 1210, 5150, 3457, 610, 1739, 3354, 1655, 2853, 269, 4935, 267, 8668, 3375, 24237, 538, 1153, 1949, 1058, 2015, 4066, 602, 2327, 5150, 1569, 547, 3060, 2200, 676, 1053, 267, 16929, 267, 543, 3791, 18407, 8639, 563, 14807, 1049, 5238, 543, 3610, 1472, 519, 1158, 941, 5185, 609, 513, 6433, 538, 476, 1708, 271, 269, 3509, 15527, 8098, 4275, 29087, 267, 5103, 513, 3668, 540, 4058, 543, 7041, 269, 3767, 789, 723, 942, 547, 1451, 689, 713, 1995, 543, 585, 613, 513, 10316, 1565, 4640, 602, 12346, 593, 3059, 4066, 267, 2146, 12352, 267, 543, 3403, 689, 1053, 543, 7855, 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 ]
[ 547, 19456, 23768, 912, 2026, 1279, 607, 1004, 6146, 2831, 267, 789, 786, 6146, 1142, 824, 269, 11569, 267, 646, 945, 521, 3298, 519, 5452, 540, 2669, 543, 1928, 3112, 28231, 8788, 543, 2648, 563, 2252, 596, 3409, 602, 596, 616, 6923, 30758, 585, 513, 5779, 2861, 2732, 267, 1287, 1101, 13948, 6146, 1018, 596, 1616, 547, 3548, 269, 1717, 267, 798, 621, 609, 707, 1378, 3946, 267, 1510, 519, 948, 540, 513, 855, 7815, 779, 4949, 324, 267, 17180, 610, 1022, 14049, 563, 9989, 513, 812, 540, 1250, 2247, 3548, 24767, 525, 286, 0, 10743, 786, 581, 2111, 547, 454, 268, 4766, 519, 1286, 7901, 344, 997, 3679, 6198, 1895, 538, 1931, 547, 2697, 543, 2012, 2241, 1286, 7901, 344, 997, 7408, 2676, 268, 6460, 1063, 519, 4408, 267, 519, 7636, 12596, 267, 543, 519, 10268, 12596, 540, 1114, 1286, 7901, 344, 997, 7408, 2676, 268, 1592, 3096, 543, 2959, 540, 1455, 1286, 7901, 344, 997, 7408, 2676, 268, 2328, 3114, 4834, 5473, 1286, 7901, 344, 997, 7408, 32232, 609, 4568, 338, 267, 8407, 267, 3327, 919, 267, 543, 12659, 23653, 2676, 268, 4766, 519, 15755, 2470, 540, 1286, 7901, 344, 997, 7408, 538, 1931, 547, 3651, 519, 2953, 9063, 2039, 547, 513, 1286, 7901, 344, 997, 3679, 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 ]
[ 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, 28477, 8551, 910, 667, 1090, 553, 607, 3487, 540, 7489, 26492, 692, 8702, 267, 5664, 3427, 4841, 256, 4653, 649, 616, 2469, 547, 7832, 593, 606, 3078, 3460, 998, 5607, 267, 3695, 1114, 2010, 540, 12563, 6575, 602, 723, 1044, 5293, 1524, 689, 5108, 547, 5108, 269, 1284, 786, 1445, 3226, 593, 835, 2460, 540, 891, 12563, 6575, 281, 19010, 24717, 12087, 25783, 19489, 32602, 290, 2464, 256, 1411, 1522, 4898, 1018, 2306, 891, 12644, 865, 2027, 286, 2913, 781, 4685, 1318, 883, 621, 2439, 2414, 2253, 609, 267, 1577, 721, 1174, 1018, 513, 1412, 323, 1090, 1738, 2773, 262, 1797, 269, 5994, 596, 543, 707, 2828, 8380, 1927, 513, 1507, 1236, 527, 827, 513, 5869, 9494, 513, 8498, 1282, 513, 20599, 4323, 1107, 875, 9599, 1131, 3025, 581, 1247, 8600, 741, 3515, 267, 24853, 267, 543, 9117, 856, 10207, 26834, 2334, 4743, 540, 7772, 267, 10761, 267, 543, 9322, 568, 4010, 1018, 1004, 4810, 950, 789, 13984, 610, 3576, 851, 538, 19010, 24717, 12087, 25783, 845, 1734, 1572, 1412, 27714, 6575, 9538, 1452, 941, 2984, 4843, 676, 1455, 11570, 899, 6705, 267, 29940, 267, 18318, 267, 543, 29048, 1210, 8964, 267, 7544, 267, 2575, 267, 19929, 267, 10477, 17539, 267, 14969, 7802, 267, 543, 2189, 605, 1186, 269, 3767, 3085, 1405, 713, 3280, 4241, 2496, 4131, 781, 2263, 930, 4277, 3344, 540, 891, 9735, 12644, 2066, 1585, 2694, 540, 5607, 1384, 272, 269, 3127, 910, 962, 27232, 698, 3570, 281, 901, 20498, 14364, 1106, 688, 2812, 689, 31016, 25353, 25605, 1533, 538, 3162, 3127, 269, 898, 10905, 2609, 971, 607, 7524, 24853, 267, 6946, 2212, 613, 541, 267, 27105, 11132, 7215, 267, 9159, 1650, 6050, 6537, 5631, 689, 9699, 13299, 267, 543, 18546, 4328, 4282, 8464, 5129, 1210, 7405, 899, 25941, 324, 630, 320, 1826, 540, 14941, 1040, 589, 6093, 1397, 666, 2063, 782, 3781, 1279, 267, 5329, 9458, 7722, 11489, 21554, 256, 2052, 596, 4952, 9363, 909, 3735, 8384, 513, 13858, 12558, 540, 707, 5172, 7641, 3126, 267, 855, 9434, 20231, 715, 20846, 700, 32670, 286, 26272, 2439, 273, 269, 12868, 910, 10158, 836, 717, 1961, 330, 281, 20821, 6004, 269, 28523, 564, 2494, 256, 1261, 6770, 1272, 547, 11308, 12470, 1115, 1634, 607, 10158, 836, 717, 1961, 330, 269, 12267, 31721, 1472, 1434, 5288, 9409, 267, 1419, 1759, 593, 3504, 4095, 3134, 923, 10548, 27011, 543, 10067, 629, 9618, 1092, 269, 2060, 1175, 513, 1906, 2241, 5322, 267, 646, 5578, 2685, 6354, 12885, 1142, 1915, 781, 7099, 543, 3527, 3297, 513, 3043, 5496, 1396, 676, 3282, 22311, 269, 1215, 3579, 1131, 621, 581, 952, 9358, 1223, 3142, 9162, 9800, 899, 602, 693, 1753, 31841, 274, 269, 3624, 910, 590, 747, 10224, 28709, 281, 5620, 596, 4862, 827, 1412, 2183, 4657, 286, 262, 715, 2100, 267, 711, 4657, 8188, 899, 669, 877, 548, 976, 282, 3079, 267, 22407, 1689, 13556, 13968, 3592, 8216, 24345, 267, 6028, 4715, 2209, 27086, 256, 1358, 849, 14133, 538, 3595, 7244, 267, 1035, 13681, 18267, 267, 13465, 267, 15472, 267, 543, 19831, 6575, 269, 3807, 1589, 540, 27568, 9256, 1975, 573, 9007, 779, 22231, 267, 11635, 2006, 779, 9290, 2029, 267, 543, 4563, 654, 573, 578, 779, 8396, 1983, 883, 21450, 957, 2439, 275, 269, 3567, 910, 28763, 25431, 26308, 281, 8080, 547, 519, 1158, 540, 30891, 748, 24853, 267, 11495, 530, 12127, 267, 543, 10875, 1394, 323, 28979, 256, 20323, 3323, 676, 4775, 22407, 945, 2663, 3893, 17049, 1813, 547, 1799, 7394, 2623, 267, 737, 629, 25431, 2968, 2442, 1851, 5256, 11051, 4730, 1312, 5256, 543, 4775, 5107, 269, 4256, 3500, 267, 20982, 20517, 10483, 676, 20807, 532, 23964, 1711, 30811, 2833, 585, 13588, 1256, 2221, 256, 5994, 1373, 2111, 547, 2981, 3054, 883, 4888, 312, 24535, 610, 4888, 312, 8025, 5058, 10396, 5254, 17803, 2439, 276, 269, 17289, 910, 10609, 517, 19933, 30765, 281, 1403, 11419, 6888, 1185, 513, 3068, 267, 621, 1131, 1413, 899, 25249, 7900, 10609, 517, 269, 9122, 593, 14501, 689, 10548, 752, 1329, 630, 1320, 2967, 4528, 540, 10548, 27011, 1070, 3197, 1810, 3063, 341, 698, 656, 4154, 6122, 2378, 539, 13968, 543, 4190, 23157, 24224, 609, 10475, 21889, 269, 667, 19188, 1847, 11733, 1227, 2059, 609, 8106, 21487, 7574, 9311, 2939, 267, 1936, 908, 8941, 2407, 540, 7045, 267, 2648, 267, 543, 13919, 269, 14348, 333, 1405, 621, 1745, 9589, 547, 10581, 1472, 9849, 5230, 14446, 6730, 2995, 513, 1390, 1650, 31841, 3528, 1631, 267, 594, 4126, 596, 3858, 602, 12563, 6575, 2709, 811, 982, 6071, 9913, 282, 789, 8190, 2085, 6040, 5389, 267, 4001, 5837, 2418, 267, 6536, 2146, 16345, 267, 543, 1683, 17612, 3255, 1932, 269, 1924, 1985, 942, 2576, 12134, 1946, 1004, 1869, 1416, 827, 2025, 12563, 2145, 525, 543, 4249, 267, 2671, 707, 16012, 1620, 540, 713, 3638, 2686, 6561, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 28899, 2854, 3029, 2008, 347, 14532, 543, 8638, 2008, 291, 18769, 568, 519, 1808, 7154, 540, 5708, 6719, 538, 2773, 281, 513, 1404, 267, 22968, 267, 544, 830, 267, 29478, 267, 3092, 1421, 5340, 538, 513, 16222, 267, 610, 593, 5925, 610, 8613, 269, 3117, 30872, 607, 513, 9135, 540, 6965, 538, 2489, 267, 519, 10565, 7154, 814, 1044, 4334, 539, 609, 519, 12473, 543, 519, 11430, 3740, 12331, 2479, 2094, 17127, 781, 7313, 7497, 630, 322, 269, 476, 28178, 7460, 28931, 1492, 9998, 960, 540, 10565, 3069, 563, 763, 2165, 834, 323, 18769, 257, 2501, 689, 513, 5259, 2262, 2495, 834, 1372, 539, 257, 610, 834, 716, 257, 630, 12218, 673, 5259, 281, 24818, 16708, 413, 378, 370, 19031, 10382, 267, 1743, 5889, 2742, 1070, 799, 568, 6508, 689, 834, 296, 798, 257, 630, 12218, 673, 5259, 281, 24818, 16708, 31149, 22886, 267, 1743, 5451, 16230, 1040, 634, 1079, 13968, 2404, 609, 12416, 2099, 519, 2757, 13598, 6498, 1063, 18792, 543, 13357, 563, 1103, 2296, 630, 553, 729, 519, 26922, 2013, 538, 1082, 824, 3864, 4654, 1070, 519, 2262, 1404, 610, 3014, 630, 10520, 331, 908, 519, 17454, 29509, 5418, 384, 350, 534, 610, 5824, 561, 644, 639, 264, 729, 519, 3044, 2165, 585, 5559, 553, 2394, 5261, 9956, 781, 942, 1765, 3286, 607, 922, 17082, 729, 513, 1404, 2173, 6033, 2864, 982, 513, 5559, 520, 626, 543, 519, 2679, 729, 513, 1404, 27440, 2864, 982, 513, 16222, 563, 763, 946, 540, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 13083, 3203, 257, 607, 851, 540, 834, 11286, 1315, 7489, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 2290, 281, 4197, 20353, 7949, 20709, 538, 3345, 1977, 11982, 692, 2026, 6800, 267, 1082, 540, 721, 616, 6569, 689, 519, 2959, 540, 938, 1426, 267, 23387, 540, 519, 1950, 1949, 543, 4074, 2838, 547, 3132, 519, 29667, 344, 2139, 693, 938, 2199, 17365, 8637, 543, 16027, 781, 6990, 269, 901, 3184, 6663, 547, 1683, 606, 7650, 540, 27540, 11832, 2833, 1369, 519, 6694, 5823, 267, 3226, 538, 3345, 3013, 269, 1635, 3695, 519, 3140, 2796, 267, 15295, 4162, 267, 2324, 2175, 267, 543, 1514, 6286, 540, 713, 1898, 13781, 267, 649, 666, 1732, 1174, 519, 2591, 789, 3068, 543, 2015, 2081, 547, 12167, 585, 4023, 2126, 543, 12581, 4507, 780, 272, 269, 8466, 12745, 281, 634, 4858, 1356, 334, 5358, 543, 15332, 454, 763, 1686, 540, 27540, 4600, 538, 3345, 1977, 6683, 7389, 1394, 5553, 267, 1498, 835, 1713, 2680, 1282, 519, 4571, 268, 736, 628, 2540, 8032, 4207, 3270, 540, 9194, 269, 634, 4858, 1356, 334, 5358, 630, 3707, 273, 268, 3422, 275, 264, 729, 513, 1979, 5991, 1049, 6876, 1063, 6792, 543, 519, 2136, 2276, 602, 19658, 519, 10151, 7694, 540, 11204, 3484, 32305, 269, 9024, 7007, 1813, 547, 4074, 22520, 3361, 676, 2622, 2782, 4083, 267, 519, 1982, 4797, 1279, 1310, 519, 2112, 8694, 267, 5555, 3056, 547, 7839, 30852, 4478, 1970, 13848, 267, 4057, 2713, 2175, 267, 543, 14226, 269, 6736, 922, 26694, 538, 476, 3422, 275, 267, 519, 4858, 1356, 334, 5358, 9788, 519, 5748, 585, 5571, 9764, 9194, 3270, 1063, 6792, 543, 519, 772, 2529, 1421, 799, 6414, 2221, 780, 28657, 849, 814, 513, 3638, 1686, 540, 9001, 27540, 4074, 1369, 922, 6694, 5823, 269, 17897, 531, 16581, 20709, 5358, 630, 6347, 310, 303, 1070, 3964, 538, 476, 3422, 277, 267, 2636, 8225, 6705, 547, 16926, 10151, 4914, 4600, 5097, 689, 6792, 267, 25706, 267, 543, 1896, 824, 12144, 2477, 269, 5381, 4145, 3823, 1016, 20598, 2324, 2175, 267, 13230, 13103, 267, 543, 3908, 1569, 547, 2200, 3136, 547, 581, 6659, 538, 5717, 1472, 14408, 310, 303, 780, 272, 269, 5915, 16623, 543, 18567, 454, 300, 580, 7949, 4600, 7722, 538, 6683, 30339, 689, 3309, 10080, 267, 3084, 885, 267, 543, 2085, 2516, 269, 1717, 267, 1808, 3270, 10836, 950, 6313, 1239, 6394, 689, 1585, 4525, 2066, 3345, 3013, 269, 1280, 3236, 267, 538, 519, 2136, 2276, 267, 5111, 3368, 540, 782, 21534, 7693, 4600, 2697, 607, 4914, 23899, 267, 15866, 23608, 689, 6792, 269, 6684, 267, 538, 4516, 267, 5176, 476, 3199, 260, 540, 5171, 538, 519, 14408, 310, 303, 2097, 689, 6792, 269, 589, 8101, 6712, 540, 891, 2043, 5161, 540, 1762, 2367, 5275, 2804, 3255, 13383, 267, 4352, 2021, 543, 1453, 1419, 13173, 873, 267, 2870, 2189, 1920, 6384, 543, 2115, 780, 272, 269, 11554, 17148, 543, 25477, 7126, 454, 300, 580, 7949, 4600, 6964, 1369, 6683, 4749, 7237, 4101, 2324, 5054, 6353, 676, 9308, 14053, 4247, 267, 6905, 3108, 267, 543, 4598, 547, 10792, 4365, 2175, 269, 3958, 267, 1893, 7496, 267, 3668, 540, 23440, 609, 2199, 4031, 543, 6042, 267, 543, 4250, 540, 29854, 3565, 547, 16426, 4810, 676, 713, 2551, 269, 1452, 2188, 949, 1267, 538, 896, 516, 19959, 8320, 540, 9036, 7063, 267, 13230, 17403, 267, 543, 1016, 9953, 2711, 8027, 12417, 269, 2755, 1312, 519, 2136, 2276, 543, 4516, 723, 21892, 9086, 5497, 547, 2149, 27540, 4600, 262, 2924, 267, 11268, 3788, 22522, 267, 6028, 10616, 538, 4027, 543, 1489, 780, 272, 269, 31197, 543, 8889, 19047, 454, 292, 742, 2176, 547, 2087, 519, 2729, 540, 27540, 4600, 4125, 14223, 3906, 267, 3173, 267, 14519, 267, 543, 2146, 2818, 8149, 547, 5009, 5126, 543, 9698, 1369, 6683, 269, 20985, 7341, 2832, 547, 2232, 2152, 971, 607, 19684, 12375, 267, 1072, 543, 3106, 4441, 267, 543, 11444, 4724, 8628, 32031, 269, 5015, 267, 2502, 538, 6209, 5188, 7282, 28160, 1436, 267, 14051, 267, 543, 1480, 2924, 666, 948, 4161, 8789, 6386, 4478, 27540, 4600, 543, 1217, 3609, 3664, 16135, 538, 8296, 543, 2463, 780, 6637, 5565, 281, 10289, 16520, 11724, 725, 540, 20353, 7949, 4518, 518, 23800, 692, 19465, 2390, 938, 13654, 1620, 540, 27540, 11832, 2833, 1369, 3345, 1977, 6683, 267, 713, 3184, 12538, 883, 5339, 1568, 18995, 891, 2984, 269, 3414, 7421, 14070, 6386, 543, 29946, 4050, 2740, 676, 4589, 945, 723, 5030, 998, 2147, 6381, 267, 3988, 2744, 3407, 4030, 883, 519, 15491, 2470, 540, 1373, 513, 27540, 11832, 1247, 5807, 6568, 543, 7071, 585, 741, 6043, 780, 272, 269, 11470, 25315, 956, 3171, 520, 1005, 20353, 7949, 4518, 518, 16992, 454, 19617, 2730, 9089, 2263, 4798, 1644, 547, 27540, 11832, 2833, 267, 3246, 13857, 28402, 540, 3197, 10188, 2123, 2208, 7258, 14488, 269, 7324, 891, 10643, 616, 912, 265, 834, 763, 3883, 540, 32148, 4892, 257, 676, 595, 2077, 2088, 7009, 337, 6403, 4302, 345, 910, 589, 3532, 3818, 19356, 1049, 1650, 10704, 1472, 513, 7754, 16120, 1014, 1920, 882, 20814, 547, 26609, 538, 3406, 540, 4824, 2564 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 737, 29023, 15796, 267, 1018, 568, 1142, 13274, 720, 1634, 676, 888, 5416, 264, 13336, 536, 22395, 563, 14112, 8382, 5999, 454, 272, 269, 7316, 1705, 2637, 724, 529, 16679, 1205, 519, 2856, 547, 2328, 1524, 1010, 4031, 888, 273, 269, 7316, 1705, 7843, 340, 329, 514, 12404, 950, 646, 729, 986, 3660, 676, 519, 8585, 330, 1749, 888, 274, 269, 6904, 3924, 1185, 547, 2628, 9204, 896, 2637, 724, 529, 16679, 888, 275, 269, 7464, 1944, 646, 1500, 513, 12161, 538, 1010, 30671, 540, 7843, 340, 329, 514, 267, 744, 978, 16679, 4956, 547, 798, 1018, 888, 276, 269, 7316, 729, 645, 677, 324, 950, 7843, 340, 329, 514, 986, 3660, 519, 8585, 330, 1749, 888, 1607, 3296, 3568, 476, 25248, 1913, 454, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 264, 0, 763, 957, 540, 1374, 908, 267, 607, 513, 2990, 610, 4287, 267, 676, 1797, 540, 1945, 11329, 267, 607, 513, 9416, 610, 513, 11425, 563, 763, 957, 610, 1148, 540, 5309, 9822, 908, 282, 18685, 563, 763, 957, 540, 11423, 543, 18138, 519, 10549, 538, 544, 21863, 609, 27341, 267, 9160, 267, 3092, 5919, 849, 267, 519, 1570, 865, 1031, 563, 763, 27012, 1055, 540, 519, 1448, 540, 519, 10568, 10286, 538, 519, 1101, 1184, 540, 1164, 17819, 563, 763, 957, 610, 1184, 540, 7893, 267, 693, 519, 1585, 9883, 689, 519, 2627, 540, 513, 3625, 540, 18899, 267, 519, 2627, 540, 513, 2104, 4062, 540, 2493, 4231, 282, 849, 267, 513, 1184, 1031, 538, 5969, 519, 18533, 689, 519, 7376, 781, 2203, 563, 19669, 27897, 15061, 8755, 514, 1524, 519, 8265, 267, 15738, 602, 5068, 9416, 693, 803, 267, 789, 782, 8263, 1250, 2186, 786, 6749, 543, 5884, 267, 855, 594, 6415, 27613, 5951, 1250, 1954, 752, 9206, 1164, 269, 13343, 328, 26673, 3700, 454, 2691, 513, 812, 2798, 513, 9416, 693, 2576, 3116, 267, 646, 1058, 3314, 602, 2185, 540, 1010, 11263, 616, 15738, 693, 5128, 269, 8402, 715, 6500, 454, 2791, 1810, 1405, 1291, 676, 15738, 543, 10213, 1004, 930, 1747, 547, 979, 269, 1411, 1291, 676, 2469, 547, 602, 1747, 543, 1818, 513, 2013, 269, 8230, 918, 3150, 344, 454, 7069, 2418, 267, 938, 2418, 267, 5749, 1405, 827, 15738, 11263, 269, 1358, 616, 827, 5356, 513, 4543, 1688, 269, 22186, 22220, 2349, 534, 1723, 454, 3383, 1577, 781, 711, 946, 513, 18935, 639, 269, 1284, 2811, 2469, 547, 946, 519, 1655, 15738, 3926, 538, 519, 1158, 269, 1284, 2811, 2469, 547, 946, 513, 15738, 3926, 602, 649, 2811, 782, 4535, 609, 910, 4535, 609, 4557, 540, 873, 269, 1284, 2811, 2469, 547, 946, 938, 11263, 269, 1284, 2811, 2469, 547, 5905, 713, 609, 938, 11263, 269, 1656, 649, 723, 11827, 513, 1007, 2029, 1572, 3818, 2389, 13224, 267, 799, 568, 5039, 531, 269, 898, 1568, 899, 9059, 269, 19378, 22868, 0, 4462, 2193, 8751, 781, 16410, 514, 281, 2107, 267, 5020, 7324, 519, 8899, 569, 630, 22709, 10369, 28980, 994, 8253, 769, 14351, 910, 7981, 11352, 630, 20428, 547, 2997, 22355, 994, 6635, 7666, 2406, 519, 1034, 9565, 3209, 538, 1977, 1686, 267, 1133, 2193, 8751, 781, 16410, 514, 535, 10165, 519, 900, 1499, 540, 519, 6560, 1063, 1863, 2829, 543, 10553, 2829, 883, 519, 3595, 540, 519, 6406, 2782, 7146, 568, 607, 3532, 543, 4143, 2221, 607, 950, 621, 729, 1101, 3370, 513, 2540, 543, 513, 3368, 3516, 563, 10666, 519, 8191, 454, 19604, 28625, 2142, 1815, 615, 853, 578, 324, 630, 8687, 272, 268, 6245, 277, 264, 729, 4535, 538, 700, 3558, 7615, 267, 21086, 267, 8250, 540, 519, 1234, 3164, 526, 10370, 2006, 2142, 1815, 615, 540, 519, 2199, 5556, 2958, 1049, 5783, 269, 769, 476, 8146, 273, 267, 519, 1920, 6410, 547, 595, 32385, 10620, 267, 1141, 4498, 28625, 9310, 27869, 32762, 853, 578, 324, 267, 513, 7548, 693, 519, 5033, 2435, 267, 538, 476, 8146, 277, 269, 634, 8473, 4884, 540, 595, 32385, 10620, 729, 9800, 609, 20552, 626, 4655, 543, 972, 11427, 269, 853, 578, 324, 3576, 606, 3742, 851, 538, 2146, 1272, 269, 2701, 3357, 883, 3346, 609, 535, 1872, 1438, 10437, 267, 543, 4121, 689, 2828, 543, 689, 2123, 11564, 1018, 1272, 729, 899, 585, 519, 27740, 538, 519, 3162, 269, 769, 476, 6977, 271, 267, 519, 674, 1872, 1438, 32013, 4521, 729, 5293, 267, 543, 602, 1482, 1032, 4498, 28625, 779, 11078, 2987, 25237, 24016, 519, 2278, 547, 2322, 1200, 4606, 827, 519, 859, 2812, 540, 8474, 883, 1913, 269, 1133, 2193, 8751, 779, 16410, 514, 729, 1101, 3370, 1583, 6053, 1282, 476, 6977, 272, 268, 7367, 538, 634, 2817, 16527, 267, 543, 538, 1433, 1106, 538, 476, 6977, 273, 269, 769, 835, 1032, 811, 982, 476, 4968, 267, 1822, 12215, 540, 519, 3209, 941, 4421, 269, 11427, 269, 853, 578, 324, 4797, 547, 2328, 267, 13629, 22221, 824, 9089, 543, 3875, 4930, 1354, 1200, 2669, 693, 519, 2085, 540, 32210, 19317, 538, 19134, 5112, 267, 21086, 269, 0, 297, 6064, 1426, 568, 513, 890, 329, 20753, 2165, 585, 1426, 5627, 1164, 2157, 540, 8477, 689, 4006, 610, 3170, 609, 2370, 3940, 267, 8324, 610, 6886, 630, 5408, 8192, 2609, 1040, 2422, 540, 519, 2165, 10522, 602, 513, 1880, 1426, 814, 2370, 834, 333, 26798, 1871, 257, 543, 3568, 7050, 3170, 267, 4006, 267, 6070, 267, 543, 8477, 563, 8601, 1373, 13042, 607, 834, 329, 6064, 2437, 971, 3536, 2356, 798, 711, 10460, 1022, 7525, 1072, 4145, 543, 616, 3622, 2922, 950, 7471, 883, 513, 1134, 7059, 2732, 269, 1717, 267, 4145, 827, 519, 2942, 1072, 2360, 4611, 689, 519, 4616, 540, 513, 834, 329, 6064, 1426, 27324, 515, 8283, 2732, 723, 8507, 538, 1857, 1072, 4656, 11044, 267, 543, 9993, 593, 10229, 543, 9042, 538, 1896, 2477, 563, 14240, 540, 834, 329, 6064, 1426, 4840, 4517, 4319, 674, 269, 8055, 267, 538, 1010, 1433, 267, 15610, 540, 808, 6064, 5253, 543, 16258, 5253, 11225, 22938, 1426, 607, 834, 29006, 5010, 2472, 267, 1519, 17711, 267, 29221, 2044, 5370, 267, 4672, 8645, 267, 30644, 16152, 267, 543, 2571, 10425, 267, 799, 723, 2370, 610, 1100, 9422, 1871, 855, 798, 723, 7899, 540, 8477, 267, 6070, 267, 543, 9600, 269, 2755, 711, 782, 3728, 3536, 616, 22938, 3536, 267, 1034, 616, 269, 16258, 3536, 616, 4712, 3562, 3887, 520, 3536, 6039, 16425, 1310, 19280, 269, 2368, 3728, 3536, 616, 1164, 538, 8477, 543, 1970, 538, 9422, 1871, 267, 1247, 824, 3728, 3536, 267, 971, 607, 25235, 267, 949, 581, 1970, 538, 8477, 543, 1164, 538, 9422, 1871, 4799, 15933, 338, 4122, 2808, 22938, 3536, 1331, 2892, 1540, 15165, 3536, 267, 10733, 267, 17711, 267, 6653, 28916, 267, 22304, 3728, 1426, 267, 543, 24494, 3327, 730, 16098, 269, 3509, 3536, 971, 607, 554, 27304, 619, 267, 16741, 267, 543, 512, 659, 657, 666, 581, 2808, 2901, 2635, 610, 22938, 1426, 4470, 593, 741, 5820, 543, 7041, 2409, 269, 634, 811, 3810, 9268, 3688, 2356, 2887, 896, 519, 22938, 1426, 7121, 267, 1519, 14254, 24799, 602, 616, 6140, 4006, 610, 1164, 1922, 28229, 8970, 21360, 543, 3043, 7912, 610, 1984, 539, 8970, 563, 1432, 568, 543, 568, 711, 22938, 1426, 666, 849, 4096, 593, 513, 1268, 781, 1362, 543, 1514, 4567, 267, 609, 5763, 1512, 1004, 512, 2056, 547, 723, 513, 6626, 4214, 267, 543, 2539, 13867, 6800, 7487, 7864, 3536, 607, 22938, 1426, 269, 23883, 538, 519, 2013, 540, 6803, 3536, 267, 513, 8760, 607, 834, 329, 6064, 1426, 257, 1223, 581, 9228, 607, 2864, 18086, 267, 2016, 602, 971, 3536, 949, 723, 1044, 5423, 543, 10057, 585, 5553, 543, 949, 2270, 2635, 5820, 269, 769, 519, 1433, 267, 7754, 545, 13780, 281, 1133, 335, 10107, 519, 3733, 2195, 1284, 2811, 570, 1245, 6168, 5253, 543, 2657, 267, 513, 14911, 1448, 568, 11130, 281, 1426, 568, 1426, 267, 543, 952, 972, 568, 1100, 9422, 1871, 267, 1287, 621, 3884, 1405, 513, 1426, 540, 1022, 1826, 267, 834, 329, 6064, 257, 610, 6382, 269, 3213, 24737, 3218, 27673, 29485, 6941, 267, 834, 2414, 6003, 513, 1426, 607, 1412, 329, 6064, 262, 568, 1175, 1776, 1259, 540, 6031, 267, 1412, 296, 7106, 17311, 540, 621, 9538, 1703, 616, 3983, 11326, 910, 602, 568, 267, 3983, 23399, 543, 9424, 540, 1426, 910, 855, 972, 616, 1100, 1412, 21112, 3536, 262, 4849, 1346, 602, 723, 1831, 3983, 998, 12526, 610, 21324, 4799, 763, 2165, 22938, 1426, 7389, 1394, 547, 519, 2038, 476, 4198, 271, 338, 267, 4352, 621, 814, 1044, 4080, 602, 621, 729, 22579, 538, 476, 3192, 273, 676, 7812, 674, 269, 15243, 5459, 540, 519, 4741, 585, 3163, 538, 519, 5398, 9314, 269, 769, 476, 4198, 273, 267, 621, 7902, 538, 513, 2212, 1467, 538, 519, 7799, 320, 267, 11882, 267, 5240, 267, 834, 290, 22929, 267, 595, 820, 267, 1412, 297, 6064, 16639, 262, 20531, 5395, 1190, 5689, 19256, 21968, 538, 476, 3707, 279, 267, 513, 2212, 1467, 538, 519, 29142, 6577, 267, 18096, 267, 9208, 268, 2750, 3133, 518, 3357, 2673, 609, 267, 834, 7804, 269, 17659, 344, 779, 2657, 28758, 281, 2859, 808, 6064, 20537, 5253, 4799, 297, 6064, 1426, 538, 922, 1585, 3029, 568, 5393, 2442, 267, 543, 606, 7533, 851, 540, 2413, 2442, 2528, 269, 769, 519, 2475, 267, 5993, 3728, 1426, 6455, 616, 538, 519, 1858, 540, 1269, 8182, 5479, 267, 3379, 547, 2706, 21466, 6455, 540, 1269, 30663, 5479, 630, 320, 4137, 799, 849, 2882, 22938, 1426, 538, 519, 1106, 540, 13418, 3536, 267, 15165, 3536, 267, 543, 17711, 1040, 769, 476, 3192, 277, 267, 834, 297, 6064, 5253, 808, 6064, 773, 2437, 519, 9661, 540, 513, 22938, 1426, 13982, 945, 5910, 1742, 547, 1246, 513, 2635, 2732, 676, 1554, 267, 1247, 693, 3781, 646, 804, 663, 32347, 569, 27580, 2471, 593, 21118, 612, 3828, 1074, 625, 543, 674, 761, 657, 8970, 13365, 267, 22413, 4689, 1091, 543, 918, 15598, 267, 2968, 513, 5440, 476, 1015, 1402, 5734, 538, 519, 2475, 269, 774, 8812, 29350, 1296, 2663, 267, 5384, 5116, 519, 3828, 1074, 773, 693, 1948, 272, 538, 922, 834, 12749, 476, 1015, 27748, 545, 808, 6064, 16639, 257, 2027, 4183, 281, 834, 8253, 1152, 1862, 320, 1292, 560, 599, 593, 938, 2706, 21466, 21684, 543, 538, 938, 11350, 625, 267, 789, 4312, 1044, 513, 20013, 538, 938, 2442, 2528, 543, 267, 1657, 782, 267, 538, 938, 12271, 269, 10705, 22309, 585, 922, 3668, 540, 1022, 9422, 1871, 31049, 267, 519, 3828, 1074, 773, 814, 7307, 547, 829, 572, 3164, 607, 513, 2686, 543, 8819, 1258, 13929, 12835, 4799, 763, 4430, 3170, 267, 11950, 267, 543, 9268, 4006, 1336, 538, 22938, 1426, 8309, 547, 606, 2799, 1981, 540, 9025, 2068, 267, 3987, 267, 2597, 2744, 267, 543, 1082, 824, 5312, 1072, 2175, 269, 589, 1353, 676, 6754, 9652, 543, 6754, 918, 10154, 693, 519, 2480, 23774, 338, 3194, 4659, 538, 476, 1220, 279, 6700, 602, 22938, 1426, 4616, 32290, 2634, 2534, 538, 513, 6073, 2147, 547, 22925, 5061, 899, 25933, 543, 5869, 514, 269, 2991, 1082, 4374, 609, 19957, 1569, 547, 22938, 1426, 267, 519, 12257, 7740, 540, 3731, 12058, 2968, 964, 31731, 1242, 267, 8506, 811, 1426, 585, 12257, 269, 2991, 519, 22938, 1426, 729, 3144, 2476, 543, 8719, 609, 513, 2635, 2732, 267, 519, 14148, 5182, 1386, 585, 1079, 4374, 3079, 540, 4189, 14312, 24214, 269, 589, 476, 1220, 278, 3703, 4750, 540, 12594, 1353, 1336, 602, 4775, 14148, 945, 3548, 22938, 1426, 1282, 6379, 2799, 519, 10171, 540, 14432, 4189, 6208, 538, 741, 15556, 563, 12901, 328, 18191, 6064, 1426, 3800, 454, 288, 1297, 540, 2477, 723, 7550, 267, 610, 616, 6236, 267, 1585, 3029, 540, 5977, 3836, 2962, 547, 26193, 22938, 1426, 4616, 269, 769, 476, 1001, 275, 267, 2136, 8315, 7981, 681, 1952, 677, 16725, 593, 519, 1318, 547, 1072, 267, 1323, 663, 23108, 591, 267, 5950, 1010, 1867, 267, 834, 4462, 11794, 3536, 267, 1875, 268, 10919, 27809, 3676, 543, 519, 1318, 547, 1072, 2223, 543, 1572, 585, 6608, 547, 834, 339, 820, 3800, 267, 971, 607, 3384, 1426, 543, 6484, 4808, 585, 2635, 11326, 267, 15725, 6725, 543, 10229, 540, 22938, 1426, 267, 12561, 7082, 7888, 2978, 2454, 540, 1426, 2472, 267, 543, 9591, 12477, 6127, 585, 19374, 540, 519, 1318, 547, 1072, 4799, 1103, 606, 3801, 547, 2569, 22938, 1426, 4616, 998, 3902, 1852, 267, 3029, 540, 28522, 990, 1014, 21259, 723, 1044, 8045, 269, 28080, 7566, 15459, 3170, 4616, 267, 16862, 5189, 519, 1158, 781 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 839, 543, 741, 6286, 269, 1280, 1761, 18046, 267, 12423, 513, 561, 1329, 593, 513, 3959, 949, 6318, 4145, 827, 11449, 621, 269, 589, 561, 1329, 635, 27289, 519, 11834, 1184, 543, 1223, 1291, 547, 3606, 3790, 610, 17799, 269, 5047, 267, 11449, 513, 3959, 609, 606, 4540, 561, 1329, 949, 1267, 538, 519, 23138, 4742, 3743, 585, 9878, 1055, 519, 14222, 7963, 563, 11997, 267, 621, 568, 1898, 585, 18046, 547, 2932, 9488, 1382, 593, 1022, 15073, 839, 4448, 547, 3601, 789, 616, 5461, 538, 9140, 269, 1358, 666, 798, 713, 676, 6313, 1857, 5638, 543, 13844, 2140, 5359, 689, 2140, 3549, 269, 2201, 519, 824, 1688, 267, 23965, 1058, 849, 581, 3222, 540, 1022, 15073, 839, 7923, 547, 741, 3601, 1354, 12394, 547, 6133, 873, 563, 299, 16772, 666, 6175, 519, 1871, 540, 519, 3959, 543, 15658, 1761, 18046, 689, 1818, 3091, 269, 5047, 267, 796, 637, 9407, 15073, 839, 949, 2014, 17799, 538, 14656, 610, 1256, 14275, 1518, 6455, 11650, 952, 711, 9619, 16425, 269, 1677, 2057, 891, 2152, 543, 2327, 5347, 8852, 267, 23965, 1590, 1491, 3268, 547, 8207, 15073, 839, 543, 1683, 2312, 10643, 547, 17053, 18046, 563, 763, 1985, 3296, 786, 1865, 1585, 2409, 2139, 585, 20547, 15073, 839, 538, 3959, 8852, 7561, 543, 3927, 563, 4910, 6295, 9149, 839, 769, 16296, 3690, 13905, 454, 5331, 596, 616, 11449, 707, 5326, 1753, 267, 543, 10393, 596, 3605, 972, 1522, 581, 513, 561, 1329, 593, 519, 3959, 269, 901, 1522, 3280, 899, 513, 3781, 332, 732, 267, 855, 1620, 875, 15073, 839, 960, 543, 875, 547, 8207, 873, 666, 948, 1118, 519, 1184, 23704, 563, 1103, 3959, 8852, 267, 513, 561, 1329, 14516, 568, 606, 1367, 610, 11769, 602, 814, 513, 3656, 3409, 547, 519, 3959, 1813, 547, 10002, 4660, 13800, 676, 519, 1699, 8227, 269, 1452, 13800, 1223, 1331, 10002, 4660, 9204, 267, 12029, 267, 610, 824, 22440, 563, 4910, 6295, 15073, 839, 538, 3959, 8852, 568, 606, 1898, 1900, 538, 4180, 513, 5347, 4483, 540, 9562, 269, 634, 1101, 1900, 538, 20547, 1022, 561, 1329, 568, 7114, 922, 6228, 543, 2470, 269, 2290, 1259, 547, 798, 713, 568, 676, 10647, 513, 2140, 3406, 267, 799, 786, 7866, 1022, 14222, 15073, 839, 593, 519, 3959, 563, 5629, 4857, 267, 621, 781, 2629, 547, 7017, 891, 22440, 1354, 3001, 4464, 609, 519, 11834, 269, 901, 949, 2154, 27410, 609, 519, 561, 1329, 14516, 267, 945, 1522, 3858, 547, 5305, 741, 3409, 2390, 8391, 8569, 610, 8757, 513, 20102, 11807, 6876, 563, 5475, 6707, 23928, 782, 14222, 15073, 839, 593, 519, 3959, 267, 621, 781, 1271, 547, 3489, 12319, 18445, 741, 6571, 269, 901, 12319, 1058, 581, 19429, 609, 519, 3617, 10315, 5604, 543, 3773, 547, 519, 1857, 2594, 607, 6169, 602, 782, 22440, 723, 1044, 6976, 543, 23498, 689, 519, 2140, 563, 3528, 2921, 891, 3268, 547, 8207, 15073, 839, 538, 3959, 8852, 267, 17053, 18046, 666, 18390, 1847, 4464, 6616, 789, 616, 16565, 513, 2973, 2140, 585, 741, 1007, 1753, 269, 2060, 713, 1702, 538, 1688, 267, 1577, 781, 2263, 2081, 547, 2149, 707, 4690, 1282, 713, 5732, 1950, 1184, 1510, 4743, 16397, 610, 19531, 730, 563, 28406, 532, 2659, 9314, 338, 4438, 634, 6713, 454, 5331, 519, 10761, 540, 16565, 513, 1007, 3959, 267, 1152, 547, 3605, 602, 972, 616, 6456, 8374, 602, 1223, 28855, 1125, 707, 9562, 269, 1677, 2057, 713, 796, 3553, 339, 1782, 1995, 267, 621, 568, 2629, 547, 1174, 519, 1909, 540, 513, 561, 1329, 14516, 538, 3959, 8852, 543, 875, 547, 2149, 707, 4690, 1282, 713, 1184, 563, 288, 561, 1329, 14516, 568, 606, 1367, 610, 11769, 602, 814, 513, 3656, 3409, 593, 513, 3959, 1813, 547, 10002, 4660, 22440, 676, 519, 1699, 8227, 269, 901, 666, 581, 513, 20251, 561, 2658, 267, 2964, 545, 267, 610, 1256, 513, 2229, 8116, 269, 1879, 519, 7963, 568, 6976, 1055, 267, 519, 561, 1329, 568, 6569, 689, 519, 3959, 2140, 267, 3850, 585, 513, 5347, 4483, 540, 9562, 269, 1717, 267, 952, 519, 7963, 3788, 10002, 4660, 543, 596, 6718, 519, 3959, 1510, 6616, 827, 4540, 15073, 839, 267, 596, 949, 1831, 25964, 585, 891, 14222, 2883, 13800, 563, 2414, 16102, 707, 5092, 543, 2327, 4708, 540, 2247, 1282, 3959, 8852, 267, 621, 568, 4105, 547, 2932, 9488, 1382, 1354, 3803, 1944, 1022, 6876, 563, 5575, 543, 19466, 267, 3489, 513, 2140, 1867, 593, 519, 3959, 538, 2243, 282, 713, 3561, 3568, 1344, 827, 4540, 15073, 839, 543, 1761, 9562, 13882, 269, 5047, 267, 2015, 11449, 2140, 6142, 607, 606, 3063, 4494, 540, 4027, 1996, 2009, 15073, 839, 602, 941, 711, 7620, 31889, 538, 519, 2140, 1867, 563, 15563, 267, 5077, 609, 4810, 4648, 971, 607, 1483, 10040, 8069, 610, 27192, 945, 666, 1683, 3407, 5583, 2429, 713, 1950, 1184, 269, 1635, 2921, 891, 2629, 3268, 543, 1373, 14942, 538, 7863, 707, 4690, 267, 596, 786, 581, 1134, 1790, 10517, 1563, 547, 6330, 1022, 2591, 602, 949, 8451, 1282, 3959, 8852, 5473, 561, 1329, 6868, 563, 21761, 18542, 5999, 454, 1692, 2052, 589, 15783, 16179, 518, 10576, 1403, 589, 16296, 13201, 7102, 9149, 839, 5900, 3737, 1677, 898, 6969, 10435, 1323, 20644, 888, 1103, 519, 1184, 540, 11449, 513, 3959, 267, 621, 568, 2629, 585, 1761, 18046, 547, 3313, 952, 1022, 15073, 839, 616, 7923, 547, 621, 1354, 1818, 606, 2709, 563, 288, 561, 1329, 568, 513, 3656, 3409, 593, 519, 3959, 602, 949, 723, 1044, 5116, 676, 5491, 832, 610, 824, 6105, 607, 513, 1267, 540, 10002, 4660, 22440, 610, 13800, 563, 2414, 2697, 952, 513, 3959, 814, 1022, 15073, 839, 267, 18046, 666, 1491, 1896, 3268, 971, 607, 10647, 513, 2140, 3406, 267, 17265, 10315, 5638, 267, 543, 13844, 513, 2140, 1867, 689, 513, 18019, 2140, 2754, 563, 3528, 2921, 891, 3800, 267, 18046, 666, 2327, 789, 616, 1818, 5483, 3664, 543, 2057, 2009, 2152, 609, 9562, 610, 2883, 13800, 538, 519, 2104, 563, 4692, 589, 700, 1329, 14516, 6875, 25334, 11970, 2986, 634, 16296, 1403, 634, 700, 1329, 1772, 3502, 623, 4660, 5510, 769, 5384, 888, 1103, 519, 2680, 602, 513, 561, 1329, 568, 711, 6976, 1055, 1369, 519, 9138, 942, 18134, 267, 513, 561, 1329, 14516, 814, 519, 3656, 1318, 547, 1491, 15896, 540, 519, 3959, 563, 1607, 1184, 267, 1634, 607, 2062, 26918, 267, 2636, 519, 561, 1329, 14516, 547, 6133, 519, 3959, 538, 1931, 547, 9156, 519, 14222, 7963, 563, 299, 16772, 666, 581, 17319, 610, 32246, 267, 4470, 593, 2436, 519, 3959, 8227, 23216, 547, 873, 786, 5944, 610, 711, 563, 2005, 568, 2629, 585, 3959, 5411, 547, 581, 3222, 540, 1022, 4540, 15073, 839, 543, 1118, 2556, 12417, 547, 2628, 873, 1055, 610, 21907, 609, 561, 1329, 6868, 547, 2057, 9561, 741, 3959, 563, 20118, 267, 1761, 18046, 1058, 1685, 1813, 31806, 538, 7114, 15073, 839, 593, 3601, 789, 616, 5461, 538, 11449, 267, 607, 891, 22440, 949, 1831, 741, 5539, 2390, 16565, 9562, 563, 1432, 1772, 634, 6713, 1280, 18734, 2590, 589, 700, 1329, 1677, 589, 1715, 13574, 518, 1403, 634, 16296, 1772, 22307, 6969, 634, 700, 1329, 1772, 1763, 9407, 888, 1103, 519, 2680, 602, 513, 3959, 609, 606, 796, 637, 9407, 561, 1329, 568, 4421, 267, 519, 1184, 540, 22151, 519, 561, 1329, 547, 519, 1007, 8227, 3322, 1896, 3268, 563, 22873, 6053, 267, 1312, 6105, 1590, 3858, 593, 875, 547, 6023, 519, 14222, 561, 1329, 1282, 519, 19908, 543, 26004, 540, 519, 6718, 6876, 269, 901, 949, 4125, 519, 22673, 9878, 1055, 610, 27410, 513, 11175, 585, 519, 561, 1329, 1354, 14656, 267, 610, 621, 1223, 4125, 22151, 5539, 585, 20547, 519, 561, 1329, 547, 519, 23138, 563, 26796, 8757, 606, 6876, 267, 621, 1058, 581, 13006, 538, 1603, 543, 3769, 538, 519, 6718, 6876, 269, 2311, 14656, 267, 1022, 2556, 11033, 610, 12417, 1644, 547, 23928, 610, 22151, 519, 561, 1329, 616, 3803, 1242, 267, 4180, 602, 1312, 6105, 11886, 741, 13800, 607, 13890, 538, 519, 6876, 563, 27407, 267, 621, 568, 2629, 585, 782, 6105, 3238, 547, 5693, 5968, 543, 28111, 2429, 713, 1184, 547, 2057, 8374, 543, 2327, 513, 5347, 5912, 540, 3959, 9562, 563, 6701, 1703, 7102, 7981, 19047, 1280, 16179, 619, 2107, 590, 25527, 1546, 2718, 2060, 589, 16296, 12833, 9407, 769, 589, 5983, 26918, 9603, 1677, 1323, 1133, 335, 4660, 700, 1329, 888, 1103, 3959, 8852, 5473, 2062, 26918, 1813, 547, 606, 10002, 4660, 561, 1329, 267, 1312, 18046, 543, 23965, 1590, 581, 3222, 540, 2027, 9270, 547, 2327, 513, 5347, 1184, 563, 24246, 619, 1058, 2932, 9488, 1382, 593, 519, 3959, 781, 1686, 267, 1519, 1022, 4540, 15073, 839, 267, 799, 949, 1860, 741, 2702, 547, 3489, 2312, 2140, 269, 898, 568, 2629, 585, 18046, 547, 960, 5702, 609, 4810, 1483, 10040, 4648, 267, 971, 607, 8069, 543, 27192, 267, 945, 666, 3391, 873, 998, 519, 10848, 540, 11449, 513, 2062, 743, 2216, 3959, 563, 4002, 519, 824, 1688, 267, 23965, 7231, 609, 2062, 26918, 723, 3908, 3681, 855, 949, 2015, 27410, 609, 519, 561, 1329, 14516, 585, 513, 2110, 9042, 610, 10211, 14842, 6876, 547, 7413, 2883, 2530, 543, 1761, 2942, 5491, 1764, 563, 14454, 267, 1620, 543, 5466, 519, 2189, 2591, 2404, 609, 3601, 538, 2062, 26918, 568, 1898, 585, 1312, 6105, 547, 3035, 513, 3811, 11834, 6364, 563, 1692, 2052, 589, 5851, 26782, 2598, 335, 1393, 589, 700, 1329, 1403, 1358, 5617, 10079, 898, 13201, 2142, 523, 674, 6150, 769, 18438, 2107, 9453, 7743, 3807, 2305, 888, 1103, 519, 2680, 602, 513, 1753, 26782, 11099, 513, 561, 1329, 814, 1044, 19429, 1996, 741, 3959, 538, 5470, 610, 1510, 1697, 24134, 267, 621, 568, 2629, 547, 1491, 3268, 547, 15539, 519, 561, 1329, 16425, 563, 763, 1101, 1900, 3322, 11018, 4143, 12319, 543, 2963, 547, 1489, 741, 3409, 267, 971, 607, 2256, 328, 14186, 610, 11731, 563, 9202, 267, 32296, 519, 561, 1329, 3409, 656, 543, 7234, 519, 3510, 949, 948, 8207, 519, 3390, 993, 545, 2406, 1510, 3656, 6304, 563, 2252, 513, 6571, 3112, 581, 6603, 998, 1463, 2792, 267, 5275, 3656, 8480, 543, 5732, 25937, 513, 27779, 547, 723, 519, 561, 1329, 6569, 949, 1831, 2556, 563, 2005, 568, 1898, 585, 21427, 547, 957, 3533, 538, 891, 3871, 267, 607, 796, 637, 9407, 15073, 839, 666, 11874, 1860, 741, 2702, 547, 6133, 610, 1201, 12099, 741, 3959, 267, 3056, 547, 2883, 8833, 543, 1761, 2530, 540, 9562, 563, 1103, 3932, 267, 1620, 519, 1909, 540, 513, 561, 1329, 14516, 538, 3959, 8852, 568, 2629, 585, 1312, 18046, 543, 23965, 269, 9149, 839, 666, 1764, 519, 9042, 1184, 267, 607, 1134, 607, 519, 2924, 543, 9021, 540, 782, 6105, 3238, 563, 2005, 568, 1898, 547, 2697, 1022, 15073, 839, 7923, 547, 513, 3959, 1354, 1818, 606, 2709, 267, 581, 3222, 540, 519, 1761, 4539, 952, 513, 561, 1329, 568, 711, 6976, 1055, 538, 942, 267, 543, 917, 519, 1184, 585, 22151, 15073, 839, 1282, 513, 3959, 9042, 563, 12234, 267, 2027, 9270, 1058, 581, 3144, 883, 2272, 950, 7231, 609, 3601, 3238, 538, 2062, 26918, 1813, 547, 10002, 4660, 15073, 839, 269, 5851, 14935, 945, 3494, 602, 513, 561, 1329, 814, 1044, 19429, 538, 5470, 610, 1510, 1697, 24134, 723, 519, 1318, 547, 15539, 621, 563, 3528, 1373, 5483, 827, 15073, 839, 543, 561, 1329, 6868, 267, 2043, 7722, 538, 3959, 8852, 666, 1732, 2149, 741, 4690, 543, 2327, 23704, 8852, 269, 0, 14630, 540, 13815, 454, 2710, 2758, 540, 13898, 454, 298, 622, 918, 1467, 267, 3798, 6185, 563, 763, 25564, 16827, 267, 1912, 6185, 563, 300, 926, 2274, 9109, 267, 1912, 6185, 563, 4517, 344, 21469, 338, 267, 667, 6993, 563, 21995, 5013, 267, 6128, 267, 8691, 267, 2994, 267, 1016, 527, 1125, 267, 3308, 454, 763, 1565, 540, 2596, 5013, 267, 610, 519, 18304, 543, 2472, 540, 2338, 476, 271, 1700, 1015, 543, 741, 1644, 3604, 543, 9889, 1801, 267, 814, 2141, 1044, 513, 1164, 10862, 585, 10026, 1153, 3610, 269, 2755, 8357, 1436, 540, 2596, 5013, 814, 1044, 513, 10689, 5658, 540, 10026, 1153, 267, 1699, 7840, 1445, 593, 513, 811, 13857, 1646, 540, 21711, 609, 891, 5013, 269, 12071, 1890, 568, 6353, 676, 519, 2702, 547, 6542, 8112, 267, 6111, 267, 4398, 267, 543, 3617, 4640, 946, 269, 6736, 7840, 547, 1445, 593, 4640, 946, 267, 972, 568, 13385, 1344, 593, 14292, 4485, 602, 616, 2500, 585, 3384, 2994, 267, 3226, 585, 8691, 5013, 269, 4635, 3308, 11052, 609, 12297, 3270 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 568, 20855, 3316, 14024, 888, 298, 534, 3316, 14024, 568, 513, 1788, 2359, 1907, 602, 26779, 23182, 609, 717, 2672, 924, 585, 4065, 269, 898, 2636, 1053, 547, 1711, 513, 4604, 267, 1039, 4247, 267, 543, 12840, 593, 1279, 3856, 3785, 269, 898, 781, 2012, 24865, 689, 20855, 3316, 267, 513, 1788, 2359, 4640, 1031, 538, 1082, 1114, 4213, 543, 3906, 563, 3963, 568, 713, 513, 1390, 1907, 888, 2252, 596, 723, 1053, 2324, 593, 1279, 3856, 3785, 543, 1616, 873, 547, 581, 24625, 908, 543, 23712, 593, 2789, 4247, 607, 519, 1482, 942, 267, 20855, 3316, 14024, 568, 513, 1390, 1907, 547, 948, 873, 3251, 593, 4305, 269, 5741, 2359, 568, 513, 1360, 1271, 543, 3730, 5578, 602, 789, 786, 3136, 547, 946, 538, 519, 13781, 269, 898, 666, 849, 581, 1031, 676, 3610, 547, 11617, 3950, 519, 3356, 540, 1053, 998, 513, 1184, 563, 1692, 798, 594, 946, 621, 888, 19350, 568, 513, 1404, 4289, 540, 7044, 547, 2731, 1205, 547, 917, 782, 519, 2934, 540, 20855, 3316, 14024, 269, 6423, 519, 2854, 8846, 2630, 547, 1451, 811, 827, 875, 596, 666, 946, 621, 607, 513, 4116, 563, 763, 1655, 1259, 547, 1129, 538, 568, 693, 4179, 2517, 16988, 3316, 7302, 328, 269, 1952, 4944, 582, 2593, 28918, 1403, 596, 616, 1210, 606, 27317, 267, 4945, 519, 2671, 7735, 543, 834, 5417, 547, 1753, 5496, 1701, 901, 786, 1711, 606, 813, 12835, 602, 2636, 1053, 543, 3610, 547, 3533, 10131, 20855, 3316, 14024, 269, 20855, 3316, 14024, 1568, 519, 1482, 593, 606, 27317, 1210, 6380, 926, 607, 621, 1281, 538, 24904, 593, 513, 5839, 9349, 269, 1411, 786, 581, 19430, 547, 21189, 609, 5616, 563, 5629, 596, 2845, 538, 547, 20855, 3316, 14024, 267, 596, 786, 1294, 513, 5496, 602, 5654, 899, 713, 269, 1411, 666, 1711, 12545, 543, 1294, 519, 3283, 602, 616, 3838, 609, 596, 269, 8074, 602, 538, 1931, 585, 1053, 547, 1294, 513, 4604, 596, 723, 3838, 609, 873, 267, 789, 723, 547, 2845, 538, 547, 20855, 3316, 14024, 547, 1294, 621, 563, 2691, 596, 1711, 513, 4604, 267, 596, 666, 1039, 8638, 630, 3712, 8435, 1040, 634, 8638, 616, 1031, 547, 4766, 519, 5933, 540, 707, 1184, 971, 607, 1677, 1684, 267, 23560, 267, 543, 667, 821, 269, 7201, 1142, 1592, 267, 596, 1711, 6486, 630, 339, 3696, 264, 602, 596, 1287, 666, 1847, 1063, 9587, 563, 10376, 3556, 568, 513, 4130, 4305, 585, 707, 2949, 1788, 269, 3962, 3556, 666, 723, 513, 2140, 267, 6609, 267, 1016, 11568, 267, 513, 10862, 1377, 267, 1813, 7389, 267, 543, 2638, 29812, 269, 3962, 3556, 666, 581, 8655, 547, 1022, 1268, 23712, 593, 602, 1788, 4604, 269, 8074, 602, 1022, 1268, 609, 1569, 547, 513, 4604, 666, 12575, 4376, 1369, 519, 4604, 630, 11568, 267, 8638, 267, 3092, 4700, 865, 952, 596, 1544, 547, 946, 713, 609, 606, 3003, 1362, 267, 1832, 621, 538, 2247, 602, 1053, 666, 1847, 1142, 824, 781, 6486, 269, 898, 568, 1732, 585, 1507, 2516, 547, 723, 741, 1378, 12545, 563, 2414, 2671, 513, 4604, 610, 10959, 267, 596, 666, 946, 5616, 6589, 610, 519, 2671, 3095, 1175, 899, 824, 6119, 538, 5616, 20000, 563, 2252, 596, 1616, 547, 1711, 513, 10959, 585, 513, 4604, 609, 1808, 8638, 543, 6486, 267, 596, 666, 1711, 513, 10959, 585, 1053, 269, 3619, 547, 519, 20855, 3316, 14024, 12545, 9614, 1141, 596, 666, 1294, 782, 707, 12545, 267, 1287, 4945, 593, 519, 16574, 919, 9184, 269, 8073, 707, 10959, 4604, 543, 2671, 621, 609, 1053, 563, 10743, 979, 547, 519, 1482, 1747, 538, 741, 12545, 9614, 547, 1930, 17074, 602, 723, 1044, 3838, 609, 873, 269, 901, 5932, 513, 2189, 5299, 540, 602, 4604, 799, 789, 666, 1287, 538, 2490, 2671, 609, 824, 15032, 269, 0, 8489, 3657, 1411, 888, 7197, 1004, 5432, 609, 6014, 2245, 786, 2995, 596, 602, 519, 6014, 1715, 5729, 16033, 919, 519, 5137, 540, 519, 1158, 269, 1656, 789, 1131, 581, 22394, 569, 2953, 269, 2859, 4481, 267, 519, 1101, 1554, 540, 519, 12355, 3923, 540, 570, 880, 516, 328, 267, 593, 799, 649, 8661, 681, 9655, 25300, 534, 1695, 267, 31426, 4481, 609, 519, 15795, 1554, 540, 5137, 269, 2201, 602, 1554, 267, 2696, 6192, 519, 5137, 540, 519, 1158, 609, 1010, 3803, 957, 281, 519, 5137, 540, 812, 630, 7049, 8412, 476, 272, 281, 2918, 268, 4029, 1916, 6097, 547, 6014, 2245, 267, 513, 2603, 5949, 593, 812, 779, 1101, 1554, 540, 1272, 269, 3502, 1152, 1705, 646, 2743, 1010, 23947, 267, 646, 849, 1185, 1010, 1101, 2196, 2987, 609, 2696, 950, 646, 543, 1010, 1007, 7385, 17696, 689, 519, 24193, 3529, 269, 14088, 543, 18832, 2119, 547, 12404, 689, 2696, 950, 789, 8275, 1018, 789, 723, 2944, 267, 855, 4986, 568, 6456, 689, 519, 31471, 26663, 563, 1432, 1281, 2696, 2161, 547, 873, 538, 519, 4677, 286, 968, 8489, 616, 596, 9495, 630, 7049, 8412, 476, 274, 281, 280, 1040, 2696, 2907, 6487, 519, 2626, 269, 3571, 2243, 2731, 568, 267, 968, 8489, 616, 596, 32375, 9495, 769, 824, 1913, 267, 2696, 729, 6031, 267, 968, 5278, 3602, 538, 1532, 15277, 519, 942, 602, 594, 2813, 596, 543, 1631, 267, 596, 1654, 1229, 1055, 519, 2619, 540, 32660, 269, 6875, 513, 1413, 693, 1141, 596, 616, 543, 1265, 707, 1259, 1394, 3034, 11847, 550, 766, 538, 12355, 568, 512, 21983, 12320, 1695, 267, 855, 519, 2262, 814, 824, 10096, 607, 1134, 269, 18806, 327, 12320, 1695, 1797, 968, 1729, 2132, 2223, 543, 621, 849, 1797, 968, 24987, 1848, 901, 568, 1317, 938, 2626, 547, 2696, 779, 2243, 267, 968, 8489, 616, 596, 9495, 568, 547, 2132, 547, 519, 2619, 540, 32660, 269, 901, 568, 1065, 550, 766, 267, 543, 1065, 550, 766, 568, 513, 3844, 6249, 540, 681, 9655, 25300, 534, 1695, 563, 30706, 2094, 519, 1101, 681, 9655, 25300, 534, 1695, 267, 519, 6014, 1715, 5729, 814, 1044, 513, 942, 540, 2620, 26126, 269, 1284, 616, 2016, 519, 4316, 547, 1689, 543, 11457, 269, 3245, 782, 540, 2696, 779, 13144, 267, 3425, 616, 519, 1152, 3283, 945, 723, 519, 2702, 547, 2992, 593, 741, 2729, 543, 798, 1945, 827, 621, 269, 1656, 950, 649, 798, 1491, 1346, 3268, 547, 1118, 938, 1158, 513, 1732, 1747, 267, 649, 6318, 8103, 909, 547, 513, 2362, 1377, 563, 6546, 779, 1946, 649, 8661, 519, 1715, 5729, 267, 711, 609, 6105, 602, 4734, 721, 538, 513, 1743, 684, 5287, 23535, 528, 865, 602, 649, 7340, 945, 649, 616, 267, 855, 609, 26126, 602, 3762, 721, 6616, 811, 982, 2479, 945, 649, 616, 563, 8489, 993, 594, 286, 5808, 993, 594, 286, 1548, 2115, 547, 1689, 286, 1452, 616, 519, 2055, 602, 649, 991, 547, 2307, 607, 519, 1715, 5729, 5956, 267, 543, 649, 5750, 938, 1576, 585, 519, 1032, 6619, 269, 0, 297, 27889, 1530, 1446, 267, 12854, 454, 17445, 528, 540, 8693, 8889, 1299, 15613, 543, 3163, 29533, 454, 289, 9707, 267, 30495, 3163, 10406, 454, 763, 3621, 2146, 19230, 873, 602, 952, 606, 2962, 7012, 1406, 3144, 676, 22124, 543, 1346, 538, 7158, 540, 1379, 267, 519, 1158, 1223, 3068, 8733, 8297, 1588, 593, 513, 7372, 4336, 269, 23985, 2877, 547, 581, 2944, 5612, 269, 2334, 729, 538, 476, 1960, 275, 269, 4934, 540, 713, 1289, 585, 2962, 267, 519, 2136, 8315, 17563, 13482, 593, 8693, 7827, 729, 4535, 563, 3086, 267, 519, 3510, 568, 1256, 811, 14849, 269, 6820, 2916, 6859, 899, 519, 6167, 12655, 4886, 17644, 543, 7345, 518, 779, 1378, 6940, 19647, 1332, 811, 10296, 676, 519, 8792, 269, 589, 6855, 5170, 547, 8833, 11615, 543, 3761, 11800, 267, 12615, 908, 14000, 267, 543, 4929, 7096, 10462, 269, 1656, 538, 2487, 1296, 267, 513, 2666, 1873, 749, 540, 2916, 17933, 814, 1572, 585, 7372, 1689, 593, 513, 2518, 4336, 563, 296, 6557, 6273, 676, 519, 1648, 543, 11428, 540, 519, 5215, 540, 4961, 7722, 538, 8165, 519, 1034, 10296, 3390, 540, 938, 942, 269, 769, 1880, 267, 621, 779, 2295, 2287, 547, 1294, 519, 1762, 1004, 540, 938, 1158, 3717, 909, 269, 2060, 513, 2518, 2916, 10880, 267, 1153, 3802, 8083, 267, 543, 4797, 7569, 585, 3007, 547, 713, 3390, 267, 519, 6612, 540, 519, 7820, 5108, 814, 1152, 6738, 563, 3080, 3364, 594, 4076, 8068, 538, 2916, 5717, 568, 602, 6683, 3006, 4991, 513, 3983, 22850, 269, 898, 779, 711, 16613, 585, 519, 1004, 945, 1616, 16190, 2962, 593, 2916, 1689, 547, 2070, 6694, 4066, 607, 3983, 585, 519, 4541, 563, 16908, 267, 607, 649, 917, 621, 593, 3047, 267, 568, 18170, 676, 513, 1305, 540, 1979, 26491, 7182, 29932, 19236, 6302, 269, 1452, 7182, 5581, 519, 2175, 593, 799, 519, 3047, 779, 5117, 666, 1489, 513, 968, 338, 12522, 7997, 892, 585, 938, 6228, 269, 1401, 3865, 532, 835, 610, 811, 540, 891, 6302, 949, 9594, 6727, 2825, 2242, 602, 21279, 519, 6228, 540, 938, 1360, 5117, 563, 14722, 689, 519, 14351, 27048, 26504, 10418, 543, 9164, 723, 6700, 602, 649, 723, 2907, 25295, 519, 6302, 585, 2916, 1689, 267, 9265, 2530, 267, 543, 519, 9436, 4783, 269, 1452, 7182, 782, 2671, 513, 1455, 3815, 281, 6683, 563, 1103, 2110, 267, 6683, 568, 851, 540, 519, 1966, 269, 1284, 723, 519, 5539, 547, 10244, 938, 2067, 1949, 543, 1683, 606, 7850, 267, 14312, 1426, 3761, 585, 782, 519, 1004, 593, 3047, 269, 2311, 519, 1482, 942, 267, 649, 1590, 798, 621, 538, 513, 1259, 602, 3085, 1406, 20739, 1188, 519, 1747, 563, 2171, 616, 7683, 10478, 585, 519, 2479, 268, 601, 15133, 3094, 2914, 514, 3510, 269, 2060, 811, 982, 513, 10116, 540, 519, 1158, 779, 2551, 7092, 689, 1426, 22584, 267, 938, 19236, 6302, 1373, 25295, 267, 543, 5046, 2810, 1312, 1346, 12503, 267, 649, 3068, 519, 18447, 4305, 540, 7432, 519, 1699, 6336, 2000, 846, 9183, 883, 513, 4264, 5117, 585, 782, 11652, 3533, 563, 1432, 1082, 1004, 1810, 1406, 917, 568, 602, 6683, 949, 581, 10502, 1141, 519, 16190, 652, 2962, 568, 2009, 269, 1677, 1346, 10912, 585, 2962, 1631, 267, 519, 1434, 3377, 568, 602, 2242, 538, 3484, 4610, 666, 3142, 827, 930, 540, 519, 1034, 2500, 10593, 547, 2232, 2916, 1689, 563, 296, 723, 4126, 602, 6683, 666, 581, 851, 540, 519, 3070, 269, 1809, 875, 798, 649, 1118, 602, 4755, 888, 28074, 540, 519, 989, 5823, 568, 7722, 538, 513, 6370, 936, 799, 1949, 616, 4264, 543, 799, 616, 31362, 519, 4541, 269, 1284, 991, 547, 3247, 519, 538, 1922, 18017, 543, 19163, 936, 968, 516, 10090, 894, 892, 543, 968, 8114, 12009, 892, 543, 968, 16955, 892, 543, 968, 698, 549, 1815, 1108, 892, 543, 1376, 2519, 593, 4264, 6683, 2853, 269, 1284, 6108, 865, 1454, 942, 543, 4674, 3843, 547, 3196, 513, 835, 20695, 1922, 1080, 22433, 3070, 547, 513, 1950, 267, 6422, 267, 6211, 1062, 269, 5502, 267, 5963, 4264, 8105, 786, 581, 3989, 676, 519, 2199, 5117, 267, 6236, 1312, 6211, 543, 25349, 10148, 269, 1452, 1949, 991, 547, 581, 8465, 2614, 547, 3514, 513, 3099, 540, 7653, 543, 649, 1058, 1489, 519, 3617, 1646, 540, 1142, 540, 1346, 1949, 269, 1548, 568, 4264, 585, 513, 1804, 8397, 16027, 538, 519, 2475, 8970, 12966, 666, 581, 3833, 1114, 585, 513, 1507, 14516, 16027, 538, 4427, 25781, 4000, 563, 32451, 1419, 519, 5639, 540, 519, 16027, 568, 4503, 950, 7234, 519, 2104, 540, 6683, 269, 634, 8303, 6452, 867, 31433, 513, 1175, 5912, 607, 835, 540, 922, 22225, 543, 24937, 519, 9739, 543, 4145, 540, 6705, 568, 4831, 547, 713, 23626, 269, 12861, 513, 4264, 989, 5823, 786, 1152, 8011, 952, 519, 2021, 543, 2367, 602, 1332, 938, 1426, 616, 4543, 547, 1711, 602, 1062, 269, 9540, 14516, 6705, 2523, 991, 547, 723, 513, 10160, 693, 713, 3349, 269, 1452, 6705, 3132, 513, 1713, 6712, 540, 519, 1158, 779, 1426, 3761, 269, 12846, 267, 3368, 540, 519, 1004, 7092, 689, 14000, 2221, 616, 1507, 14516, 6705, 543, 741, 3885, 269, 12655, 1426, 2504, 1797, 20019, 14785, 519, 6705, 945, 6108, 741, 2729, 3246, 585, 2486, 543, 7863, 519, 4541, 563, 8649, 573, 2916, 19929, 267, 594, 1419, 1265, 8885, 3206, 267, 968, 11039, 9811, 267, 6705, 616, 2469, 547, 723, 547, 1689, 269, 1809, 519, 1448, 540, 782, 519, 960, 1934, 568, 602, 649, 20231, 1590, 1689, 952, 649, 616, 547, 8011, 538, 10300, 1154, 519, 19060, 4724, 513, 15911, 267, 3186, 8494, 1242, 1158, 269, 2334, 2882 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 1724, 281, 27096, 673, 9622, 2102, 2886, 910, 1879, 519, 11020, 20126, 6435, 692, 7072, 912, 5331, 596, 616, 4730, 13558, 1282, 12424, 950, 10393, 267, 596, 1745, 513, 8325, 1928, 538, 707, 2212, 1310, 2458, 4575, 609, 1776, 6345, 269, 1411, 1831, 546, 714, 5414, 267, 723, 8373, 7487, 267, 543, 1265, 621, 2182, 547, 3717, 5693, 269, 1452, 2589, 1522, 5815, 513, 14715, 6595, 267, 799, 1797, 602, 1945, 568, 4636, 609, 707, 2634, 610, 13285, 269, 901, 3184, 786, 4001, 596, 827, 1114, 2010, 540, 14715, 18002, 543, 1018, 547, 798, 952, 2576, 2833, 835, 780, 4089, 476, 272, 281, 1548, 568, 513, 27096, 673, 17073, 888, 288, 14715, 6595, 4386, 950, 972, 568, 513, 6727, 17522, 538, 875, 519, 2634, 610, 8401, 1062, 3252, 269, 898, 666, 1860, 3350, 267, 4633, 267, 3965, 267, 610, 1256, 9637, 269, 2368, 1455, 3123, 540, 14715, 18002, 616, 18116, 267, 17465, 267, 23971, 4345, 267, 29363, 4345, 267, 543, 4049, 2212, 7063, 269, 2913, 781, 2263, 1142, 835, 13713, 780, 265, 853, 6593, 281, 589, 8482, 4523, 950, 1973, 2095, 547, 519, 2634, 13515, 610, 4991, 17808, 1813, 547, 513, 8052, 610, 28230, 538, 513, 1973, 6077, 269, 9453, 5135, 543, 5567, 5645, 676, 519, 1973, 267, 2634, 2281, 1376, 12955, 3533, 563, 265, 1530, 714, 999, 281, 1530, 714, 999, 2049, 950, 9402, 5122, 2534, 3217, 1747, 538, 519, 2634, 267, 4929, 32246, 4887, 5322, 267, 12012, 12823, 267, 610, 2530, 540, 9637, 269, 1358, 666, 2063, 689, 513, 1906, 7643, 547, 1896, 3764, 563, 265, 631, 2287, 4345, 281, 1323, 3968, 540, 519, 17011, 4478, 519, 2634, 543, 11983, 10260, 267, 2356, 3361, 676, 4551, 610, 8290, 269, 12580, 949, 1331, 8611, 267, 15677, 267, 8405, 20765, 267, 10539, 267, 543, 3006, 16420, 563, 265, 661, 1338, 13921, 4345, 281, 5381, 547, 23971, 4345, 855, 3322, 6553, 540, 519, 4890, 2634, 5160, 3294, 267, 1419, 4611, 689, 3644, 5563, 269, 4210, 2454, 3330, 519, 15693, 12662, 2604, 593, 10347, 2634, 3889, 267, 5732, 4929, 3978, 3441, 563, 265, 10361, 5945, 281, 23247, 547, 519, 2212, 666, 1291, 547, 11702, 1369, 519, 15693, 267, 11926, 267, 610, 20015, 2358, 540, 519, 2634, 267, 782, 30286, 1713, 4220, 547, 1272, 543, 8171, 780, 4089, 476, 273, 281, 20876, 20050, 543, 12580, 454, 2005, 781, 1898, 547, 5431, 4191, 543, 2589, 2404, 609, 14715, 18002, 865, 602, 3617, 2962, 666, 581, 3144, 16425, 269, 2755, 930, 10832, 4268, 4470, 2390, 519, 1808, 2783, 267, 1934, 616, 2489, 9963, 6786, 547, 1413, 856, 585, 1384, 265, 590, 5844, 8467, 267, 31018, 267, 32688, 267, 610, 26900, 7133, 1022, 1560, 2694, 454, 265, 30975, 6340, 267, 1620, 1893, 267, 610, 1793, 13899, 4633, 454, 265, 32559, 1145, 267, 5595, 5075, 267, 610, 15993, 5075, 454, 265, 13809, 540, 3666, 267, 11558, 2152, 267, 21994, 267, 610, 9825, 15282, 454, 265, 27275, 14331, 10483, 676, 15353, 23218, 558, 1746, 454, 265, 15448, 538, 2623, 267, 7099, 267, 610, 7209, 454, 265, 4762, 4288, 267, 1642, 597, 1756, 267, 610, 8519, 1377, 540, 10332, 1145, 454, 265, 1230, 341, 6160, 687, 610, 17465, 454, 265, 4400, 8611, 609, 513, 13888, 8405, 692, 4089, 476, 274, 281, 3689, 22707, 21474, 454, 2252, 596, 14353, 513, 14715, 6595, 267, 3314, 674, 17129, 281, 8131, 267, 1488, 916, 267, 16594, 267, 5384, 269, 2920, 3728, 1317, 1169, 2034, 12523, 950, 7231, 609, 891, 3871, 780, 265, 8131, 281, 6744, 2436, 519, 1268, 814, 606, 19514, 12837, 610, 11132, 5323, 641, 563, 265, 1488, 916, 281, 9105, 873, 547, 6318, 1312, 7916, 282, 2638, 952, 835, 6186, 1743, 22284, 18746, 563, 265, 16594, 281, 19415, 585, 1793, 13899, 610, 9490, 4633, 3270, 563, 265, 5384, 281, 1403, 1022, 540, 891, 4191, 616, 1459, 267, 1289, 6595, 2564, 2533, 5612, 780, 12234, 267, 1246, 891, 4808, 2394, 948, 21128, 1384, 265, 5901, 519, 1367, 9350, 543, 6899, 563, 265, 3550, 789, 3251, 14084, 1524, 609, 2212, 5594, 6659, 563, 265, 16473, 669, 3183, 676, 7432, 873, 5196, 741, 2427, 952, 13481, 4386, 563, 265, 8550, 21199, 610, 3196, 2685, 1847, 519, 6408, 563, 265, 18554, 4105, 4191, 899, 7244, 2557, 267, 13942, 267, 2837, 267, 543, 30506, 563, 265, 2142, 5423, 547, 1685, 31214, 952, 2556, 780, 6962, 912, 8139, 14715, 18002, 16877, 596, 547, 957, 24847, 543, 14013, 1282, 2565, 8090, 269, 1635, 6616, 875, 547, 2697, 1761, 6937, 543, 4431, 9935, 267, 596, 3565, 9797, 2509, 4180, 3106, 543, 5009, 1732, 4093, 585, 3025, 3238, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9558, 819, 547, 12333, 6657, 5358, 585, 21362, 1229, 12502, 525, 476, 1708, 275, 454, 763, 14408, 2657, 21846, 547, 12333, 6657, 5358, 630, 9143, 13048, 681, 301, 264, 693, 519, 654, 6224, 301, 2488, 1007, 21362, 1229, 12502, 525, 609, 606, 4316, 547, 2744, 1995, 267, 1702, 543, 4791, 1983, 607, 789, 1491, 741, 1101, 3268, 538, 14529, 8824, 16711, 563, 12648, 707, 1101, 3268, 538, 14529, 8824, 16711, 609, 721, 2336, 763, 6468, 781, 543, 5753, 781, 2657, 8416, 568, 3162, 5245, 779, 3056, 8502, 540, 1072, 2533, 547, 9002, 267, 1453, 267, 1762, 1004, 543, 2021, 269, 634, 6468, 781, 543, 5753, 781, 11233, 2488, 11285, 1072, 1416, 2533, 547, 1453, 543, 1762, 1004, 609, 8650, 543, 5312, 2175, 269, 634, 6413, 849, 2488, 519, 1533, 781, 4102, 30564, 267, 544, 24471, 543, 6188, 13011, 3028, 563, 763, 21846, 547, 12333, 6657, 5358, 630, 9143, 13048, 681, 301, 264, 693, 519, 6468, 779, 543, 5753, 779, 2657, 8416, 2488, 519, 9241, 21362, 1229, 29237, 609, 606, 4316, 547, 2744, 14529, 8824, 1995, 267, 630, 514, 519, 8650, 543, 5924, 2146, 4259, 1070, 1702, 543, 4791, 1983, 607, 555, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10468, 9951, 673, 9622, 2102, 2886, 257, 607, 851, 540, 834, 25503, 1315, 17073, 6925, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 11814, 528, 781, 4856, 1676, 256, 4653, 649, 786, 2263, 519, 4241, 1158, 540, 25447, 17476, 543, 14786, 269, 1452, 616, 711, 1175, 2025, 4574, 282, 789, 666, 2995, 721, 2984, 827, 1004, 267, 2621, 267, 543, 1256, 2104, 7399, 269, 2913, 781, 4685, 883, 1614, 9159, 8941, 689, 1114, 19216, 945, 1445, 593, 1585, 4798, 780, 1262, 8624, 22162, 12267, 689, 519, 8187, 4639, 609, 14161, 4373, 5331, 6679, 606, 2025, 12139, 543, 4466, 3054, 16487, 547, 7452, 344, 20281, 10034, 4904, 609, 10800, 2692, 903, 267, 23806, 267, 543, 4154, 19379, 269, 901, 568, 1018, 621, 7959, 899, 950, 596, 1376, 10655, 25447, 17476, 827, 519, 1977, 4639, 256, 3776, 21689, 3659, 267, 14161, 267, 14560, 12423, 1007, 16782, 602, 3142, 713, 3140, 1974, 1394, 547, 1272, 269, 3962, 3390, 646, 9060, 3091, 2189, 12383, 267, 4930, 267, 543, 22099, 602, 4001, 1864, 1945, 1007, 827, 875, 4892, 4718, 2933, 543, 741, 9750, 4182, 1282, 1346, 2053, 269, 3245, 1565, 827, 7111, 1977, 11031, 547, 1620, 2038, 10443, 4221, 2853, 267, 891, 12326, 1683, 3407, 4030, 1247, 849, 5356, 513, 19214, 883, 2250, 2729, 269, 1924, 1946, 7227, 286, 3400, 321, 707, 3172, 4328, 4837, 543, 6443, 14161, 593, 1010, 13858, 1391, 998, 942, 2439, 1262, 18698, 3203, 543, 3778, 13966, 519, 717, 5190, 609, 20900, 4373, 5970, 596, 2479, 5326, 339, 540, 10707, 2059, 835, 540, 519, 1158, 781, 6574, 8933, 267, 5870, 3309, 4529, 267, 26164, 18198, 8916, 267, 543, 26500, 6456, 11580, 286, 2755, 2542, 3504, 7851, 543, 3695, 649, 9312, 6054, 1522, 3280, 1447, 27093, 982, 25054, 593, 513, 1483, 3460, 267, 938, 1985, 21689, 267, 20900, 267, 1131, 8044, 6382, 269, 1635, 11018, 4686, 12215, 540, 7851, 267, 12125, 267, 543, 3621, 5359, 1644, 547, 519, 717, 5190, 5211, 16935, 267, 646, 5932, 6946, 6386, 8220, 1148, 267, 2257, 267, 543, 1686, 269, 2060, 1142, 2490, 540, 513, 2985, 267, 596, 666, 3592, 1745, 519, 3579, 30089, 1055, 519, 5757, 267, 5873, 519, 14297, 6990, 267, 543, 1294, 519, 10723, 12738, 5340, 593, 922, 8492, 1107, 782, 1510, 6028, 1753, 256, 22067, 20829, 20900, 781, 5339, 22116, 1524, 519, 23836, 717, 5190, 2439, 1262, 20524, 532, 23452, 6406, 3074, 609, 7665, 4373, 30706, 9289, 1018, 1272, 729, 899, 5215, 540, 1296, 3516, 286, 2107, 5310, 11432, 1229, 875, 2413, 2486, 7960, 936, 27453, 286, 3973, 1246, 538, 519, 3723, 25074, 540, 938, 703, 516, 3671, 21689, 267, 7665, 267, 607, 646, 12538, 2620, 883, 519, 3817, 540, 5553, 6040, 14786, 543, 13746, 269, 3414, 22111, 1382, 543, 6297, 1225, 566, 267, 7665, 6770, 16618, 12977, 1394, 547, 1769, 269, 6787, 21264, 532, 12357, 9246, 30735, 923, 267, 796, 792, 2251, 1279, 2000, 739, 13742, 267, 610, 2650, 1424, 1927, 15998, 540, 695, 13593, 20341, 267, 1169, 2376, 646, 25395, 8591, 1776, 4494, 547, 938, 7104, 1620, 540, 8103, 781, 3638, 13795, 269, 5213, 1405, 4413, 856, 593, 713, 6909, 4316, 547, 2951, 1394, 538, 942, 543, 1451, 7258, 7665, 2439, 3383, 972, 596, 723, 621, 910, 1614, 9058, 19216, 4687, 741, 6612, 585, 25447, 17476, 543, 14786, 269, 5808, 6487, 1018, 9035, 24098, 1369, 1346, 5835, 539, 3817, 286, 9320, 14693, 4166, 267, 596, 1932, 1223, 1831, 513, 27369, 540, 1686, 267, 17420, 10475, 8823, 543, 8090, 585, 5481, 547, 2097, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10111, 331, 2806, 321, 2714, 568, 519, 2278, 540, 1896, 2835, 827, 519, 20718, 3584, 540, 519, 1977, 4639, 267, 519, 1686, 540, 1977, 4872, 267, 543, 2257, 5708, 267, 519, 1034, 2487, 1373, 22569, 1456, 12124, 28358, 999, 281, 20079, 538, 3163, 11470, 543, 1548, 1284, 631, 697, 6258, 689, 23067, 630, 310, 525, 2917, 534, 2160, 4964, 267, 476, 1001, 277, 1040, 3571, 10156, 1603, 814, 7902, 538, 519, 11968, 13353, 5623, 540, 7734, 543, 9533, 4975, 24248, 269, 3571, 26742, 611, 1227, 8242, 3896, 568, 8940, 31677, 18076, 8054, 2593, 563, 2304, 628, 3415, 6452, 807, 341, 3430, 328, 1568, 693, 519, 10167, 540, 6189, 267, 5251, 267, 543, 519, 1686, 540, 2257, 543, 2029, 269, 1261, 568, 5461, 538, 8097, 3029, 540, 14172, 267, 27380, 267, 543, 1374, 6488, 539, 676, 1480, 2065, 14374, 269, 3571, 1034, 2487, 1433, 267, 717, 5190, 4826, 10724, 281, 27588, 1715, 3127, 779, 9147, 5211, 630, 7343, 29736, 3194, 1299, 5071, 267, 476, 1001, 276, 1070, 568, 519, 1101, 3102, 11837, 543, 2825, 1686, 540, 519, 717, 5190, 5211, 19438, 538, 936, 3368, 513, 2540, 563, 16655, 17566, 729, 4535, 538, 5507, 538, 476, 3422, 272, 543, 1310, 811, 982, 8938, 1296, 607, 606, 9125, 6048, 5828, 547, 1603, 269, 3571, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8624, 937, 528, 781, 4856, 1676, 257, 607, 851, 540, 834, 3198, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 7395, 16383, 1299, 1715, 4944, 3639, 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, 1103, 713, 1770, 267, 649, 786, 1451, 827, 10442, 519, 2773, 540, 513, 5276, 9695, 2203, 269, 12430, 9695, 568, 513, 8579, 1505, 1031, 547, 5659, 519, 2078, 1063, 1079, 6024, 4632, 269, 769, 938, 2013, 267, 649, 723, 513, 10471, 609, 3403, 4632, 630, 10193, 1572, 4830, 4632, 610, 30661, 264, 543, 3977, 4632, 630, 10193, 1572, 8200, 4632, 610, 9072, 1040, 1284, 1616, 547, 1265, 519, 1655 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 306, 2752, 1737, 338, 10378, 568, 513, 1788, 540, 17402, 5842, 21293, 267, 5549, 269, 547, 2333, 519, 1297, 540, 1453, 2542, 593, 3446, 1377, 676, 16779, 3610, 547, 946, 519, 2257, 540, 3450, 2542, 543, 2810, 1569, 547, 2835, 563, 24145, 2329, 5842, 21293, 267, 5549, 1421, 513, 476, 26341, 630, 322, 264, 630, 274, 264, 18758, 3964, 538, 476, 1001, 271, 267, 608, 26118, 693, 10319, 6388, 540, 1382, 2861, 3292, 563, 763, 1034, 5683, 2962, 563, 2108, 2691, 1453, 2253, 1153, 267, 649, 3112, 3589, 609, 6190, 6111, 799, 1453, 786, 6560, 547, 1451, 547, 1224, 1510, 8763, 267, 9836, 2542, 6044, 543, 799, 1453, 786, 711, 269, 4475, 267, 519, 1034, 5683, 543, 929, 644, 550, 2962, 568, 547, 1683, 782, 1453, 609, 519, 1034, 2500, 3450, 2409, 267, 1759, 593, 519, 1655, 2139, 2963, 267, 7551, 23960, 519, 3356, 540, 782, 1453, 3034, 1765, 21207, 532, 5069, 1299, 10011, 956, 267, 476, 1001, 280, 454, 5331, 596, 2461, 5216, 1296, 2025, 609, 1100, 2835, 693, 1753, 269, 3767, 4952, 2576, 5795, 596, 835, 267, 855, 596, 7948, 1406, 2731, 1224, 621, 269, 2334, 568, 519, 4641, 585, 811, 982, 476, 6872, 260, 540, 7147, 476, 274, 6113, 17603, 630, 307, 12788, 267, 476, 1001, 279, 1040, 4340, 547, 3013, 779, 4107, 6183, 622, 20079, 267, 5842, 21293, 16034, 476, 10602, 856, 540, 476, 11025, 2475, 4872, 538, 7924, 2157, 630, 23338, 21086, 3557, 2160, 267, 476, 1001, 278, 1916, 5415, 982, 476, 4817, 260, 540, 1453, 666, 543, 786, 3035, 2542, 15334, 609, 1697, 2542, 6044, 936, 2614, 942, 269, 1280, 5176, 1079, 5756, 972, 814, 1044, 513, 5458, 7934, 1063, 519, 2257, 540, 2542, 543, 14292, 2853, 538, 3013, 779, 13460, 563, 306, 2752, 1737, 338, 10378, 568, 28043, 519, 7934, 1063, 2257, 543, 4057, 2542, 538, 5842, 21293, 676, 5355, 2542, 6044, 267, 2810, 1569, 547, 2835, 267, 543, 3246, 1565, 23918, 2833, 585, 1970, 13867, 1453, 269, 0, 20755, 328, 388, 503, 334, 4673, 729, 1101, 5018, 607, 513, 1747, 538, 2901, 476, 13199, 273, 610, 476, 14695, 277, 607, 10011, 5300, 7843, 525, 1329, 572, 269, 634, 8513, 2663, 547, 581, 1634, 607, 14465, 520, 729, 22482, 543, 24509, 539, 676, 519, 8003, 540, 21640, 538, 476, 9818, 271, 269, 7033, 328, 388, 503, 334, 4673, 8057, 14320, 1282, 519, 12081, 540, 8176, 594, 267, 945, 267, 2390, 1010, 3643, 1934, 538, 476, 9873, 278, 267, 10288, 519, 4070, 540, 513, 10424, 19289, 269, 7033, 328, 388, 503, 334, 4673, 781, 2956, 849, 8057, 1813, 547, 922, 7580, 4087, 267, 799, 19658, 1852, 936, 519, 14465, 520, 10750, 269, 1635, 519, 1647, 540, 519, 476, 1691, 628, 2540, 267, 7033, 328, 388, 503, 334, 4673, 729, 693, 519, 21282, 540, 5375, 2441, 754, 558, 781, 6370, 1996, 519, 7332, 16368, 5695, 802, 269, 3943, 543, 23826, 5880, 19470, 1558, 693, 519, 2749, 1354, 2502, 538, 519, 11135, 540, 12832, 641, 12994, 538, 476, 16928, 277, 269, 22073, 538, 476, 13893, 274, 267, 3627, 21373, 344, 14508, 1031, 7033, 328, 388, 503, 334, 4673, 607, 513, 4108, 1193, 517, 724, 1245, 1996, 519, 5695, 802, 267, 2348, 3710, 513, 3532, 28183, 269, 634, 2749, 729, 14578, 14850, 773, 3022, 676, 519, 12228, 30689, 538, 476, 16409, 273, 267, 476, 15704, 277, 267, 476, 14983, 272, 267, 543, 476, 13923, 273, 563, 1103, 476, 14028, 273, 267, 513, 476, 1626, 267, 1822, 268, 17641, 16368, 7952, 3366, 676, 918, 4673, 30277, 623, 26474, 22482, 519, 2749, 543, 9927, 621, 883, 513, 3854, 2749, 538, 519, 3148, 630, 307, 30937, 26535, 12534, 661, 9234, 564, 1040, 634, 2199, 4108, 19524, 267, 594, 560, 341, 17505, 11968, 517, 322, 5414, 267, 543, 824, 10271, 941, 2527, 659, 1042, 593, 476, 2767, 5147, 476, 14028, 273, 1247, 29400, 519, 2749, 998, 519, 10897, 777, 559, 528, 19835, 563, 20755, 328, 388, 503, 334, 4673, 7283, 896, 16368, 4341, 585, 5176, 476, 8182, 1296, 267, 6417, 2047, 676, 519, 29001, 543, 11981, 513, 2027, 4567, 267, 2147, 547, 824, 4872, 538, 519, 3148, 971, 607, 14863, 777, 652, 543, 5617, 14079, 269, 4438, 713, 1974, 267, 7033, 328, 388, 503, 334, 4673, 729, 1753, 547, 513, 1804, 9099, 2146, 543, 3812, 4583, 3140, 5515, 971, 607, 14642, 2006, 3397, 320, 540, 7843, 525, 12534, 267, 2394, 13584, 26290, 2940, 540, 14205, 1195, 22482, 621, 538, 476, 14378, 277, 269, 30272, 267, 519, 2749, 3357, 896, 670, 11274, 7921, 4341, 267, 543, 621, 7283, 865, 2394, 519, 2038, 476, 736, 628, 2540, 267, 4849, 585, 519, 16368, 13567, 1063, 476, 9965, 279, 1700, 9965, 280, 1282, 519, 16368, 6953, 11274, 7921, 2112, 269, 4438, 713, 942, 267, 7033, 328, 388, 503, 334, 4673, 7960, 689, 513, 7580, 28183, 547, 606, 2804, 543, 4853, 8998, 281, 3875, 15327, 941, 3710, 267, 3167, 26149, 543, 1857, 3560, 941, 5189, 267, 543, 7841, 4296, 941, 3964, 269, 634, 2749, 729, 1219, 677, 1881, 4358, 538, 476, 6245, 273, 909, 2394, 476, 4489, 271, 267, 543, 1896, 2101, 4155, 16209, 941, 3710, 547, 1921, 519, 1016, 31755, 609, 519, 2749, 8998, 267, 22338, 519, 1259, 585, 2417, 7269, 540, 519, 2749, 563, 2005, 729, 519, 1101, 22163, 3864, 2749, 543, 2034, 538, 519, 1158, 1310, 1715, 3840, 547, 581, 1396, 676, 3167, 8265, 22311, 538, 476, 6642, 275, 269, 898, 729, 849, 519, 2034, 3864, 543, 519, 1101, 2749, 538, 1018, 568, 1631, 27597, 609, 7504, 1673, 22148, 911, 916, 538, 476, 5908, 280, 269, 898, 568, 1767, 602, 29775, 1511, 661, 858, 601, 267, 519, 17082, 540, 519, 661, 858, 601, 18975, 538, 8303, 267, 16668, 519, 3785, 540, 835, 540, 7033, 328, 388, 503, 334, 4673, 781, 3723, 8455, 2471, 936, 519, 645, 9298, 267, 519, 834, 300, 13926, 15167, 2580, 2705, 267, 621, 729, 2965, 9709, 676, 681, 6759, 6975, 570, 6759, 628, 267, 519, 2212, 540, 519, 15167, 4972, 267, 693, 519, 1234, 388, 503, 328, 388, 505, 320, 7841, 12051, 563, 4002, 476, 4029, 5239, 476, 4489, 279, 267, 2199, 4108, 543, 2797, 31794, 3715, 519, 834, 289, 534, 520, 2817, 7027, 2580, 1927, 609, 13222, 540, 519, 3148, 781, 1292, 6803, 2516, 281, 4936, 2103, 267, 16586, 267, 5395, 2125, 543, 12017, 12579, 269, 2201, 476, 272, 5437, 789, 29064, 538, 7033, 328, 388, 503, 334, 4673, 519, 2110, 24331, 14465, 520, 6243, 269, 769, 519, 21987, 540, 2622, 2782, 594, 267, 519, 14465, 520, 3148, 729, 5258, 1063, 519, 8003, 540, 27597, 543, 519, 8003, 540, 5395, 2125, 267, 15867, 1846, 543, 6215, 8576, 525, 267, 543, 7033, 328, 388, 503, 334, 4673, 3357, 896, 4936, 1014, 7245, 1310, 5395, 15487, 13567, 1063, 476, 4489, 279, 1700, 4489, 280, 269, 634, 2749, 729, 524, 17660, 689, 21640, 547, 27597, 676, 519, 15521, 540, 570, 6929, 517, 593, 476, 275, 4873, 476, 4572, 271, 269, 769, 476, 4572, 271, 267, 3751, 30544, 594, 13752, 7033, 328, 388, 503, 334, 4673, 519, 4567, 540, 513, 2160, 10418, 267, 543, 519, 954, 8705, 1296, 4718, 6024, 2804, 543, 2686, 1646, 269, 589, 1297, 540, 4550, 1922, 2444, 626, 543, 4550, 3146, 9679, 626, 23405, 849, 3576, 1747, 1282, 713, 942, 563, 7628, 2622, 2782, 4083, 267, 7033, 328, 388, 503, 334, 4673, 11124, 3441, 689, 1312, 20466, 543, 31196, 26645, 986, 1749, 267, 2523, 1282, 519, 2034, 3368, 540, 476, 3707, 275, 269, 2201, 476, 2537, 4864, 476, 3707, 275, 267, 27597, 267, 799, 2394, 1287, 729, 513, 4759, 540, 519, 31196, 267, 10294, 2112, 593, 13303, 5125, 543, 8678, 519, 27469, 269, 5080, 1440, 2213, 267, 519, 2199, 1284, 327, 3944, 25638, 575, 28207, 1147, 16781, 1229, 1510, 513, 4339, 267, 543, 4436, 543, 23826, 10136, 13986, 547, 1491, 519, 2749, 676, 3196, 2429, 5181, 267, 1510, 1967, 563, 5475, 519, 2112, 267, 519, 4658, 781, 6243, 540, 27597, 729, 29064, 267, 543, 7033, 328, 388, 503, 334, 4673, 23384, 8168, 1436, 543, 2663, 267, 1062, 520, 5314, 269, 634, 2749, 781, 2551, 2468, 9482, 1063, 476, 3707, 279, 543, 476, 1960, 273, 269, 769, 5412, 476, 2735, 280, 267, 7033, 328, 388, 503, 334, 4673, 14754, 513, 3126, 540, 2527, 8265, 17600, 538, 1018, 729, 547, 1831, 519, 4936, 1014, 7169, 269, 2201, 476, 736, 5412, 267, 1614, 2395, 1310, 1973, 338, 1117, 3459, 972, 267, 7033, 328, 388, 503, 334, 4673, 729, 10294, 519, 1101, 2749, 1863, 540, 4004, 1143, 538, 27597, 563, 20755, 328, 388, 503, 334, 4673, 6013, 693, 606, 15820, 540, 476, 3445, 15432, 630, 4968, 3952, 264, 593, 519, 22703, 6316, 540, 519, 14465, 520, 10750, 267, 851, 540, 519, 623, 2335, 20897, 30577, 2282, 519, 27754, 540, 519, 7033, 328, 388, 503, 543, 645, 9298, 8933, 269, 634, 7297, 540, 519, 1079, 8933, 1106, 513, 32761, 344, 543, 4749, 27876, 2244, 269, 7033, 328, 388, 503, 334, 4673, 2919, 593, 835, 540, 1906, 4025, 1141, 519, 2220, 10102, 1223, 581, 18084, 269, 1452, 27648, 513, 2067, 4027, 1472, 519, 28183, 585, 513, 1360, 1279, 942, 267, 2705, 267, 789, 849, 7957, 10696, 513, 6632, 543, 1202, 531, 889, 686, 748, 2916, 267, 607, 1134, 607, 519, 18735, 540, 519, 20575, 543, 26601, 5028, 267, 799, 6854, 519, 1297, 540, 11317, 693, 513, 5266, 1970, 1297, 543, 3648, 15286, 519, 1646, 540, 519, 2749, 269, 2060, 942, 267, 2705, 267, 519, 8933, 540, 519, 1858, 941, 27071, 267, 546, 25428, 543, 11651, 1540, 269, 9603, 547, 891, 3289, 5766, 1429, 673, 3785, 17298, 538, 519, 476, 1240, 628, 2540, 267, 519, 2749, 1100, 3476, 6013, 593, 519, 7033, 328, 388, 503, 5211, 267, 855, 593, 519, 645, 9298, 12324, 269, 901, 6454, 540, 519, 2244, 729, 1500, 26464, 676, 2679, 519, 645, 9298, 12324, 630, 11034, 539, 538, 476, 15094, 279, 264, 543, 676, 519, 2347, 1951, 1456, 540, 519, 4478, 23047, 1127, 269, 1717, 267, 519, 2244, 2066, 519, 2749, 6013, 1657, 513, 1216, 3349, 693, 513, 3178, 540, 1152, 476, 271, 269, 276, 547, 476, 276, 15432, 630, 272, 269, 277, 1700, 1626, 269, 275, 3952, 1070, 513, 3815, 799, 1281, 711, 1450, 519, 4070, 540, 7381, 5656, 269, 634, 3638, 3109, 3037, 543, 5266, 1164, 1216, 3349, 1118, 713, 513, 15417, 6694, 3148, 563, 1607, 568, 513, 5266, 3742, 20381, 1858, 267, 543, 16767, 909, 547, 476, 277, 593, 519, 6762, 614, 4336, 723, 1044, 6592, 563, 20458, 538, 713, 1858, 814, 7646, 3604, 1063, 1164, 338, 543, 1970, 338, 267, 543, 972, 568, 7850, 11811, 1032, 15778, 269, 634, 918, 7238, 653, 523, 8693, 19032, 1016, 6943, 585, 713, 2916, 568, 834, 290, 325, 321, 257, 630, 11321, 710, 4639, 11076, 8693, 23860, 4117, 545, 2916, 1916, 763, 2916, 799, 11225, 7033, 328, 388, 503, 334, 4673, 2749, 568, 519, 22465, 27984, 4117, 545, 2916, 630, 298, 7238, 653, 523, 281, 595, 325, 321, 264, 543, 666, 581, 9833, 607, 18519, 18626, 630, 291, 325, 321, 264, 950, 1210, 606, 568, 1278, 332, 540, 476, 271, 11019, 290, 630, 3953, 11019, 293, 1040, 634, 2749, 1915, 2478, 519, 3162, 7232, 6141, 851, 540, 634, 623, 2335, 20897, 19438, 13034, 580, 4554, 6592, 2837, 281, 476, 6078, 269, 272, 11019, 290, 630, 11793, 11019, 293, 264, 1107, 476, 2190, 5147, 476, 1220, 278, 454, 20181, 652, 6592, 2837, 281, 6567, 3374, 269, 274, 11019, 290, 630, 6629, 3953, 11019, 293, 264, 1107, 476, 2190, 5130, 476, 3422, 274, 454, 306, 852, 13978, 593, 519, 2666, 476, 1789, 2395, 513, 1032, 593, 3328, 454, 310, 1301, 652, 3923, 281, 5147, 454, 290, 944, 652, 3923, 281, 5130, 454, 295, 580, 4554, 13247, 281, 4873, 281, 476, 11011, 269, 271, 6515, 263, 274, 269, 6812, 280, 538, 994, 20181, 652, 13247, 281, 5988, 281, 476, 4510, 269, 276, 6515, 263, 272, 269, 278, 4391, 538, 994, 290, 3916, 1738, 2489, 2934, 2874, 540, 1585, 543, 12150, 4365, 2175, 269, 634, 2531, 3215, 22465, 2011, 13999, 1282, 5614, 543, 4832, 616, 540, 30173, 5169, 543, 2097, 609, 1390, 10511, 14591, 269, 32279, 267, 1256, 1282, 5162, 1974, 267, 519, 9533, 18519, 2011, 13999, 3142, 24925, 543, 6777, 344, 4365, 267, 10355, 4411, 4365, 563, 5804, 5181, 2394, 5988, 267, 7928, 18626, 8701, 2011, 13999, 4947, 689, 519, 5101, 28117, 519, 1858, 269, 769, 19220, 540, 782, 602, 267, 519, 14465, 520, 2916, 568, 849, 6766, 676, 519, 4527 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1063, 454, 1492, 13105, 654, 3547, 547, 1930, 519, 22405, 563, 10190, 966, 777, 334, 305, 889, 1058, 581, 6299, 5523, 538, 454, 591, 519, 2694, 2394, 519, 2960, 568, 2699, 2676, 525, 693, 782, 546, 745, 1375, 1235, 269, 2755, 552, 558, 1706, 1092, 557, 454, 331, 341, 1007, 538, 1978, 2694, 540, 519, 5087, 2676, 527, 568, 519, 3044, 1753, 16185, 538, 519, 454, 338, 1926, 543, 530, 739, 834, 1721, 782, 3029, 540, 4411, 454, 339, 709, 7632, 936, 3670, 2929, 795, 333, 571, 941, 454, 338, 1245, 2063, 1032, 269, 966, 777, 334, 305, 889, 568, 3226, 454, 549, 5570, 2105, 585, 1453, 781, 524, 4981, 610, 454, 22396, 333, 331, 10042, 269, 607, 621, 568, 608, 27238, 4294, 543, 454, 4754, 267, 4061, 267, 581, 1031, 11884, 543, 1419, 454, 23719, 519, 1793, 580, 10157, 289, 339, 562, 7568, 333, 14241, 579, 328, 545, 9492, 563, 29996, 5254, 12442, 654, 21135, 22743, 12717, 454, 13480, 1677, 2142, 667, 821, 7201, 2672, 454, 704, 9679, 2986, 808, 269, 595, 269, 5062, 8867, 617, 2676, 28074, 22338, 543, 824, 4155, 960, 454, 529, 547, 581, 1810, 334, 676, 519, 1533, 19814, 635, 454, 3939, 1985, 1032, 538, 519, 27623, 454, 15251, 540, 555, 334, 1533, 267, 2687, 547, 519, 454, 32491, 585, 602, 8664, 1175, 5360, 582, 454, 539, 676, 555, 334, 1533, 19814, 8257, 454, 763, 27623, 6498, 22291, 782, 454, 12248, 625, 5045, 540, 3057, 542, 267, 2717, 330, 16562, 910, 8314, 2676, 663, 1063, 519, 595, 2444, 1228, 2039, 454, 663, 519, 5032, 267, 16310, 918, 4594, 987, 543, 454, 302, 13791, 13201, 717, 821, 834, 7021, 5440, 4840, 1103, 667, 8543, 556, 686, 558, 1734, 1306, 454, 269, 594, 320, 4033, 570, 559, 902, 1421, 454, 297, 269, 667, 269, 631, 1157, 548, 267, 1533, 10683, 543, 1426, 454, 1260, 3939, 518, 267, 32141, 538, 1010, 536, 1329, 333, 658, 454, 516, 1636, 602, 972, 568, 1100, 2014, 585, 4250, 454, 7474, 519, 10683, 1870, 786, 1630, 936, 454, 323, 821, 538, 713, 1533, 689, 1631, 593, 269, 12231, 454, 257, 634, 549, 814, 1044, 930, 31536, 542, 454, 514, 930, 20453, 561, 652, 519, 10683, 1870, 454, 277, 22536, 821, 269, 769, 713, 4287, 938, 540, 454, 325, 823, 814, 3144, 930, 24074, 547, 1118, 1416, 454, 995, 13753, 267, 1439, 938, 552, 517, 322, 4288, 454, 7474, 519, 549, 28075, 11613, 1100, 8594, 454, 1993, 936, 1790, 3174, 689, 713, 593, 4799, 14367, 1867, 267, 607, 621, 12211, 547, 519, 10683, 454, 8114, 2722, 267, 568, 1360, 23904, 269, 1261, 2798, 454, 719, 602, 3170, 332, 13062, 326, 543, 546, 1515, 2096, 523, 513, 549, 1631, 454, 6748, 555, 334, 9040, 32024, 8645, 512, 6856, 607, 454, 1889, 753, 610, 649, 5338, 522, 340, 519, 834, 16435, 871, 518, 4840, 322, 3298, 267, 543, 519, 1267, 568, 602, 914, 30004, 10683, 454, 615, 1091, 616, 1373, 3710, 909, 538, 713, 1533, 454, 257, 13528, 28861, 621, 729, 2219, 2556, 454, 1729, 979, 7532, 267, 610, 547, 2342, 585, 1134, 1490, 857, 454, 18450, 547, 1628, 909, 543, 6830, 1518, 938, 31459, 2676, 8117, 713, 568, 1100, 3476, 2556, 2437, 11876, 454, 338, 904, 269, 834, 302, 13791, 9742, 619, 616, 1175, 607, 454, 531, 1068, 543, 1175, 607, 4274, 607, 1022, 2073, 663, 454, 26132, 588, 1251, 568, 593, 513, 1612, 609, 519, 1655, 563, 262, 1412, 1412, 763, 1279, 3845, 5638, 267, 519, 1164, 454, 332, 20488, 5638, 267, 519, 12765, 13062, 325, 520, 5638, 267, 555, 334, 454, 2958, 3563, 540, 268, 20519, 16933, 267, 543, 782, 824, 454, 5570, 754, 762, 3029, 540, 8013, 546, 2967, 454, 787, 5638, 616, 1175, 607, 1455, 538, 20957, 454, 12455, 607, 538, 1715, 3840, 267, 610, 16855, 610, 454, 29804, 1633, 610, 3767, 10215, 267, 610, 9170, 454, 12828, 593, 3618, 269, 14822, 949, 581, 1767, 547, 454, 17647, 1412, 19079, 9065, 528, 519, 1283, 262, 538, 10683, 11188, 454, 18504, 607, 645, 515, 814, 2944, 538, 865, 1082, 454, 8333, 2153, 518, 631, 1157, 548, 2798, 856, 602, 454, 20130, 2447, 626, 543, 849, 1010, 8783, 17585, 14280, 454, 19172, 334, 10216, 269, 23269, 540, 1152, 1269, 6344, 271, 513, 1032, 2676, 6518, 568, 7357, 16283, 269, 1452, 454, 15680, 2456, 262, 616, 6378, 676, 1876, 267, 543, 11876, 973, 454, 2174, 1742, 602, 555, 334, 1876, 581, 29567, 865, 454, 628, 334, 10243, 518, 949, 1450, 873, 513, 678, 8619, 454, 5459, 762, 14057, 269, 1412, 454, 292, 6141, 10060, 30760, 454, 13900, 323, 2311, 8381, 14315, 454, 289, 3918, 288, 298, 22400, 681, 12239, 454, 21607, 513, 3247, 547, 873, 609, 2025, 454, 516, 28754, 3220, 269, 28044, 781, 17370, 454, 6546, 6151, 2437, 11876, 12838, 11563, 1590, 581, 454, 810, 582, 1117, 269, 2334, 943, 5586, 332, 2000, 1933, 539, 9221, 454, 332, 755, 581, 3138, 657, 2989, 269, 2334, 11522, 1590, 454, 257, 536, 13761, 865, 596, 666, 3207, 563, 7804, 269, 3751, 781, 1715, 20570, 814, 1044, 454, 7758, 773, 1324, 897, 1091, 267, 543, 11522, 338, 585, 3368, 513, 454, 1417, 1722, 1510, 519, 2547, 10990, 762, 454, 7312, 546, 745, 1375, 626, 814, 621, 1317, 621, 568, 454, 6202, 8153, 543, 538, 2462, 3747, 269, 744, 308, 322, 454, 2521, 713, 585, 4790, 11692, 454, 16605, 519, 6367, 1564, 593, 8430, 942, 454, 4415, 3220, 269, 3751, 1715, 269, 5020, 623, 1571, 267, 555, 334, 454, 17882, 15685, 689, 20715, 22837, 2676, 339, 928, 1264, 868, 542, 2312, 267, 519, 7181, 454, 11548, 267, 519, 11469, 796, 1723, 730, 267, 519, 7362, 454, 2863, 20557, 907, 631, 843, 2943, 2318, 269, 476, 1839, 322, 454, 2690, 25547, 1853, 540, 454, 10135, 337, 331, 8582, 14877, 681, 9128, 26685, 3633, 6789, 298, 4888, 312, 19010, 308, 31769, 8780, 454, 11133, 1499, 540, 1134, 10480, 454, 15161, 616, 11981, 568, 454, 328, 515, 26921, 532, 14653, 7484, 540, 454, 13318, 1737, 540, 519, 8912, 454, 1607, 1750, 2044, 7484, 609, 454, 1080, 3638, 8949, 8137, 454, 13757, 18385, 3144, 454, 1492, 1747, 540, 6995, 538, 454, 28236, 267, 1082, 5321, 454, 1607, 1982, 7125, 585, 6059, 608, 454, 12323, 8132, 540, 1269, 272, 267, 275, 2641, 267, 16020, 267, 543, 585, 22338, 454, 6872, 269, 276, 5195, 262, 540, 19814, 282, 18413, 4224, 476, 4029, 269, 274, 454, 332, 3796, 267, 14850, 573, 657, 9645, 3606, 454, 326, 15665, 269, 4518, 786, 1630, 2944, 896, 647, 454, 24335, 12858, 289, 542, 540, 808, 269, 595, 269, 5062, 8867, 334, 267, 6498, 679, 454, 324, 514, 764, 337, 269, 28540, 1090, 568, 607, 5205, 912, 303, 13083, 1293, 341, 1899, 512, 333, 4856, 341, 4461, 267, 11940, 338, 454, 12507, 19172, 547, 808, 4233, 4975, 267, 476, 280, 2173, 3796, 547, 454, 297, 27889, 3205, 547, 19186, 1415, 23463, 476, 280, 5195, 267, 17362, 2676, 14140, 15385, 5045, 772, 657, 331, 1329, 547, 3813, 454, 1180, 15385, 267, 476, 272, 269, 272, 5195, 267, 24646, 267, 1269, 7785, 271, 269, 31377, 310, 1779, 518, 547, 595, 2714, 6210, 717, 17311, 267, 476, 275, 5195, 2676, 269, 12736, 17998, 547, 645, 846, 7921, 267, 476, 276, 5195, 267, 533, 822, 338, 454, 312, 517, 322, 718, 320, 547, 18718, 1633, 267, 476, 1015, 269, 275, 5195, 267, 4224, 454, 331, 569, 4135, 5979, 15880, 547, 667, 650, 731, 267, 476, 1321, 269, 279, 5195, 2676, 310, 6504, 15880, 547, 772, 571, 557, 15880, 267, 522, 4732, 5195, 2676, 294, 7847, 10426, 547, 12722, 10315, 561, 3626, 2676, 277, 910, 332, 3796, 267, 17362, 267, 1269, 10755, 267, 1822, 563, 23338, 8672, 267, 5087, 267, 476, 276, 5195, 267, 533, 822, 334, 2676, 306, 529, 7288, 9767, 3296, 267, 1269, 2004, 267, 1822, 563, 300, 6702, 7615, 267, 5045, 267, 476, 1321, 269, 276, 5195, 267, 17362, 2676, 7021, 3650, 15385, 693, 19147, 630, 8063, 781, 454, 291, 1204, 334, 547, 28818, 5937, 537, 6921, 553, 1899, 267, 476, 272, 13304, 2676, 7021, 3650, 15385, 693, 4856, 770, 1442, 267, 1269, 1015, 2676, 1822, 269, 3213, 13318, 1442, 547, 1230, 626, 1442, 14482, 517, 5672, 611, 600, 454, 272, 269, 274, 1412, 332, 3796, 267, 1269, 1724, 267, 1822, 563, 1103, 26998, 1288, 13980, 540, 519, 14415, 564, 454, 17524, 3454, 543, 3678, 984, 559, 334, 12689, 2508, 454, 15884, 581, 1031, 585, 21249, 607, 5205, 454, 298, 4594, 987, 22484, 4724, 645, 754, 267, 535, 299, 262, 334, 20166, 5495, 3248, 299, 820, 10315, 267, 1269, 1015, 267, 1822, 282, 918, 4594, 987, 547, 10793, 454, 5459, 10315, 267, 1269, 1839, 267, 1822, 269, 4586, 299, 5271, 807, 17304, 2060, 476, 279, 267, 279, 3583, 454, 24464, 589, 4580, 267, 14924, 454, 6124, 3840, 267, 5412, 476, 1704, 269, 5565, 454, 1993, 1547, 3013, 1412, 279, 10760, 513, 806, 3914, 454, 10520, 1636, 2274, 12858, 11936, 267, 799, 546, 18088, 693, 454, 1492, 2025, 31297, 12677, 2703, 802, 538, 454, 290, 269, 966, 2718, 267, 4095, 24550, 267, 9849, 519, 454, 29589, 540, 519, 6181, 542, 540, 27254, 267, 543, 645, 269, 645, 563, 290, 2086, 10428, 267, 7780, 3821, 267, 715, 269, 962, 1421, 9849, 1412, 512, 339, 773, 454, 23210, 2112, 3444, 267, 941, 1851, 519, 1101, 454, 1729, 3802, 1524, 519, 14228, 680, 1678, 269, 661, 320, 523, 454, 13195, 606, 20626, 543, 729, 20295, 609, 454, 327, 3058, 1044, 15747, 538, 519, 632, 454, 560, 2315, 540, 476, 1724, 4436, 27858, 563, 309, 2718, 729, 21243, 676, 4937, 3212, 454, 28899, 4937, 6723, 4446, 32200, 267, 635, 454, 332, 6387, 540, 519, 2136, 2276, 7286, 454, 14585, 1186, 267, 849, 530, 534, 606, 2038, 22576, 689, 454, 1492, 6928, 269, 1261, 1185, 2370, 547, 2161, 2543, 454, 532, 519, 8165, 538, 5333, 267, 855, 546, 342, 3881, 454, 14075, 593, 1547, 519, 6830, 3363, 543, 552, 515, 334, 6888, 454, 1993, 519, 20754, 7980, 20829, 519, 2274, 454, 763, 2274, 12858, 11936, 4547, 476, 6434, 278, 271, 2367, 1439, 454, 334, 1553, 619, 689, 519, 8165, 4395, 269, 2701, 454, 13195, 5008, 743, 341, 4553, 676, 824, 4130, 454, 1407, 17632, 609, 811, 2367, 563, 12858, 11936, 20595, 20754, 2366, 1394, 454, 21353, 334, 10506, 538, 713, 2197, 563, 290, 2194, 664, 808, 269, 595, 269, 18171, 27451, 267, 10153, 952, 518, 628, 3716, 2676, 8624, 334, 1421, 945, 729, 20754, 538, 555, 334, 1488, 12455, 928, 454, 325, 18017, 729, 1851, 519, 15915, 2676, 295, 269, 645, 269, 26186, 514, 267, 1572, 519, 7952, 781, 454, 9767, 978, 652, 11024, 21622, 267, 3323, 585, 1010, 1753, 454, 529, 11968, 13353, 5612, 1310, 519, 454, 1839, 595, 19006, 661, 21815, 454, 12710, 308, 4953, 307, 10422, 292, 5723, 304, 291, 312, 261, 3213, 269, 589, 974, 808, 325, 25519, 615, 306, 454, 272, 654, 678, 10778, 272, 269, 631, 331, 630, 670, 454, 272, 834, 834, 30469, 261, 337, 22721, 330, 594, 454, 18154, 777, 1388, 4750, 7981, 29813, 341, 823, 994, 24841, 14315, 267, 5463, 269, 476, 1240, 269, 6004, 269, 543, 11427, 563, 293, 1042, 16019, 540, 713, 2749, 543, 555, 7546, 454, 5459, 267, 19186, 677, 16019, 267, 540, 8805, 11066, 267, 1471, 454, 1243, 693, 555, 334, 4630, 334, 540, 19124, 16019, 693, 454, 12507, 3218, 10732, 543, 11728, 563, 300, 3464, 269, 744, 269, 595, 4270, 518, 13984, 519, 24955, 454, 335, 1245, 2696, 3298, 5652, 13447, 693, 555, 334, 670, 11798, 580, 454, 514, 24144, 269, 1547, 256, 1412, 4429, 268, 26960, 614, 3143, 269, 476, 3066, 269, 681, 339, 589, 269, 631, 11221, 555, 334, 454, 31742, 323, 978, 10492, 1412, 18431, 13638, 269, 670, 269, 623, 563, 1320, 657, 3244, 338, 282, 4622, 267, 4432, 1067, 661, 269, 661, 564, 1479, 710, 597, 3248, 18285, 645, 269, 700, 269, 2871, 1170, 328, 14951, 337, 267, 808, 269, 631, 563, 22437, 768, 534, 282, 23122, 267, 674, 269, 654, 269, 5590, 1479, 332, 7546, 329, 454, 290, 269, 540, 670, 1421, 306, 269, 570, 269, 9652, 563, 300, 3464, 269, 808, 269, 674, 269, 13082, 5069, 25534, 267, 11427, 269, 808, 267, 700, 563, 4537, 648, 344, 543, 11427, 269, 670, 269, 2073, 700, 269, 28711, 13984, 454, 298, 617, 887, 1087, 11016, 693, 269, 30561, 269, 11427, 269, 590, 269, 661, 563, 295, 333, 6113, 4751, 5979, 540, 519, 631, 269, 918, 25581 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3047, 781, 5790, 269, 1703, 267, 9624, 519, 12511, 540, 2230, 267, 10627, 1117, 538, 552, 1492, 9418, 7943, 543, 11303, 676, 519, 12808, 26355, 267, 519, 2098, 5424, 26889, 1743, 26661, 9900, 2059, 267, 28703, 620, 21510, 676, 4229, 3564, 8223, 610, 1852, 780, 19602, 267, 1524, 2630, 267, 3377, 540, 519, 3811, 10131, 1185, 3262, 6385, 267, 13830, 519, 9345, 540, 1004, 5001, 269, 4317, 2923, 20555, 18388, 539, 609, 10311, 267, 1509, 525, 267, 543, 16555, 593, 519, 2912, 20160, 20089, 267, 799, 8604, 8195, 21494, 543, 11121, 269, 4634, 19023, 20691, 7948, 1405, 948, 855, 14952, 693, 519, 27265, 543, 22406, 7086, 2838, 547, 7485, 1055, 971, 513, 9028, 780, 3719, 711, 3025, 3838, 538, 519, 15131, 269, 6732, 2950, 6131, 547, 2230, 3408, 1232, 3072, 519, 25224, 607, 24735, 543, 3653, 995, 267, 19163, 602, 2200, 1223, 723, 1044, 1732, 21248, 2509, 811, 6209, 3621, 18697, 269, 2368, 13915, 4682, 865, 2484, 607, 547, 934, 2224, 918, 15598, 543, 2622, 7348, 540, 12394, 547, 31194, 593, 1857, 1719, 538, 2230, 1510, 7700, 4376, 8101, 547, 8103, 781, 1620, 540, 519, 7122, 780, 1103, 3210, 547, 891, 30852, 267, 3220, 269, 19134, 5950, 513, 3948, 21108, 519, 5698, 281, 834, 4407, 594, 1174, 930, 949, 2070, 713, 5692, 607, 8806, 513, 6725, 726, 1195, 267, 594, 3494, 602, 1022, 4674, 547, 8300, 4898, 543, 7279, 827, 519, 26355, 5713, 513, 3152, 3483, 269, 1635, 19713, 5969, 12967, 2029, 543, 11319, 519, 6302, 540, 1018, 781, 2009, 267, 649, 4126, 547, 8141, 1719, 538, 13241, 4610, 1851, 2104, 5481, 543, 6542, 602, 2257, 666, 8197, 581, 1187, 543, 3015, 3010, 12988, 538, 519, 1852, 4055, 267, 2705, 267, 2549, 20782, 1336, 9887, 32702, 609, 22027, 269, 16874, 789, 5963, 6913, 1945, 7415, 267, 610, 3274, 2695, 663, 1229, 3407, 2200, 593, 513, 627, 15501, 673, 16681, 286, 2701, 6785, 602, 4267, 2482, 3564, 1200, 9787, 585, 1631, 267, 19526, 2476, 1369, 10239, 540, 1239, 2943, 547, 581, 9916, 269, 1809, 607, 2592, 23953, 538, 689, 519, 26889, 781, 593, 4580, 12514, 267, 18995, 18198, 642, 626, 553, 540, 18477, 4703, 1305, 1996, 519, 22880, 3109, 17198, 540, 2230, 267, 1352, 7948, 1405, 948, 4743, 513, 7096, 2631, 540, 22920, 780, 291, 904, 5828, 883, 4374, 267, 543, 7444, 855, 15983, 267, 519, 1344, 29742, 539, 689, 519, 5692, 3459, 547, 7866, 922, 11580, 269, 19296, 4362, 1007, 2081, 547, 11126, 3440, 770, 3892, 267, 3850, 873, 547, 8831, 19426, 1134, 3564, 3105, 7182, 269, 11531, 267, 11626, 3744, 1031, 519, 5763, 540, 2825, 1239, 6394, 1282, 519, 3460, 547, 13217, 2916, 3631, 543, 2087, 4365, 12605, 7207, 780, 10214, 7855, 3893, 3238, 267, 6220, 22089, 689, 519, 2098, 5424, 781, 22116, 883, 3992, 4566, 2966, 547, 4497, 1053, 538, 3584, 8151, 689, 6323, 547, 7350, 269, 1280, 1082, 1453, 267, 7487, 513, 5432, 3090, 899, 519, 2699, 3613, 686, 6244, 918, 15598, 19943, 13735, 32668, 569, 10838, 519, 6801, 6039, 607, 513, 3532, 12576, 602, 1256, 8723, 3615, 1223, 1831, 9058, 2016, 519, 1318, 6381, 780, 27407, 267, 519, 3020, 9371, 540, 519, 2098, 5424, 6611, 17030, 9863, 2484, 811, 11972, 982, 4896, 1223, 723, 17191, 269, 898, 10489, 2105, 6071, 9746, 13319, 543, 2968, 513, 28487, 532, 3956, 585, 1346, 945, 5156, 538, 519, 13710, 1379, 540, 3621, 6602, 269, 3414, 713, 28031, 5652, 267, 6397, 7045, 267, 1004, 10876, 1350, 31663, 539, 519, 3808, 1652, 1761, 6456, 1369, 2933, 12544, 15266, 547, 519, 967, 558, 3386, 6891, 540, 5647, 602, 6013, 693, 519, 2295, 540, 1480, 3356, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 1700, 918, 15598, 3081, 621, 4566, 547, 1118, 513, 2230, 22082, 856, 540, 513, 9269, 26889, 1985, 3018, 950, 621, 15920, 621, 547, 519, 6316, 540, 519, 5790, 609, 519, 948, 540, 513, 1164, 268, 5306, 3363, 17891, 269, 634, 30572, 25224, 585, 519, 2098, 5424, 26889, 2501, 1079, 3275, 1310, 519, 3728, 1426, 5832, 30792, 7605, 8899, 324, 4730, 17996, 17054, 26560, 13653, 2051, 269, 4498, 1633, 9995, 619, 538, 513, 2230, 9290, 607, 851, 540, 606, 740, 5859, 267, 519, 6673, 5359, 269, 634, 18537, 16219, 547, 6494, 519, 3694, 539, 9269, 26889, 883, 2230, 269, 918, 15598, 568, 24574, 1359, 609, 17891, 20536, 2622, 7348, 593, 519, 1788, 269, 634, 5832, 3081, 519, 10131, 6885, 10741, 4873, 476, 2641, 585, 1018, 621, 3081, 568, 519, 13074, 6417, 14404, 2214, 8879, 17891, 8184, 609, 513, 5010, 31139, 538, 1686, 269, 634, 26889, 786, 2132, 547, 3618, 543, 3142, 1394, 7658, 11496, 1239, 269, 5240, 2593, 28898, 4967, 602, 519, 796, 334, 24810, 8331, 13772, 1895, 814, 1990, 532, 539, 918, 15598, 936, 519, 25224, 267, 15738, 856, 602, 519, 17891, 568, 1152, 2469, 909, 476, 3199, 267, 1822, 3952, 267, 827, 513, 10116, 540, 519, 1259, 547, 519, 918, 1301, 534, 7412, 1141, 2230, 568, 3622, 2808, 547, 2253, 269, 2334, 1797, 519, 9232, 692, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 7170, 281, 3245, 20023, 547, 15552, 281, 3733, 17023, 17714, 20553, 519, 2622, 540, 590, 18649, 7377, 11814, 532, 692, 296, 729, 2760, 513, 21689, 1107, 693, 2547, 267, 594, 4769, 1405, 1589, 594, 729, 269, 2290, 1554, 267, 1247, 19855, 1250, 2199, 4278, 3424, 4558, 267, 1945, 9575, 1250, 3750, 281, 606, 2025, 4837, 11480, 540, 14614, 1402, 689, 519, 1412, 2004, 338, 269, 2271, 29098, 267, 594, 4956, 547, 4444, 621, 267, 16287, 519, 4098, 540, 1250, 585, 599, 883, 713, 13395, 1158, 269, 9741, 1705, 594, 917, 267, 1250, 1272, 1131, 1491, 606, 6397, 2490, 267, 4904, 609, 17409, 267, 23274, 267, 543, 513, 9670, 3992, 827, 11505, 780, 2026, 594, 798, 557, 4514, 883, 519, 7706, 540, 21305, 14614, 10655, 267, 594, 2968, 811, 3978, 827, 16565, 4686, 9060, 269, 17652, 2614, 267, 594, 1336, 8885, 11504, 14908, 267, 11836, 2228, 2950, 267, 543, 9467, 16782, 609, 8284, 12439, 1472, 519, 8608, 269, 898, 7012, 1405, 1279, 1354, 594, 7691, 602, 972, 941, 1866, 945, 267, 1175, 899, 803, 267, 19644, 891, 9583, 27217, 882, 923, 540, 938, 2250, 780, 3080, 12556, 995, 15964, 267, 594, 13984, 513, 6237, 15007, 1141, 19216, 10356, 547, 2671, 741, 1702, 543, 4123, 678, 541, 885, 269, 2060, 1614, 10475, 14569, 538, 6287, 1765, 26421, 8066, 1713, 1871, 1813, 547, 741, 20317, 1765, 296, 5433, 8746, 602, 594, 1223, 1118, 930, 26656, 23194, 269, 2991, 782, 267, 594, 4941, 547, 4228, 1250, 4015, 609, 8449, 11141, 4773, 780, 4263, 519, 2680, 267, 594, 1558, 1776, 21689, 3957, 15608, 267, 4171, 6612, 585, 14614, 1612, 777, 615, 2522, 807, 20083, 9553, 269, 1284, 5734, 621, 1055, 14678, 267, 27433, 676, 938, 15116, 1719, 269, 1306, 649, 10004, 1540, 267, 594, 8068, 602, 15608, 1185, 1896, 2189, 3688, 593, 4159, 269, 7324, 873, 941, 1079, 796, 641, 2989, 267, 3908, 7160, 14569, 602, 533, 31985, 1250, 7279, 269, 22628, 606, 4316, 267, 594, 6069, 513, 4123, 780, 297, 4141, 8815, 547, 2285, 909, 1312, 14569, 952, 594, 851, 539, 2081, 609, 1250, 1034, 3407, 4062, 267, 855, 972, 729, 513, 6952, 269, 1261, 6700, 10438, 476, 3445, 260, 540, 922, 9115, 267, 4758, 1864, 476, 3583, 260, 540, 519, 6967, 4320, 540, 519, 824, 1079, 267, 543, 5329, 519, 1964, 585, 8885, 269, 2755, 26617, 693, 1101, 267, 594, 7948, 1405, 5706, 4687, 713, 2899, 2987, 8584, 2000, 604, 8135, 1995, 609, 971, 606, 993, 27809, 24928, 269, 1924, 267, 649, 695, 809, 3946, 543, 20177, 519, 4308, 780, 2171, 6170, 3108, 1927, 21523, 1424, 827, 6689, 8823, 859, 12097, 676, 1585, 14614, 10297, 267, 28617, 2394, 17229, 1792, 3139, 1524, 938, 1750, 4060, 269, 3973, 3357, 519, 4090, 540, 5168, 9789, 6679, 540, 519, 17028, 7458, 11480, 269, 11374, 998, 609, 519, 6876, 267, 594, 1743, 1678, 476, 3445, 260, 540, 922, 1543, 267, 6028, 1152, 476, 1015, 10065, 11531, 267, 15608, 3576, 1753, 476, 1789, 260, 689, 519, 824, 1079, 524, 913, 1540, 14569, 780, 5475, 2072, 267, 4743, 5594, 1769, 20243, 630, 663, 1714, 730, 1070, 594, 7229, 875, 1454, 14614, 7283, 1063, 519, 1614, 11149, 1210, 519, 1482, 4542, 3177, 538, 707, 4367, 269, 1677, 1250, 22035, 7321, 267, 1256, 1310, 713, 8966, 11834, 267, 594, 1869, 17477, 476, 3583, 260, 540, 513, 11480, 256, 901, 20185, 13351, 721, 1312, 609, 554, 1791, 640, 267, 4396, 4328, 938, 12691, 11505, 780, 1103, 24794, 1051, 267, 713, 7045, 6026, 803, 17170, 4245, 3564, 519, 32604, 540, 14614, 10655, 269, 17616, 267, 17052, 666, 10836, 689, 519, 1034, 1561, 321, 762, 6381, 950, 1004, 1921, 936, 3838, 18653, 269, 19627, 267, 3006, 19480, 3544, 4313, 10851, 5012, 547, 12423, 7772, 538, 519, 3460, 3294, 267, 2864, 982, 9003, 2519, 593, 519, 6364, 269, 1656, 6368, 267, 1100, 2339, 875, 29737, 610, 24735, 621, 949, 3100, 267, 2141, 3972, 2979, 282, 621, 4465, 1405, 1577, 596, 1524, 256, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 28490, 667, 15967, 7620, 1185, 476, 274, 14569, 540, 14614, 543, 646, 10057, 476, 3445, 260, 540, 835, 11480, 543, 5795, 476, 3583, 260, 540, 519, 824, 1079, 14569, 547, 1010, 2828, 267, 1018, 6871, 540, 513, 11480, 540, 14614, 1281, 667, 15967, 723, 2451, 888, 291, 15967, 7620, 1185, 476, 274, 14569, 540, 14614, 563, 3891, 10057, 476, 3445, 260, 540, 835, 11480, 267, 865, 646, 814, 476, 272, 910, 476, 3445, 260, 815, 476, 1015, 260, 540, 602, 11480, 2451, 563, 3891, 5795, 476, 3583, 260, 540, 519, 824, 1079, 14569, 547, 1010, 2828, 267, 865, 646, 814, 476, 1911, 260, 910, 476, 3583, 260, 815, 476, 1789, 260, 540, 1142, 540, 1346, 14569, 2451, 563, 11997, 267, 538, 2698, 267, 667, 15967, 814, 476, 1015, 260, 1341, 476, 1789, 260, 1341, 476, 1789, 260, 815, 476, 3583, 260, 540, 513, 11480, 540, 14614, 2451, 563, 2971, 476, 3583, 454, 763, 2626, 568, 281, 476, 3583, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 589, 7008, 540, 3275, 3516, 267, 594, 1336, 8885, 12597, 11546, 788, 538, 513, 1788, 602, 5916, 1250, 1554, 2816, 1983, 543, 835, 540, 1250, 13395, 12348, 910, 2679, 606, 2228, 4558, 6131, 7357, 547, 4686, 543, 16678, 2777, 17852, 269, 1306, 606, 4810, 3301, 11653, 267, 14335, 519, 3135, 729, 1134, 1369, 1250, 8868, 5264, 267, 855, 950, 621, 3357, 547, 4259, 909, 519, 552, 19645, 3760, 781, 1394, 754, 543, 8888, 922, 6538, 2497, 267, 594, 6785, 594, 2877, 948, 689, 513, 6325, 4199, 780, 3080, 10543, 267, 1247, 19855, 23749, 1282, 513, 2736, 267, 594, 16686, 2066, 678, 27160, 1260, 12692, 267, 1141, 1004, 4749, 4280, 782, 12204, 540, 2055, 11341, 547, 741, 1378, 3785, 269, 17828, 256, 3733, 1544, 729, 547, 1451, 689, 1866, 945, 1185, 2907, 8214, 1194, 2147, 2152, 865, 594, 1223, 4688, 942, 593, 4693, 543, 5470, 269, 1717, 267, 594, 8068, 1945, 15116, 282, 1082, 9708, 8659, 6402, 3056, 803, 547, 13334, 7044, 610, 21075, 5009, 1585, 2645, 543, 2533, 1510, 3246, 6405, 4267, 269, 898, 8604, 4831, 842, 30698, 547, 1265, 971, 1582, 1790, 668 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2250, 2090, 4857, 29817, 607, 513, 5664, 8003, 1104, 689, 715, 889, 807, 267, 930, 811, 2487, 1382, 11099, 1864, 547, 581, 606, 12266, 5065, 269, 22895, 687, 540, 29817, 666, 581, 14360, 547, 519, 7013, 3338, 540, 519, 6196, 8003, 282, 2705, 1010, 1381, 1705, 711, 1831, 7839, 2394, 1134, 883, 519, 1715, 8003, 269, 29817, 729, 476, 272, 540, 513, 1297, 540, 12266, 21221, 10971, 269, 634, 21072, 26060, 546, 8705, 12028, 267, 3976, 13269, 930, 10971, 607, 546, 8705, 12028, 269, 4706, 711, 2009, 547, 4266, 713, 1265, 607, 621, 1223, 723, 2097, 689, 5527, 1022, 942, 689, 7366, 540, 1296, 1354, 519, 595, 269, 661, 269, 610, 7366, 540, 1296, 1310, 563, 13480, 4797, 538, 519, 16081, 6244, 6418, 1858, 540, 12068, 476, 274, 267, 9247, 1152, 3850, 476, 272, 1268, 547, 960, 693, 513, 942, 269, 634, 1283, 540, 513, 1507, 7532, 270, 8054, 3774, 729, 20114, 799, 786, 581, 4797, 547, 581, 5249, 593, 1282, 519, 4947, 4374, 563, 10111, 331, 781, 2319, 538, 589, 7178, 14155, 730, 6266, 540, 13897, 1299, 7725, 20392, 811, 540, 519, 4936, 270, 3528, 345, 14932, 3889, 269, 589, 19730, 11777, 729, 1336, 1299, 1256, 1498, 621, 814, 711, 1044, 19345, 621, 5526, 547, 723, 519, 3239, 540, 513, 4936, 17169, 267, 1034, 2693, 689, 519, 476, 272, 560, 2540, 595, 9950, 269, 2991, 7738, 649, 949, 581, 2111, 547, 3313, 799, 17169, 621, 568, 563, 288, 16336, 781, 27805, 23362, 3576, 856, 13999, 540, 7725, 1299, 13897, 689, 519, 1858, 1175, 7532, 540, 519, 1292, 2749, 8265, 269, 4595, 922, 1175, 5087, 540, 513, 26832, 3774, 1299, 814, 513, 7934, 540, 9625, 274, 7397, 630, 349, 1724, 3952, 264, 2073, 681, 9564, 568, 3206, 602, 713, 1522, 581, 519, 1216, 10766, 8574, 3056, 856, 540, 519, 2749, 547, 519, 5614, 14084, 22703, 540, 519, 2749, 267, 10169, 1524, 689, 519, 2749, 1292, 10766, 269, 1358, 4312, 6569, 827, 476, 277, 3952, 630, 349, 273, 7397, 264, 540, 11935, 282, 513, 7372, 2816, 585, 513, 9425, 1804, 1858, 936, 476, 280, 2395, 540, 20857, 269, 8111, 960, 30314, 901, 1858, 786, 4440, 581, 6806, 2394, 519, 1376, 540, 519, 476, 273, 526, 8400, 593, 476, 1428, 4873, 563, 7628, 835, 540, 519, 12784, 7886, 24204, 1998, 630, 312, 12320, 328, 945, 1336, 519, 834, 27716, 257, 10935, 264, 13198, 325, 517, 5143, 519, 13538, 827, 4620, 5766, 569, 874, 338, 630, 13702, 1286, 19133, 264, 602, 646, 1336, 538, 519, 717, 16394, 541, 4610, 269, 12390, 534, 1744, 2378, 597, 3576, 513, 3126, 540, 8748, 5961, 6029, 519, 1585, 5515, 540, 2831, 267, 513, 25433, 609, 27490, 29845, 513, 9923, 4302, 27085, 1452, 5961, 666, 581, 2938, 693, 910, 5291, 2517, 30679, 14505, 19986, 269, 2998, 4355, 2593, 270, 9080, 903, 327, 2967, 18025, 564, 5766, 569, 874, 338, 303, 1112, 999, 3528, 295, 534, 534, 4537, 2378, 597, 563, 9616, 2433, 21624, 22884, 5816, 910, 5291, 2517, 1105, 2801, 1108, 323, 12127, 269, 24108, 4944, 582, 2593, 13045, 14549, 1719, 910, 5291, 2517, 4178, 2593, 22861, 640, 14585, 22046, 550, 2593, 31574, 696, 332, 32551, 3406, 585, 7225, 603, 5576, 23702, 345, 0, 13328, 1893, 2090, 1683, 1053, 609, 606, 1620, 543, 7071, 454, 1993, 519, 2528, 267, 3332, 267, 543, 1686, 540, 824, 2477, 269, 4841, 945, 1353, 454, 16447, 4654, 711, 1152, 5965, 2933, 547, 7119, 538, 513, 3309, 454, 3256, 4382, 2528, 543, 513, 1158, 4346, 267, 855, 1382, 2982, 602, 1053, 454, 13231, 3539, 1158, 4654, 1020, 6793, 2979, 543, 2542, 1983, 607, 1134, 563, 9596, 811, 827, 1158, 454, 331, 4833, 3292, 689, 670, 32080, 631, 858, 4802, 269, 0, 14112, 4828, 5999, 454, 763, 476, 2568, 2110, 1557, 2055, 7396, 538, 713, 3296, 2154, 513, 835, 547, 1079, 4845, 2626, 269, 1358, 2307, 1053, 547, 6542, 513, 4514, 1620, 540, 519, 1257, 269, 4841, 1590, 4766, 1018, 789, 4312, 1224, 267, 2864, 982, 1175, 11291, 621, 563, 14112, 4828, 7726, 910, 3848, 476, 272, 267, 6601, 1777, 517, 1923, 3848, 476, 273, 267, 6754, 2088, 454, 272, 269, 1215, 1281, 21667, 2070, 6754, 2088, 950, 1352, 1101, 2501, 547, 3251, 609, 519, 6601, 1777, 976, 888, 273, 269, 1215, 1281, 6754, 2088, 957, 950, 6004, 269, 5851, 7024, 547, 519, 6601, 1777, 517, 781, 538, 519, 4098, 540, 519, 3209, 888, 14112, 4828, 7726, 910, 3848, 476, 274, 267, 634, 7591, 10863, 1923, 3848, 476, 275, 267, 7323, 4728, 23992, 454, 274, 269, 14674, 6754, 2088, 543, 24023, 781, 2078, 693, 519, 4098, 540, 519, 1433, 563, 275, 269, 14674, 7323, 4728, 23992, 563, 14112, 4828, 7726, 910, 3848, 476, 276, 267, 5695, 940, 513, 1715, 23516, 1923, 3848, 476, 277, 267, 5507, 454, 276, 269, 1215, 568, 21667, 1310, 7323, 4728, 23992, 781, 2669, 888, 1607, 3296, 3568, 476, 272, 267, 4962, 279, 1913, 2008, 26140, 269, 476, 275, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 8245, 2952, 2253, 17511, 610, 946, 519, 11049, 2645, 1657, 547, 1039, 547, 713, 2376, 563, 5629, 596, 616, 8737, 543, 4945, 10505, 267, 707, 12381, 786, 581, 2366, 547, 938, 15769, 585, 2689, 563, 553, 1051, 540, 7990, 8613, 21200, 454, 3528, 13321, 519, 3119, 12258, 712, 2418, 267, 621, 568, 2009, 547, 14574, 1022, 25549, 1769, 676, 1614, 9424, 281, 630, 272, 264, 922, 24788, 766, 630, 1962, 697, 1145, 610, 968, 1962, 650, 4800, 892, 5148, 630, 273, 264, 922, 27280, 630, 1492, 25017, 267, 610, 836, 8864, 267, 17824, 8864, 267, 610, 3039, 1145, 267, 3092, 1421, 540, 519, 1769, 5148, 543, 630, 274, 264, 922, 25294, 630, 341, 1204, 8957, 2250, 601, 2298, 1040, 4595, 519, 5497, 24788, 766, 1871, 540, 1142, 1448, 538, 519, 17655, 4806, 568, 10299, 676, 2483, 21975, 547, 7990, 454, 288, 7990, 666, 267, 2705, 267, 581, 10502, 9138, 676, 922, 27280, 267, 25294, 267, 543, 21386, 1765, 22764, 10305, 6190, 547, 10646, 621, 689, 782, 824, 2009, 9228, 15437, 269, 634, 27280, 568, 602, 2460, 540, 7990, 2356, 2404, 609, 2474, 971, 607, 2699, 267, 10538, 267, 5835, 267, 543, 865, 8521, 269, 590, 4405, 566, 630, 10193, 1634, 607, 6985, 320, 610, 3159, 264, 4016, 547, 3448, 19454, 269, 1879, 513, 6986, 267, 12667, 267, 2178, 12094, 540, 2699, 568, 2483, 763, 9030, 7516, 540, 7990, 538, 7206, 616, 519, 4632, 610, 10305, 540, 27280, 267, 3159, 267, 543, 8515, 269, 4414, 267, 5835, 267, 543, 4544, 616, 519, 2596, 24698, 689, 799, 782, 1866, 593, 519, 6985, 1738, 4336, 666, 581, 1500, 676, 23399, 269, 1452, 1614, 32630, 24698, 616, 519, 10208, 633, 20119, 2215, 2456, 543, 1058, 711, 581, 11821, 609, 519, 7180, 540, 519, 19605, 2468, 6758, 543, 23399, 540, 12001, 267, 25549, 1769, 19601, 9679, 543, 8226, 454, 1862, 20791, 1765, 324, 3052, 1421, 2947, 2587, 560, 668, 338, 1765, 7224, 3017, 666, 581, 15874, 269, 1306, 519, 3017, 568, 2799, 267, 513, 1448, 568, 6603, 950, 519, 1079, 30556, 540, 519, 5496, 2408, 8335, 25549, 269, 634, 27280, 7130, 630, 27280, 568, 519, 2298, 540, 7990, 602, 568, 5462, 676, 15423, 264, 6027, 538, 713, 1259, 9775, 609, 519, 3148, 540, 519, 8552, 8947, 282, 3976, 267, 538, 519, 4544, 25984, 543, 5835, 621, 568, 607, 2483, 1432, 1500, 596, 1616, 547, 1413, 909, 834, 327, 826, 22172, 7490, 2671, 1018, 14281, 596, 1034, 1862, 0, 23322, 2524, 540, 23197, 16600, 325, 710, 543, 21432, 5536, 1282, 519, 8241, 7452, 7088, 540, 476, 2537, 5181, 476, 1220, 280, 454, 8512, 1834, 1297, 9830, 543, 2450, 14778, 267, 15287, 543, 28634, 2527, 9830, 543, 4365, 6724, 941, 16913, 538, 645, 5142, 321, 2033, 267, 5245, 267, 593, 476, 2537, 5181, 476, 1220, 280, 267, 1282, 519, 8574, 540, 513, 7452, 7088, 602, 12090, 476, 9610, 271, 5998, 2476, 538, 519, 3819, 18626, 9703, 269, 634, 7452, 5834, 8445, 539, 693, 827, 4571, 6377, 950, 519, 5662, 569, 3328, 6751, 273, 269, 276, 543, 6751, 1015, 2418, 6603, 476, 279, 1691, 543, 476, 5038, 277, 271, 13179, 326, 544, 6629, 274, 267, 6606, 267, 609, 513, 8325, 6749, 538, 11626, 15287, 269, 589, 5276, 9695, 2079, 4951, 513, 1434, 9756, 1063, 519, 11664, 540, 1769, 22502, 676, 5536, 630, 289, 4944, 264, 543, 1312, 6751, 1015, 543, 6751, 273, 269, 276, 269, 634, 9325, 1297, 538, 519, 2450, 2039, 476, 271, 269, 276, 268, 736, 32755, 17820, 513, 561, 1758, 5436, 2450, 3892, 609, 1110, 531, 543, 22762, 3740, 1611, 5603, 4394, 540, 476, 272, 269, 277, 543, 476, 272, 269, 280, 32755, 267, 6606, 269, 634, 1110, 531, 2527, 729, 1472, 476, 1015, 32755, 609, 1447, 982, 476, 1015, 260, 540, 519, 2527, 5645, 676, 5536, 4130, 982, 476, 273, 269, 276, 32755, 269, 634, 6751, 1015, 6824, 20039, 585, 827, 476, 6924, 260, 540, 519, 2698, 2527, 269, 1635, 4571, 6377, 267, 607, 519, 7452, 3459, 547, 2333, 25921, 267, 519, 16600, 325, 710, 9325, 1297, 5834, 8593, 689, 827, 476, 277, 343, 9818, 4699, 6629, 274, 547, 476, 274, 343, 9818, 4699, 6629, 274, 543, 1287, 4797, 547, 6175, 547, 1447, 982, 476, 272, 343, 9818, 4699, 6629, 274, 676, 476, 1691, 327, 267, 6029, 513, 1379, 25237, 6175, 609, 645, 4944, 609, 606, 681, 273, 1871, 540, 476, 271, 269, 6507, 630, 335, 283, 271, 269, 4905, 1040, 8299, 571, 325, 710, 9325, 2450, 14778, 849, 4951, 513, 1713, 6175, 538, 1297, 1282, 519, 7452, 7088, 269, 901, 568, 519, 1101, 3621, 1353, 540, 9325, 2450, 14778, 538, 606, 8241, 7452, 7088, 269, 0, 347, 10870, 2286, 4437, 727, 2559, 923, 28497, 281, 29896, 3525, 2454, 2008, 20663, 11191, 20592, 568, 513, 3532, 1907, 602, 666, 581, 1031, 547, 2744, 5813, 883, 519, 11707, 540, 27590, 10415, 4480, 269, 11109, 4857, 519, 5817, 11707, 2773, 949, 581, 5688, 2213, 543, 1007, 1983, 2919, 269, 1306, 2780, 4393, 1379, 814, 2799, 865, 723, 519, 3156, 585, 11191, 20592, 269, 3194, 568, 4867, 1373, 5342, 547, 9192, 11191, 3631, 609, 5691, 4641, 5054, 547, 3132, 5499, 27590, 10415, 2866, 11226, 563, 1103, 27590, 10415, 972, 568, 1419, 811, 982, 835, 4480, 1031, 547, 1685, 519, 1482, 5578, 269, 769, 891, 3871, 519, 2243, 568, 968, 7617, 568, 519, 1655, 4480, 286, 6100, 634, 2048, 12895, 685, 4480, 786, 4096, 593, 1082, 2188, 1519, 519, 2085, 543, 7041, 540, 519, 27590, 770, 543, 519, 1279, 2165, 1544, 540, 519, 16455, 630, 328, 4318, 269, 799, 4480, 786, 1450, 519, 1646, 540, 811, 1950, 5578, 7648, 1040, 29896, 20592, 543, 5688, 5314, 666, 581, 1031, 547, 948, 2626, 971, 2055, 269, 5565, 2553, 941, 4857, 538, 519, 18006, 3332, 585, 519, 9207, 12002, 5435, 547, 1688, 1056, 593, 6252, 13063, 630, 291, 32713, 267, 476, 1220, 276, 1040, 5565, 5688, 31907, 941, 5340, 609, 519, 6060, 1759, 593, 630, 320, 264, 6922, 2358, 4745, 8731, 13196, 543, 630, 321, 264, 8506, 513, 7299, 2619, 540, 519, 2527, 8998, 1991, 547, 5305, 630, 295, 13704, 267, 15651, 2401, 1299, 20530, 525, 30501, 267, 476, 1220, 280, 1040, 634, 1079, 6099, 3435, 5702, 11696, 1194, 519, 2553, 4857, 538, 519, 18006, 3332, 630, 8201, 476, 272, 1040, 5637, 2553, 949, 581, 1031, 676, 519, 16455, 267, 855, 693, 1114, 5933, 540, 519, 27590, 770, 779, 1646, 269, 634, 1394, 2312, 5858, 4480, 630, 8201, 476, 272, 320, 264, 568, 1447, 14053, 538, 2474, 540, 4222, 267, 543, 949, 581, 7550, 1282, 519, 3355, 5933, 540, 1565, 269, 24641, 519, 588, 17274, 26106, 1457, 4480, 630, 8201, 476, 273, 321, 1070, 799, 3340, 811, 4222, 267, 814, 5383, 585, 5578, 11144, 267, 585, 1383, 538, 519, 9207, 12002, 5435, 547, 1688, 1056, 609, 2901, 513, 3368, 610, 2407, 2490, 563, 8201, 476, 272, 269, 634, 6099, 630, 320, 264, 1394, 2312, 5858, 543, 630, 321, 264, 588, 17274, 26106, 1457, 9207, 12002, 5435, 547, 1688, 1056, 2553, 563, 8245, 1637, 20592, 666, 849, 581, 1031, 547, 2087, 2773, 267, 2436, 621, 568, 547, 2333, 519, 1297, 540, 1474, 619, 5435, 338, 270, 13512, 1235, 602, 666, 581, 5340, 538, 513, 10982, 870, 610, 547, 3589, 11207, 1007, 1983, 269, 4635, 513, 11191, 2203, 540, 19666, 3350, 962, 1737, 517, 630, 1220, 280, 264, 9619, 519, 1739, 2243, 15054, 676, 513, 3084, 1954, 5598, 19666, 31562, 16455, 968, 1692, 666, 2947, 23538, 581, 3812, 538, 513, 17784, 1474, 619 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2327, 602, 1269, 325, 262, 259, 568, 849, 606, 14802, 845, 585, 1269, 307, 3709, 335, 317, 328, 4153, 3667, 346, 269, 10592, 8196, 519, 3069, 540, 1007, 13257, 269, 1703, 616, 1100, 2025, 13257, 585, 4399, 294, 10397, 318, 272, 9638, 7751, 607, 1422, 8218, 346, 3225, 566, 15857, 631, 318, 273, 7268, 28072, 4067, 346, 20784, 20731, 273, 7268, 10400, 346, 313, 348, 4297, 815, 476, 271, 20728, 346, 269, 348, 1422, 754, 346, 3225, 566, 15857, 589, 1007, 845, 602, 568, 606, 14802, 845, 585, 782, 646, 322, 651, 12427, 2941, 31870, 547, 519, 1377, 1269, 335, 259, 568, 849, 606, 14802, 845, 585, 519, 6967, 1261, 322, 651, 12427, 780, 3383, 538, 3932, 1384, 7462, 3816, 1046, 692, 17504, 593, 519, 4950, 568, 602, 631, 1794, 584, 267, 631, 1794, 584, 8862, 3796, 262, 6169, 540, 519, 6301, 28756, 675, 540, 594, 13195, 11867, 3069, 568, 1110, 8215, 593, 713, 780, 6546, 781, 782, 585, 1631, 267, 538, 519, 14230, 540, 681, 15785, 781, 1957, 646, 21437, 513, 8895, 12251, 6041, 689, 713, 543, 946, 621, 547, 6961, 519, 11532, 780, 258, 681, 15785, 781, 1230, 2091, 547, 4173, 25912, 281, 3487, 594, 692, 25402, 6563, 594, 6557, 4758, 519, 5254, 17803, 2911, 593, 681, 15785, 779, 598, 2091, 547, 4173, 25912, 779, 11532, 267, 1310, 594, 3580, 2119, 543, 2022, 811, 4967, 267, 855, 585, 1631, 1934, 779, 513, 2370, 25644, 547, 1205, 721, 3206, 827, 519, 1966, 780, 258, 681, 15785, 781, 598, 2091, 547, 4173, 25912, 692, 2171, 616, 5461, 538, 519, 1362, 2516, 540, 7814, 582, 5669, 4610, 1422, 8218, 346, 3225, 566, 15857, 554, 7272, 815, 554, 18155, 10400, 346, 304, 32710, 14153, 7272, 264, 4153, 3667, 346, 269, 348, 1422, 754, 346, 3225, 566, 15857, 700, 1115, 1592, 519, 1101, 1906, 540, 891, 692, 7462, 9502, 19894, 22136, 692, 2171, 3513, 1289, 22136, 585, 799, 1269, 335, 14826, 13232, 554, 7272, 259, 2834, 22136, 269, 19227, 12150, 22136, 780, 3963, 568, 713, 1271, 689, 513, 1297, 3069, 5133, 2496, 2005, 781, 2182, 547, 2995, 950, 513, 6305, 568, 513, 2834, 6305, 267, 596, 9364, 723, 547, 12337, 519, 1362, 1895, 780, 7462, 9502, 289, 1716, 537, 25651, 2338, 692, 763, 12672, 537, 25651, 2338, 616, 519, 5311, 540, 9981, 2016, 676, 519, 12825, 10451, 1599, 1422, 8218, 346, 3225, 566, 15857, 1422, 2765, 12757, 2410, 324, 28682, 910, 476, 272, 348, 1341, 1422, 2765, 1535, 273, 910, 476, 272, 815, 1422, 8999, 3709, 333, 315, 613, 476, 273, 11892, 315, 13727, 645, 17624, 21702, 12757, 317, 330, 2410, 330, 256, 4153, 3667, 346, 269, 348, 1422, 754, 346, 3225, 566, 265, 10926, 4322, 723, 513, 1297, 540, 3579, 3601, 267, 971, 607, 1384, 3719, 1034, 1271, 585, 721, 568, 519, 6935, 547, 1362, 2338, 1384, 1607, 568, 513, 1390, 11532, 11341, 1362, 2338, 547, 519, 12672, 537, 25651, 2338, 267, 855, 666, 649, 798, 1732, 286, 1548, 952, 594, 917, 513, 1808, 1269, 330, 259, 865, 602, 1269, 335, 21270, 17624, 20728, 346, 267, 4151, 666, 594, 2161, 4376, 811, 1808, 827, 519, 1362, 1895, 286, 8786, 282, 972, 568, 513, 14304, 540, 713, 11532, 1813, 538, 713, 1106, 547, 4173, 25912, 630, 514, 835, 4287, 264, 543, 681, 15785, 630, 331, 831, 267, 538, 519, 824, 4287, 6393, 5575, 649, 991, 547, 11291, 519, 1110, 1269, 335, 259, 7814, 582, 5669, 1915, 4399, 14024, 315, 3712, 517, 1422, 28072, 4067, 346, 29727, 32710, 28235, 3189, 10400, 346, 304, 3686, 270, 315, 10400, 346, 304, 16585, 1422, 1729, 1422, 10400, 346, 293, 20731, 335, 317, 265, 259, 3989, 676, 1422, 8218, 346, 3225, 566, 15857, 1422, 345, 9508, 7272, 17353, 14024, 7268, 18406, 14587, 815, 1422, 18406, 22570, 345, 9508, 7272, 9385, 3667, 346, 269, 348, 1422, 754, 346, 3225, 566, 265, 10926, 763, 4399, 29381, 5535, 259, 4287, 729, 9863, 676, 4173, 25912, 538, 476, 4350, 273, 269, 1656, 519, 4399, 23976, 259, 4287, 676, 681, 15785, 538, 476, 3192, 275, 780, 3086, 585, 1264, 28467, 1934, 568, 513, 3349, 540, 3815, 31907, 540, 12672, 537, 25651, 1297, 6746, 2209, 780, 763, 13392, 25262, 640, 1876, 1568, 585, 26499, 516, 6698, 609, 9642, 13366, 267, 711, 1175, 22136, 4399, 3847, 7268, 2765, 21151, 2410, 321, 4153, 2431, 264, 815, 1422, 3847, 7268, 2765, 15830, 2410, 320, 4153, 2431, 264, 11196, 272, 8203, 3189, 2765, 21151, 268, 272, 2410, 273, 4153, 2765, 15830, 268, 272, 2410, 273, 3686, 269, 6911, 258, 10435, 570, 27691, 16630, 2439, 1607, 568, 513, 1747, 14516, 585, 513, 2022, 602, 786, 2408, 14182, 547, 3247, 2142, 655, 5407, 2921, 1250, 2724, 269, 898, 3580, 581, 4502, 519, 7227, 2439, 258, 1548, 781, 602, 7121, 2496, 5278, 22394, 4555, 827, 513, 20868, 7121, 803, 543, 1250, 2777, 22940, 3893, 547, 3206, 827, 5063, 267, 19890, 594, 6557, 513, 2370, 1932, 3207, 344, 547, 2328, 4376, 811, 17396, 1318, 1631, 267, 855, 581, 655, 5407, 7569, 24744, 780, 2691, 3257, 1875, 268, 8475, 1014, 1895, 16649, 558, 1108, 630, 663, 1082, 824, 1919, 264, 596, 1439, 909, 7231, 609, 519, 7121, 540, 11329, 5036, 267, 602, 568, 267, 5036, 609, 513, 1448, 9138, 267, 543, 1141, 10641, 3359, 1590, 4786, 9138, 2798, 547, 1142, 824, 269, 901, 7121, 568, 2965, 9425, 8799, 630, 528, 693, 2547, 12137, 518, 982, 10750, 4399, 9507, 346, 13729, 4151, 568, 19037, 264, 1202, 558, 1276, 607, 621, 814, 513, 4642, 1843, 630, 328, 4318, 269, 606, 1843, 602, 568, 1312, 3355, 543, 12363, 1070, 519, 835, 3693, 1305, 267, 713, 2636, 721, 547, 1118, 2631, 540, 737, 1716, 1564, 3092, 269, 799, 568, 513, 8799, 3364, 547, 581, 2111, 547, 2911, 827, 269, 1924, 1946, 798, 649, 1205, 513, 476, 271, 268, 15953, 1934, 286, 4270, 519, 835, 3693, 1305, 568, 2907, 12363, 538, 4399, 9507, 346, 13729, 4151, 865, 649, 1205, 12363, 1145, 585, 1863, 267, 607, 585, 1946, 621, 568, 3355, 621, 779, 13031, 547, 4766, 519, 7121, 540, 11329, 5036, 538, 513, 1114, 1259, 281, 1284, 666, 5973, 1836, 4766, 621, 607, 519, 5430, 331, 823, 7121, 4399, 346, 265, 1422, 348, 1422, 6658, 5535, 1422, 9507, 346, 13729, 20954, 1141, 519, 3615, 616, 10641, 3359, 538, 4399, 9507, 346, 13729, 4151, 689, 519, 835, 3693, 1305, 630, 15130, 596, 519, 9138, 1448, 264, 543, 519, 1007, 10641, 3359, 616, 862, 5024, 12730, 538, 4399, 9507, 346, 13729, 23201, 1879, 649, 798, 713, 649, 540, 1576, 1205, 519, 1843, 649, 5430, 997, 539, 693, 630, 528, 811, 4481, 922, 3961, 10641, 1143, 264, 607, 606, 3355, 1843, 267, 543, 607, 649, 2907, 1185, 513, 2189, 4786, 689, 1022, 1843, 547, 713, 1843, 649, 1205, 602, 922, 3961, 4786, 547, 3294, 568, 12363, 849, 780, 1607, 3893, 803, 3206, 827, 4399, 9507, 346, 10135, 532, 20954, 799, 1102, 600, 3585, 3085, 1406, 723, 737, 1716, 1564, 267, 865, 1018, 952, 649, 1246, 519, 11600, 1657, 610, 693, 2547, 621, 779, 12242, 543, 2015, 519, 20105, 7121, 936, 519, 3355, 1843, 4399, 10400, 346, 313, 23201, 1635, 519, 12242, 540, 519, 1657, 713, 1058, 1631, 723, 513, 476, 271, 268, 15953, 630, 1492, 3961, 4786, 593, 4399, 10400, 346, 313, 4151, 264, 543, 865, 649, 1223, 1106, 737, 1716, 1564, 267, 8197, 519, 17830, 540, 513, 10641, 1143, 1269, 288, 1422, 1729, 645, 259, 630, 3602, 1312, 1269, 288, 259, 543, 1269, 289, 259, 723, 606, 2404, 4786, 547, 4399, 10400, 346, 313, 4151, 264, 1058, 581, 519, 840, 13548, 540, 4399, 10400, 346, 313, 4151, 594, 15475, 267, 543, 713, 568, 4440, 513, 1016, 2590, 2496, 6524, 649, 1205, 547, 602, 1498, 581, 1058, 2307, 1018, 1281, 713, 7121, 4399, 9507, 346, 10135, 532, 4153, 6658, 5535, 1422, 10400, 346, 313, 4151, 1256, 1413, 899, 26834, 898, 779, 711, 11613, 24735, 607, 2484, 607, 594, 666, 2995, 607, 649, 1205, 7851, 689, 9971, 14034, 883, 4399, 10400, 346, 313, 4151, 689, 10442, 693, 8870, 10321, 269, 1284, 666, 849, 1039, 538, 562, 559, 13607, 757, 543, 824, 8631, 602, 1175, 7475, 909, 11837, 547, 4642, 855, 568, 1869, 5386, 269, 1717, 593, 519, 824, 1688, 649, 5612, 4341, 856, 2318, 8984, 14034, 267, 543, 4376, 799, 12679, 1206, 606, 3693, 540, 4399, 10400, 346, 313, 31859, 296, 2731, 723, 1100, 8753, 827, 1018, 713, 7121, 540, 862, 32477, 14034, 609, 513, 4786, 547, 4399, 10400, 346, 313, 4151, 2965, 568, 267, 855, 621, 568, 3833, 1187, 547, 1404, 609, 780, 258, 2368, 16168, 11269, 692, 2026, 851, 540, 513, 4901, 538, 938, 8895, 12251, 11269, 1576, 3627, 19161, 323, 718, 13934, 721, 547, 2097, 909, 609, 513, 6041, 602, 568, 9048, 3027, 1043, 855, 711, 11613, 10859, 1606, 574, 921, 269, 594, 1336, 713, 513, 7168, 1187, 3364, 547, 1589, 827, 865, 594, 2219, 594, 8910, 2328, 909, 1250, 3356, 543, 1018, 519, 1985, 3268, 616, 780, 5575, 1919, 1101, 513, 12576, 540, 519, 8847, 281, 606, 9048, 3027, 1043, 6041, 568, 835, 609, 1100, 6378, 1016, 11898, 267, 543, 513, 5033, 529, 574, 921, 6041, 568, 835, 799, 666, 581, 2854, 607, 513, 1463, 2040, 540, 9048, 3027, 1043, 11269, 269, 17006, 519, 2262, 11613, 1175, 1797, 602, 649, 2154, 519, 3959, 547, 581, 3020, 585, 519, 6041, 9117, 593, 519, 6152, 5624, 936, 15821, 19479, 540, 519, 3490, 2361, 269, 1635, 3850, 811, 2489, 14170, 1919, 602, 616, 9048, 3027, 1043, 547, 1376, 609, 666, 3362, 1831, 1487, 24862, 780, 2414, 1376, 938, 3406, 13071, 960, 609, 519, 1034, 2241, 1826, 540, 5732, 4277, 11269, 594, 666, 1589, 540, 267, 891, 1413, 1945, 899, 692, 6518, 616, 7357, 5462, 676, 519, 3239, 540, 476, 272, 267, 13071, 2119, 543, 1265, 606, 3617, 5119, 547, 1118, 519, 1383, 649, 1616, 960, 780, 1103, 1250, 2212, 1875, 5498, 14741, 1606, 574, 921, 1919, 1413, 1945, 899, 713, 692, 3383, 538, 1931, 547, 1265, 606, 9048, 3027, 1043, 1875, 11613, 5033, 529, 574, 921, 6041, 649, 1616, 547, 1265, 513, 5119, 936, 513, 2361, 799, 814, 1100, 27744, 267, 855, 799, 936, 519, 15821, 19479, 814, 7368, 27744, 269, 901, 568, 711, 2009, 936, 4399, 10400, 346, 290, 4151, 585, 1383, 267, 607, 519, 10250, 1131, 723, 547, 581, 7466, 519, 14802, 7407, 269, 901, 1131, 1287, 2285, 602, 519, 27744, 941, 2933, 538, 519, 2666, 2361, 267, 543, 4061, 519, 27744, 941, 3989, 936, 1269, 298, 259, 538, 519, 1101, 1747, 780, 1607, 4990, 540, 20868, 2789, 5072, 540, 9048, 3027, 1043, 21335, 8631, 4523, 1152, 585, 1875, 12656, 2739, 4610, 630, 2421, 4214, 1070, 540, 799, 519, 1034, 20926, 1383, 568, 4399, 10400, 346, 293, 20731, 335, 9230, 339, 4297, 10608, 3371, 519, 9971, 1269, 343, 317, 335, 910, 512, 259, 568, 9048, 3027, 1043, 855, 814, 7368, 5072, 936, 519, 15821, 19479, 607, 621, 2188, 607, 18159, 343, 10559, 6912, 314, 335, 31765, 339, 348, 8203, 335, 10608, 1306, 649, 616, 7231, 609, 476, 273, 8820, 11269, 1934, 649, 1058, 1413, 585, 513, 5119, 936, 4399, 10400, 346, 293, 20731, 273, 9230, 339, 4297, 259, 609, 8984, 9971, 1269, 343, 317, 273, 910, 512, 8961, 835, 2241, 1383, 540, 713, 568, 519, 5119, 692, 3383, 649, 723, 513, 5119, 602, 814, 1100, 27744, 936, 519, 3490, 2361, 855, 7368, 27744, 936, 519, 15821, 19479, 269, 1284, 1631, 991, 547, 2638, 602, 621, 1152, 814, 513, 835, 21021, 552, 580, 839, 10628, 267, 547, 581, 2386, 602, 649, 723, 513, 1875, 11613, 5033, 529, 574, 921, 6041, 269, 901, 552, 580, 839, 10628, 568, 2016, 676, 519, 17830, 540, 692, 6518, 568, 8197, 835, 21021, 543, 865, 649, 616, 2944, 780, 3080, 3959, 540, 713, 1383, 568, 602, 952, 649, 2015, 519, 19231, 540, 519, 6041, 547, 519, 32299, 1269, 273, 315, 10400, 346, 313, 4151, 649, 1205, 1945, 5033, 529, 574, 921, 607, 519, 4009, 540, 938, 5119, 1269, 300, 259, 568, 15497, 269, 634, 1007, 4824, 4161, 568, 4061, 547, 1265, 513, 6041, 585, 799, 713, 3085, 1406, 4755, 2901, 282, 811, 12799, 547, 1265, 606, 9048, 3027, 1043, 711, 11613, 5033, 529, 574, 921, 6041, 799, 3788, 602, 1259, 593, 782, 13113, 4994, 1016, 25364, 269, 594, 1810, 1406, 1589, 519, 1383, 594, 723, 1318, 1631, 666, 581, 6905, 547, 713, 2013, 543, 621, 1522, 581, 2556, 547, 1413, 693, 11269, 540, 811, 16678, 2516, 982, 3274, 4399, 10400, 346, 313, 4151, 585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5131, 994, 2562, 29052, 17472, 267, 623, 7838, 294, 2969, 12088, 267, 543, 24315, 4696, 30990, 454, 2080, 616, 6402, 547, 1250, 1427, 32478, 540, 667, 14397, 779, 5606, 1716, 334, 267, 623, 4026, 2218, 543, 21537, 1047, 563, 2562, 29052, 17472, 281, 27114, 15674, 476, 272, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 273, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 274, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 275, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 276, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 277, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 278, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 279, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 280, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 1015, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 1556, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 1321, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 1724, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 1691, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 1428, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 1626, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 1704, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 1240, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 866, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 736, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 2641, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 2420, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 2537, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 2190, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 1839, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 2918, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 2767, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 2764, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 3066, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 1789, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 4029, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 3953, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 3451, 454, 2562, 29052, 17472, 281, 27114, 15674, 476, 4097, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 272, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 273, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 274, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 275, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 276, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 277, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 278, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 279, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 280, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 1015, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 1556, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 1321, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 1724, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 1691, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 1428, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 1626, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 1704, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 1240, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 866, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 736, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 2641, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 2420, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 2537, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 2190, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 1839, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 2918, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 2767, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 2764, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 3066, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 1789, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 4029, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 3953, 681, 4953, 21822, 5058, 454, 303, 7838, 294, 2969, 12088, 281, 27114, 15674, 476, 3451, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 272, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 273, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 274, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 275, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 276, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 277, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 278, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 279, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 280, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 1015, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 1556, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 1321, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 1724, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 1691, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 1428, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 1626, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 1704, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 1240, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 866, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 736, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 2641, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 2420, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 2537, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 2190, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 1839, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 2918, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 2767, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 2764, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 3066, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 1789, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 4029, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 3953, 681, 4953, 21822, 5058, 454, 303, 2752, 4696, 30990, 281, 27114, 15674, 476, 3451, 681, 4953, 21822, 5058, 454, 303, 532, 3724, 281, 667, 14397, 779, 24315, 4696, 30990, 267, 22616, 334, 476, 1691, 281, 5990, 20219, 11586, 5357, 2975, 595, 4629, 7704, 1923, 30602, 321, 16078, 24108, 1948, 274, 454, 303, 532, 3724, 281, 667, 14397, 779, 24315, 4696, 30990, 267, 22616, 334, 476, 1691, 281, 667, 5085, 26996, 4811, 5442, 24315, 4696, 30990, 1923, 30602, 321, 16078, 24108, 1948, 273, 454, 303, 532, 3724, 281, 667, 14397, 779, 24315, 4696, 30990, 267, 22616, 334, 476, 1691, 281, 1642, 2074, 538, 27032, 1923, 30602, 321, 16078, 24108, 1948, 274, 454, 303, 532, 3724, 281, 667, 14397, 779, 24315, 4696, 30990, 267, 22616, 334, 476, 1691, 281, 681, 4696, 296, 19611, 14408, 309, 3633, 590, 5495, 11862, 1923, 30602, 321, 16078, 24108, 1948, 274, 454, 303, 532, 3724, 281, 667, 14397, 779, 24315, 4696, 30990, 267, 22616, 334, 476, 1691, 281, 14408, 309, 3633, 590, 5495, 11862, 11555, 7419, 3951, 3633, 23166, 645, 7495, 22494, 1923, 30602, 321, 16078, 24108, 1948, 274, 454, 303, 532, 3724, 281, 667, 14397, 7300, 338, 543, 25103, 1923, 30602, 321, 16078, 24108, 1948, 274, 454, 3725, 24108, 3022, 713, 593, 12603, 7108, 2940, 14924, 577, 10762, 563, 303, 532, 3724, 281, 6424, 23745, 281, 667, 14397, 779, 24315, 4696, 30990, 281, 589, 17564, 6651, 2443, 968, 290, 27053, 476, 1015, 281, 6129, 2443, 12142, 7338, 13985, 21590, 892, 1923, 30602, 321, 16078, 24108, 1948, 274, 454, 303, 532, 3724, 281, 6424, 23745, 281, 667, 14397, 779, 24315, 4696, 30990, 281, 589, 17564, 6651, 2443, 968, 290, 27053, 476, 1556, 281, 6129, 2443, 12142, 7338, 13985, 21590, 16217, 2478, 12142, 14731, 540, 2667, 27599, 892, 1923, 30602, 321, 16078, 24108, 1948, 274, 454, 303, 532, 3724, 281, 6424, 23745, 281, 667, 14397, 779, 24315, 4696, 30990, 281, 589, 17564, 6651, 2443, 968, 290, 27053, 476, 1321, 281, 6129, 2443, 12142, 12844, 822, 550, 675, 16217, 2478, 12142, 18067, 545, 892, 1923, 30602, 321, 16078, 24108, 1948, 274, 454, 303, 532, 3724, 281, 6424, 23745, 281, 667, 14397, 779, 24315, 4696, 30990, 281, 589, 17564, 6651, 2443, 968, 290, 27053, 476, 1724, 281, 6129, 2443, 12142, 7338, 13985, 21590, 9181, 525, 21125, 892, 543, 968, 290, 27053, 476, 1691, 281, 6129, 2443, 21125, 282, 9370, 2443, 13507, 545, 9061, 892, 1923, 30602, 321, 16078, 24108, 1948, 274, 454, 303, 532, 3724, 281, 6424, 23745, 281, 667, 14397, 779, 24315, 4696, 30990, 281, 589, 17564, 6651, 2443, 968, 290, 27053, 476, 1428, 281, 9370, 2443, 595, 18153, 16331, 5866, 892, 1923, 30602, 321, 16078, 24108, 1948, 274, 454, 303, 532, 3724, 281, 6424, 23745, 281, 667, 14397, 779, 24315, 4696, 30990, 281, 589, 17564, 6651, 2443, 968, 290, 27053, 476, 3451, 281, 3733, 10973, 5927, 344, 516, 534, 2443, 12142, 24527, 533, 7590, 547, 6307, 282, 634, 27076, 543, 2441, 779, 32680, 7186, 892, 1923, 30602, 321, 16078, 24108, 1948, 274, 454, 303, 532, 3724, 281, 7046, 5336, 545, 13957, 693, 11882, 2160, 779, 22823, 4741, 2443, 476, 1839, 4728, 476, 1708, 273, 1923, 30602, 321, 16078, 24108, 1948, 274, 454, 303, 532, 3724, 281, 6424, 23745, 281, 667, 14397, 779, 5442, 29052, 17472, 281, 589, 17564, 6651, 2443, 968, 290, 27053, 476, 1240, 281, 17455, 18996, 543, 590, 14445, 619, 282, 4469, 3430, 18996, 892, 1923, 30602, 321, 16078, 24108, 1948, 274, 454, 303, 532, 3724, 281, 6424, 23745, 281, 667, 14397, 779, 5442, 29052, 17472, 281, 589, 17564, 6651, 2443, 968, 290, 27053, 476, 3451, 281, 24729, 727, 320, 630, 308, 326, 565, 3626, 543, 681, 10212, 1512, 328, 264, 892, 1923, 30602, 321, 16078, 24108, 1948, 274, 454, 303, 532, 3724, 281, 6424, 23745, 281, 667, 14397, 779, 623, 7838, 294, 2969, 12088, 281, 589, 17564, 6651, 2443, 968, 290, 27053, 476, 2918, 281, 1530, 22770, 700, 8354, 2443, 700, 755, 630, 10817, 18480, 2871, 514, 714, 22088, 543, 23172, 2246, 12253, 264, 892, 1923, 30602, 321, 16078, 24108, 1948, 274, 454, 303, 532, 3724, 281, 667, 14397, 779, 623, 7838, 294, 2969, 12088, 267, 22616, 334, 476, 275, 281, 5617, 659, 638, 320, 1923, 30602, 321, 16078, 24108, 1948, 274, 454, 303, 532, 3724, 281, 667, 14397, 779, 24315, 4696, 30990, 267, 22616, 334, 476, 3451, 281, 12971, 645, 3036, 3633, 6865, 1923, 30602, 321, 16078, 24108, 1948, 274, 454, 303, 532, 3724, 281, 6424, 23745, 281, 667, 14397, 779, 5442, 29052, 17472, 281, 589, 17564, 6651, 2443, 968, 290, 27053, 476, 1724, 281, 634, 2672, 15969, 892, 1923, 30602, 321, 16078, 24108, 1948, 274, 454, 303, 532, 3724, 281, 6424, 23745, 281, 20895, 540, 667 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 689, 1753, 269, 634, 1655, 14342, 585, 28652, 11401, 267, 5049, 267, 543, 3381, 19014, 786, 723, 513, 1283, 27677, 577, 4395, 1922, 5217, 8254, 269, 1358, 786, 723, 513, 7524, 4159, 547, 2070, 519, 3381, 5870, 543, 561, 10796, 701, 5474, 547, 5873, 5693, 563, 6624, 14342, 666, 6023, 3381, 7125, 609, 2370, 547, 1100, 2042, 950, 596, 723, 513, 1434, 24459, 328, 5365, 269, 1358, 1118, 873, 5140, 585, 24680, 7125, 267, 2228, 5049, 267, 543, 19014, 563, 8253, 1175, 1627, 20345, 267, 855, 519, 3003, 1158, 267, 814, 1044, 12936, 676, 519, 6855, 269, 12140, 267, 13646, 267, 12621, 267, 543, 824, 2866, 3292, 723, 782, 1044, 7142, 547, 2673, 269, 2060, 519, 5351, 540, 3875, 2228, 2823, 1023, 543, 3156, 267, 971, 607, 28652, 267, 30581, 267, 5616, 20821, 267, 670, 836, 719, 267, 543, 1082, 1866, 267, 519, 3003, 1158, 17146, 547, 513, 5691, 1604, 563, 16521, 634, 7454, 7305, 339, 585, 28652, 20821, 902, 543, 26643, 454, 2005, 666, 581, 4101, 547, 3442, 519, 1655, 16979, 585, 28652, 11401, 269, 6787, 596, 1616, 547, 4444, 6325, 543, 1942, 13716, 643, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29919, 6519, 4580, 29393, 257, 607, 851, 540, 834, 4306, 11070, 312, 15978, 1315, 12333, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3408, 540, 595, 3212, 344, 1774, 853, 3558, 256, 5192, 4712, 547, 4685, 883, 519, 4241, 1158, 540, 29950, 1740, 543, 1451, 875, 547, 1711, 4190, 6272, 1210, 713, 2189, 4480, 269, 4634, 952, 596, 2811, 1007, 547, 13492, 543, 12348, 267, 649, 3513, 3391, 596, 998, 1142, 1900, 609, 2312, 3137, 543, 1187, 1806, 269, 1924, 10544, 707, 5172, 19273, 543, 1577, 781, 7832, 593, 713, 3860, 3460, 1927, 2439, 1262, 1432, 568, 595, 3212, 344, 1774, 853, 3558, 15140, 303, 5674, 1774, 19173, 568, 513, 2442, 581, 8172, 4480, 1031, 547, 1711, 10875, 12166, 3270, 543, 5546, 269, 1703, 616, 1079, 3119, 2010, 540, 890, 344, 1774, 19173, 281, 6366, 543, 9764, 269, 1280, 1631, 267, 649, 786, 1445, 593, 519, 595, 3212, 344, 1774, 853, 3558, 267, 799, 5932, 513, 6659, 1374, 23401, 519, 4484, 1412, 290, 8339, 901, 11684, 1505, 2636, 6159, 1123, 338, 899, 596, 547, 1039, 10155, 547, 707, 960, 543, 1106, 6946, 18305, 780, 5331, 2348, 513, 9589, 4216, 4904, 609, 10477, 4837, 19273, 269, 2060, 595, 3212, 344, 1774, 853, 3558, 267, 596, 666, 6582, 873, 538, 971, 513, 1259, 602, 789, 1796, 7381, 899, 513, 20538, 17001, 1765, 531, 2865, 899, 2679, 1945, 4062, 676, 4062, 2439, 1262, 21093, 29035, 609, 595, 3212, 344, 1774, 853, 3558, 4373, 6524, 11362, 883, 519, 4890, 19173, 532, 1184, 267, 1934, 616, 930, 1898, 2645, 543, 2326, 596, 1522, 991, 1384, 265, 23268, 19273, 630, 21653, 476, 279, 4113, 610, 476, 1556, 4113, 1568, 1134, 585, 14987, 994, 265, 645, 1737, 532, 13549, 454, 265, 27387, 610, 8465, 581, 8172, 5911, 454, 265, 2480, 19538, 454, 265, 589, 29950, 4604, 610, 14589, 1957, 547, 1832, 707, 9343, 6896, 692, 3086, 602, 596, 723, 10356, 782, 2556, 7727, 1577, 721, 1174, 519, 2596, 2497, 540, 519, 595, 3212, 344, 1774, 853, 3558, 269, 3962, 4737, 5161, 540, 20367, 834, 1575, 257, 543, 834, 6658, 257, 19273, 267, 2870, 513, 1990, 580, 345, 698, 4806, 2066, 519, 5748, 4737, 269, 4495, 596, 4487, 8220, 519, 9343, 267, 8108, 519, 15040, 1412, 290, 262, 3337, 3587, 2653, 780, 2080, 568, 513, 2241, 1383, 547, 948, 14650, 519, 3268, 3238, 1384, 272, 269, 8073, 513, 5748, 4737, 1210, 1022, 1256, 1297, 540, 19273, 269, 9255, 873, 2427, 676, 2427, 593, 707, 8142, 610, 581, 8172, 5911, 267, 1287, 1780, 519, 13549, 1394, 998, 519, 1101, 29950, 547, 1106, 513, 8520, 563, 273, 269, 18786, 693, 519, 2034, 29950, 689, 2901, 1439, 267, 4584, 909, 835, 3606, 29950, 9497, 1575, 257, 29950, 1070, 1236, 6235, 835, 29950, 2059, 519, 5748, 4737, 1354, 3001, 5196, 519, 1985, 834, 6658, 257, 29950, 269, 19244, 713, 1184, 2394, 596, 3914, 519, 6587, 1439, 540, 519, 5748, 4737, 563, 274, 269, 4045, 519, 2063, 834, 1575, 257, 29950, 609, 519, 1101, 834, 1575, 257, 29950, 540, 519, 1482, 4737, 676, 8429, 519, 13549, 896, 1312, 19273, 543, 17444, 9395, 269, 5556, 17894, 256, 1411, 4312, 6192, 18007, 476, 272, 563, 275, 269, 1677, 2253, 18007, 476, 273, 267, 10956, 5153, 476, 273, 676, 4946, 606, 834, 1575, 257, 29950, 1063, 1169, 6292, 540, 11105, 834, 6658, 257, 19273, 269, 3973, 1921, 519, 3803, 834, 1575, 257, 29950, 547, 922, 7222, 7649, 593, 519, 3105, 4737, 607, 2944, 4505, 269, 5901, 18110, 891, 3268, 585, 3773, 9343, 563, 276, 269, 1306, 596, 3356, 267, 5469, 875, 519, 9343, 7930, 7455, 267, 5555, 8108, 519, 8984, 1412, 290, 262, 3337, 269, 15331, 609, 1114, 4778, 543, 3270, 547, 3142, 707, 5137, 547, 1272, 2439, 8855, 267, 2259, 2306, 3501, 269, 5213, 1405, 5855, 952, 707, 3355, 8942, 1810, 1405, 2490, 856, 4010, 607, 9709, 1107, 1169, 7376, 6238, 12341, 256, 1403, 596, 1265, 3054, 10010, 609, 3750, 8833, 1247, 2324, 593, 1507, 3877, 267, 2015, 1210, 513, 3946, 6954, 3172, 8595, 17689, 610, 2147, 1907, 547, 2087, 15287, 780, 4415, 11428, 543, 15131, 267, 4166, 2614, 267, 596, 1932, 786, 1831, 9952, 693, 13167, 17715, 595, 3212, 344, 1774, 853, 17097, 6272, 269, 8414, 581, 8172, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7069, 16474, 6026, 803, 547, 3444, 19173, 950, 594, 729, 1472, 476, 1015, 1296, 2025, 269, 898, 729, 1200, 1292, 15908, 630, 321, 8842, 2542, 264, 543, 594, 2141, 25343, 519, 4773, 1352, 2813, 269, 2701, 1131, 798, 891, 14969, 267, 3006, 24120, 21092, 267, 4773, 2407, 540, 15437, 269, 898, 729, 1100, 9983, 950, 594, 4941, 547, 1491, 621, 909, 267, 855, 621, 7140, 856, 602, 594, 798, 711, 723, 1200, 9639, 610, 16177, 950, 621, 2501, 547, 713, 15908, 269, 594, 1131, 1205, 19252, 3362, 267, 1616, 547, 1376, 1007, 3785, 7683, 267, 543, 594, 4076, 2760, 6192, 4376, 1804, 269, 3767, 602, 594, 6557, 4587, 621, 779, 513, 3787, 4443, 267, 855, 1317, 540, 519, 1297, 540, 12348, 594, 723, 267, 3444, 19173, 568, 4440, 835, 540, 519, 811, 20495, 3283, 269, 23883, 2094, 1250, 32416, 814, 1044, 2469, 269, 594, 4076, 1044, 3206, 827, 10115, 538, 835, 540, 1346, 3172, 4328, 14296, 602, 596, 666, 28728, 547, 519, 4172, 577, 267, 865, 602, 594, 666, 1294, 1250, 25573, 5693, 563, 15899, 19173, 4523, 4010, 607, 621, 4992, 269, 1411, 19173, 6263, 2370, 2473, 779, 936, 543, 936, 269, 6884, 602, 779, 6404, 538, 609, 824, 2010, 540, 25573, 630, 3724, 19173, 532, 585, 24152, 267, 3368, 25573, 1175, 585, 513, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 3212, 344, 1774, 853, 3558, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 645, 1737, 1740, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 634, 12472, 540, 1290, 545, 7734, 910, 3245, 1715, 4944, 1653, 22367, 1186, 547, 3203, 4813, 692, 5970, 596, 2479, 1224, 513, 13371, 1433, 286, 9320, 596, 4312, 1166, 5792, 998, 519, 3817, 540, 707, 5172, 15705, 1650, 267, 8098, 3931, 519, 10477, 12383, 543, 1739, 2059, 609, 519, 2962, 1790, 17977, 9035, 269, 1809, 1705, 596, 917, 602, 13371, 2835, 723, 8854, 998, 1082, 2242, 2429, 1686, 1354, 4742, 1018, 789, 616, 2221, 286, 2913, 781, 4685, 883, 713, 4241, 3460, 2439, 4467, 545, 17446, 1101, 7902, 538, 14786, 1472, 519, 3735, 476, 5197, 271, 338, 269, 1452, 11609, 2984, 2968, 1360, 2442, 1851, 3988, 1317, 789, 5916, 5961, 543, 1913, 547, 2995, 8941, 2407, 540, 9644, 267, 12416, 267, 543, 10761, 269, 4438, 713, 942, 267, 5159, 1131, 1711, 891, 13371, 17446, 676, 1688, 267, 5402, 5373, 1142, 8470, 543, 4946, 5188, 18616, 585, 3197, 547, 3717, 269, 1717, 267, 936, 942, 267, 14786, 3459, 4227, 519, 2230, 21248, 585, 13371, 17446, 1813, 547, 1585, 4128, 899, 1942, 10148, 543, 13346, 5467, 7375, 269, 901, 1689, 7142, 13371, 14816, 15888, 547, 3082, 741, 11247, 547, 3514, 4130, 5624, 1247, 1869, 23187, 8903, 6386, 780, 19602, 267, 1776, 1826, 540, 13371, 7153, 1282, 519, 476, 4350, 271, 338, 1107, 519, 13371, 1433, 256, 21231, 267, 13371, 2835, 12286, 1065, 29251, 540, 2442, 11356, 13371, 17446, 855, 4166, 3323, 2870, 3312, 2984, 10023, 1007, 3197, 269, 2290, 971, 1915, 729, 8111, 2006, 267, 945, 1500, 1010, 26813, 538, 11059, 22383, 1948, 272, 538, 476, 4350, 279, 269, 1261, 21490, 519, 1259, 585, 824, 11599, 12325, 649, 917, 2221, 267, 899, 15506, 2006, 267, 24090, 19716, 267, 18279, 3013, 267, 543, 30064, 5336, 534, 780, 4913, 267, 1175, 607, 1919, 8604, 547, 581, 2469, 1134, 585, 13371, 2835, 267, 8373, 13351, 269, 2991, 2622, 2782, 4083, 267, 1004, 3323, 20468, 827, 519, 1764, 10795, 14676, 1522, 723, 593, 1453, 269, 1306, 513, 1267, 267, 6837, 4371, 14130, 1016, 1260, 2466, 6590, 5873, 902, 267, 799, 3366, 547, 7453, 24890, 3652, 3964, 676, 519, 22383, 8943, 16958, 269, 27065, 1369, 519, 13371, 26247, 1158, 11124, 7494, 896, 891, 9993, 267, 12145, 1018, 5159, 1223, 2769, 538, 741, 960, 780, 8601, 891, 2591, 267, 972, 729, 849, 5647, 8345, 1369, 519, 2872, 269, 15907, 519, 1482, 942, 607, 891, 2152, 11200, 539, 267, 7376, 20858, 700, 747, 1084, 7322, 2968, 5461, 538, 1210, 13371, 8440, 607, 6667, 585, 1010, 1402, 1148, 10367, 269, 3571, 1568, 4547, 3007, 547, 519, 7499, 20519, 540, 14676, 693, 513, 4090, 950, 621, 729, 1034, 2877, 269, 2311, 519, 1482, 942, 267, 21101, 899, 9823, 543, 31733, 3459, 26016, 1944, 519, 15705, 9135, 609, 4195, 3217, 593, 5929, 3197, 543, 14262, 9423, 2553, 780, 3080, 8037, 1383, 2501, 689, 31733, 22383, 267, 799, 5189, 513, 2189, 6335, 547, 519, 15705, 4542, 269, 9521, 3105, 23200, 1141, 12325, 941, 3501, 1909, 3631, 267, 31733, 781, 3197, 1419, 17388, 609, 1483, 3734, 2042, 971, 607, 1582, 1673, 12874, 339, 267, 1920, 2152, 267, 543, 2883, 7965, 269, 1635, 4758, 11541, 7907, 547, 3677, 31032, 3734, 5515, 267, 31733, 5280, 1480, 1125, 873, 267, 3850, 3988, 547, 1921, 14156, 609, 891, 9735, 7919, 780, 5804, 18803, 20297, 538, 11356, 17446, 547, 9687, 883, 3860, 7215, 17947, 676, 1312, 1164, 321, 992, 1148, 10580, 543, 11235, 11655, 5001, 267, 13371, 2835, 3136, 547, 25407, 9458, 540, 782, 6502, 269, 3414, 6043, 543, 9542, 267, 13371, 2835, 829, 572, 30099, 1996, 14488, 267, 5555, 15980, 6284, 607, 513, 16048, 1106, 540, 3308, 9423, 17709, 540, 2463, 543, 7071, 780, 12244, 281, 5071, 2659, 13574, 22387, 4211, 5669, 692, 3086, 602, 596, 1174, 519, 4720, 540, 13371, 2835, 267, 2119, 8888, 707, 1378, 9910, 10687, 545, 256, 6056, 827, 1018, 2186, 540, 1650, 596, 1616, 547, 2995, 543, 2015, 6220, 2609, 5941, 538, 713, 3184, 269, 8571, 2185, 4009, 8440, 593, 513, 4062, 540, 1957, 543, 6445, 873, 609, 707, 9661, 269, 5457, 547, 946, 4633, 18616, 585, 19929, 543, 4603, 609, 1114, 2081, 547, 6655, 4664, 998, 11132, 7215, 543, 1560, 1893, 269, 4495, 8737, 267, 2671, 707, 5137, 609, 2828, 543, 1920, 2818, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 1250, 2063, 2022, 594, 13713, 13890, 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 ]
[ 0, 3848, 476, 1626, 281, 27986, 2659, 14313, 910, 570, 2784, 655, 10225, 543, 645, 2117, 3941, 692, 5331, 713, 9183, 281, 1411, 4312, 1175, 2813, 519, 1034, 5863, 4604, 3014, 2479, 256, 1411, 6170, 3275, 8888, 621, 267, 7206, 782, 519, 4773, 267, 543, 2870, 3652, 865, 1454, 1187, 602, 3025, 945, 4249, 6499, 547, 1404, 1586, 269, 7053, 267, 596, 6430, 547, 6133, 707, 4604, 3014, 693, 519, 2199, 4739, 4023, 269, 2353, 707, 2182, 960, 17188, 1055, 282, 1004, 2648, 707, 3014, 267, 543, 789, 1616, 811, 256, 1924, 267, 596, 1376, 1818, 4566, 547, 5478, 543, 15814, 707, 3014, 18487, 269, 1809, 1287, 267, 1945, 15265, 4523, 1107, 1776, 2754, 6238, 9513, 513, 1360, 2147, 3014, 1210, 707, 2012, 543, 20446, 256, 1548, 666, 596, 798, 286, 901, 568, 1141, 30931, 2097, 883, 1404, 780, 288, 22028, 568, 899, 513, 2027, 6003, 610, 3090, 602, 14439, 513, 1808, 1587, 610, 3028, 607, 10362, 547, 513, 1880, 1268, 610, 3919, 269, 6056, 827, 4583, 12478, 899, 715, 833, 781, 834, 9617, 1684, 898, 257, 1793, 25830, 610, 595, 10087, 2051, 320, 781, 11599, 11480, 3337, 269, 1452, 616, 6870, 896, 22028, 4031, 1317, 789, 948, 6800, 3362, 5431, 2472, 1500, 676, 1346, 3549, 269, 1635, 11578, 532, 513, 22028, 267, 596, 1205, 3656, 2924, 547, 2061, 1866, 689, 1210, 513, 1476, 639, 5944, 2147, 1665, 585, 741, 1378, 5370, 610, 2533, 780, 3086, 1577, 781, 2263, 875, 547, 5150, 513, 22028, 1900, 676, 1900, 1384, 3721, 476, 272, 281, 18430, 513, 3406, 585, 4540, 30931, 454, 6524, 7311, 585, 513, 22028, 267, 1101, 2638, 952, 972, 616, 2907, 2147, 3283, 538, 946, 269, 6733, 998, 1312, 10805, 30931, 543, 533, 2056, 7373, 5928, 269, 1280, 1383, 267, 952, 707, 4604, 3014, 568, 1572, 834, 31416, 344, 2372, 652, 2437, 1413, 909, 824, 3756, 610, 9162, 3957, 13974, 269, 1403, 2576, 814, 2907, 10645, 834, 31416, 344, 2372, 652, 2437, 596, 1522, 723, 547, 1589, 540, 513, 1007, 2012, 547, 2057, 10539, 780, 3721, 476, 273, 281, 10576, 799, 7121, 707, 1587, 12851, 547, 454, 9202, 267, 3313, 1018, 1826, 540, 1587, 707, 5137, 8813, 896, 1759, 593, 519, 4139, 19032, 540, 6153, 338, 543, 7896, 1062, 269, 8274, 3756, 1131, 3335, 2887, 896, 1362, 476, 2764, 267, 2059, 609, 9162, 543, 23242, 3937, 269, 18833, 707, 8760, 2337, 2327, 602, 707, 22028, 3085, 1405, 26418, 2390, 4896, 3116, 781, 780, 3721, 476, 274, 281, 14470, 707, 1374, 952, 2556, 454, 15919, 267, 1310, 15388, 4540, 30931, 267, 596, 949, 1265, 602, 930, 11941, 616, 2877, 269, 9320, 707, 3312, 2856, 6743, 1932, 2147, 547, 1776, 2754, 781, 20446, 267, 610, 5310, 4657, 835, 2262, 2306, 621, 1447, 14845, 269, 15775, 3318, 5796, 1282, 713, 3942, 1223, 4688, 942, 543, 4674, 2663, 593, 780, 3721, 476, 275, 281, 15233, 585, 3486, 6284, 454, 5629, 3388, 5654, 1434, 267, 10505, 707, 3498, 547, 3906, 3743, 585, 5883, 30931, 269, 2290, 971, 1895, 568, 519, 2622, 25827, 16296, 9257, 630, 310, 7709, 302, 1070, 1759, 538, 16848, 269, 1358, 6023, 5215, 540, 13668, 1169, 1032, 689, 4213, 5275, 2518, 4027, 585, 741, 7214, 3959, 780, 3383, 1631, 596, 917, 875, 1271, 30931, 616, 538, 17420, 3860, 1568, 269, 3807, 4952, 2348, 5249, 24091, 593, 707, 1788, 1152, 547, 3605, 602, 2576, 3116, 3576, 5491, 585, 621, 256, 16792, 585, 513, 22028, 5849, 602, 4465, 1405, 4755, 1247, 849, 4758, 5561, 6015, 950, 7446, 1063, 1114, 3681, 2139, 538, 8637, 269, 5457, 938, 3659, 11020, 344, 2372, 652, 286, 2060, 1697, 22028, 4027, 267, 922, 17082, 666, 1964, 21407, 6616, 1100, 835, 3116, 666, 3409, 9562, 936, 741, 19782, 1190, 3014, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 2784, 655, 10225, 543, 645, 2117, 3941, 454, 8802, 626, 1674, 540, 30931, 568, 606, 2500, 4027, 540, 707, 2754, 1996, 15490, 6735, 269, 21362, 1229, 22028, 786, 5693, 2697, 585, 519, 7082, 540, 707, 1587, 610, 3028, 1851, 519, 13999, 540, 1866, 269, 898, 568, 513, 22028, 602, 3947, 596, 519, 4316, 547, 16155, 9718, 707, 4690, 563, 26156, 5742, 6828, 12857, 606, 2189, 1935, 547, 11578, 22028, 538, 519, 6739, 2344, 609, 513, 5488, 543, 16866, 14261, 1184, 5645, 856, 676, 519, 2212, 5604, 4092, 538, 5125, 563, 1805, 1137, 540, 14261, 912, 268, 9612, 12240, 540, 10805, 30931, 585, 1022, 9838, 610, 2147, 7436, 593, 519, 19193, 1369, 476, 275, 268, 276, 1870, 2395, 267, 607, 1134, 607, 593, 519, 4493, 540, 3156, 19429, 585, 14261, 454, 268, 4147, 1518, 707, 2238, 2687, 547, 519, 4139, 19032, 540, 6153, 338, 543, 7896, 454, 268, 13693, 566, 1058, 519, 991, 8451, 538, 519, 3803, 1436, 540, 519, 1665, 454, 268, 4427, 2466, 1154, 606, 3498, 547, 519, 2622, 25827, 16296, 9257, 630, 18933, 15909, 994, 268, 4427, 2466, 1154, 606, 1972, 26559, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1691, 281, 1548, 19732, 839, 1879, 1284, 12603, 286, 4197, 7756, 27801, 338, 827, 519, 2991, 5158, 692, 5970, 596, 2479, 2219, 827, 1018, 4523, 950, 649, 5884, 286, 898, 781, 513, 2462, 2243, 602, 814, 7138, 1194, 3425, 585, 5215, 540, 1296, 256, 3509, 1004, 1472, 519, 1158, 3494, 538, 1945, 1572, 606, 834, 12898, 5158, 2437, 799, 1797, 789, 1589, 602, 938, 20339, 610, 14326, 3136, 547, 2291, 538, 930, 1259, 1310, 938, 4703, 3247, 2324, 780, 3080, 3661, 827, 519, 1310, 5158, 2501, 689, 8567, 267, 1141, 1082, 13794, 3494, 538, 2469, 547, 13140, 610, 22946, 1310, 789, 5884, 269, 24656, 568, 1419, 4330, 607, 513, 4190, 1747, 1141, 1004, 616, 6126, 543, 1863, 689, 1928, 267, 1247, 22946, 568, 2938, 607, 513, 4158, 543, 17559, 1747, 1141, 1004, 7985, 780, 3719, 1946, 798, 10271, 3494, 538, 606, 1310, 5158, 693, 782, 286, 4270, 267, 851, 540, 519, 2626, 1522, 723, 547, 798, 609, 875, 1004, 616, 6659, 543, 6026, 827, 741, 5132, 269, 1280, 1383, 267, 4952, 952, 2576, 8057, 909, 6217, 2984, 827, 513, 15962, 2696, 945, 14767, 547, 1491, 1416, 540, 721, 1256, 1310, 649, 5884, 269, 3683, 942, 267, 1346, 2093, 1223, 1831, 7184, 3824, 11712, 538, 875, 789, 1294, 519, 1158, 780, 4913, 267, 1175, 1317, 1082, 10271, 3494, 538, 606, 1310, 5158, 3085, 1405, 1611, 602, 3025, 1281, 269, 2368, 1004, 1522, 4898, 2436, 513, 3532, 1373, 899, 2696, 1131, 2731, 1616, 610, 991, 547, 1832, 3950, 540, 1169, 2582, 1268, 11014, 269, 9320, 3079, 540, 20468, 827, 1018, 4523, 1310, 649, 5884, 267, 649, 1058, 1445, 593, 3843, 547, 2661, 1434, 2729, 1318, 1631, 780, 1103, 1249, 267, 952, 649, 4769, 1405, 3494, 538, 606, 1310, 5158, 267, 938, 3909, 2853, 1522, 1376, 547, 1689, 269, 5502, 540, 1175, 32467, 585, 513, 1732, 2104, 1272, 267, 649, 1522, 6108, 811, 942, 6998, 585, 948, 543, 5583, 538, 938, 3232, 2729, 269, 1656, 3079, 540, 6031, 1919, 899, 834, 3891, 781, 538, 513, 1732, 1747, 257, 950, 2576, 10523, 267, 649, 1522, 3442, 547, 3314, 543, 8661, 519, 1434, 2053, 649, 3838, 1927, 1934, 593, 3047, 780, 8170, 1576, 267, 9039, 540, 721, 6487, 585, 2386, 1018, 786, 4755, 950, 649, 5884, 269, 2334, 781, 1946, 621, 781, 1271, 547, 2463, 824, 9082, 262, 4978, 543, 6432, 5402, 547, 741, 4555, 543, 4606, 269, 5808, 6487, 1107, 6148, 676, 6158, 16175, 827, 938, 3604, 267, 649, 666, 1451, 1945, 1007, 543, 15052, 938, 1620, 540, 1142, 824, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 263, 11260, 272, 264, 2991, 5158, 1131, 711, 581, 540, 1719, 547, 513, 5601, 454, 7197, 10271, 3112, 32230, 540, 513, 4984, 602, 1281, 711, 2709, 519, 4960, 585, 13844, 513, 2034, 1272, 3564, 713, 835, 269, 1656, 267, 1256, 2417, 267, 789, 666, 1406, 32230, 540, 606, 1310, 5158, 602, 568, 4376, 2110, 540, 18163, 269, 901, 568, 1317, 789, 723, 1044, 31411, 547, 8263, 891, 2048, 30440, 10200, 1809, 267, 538, 4641, 267, 621, 568, 2653, 547, 1174, 602, 513, 1483, 5601, 267, 952, 835, 6818, 267, 1131, 723, 1100, 991, 610, 8404, 547, 759, 584, 5550, 17542, 540, 1004, 543, 2226, 873, 585, 552, 1181, 640, 563, 288, 8567, 1510, 519, 9153, 540, 606, 1310, 5158, 1131, 1413, 1360, 1114, 689, 922, 1699, 4528, 269, 898, 1131, 6157, 1747, 1454, 811, 8561, 593, 19001, 543, 13844, 10143, 5351, 585, 2713, 538, 713, 1158, 269, 1703, 1131, 581, 1100, 811, 2048, 515, 779, 538, 513, 1732, 1747, 685, 844, 2354, 563, 10214, 952, 513, 17082, 1185, 519, 2702, 547, 6895, 519, 2729, 540, 1169, 1480, 267, 972, 568, 1100, 2601, 585, 1864, 547, 1294, 547, 621, 602, 789, 979, 593, 2713, 1310, 2669, 538, 930, 12012, 4641, 269, 898, 1131, 581, 2614, 547, 936, 5408, 741, 13796, 3618, 344, 2729, 269, 898, 530, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 5269, 24956, 545, 1715, 4789, 1849, 600, 932, 32535, 692, 6124, 4789, 804, 600, 669, 32535, 568, 513, 2295, 344, 543, 8337, 17339, 602, 814, 1044, 10150, 538, 519, 3148, 585, 5553, 269, 901, 27598, 267, 29902, 8670, 2934, 4195, 804, 4461, 267, 12277, 267, 19637, 267, 543, 12212, 20230, 267, 782, 1138, 332, 1229, 1927, 538, 513, 3638, 26185, 269, 10435, 8076, 1715, 4789, 804, 600, 669, 32535, 3340, 6297, 3007, 547, 1469, 543, 1164, 7779, 5820, 269, 7427, 891, 3268, 547, 1711, 713, 11599, 7594, 538, 707, 1378, 10051, 780, 2162, 23123, 1384, 265, 476, 274, 18797, 1396, 339, 331, 2940, 1188, 610, 22269, 7723, 804, 4461, 630, 12671, 476, 274, 6550, 282, 4195, 610, 13792, 994, 265, 476, 275, 11680, 1216, 454, 265, 476, 279, 21100, 28019, 267, 546, 5367, 454, 265, 476, 273, 5420, 5835, 19637, 267, 22872, 630, 12671, 476, 273, 11680, 994, 265, 476, 274, 13767, 2044, 26106, 802, 267, 22872, 630, 12671, 476, 272, 7484, 994, 265, 476, 273, 13342, 804, 7174, 267, 1295, 1027, 454, 265, 476, 274, 26486, 5667, 531, 1540, 7423, 454, 265, 476, 26528, 7484, 782, 26928, 7912, 454, 265, 476, 273, 11680, 3368, 7146, 28451, 610, 5230, 8645, 454, 265, 476, 273, 15922, 3762, 454, 265, 476, 16006, 23188, 12015, 16815, 1889, 454, 265, 476, 382, 378, 11013, 962, 4157, 517, 7108, 12277, 267, 22019, 539, 543, 2759, 883, 1507, 18695, 630, 12671, 476, 273, 11680, 994, 265, 17865, 543, 14723, 267, 547, 6492, 454, 265, 8838, 1308, 21959, 8460, 281, 23690, 3122, 11523, 619, 267, 22872, 16163, 2917, 267, 13099, 27996, 267, 610, 5743, 6853, 28019, 11353, 692, 2162, 17778, 1384, 272, 269, 2878, 27662, 519, 804, 4461, 5093, 1403, 1210, 4195, 804, 4461, 267, 27125, 873, 896, 4411, 4881, 1216, 547, 4894, 1022, 5070, 610, 11935, 269, 5494, 731, 1022, 1930, 804, 4461, 602, 798, 711, 2673, 950, 512, 11474, 9900, 269, 1280, 13792, 804, 4461, 267, 1450, 873, 547, 555, 1177, 4625, 1354, 23312, 609, 519, 11600, 780, 825, 2608, 1924, 1136, 519, 804, 4461, 538, 6070, 4248, 666, 948, 2721, 856, 3606, 5070, 543, 27497, 269, 1677, 1118, 513, 1490, 710, 267, 23271, 476, 26528, 7484, 737, 657, 615, 6070, 538, 476, 273, 844, 11301, 540, 4411, 1216, 269, 5410, 804, 4461, 543, 1577, 27653, 585, 476, 1789, 3764, 547, 476, 272, 5662, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 545, 1155, 267, 608, 12000, 3130, 267, 20451, 267, 543, 5104, 868, 777, 3789, 267, 1247, 2502, 609, 3119, 2959, 899, 1325, 2581, 2142, 577, 23437, 781, 834, 291, 344, 7719, 547, 13772, 4934, 1280, 257, 543, 3223, 603, 26427, 781, 834, 263, 1320, 264, 1074, 3010, 13010, 267, 649, 786, 8495, 519, 1909, 540, 24337, 538, 5466, 2565, 2152, 6849, 4207, 2486, 267, 3226, 1346, 7282, 6214, 267, 3961, 267, 543, 2528, 269, 1215, 798, 5159, 946, 24337, 547, 4161, 17888, 19237, 543, 28596, 4901, 1851, 3988, 286, 1548, 4220, 1281, 713, 1935, 27167, 267, 1312, 16155, 543, 31719, 286, 1452, 2055, 1683, 15417, 2666, 585, 8086, 543, 7521, 2429, 519, 1770, 780, 4089, 8422, 281, 3474, 1328, 910, 7591, 995, 13067, 720, 543, 4427, 11437, 540, 2637, 516, 1230, 6761, 692, 13640, 3672, 2709, 606, 10578, 10167, 540, 5876, 543, 16472, 267, 3850, 4589, 547, 2628, 24744, 547, 11537, 27825, 1247, 8195, 533, 3183, 1187, 693, 741, 21050, 525, 543, 804, 747, 15530, 269, 10738, 519, 7706, 540, 14676, 543, 8642, 9089, 267, 1612, 3672, 32736, 267, 8151, 689, 9543, 6494, 13522, 540, 2442, 15705, 23471, 2478, 547, 1085, 987, 532, 31886, 540, 22573, 4008, 5107, 543, 11475, 780, 10743, 786, 4497, 609, 12013, 1513, 899, 3143, 16279, 21862, 21672, 781, 834, 299, 3784, 329, 6951, 2437, 513, 22488, 4630, 720, 547, 7045, 1583, 10118, 10023, 3309, 4775, 23233, 282, 543, 667, 2643, 534, 2725, 935, 529, 781, 834, 5226, 1550, 2437, 513, 19636, 4947, 6361, 21943, 9661, 602, 632, 24554, 338, 5824, 343, 11475, 269, 3958, 267, 649, 786, 2015, 519, 2591, 15054, 676, 2870, 2500, 1612, 3672, 267, 13326, 9644, 543, 27527, 1510, 27312, 883, 23769, 2044, 610, 771, 27920, 780, 4089, 9050, 281, 1975, 334, 1993, 338, 910, 700, 2795, 532, 2311, 3776, 13574, 674, 14709, 692, 5141, 846, 569, 1644, 547, 1612, 1328, 267, 24401, 1993, 338, 4125, 2921, 5432, 3197, 267, 5468, 267, 610, 3871, 543, 11319, 873, 547, 21494, 26037, 585, 635, 14037, 1198, 269, 9521, 24337, 267, 799, 1419, 11438, 513, 24146, 6316, 267, 24401, 1993, 338, 2832, 5097, 547, 7038, 2864, 982, 679, 13097, 269, 16480, 267, 1256, 9583, 21030, 6681, 24401, 1993, 338, 666, 2270, 11029, 31886, 540, 6848, 6788, 543, 2686, 10054, 780, 2171, 786, 4983, 1896, 8037, 14676, 543, 8642, 9089, 1634, 585, 741, 9048, 557, 1370, 3217, 593, 3964, 11964, 267, 971, 607, 834, 289, 821, 257, 676, 11518, 8055, 267, 513, 1769, 27329, 14810, 12473, 24188, 540, 808, 10611, 10611, 269, 570, 13083, 1329, 781, 5664, 3047, 282, 543, 834, 301, 9476, 3821, 7564, 540, 519, 9503, 540, 6489, 257, 676, 15917, 7776, 631, 12011, 1794, 13403, 267, 513, 2022, 268, 777, 32565, 521, 15676, 29689, 609, 2825, 626, 4798, 269, 1306, 1053, 2263, 891, 1568, 267, 789, 786, 2992, 593, 519, 2081, 538, 799, 9644, 3252, 607, 513, 1907, 585, 1582, 26190, 543, 26126, 780, 6962, 1384, 3528, 9284, 532, 2933, 538, 519, 3638, 13795, 540, 14676, 543, 8642, 9089, 602, 2308, 24337, 267, 1612, 1328, 267, 543, 24401, 1993, 267, 1053, 786, 10836, 689, 713, 1770, 9280, 609, 16012, 7071, 585, 519, 6988, 543, 17545, 540, 3308, 9423, 269, 5047, 267, 789, 786, 11349, 2629, 10763, 1983, 2556, 585, 10188, 2221, 781, 2923, 5251, 267, 1141, 2592, 5051, 20441, 11407, 543, 3337, 1857, 6644, 269, 11086, 267, 938, 3804, 568, 711, 1152, 547, 6536, 606, 18399, 540, 891, 10508, 2685, 18854, 1399, 5931, 855, 849, 547, 8300, 2104, 15888, 945, 6999, 547, 3565, 741, 9739, 547, 713, 7524, 543, 2479, 21608, 5420, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1432, 616, 930, 1434, 8642, 9089, 585, 476, 1556, 1032, 31545, 888, 1556, 18753, 26358, 570, 1048, 21989, 2052, 1406, 5192, 2037, 965, 2986, 454, 268, 15576, 773, 519, 19949, 7867, 269, 676, 2051, 22220, 19200, 10469, 762, 267, 11609, 676, 5153, 7315, 773, 962, 826, 563, 268, 7665, 543, 519, 11068, 30893, 2074, 563, 268, 23664, 334, 3883, 476, 278, 281, 717, 2088, 2443, 634, 21756, 5808, 645, 6593, 519, 2622, 563, 268, 476, 276, 2622, 338, 10022, 563, 268, 589, 3122, 543, 519, 6452, 1211, 531, 18903, 563, 268, 634, 14840, 12537, 25905, 563, 268, 13019, 1170, 328, 281, 4634, 2859, 24079, 540, 16700, 27815, 563, 268, 654, 9662, 540, 27201, 563, 1432, 616, 930, 1434, 8642, 9089, 585, 476, 1724, 1032, 31545, 888, 736, 540, 519, 7454, 18753, 26358, 585, 1855, 839, 454, 268, 23718, 25760, 5901, 338, 27915, 5455, 2060, 2725, 676, 25795, 14150, 23111, 13403, 543, 14986, 4424, 4406, 3266, 14114, 685, 3519, 24274, 563, 268, 13340, 619, 1299, 29513, 676, 22319, 13198, 523, 18708, 563, 268, 28423, 281, 634, 18753, 23397, 676, 700, 4768, 773, 670, 4426, 18722, 543, 14667, 2961, 2651, 563, 268, 27124, 7219, 21650, 676, 14175, 11312, 18007, 749, 543, 18321, 8210, 514, 670, 6506, 563, 268, 19850, 267, 918, 1342, 334, 676, 808, 19128, 1777, 918, 4592, 665, 345, 6390, 563, 1432, 568, 513, 8642, 3209, 585, 513, 4819, 888, 20877, 545, 9089, 616, 2984, 2854, 543, 11609, 538, 519, 2511, 540, 513, 13371, 281, 966, 1204, 12383, 9192, 609, 2110, 28377, 540, 1257, 267, 1419, 4843, 538, 513, 3126, 540, 14328, 8440, 269, 634, 1650, 579, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 300, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 9045, 790, 1315, 3474, 1328, 543, 1975, 334, 1993, 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, 7170, 281, 10960, 10263, 538, 19565, 11470, 692, 7072, 912, 20756, 972, 267, 2104, 27563, 256, 5620, 596, 2479, 9289, 875, 2831, 5968, 609, 835, 1776, 286, 2107, 1946, 930, 5017, 1628, 6946, 20097, 1247, 1866, 798, 711, 286, 4270, 267, 4898, 1100, 811, 256, 901, 3184, 786, 6338, 596, 547, 519, 4241, 1158, 540, 3662, 2623, 1107, 4481, 1369, 11174, 5708, 3332, 269, 1924, 10544, 707, 5172, 1433, 10023, 3662, 3197, 267, 543, 1577, 779, 4685, 883, 741, 9058, 2729, 2439, 4089, 476, 272, 281, 9442, 7324, 12292, 454, 9617, 899, 3425, 267, 2831, 991, 547, 6655, 6835, 547, 7639, 543, 8853, 269, 1358, 946, 1585, 3029, 540, 2792, 971, 607, 4992, 630, 3697, 16385, 13465, 1070, 1560, 1893, 630, 7945, 607, 5243, 530, 698, 3101, 741, 21217, 1070, 610, 1256, 3114, 6786, 630, 3697, 17605, 6028, 32176, 668, 821, 18162, 1040, 769, 2984, 899, 968, 763, 2290, 543, 8307, 25909, 892, 676, 918, 15811, 2561, 5586, 622, 267, 649, 1294, 27580, 25022, 1210, 1129, 1893, 547, 2769, 741, 4555, 543, 4606, 269, 1635, 1620, 875, 1114, 7068, 2170, 267, 649, 2744, 5813, 883, 741, 1514, 6384, 543, 2189, 4529, 780, 4089, 476, 273, 281, 8490, 543, 715, 20535, 31346, 454, 2304, 7769, 8858, 6909, 5876, 950, 621, 2501, 547, 2679, 5321, 269, 3245, 30412, 14335, 14969, 544, 2432, 547, 729, 1186, 13167, 1957, 344, 20097, 267, 891, 3889, 4196, 1898, 5301, 971, 607, 4027, 267, 1426, 4859, 267, 543, 9960, 269, 23770, 779, 5680, 676, 661, 11065, 269, 6519, 20502, 20151, 18343, 4190, 3103, 547, 6952, 10352, 543, 1711, 2922, 5624, 269, 10289, 891, 3309, 11265, 2261, 12069, 2636, 721, 547, 5660, 2470, 779, 5647, 543, 13916, 780, 4089, 476, 274, 281, 4317, 23113, 543, 28762, 1105, 625, 454, 6624, 2831, 2661, 538, 2516, 609, 1950, 1514, 25327, 269, 1280, 3236, 267, 18896, 24502, 723, 13672, 8424, 945, 1291, 519, 1895, 267, 1247, 17707, 31459, 616, 1319, 686, 1105, 531, 7239, 3366, 676, 519, 9510, 4775, 269, 1452, 3347, 4001, 3407, 4245, 827, 9316, 267, 5718, 267, 543, 4655, 6571, 269, 7335, 827, 2725, 328, 543, 1200, 1920, 538, 27239, 4210, 2335, 779, 968, 763, 19594, 5808, 12984, 333, 1406, 1703, 2223, 649, 7747, 2147, 6384, 1851, 12217, 2713, 538, 2673, 2950, 780, 4089, 476, 275, 281, 2382, 3307, 5288, 269, 4804, 454, 5278, 5615, 616, 15859, 783, 267, 2495, 789, 2461, 17916, 543, 711, 4121, 998, 1995, 269, 6201, 1331, 9194, 3270, 540, 5017, 610, 13687, 13059, 547, 741, 4332, 2897, 547, 838, 11921, 269, 2201, 519, 824, 1688, 267, 1565, 4386, 950, 606, 1367, 4203, 2231, 1007, 1344, 610, 1983, 998, 8343, 610, 5872, 609, 922, 1604, 269, 4563, 25925, 676, 17555, 29828, 749, 14550, 713, 1523, 9985, 282, 9640, 1451, 25654, 543, 4247, 689, 1312, 741, 11299, 543, 30157, 269, 4197, 519, 3666, 1063, 15859, 543, 1565, 2488, 4030, 883, 606, 3662, 779, 12105, 1686, 543, 5042, 5759, 780, 6962, 912, 3528, 3695, 3662, 2623, 1369, 11174, 5708, 267, 649, 1020, 6568, 2509, 1875, 25993, 7919, 543, 15052, 938, 7071, 585, 9265, 269, 5457, 267, 1169, 13442, 814, 2189, 2081, 540, 14379, 267, 2679, 5321, 267, 8108, 1514, 7554, 267, 543, 10188, 1272, 269, 1306, 27503, 3744, 267, 1577, 779, 3136, 2542, 267, 11287, 267, 543, 1565, 827, 519, 7415, 1158, 1472, 721, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8334, 781, 7734, 585, 22312, 454, 21788, 700, 2969, 12239, 11555, 309, 3041, 3633, 700, 8780, 4534, 30264, 289, 476, 1015, 476, 1708, 272, 454, 8025, 3041, 4959, 744, 7838, 966, 28475, 700, 2752, 12283, 700, 8780, 5508, 21398, 10498, 306, 11123, 590, 3201, 292, 2336, 3951, 5442, 12710, 11070, 2464, 590, 2207, 22494, 267, 834, 300, 3201, 4811, 295, 8008, 681, 6865, 3198, 290, 2464, 2437, 31253, 4306, 2207, 22494, 2676, 13263, 589, 700, 5588, 5508, 744, 8025, 2207, 9358, 7582, 22723, 21398, 10498, 306, 20978, 5990, 623, 17129, 2336, 1262, 301, 11246, 661, 21815, 631, 2177, 8025, 256, 4888, 30862, 2207, 700, 10976, 5085, 312, 10323, 28421, 3582, 5508, 1269, 273, 670, 19181, 4596, 23615, 21398, 10498, 306, 256, 2878, 454, 3201, 12569, 267, 1269, 273, 547, 1269, 274, 590, 2207, 22494, 21398, 10498, 306, 2336, 306, 271, 9358, 27114, 717, 4953, 8028, 12702, 288, 19860, 3633, 23166, 589, 834, 301, 11246, 257, 590, 2207, 22494, 2336, 13263, 4534, 2142, 2386, 547, 1413, 693, 519, 5458, 1592, 540, 1269, 273, 269, 876, 1957, 3724, 2835, 256, 2878, 1262, 20330, 6124, 10643, 3773, 972, 267, 1932, 2336, 1103, 6984, 4534, 21305, 267, 4731, 1206, 7749, 267, 3126, 267, 3140, 267, 9814, 267, 5708, 267, 1175, 827, 3388, 2336, 288, 674, 11246, 623, 24359, 8379, 2562, 14473, 31087, 2752, 16775, 4534, 454, 9281, 9358, 22743, 12717, 589, 21832, 661, 5336, 288, 6579, 5084, 11403, 8577, 543, 596, 1616, 547, 581, 711, 1881, 540, 1142, 1007, 1433, 1592, 2676, 921, 848, 1577, 721, 917, 2336, 9281, 9358, 667, 2177, 31415, 717, 4953, 12971, 12087, 2464, 681, 9680, 8085, 2752, 14877, 267, 855, 1616, 547, 917, 950, 649, 1592, 1007, 2835, 267, 5225, 19478, 543, 2307, 547, 581, 3773, 547, 938, 31015, 1592, 269, 1284, 3513, 581, 20171, 1776, 1592, 1175, 607, 4166, 607, 649, 666, 267, 1317, 649, 723, 589, 700, 5588, 540, 2835, 602, 649, 1616, 547, 2709, 547, 596, 256, 1403, 596, 1810, 1405, 1616, 547, 1205, 891, 711, 1182, 950, 649, 6494, 856, 513, 1007, 15073, 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, 634, 4764, 729, 26311, 1524, 3544, 267, 855, 3330, 519, 18241, 6995, 6300, 267, 519, 5790, 729, 3636, 543, 18136, 269, 589, 1895, 540, 2828, 2893, 1472, 513, 3349, 267, 521, 6235, 741 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8961, 519, 2040, 540, 3928, 538, 519, 4487, 3830, 11729, 519, 1739, 13745, 8723, 11186, 4834, 630, 7495, 19324, 17107, 11377, 2765, 346, 3189, 3944, 546, 348, 642, 18386, 330, 2410, 3189, 3944, 546, 348, 512, 348, 815, 910, 341, 18386, 330, 1341, 674, 315, 15927, 331, 9230, 310, 341, 264, 318, 330, 1341, 554, 18386, 330, 315, 15927, 337, 1070, 1422, 15153, 737, 815, 476, 272, 267, 10371, 1421, 918, 267, 3230, 692, 3602, 1269, 298, 259, 568, 519, 2698, 1297, 540, 1016, 16647, 2827, 267, 18159, 310, 341, 9385, 318, 330, 259, 4564, 22051, 14805, 566, 936, 824, 1016, 16647, 2827, 1519, 1582, 17942, 13905, 267, 1269, 327, 18386, 330, 259, 568, 513, 9186, 2165, 8051, 585, 5007, 11378, 267, 543, 1269, 293, 7268, 10383, 7751, 568, 513, 521, 10176, 18042, 11852, 1599, 269, 1452, 744, 14701, 338, 4766, 519, 3328, 6384, 540, 519, 1062, 896, 1978, 10054, 827, 21374, 1851, 11409, 269, 1717, 267, 789, 798, 711, 1683, 5813, 883, 13260, 1369, 519, 1062, 780, 1262, 276, 269, 30433, 268, 5715, 340, 1027, 18001, 14271, 11388, 1436, 4373, 2026, 5018, 4505, 267, 32094, 640, 4249, 513, 2565, 1909, 538, 5935, 519, 28928, 3601, 540, 8849, 1949, 269, 2290, 1898, 2460, 540, 32094, 15222, 1436, 4145, 875, 26776, 14251, 2218, 3334, 5447, 741, 11775, 5103, 1373, 14350, 796, 27675, 11388, 1242, 269, 1677, 5659, 713, 7613, 28879, 267, 2015, 513, 6292, 540, 4617, 569, 13745, 14251, 2209, 4330, 676, 741, 11775, 4399, 9064, 18386, 272, 267, 1422, 9064, 18386, 273, 22174, 315, 13992, 346, 307, 348, 281, 17342, 271, 267, 273, 19570, 30879, 4256, 4720, 1073, 324, 903, 519, 32094, 11186, 3830, 630, 306, 14701, 17107, 2330, 11513, 3944, 546, 4153, 9064, 18386, 272, 17851, 1422, 18652, 18386, 272, 20867, 3189, 3944, 546, 348, 339, 1341, 667, 20867, 3189, 3944, 546, 348, 310, 18386, 272, 1341, 1422, 29166, 27432, 535, 7268, 9064, 18386, 273, 10559, 9064, 18386, 272, 9385, 267, 3189, 3944, 546, 348, 339, 267, 8607, 315, 454, 3189, 3944, 546, 4153, 9064, 18386, 273, 17851, 1422, 18652, 18386, 273, 20867, 3189, 3944, 546, 348, 339, 1341, 667, 20867, 3189, 3944, 546, 348, 310, 18386, 273, 1341, 1422, 29166, 27432, 575, 7268, 9064, 18386, 272, 10559, 9064, 18386, 273, 9385, 267, 3189, 3944, 546, 348, 339, 267, 3230, 692, 3602, 4399, 18652, 18386, 328, 259, 616, 519, 17271, 12451, 540, 519, 14251, 2209, 267, 1269, 291, 259, 3067, 5809, 519, 4222, 540, 17271, 21714, 3043, 6846, 267, 4399, 29166, 27432, 259, 3800, 23993, 4222, 267, 543, 1269, 325, 267, 326, 259, 31391, 5872, 3652, 1063, 14251, 2209, 269, 16792, 5123, 5786, 543, 19011, 1645, 2553, 547, 713, 1062, 8761, 2175, 896, 799, 15222, 1436, 4386, 1813, 547, 519, 16799, 1063, 17271, 6846, 543, 5007, 16550, 780, 1262, 277, 269, 10241, 543, 8892, 19648, 4373, 8139, 32094, 15222, 1436, 814, 3376, 6286, 585, 19286, 908, 4909, 3741, 5817, 1950, 1949, 27109, 18756, 5615, 269, 10765, 1382, 7710, 3156, 540, 2147, 2093, 538, 3309, 8658, 267, 8151, 689, 4719, 11387, 547, 8733, 2950, 543, 1379, 21870, 269, 5015, 267, 8441, 538, 3684, 1565, 6620, 6273, 676, 6211, 15222, 1436, 6127, 2709, 9621, 18817, 585, 8888, 7347, 18228, 1852, 25121, 14388, 1996, 32677, 725, 543, 14286, 269, 1306, 12985, 2200, 3136, 9750, 267, 6220, 10427, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 306, 1729, 577, 2880, 15222, 1436, 540, 27090, 5095, 609, 17271, 543, 16312, 13917, 6846, 454, 763, 4750, 540, 19556, 29249, 4320, 476, 272, 267, 9137, 1297, 281, 476, 273, 630, 1001, 272, 994, 2171, 8831, 519, 3069, 540, 6846, 14001, 5123, 15222, 1436, 547, 519, 2013, 540, 513, 8849, 4487, 3830, 10503, 519, 32094, 6384, 540, 606, 26254, 540, 4608, 537, 9482, 27090, 2551, 14251, 2209, 609, 17271, 543, 16312, 13917, 6846, 269, 634, 4487, 3830, 19862, 540, 32094, 5778, 323, 3428, 923, 4564, 519, 1533, 540, 1142, 2551, 676, 519, 1297, 540, 4867, 3742, 11409, 267, 543, 519, 1533, 13289, 616, 6074, 865, 602, 15002, 2065, 14355, 4211, 578, 534, 2557, 4834, 616, 16626, 538, 519, 1611, 1922, 1752, 3970, 269, 1284, 4019, 5123, 5786, 543, 19011, 1645, 2409, 547, 513, 7222, 700, 1052, 9109, 19406, 540, 519, 4487, 3830, 538, 1931, 547, 3313, 875, 17271, 6846, 7519, 338, 15222, 1436, 540, 519, 2551, 14251, 2209, 9141, 676, 513, 1455, 16312, 13917, 6846, 2707, 269, 1284, 9414, 938, 2079, 676, 6236, 835, 540, 519, 14724, 5121, 1634, 547, 25281, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13878, 30388, 1315, 17438, 1299, 10803, 1315, 853, 27181, 22948, 1315, 4460, 990, 932, 1622, 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, 2878, 8893, 476, 1015, 281, 4197, 15214, 8882, 3175, 4373, 5331, 6972, 883, 707, 5172, 4558, 609, 513, 13362, 3915, 538, 1688, 267, 4712, 547, 4444, 707, 5172, 17711, 3046, 269, 1809, 950, 596, 1205, 972, 267, 519, 3902, 540, 519, 17711, 3046, 814, 8854, 909, 1107, 621, 1631, 3790, 2947, 9489, 256, 1411, 1152, 723, 835, 13362, 267, 865, 596, 666, 1406, 6488, 621, 15042, 269, 2334, 1131, 581, 7168, 14922, 532, 267, 1318, 286, 3767, 4952, 952, 5777, 941, 2469, 909, 899, 602, 1169, 1554, 269, 2659, 27108, 9327, 1405, 979, 1360, 2484, 2439, 1607, 3510, 1522, 3280, 3665, 267, 855, 621, 2965, 5949, 538, 930, 2477, 2429, 1686, 269, 1879, 5777, 2333, 2731, 3728, 936, 513, 2110, 1974, 540, 942, 267, 649, 1289, 621, 5409, 8882, 3175, 269, 2913, 781, 1451, 811, 827, 1018, 3123, 5409, 8882, 3175, 543, 1946, 621, 2306, 1004, 781, 2724, 1447, 3407, 780, 1262, 1432, 15486, 15214, 8882, 3175, 15140, 5970, 596, 2479, 4862, 519, 8360, 968, 1729, 334, 1454, 2724, 31743, 1932, 1906, 5370, 9495, 901, 1797, 602, 952, 972, 616, 6266, 540, 1004, 3843, 547, 4444, 1919, 267, 855, 711, 2614, 3688, 547, 4444, 267, 1287, 5777, 786, 1376, 547, 4473, 269, 5994, 3025, 693, 12424, 10393, 4941, 547, 4444, 519, 1482, 2442, 11442, 1282, 12899, 5503, 910, 4166, 267, 8637, 4465, 1405, 581, 2111, 547, 1832, 873, 6006, 539, 1317, 789, 6133, 856, 3533, 269, 1677, 2119, 543, 2743, 3747, 267, 789, 949, 6318, 519, 5777, 780, 3086, 1577, 781, 1589, 827, 1945, 2147, 8345, 609, 2724, 538, 513, 2197, 269, 1403, 513, 2229, 6238, 8228, 1259, 1932, 1454, 2724, 782, 540, 513, 6727, 267, 1004, 1869, 723, 519, 1482, 2179, 540, 8631, 630, 16591, 338, 264, 547, 4444, 267, 855, 1631, 972, 781, 811, 2724, 13735, 1472, 269, 1306, 513, 1267, 267, 1346, 5370, 1831, 811, 7199, 2094, 1004, 666, 2628, 2362, 5777, 609, 782, 519, 3063, 6666, 789, 723, 780, 3719, 7227, 267, 1946, 1131, 6608, 1820, 1932, 1454, 2724, 286, 4270, 267, 3006, 6608, 798, 713, 547, 3382, 5458, 9276, 267, 971, 607, 9878, 1055, 22440, 610, 7616, 14427, 10617, 269, 1635, 2870, 811, 2724, 267, 789, 4126, 547, 5352, 8907, 1510, 2348, 547, 2445, 9204, 610, 10210, 2724, 689, 824, 2477, 269, 1717, 267, 713, 1419, 5012, 547, 5409, 8882, 3175, 267, 799, 28746, 4961, 543, 4213, 7567, 780, 1262, 1692, 6496, 15214, 8882, 3175, 18748, 4658, 15140, 2691, 5409, 8882, 3175, 4386, 267, 1004, 781, 9806, 6336, 1871, 6385, 269, 5457, 938, 1383, 609, 519, 17711, 3046, 4505, 286, 3683, 942, 267, 1256, 2596, 29476, 899, 3694, 267, 5144, 267, 543, 5798, 1831, 796, 3530, 27522, 269, 19198, 6560, 547, 1118, 7475, 2743, 607, 789, 4585, 741, 2182, 268, 792, 2740, 2724, 14897, 1354, 741, 4064, 780, 19968, 525, 849, 7985, 1282, 5409, 8882, 3175, 269, 1358, 3068, 2591, 8159, 4023, 5777, 585, 2472, 1813, 547, 3586, 15088, 269, 3958, 267, 1082, 5561, 1100, 3476, 3972, 519, 9304, 267, 3056, 547, 8519, 6455, 543, 1761, 1870, 5008, 999, 780, 1262, 14300, 540, 15214, 8882, 3175, 4373, 3080, 1134, 8153, 2013, 540, 5409, 8882, 3175, 3576, 1747, 538, 5125, 1310, 2622, 2782, 594, 269, 2991, 9561, 519, 2112, 267, 5125, 729, 7142, 547, 2628, 5230, 1065, 25730, 547, 519, 20466, 4229, 269, 1133, 762, 547, 4383, 891, 11999, 3790, 998, 21259, 4805, 267, 4436, 8128, 9102, 5318, 5666, 540, 2724, 267, 4611, 538, 5409, 8882, 3175, 269, 2311, 922, 8445, 267, 5777, 23060, 10199, 1169, 1079, 2395, 256, 20709, 1185, 547, 19060, 1753, 1063, 10593, 547, 6108, 741, 13848, 1354, 789, 2968, 4502, 1652, 780, 5194, 1383, 2501, 689, 25472, 538, 519, 3735, 476, 1220, 271, 338, 269, 9603, 547, 2797, 16132, 543, 2804, 25314, 534, 1771, 267, 25472, 4810, 4049, 5409, 8882, 3175, 269, 31245, 9782, 865, 13497, 602, 6300, 26283, 7948, 1405, 1689, 5777, 3533, 2614, 282, 3079, 267, 789, 5206, 1007, 3283, 593, 3109, 15236, 3544, 741, 15945, 1896, 2053, 513, 1554, 256, 16828, 267, 519, 2197, 14460, 922, 1378, 9304, 15587, 780, 1262, 6962, 4373, 7212, 4686, 267, 5409, 8882, 3175, 13514, 1713, 4220, 547, 2043, 267, 4213, 267, 543, 3003, 6082, 269, 2755, 6608, 1590, 1265, 2081, 547, 2508, 1271, 3785, 543, 2533, 267, 3257, 865, 3352, 22529, 4601, 666, 1291, 547, 29070, 4539, 269, 4804, 689, 2250, 2665, 540, 5409, 8882, 3175, 2337, 721, 1174, 519, 2956, 540, 3743, 13075, 3609, 543, 8797, 2883, 3664, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9349, 2843, 504, 3522, 9686, 4814, 13833, 9924, 13953, 2843, 504, 32648, 4736, 3522, 6459, 28821, 4709, 15671, 2843, 502, 2843, 494, 7846, 9686, 4138, 4344, 454, 15124, 9504, 6818, 20240, 3152, 269, 620, 6874, 629, 926, 1932, 7361, 607, 519, 15878, 262, 534, 543, 519, 13946, 520, 4773, 540, 645, 4157, 327, 926, 543, 7332, 269, 620, 29841, 541, 611, 25596, 1909, 607, 513, 1426, 585, 741, 3984, 269, 6145, 1022, 851, 19451, 538, 2230, 267, 1010, 1164, 2732, 814, 513, 11741, 1646, 269, 865, 646, 568, 4583, 543, 2168, 3928, 540, 30553, 563, 763, 12490, 2352, 1433, 17095, 3522, 9686, 4814, 13833, 9924, 13953, 17095, 32648, 4736, 3522, 6459, 28821, 4709, 15671, 5205, 585, 2168, 6959, 540, 922, 22278, 543, 2312, 1702, 269, 24192, 609, 32258, 945, 2648, 2686, 2729, 543, 3143, 269, 13122, 602, 1412, 332, 575, 1394, 883, 31704, 534, 30732, 2280, 267, 3069, 267, 543, 4609, 2630, 1331, 519, 20093, 1092, 540, 1840, 543, 3070, 269, 901, 568, 606, 2111, 543, 2139, 8631, 547, 19505, 585, 11033, 543, 4441, 269, 898, 4249, 3274, 4419, 539, 267, 1572, 676, 513, 2953, 3984, 540, 3043, 2178, 2173, 10056, 267, 543, 711, 2635, 563, 13233, 6468, 781, 2657, 6176, 4741, 269, 1323, 2564, 3209, 540, 519, 4607, 1439, 1223, 2760, 6423, 1044, 593, 713, 2985, 269, 7873, 821, 513, 5274, 3069, 593, 513, 521, 1426, 3210, 6609, 267, 715, 778, 657, 256, 711, 875, 1390, 2985, 1058, 596, 1118, 20468, 888, 5475, 513, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29730, 8882, 3175, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 14559, 1299, 3933, 8767, 8889, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6881, 5059, 593, 519, 968, 1723, 770, 531, 6433, 892, 538, 519, 2136, 2276, 269, 1261, 3769, 9381, 10898, 602, 2322, 1480, 1272, 543, 8134, 693, 1981, 282, 519, 27230, 543, 1480, 2188, 4929, 9381, 11761, 282, 519, 2810, 2551, 2208, 2059, 938, 5032, 338, 282, 543, 519, 476, 1220, 276, 15420, 602, 10969, 730, 519, 13323, 11076, 2829, 563, 297, 27889, 13879, 568, 513, 9972, 1382, 9381, 2173, 25978, 2520, 6048, 609, 519, 772, 2529, 269, 24959, 11752, 269, 1261, 568, 3238, 538, 2090, 540, 519, 27230, 1686, 543, 3157, 540, 9381, 267, 1609, 340, 25978, 267, 26868, 267, 543, 6418, 18626, 15808, 4525, 269, 1261, 814, 3370, 811, 982, 476, 1220, 1382, 4574, 543, 5359, 543, 814, 1044, 513, 4759, 593, 811, 982, 513, 18797, 1164, 7400, 3084, 543, 1533, 2257, 26639, 563, 16031, 269, 13879, 685, 10567, 602, 519, 4262, 1377, 786, 3136, 547, 4473, 693, 606, 18965, 10605, 267, 4929, 811, 14700, 543, 9381, 11761, 269, 1261, 11099, 602, 519, 8515, 540, 15420, 18644, 519, 2136, 2276, 538, 476, 1220, 277, 786, 581, 519, 1482, 607, 649, 4810, 538, 476, 1220, 276, 269, 0, 29557, 543, 4400, 3427, 11334, 268, 6178, 909, 707, 1053, 585, 713, 1007, 6735, 563, 15578, 715, 3198, 302, 5442, 301, 10976, 9569, 22295, 7728, 8863, 17920, 2894, 12283, 281, 2475, 5058, 570, 2562, 312, 13316, 9215, 25663, 12717, 654, 27912, 3633, 11550, 25770, 5960, 454, 20062, 2969, 11298, 594, 11298, 888, 9596, 827, 23282, 7051, 2257, 543, 4019, 602, 1702, 547, 948, 2232, 835, 540, 519, 6167, 779, 12655, 4886, 17644, 267, 1287, 1711, 513, 476, 274, 18826, 3381, 10023, 707, 2093, 563, 8138, 332, 3827, 9603, 281, 4989, 476, 272, 267, 476, 1708, 272, 454, 27645, 1590, 11578, 707, 1153, 676, 5988, 476, 1428, 267, 476, 1708, 272, 269, 2991, 11578, 532, 707, 1362, 596, 786, 4309, 3606, 1344, 269, 32310, 568, 3908, 547, 476, 1839, 3345, 10491, 12140, 563, 303, 6020, 313, 2464, 281, 30581, 786, 3094, 26065, 602, 1331, 8835, 10516, 6486, 281, 476, 272, 560, 1747, 1269, 1911, 282, 476, 273, 526, 1747, 1269, 2004, 282, 476, 274, 6113, 1747, 1269, 1839, 269, 634, 476, 272, 560, 1747, 23602, 849, 786, 723, 606, 5662, 540, 17655, 6475, 17209, 942, 547, 2932, 513, 1362, 7634, 269, 11334, 540, 10888, 1533, 7400, 6887, 786, 4309, 513, 1269, 2004, 10516, 3556, 563, 5723, 27345, 5990, 19766, 292, 2316, 3582, 454, 8005, 2052, 12160, 622, 286, 5664, 543, 4400, 3427, 2875, 6887, 540, 909, 547, 476, 276, 1053, 454, 294, 4599, 707, 2978, 10359, 543, 575, 17344, 956, 543, 948, 3744, 2232, 519, 6167, 12655, 4886, 17644, 1210, 29113, 269, 2659, 2856, 1522, 581, 519, 1985, 1390, 3070, 547, 3246, 1004, 2066, 519, 8608, 609, 2973, 1216, 267, 1732, 11955, 267, 610, 1818, 3859, 1648, 811, 22237, 563, 763, 17130, 281, 8073, 513, 476, 274, 18826, 19180, 6881, 538, 519, 3898, 540, 513, 3381, 547, 12334, 707, 2856, 585, 1210, 29113, 547, 2232, 835, 540, 519, 12655, 4886, 17644, 269, 10558, 725, 786, 581, 24565, 593, 891, 7355, 281, 476, 272, 264, 13335, 540, 3621, 1543, 267, 476, 273, 264, 27065, 270, 1103, 2617, 566, 267, 543, 476, 274, 264, 19809, 2298, 563, 297, 644, 3101, 281, 1703, 616, 476, 273, 2157, 540, 32198, 281, 476, 272, 264, 3962, 1153, 786, 9794, 519, 3785, 543, 2824, 476, 272, 10888, 2319, 547, 979, 8521, 547, 519, 1533, 1377, 269, 476, 273, 264, 2311, 519, 1533, 1377, 6735, 267, 3744, 543, 2257, 7855, 689, 519, 3194, 21121, 15089, 12771, 8416, 786, 9794, 519, 30594, 16743, 14245, 543, 786, 2824, 519, 10888, 6887, 269, 8074, 281, 634, 1533, 6735, 568, 3908, 547, 519, 1101, 476, 1839, 3506, 547, 11578, 563, 8967, 29107, 676, 634, 3194, 21121, 15089, 12771, 8416, 267, 519, 5101, 2006, 7577, 267, 519, 11016, 4659, 585, 12409, 16743, 267, 543, 519, 5441, 540, 4065, 693, 715, 5425, 308, 269, 0, 27645, 1419, 6560, 547, 1118, 13004, 3078, 538, 2038, 1565, 267, 865, 930, 1453, 666, 1397, 513, 19385, 766, 547, 4497, 538, 519, 1641, 689, 519, 1376, 563, 1607, 568, 835, 540, 519, 4128, 1946, 13708, 1881, 1565, 2553, 616, 5051, 1373, 1031, 547, 8141, 1719, 543, 1628, 11444, 547, 4497, 538, 13004, 267, 3226, 585, 7820, 8186, 563, 5825, 539, 519, 1318, 1259, 267, 13708, 1881, 1565, 666, 3986, 2875, 1445, 267, 543, 1683, 519, 5191, 585, 1053, 547, 2119, 267, 3111, 267, 543, 2263, 543, 3605, 563, 3528, 1374, 267, 3756, 3533, 1628, 513, 15226, 779, 8404, 547, 3094, 1107, 543, 713, 5916, 609, 11544, 12331, 540, 6765, 666, 3142, 930, 6422, 2081, 547, 4228, 707, 2875, 779, 1565, 1761, 563, 2690, 3236, 267, 676, 13708, 4328, 13004, 2591, 538, 1919, 899, 13410, 267, 1053, 1451, 547, 4497, 8013, 569, 269, 19147, 909, 513, 1362, 883, 4130, 2516, 267, 543, 519, 1482, 3014, 1631, 16621, 1514, 2609, 540, 1565, 899, 16542, 543, 2792, 799, 666, 5818, 741, 8404, 543, 6015, 1247, 5355, 741, 1966, 9010, 5759, 563, 19522, 547, 6338, 13708, 2305, 1565, 454, 268, 3550, 519, 3014, 568, 1134, 30499, 609, 1565, 6859, 267, 610, 621, 786, 1175, 581, 513, 30411, 563, 268, 2422, 621, 547, 9148, 824, 3029, 540, 3742, 1565, 267, 2864, 982, 8156, 621, 607, 513, 2736, 610, 10682, 563, 268, 8564, 3872, 3756, 602, 4183, 513, 3126, 540, 3853, 610, 3356, 687, 267, 2312, 3652, 267, 1164, 2170, 2032, 267, 31934, 5955, 267, 543, 930, 2186, 540, 8007, 269, 25166, 1841, 949, 849, 581, 2016, 585, 6029, 8990, 543, 27497, 267, 607, 10353, 547, 1175, 3478, 519, 1318, 2626, 563, 268, 5269, 2386, 596, 610, 519, 4116, 568, 5432, 609, 519, 3301, 543, 8036, 543, 6462, 607, 2556, 563, 2414, 948, 14458, 519, 1184, 267, 4966, 693, 10758, 5456, 302, 4065, 723, 2966, 2098, 16810, 5085, 313, 267, 606, 7317, 3059, 3760, 585, 1762, 6128, 1053, 9907, 689, 918, 268, 278, 563, 763, 3014, 568, 827, 2679, 1297, 9696, 267, 4543, 1053, 1020, 519, 9266, 3206, 1271, 547, 741, 2631, 540, 875, 2338, 3514, 1927, 269, 9669, 616, 7000, 547, 948, 3391, 1053, 547, 1589, 998, 1142, 4161, 269, 1703, 616, 476, 7785, 3756, 6035, 896, 513, 2582, 5993, 20478, 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 ]
[ 269, 5780, 815, 476, 275, 2918, 4198, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 6858, 815, 476, 275, 2918, 28071, 269, 276, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 6924, 815, 476, 275, 2918, 11740, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 7597, 815, 476, 275, 2918, 4510, 273, 269, 276, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 278, 815, 476, 275, 2918, 30589, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 10170, 815, 476, 275, 2918, 2568, 278, 269, 276, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 7761, 815, 476, 275, 2918, 277, 3445, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 10463, 815, 476, 275, 2918, 6507, 273, 269, 276, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 10619, 815, 476, 275, 2918, 279, 4649, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 4037, 815, 476, 275, 2918, 280, 4391, 269, 276, 454, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 10602, 815, 476, 275, 2767, 22903, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 6507, 815, 476, 275, 2767, 9083, 269, 276, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 4281, 815, 476, 275, 2767, 6977, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 8064, 815, 476, 275, 2767, 29045, 269, 276, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 279, 815, 476, 275, 2767, 12573, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 10037, 815, 476, 275, 2767, 28242, 269, 276, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 11025, 815, 476, 275, 2767, 276, 1428, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 10695, 815, 476, 275, 2767, 6795, 278, 269, 276, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 10019, 815, 476, 275, 2767, 27151, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 5952, 815, 476, 275, 2767, 278, 7830, 269, 276, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 10436, 815, 476, 275, 2767, 279, 3393, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 9262, 815, 476, 275, 2767, 280, 2767, 269, 276, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 6434, 815, 476, 275, 2764, 18089, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 8660, 815, 476, 275, 2764, 6021, 273, 269, 276, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 280, 815, 476, 275, 2764, 11260, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 11011, 815, 476, 275, 2764, 27038, 269, 276, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 10844, 815, 476, 275, 2764, 22430, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 11152, 815, 476, 275, 2764, 32455, 269, 276, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 11463, 815, 476, 275, 2764, 31746, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 4817, 815, 476, 275, 2764, 6812, 278, 269, 276, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 9834, 815, 476, 275, 2764, 277, 3583, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 9032, 815, 476, 275, 2764, 4037, 273, 269, 276, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 7176, 815, 476, 275, 2764, 279, 3374, 476, 279, 1839, 271, 2600, 540, 476, 7906, 269, 4200, 815, 476, 275, 2764, 280, 1704, 269, 276, 476, 279, 1839, 271, 2600, 540, 476, 7367, 815, 476, 275, 3066, 1822, 0, 14695, 10482, 692, 14695, 267, 10482, 568, 606, 1256, 12432, 1297, 7768, 540, 2185, 6305, 2338, 16611, 1927, 780, 1432, 1281, 519, 1297, 476, 14695, 10482, 1413, 899, 2496, 1607, 14839, 2982, 519, 2078, 1063, 922, 476, 275, 6305, 2188, 630, 26171, 10580, 264, 543, 476, 3607, 16975, 780, 14695, 10482, 568, 606, 1256, 12432, 1297, 269, 898, 568, 7768, 540, 2185, 3982, 6305, 2338, 16611, 1927, 269, 898, 814, 513, 2698, 540, 13977, 29350, 16975, 780, 28269, 26458, 540, 476, 14695, 10482, 1384, 2420, 6398, 476, 3953, 6398, 476, 4029, 6398, 476, 13647, 692, 263, 273, 6398, 476, 273, 6398, 476, 274, 6398, 476, 274, 6398, 476, 4029, 6398, 476, 13647, 2020, 8450, 2630, 585, 4277, 6310, 5013, 827, 519, 1297, 476, 14695, 10482, 689, 519, 7089, 3901, 923, 6538, 780, 301, 1868, 540, 476, 14695, 10482, 692, 1892, 9315, 1400, 281, 476, 14695, 10482, 666, 581, 2854, 607, 2290, 4627, 8938, 29350, 8536, 267, 835, 4627, 5216, 780, 26199, 10035, 692, 1892, 11660, 10035, 281, 476, 272, 269, 28360, 5400, 6398, 476, 10755, 692, 26502, 540, 476, 14695, 10482, 692, 1892, 7089, 540, 3982, 6305, 2188, 28911, 3799, 2567, 476, 275, 454, 1892, 11192, 1297, 540, 6305, 2188, 3852, 358, 3799, 2567, 476, 277, 454, 1892, 5681, 540, 6305, 2188, 281, 476, 14983, 692, 19667, 30583, 540, 476, 14695, 10482, 692, 1892, 7089, 540, 16975, 546, 3799, 2567, 476, 3607, 454, 1892, 13159, 1592, 540, 16975, 912, 1892, 5681, 540, 782, 16975, 21566, 3799, 2567, 476, 28664, 280, 6924, 454, 1892, 5681, 540, 1697, 16975, 630, 1080, 620, 1172, 582, 2040, 264, 521, 3799, 2567, 476, 13078, 279, 2568, 454, 1892, 476, 14695, 10482, 568, 606, 10731, 1297, 267, 1317, 519, 2040, 540, 922, 1697, 16975, 630, 13078, 279, 2568, 264, 568, 3152, 982, 3294, 269, 4706, 11606, 568, 476, 8064, 278, 7367, 692, 289, 1162, 540, 476, 14695, 10482, 692, 1892, 23030, 281, 476, 9340, 6200, 1911, 1911, 9340, 16573, 454, 1892, 12476, 268, 3607, 281, 476, 273, 303, 289, 271, 692, 306, 638, 4100, 543, 5072, 540, 476, 14695, 10482, 692, 1892, 476, 14695, 10482, 16302, 630, 14695, 10482, 273, 264, 568, 476, 14689, 271, 3953, 28510, 5038, 454, 1892, 476, 14695, 10482, 7750, 539, 630, 14695, 10482, 274, 264, 568, 476, 1220, 4649, 273, 275, 2537, 28883, 14378, 273, 454, 1892, 634, 4009, 3597, 540, 476, 14695, 10482, 568, 476, 28307, 269, 14138, 6434, 273, 14917, 280, 454, 1892, 634, 13306, 3597, 540, 476, 14695, 10482, 568, 476, 2004, 269, 15704, 29218, 280, 6858, 274, 692, 9928, 2297, 543, 16198, 692, 1692, 2462, 568, 476, 14695, 10482, 888, 1892, 476, 14695, 267, 10482, 7643, 568, 3160, 547, 476, 272, 1554, 267, 476, 1556, 3108, 267, 476, 272, 8792, 267, 476, 4366, 7643, 563, 1892, 1677, 1293, 689, 476, 272, 547, 476, 14695, 267, 10482, 1131, 1491, 596, 827, 22221, 3108, 780, 1607, 568, 513, 1360, 11315, 7447, 267, 1759, 593, 513, 6340, 2557, 540, 3368, 513, 2034, 1169, 3791, 1931, 540, 9588, 269, 1403, 596, 3717, 3533, 267, 596, 1223, 4440, 2161, 1022, 14477, 7302, 4923, 1297, 1063, 835, 543, 513, 8536, 538, 1472, 3368, 513, 2034, 269, 15020, 2462, 2338, 15069, 1491, 3476, 547, 2161, 267, 865, 649, 1039, 3368, 513, 2034, 585, 1169, 3063, 1535, 1911, 271, 269, 630, 2171, 798, 711, 1293, 32246, 533, 13415, 267, 19880, 9397, 610, 519, 13766, 540, 3207, 538, 938, 9819, 256, 2020, 1892, 589, 13306, 609, 513, 4320, 540, 476, 14695, 10482, 12945, 6279, 1131, 581, 1472, 476, 275, 269, 273, 3952, 7381, 780, 3725, 920, 1049, 13004, 609, 476, 14695, 10482, 692, 1892, 476, 14695, 10482, 23651, 568, 476, 3199, 272, 277, 2641, 454, 1892, 476, 14695, 10482, 568, 513, 670, 6702, 611, 1297, 563, 1892, 634, 1297, 540, 8918, 9704, 621, 814, 568, 281, 476, 277, 454, 1892, 634, 2040, 540, 476, 14695, 10482, 781, 9704, 568, 476, 1240, 454, 1892, 2859, 4947, 4166, 2439, 290, 4878, 713, 3095, 547, 2671, 609, 4896, 1384, 300, 6369, 2511, 912, 257, 10831, 476, 14695, 10482, 910, 12700, 827, 519, 8870, 2668, 7089, 3901, 923, 2593, 269, 476, 1708, 275, 269, 5680, 269, 476, 2641, 4873, 476, 1708, 275, 780, 4338, 288, 2511, 912, 10831, 3901, 923, 269, 630, 1708, 275, 1040, 7089, 476, 14695, 10482, 910, 12700, 827, 519, 8870, 269, 8158, 476, 2641, 4873, 476, 1708, 275, 267, 689, 4179, 2517, 15893, 3901, 923, 2593, 14672, 270, 14695, 10482, 270, 692, 2419, 8522, 2511, 912, 10831, 3901, 923, 269, 476, 1708, 275, 269, 834, 10831, 476, 14695, 10482, 910, 12700, 827, 519, 8870, 2668, 4179, 2517, 15893, 3901, 923, 2593, 14672, 270, 14695, 10482, 270, 692, 763, 1344, 649, 723, 593, 3758, 585, 476, 14695, 10482, 2882, 6310, 1239, 543, 10230, 7194, 7229, 1210, 3044, 6620, 543, 2409, 269, 1284, 616, 4946, 811, 782, 519, 942, 269, 1403, 972, 616, 1022, 2934, 596, 1131, 899, 547, 1294, 267, 5225, 3346, 721, 269, 6176, 3177, 585, 3872, 946, 267, 7214, 7279, 543, 1187, 2439, 21292, 281, 6555, 30583, 540, 476, 14695, 10482, 267, 2979, 267, 11790, 540, 476, 14695, 10482, 267, 6437, 267, 1153, 267, 2852, 267, 11400, 267, 6280, 267, 11788, 26458, 540, 476, 14695, 10482, 267, 13241, 267, 2257, 267, 2029, 267, 4702, 267, 6323, 267, 9297, 267, 9498, 267, 835, 4627, 8938, 29350, 8536, 267, 835, 4627, 5216, 780, 17764, 1100, 269, 808, 822, 2444, 2815, 568, 23564, 1055, 538, 707, 11422, 563, 5278, 11353, 540, 713, 3896, 949, 711, 960, 8259, 596, 6467, 621, 593, 269, 0, 258, 26228, 3259, 5493, 785, 668, 545, 10799, 532, 585, 1169, 4994, 971, 602, 621, 6238, 543, 7475, 693, 602, 4994, 692, 1892, 30975, 5426, 2433, 16869, 454, 1892, 7831, 21213, 2433, 476, 5881, 2904, 267, 476, 1708, 272, 692, 11693, 513, 5569, 590, 267, 519, 4305, 585, 1169, 4994, 540, 519, 5569, 568, 547, 1265, 519, 3259, 540, 519, 13074, 5493, 785, 668, 545, 10799, 532, 602, 2901, 6238, 610, 7475, 693, 602, 4994, 780, 14300, 1384, 19152, 281, 590, 815, 968, 321, 629, 19487, 7536, 20479, 281, 476, 276, 476, 276, 476, 274, 476, 274, 476, 276, 476, 276, 454, 15008, 912, 16524, 652, 5493, 785, 668, 545, 10799, 532, 4358, 693, 4994, 476, 271, 568, 968, 321, 629, 629, 6100, 4475, 267, 3259, 815, 476, 276, 454, 16524, 652, 5493, 785, 668, 545, 10799, 532, 4358, 693, 4994, 476, 272, 568, 968, 629, 19487, 6100, 4475, 267, 476, 1109, 26319, 815, 476, 276, 454, 16524, 652, 5493, 785, 668, 545, 10799, 532, 10678, 693, 4994, 476, 273, 568, 968, 321, 629, 6100, 4475, 267, 476, 1109, 26319, 815, 476, 274, 454, 16524, 652, 5493, 785, 668, 545, 10799, 532, 10678, 693, 4994, 476, 274, 568, 968, 19487, 6100, 4475, 267, 476, 1109, 26319, 815, 476, 274, 454, 16524, 652, 5493, 785, 668, 545, 10799, 532, 10678, 693, 4994, 476, 275, 568, 968, 321, 629, 629, 6100, 4475, 267, 476, 1109, 26319, 815, 476, 276, 454, 16524, 652, 5493, 785, 668, 545, 10799, 532, 10678, 693, 4994, 476, 276, 568, 968, 629, 19487, 6100, 4475, 267, 476, 1109, 26319, 815, 476, 276, 692, 19152, 281, 590, 815, 968, 12711, 320, 7536, 20479, 281, 476, 274, 476, 273, 476, 274, 454, 15008, 912, 16524, 652, 5493, 785, 668, 545, 10799, 532, 4358, 693, 4994, 476, 271, 568, 968, 12711, 320, 6100, 4475, 267, 3259, 815, 476, 274, 454, 16524, 652, 5493, 785, 668, 545, 10799, 532, 4358, 693, 4994, 476, 272, 568, 968, 629, 6100, 4475, 267, 476, 1109, 26319, 815, 476, 273, 454, 16524, 652, 5493, 785, 668, 545, 10799, 532, 10678, 693, 4994, 476, 274, 568, 281, 968, 12711, 320, 6100, 4475, 267, 3259, 815, 476, 274, 692, 7343, 25209, 281, 634, 2856, 547, 4194, 713, 1966, 568, 547, 29906, 519, 5569, 543, 585, 1142, 4994, 267, 2638, 585, 519, 13074, 5493, 785, 668, 545, 10799, 532, 602, 666, 581, 4646, 609, 602, 4994, 2901, 607, 519, 4358, 4994, 543, 519, 10678, 4994, 540, 519, 5493, 785, 668, 545, 10799, 532, 269, 7427, 519, 3268, 2630, 547, 4194, 519, 1966, 1384, 1892, 19461, 1125, 606, 5044, 5493, 21920, 26514, 547, 4558, 519, 3259, 540, 519, 13074, 5493, 785, 668, 545, 10799, 902, 585, 1142, 4994, 563, 1892, 3004, 2091, 519, 5569, 1210, 513, 4756, 1775, 543, 1685, 519, 1739, 4238, 912, 1892, 19461, 1125, 513, 4756, 267, 2161, 3193, 21920, 267, 547, 4558, 519, 3259, 540, 519, 13074, 5493, 785, 668, 545, 10799, 532, 585, 1142, 4994, 563, 1892, 6333, 1775, 547, 581, 519, 10678, 4994, 540, 513, 5493, 785, 668, 545, 10799, 532, 543, 1265, 519, 1101, 4994, 689, 795, 936, 519, 2039, 1496, 271, 267, 1775, 1107, 476, 272, 3910, 971, 602, 590, 14728, 267, 1775, 316, 568, 513, 5493, 30308, 269, 22352, 3193, 21920, 563, 1892, 6333, 1775, 607, 519, 4358, 4994, 540, 513, 5493, 785, 668, 545, 10799, 532, 543, 1265, 519, 2063, 4994, 689, 795, 936, 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 ]
[ 769, 519, 13814, 267, 519, 16586, 8704, 14880, 1530, 903, 338, 24493, 32483, 607, 25415, 12921, 2174, 1170, 541, 267, 945, 3533, 3459, 547, 30201, 1393, 519, 5111, 476, 9610, 267, 1822, 10656, 7642, 269, 7642, 941, 7142, 856, 540, 741, 6009, 543, 1185, 547, 11578, 609, 519, 2229, 269, 6348, 11219, 28779, 10656, 4961, 1486, 6479, 891, 3800, 267, 543, 538, 5988, 476, 3707, 272, 789, 588, 3042, 513, 10880, 602, 729, 3533, 16760, 269, 2991, 19934, 781, 21704, 693, 519, 1439, 540, 2904, 476, 3707, 271, 267, 621, 729, 12199, 676, 513, 4436, 4108, 17294, 267, 12138, 13153, 674, 1779, 523, 27346, 523, 267, 945, 21892, 4550, 11219, 28779, 3800, 1996, 519, 2197, 781, 476, 3445, 267, 1822, 7642, 267, 1082, 540, 7247, 941, 15076, 689, 5125, 610, 8109, 2342, 563, 2467, 568, 1100, 2601, 585, 519, 12995, 4528, 547, 1869, 581, 1031, 1317, 1453, 1224, 14732, 7671, 781, 19701, 1472, 6502, 476, 1556, 268, 1691, 1296, 2025, 799, 729, 1472, 2085, 950, 14732, 9887, 729, 1603, 519, 19701, 269, 32506, 602, 1223, 581, 2938, 607, 27581, 834, 514, 14363, 257, 666, 581, 2938, 593, 24817, 8613, 609, 513, 623, 294, 610, 6148, 623, 294, 268, 1724, 12773, 269, 23883, 891, 2395, 267, 972, 781, 9090, 4986, 538, 972, 602, 568, 3564, 519, 2343, 585, 519, 3328, 512, 1048, 268, 10117, 269, 594, 1589, 602, 11173, 547, 946, 606, 12995, 4528, 568, 29405, 532, 547, 14732, 7671, 781, 3965, 269, 3502, 1152, 602, 267, 855, 621, 2488, 3407, 1344, 827, 519, 942, 1974, 543, 3947, 811, 9305, 1464, 547, 519, 19701, 563, 295, 2788, 513, 1032, 2663, 267, 670, 28328, 729, 8719, 676, 2725, 597, 589, 2466, 267, 945, 10288, 519, 631, 1601, 611, 547, 968, 17380, 31743, 1310, 15293, 338, 689, 519, 2250, 543, 25058, 782, 938, 812, 12741, 543, 2200, 547, 6937, 1996, 519, 3354, 540, 519, 1533, 1848, 1261, 32486, 602, 519, 8116, 4308, 609, 21647, 968, 21671, 547, 519, 6708, 621, 568, 2111, 547, 798, 865, 267, 538, 1840, 547, 922, 9030, 13485, 892, 543, 607, 1279, 607, 968, 527, 3085, 1406, 791, 16636, 593, 519, 824, 4238, 3034, 23562, 1231, 941, 16271, 547, 12353, 18362, 543, 7403, 540, 741, 2168, 10305, 676, 631, 3188, 548, 610, 835, 540, 1010, 20843, 269, 634, 6901, 646, 5340, 593, 21054, 3769, 11991, 993, 1584, 566, 540, 17873, 267, 17543, 3468, 532, 835, 18618, 609, 27193, 639, 610, 930, 824, 2068, 267, 543, 13816, 6748, 519, 1973, 540, 835, 18618, 883, 519, 824, 269, 3509, 540, 519, 9601, 5747, 1247, 18460, 891, 5773, 267, 543, 1346, 945, 15068, 519, 6901, 941, 3006, 7166, 543, 741, 4703, 26819, 539, 2899, 631, 3188, 548, 1185, 1100, 2417, 946, 585, 873, 269, 27526, 529, 345, 2993, 27416, 835, 8317, 593, 799, 631, 3188, 548, 13948, 7166, 27552, 21054, 538, 835, 3781, 676, 7630, 532, 741, 12271, 609, 8392, 334, 845, 269, 1403, 835, 18618, 5747, 689, 2068, 267, 646, 1131, 6146, 519, 824, 18618, 547, 1450, 13354, 2022, 2173, 677, 655, 5359, 547, 581, 3812, 585, 1382, 5301, 563, 5415, 982, 476, 9610, 1296, 1310, 8402, 4858, 4068, 11827, 519, 4858, 4068, 2542, 1062, 267, 1530, 328, 24734, 631, 12011, 820, 3357, 909, 609, 513, 1114, 1062, 1759, 593, 5905, 602, 2636, 11617, 15176, 1004, 547, 6330, 1857, 5624, 269, 4653, 267, 28241, 22338, 568, 1031, 676, 2101, 4872, 543, 6283, 2533, 1472, 519, 1158, 269, 631, 12011, 820, 729, 865, 9565, 602, 646, 781, 519, 1641, 540, 519, 5616, 667, 22259, 585, 4728, 476, 1240, 267, 519, 476, 7367, 526, 16683, 540, 28241, 22338, 781, 26813, 563, 3086, 15751, 3619, 1359, 267, 945, 5747, 538, 476, 3422, 277, 267, 568, 1373, 2808, 585, 606, 22632, 2016, 547, 1346, 945, 1981, 539, 741, 2729, 547, 4688, 7642, 1282, 519, 14195, 269, 589, 3758, 568, 1373, 5423, 693, 962, 611, 23849, 1335, 634, 14195, 6742, 344, 3464, 262, 543, 32445, 262, 3816, 27320, 16958, 267, 519, 14195, 18189, 543, 1382, 8998, 538, 5840, 267, 547, 2322, 15751, 3619, 1359, 4464, 585, 519, 9406, 15667, 7324, 519, 8315, 8366, 269, 589, 5859, 547, 22632, 1864, 5205, 3395, 6284, 540, 1010, 3646, 547, 4688, 9601, 540, 519, 21647, 563, 4002, 519, 552, 557, 540, 2622, 2782, 4083, 267, 519, 674, 6686, 327, 17243, 630, 338, 1575, 3153, 6205, 264, 15597, 12219, 519, 7642, 540, 2342, 1282, 513, 4633, 538, 12670, 281, 834, 1103, 519, 1576, 540, 1250, 1272, 594, 723, 1360, 1419, 1044, 513, 22445, 267, 543, 723, 2356, 1044, 28457, 539, 585, 621, 269, 4438, 519, 942, 540, 1250, 6560, 585, 1379, 621, 729, 538, 519, 1101, 3236, 1152, 519, 6014, 5198, 602, 4607, 1250, 16322, 2886, 609, 17409, 950, 594, 1767, 602, 594, 1131, 835, 1554, 1491, 936, 519, 5718, 540, 519, 3557, 267, 543, 609, 621, 602, 540, 519, 2898, 4182, 267, 543, 602, 594, 1131, 1287, 1851, 824, 1919, 7017, 519, 6014, 1966, 269, 4256, 17409, 729, 909, 549, 13895, 267, 855, 594, 1589, 602, 585, 930, 942, 1631, 789, 723, 1044, 28617, 593, 519, 824, 2427, 540, 741, 3068, 269, 4653, 594, 786, 2899, 811, 581, 513, 22445, 281, 952, 519, 3486, 6014, 1710, 534, 857, 619, 538, 543, 3544, 2342, 1058, 8011, 538, 32168, 532, 519, 6082, 2899, 811, 883, 513, 1158, 2112, 267, 1287, 519, 1267, 786, 711, 581, 519, 12157, 9917, 341, 1944, 540, 519, 3618, 267, 543, 3976, 519, 11802, 540, 4035, 787, 267, 855, 519, 3045, 8811, 7976, 540, 519, 6014, 5198, 538, 2342, 30882, 23389, 9399, 543, 7128, 23689, 5176, 476, 273, 267, 10384, 267, 1822, 7642, 538, 519, 11318, 7740, 2901, 676, 607, 19148, 343, 2747, 609, 8914, 3154, 610, 676, 15246, 269, 769, 922, 30810, 267, 519, 834, 29806, 8827, 257, 1572, 585, 519, 12638, 540, 782, 3864, 7642, 676, 575, 23035, 267, 15246, 267, 543, 824, 1797, 269, 14520, 2929, 6014, 2367, 267, 2021, 267, 543, 1453, 941, 7166, 1282, 519, 14195, 1765, 18314, 22188, 540, 519, 7642, 2713, 538, 2342, 1354, 2622, 2782, 4083, 563, 2108, 8005, 814, 1500, 721, 7642, 1114, 689, 782, 824, 1004, 286, 5808, 814, 4847, 721, 547, 7985, 865, 1768, 1026, 569, 909, 2394, 1631, 286, 898, 568, 2696, 945, 814, 1500, 721, 607, 649, 616, 267, 855, 621, 786, 581, 2696, 267, 1932, 267, 945, 786, 6318, 721, 909, 1586, 269, 5808, 6487, 286, 898, 1522, 1256, 581, 938, 4984, 689, 799, 519, 1158, 543, 782, 9082, 1451, 1434, 267, 543, 585, 602, 2601, 543, 1152, 602, 2601, 798, 649, 7985, 269, 1284, 666, 2760, 1831, 1175, 13291, 1633, 619, 267, 610, 1175, 2296, 610, 13222, 540, 1022, 2197, 585, 602, 2339, 269, 1284, 786, 2141, 2611, 7642, 267, 855, 649, 1616, 547, 267, 1932, 1848, 1107, 4989, 476, 1556, 267, 476, 3707, 275, 454, 763, 9120, 5198, 729, 519, 834, 288, 787, 753, 2437, 519, 16586, 269, 634, 2262, 589, 32569, 267, 834, 21710, 689, 519, 1353, 540, 23316, 267, 799, 3323, 538, 519, 22733, 2540, 543, 693, 930, 1448, 5462, 602, 519, 21475, 8566, 9007, 545, 630, 10193, 1634, 607, 589, 32569, 264, 4654, 941, 9120, 538, 741, 3889, 267, 3099, 267, 543, 6863, 547, 519, 12054, 12792, 4654, 602, 1185, 7960, 538, 519, 14033, 5101, 269, 901, 10385, 3366, 547, 513, 1978, 28756, 675, 827, 519, 1915, 540, 519, 9082, 945, 12038, 891, 4654, 282, 519, 3932, 729, 602, 519, 1412, 288, 32569, 262, 9082, 941, 11338, 9120, 547, 519, 1412, 306, 655, 12792, 262, 3283, 257, 630, 299, 523, 328, 23968, 559, 267, 634, 14195, 281, 634, 674, 622, 540, 3864, 4035, 787, 267, 1715, 3840, 281, 10228, 2160, 4964, 267, 476, 1960, 271, 267, 533, 269, 476, 3607, 1916, 306, 3019, 1310, 267, 513, 631, 1601, 611, 13178, 2319, 4718, 513, 812, 12805, 631, 3188, 548, 779, 6609, 4283, 513, 26849, 11262, 676, 513, 1268, 945, 729, 1634, 547, 581, 538, 5905, 609, 1864, 269, 2201, 5147, 476, 2537, 267, 476, 3422, 273, 267, 519, 631, 1601, 611, 1766, 894, 2098, 12858, 589, 9618, 18223, 630, 15367, 1185, 4857, 661, 747, 10458, 1079, 1296, 4505, 264, 729, 593, 513, 13897, 4155, 676, 519, 3484, 1141, 631, 3188, 548, 729, 5156, 547, 581, 15720, 950, 646, 11402, 513, 1895, 540, 2367, 2443, 1519, 835, 945, 6743, 4010, 899, 519, 535, 1872, 1438, 563, 1103, 476, 3707, 273, 267, 609, 519, 21647, 30939, 26652, 267, 513, 24369, 4458, 6040, 6014, 8004, 543, 1200, 1920, 19679, 741, 1753, 538, 24545, 543, 4682, 883, 15720, 269, 1280, 519, 1985, 1079, 1296, 267, 2394, 741, 1141, 629, 8083, 941, 20729, 539, 547, 519, 30123, 777, 334, 267, 519, 2605, 3471, 543, 1776, 1920, 5030, 27972, 626, 1229, 538, 519, 968, 5353, 4038, 1323, 10811, 324, 892, 540, 606, 2025, 5604, 2679, 269, 12338, 1055, 689, 519, 3544, 1158, 267, 789, 5185, 14000, 267, 30627, 267, 519, 3586, 16970, 2906, 540, 2713, 538, 16876, 20453, 267, 543, 519, 2479, 1790, 6974, 3463, 540, 6602, 543, 2669, 269, 769, 1200, 19701, 14732, 7671, 6592, 12667, 24221, 540, 1200, 2833, 1282, 713, 1974, 269, 1635, 7140, 15826, 267, 3001, 267, 543, 19599, 14973, 267, 1200, 2272, 3091, 513, 4241, 16555, 593, 1480, 10100, 543, 9808, 14923, 543, 513, 8903, 1582, 268, 1636, 11681, 540, 513, 6213, 543, 3303, 1243, 1762, 4807, 4171, 9153, 729, 911, 326, 1227, 2759, 2110, 563, 2026, 13303, 28112, 15967, 3262, 2066, 2342, 267, 519, 16586, 543, 741, 3523, 2209, 30201, 3176, 543, 23689, 6634, 540, 824, 1004, 269, 9737, 1079, 543, 1614, 2929, 8168, 14586, 540, 2112, 941, 23689, 610, 5747, 540, 27781, 267, 2068, 267, 10714, 267, 610, 22266, 2126, 269, 634, 16586, 6098, 519, 1875, 11219, 28779, 14470, 4111, 757, 807, 585, 11318, 267, 543, 1244, 9285, 6634, 540, 14470, 543, 8168, 21127, 585, 7142, 4074, 538, 5125, 610, 538, 13026, 12996, 267, 1141, 891, 2043, 5249, 543, 1419, 5747, 896, 632, 680, 22789, 2175, 563, 3383, 519, 1739, 1032, 267, 538, 4873, 476, 1001, 277, 267, 6154, 1495, 8120, 609, 1079, 2516, 540, 3173, 543, 741, 3937, 543, 585, 519, 1101, 942, 25528, 519, 7164, 2127, 540, 519, 3135, 267, 1519, 1022, 796, 5658, 539, 2527, 30401, 269, 3973, 267, 1210, 513, 4015, 540, 19666, 11147, 540, 623, 517, 541, 8929, 676, 13303, 11028, 18590, 14742, 543, 9676, 1282, 519, 2112, 267, 799, 5280, 2285, 519, 3173, 513, 1732, 2631, 540, 519, 3786, 779, 11768, 267, 6154, 1495, 543, 1010, 9164, 5828, 741, 3007, 547, 4466, 10881, 827, 875, 519, 3786, 779, 535, 12574, 15000, 941, 2111, 547, 1265, 513, 1259, 856, 269, 630, 288, 968, 301, 13960, 892, 8613, 17245, 827, 519, 8906, 1336, 538, 966, 559, 333, 3780, 267, 834, 29804, 12151, 18521, 1901, 20658, 6773, 257, 786, 6566, 328, 699, 593, 32282, 593, 4989, 476, 866, 269, 6744, 707, 2199, 1592, 902, 585, 2053, 8094, 4517, 1934, 568, 1141, 519, 11972, 10083, 540, 519, 4498, 2548, 1695, 1650, 2501, 538, 269, 3807, 513, 1906, 4374, 3516, 267, 585, 3236, 267, 519, 1654, 343, 539, 2243, 540, 14470, 5698, 538, 519, 14195, 729, 2899, 1586, 538, 519, 24657, 267, 519, 1641, 540, 513, 20320, 535, 2350, 553, 1063, 13243, 543, 32160, 269, 17610, 569, 519, 2487, 3646, 676, 519, 14470, 2229, 547, 1253, 677, 610, 3382, 909, 519, 3140, 2594, 616, 964, 6326, 540, 8325, 9880, 267, 543, 519, 7366, 952, 711, 5215, 540, 2717, 525, 945, 29211, 538, 519, 608, 3410, 1588, 540, 519, 7642, 17330, 5337, 558, 4176, 1100, 1447, 982, 1705, 519, 5215, 540, 3504, 14655, 5396, 945, 8067, 1229, 547, 948, 8621, 534, 563, 2414, 21991, 1393, 519, 3401, 540, 519, 14195, 267, 519, 4139, 13639, 17650, 26915, 538, 715, 675, 3088, 326, 729, 4646, 538, 476, 3707, 277, 269, 634, 772, 2529, 1421, 519, 5177, 267, 519, 8168, 5742, 543, 5333, 1142, 13859, 1079, 16488, 630, 320, 3119, 543, 606, 14595, 264, 543, 513, 31989, 2319, 585, 519, 4693, 269, 3828, 10679, 3056, 13303, 8387, 941, 30992, 547, 2669, 585, 519, 10963, 789, 1185, 8149, 267, 1247, 1614, 4607, 1272, 5220, 538, 7890, 267, 543, 2185, 1185, 7890, 2474, 585, 909, 547, 8938, 1296, 563, 21953, 1022, 16879, 540, 14732, 7671, 607, 513, 4207, 4137, 568, 606, 796, 3128, 344, 25127, 281, 621, 512, 2086, 619, 609, 1686, 267, 609, 4641, 267, 609, 14686, 5168, 269, 968, 2691, 594, 2328, 2223, 1352, 1476, 3660, 267, 968, 296, 666 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 548, 267, 538, 6247, 656, 267, 13546, 977, 783, 267, 562, 1872, 2218, 267, 14275, 267, 7443, 1652, 267, 14692, 344, 267, 959, 604, 1782, 267, 796, 822, 9430, 267, 796, 28695, 267, 796, 2889, 325, 3386, 267, 26867, 267, 5667, 15384, 325, 3539, 267, 5667, 16291, 762, 267, 5667, 889, 560, 656, 658, 267, 24631, 267, 642, 664, 267, 22643, 573, 267, 5075, 776, 267, 4502, 1652, 454, 1228, 12930, 267, 25368, 267, 6225, 267, 19579, 267, 2500, 267, 3608, 267, 11880, 1304, 267, 14984, 267, 3532, 267, 19311, 267, 1483, 267, 3028, 762, 267, 4396, 267, 3280, 267, 8101, 267, 6190, 267, 3730, 267, 4570, 267, 3407, 267, 17709, 454, 28415, 9218, 540, 14271, 11618, 543, 4165, 11618, 454, 291, 5315, 540, 2296, 14271, 7716, 525, 454, 26239, 11618, 267, 4165, 11618, 1299, 23105, 9293, 454, 24552, 8560, 676, 6165, 4908, 454, 1692, 547, 946, 24735, 538, 513, 4845, 888, 15987, 513, 1434, 30254, 3112, 7254, 794, 513, 3983, 2962, 267, 513, 3983, 30254, 786, 2141, 3857, 5573, 513, 1434, 2962, 269, 769, 1455, 543, 24735, 6927, 649, 949, 957, 1510, 24500, 267, 855, 538, 4090, 748, 3283, 519, 1034, 6297, 18064, 3130, 568, 7326, 563, 296, 2015, 621, 24631, 543, 32462, 547, 2099, 1018, 6818, 267, 1317, 4986, 602, 6818, 25389, 803, 269, 7186, 568, 30299, 267, 543, 594, 4782, 519, 28749, 540, 1250, 16681, 547, 1018, 568, 9797, 24735, 563, 4322, 616, 711, 24735, 5666, 563, 763, 2856, 602, 1004, 616, 865, 24735, 602, 789, 666, 581, 3592, 8945, 539, 883, 513, 3406, 585, 2696, 676, 19278, 873, 609, 513, 17075, 1576, 568, 513, 3978, 2275, 14394, 5470, 563, 4322, 616, 711, 24735, 2055, 538, 2474, 540, 519, 1483, 16048, 17732, 540, 8219, 585, 1004, 945, 616, 593, 519, 7996, 1592, 563, 9558, 331, 725, 585, 24735, 454, 5804, 938, 5564, 13308, 22564, 9218, 454, 268, 24735, 267, 7333, 531, 290, 7614, 534, 267, 4406, 523, 857, 534, 454, 268, 959, 643, 328, 5451, 15238, 6403, 267, 546, 745, 327, 990, 383, 377, 267, 581, 345, 341, 383, 377, 345, 5864, 333, 383, 377, 290, 14864, 454, 268, 512, 6686, 21331, 267, 512, 10052, 710, 267, 2415, 710, 292, 8725, 1014, 454, 268, 5378, 24477, 7238, 333, 267, 2881, 327, 3570, 1731, 664, 523, 267, 1119, 327, 329, 7564, 12639, 7564, 643, 7564, 514, 523, 267, 586, 802, 1074, 1643, 523, 267, 512, 822, 718, 514, 523, 267, 31851, 8932, 293, 4883, 880, 454, 268, 606, 617, 514, 267, 24735, 267, 7333, 531, 23210, 454, 268, 15921, 9017, 267, 647, 541, 778, 9928, 2714, 880, 717, 6130, 545, 454, 268, 795, 601, 550, 2946, 19241, 601, 523, 267, 959, 643, 328, 5451, 5894, 267, 4012, 5451, 339, 6759, 331, 20527, 4135, 564, 385, 495, 323, 385, 495, 267, 737, 7238, 345, 7238, 985, 2946, 2471, 267, 562, 344, 559, 341, 17505, 1998, 6759, 267, 3331, 374, 1206, 345, 2946, 2993, 295, 2426, 4115, 454, 268, 7333, 1446, 267, 3921, 514, 9222, 267, 1202, 20138, 14397, 2005, 6501, 454, 268, 476, 11590, 505, 27381, 364, 267, 476, 7430, 353, 7430, 378, 11210, 487, 7430, 359, 7430, 482, 267, 29635, 505, 485, 420, 370, 367, 267, 29635, 485, 359, 13107, 492, 267, 476, 20881, 504, 26175, 364, 267, 476, 7430, 480, 11210, 488, 7430, 369, 11210, 490, 7430, 509, 267, 17276, 508, 507, 420, 495, 487, 267, 476, 10951, 360, 418, 351, 351, 7511, 267, 476, 7430, 499, 7430, 499, 7430, 482, 7430, 359, 30153, 454, 268, 737, 19476, 1905, 320, 267, 544, 3266, 16951, 300, 5953, 9461, 454, 268, 2119, 342, 658, 5500, 267, 536, 22119, 320, 1506, 21691, 880, 454, 268, 25338, 3522, 20265, 23783, 21162, 13953, 267, 476, 4344, 23485, 8563, 4138, 3522, 23783, 21162, 13953, 267, 16068, 16648, 9924, 10948, 21162, 13953, 267, 14359, 4138, 10948, 4344, 5284, 370, 21162, 13953, 267, 20413, 3264, 6459, 24012, 13953, 267, 14359, 3264, 13194, 20265, 10948, 4138, 16021, 23783, 21162, 13953, 305, 11701, 454, 268, 24735, 267, 8709, 5554, 267, 679, 30448, 267, 3921, 514, 7564, 337, 267, 26627, 523, 8663, 306, 14954, 880, 454, 7476, 1256, 811, 16627, 585, 24735, 19314, 8340, 513, 8144, 585, 519, 24735, 28395, 538, 824, 4654, 912, 15675, 1776, 1893, 912, 268, 910, 8564, 20620, 268, 22614, 362, 478, 12916, 497, 18809, 24757, 630, 24336, 910, 22217, 1881, 994, 268, 22614, 373, 479, 421, 360, 498, 18809, 24757, 630, 24336, 910, 12465, 994, 268, 25385, 320, 10722, 565, 630, 28049, 994, 268, 10507, 704, 27053, 630, 19324, 704, 27053, 994, 268, 17276, 501, 354, 10951, 361, 420, 359, 508, 630, 30153, 994, 268, 9929, 340, 17845, 338, 630, 21545, 1872, 12956, 994, 268, 1546, 28852, 630, 23389, 994, 268, 24291, 28257, 14507, 24220, 18716, 29756, 630, 288, 32106, 994, 268, 31839, 9820, 630, 23210, 994, 268, 2843, 510, 7846, 4736, 4736, 24012, 13953, 630, 305, 11701, 994, 268, 11774, 366, 499, 25223, 357, 412, 367, 491, 25223, 357, 25223, 350, 630, 298, 2335, 3385, 994, 268, 476, 17432, 506, 422, 369, 511, 424, 500, 368, 630, 298, 17671, 994, 268, 13913, 351, 403, 495, 29645, 27783, 359, 630, 3891, 11119, 994, 268, 717, 2801, 559, 613, 630, 296, 16194, 994, 268, 2843, 352, 7549, 13077, 397, 501, 4709, 4736, 9841, 18547, 630, 308, 330, 1778, 1014, 994, 268, 18457, 14507, 21333, 15906, 630, 21589, 706, 994, 268, 7395, 344, 541, 630, 295, 2426, 4115, 994, 268, 7162, 362, 14098, 357, 24691, 32172, 18028, 357, 11695, 355, 21005, 630, 295, 785, 328, 994, 268, 12868, 630, 5715, 2158, 1014, 994, 268, 7969, 334, 630, 2005, 6501, 994, 268, 11774, 362, 353, 18298, 362, 18298, 379, 18298, 368, 28159, 491, 630, 307, 7056, 994, 268, 570, 14660, 330, 9809, 324, 630, 307, 24642, 880, 994, 268, 11774, 364, 353, 29497, 484, 17994, 366, 29497, 479, 17994, 501, 29497, 479, 630, 307, 601, 30253, 994, 268, 476, 6893, 510, 32453, 6893, 358, 32453, 16055, 482, 6893, 501, 6893, 351, 630, 1320, 2967, 994, 268, 23621, 17554, 379, 978, 22870, 12782, 485, 339, 630, 309, 2884, 17592, 994, 268, 17487, 490, 324, 20795, 339, 2088, 630, 290, 14864, 994, 268, 2717, 24989, 630, 21691, 880, 994, 268, 15840, 14505, 12868, 630, 5715, 2158, 1014, 994, 268, 7931, 5889, 928, 388, 503, 974, 630, 31718, 1014, 994, 268, 715, 25005, 4133, 630, 291, 8553, 994, 268, 3852, 499, 16575, 16575, 24341, 14832, 15403, 24681, 31149, 630, 31528, 994, 268, 5824, 636, 630, 31142, 994, 268, 590, 26223, 6390, 630, 306, 14954, 880, 994, 268, 667, 13089, 630, 291, 4314, 994, 268, 2672, 23449, 630, 293, 4883, 880, 994, 268, 476, 28519, 8294, 14507, 25078, 17262, 630, 25324, 1014, 994, 268, 13913, 503, 21012, 402, 368, 403, 497, 27783, 358, 630, 312, 1342, 880, 994, 268, 476, 401, 364, 401, 350, 401, 369, 401, 354, 402, 478, 401, 354, 401, 370, 630, 30265, 523, 1014, 994, 268, 715, 832, 330, 630, 301, 528, 19886, 994, 268, 2296, 630, 12626, 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 ]
[ 780, 4353, 269, 19805, 519, 9406, 7392, 540, 4826, 1261, 831, 585, 2659, 5851, 692, 17457, 1216, 28909, 7854, 1585, 19383, 23695, 547, 3309, 2230, 10148, 267, 4492, 7375, 267, 543, 6578, 776, 9270, 269, 25800, 3054, 609, 2442, 3681, 2630, 1384, 272, 269, 19554, 26653, 4826, 1261, 11596, 281, 22034, 1202, 4327, 4859, 13688, 10480, 3842, 513, 6131, 4411, 21226, 10612, 267, 891, 2757, 1949, 840, 17742, 1804, 12531, 540, 1216, 585, 21800, 1569, 2066, 2789, 26892, 269, 12232, 3631, 6451, 3167, 4187, 2609, 267, 3154, 6633, 619, 267, 610, 3282, 30187, 4559, 13324, 676, 2067, 3154, 267, 4412, 2033, 267, 610, 5201, 563, 273, 269, 26653, 1652, 2201, 5937, 655, 663, 7010, 281, 1452, 11741, 6272, 9004, 4439, 5652, 4859, 13688, 676, 8755, 13463, 908, 19670, 1216, 1152, 950, 3747, 14340, 269, 9182, 267, 789, 7413, 1796, 2421, 9271, 543, 2709, 6024, 3761, 1510, 2837, 15088, 7915, 538, 6671, 4859, 13688, 269, 13937, 30187, 4559, 3622, 6556, 2362, 2095, 3928, 3379, 547, 741, 3167, 13413, 563, 274, 269, 14333, 27124, 28628, 19590, 281, 23889, 2011, 21299, 2029, 2147, 547, 9258, 12104, 3130, 9979, 267, 891, 5499, 29528, 7001, 19355, 14246, 4478, 519, 27115, 543, 4483, 621, 547, 6740, 1494, 762, 1216, 269, 2755, 5097, 14018, 585, 7646, 16374, 1813, 547, 8766, 5665, 31931, 1282, 3665, 4365, 2175, 267, 789, 5838, 8101, 1648, 9806, 23630, 3044, 3167, 8925, 563, 275, 269, 9891, 4826, 1261, 11596, 281, 4498, 1145, 532, 1863, 7791, 3859, 5982, 267, 891, 10357, 7888, 3435, 2308, 2901, 3742, 610, 12809, 2409, 547, 2445, 543, 6460, 7943, 883, 26729, 8143, 1648, 269, 4014, 3854, 3790, 4043, 547, 581, 2362, 7620, 267, 1279, 3856, 2132, 593, 5092, 13726, 1115, 3355, 7979, 904, 30289, 547, 30050, 10512, 9276, 780, 309, 269, 25732, 6611, 21976, 543, 29922, 30785, 7844, 590, 3278, 692, 26212, 527, 1944, 1697, 521, 1944, 5849, 6099, 2773, 543, 15325, 3358, 547, 1367, 10820, 262, 2189, 7569, 269, 6333, 1883, 2188, 12018, 5542, 7355, 13890, 2630, 1384, 272, 269, 7731, 12025, 281, 6480, 1493, 3232, 4616, 3270, 1759, 593, 829, 21027, 4170, 8151, 689, 476, 1428, 268, 736, 17529, 829, 1268, 269, 17797, 9935, 547, 2272, 585, 3606, 27445, 13907, 267, 8670, 31290, 12451, 267, 543, 838, 320, 10774, 582, 8685, 3156, 563, 273, 269, 30078, 5915, 1343, 281, 4165, 4602, 622, 8445, 21276, 6165, 7653, 5473, 2789, 14405, 9648, 8195, 2429, 6640, 17643, 13467, 267, 10543, 7594, 7041, 267, 543, 824, 1164, 24683, 663, 2238, 563, 274, 269, 3689, 6953, 712, 28951, 630, 293, 16281, 2567, 13583, 20445, 1683, 674, 16281, 2418, 3067, 4328, 5021, 9447, 3905, 1216, 19206, 1282, 20422, 5662, 569, 11996, 862, 9760, 689, 4628, 9901, 13688, 269, 9061, 18022, 17182, 9138, 16863, 1996, 17191, 2721, 9424, 6908, 6050, 3375, 6194, 3157, 3823, 7850, 2450, 25926, 563, 275, 269, 8447, 10163, 2774, 687, 281, 10055, 585, 8901, 7687, 12044, 7989, 24777, 29066, 9598, 730, 676, 3490, 906, 267, 5008, 1115, 267, 31770, 5624, 267, 1140, 923, 267, 610, 896, 16173, 735, 25902, 16475, 17053, 19698, 780, 9654, 269, 12305, 532, 2659, 1715, 4826, 1261, 831, 15822, 569, 543, 31478, 569, 692, 13420, 5792, 609, 1270, 15363, 1702, 267, 2645, 267, 543, 3106, 15416, 267, 8399, 15891, 13124, 609, 1900, 8386, 9912, 4808, 20206, 6819, 1655, 2853, 585, 3811, 18789, 3785, 1384, 272, 269, 2598, 6618, 5295, 4675, 15533, 281, 24344, 960, 2127, 27507, 540, 5122, 10898, 676, 5248, 908, 5547, 2736, 619, 610, 535, 4926, 5532, 547, 1312, 2025, 543, 1007, 3937, 269, 4762, 3305, 9000, 540, 6453, 1210, 1617, 12281, 1991, 547, 27510, 8261, 1951, 1456, 5773, 563, 273, 269, 1744, 583, 5510, 4826, 4406, 1407, 281, 19171, 3119, 9505, 4752, 17901, 17479, 11105, 547, 2707, 3049, 3515, 23478, 4411, 1216, 3403, 28339, 269, 667, 1778, 15895, 9115, 9001, 8904, 12775, 2553, 29979, 676, 25581, 6802, 6351, 952, 2556, 563, 274, 269, 667, 1143, 656, 548, 1401, 12371, 16811, 281, 28392, 1033, 778, 8220, 18787, 3728, 2287, 6981, 543, 9688, 16788, 2059, 609, 973, 597, 27218, 17787, 512, 9220, 1042, 547, 11105, 21818, 5121, 269, 9484, 26147, 14910, 13811, 1740, 2165, 3215, 693, 8122, 1467, 608, 1080, 1354, 9427, 20387, 23049, 12979, 1681, 1884, 1172, 730, 8800, 563, 275, 269, 16259, 13505, 17148, 281, 5426, 2666, 7252, 9944, 6069, 6753, 543, 5150, 8242, 8800, 20170, 547, 5227, 24999, 7109, 1734, 11311, 676, 9755, 262, 16551, 563, 276, 269, 1306, 14517, 22490, 22627, 281, 1325, 793, 1007, 3457, 2687, 547, 17888, 12972, 10873, 15095, 609, 4540, 5989, 269, 5900, 778, 7222, 9769, 10808, 3413, 30480, 8465, 554, 4680, 16046, 28448, 8704, 1216, 7127, 2798, 563, 277, 269, 2920, 10675, 15379, 27989, 281, 26431, 32543, 28558, 1379, 2959, 7175, 19027, 11974, 30260, 16856, 15364, 10092, 21986, 532, 6198, 882, 904, 267, 17176, 267, 8596, 267, 543, 1852, 13838, 563, 278, 269, 4530, 7358, 1049, 7167, 3809, 281, 9024, 5573, 18615, 1449, 8255, 24482, 2810, 4452, 1213, 906, 1138, 6819, 4890, 3593, 13668, 2394, 5551, 2837, 1305, 9557, 24644, 9846, 780, 1103, 3932, 267, 13215, 519, 1148, 540, 13868, 1216, 28909, 16877, 4199, 995, 1688, 2096, 523, 5275, 1582, 3146, 2993, 656, 3435, 9624, 2479, 2987, 920, 2084, 1570, 3790, 543, 4074, 22520, 1028, 9430, 4207, 6990, 269, 20331, 609, 22111, 16097, 1163, 15903, 23954, 267, 18390, 7832, 593, 16180, 14785, 18129, 25167, 676, 15398, 4656, 267, 8476, 6791, 267, 543, 32344, 8207, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12850, 1261, 831, 12305, 566, 267, 29766, 543, 1234, 10293, 538, 23885, 267, 9049, 476, 4375, 272, 1015, 454, 16485, 827, 23893, 4303, 12305, 566, 454, 2710, 596, 917, 950, 707, 1216, 22865, 1062, 814, 547, 581, 8719, 3079, 540, 6378, 286, 589, 1134, 268, 651, 696, 1216, 22865, 11129, 547, 3335, 2063, 1063, 476, 279, 543, 4557, 1296, 269, 3509, 3063, 3334, 666, 3310, 519, 3259, 540, 942, 596, 723, 513, 2324, 1216, 22865, 267, 2705, 7928, 2638, 15564, 616, 2838, 547, 2226, 519, 1062, 596, 8072, 557, 1185, 585, 811, 982, 476, 279, 1296, 18019, 563, 1410, 3031, 1746, 4191, 540, 15059, 267, 621, 949, 581, 942, 547, 5372, 707, 3636, 1216, 22865, 269, 681, 755, 630, 517, 519, 7382, 610, 538, 519, 1216, 1070, 9490, 4992, 267, 13451, 1137, 267, 610, 5821, 547, 3002, 616, 513, 1906, 540, 519, 9963, 6786, 269, 1411, 949, 3313, 519, 2085, 540, 707, 1216, 22865, 676, 3168, 909, 922, 8446, 1297, 543, 14236, 621, 269, 681, 755, 539, 1216, 267, 513, 15309, 539, 11896, 267, 610, 15309, 539, 12992, 616, 519, 1034, 6654, 23053, 563, 2252, 596, 1294, 678, 22824, 4992, 23608, 689, 707, 3905, 1216, 22865, 543, 519, 1062, 568, 4742, 4587, 269, 9453, 31925, 891, 2152, 267, 707, 3905, 1216, 22865, 786, 1256, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32764, 27516, 1299, 670, 26041, 1315, 1684, 268, 2005, 268, 7312, 1345, 1315, 1773, 17741, 1315, 1234, 680, 5217, 4826, 1261, 11596, 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, 7705, 281, 19743, 7585, 256, 594, 4862, 596, 2811, 1565, 827, 1514, 2257, 538, 1153, 269, 2334, 781, 3579, 2439, 7692, 281, 23010, 267, 621, 568, 256, 1284, 1175, 3323, 4974, 1945, 1572, 4050, 1108, 2221, 269, 1684, 596, 917, 1018, 602, 1797, 2496, 8334, 281, 670, 7825, 267, 1577, 803, 1589, 269, 6755, 1108, 4992, 899, 621, 1522, 723, 1945, 547, 798, 609, 30813, 610, 19439, 906, 585, 3983, 2623, 269, 1772, 602, 1318, 2496, 7692, 281, 8786, 267, 4010, 256, 3776, 4116, 1767, 621, 781, 519, 1353, 540, 10751, 267, 30813, 267, 543, 875, 649, 4308, 609, 1004, 945, 2736, 4031, 780, 8334, 281, 7937, 267, 594, 1294, 269, 1924, 267, 952, 2576, 2848, 1023, 1945, 267, 789, 1522, 979, 547, 21569, 1317, 540, 4050, 1108, 3652, 267, 1318, 2496, 7692, 281, 4270, 267, 4990, 540, 269, 898, 781, 811, 7294, 982, 602, 269, 1411, 1294, 267, 972, 616, 1114, 4128, 1946, 649, 6494, 1004, 547, 7890, 267, 899, 5329, 938, 2146, 2922, 610, 4543, 1004, 1451, 1732, 2081, 865, 789, 1810, 1405, 3479, 10963, 1586, 780, 8334, 281, 7937, 267, 594, 1205, 621, 1631, 269, 6145, 950, 1250, 2462, 7015, 3576, 1250, 11442, 1510, 6998, 2063, 3018, 282, 646, 1185, 547, 2161, 20994, 543, 2285, 621, 1394, 269, 2334, 5280, 1864, 1174, 1946, 2921, 8631, 1510, 10479, 3884, 1405, 8799, 780, 7692, 281, 22549, 256, 1656, 3006, 1004, 1118, 8273, 9073, 267, 899, 27560, 610, 9292, 1154, 1866, 269, 1879, 602, 4523, 267, 649, 991, 547, 1265, 4023, 2081, 547, 2232, 1346, 3527, 1247, 849, 3206, 827, 875, 547, 948, 873, 1689, 741, 2623, 780, 8334, 281, 24439, 2631, 269, 1809, 1018, 952, 2576, 8952, 8840, 519, 1482, 4341, 936, 543, 936, 1586, 286, 1548, 1131, 4050, 5505, 798, 1287, 2496, 7692, 281, 4279, 2243, 256, 1358, 1522, 1413, 883, 602, 1268, 781, 3510, 811, 5702, 910, 6148, 789, 4769, 1405, 4628, 1174, 519, 4539, 1354, 267, 610, 5310, 789, 991, 3063, 1489, 547, 3247, 18110, 519, 25213, 269, 1635, 6313, 3123, 543, 2360, 267, 4050, 5505, 666, 1711, 1732, 2994, 547, 2061, 2104, 2042, 780, 8334, 281, 26272, 267, 713, 568, 4241, 256, 2052, 596, 4952, 1373, 513, 4050, 6048, 543, 3843, 547, 4137, 856, 3435, 585, 1169, 2189, 2013, 2496, 7692, 281, 898, 1281, 3280, 4101, 855, 1360, 1271, 1932, 269, 4197, 1004, 543, 4466, 2081, 547, 1832, 3025, 2922, 568, 1883, 547, 2348, 2178, 2950, 1141, 3025, 7959, 6126, 543, 5150, 780, 8334, 281, 25999, 267, 7585, 256, 3767, 267, 2995, 803, 811, 827, 707, 5172, 1641, 538, 1514, 2090, 1862, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7804, 9796, 928, 568, 513, 18947, 17976, 337, 538, 595, 3234, 11659, 693, 519, 8241, 2817, 2160, 630, 3198, 308, 1040, 1261, 6585, 513, 25328, 538, 4317, 3163, 630, 290, 3234, 11659, 1070, 513, 23958, 24547, 5448, 538, 19932, 630, 30153, 1070, 513, 9457, 540, 5398, 8889, 630, 303, 32123, 5811, 1070, 543, 12854, 538, 595, 3234, 11659, 563, 297, 1783, 2027, 2478, 538, 11050, 6309, 514, 1670, 2409, 267, 11095, 543, 1272, 2275, 6847, 6309, 11659, 267, 543, 5061, 543, 6760, 563, 7712, 11836, 519, 4888, 308, 267, 26778, 814, 2919, 543, 7036, 539, 513, 1297, 540, 3450, 3292, 267, 1519, 513, 3811, 10324, 2866, 1982, 1107, 4578, 5811, 538, 853, 1092, 269, 13405, 547, 1010, 13393, 693, 519, 4888, 308, 267, 3220, 9796, 928, 729, 519, 3194, 15440, 540, 519, 15329, 550, 543, 5395, 1190, 17235, 16424, 5358, 693, 519, 8241, 4659, 540, 595, 3234, 11659, 907, 5016, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 523, 1108, 257, 607, 851, 540, 834, 24719, 13316, 1315, 595, 3234, 11659, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 1262, 19352, 532, 12254, 281, 589, 5153, 8386, 28157, 6651, 4373, 8702, 547, 713, 3102, 5850, 593, 5373, 12254, 267, 513, 2241, 2943, 14785, 2534, 602, 3340, 8766, 3937, 855, 5021, 3007, 547, 1469, 269, 901, 3391, 568, 2966, 4481, 585, 2043, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 267, 865, 5225, 1810, 1405, 5855, 952, 596, 2811, 711, 5432, 609, 1978, 2035, 610, 3527, 1107, 649, 3513, 1491, 621, 835, 1900, 693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 7170, 281, 589, 1280, 326, 13516, 15552, 781, 10020, 538, 519, 22547, 540, 519, 16368, 7276, 692, 20756, 3025, 267, 594, 4312, 1044, 3257, 930, 1382, 593, 519, 1686, 540, 519, 16368, 7276, 543, 16686, 2390, 513, 4241, 9661, 827, 835, 812, 4171, 7418, 723, 7361, 8854, 29462, 538, 13416, 3140, 6386, 269, 901, 1367, 5129, 513, 11358, 1909, 1282, 519, 24233, 1296, 540, 519, 16368, 10841, 754, 3599, 538, 519, 476, 1428, 628, 2540, 1107, 1577, 803, 2995, 596, 1010, 6909, 1650, 2439, 3383, 267, 649, 782, 917, 602, 972, 941, 1896, 1883, 2188, 602, 3366, 547, 519, 4473, 540, 519, 16368, 7276, 630, 553, 5018, 1657, 1040, 1717, 267, 1018, 1082, 1810, 1405, 8275, 568, 875, 10562, 891, 2609, 5963, 941, 267, 7064, 5631, 547, 938, 5667, 2426, 5869, 281, 631, 3326, 320, 670, 6686, 1372, 6798, 780, 300, 3326, 320, 670, 6686, 1372, 6798, 729, 711, 513, 521, 23546, 610, 513, 2489, 282, 3079, 267, 646, 6039, 607, 519, 8783, 9794, 630, 330, 14508, 264, 540, 3798, 597, 928, 1282, 519, 12081, 540, 29001, 2725, 327, 4364, 4083, 267, 849, 1634, 607, 834, 9288, 327, 4364, 519, 1230, 20960, 528, 1701, 2311, 1101, 16145, 267, 1010, 2990, 1522, 3100, 28971, 3379, 547, 1346, 8066, 2797, 1379, 269, 12846, 267, 631, 3326, 320, 670, 6686, 1372, 6798, 7307, 547, 29937, 3310, 899, 1100, 824, 9794, 1354, 1864, 267, 6038, 7700, 3648, 547, 519, 16368, 7276, 781, 2804, 1967, 543, 1514, 22122, 780, 20058, 267, 1577, 781, 2911, 827, 19715, 267, 19715, 267, 19715, 256, 8786, 267, 1373, 21825, 17479, 1063, 1614, 17407, 8197, 5280, 519, 12228, 30689, 1852, 4105, 4123, 11507, 269, 1809, 1705, 596, 2479, 1589, 827, 875, 4835, 7526, 1223, 28855, 1125, 971, 5383, 286, 2334, 781, 1141, 631, 3326, 320, 670, 6686, 1372, 6798, 2501, 883, 1404, 269, 1306, 513, 737, 14508, 267, 646, 8045, 4023, 5010, 4031, 1759, 593, 9099, 10883, 1440, 28619, 267, 4180, 602, 4914, 22278, 5433, 5150, 10647, 1870, 1369, 519, 10504, 269, 3571, 3664, 27838, 513, 6325, 10639, 585, 519, 12228, 30689, 1851, 3486, 9467, 2950, 267, 7551, 4396, 4328, 741, 17945, 936, 2629, 18302, 2798, 780, 3086, 5196, 13639, 623, 992, 612, 1107, 1247, 621, 781, 3020, 602, 519, 12228, 30689, 1185, 23773, 11439, 4229, 267, 4509, 9015, 543, 14017, 1369, 891, 16034, 2838, 811, 982, 1175, 1490, 1393, 3196, 269, 3371, 1586, 267, 631, 3326, 320, 670, 6686, 1372, 6798, 2451, 1010, 1665, 676, 5466, 7980, 262, 20494, 341, 1734, 16425, 543, 18836, 6053, 269, 1635, 30176, 5126, 267, 646, 22541, 27907, 1851, 519, 10136, 267, 7175, 873, 547, 4339, 1130, 5050, 569, 585, 741, 10504, 269, 898, 7012, 1405, 8806, 32639, 26206, 855, 849, 519, 2631, 540, 9322, 543, 3483, 1128, 2683, 676, 5515, 899, 631, 3326, 320, 670, 6686, 1372, 6798, 602, 1500, 519, 16368, 7952, 865, 3532, 780, 20175, 995, 681, 592, 619, 543, 853, 1464, 979, 1688, 2987, 11804, 267, 1318, 286, 4270, 267, 9811, 267, 855, 1256, 519, 6574, 3401, 991, 31548, 789, 666, 3972, 269, 1879, 29001, 2725, 327, 4364, 8179, 8480, 267, 646, 1419, 5828, 547, 631, 3326, 320, 670, 6686, 1372, 6798, 585, 7326, 543, 5583, 269, 4256, 8994, 2463, 9788, 519, 24536, 585, 513, 7347, 21438, 7245, 18170, 676, 2312, 3652, 543, 6042, 269, 4935, 267, 631, 3326, 320, 670, 6686, 1372, 6798, 2968, 15747, 538, 9591, 519, 5748, 540, 513, 7123, 2797, 1604, 602, 19658, 2417, 9518, 3949, 780, 3719, 7227, 267, 1934, 2501, 519, 18140, 3828, 626, 256, 6736, 7674, 29367, 267, 631, 3326, 320, 670, 6686, 1372, 6798, 5555, 8593, 856, 540, 3870, 1813, 547, 5480, 26675, 543, 729, 608, 6150, 269, 8616, 267, 1010, 9371, 5030, 593, 998, 1010, 20785, 267, 945, 5645, 4464, 1010, 5075, 540, 5126, 543, 9698, 2066, 1585, 2694, 540, 519, 9750, 16368, 7706, 269, 27355, 1405, 621, 5863, 875, 3006, 519, 1034, 9565, 2043, 616, 1346, 7555, 3297, 519, 10207, 267, 17444, 12673, 23900, 2943, 20068, 1947, 2496, 7661, 267, 3823, 16241, 18623, 5885, 519, 7276, 267, 631, 3326, 320, 670, 6686, 1372, 6798, 5128, 729, 513, 15197, 16159, 26060, 585, 1010, 1702, 540, 535, 28999, 327, 630, 26576, 545, 10883, 1440, 28619, 1040, 1261, 1031, 713, 6791, 547, 3895, 10103, 1063, 1114, 3392, 338, 543, 6803, 885, 267, 17923, 1514, 7554, 1369, 519, 24567, 10504, 269, 9747, 267, 1510, 631, 3326, 320, 670, 6686, 1372, 6798, 781, 3646, 267, 519, 3356, 4369, 543, 13784, 540, 519, 16368, 3656, 1062, 1131, 24903, 723, 3144, 3476, 547, 1020, 780, 1103, 3932, 267, 1620, 1686, 4422, 3564, 973, 1746, 3819, 5013, 543, 28868, 269, 5548, 1324, 4514, 883, 1367, 2984, 6770, 721, 6251, 547, 30230, 4771, 519, 1950, 6384, 5935, 7239, 2429, 942, 269, 1924, 1985, 942, 2576, 19528, 519, 4473, 540, 519, 16368, 7276, 267, 3314, 631, 3326, 320, 670, 6686, 1372, 6798, 1107, 519, 16618, 5869, 4171, 1764, 30172, 759, 895, 5944, 538, 519, 3045, 1023, 540, 942, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 18658, 941, 519, 3119, 2188, 602, 8329, 547, 519, 4473, 540, 519, 16368, 7276, 538, 519, 6957, 18818, 2540, 888, 272, 269, 21864, 4087, 281, 634, 16368, 7276, 729, 13883, 538, 513, 7580, 4087, 693, 519, 3444, 30030, 540, 2342, 267, 5607, 543, 4000, 267, 4758, 621, 1569, 547, 4123, 11507, 543, 1818, 621, 513, 13398, 540, 16450, 780, 273, 269, 13639, 23258, 281, 634, 12228, 30689, 1185, 513, 2178, 543, 1134, 2389, 11712, 4108, 267, 799, 4847, 873, 547, 4228, 998, 21037, 780, 274, 269, 5295, 995, 17710, 281, 634, 2038, 16368, 17710, 941, 2500, 3401, 945, 3964, 2178, 3844, 6392, 543, 4341, 540, 1876, 267, 2870, 513, 7123, 2797, 1604, 780, 275, 269, 28626, 3656, 1062, 281, 634, 1646, 540, 513, 11636, 3656, 1062, 896, 519, 12228, 30689, 3177, 6617, 543, 2813, 513, 2631, 540, 1931, 1369, 519, 10504, 780, 276, 269, 8081, 689, 3909, 5640, 281, 634, 12228, 30689, 10150, 1713, 1489, 689, 3909, 5640, 267, 945, 5129, 606, 1271, 1909, 538, 11307, 30093, 519, 10504, 781, 4341, 543, 5009, 922, 7269, 780, 277, 269, 9483, 1967, 281, 634, 12228, 30689, 941, 3811, 538, 579, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 769, 519, 14297, 10754, 540, 5507, 267, 1282, 519, 942, 950, 10348, 10906, 594, 12199, 4789, 267, 5030, 513, 8049, 7911, 3957, 6341, 269, 1261, 6068, 2469, 547, 519, 14364, 547, 4585, 4249, 267, 2523, 1346, 2854, 676, 519, 4583, 31075, 267, 6004, 269, 9956, 269, 2290, 1554, 267, 1247, 8384, 513, 2773, 540, 19151, 543, 19201, 267, 6341, 8068, 1945, 9490, 780, 257, 300, 1278, 267, 875, 666, 1079, 1004, 2887, 538, 2648, 865, 3533, 8119, 4280, 6341, 267, 7138, 1194, 269, 3571, 3993, 20493, 543, 14452, 267, 834, 17764, 267, 1250, 15210, 6341, 267, 2648, 666, 4755, 10393, 267, 1175, 899, 17500, 11495, 3010, 21579, 11432, 1229, 936, 1010, 3993, 781, 1913, 543, 4956, 547, 1451, 811, 827, 875, 1919, 960, 538, 2470, 269, 2311, 519, 2199, 5399, 267, 646, 1336, 2835, 4904, 609, 1702, 827, 2257, 269, 1261, 4121, 602, 5201, 12599, 2059, 12904, 2147, 547, 875, 4606, 2951, 1063, 1079, 1004, 538, 2648, 269, 19196, 1243, 569, 267, 646, 10443, 1753, 547, 2671, 1010, 16012, 1620, 540, 5201, 609, 3025, 780, 19602, 267, 6004, 269, 9956, 17388, 547, 9096, 1010, 5767, 1404, 269, 6184, 17508, 13351, 1864, 950, 646, 1558, 513, 17681, 8004, 1572, 15329, 320, 267, 945, 1279, 539, 547, 957, 593, 3942, 5103, 2021, 1373, 24193, 547, 798, 865, 269, 1358, 3838, 741, 6612, 585, 2984, 543, 9117, 267, 2870, 31168, 602, 5337, 1243, 519, 9661, 540, 19151, 543, 19201, 269, 1809, 4166, 2614, 267, 789, 5185, 2591, 602, 12219, 547, 15237, 873, 6306, 780, 3080, 12556, 995, 10543, 267, 1282, 513, 7088, 344, 3781, 267, 6004, 269, 9956, 6368, 6192, 1010, 20100, 896, 519, 31300, 1359, 1769, 540, 513, 23156, 12544, 3090, 540, 519, 17866, 6125, 1063, 5128, 543, 15329, 320, 269, 9741, 1705, 646, 917, 602, 519, 1360, 1985, 6640, 267, 15329, 320, 1131, 14897, 689, 1010, 1272, 11014, 1813, 547, 1200, 11231, 7365, 269, 9839, 15842, 5287, 267, 9956, 32161, 1242, 741, 7904, 7566, 2648, 1650, 883, 519, 1158, 781, 1034, 9976, 13357, 780, 9617, 899, 519, 20437, 1576, 540, 5201, 610, 519, 6727, 10880, 540, 17500, 267, 3006, 2648, 21128, 30122, 543, 8977, 338, 1175, 607, 24847, 269, 1656, 1498, 938, 12271, 949, 4090, 3320, 4158, 523, 267, 649, 1265, 24176, 6616, 602, 891, 2833, 10802, 721, 267, 3450, 3407, 4245, 827, 1312, 1272, 543, 2257, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 2690, 519, 16222, 9542, 267, 1294, 9956, 538, 11146, 630, 2452, 1040, 9956, 538, 11146, 568, 513, 476, 1960, 279, 1977, 11509, 1974, 18792, 1673, 18769, 4670, 9859, 676, 3627, 631, 5417, 523, 267, 2854, 676, 16205, 22374, 543, 31075, 8751, 17547, 335, 731, 269, 634, 4670, 20186, 606, 16494, 2648, 26035, 5473, 15329, 320, 632, 15776, 572, 1186, 630, 294, 342, 2106, 996, 623, 5306, 992, 264, 543, 31075, 5261, 9956, 630, 297, 24944, 674, 1329, 5886, 264, 1247, 646, 729, 1603, 19151, 543, 19201, 269, 11153, 3197, 616, 1759, 593, 3140, 5515, 267, 543, 1082, 540, 519, 3197, 267, 3515, 267, 543, 4729, 3457, 782, 8775, 547, 9956, 781, 4249, 780, 763, 3312, 2856, 585, 9956, 538, 11146, 3357, 547, 5496, 23116, 16205, 22374, 538, 519, 3735, 476, 2735, 271, 338, 1310, 513, 25229, 21747, 12334, 689, 1010, 5067, 2098, 778, 776, 269, 22374, 5206, 513, 8908, 5496, 2452, 799, 646, 4843, 547, 8689, 11977, 2098, 19213, 267, 799, 13631, 27813, 21662, 267, 945, 8815, 547, 1404, 15329, 320, 269, 1717, 267, 2098, 19213, 20247, 27419, 22374, 781, 5496, 2452, 543, 21534, 519, 31075, 8751, 17547, 335, 731, 547, 2087, 621, 630, 1805, 31463, 731, 781, 1101, 2101, 1967, 1185, 1044, 609, 519, 9956, 2389, 1335, 539, 1404, 25347, 322, 7949, 345, 1299, 2871, 843, 523, 560, 1716, 3657, 9232, 692, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 1849, 13831, 4886, 281, 589, 15613, 585, 4860, 1388, 1944, 12124, 8859, 625, 692, 1103, 519, 21987, 540, 519, 3540, 19727, 602, 4224, 539, 11968, 13353, 538, 476, 1960, 273, 267, 972, 7153, 513, 17105, 1719, 538, 5466, 519, 726, 697, 540, 12790, 2950, 1369, 519, 2749, 269, 901, 1974, 4718, 1585, 7341, 6322, 693, 5807, 2804, 2208, 538, 891, 2127, 267, 1519, 519, 5137, 540, 1234, 28265, 700, 6993, 269, 630, 305, 6369, 1070, 519, 5250, 540, 519, 29663, 540, 27199, 4011, 3125, 3763, 619, 630, 290, 21254, 1070, 543, 519, 10661, 540, 10480, 518, 958, 32486, 16882, 10851, 269, 3204, 21884, 2406, 267, 1813, 547, 519, 21276, 9620, 5185, 676, 519, 6237, 4346, 1282, 713, 942, 267, 1082, 540, 891, 3646, 6038, 535, 5306, 1229, 269, 7324, 519, 811, 9621, 2994, 602, 6591, 20086, 1282, 713, 5736, 729, 12440, 1646, 12544, 1523, 602, 3788, 4143, 2221 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1607, 13306, 9498, 666, 1265, 519, 2627, 1858, 267, 4320, 267, 2427, 13080, 543, 15497, 13080, 538, 1114, 4559, 540, 513, 13306, 952, 596, 917, 835, 540, 922, 4632, 7933, 574, 5014, 4882, 3278, 269, 12989, 519, 1106, 596, 666, 1265, 519, 12596, 1031, 780, 9743, 2315, 281, 7490, 3403, 2630, 513, 2582, 13306, 4756, 596, 917, 547, 1205, 519, 2418, 585, 782, 519, 824, 2439, 296, 917, 519, 1871, 585, 17041, 692, 1012, 1215, 1281, 713, 13306, 9498, 960, 2496, 1607, 13306, 9498, 2636, 596, 547, 3313, 1022, 13306, 2450, 538, 2013, 596, 917, 2901, 519, 2427, 13080, 630, 320, 1070, 3068, 15497, 630, 325, 323, 1070, 4396, 15497, 630, 338, 323, 1070, 4320, 630, 309, 264, 610, 922, 2627, 1858, 630, 306, 264, 676, 7311, 519, 1739, 12596, 1384, 1892, 1403, 2427, 13080, 630, 320, 264, 568, 2016, 1287, 912, 1892, 11730, 630, 309, 264, 815, 513, 274, 454, 1892, 17183, 1858, 630, 306, 264, 815, 476, 277, 320, 273, 454, 1892, 8131, 15497, 630, 325, 323, 264, 815, 513, 18414, 273, 454, 1892, 20348, 15497, 630, 338, 323, 264, 815, 513, 18414, 274, 454, 1892, 769, 2013, 519, 3068, 15497, 568, 1634, 1287, 912, 1892, 17121, 13080, 630, 320, 264, 815, 535, 323, 270, 18414, 273, 454, 1892, 11730, 630, 309, 264, 815, 513, 274, 454, 1892, 17183, 1858, 630, 306, 264, 815, 476, 277, 320, 273, 454, 1892, 20348, 15497, 630, 323, 264, 815, 513, 18414, 274, 454, 1892, 769, 2013, 4396, 15497, 568, 3177, 630, 338, 323, 264, 1287, 912, 1892, 17121, 13080, 630, 320, 264, 815, 521, 323, 270, 18414, 274, 454, 1892, 11730, 630, 309, 264, 815, 513, 274, 454, 1892, 17183, 1858, 630, 306, 264, 815, 476, 277, 320, 273, 454, 1892, 8131, 15497, 630, 323, 264, 815, 513, 18414, 273, 454, 1892, 1403, 519, 2627, 1858, 630, 306, 264, 568, 9138, 1287, 912, 1892, 17121, 13080, 630, 320, 264, 815, 20734, 263, 306, 270, 277, 994, 1892, 11730, 630, 309, 264, 815, 513, 274, 454, 1892, 8131, 15497, 630, 325, 323, 264, 815, 513, 18414, 273, 454, 1892, 20348, 15497, 630, 338, 323, 264, 815, 513, 18414, 274, 454, 1892, 1403, 11730, 630, 309, 264, 568, 2016, 1287, 912, 1892, 17121, 13080, 630, 320, 264, 815, 476, 274, 18414, 309, 454, 1892, 17183, 1858, 630, 306, 264, 815, 476, 277, 320, 273, 454, 1892, 8131, 15497, 630, 325, 323, 264, 815, 513, 18414, 273, 454, 1892, 20348, 15497, 630, 338, 323, 264, 815, 513, 18414, 274, 692, 763, 4559, 2139, 538, 519, 1106, 616, 281, 7085, 12281, 630, 7825, 1070, 2578, 12281, 630, 9492, 1070, 769, 2583, 630, 514, 1070, 32243, 630, 1111, 264, 543, 631, 4394, 630, 332, 1040, 7490, 4063, 602, 538, 2013, 540, 2627, 1858, 519, 4559, 616, 538, 4009, 267, 1247, 538, 11730, 789, 616, 6829, 538, 12945, 780, 1704, 4455, 267, 476, 1001, 276, 0, 258, 23423, 693, 5606, 6541, 540, 27155, 936, 13216, 5890, 11228, 692, 297, 2794, 547, 12445, 30180, 547, 3406, 692, 1012, 14497, 692, 4131, 1269, 333, 1422, 514, 1422, 301, 16859, 4131, 4399, 14090, 2715, 303, 5332, 348, 1535, 259, 581, 513, 1483, 9971, 267, 540, 4110, 1269, 333, 16859, 4131, 1269, 324, 317, 345, 259, 581, 519, 1950, 12825, 1599, 267, 1141, 1269, 345, 815, 1535, 1341, 1775, 586, 16859, 4131, 1269, 320, 1422, 514, 1422, 305, 3709, 285, 271, 31859, 10190, 1384, 7445, 1091, 1422, 3916, 3709, 343, 1422, 4118, 641, 1422, 1729, 1341, 315, 13727, 348, 1422, 2765, 11513, 14090, 2715, 303, 5332, 348, 1535, 348, 2715, 324, 3867, 320, 1990, 348, 7684, 815, 476, 271, 6911, 1012, 19577, 692, 4131, 4399, 22668, 3436, 476, 271, 16859, 3528, 519, 4214, 540, 7182, 693, 20581, 267, 649, 991, 547, 1397, 602, 972, 568, 930, 1269, 300, 1422, 514, 1422, 305, 259, 971, 602, 1384, 7445, 1091, 1535, 3436, 631, 1422, 574, 18680, 1422, 21653, 11513, 2765, 11513, 14090, 2715, 303, 5332, 348, 1535, 348, 2715, 324, 3867, 320, 1990, 348, 7684, 910, 476, 271, 348, 2999, 1422, 22668, 6911, 3719, 1384, 4399, 1091, 1422, 21653, 11513, 2765, 11513, 14090, 2715, 303, 5332, 348, 1535, 2410, 324, 3867, 320, 1990, 348, 7684, 910, 476, 271, 4151, 1269, 284, 259, 4399, 1091, 1422, 2765, 11513, 21653, 11513, 14090, 2715, 303, 5332, 348, 1535, 348, 7684, 11513, 21653, 2715, 324, 3867, 320, 1990, 348, 7684, 476, 4151, 3525, 15252, 540, 8605, 4399, 1091, 259, 1269, 284, 259, 4399, 1091, 1422, 2765, 11513, 21653, 11513, 14090, 2715, 303, 5332, 348, 1535, 348, 7684, 11513, 21653, 2715, 324, 3867, 320, 1535, 1422, 4118, 641, 1341, 1775, 513, 586, 348, 7684, 476, 4151, 4399, 1091, 259, 1269, 284, 259, 4399, 1091, 1422, 2765, 11513, 21653, 11513, 14090, 2715, 303, 5332, 348, 1535, 348, 7684, 11513, 21653, 2715, 324, 3867, 320, 1535, 348, 7684, 476, 4151, 3525, 15252, 540, 5890, 11228, 568, 3525, 15252, 540, 7464, 3487, 692, 1607, 1797, 621, 568, 6190, 547, 1265, 606, 1269, 300, 1422, 514, 1422, 305, 259, 971, 602, 1384, 4399, 1091, 1422, 2765, 11513, 21653, 11513, 14090, 2715, 303, 5332, 348, 1535, 348, 7684, 11513, 21653, 2715, 324, 3867, 320, 1535, 348, 7684, 476, 4151, 1269, 283, 259, 4399, 1091, 1422, 22668, 6911, 4131, 4399, 1091, 1422, 14090, 2715, 303, 5332, 348, 1535, 815, 1422, 8999, 3709, 329, 1422, 4118, 641, 815, 476, 271, 11892, 333, 1422, 10012, 2715, 320, 19553, 1535, 317, 329, 4151, 1141, 1269, 320, 19553, 1422, 514, 1422, 305, 259, 585, 1169, 1269, 329, 259, 538, 4399, 3553, 2715, 271, 267, 1422, 24126, 267, 562, 31859, 4131, 4399, 1091, 631, 262, 815, 1422, 2765, 476, 272, 1422, 22668, 1422, 8999, 3709, 329, 1422, 4118, 641, 815, 476, 271, 11892, 333, 1422, 21653, 2715, 320, 19553, 31859, 2171, 7747, 602, 1269, 300, 262, 1422, 613, 476, 271, 16859, 9827, 267, 585, 1169, 1269, 343, 3436, 631, 262, 259, 1384, 259, 343, 3436, 476, 271, 259, 607, 1269, 300, 262, 1422, 613, 476, 271, 6911, 2171, 723, 585, 1169, 1269, 343, 3436, 631, 262, 259, 1384, 4399, 1091, 631, 262, 259, 1269, 283, 259, 4399, 1091, 1535, 259, 4399, 1091, 1422, 548, 611, 560, 334, 663, 5228, 1422, 8096, 4399, 1091, 1422, 2765, 476, 272, 1422, 22668, 1422, 8999, 3709, 329, 1422, 4118, 641, 815, 476, 271, 11892, 333, 1422, 21653, 2715, 320, 19553, 4151, 1269, 283, 259, 4399, 1091, 1535, 259, 4399, 1091, 1422, 548, 611, 560, 334, 663, 5228, 1422, 8096, 4399, 1091, 1422, 2765, 476, 272, 1535, 1422, 8999, 3709, 329, 1422, 4118, 641, 815, 476, 271, 11892, 333, 1422, 21653, 2715, 320, 19553, 4151, 1269, 283, 259, 4399, 1091, 1422, 22668, 259, 607, 1269, 343, 1422, 2254, 815, 476, 271, 259, 2094, 1269, 343, 3436, 476, 271, 6911, 2171, 723, 602, 585, 1169, 1269, 330, 1422, 514, 1422, 301, 259, 972, 6818, 1269, 301, 17624, 1422, 514, 1422, 301, 259, 971, 602, 1384, 259, 343, 317, 330, 2999, 552, 3867, 320, 1535, 4151, 585, 782, 1269, 343, 3436, 715, 17624, 259, 676, 5890, 11228, 12358, 7149, 27155, 692, 4131, 1269, 301, 815, 1422, 14090, 1422, 10946, 2715, 301, 318, 272, 267, 1422, 24126, 267, 715, 3709, 333, 1341, 476, 272, 348, 476, 31859, 2171, 723, 585, 1169, 1269, 330, 1422, 514, 1422, 3553, 2715, 272, 267, 1422, 24126, 267, 562, 1341, 476, 272, 4151, 1384, 4399, 1091, 1535, 317, 330, 259, 1269, 283, 259, 4399, 1091, 552, 3867, 320, 1535, 4151, 585, 782, 1269, 343, 3436, 715, 259, 4399, 1091, 1422, 548, 611, 560, 334, 663, 5228, 1422, 8096, 4399, 1091, 1422, 2765, 2715, 343, 317, 330, 348, 2715, 324, 3867, 320, 1535, 348, 476, 4151, 1269, 283, 259, 4399, 1091, 476, 272, 259, 585, 782, 1269, 343, 3436, 715, 6911, 4131, 1269, 300, 815, 1422, 14090, 1422, 10946, 2715, 300, 3299, 715, 31859, 2171, 1205, 585, 1169, 1269, 343, 3436, 631, 259, 1384, 4399, 1091, 1422, 2765, 11513, 21653, 11513, 14090, 2715, 303, 5332, 348, 1535, 348, 7684, 11513, 21653, 2715, 324, 3867, 320, 1535, 348, 7684, 476, 4151, 1269, 284, 259, 4399, 1091, 1422, 2765, 11513, 21653, 11513, 8999, 3709, 329, 1422, 4118, 641, 815, 476, 271, 11892, 333, 1422, 10012, 2715, 320, 19553, 1535, 317, 329, 348, 7684, 7684, 2715, 324, 3867, 320, 1535, 348, 476, 4151, 4399, 1091, 259, 4399, 548, 259, 4399, 1091, 1422, 2765, 11513, 8999, 3709, 329, 1422, 4118, 641, 815, 476, 271, 11892, 333, 1422, 21653, 2715, 320, 19553, 1535, 317, 329, 348, 7684, 2715, 324, 3867, 320, 1535, 348, 476, 4151, 4399, 1091, 259, 1269, 284, 259, 4399, 1091, 1422, 2765, 11513, 8999, 3709, 329, 1422, 4118, 641, 815, 476, 271, 11892, 333, 1422, 10012, 11513, 21653, 2715, 320, 19553, 348, 1535, 317, 329, 348, 7684, 2715, 324, 3867, 320, 1535, 348, 476, 4151, 607, 1269, 343, 317, 329, 3436, 476, 271, 259, 2094, 1269, 343, 3436, 476, 271, 259, 4399, 1091, 259, 1269, 284, 259, 4399, 1091, 1422, 2765, 476, 272, 1535, 1422, 2765, 11513, 8999, 3709, 329, 1422, 4118, 641, 815, 476, 271, 11892, 333, 1422, 10012, 11513, 21653, 2715, 320, 19553, 348, 1535, 23373, 10012, 2715, 329, 1341, 476, 272, 348, 7684, 7684, 2715, 324, 3867, 320, 1535, 348, 476, 4151, 607, 1269, 343, 1422, 2254, 815, 476, 271, 259, 2094, 1269, 343, 3436, 476, 271, 259, 4399, 1091, 259, 1269, 284, 259, 4399, 1091, 1422, 2765, 476, 272, 1535, 1422, 8999, 3709, 329, 1422, 4118, 641, 815, 476, 271, 11892, 333, 1422, 10012, 11513, 21653, 2715, 320, 19553, 348, 1422, 2765, 2715, 343, 23373, 10012, 2715, 329, 1341, 476, 272, 348, 7684, 2715, 324, 3867, 320, 1535, 348, 7684, 476, 4151, 4399, 1091, 259, 4399, 548, 259, 4399, 1091, 1422, 2765, 476, 272, 1535, 1422, 8999, 3709, 329, 1422, 4118, 641, 815, 476, 271, 11892, 333, 1422, 21653, 2715, 320, 19553, 348, 476, 272, 259, 607, 4399, 13320, 2715, 343, 23373, 10012, 2715, 329, 1341, 476, 272, 348, 7684, 2715, 324, 3867, 320, 1535, 348, 7684, 2999, 476, 272, 259, 585, 1169, 1269, 329, 259, 538, 4399, 3553, 2715, 271, 267, 1422, 24126, 267, 562, 4151, 4399, 1091, 259, 1269, 283, 259, 4399, 1091, 1422, 22668, 6911, 7445, 4565, 2931, 13645, 259, 0, 258, 1548, 568, 519, 9386, 540, 535, 6025, 264, 815, 630, 339, 317, 273, 268, 1206, 336, 337, 1777, 25722, 270, 273, 264, 693, 512, 815, 274, 2496, 21801, 476, 1428, 267, 476, 1001, 278, 692, 259, 332, 815, 910, 476, 279, 269, 271, 4343, 277, 6911, 2971, 19247, 1384, 1607, 4164, 13011, 3830, 3081, 602, 519, 1269, 343, 259, 1871, 540, 519, 1599, 1269, 325, 259, 568, 692, 259, 343, 1422, 3847, 6025, 9368, 264, 815, 2715, 339, 8703, 273, 348, 910, 512, 1422, 6912, 346, 339, 10592, 2691, 1269, 339, 815, 476, 274, 6911, 259, 343, 1422, 3847, 263, 274, 9368, 264, 815, 2715, 274, 8703, 273, 348, 910, 476, 274, 1422, 6912, 346, 274, 348, 815, 476, 280, 910, 476, 274, 1422, 6912, 346, 274, 348, 1422, 13627, 476, 274, 269, 3199, 274, 279, 6911, 763, 12045, 568, 692, 7445, 2765, 3189, 9507, 346, 11459, 24828, 9507, 18097, 339, 3686, 815, 476, 273, 512, 910, 1422, 3847, 6025, 1422, 3847, 7268, 2765, 346, 272, 2410, 273, 348, 2715, 339, 8703, 268, 1422, 2765, 346, 272, 2410, 273, 14990, 2431, 264, 1341, 1422, 6912, 346, 339, 4153, 2431, 22491, 2691, 1269, 339, 815, 476, 274, 8961, 519, 12045, 540, 1269, 343, 259, 3587, 692, 11459, 7933, 339, 284, 273, 263, 274, 9984, 263, 274, 263, 272, 270, 273, 263, 274, 8203, 8987, 272, 270, 273, 11924, 6912, 263, 274, 4297, 12527, 268, 271, 269, 6187, 273, 273, 692, 2005, 849, 3081, 519, 1269, 344, 259, 1871, 540, 519, 1599, 568, 692, 259, 344, 1422, 3847, 6025, 9368, 264, 815, 1422, 2765, 346, 339, 2410, 273, 10592, 2691, 1269, 339, 815, 476, 273, 8961, 1269, 344, 1422, 3847, 263, 273, 9368, 264, 815, 476, 272, 6911, 763, 12045, 540, 1269, 344, 259, 568, 692, 7445, 2765, 3189, 9507, 346, 11276, 24828, 9507, 18097, 339, 3686, 815, 1422, 2765, 346, 272, 2410, 273, 348, 1422, 13627, 476, 271, 269, 276, 6911, 763, 9386, 540, 519, 1599, 568, 692, 259, 332, 815, 1422, 2765, 3189, 9507, 346, 11276, 24828, 9507, 346, 11459, 3686, 815, 1422, 2765, 3189, 2765, 3189, 9507, 346, 11276, 24828, 9507, 18097, 339, 3686, 7346, 2765, 3189, 9507, 346, 11459, 24828, 9507 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 586, 273, 3917, 272, 1040, 1403, 575, 7807, 326, 7251, 17635, 343, 267, 642, 344, 1070, 519, 1985, 24775, 1448, 593, 519, 10126, 786, 581, 630, 343, 272, 10954, 2765, 28452, 343, 2410, 326, 9574, 586, 272, 10954, 2765, 346, 11803, 2410, 326, 348, 6393, 2005, 5205, 602, 952, 575, 284, 272, 1287, 972, 616, 1100, 13591, 24775, 2798, 593, 519, 10126, 780, 4407, 972, 616, 1869, 2798, 2451, 267, 649, 786, 1491, 513, 4351, 15410, 540, 693, 1034, 476, 1789, 2798, 630, 604, 649, 1491, 1932, 1082, 1287, 649, 786, 9765, 519, 942, 3970, 1040, 1284, 786, 5173, 519, 23756, 26083, 540, 519, 15410, 267, 855, 952, 649, 1106, 513, 10126, 609, 606, 13591, 24775, 1448, 267, 1287, 649, 786, 11716, 519, 1448, 269, 634, 3804, 540, 713, 568, 547, 1118, 2386, 782, 2798, 593, 519, 20372, 540, 519, 23756, 26083, 666, 581, 24673, 883, 835, 1448, 780, 4263, 930, 1448, 950, 972, 616, 1360, 1906, 2798, 2451, 267, 621, 1223, 581, 1360, 2182, 547, 1265, 1022, 20372, 269, 1879, 602, 4523, 267, 19467, 1079, 2798, 693, 2899, 2394, 782, 6967, 2798, 723, 1044, 24673, 780, 24927, 454, 258, 514, 2850, 2999, 23605, 23995, 26501, 10030, 269, 327, 11417, 6748, 4408, 10628, 31901, 16963, 258, 3698, 710, 818, 5044, 692, 842, 562, 3248, 19066, 283, 541, 283, 842, 267, 476, 274, 9563, 642, 3248, 19066, 283, 19066, 283, 541, 283, 842, 267, 476, 274, 24257, 20735, 3248, 19066, 283, 321, 944, 285, 1642, 16963, 2260, 323, 2700, 16302, 454, 842, 546, 338, 263, 541, 283, 842, 267, 476, 274, 285, 513, 267, 818, 283, 842, 267, 476, 274, 285, 536, 264, 13634, 8873, 630, 320, 314, 271, 316, 268, 321, 314, 271, 8079, 16732, 320, 314, 271, 316, 268, 321, 314, 271, 8079, 23444, 320, 314, 272, 316, 268, 321, 314, 272, 8079, 16732, 320, 314, 272, 316, 268, 321, 314, 272, 8079, 3248, 10926, 2260, 29589, 1587, 454, 842, 524, 335, 263, 541, 283, 842, 267, 476, 274, 285, 522, 267, 818, 283, 842, 267, 476, 274, 285, 513, 267, 818, 283, 842, 267, 476, 274, 285, 536, 264, 13634, 8873, 630, 320, 314, 271, 316, 268, 334, 314, 271, 8079, 16732, 321, 314, 272, 316, 268, 334, 314, 272, 8079, 24179, 320, 314, 272, 316, 268, 334, 314, 272, 8079, 16732, 321, 314, 271, 316, 268, 334, 314, 271, 8079, 3248, 10926, 2260, 935, 557, 343, 26083, 609, 1178, 5069, 781, 11571, 454, 19066, 283, 541, 283, 842, 267, 476, 274, 9563, 669, 263, 19066, 283, 541, 283, 842, 267, 476, 274, 9563, 579, 264, 13634, 338, 677, 26086, 269, 8218, 19572, 579, 269, 754, 3890, 11850, 338, 677, 26086, 269, 8218, 3890, 266, 272, 267, 579, 269, 754, 19572, 1496, 261, 28488, 6247, 818, 283, 842, 267, 476, 274, 285, 1299, 328, 267, 1526, 818, 283, 842, 267, 476, 274, 285, 1299, 329, 264, 13634, 842, 524, 335, 341, 284, 31983, 26086, 314, 271, 3910, 1775, 267, 795, 11850, 604, 6262, 335, 341, 285, 271, 994, 8873, 7301, 3248, 604, 6262, 335, 341, 283, 271, 994, 8873, 3020, 3248, 8873, 546, 338, 26086, 314, 271, 3910, 1775, 264, 283, 1091, 26086, 314, 271, 3910, 795, 11850, 348, 11850, 19066, 283, 541, 283, 842, 267, 476, 274, 9563, 669, 3248, 1721, 17301, 1775, 284, 271, 282, 1775, 283, 340, 25915, 3890, 282, 1341, 266, 328, 264, 13634, 6112, 263, 577, 25915, 3890, 285, 272, 261, 261, 31983, 263, 577, 314, 577, 25915, 3890, 268, 273, 3910, 669, 269, 3724, 19572, 579, 5157, 8079, 285, 284, 271, 994, 577, 21014, 318, 3724, 3890, 3248, 2260, 24708, 2386, 1100, 13591, 24775, 2798, 454, 604, 263, 577, 269, 24105, 3890, 1475, 11274, 263, 1029, 326, 7251, 26086, 5157, 6012, 271, 316, 268, 577, 269, 3724, 3890, 314, 271, 3910, 579, 5157, 6012, 272, 316, 268, 577, 269, 3724, 3890, 314, 272, 316, 4297, 2525, 272, 994, 577, 4877, 2313, 318, 3724, 26086, 5157, 8079, 3248, 8679, 604, 263, 577, 25915, 3890, 285, 273, 994, 6112, 263, 577, 25915, 3890, 285, 272, 261, 261, 31983, 263, 577, 314, 577, 25915, 3890, 268, 273, 3910, 669, 269, 3724, 19572, 579, 314, 271, 8079, 285, 284, 271, 994, 577, 21014, 318, 3724, 3890, 3248, 8873, 669, 3248, 10926, 2260, 22772, 519, 1985, 1448, 593, 513, 10126, 454, 541, 283, 842, 267, 476, 274, 285, 1985, 318, 517, 26000, 8540, 263, 541, 283, 842, 267, 476, 274, 285, 513, 267, 818, 283, 842, 267, 476, 274, 285, 536, 264, 13634, 541, 283, 842, 267, 476, 273, 285, 642, 15830, 314, 271, 316, 268, 320, 314, 271, 3910, 536, 314, 272, 316, 268, 320, 314, 272, 316, 348, 3248, 842, 575, 284, 11274, 263, 1029, 326, 7251, 17635, 314, 271, 3910, 642, 314, 272, 316, 4297, 3248, 8873, 2715, 320, 314, 271, 27994, 341, 314, 271, 316, 270, 326, 267, 513, 314, 272, 27994, 341, 314, 272, 316, 270, 326, 267, 513, 314, 273, 316, 348, 3248, 10926, 842, 1292, 3890, 13634, 3930, 15311, 27675, 322, 318, 5976, 14067, 323, 1470, 263, 271, 11850, 11142, 6745, 773, 263, 271, 32007, 2260, 6358, 454, 11142, 23645, 562, 3248, 1721, 17301, 1775, 284, 271, 267, 1535, 267, 586, 282, 1775, 283, 333, 282, 1341, 266, 328, 264, 13634, 11142, 23645, 1535, 23645, 586, 3248, 341, 4877, 2313, 318, 3724, 20719, 343, 267, 586, 267, 1775, 348, 11850, 10926, 23437, 284, 19066, 283, 321, 944, 285, 263, 333, 11850, 842, 16569, 1125, 284, 333, 267, 26699, 284, 271, 3248, 6112, 17635, 25915, 3890, 285, 272, 264, 13634, 12690, 318, 3333, 28984, 17635, 269, 8218, 19572, 642, 269, 754, 3890, 11850, 1721, 17301, 1775, 284, 271, 282, 1775, 283, 341, 25915, 3890, 282, 1775, 23785, 1220, 271, 264, 13634, 2260, 339, 820, 15410, 454, 19066, 283, 541, 283, 842, 267, 476, 274, 9563, 1016, 17635, 269, 8218, 3890, 266, 328, 267, 642, 269, 8218, 3890, 266, 328, 266, 2381, 263, 1220, 271, 267, 630, 842, 264, 341, 25915, 3890, 268, 328, 4297, 3248, 2260, 22772, 23756, 26083, 454, 19066, 283, 541, 283, 842, 267, 476, 274, 9563, 524, 284, 577, 4433, 889, 11850, 604, 6262, 25915, 3890, 283, 273, 994, 11666, 826, 3248, 2260, 1372, 8541, 2798, 4849, 585, 2063, 454, 1721, 17301, 1775, 284, 271, 282, 1775, 266, 272, 283, 322, 25915, 3890, 282, 1341, 266, 328, 994, 23437, 314, 322, 5157, 6012, 273, 14963, 284, 272, 3248, 753, 4877, 2313, 318, 3724, 6262, 11850, 8679, 2260, 26303, 642, 454, 19066, 283, 541, 283, 842, 267, 476, 274, 9563, 642, 273, 3248, 1721, 263, 541, 283, 842, 267, 476, 274, 285, 513, 2433, 642, 994, 604, 263, 256, 23437, 314, 320, 314, 273, 316, 7481, 341, 273, 4877, 2313, 318, 3724, 5416, 11850, 341, 284, 341, 273, 3248, 604, 10857, 6814, 1125, 285, 341, 25915, 28829, 13634, 331, 6814, 1125, 284, 341, 25915, 3890, 3248, 327, 5306, 284, 271, 3248, 348, 3116, 454, 10030, 327, 5306, 3248, 604, 22607, 5306, 285, 280, 994, 19874, 3248, 10926, 2260, 1067, 613, 1079, 2798, 693, 2899, 454, 2260, 338, 677, 547, 2057, 18417, 26399, 609, 824, 2798, 454, 338, 677, 17635, 269, 8218, 19572, 642, 269, 754, 3890, 11850, 1721, 17301, 1775, 284, 271, 282, 1775, 266, 272, 283, 341, 25915, 3890, 282, 1341, 266, 328, 264, 13634, 2260, 9557, 476, 271, 547, 1775, 723, 1044, 24673, 454, 2260, 852, 19467, 1448, 1775, 266, 272, 454, 6112, 17635, 5157, 6012, 271, 316, 256, 284, 341, 5157, 266, 272, 6012, 271, 316, 1475, 341, 5157, 6012, 272, 316, 256, 284, 341, 5157, 266, 272, 6012, 272, 8079, 13634, 341, 5157, 24557, 10113, 318, 517, 26000, 8540, 17635, 5157, 3910, 642, 5157, 266, 272, 8079, 3248, 753, 4877, 2313, 318, 3724, 20719, 341, 5157, 3910, 642, 5157, 266, 272, 316, 348, 11850, 8679, 10926, 2260, 16059, 454, 322, 719, 24177, 20735, 25915, 3890, 24177, 27719, 333, 257, 3248, 1721, 263, 19066, 283, 541, 283, 842, 267, 476, 274, 9563, 513, 2433, 20735, 264, 13634, 322, 719, 24177, 513, 25915, 3890, 3248, 1721, 263, 541, 283, 842, 267, 476, 274, 285, 513, 328, 2433, 513, 994, 322, 719, 24177, 834, 834, 24177, 513, 328, 314, 273, 27994, 272, 3248, 322, 719, 24177, 27719, 333, 257, 3248, 8679, 348, 7531, 2467, 5889, 23717, 338, 513, 646, 22618, 649, 666, 1039, 269, 1403, 519, 15410, 814, 2798, 3262, 1472, 519, 7470, 267, 1287, 519, 23756, 26083, 786, 2693, 1152, 2270, 519, 2798, 2282, 519, 9018, 851, 540, 519, 7470, 269, 1284, 666, 1895, 519, 2798, 883, 29162, 676, 741, 3845, 689, 519, 4099, 540, 519, 7470, 780, 24927, 692, 258, 514, 2850, 2999, 23605, 23995, 26501, 10030, 269, 327, 11417, 6748, 4408, 10628, 31901, 16963, 258, 3698, 710, 818, 5044, 692, 842, 562, 3248, 19066, 283, 541, 283, 842, 267, 476, 274, 9563, 642, 3248, 19066, 283, 19066, 283, 541, 283, 842, 267, 476, 274, 24257, 20735, 3248, 19066, 1642, 16963, 2260, 323, 2700, 16302, 454, 842, 546, 338, 263, 541, 283, 842, 267, 476, 274, 285, 513, 267, 818, 283, 842, 267, 476, 274, 285, 536, 264, 13634, 8873, 630, 320, 314, 271, 316, 268, 321, 314, 271, 316, 7565, 320, 314, 271, 316, 268, 321, 314, 271, 8079, 23444, 320, 314, 272, 316, 268, 321, 314, 272, 316, 7565, 320, 314, 272, 316, 268, 321, 314, 272, 8079, 3248, 10926, 2260, 29589, 1587, 454, 842, 524, 335, 263, 541, 283, 842, 267, 476, 274, 285, 522, 267, 818, 283, 842, 267, 476, 274, 285, 513, 267, 818, 283, 842, 267, 476, 274, 285, 536, 264, 13634, 8873, 630, 320, 314, 271, 316, 268, 334, 314, 271, 316, 7565, 321, 314, 272, 316, 268, 334, 314, 272, 8079, 24179, 320, 314, 272, 316, 268, 334, 314, 272, 316, 7565, 321, 314, 271, 316, 268, 334, 314, 271, 8079, 3248, 10926, 2260, 935, 557, 343, 26083, 609, 1178, 5069, 5889, 23717, 338, 11571, 454, 19066, 283, 541, 283, 842, 267, 476, 274, 9563, 669, 263, 19066, 283, 541, 283, 842, 267, 476, 274, 9563, 579, 264, 13634, 338, 677, 26086, 269, 8218, 19572, 579, 269, 754, 3890, 11850, 338, 677, 26086, 269, 8218, 3890, 266, 272, 267, 579, 269, 754, 19572, 1496, 261, 28488, 6247, 818, 283, 842, 267, 476, 274, 285, 1299, 328, 267, 1526, 818, 283, 842, 267, 476, 274, 285, 1299, 329, 264, 13634, 842, 524, 335, 341, 284, 31983, 26086, 314, 271, 3910, 1775, 267, 795, 11850, 604, 6262, 335, 341, 285, 271, 994, 8873, 7301, 3248, 604, 6262, 335, 341, 283, 271, 994, 8873, 3020, 3248, 8873, 546, 338, 26086, 314, 271, 3910, 1775, 264, 283, 1091, 26086, 314, 271, 3910, 795, 11850, 348, 11850, 19066, 283, 541, 283, 842, 267, 476, 274, 9563, 669, 3248, 1721, 17301, 1775, 284, 271, 282, 1775, 283, 340, 25915, 3890, 282, 1341, 266, 328, 264, 13634, 6112, 263, 577, 25915, 3890, 285, 272, 261, 261, 31983, 263, 577, 314, 577, 25915, 3890, 268, 273, 3910, 669, 269, 3724, 19572, 579, 5157, 8079, 285, 284, 271, 994, 577, 21014, 318, 3724, 3890, 3248, 2260, 24708, 2386, 1100, 13591, 24775, 2798, 454, 604, 263, 577, 269, 24105, 3890, 1475, 11274, 263, 1029, 326, 7251, 26086, 5157, 6012, 271, 316, 268, 577, 269, 3724, 3890, 314, 271, 3910, 579, 5157, 6012, 272, 316, 268, 577, 269, 3724, 3890, 314, 272, 316, 4297, 2525, 272, 994, 577, 4877, 2313, 318, 3724, 26086, 5157, 8079, 3248, 8679, 604, 263, 577, 25915, 3890, 285, 273, 994, 6112, 263, 577, 25915, 3890, 285, 272, 261, 261, 31983, 263, 577, 314, 577, 25915, 3890, 268, 273, 3910, 669, 269, 3724, 19572, 579, 314, 271, 8079, 285, 284, 271, 994, 577, 21014, 318, 3724, 3890, 3248, 8873, 669, 3248, 10926, 2260, 22772, 519, 1985, 1448, 593, 513, 10126, 454, 541, 283, 842, 267, 476, 274, 285, 1985, 318, 517, 26000, 8540, 263, 541, 283, 842, 267, 476, 274, 285, 513, 267, 818, 283, 842, 267, 476, 274, 285, 536, 264, 13634, 541, 283, 842, 267, 476, 273, 285, 642, 15830, 314, 271, 316, 268, 320, 314, 271, 3910, 536, 314, 272, 316, 268, 320, 314, 272, 316, 348, 3248, 842, 575, 284, 11274, 263, 1029, 326, 7251, 17635, 314, 271, 3910, 642, 314, 272, 316, 4297, 3248, 8873, 2715, 320, 314, 271, 27994, 341, 314, 271, 316, 270, 326, 267, 513, 314, 272, 27994, 341, 314, 272, 316, 270, 326, 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 ]
[ 12207, 6258, 1215, 5253, 18748, 338, 634, 11020, 281, 26102, 476, 274, 23883, 12830, 269, 3163, 291, 2905, 269, 8158, 4728, 476, 1321, 267, 476, 1708, 274, 689, 8940, 4732, 857, 10642, 2905, 2593, 563, 29604, 268, 274, 9761, 7408, 616, 4874, 12584, 18260, 9600, 1336, 538, 3536, 899, 2030, 11041, 267, 30485, 23092, 267, 9267, 22756, 267, 543, 9761, 3165, 267, 607, 1134, 607, 538, 7110, 1106, 269, 1452, 1898, 5567, 1683, 519, 1560, 609, 1648, 267, 2087, 2295, 543, 2634, 1072, 267, 1404, 606, 1271, 1909, 538, 5075, 543, 8401, 1062, 1599, 267, 543, 2569, 6553, 563, 1607, 6221, 1323, 6827, 1537, 4675, 6123, 8187, 595, 4381, 12551, 28096, 267, 476, 13301, 271, 16936, 267, 26102, 268, 274, 26929, 4675, 2176, 11020, 267, 9839, 267, 674, 19910, 543, 769, 11987, 2657, 267, 19940, 5253, 11905, 540, 12192, 667, 267, 918, 273, 267, 543, 589, 267, 6348, 8566, 19616, 267, 476, 5197, 595, 2355, 2737, 269, 19449, 27218, 8081, 26929, 910, 476, 1789, 4032, 563, 5415, 1353, 540, 519, 2360, 540, 15060, 268, 274, 338, 593, 519, 2634, 568, 2877, 269, 6520, 5829, 31004, 23979, 630, 4456, 291, 264, 7537, 291, 568, 513, 2101, 2014, 540, 5075, 2530, 1851, 4587, 4079, 269, 5525, 2303, 602, 1004, 945, 1205, 2362, 5666, 540, 15060, 268, 274, 338, 689, 519, 3536, 789, 3548, 949, 723, 513, 2539, 1981, 540, 3384, 7537, 291, 907, 1280, 811, 1344, 593, 1426, 2959, 540, 15060, 268, 274, 9761, 563, 29604, 268, 274, 9761, 7408, 689, 1426, 666, 948, 2949, 2634, 1072, 267, 855, 621, 781, 15458, 2436, 15060, 268, 274, 8192, 9360, 666, 948, 5818, 2634, 1072, 543, 11126, 5042, 2773, 269, 634, 1977, 9839, 5948, 543, 519, 1977, 5369, 12278, 5948, 4363, 693, 2547, 476, 273, 32122, 540, 3165, 829, 3018, 630, 534, 3328, 3232, 6981, 540, 476, 14596, 268, 4335, 8406, 16501, 563, 29604, 476, 274, 11020, 5253, 910, 634, 5961, 1644, 547, 581, 2111, 547, 26102, 476, 274, 11020, 5253, 538, 519, 1739, 9433, 267, 23248, 789, 786, 666, 581, 3730, 543, 786, 2333, 707, 1702, 269, 2561, 3285, 622, 596, 585, 1818, 519, 4674, 547, 581, 2111, 547, 3643, 938, 3896, 543, 1256, 1224, 938, 4930, 269, 595, 5984, 9625, 563, 305, 7704, 16376, 1923, 590, 14403, 2355, 454, 15648, 9736, 476, 1708, 274, 269, 1635, 19396, 5080, 325, 0, 1103, 26638, 267, 3207, 4386, 538, 2789, 23040, 543, 16074, 536, 8083, 602, 1689, 1646, 958, 538, 7274, 543, 3892, 269, 9282, 2090, 2303, 602, 10867, 3965, 2640, 689, 513, 2582, 23040, 267, 1100, 960, 814, 12290, 519, 3448, 2640, 540, 1114, 562, 2355, 630, 332, 528, 940, 5288, 269, 12784, 1070, 6862, 875, 2789, 562, 2355, 1489, 3965, 2066, 519, 1554, 269, 1284, 11567, 519, 3965, 4324, 540, 513, 6640, 23040, 267, 3448, 547, 6640, 12687, 267, 543, 519, 1198, 540, 891, 11996, 593, 12784, 23040, 1599, 538, 476, 280, 18881, 29419, 630, 333, 815, 476, 1428, 1040, 5606, 1218, 15548, 538, 1079, 1369, 28175, 915, 338, 2175, 630, 29323, 730, 676, 476, 272, 268, 273, 4374, 1040, 769, 519, 13845, 9539, 777, 2783, 267, 12256, 3576, 741, 6640, 543, 12784, 562, 2355, 282, 538, 519, 654, 820, 9539, 777, 2783, 267, 12256, 941, 6854, 25805, 1282, 6640, 562, 2194, 830, 267, 855, 562, 11474, 19727, 24071, 538, 519, 12784, 269, 6969, 1142, 23040, 11320, 820, 8884, 267, 12256, 6192, 606, 32649, 3965, 4305, 267, 609, 3965, 12290, 1586, 16172, 1310, 519, 23040, 11320, 820, 8884, 269, 769, 519, 13845, 9539, 777, 2783, 267, 12256, 4951, 3965, 12802, 2066, 6640, 543, 12784, 562, 2355, 269, 769, 4334, 267, 12256, 22157, 547, 7340, 3688, 4121, 2066, 6640, 12687, 538, 519, 654, 820, 9539, 777, 2783, 269, 5047, 267, 6640, 12687, 729, 2404, 609, 513, 1713, 7771, 538, 2022, 5991, 777, 12802, 540, 3688, 4121, 538, 519, 12784, 269, 5015, 267, 1894, 1063, 23040, 3500, 2914, 1511, 2534, 630, 14684, 288, 264, 543, 3965, 9867, 2066, 562, 2355, 267, 609, 17335, 288, 2901, 711, 17782, 630, 332, 528, 940, 562, 2355, 264, 610, 9797, 17782, 630, 12898, 12158, 562, 2355, 264, 3965, 1689, 538, 519, 13845, 9539, 777, 2783, 267, 855, 11874, 17782, 12784, 3965, 1689, 538, 519, 654, 820, 9539, 777, 2783, 269, 1284, 9959, 602, 1079, 562, 2355, 829, 1554, 630, 337, 1430, 982, 835, 264, 11226, 3965, 693, 476, 280, 3275, 267, 543, 602, 1236, 6235, 519, 6640, 23040, 949, 9793, 1894, 1063, 12784, 23040, 17550, 543, 3965, 563, 21292, 281, 715, 2355, 282, 3616, 541, 894, 3965, 282, 26638, 282, 30713, 558, 333, 2762, 282, 3500, 2914, 1511, 2534, 563, 15648, 9736, 476, 1708, 272, 29021, 5549, 269, 2353, 2924, 11603, 269, 0, 12385, 24136, 2875, 1268, 553, 585, 519, 1374, 540, 2029, 10276, 327, 2331, 1565, 5054, 454, 14611, 9137, 12474, 454, 2414, 4324, 689, 519, 3533, 9750, 2039, 540, 1007, 7399, 540, 2029, 10276, 327, 2331, 2069, 267, 1153, 1949, 267, 3506, 267, 543, 3610, 991, 547, 3082, 3533, 269, 17957, 267, 519, 2115, 540, 1053, 543, 3610, 538, 513, 2029, 10276, 327, 2331, 4928, 2154, 2029, 9367, 547, 1683, 543, 2087, 5078, 4066, 269, 769, 713, 1957, 267, 649, 2832, 547, 1397, 875, 547, 1118, 519, 3318, 1702, 540, 6128, 3610, 3015, 547, 9367, 540, 4066, 543, 849, 547, 4116, 30157, 543, 27466, 525, 676, 519, 946, 540, 2875, 1268, 553, 267, 1775, 4318, 1421, 23609, 540, 18840, 20200, 673, 1053, 609, 1880, 4162, 543, 2115, 269, 1284, 723, 6394, 12007, 1239, 689, 840, 28129, 543, 538, 28129, 6128, 3610, 538, 22341, 4081, 5580, 6281, 3506, 827, 519, 4162, 543, 2115, 540, 741, 1053, 269, 1284, 723, 21845, 891, 1239, 1210, 513, 16135, 3069, 1935, 547, 17589, 7569, 540, 1053, 593, 2029, 10276, 327, 2331, 1565, 5054, 630, 15288, 4041, 338, 1040, 1284, 723, 4857, 543, 4843, 2947, 1268, 553, 267, 1142, 609, 1808, 7569, 593, 23140, 4041, 338, 267, 547, 2099, 713, 3077, 1895, 269, 1635, 10962, 713, 1935, 602, 10905, 2553, 689, 6128, 2069, 1382, 543, 689, 3593, 1995, 1382, 267, 649, 616, 2111, 547, 2099, 3593, 2516, 540, 513, 6128, 2029, 10276, 327, 2331, 1565, 1604, 538, 513, 811, 11541, 1259, 982, 729, 5892, 2009, 269, 1452, 11541, 11269, 540, 1053, 538, 22341, 4081, 5580, 6281, 3506, 1223, 581, 540, 1880, 2956, 585, 9367, 540, 2029, 10276, 327, 2331, 1565, 5054, 585, 3450, 543, 1565, 6128, 269, 634, 12191, 4843, 538, 713, 1957, 568, 22537, 547, 824, 8658, 563, 1607, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 268, 5591, 32056, 643, 2510, 476, 275, 269, 271, 4139, 17821, 269, 0, 3528, 281, 661, 684, 823, 13690, 454, 14976, 12578, 674, 1276, 338, 568, 513, 12021, 1591, 29489, 4171, 960, 593, 2960, 6565, 2281, 814, 1044, 2629, 547, 2417, 532, 938, 1699, 1620, 540, 741, 5107, 538, 10172, 267, 2860, 267, 543, 519, 12982, 3210, 563, 2026, 606, 15938, 693, 519, 2160, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 630, 21397, 10813, 1070, 674, 1276, 338, 729, 835, 540, 1614, 2021, 2921, 7998, 267, 6323, 267, 543, 6128, 5049, 269, 634, 22987, 1352, 4607, 1317, 540, 1200, 4008, 12592, 1200, 547, 14133, 538, 1200, 2090, 693, 30892, 10813, 543, 2663, 607, 513, 10927, 2875, 23134, 267, 1141, 1352, 11567, 519, 19777, 11853, 540, 9190, 26742, 1637, 269, 2701, 4682, 593, 547, 798, 513, 2022, 4777, 28118, 31776, 693, 20037, 267, 1141, 1352, 2919, 606, 1719, 538, 2960, 1591, 7350, 269, 17652, 1310, 267, 1352, 2968, 519, 1101, 4775, 12200, 4759, 538, 519, 1979, 17190, 8257, 693, 519, 2160, 540, 9628, 267, 1141, 1352, 10660, 1229, 519, 9258, 11976, 1935, 547, 1353, 519, 1909, 540, 23128, 520, 1231, 269, 9521, 519, 4464, 11976, 1935, 267, 799, 568, 1031, 547, 3095, 513, 1808, 2068, 26737, 547, 922, 4719, 4493, 267, 9258, 11976, 2708, 525, 952, 543, 875, 12889, 538, 5444, 1599, 616, 1644, 547, 513, 1808, 2068, 26737, 269, 4635, 21921, 5364, 5027, 2029, 267, 1200, 2319, 11567, 519, 2360, 540, 16220, 4573, 908, 23128, 520, 1231, 1700, 332, 1994, 7293, 3334, 540, 2960, 2281, 1700, 2421, 29780, 891, 30354, 5946, 883, 1098, 28193, 8983, 269, 1452, 8983, 2919, 4049, 28603, 531, 1025, 3563, 532, 267, 799, 729, 3254, 547, 581, 4307, 12111, 1227, 2147, 547, 519, 1480, 4524, 28603, 565, 1736, 13032, 6242, 2241, 343, 630, 292, 7034, 1040, 3414, 10319, 960, 609, 17172, 5505, 267, 674, 1276, 338, 729, 2111, 547, 6542, 602, 2147, 13592, 4611, 538, 26843, 23128, 11294, 896, 12340, 661, 7034, 269, 4173, 12316, 1935, 540, 7311, 10856, 11976, 547, 1174, 1480, 3676, 814, 1831, 3044, 2259, 538, 519, 24118, 9443, 267, 543, 814, 5280, 3173, 2697, 519, 5817, 4719, 1696, 328, 3098, 540, 1082, 1480, 15110, 4713, 563, 14976, 12578, 674, 1276, 338, 4867, 5713, 607, 519, 31929, 595, 269, 700, 766, 7615, 7905, 26495, 6501, 8426, 10334, 543, 4886, 693, 18842, 651, 325, 11839, 2160, 267, 1141, 1352, 5170, 547, 1353, 519, 6127, 602, 896, 12340, 27899, 28341, 25866, 531, 15285, 543, 1646, 267, 543, 741, 6935, 547, 4719, 3676, 540, 519, 2960, 543, 8401, 1062, 269, 2701, 814, 8036, 693, 2547, 13977, 1912, 6185, 269, 10927, 1053, 543, 835, 4627, 2022, 4777, 28118, 8593, 3298, 2429, 519, 1576, 540, 1200, 3621, 4876, 269, 2701, 814, 19017, 3875, 934, 565, 3547, 936, 519, 1296, 267, 1519, 855, 711, 3908, 547, 519, 2817, 29274, 540, 3163, 538, 476, 1220, 280, 267, 700, 685, 302, 516, 5451, 331, 268, 7419, 18739, 8366, 538, 476, 1001, 271, 267, 519, 4728, 540, 667, 1307, 15356, 538, 476, 1001, 273, 267, 519, 661, 269, 645, 269, 14355, 15356, 689, 519, 1977, 5980, 540, 8426, 10334, 538, 476, 1001, 276, 267, 543, 519, 4516, 717, 1515, 323, 1676, 4139, 13815, 538, 476, 1708, 271, 269, 2859, 5063, 267, 1352, 729, 519, 18579, 540, 519, 476, 1708, 273, 26450, 543, 715, 7614, 773, 966, 4150, 324, 13815, 538, 4437, 32441, 3163, 269, 2701, 568, 849, 513, 4759, 540, 1896, 3621, 7239, 267, 1519, 519, 4659, 540, 6925, 540, 519, 2817, 9142, 540, 7070, 630, 2793, 306, 264, 543, 519, 1977, 9142, 540, 8551, 543, 7070, 630, 8150, 3008, 1070, 543, 729, 3957, 835, 540, 519, 13780, 779, 4934, 9227, 12207, 538, 476, 2735, 276, 269, 2701, 814, 1044, 513, 20999, 24806, 6481, 4659, 630, 295, 295, 11085, 264, 15766, 1807, 2094, 476, 2735, 279, 267, 543, 6585, 8956, 776, 4387, 919, 689, 1200, 620, 2742, 544, 831, 267, 519, 2160, 540, 13325, 267, 607, 1134, 607, 689, 519, 6778, 31291, 328, 543, 1715, 3840, 2160, 12140, 540, 6925, 269, 0, 303, 8140, 5788, 476, 1428, 5412, 476, 1220, 280, 5788, 476, 273, 1295, 454, 2691, 19620, 15707, 527, 10783, 267, 538, 21373, 5633, 267, 9031, 267, 621, 729, 519, 2832, 540, 519, 3397, 320, 16679, 11565, 585, 9177, 547, 946, 519, 11808, 607, 513, 18463, 585, 519, 5108, 540, 1007, 7694, 3255, 267, 519, 11865, 540, 2866, 538, 6009, 602, 941, 2877, 585, 513, 4657, 4346, 543, 519, 5137, 540, 1007, 3029, 540, 10350, 547, 2226, 543, 2149, 519, 1858, 779, 3638, 2686, 6561, 563, 5629, 891, 11808, 3785, 941, 6192, 267, 16011, 5004, 5081, 7724, 941, 9901, 609, 10747, 2104, 2994, 543, 2870, 2199, 5238, 5827, 540, 5665, 543, 4509, 519, 17468, 19506, 5656, 543, 17260, 269, 769, 10127, 574, 21171, 267, 519, 8832, 19791, 16011, 5004, 5980, 267, 16922, 540, 2199, 1870, 3401, 543, 8387, 267, 10742, 5781, 547, 1865, 1990, 11238, 267, 519, 7939, 540, 4070, 543, 824, 3344, 540, 4884, 1646, 269, 634, 5980, 267, 799, 729, 2813, 609, 519, 6351, 540, 519, 11565, 538, 476, 1960, 272, 267, 849, 2278, 2478, 543, 28352, 9283, 267, 971, 607, 519, 11865, 540, 5201, 267, 1216, 543, 19455, 563, 26222, 27013, 723, 849, 1044, 19081, 539, 547, 2847, 633, 543, 2344, 2757, 2199, 13492, 267, 971, 607, 22805, 267, 30927, 267, 3574, 8364, 1324, 610, 17576, 7723, 2504, 269, 769, 1776, 11175, 1141, 519, 11565, 5249, 267, 519, 717, 4314, 10609, 684, 11595, 543, 4317, 28054, 5980, 10905, 5726, 267, 14317, 543, 5826, 540, 519, 8498, 609, 513, 2647, 2039, 540, 1514, 3785, 269, 19833, 540, 13675, 17914, 547, 519, 1950, 5352, 4747, 585, 519, 7104, 946, 540, 519, 2146, 563, 763, 1967, 540, 891, 3646, 814, 1044, 6594, 676, 824, 2950, 269, 634, 14317, 3350, 814, 1631, 3262, 547, 824, 2694, 540, 519, 8832, 19791 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 268, 278, 1040, 2290, 540, 519, 1034, 2442, 16809, 538, 4207, 6214, 568, 12666, 1143, 799, 11063, 1367, 15698, 543, 1863, 2344, 607, 922, 3119, 10862, 269, 2201, 519, 824, 1688, 267, 11122, 32236, 568, 3622, 1634, 585, 14957, 2245, 267, 6848, 1533, 543, 6392, 269, 17616, 267, 649, 786, 1413, 693, 6436, 2919, 676, 12666, 1143, 543, 11122, 32236, 593, 5137, 540, 1533, 269, 898, 1131, 1287, 581, 4553, 676, 12666, 1143, 779, 10206, 540, 23141, 543, 1367, 15698, 8957, 11122, 32236, 779, 8561, 593, 1367, 6650, 325, 1254, 1143, 543, 991, 585, 2486, 269, 1703, 12898, 267, 649, 786, 7747, 12666, 1143, 543, 11122, 32236, 607, 2797, 16809, 543, 875, 621, 814, 7960, 936, 942, 269, 634, 1557, 786, 581, 2040, 4364, 909, 676, 513, 3932, 538, 519, 1439, 269, 634, 2474, 267, 12666, 1143, 543, 11122, 32236, 5018, 538, 713, 1557, 616, 5497, 547, 581, 24190, 547, 741, 2757, 610, 8106, 4555, 543, 4978, 269, 5272, 4661, 4843, 538, 713, 1557, 616, 5497, 547, 1489, 519, 3409, 602, 12666, 1143, 543, 11122, 32236, 616, 711, 15095, 19237, 269, 1635, 15095, 267, 594, 5921, 1373, 5812, 1510, 1022, 22195, 563, 2414, 513, 1390, 6708, 267, 519, 3069, 540, 1268, 3125, 26520, 593, 513, 8840, 1524, 543, 27792, 540, 1018, 621, 568, 547, 581, 606, 8665, 269, 5274, 2924, 267, 607, 6956, 676, 26186, 514, 267, 616, 20038, 540, 938, 4567, 607, 6198, 1480, 8069, 267, 16135, 538, 938, 4690, 538, 13190, 267, 15698, 543, 519, 5934, 1570, 11865, 1270, 15363, 547, 1118, 519, 3635, 540, 938, 8116, 1483, 543, 2009, 269, 26186, 514, 26342, 602, 519, 1480, 4690, 538, 13190, 543, 15698, 616, 711, 519, 1152, 1271, 4690, 602, 2291, 267, 855, 621, 568, 519, 4027, 540, 891, 1880, 4690, 602, 5352, 513, 1480, 1318, 1547, 769, 713, 2631, 267, 13190, 543, 15698, 616, 519, 2027, 267, 24572, 27733, 2609, 4857, 676, 26186, 514, 607, 519, 4690, 2838, 585, 29708, 8116, 269, 0, 15563, 267, 519, 3668, 540, 1697, 15569, 543, 4027, 585, 519, 6046, 2371, 666, 5732, 2014, 17672, 2179, 540, 3441, 547, 519, 1604, 543, 2486, 269, 1284, 991, 547, 1491, 5539, 585, 519, 3106, 585, 938, 1985, 454, 301, 13086, 1379, 2371, 2333, 2860, 1981, 676, 1547, 16573, 9077, 2110, 2287, 1272, 2503, 17473, 676, 1447, 982, 606, 5662, 1247, 8093, 10173, 2110, 523, 676, 476, 274, 268, 2412, 2395, 269, 634, 2860, 1981, 568, 2147, 547, 8488, 532, 30822, 11856, 676, 476, 273, 269, 276, 2395, 267, 610, 676, 513, 812, 9849, 27890, 585, 476, 279, 3108, 811, 829, 1032, 269, 1703, 814, 1152, 1044, 835, 10071, 602, 814, 12517, 4299, 519, 2860, 1981, 538, 519, 1858, 269, 4107, 2234, 8344, 7063, 270, 1372, 23411, 1142, 1032, 616, 1813, 547, 1804, 267, 29252, 5982, 2959, 563, 1805, 1681, 6046, 3653, 568, 513, 2797, 1966, 607, 1100, 835, 6499, 621, 6740, 2282, 873, 267, 865, 972, 568, 513, 15539, 827, 1141, 14599, 3653, 1058, 581, 6740, 269, 1809, 1310, 782, 519, 5383, 540, 1210, 6046, 1648, 29387, 922, 11393, 607, 6046, 2371, 12520, 1447, 982, 835, 3620, 4348, 628, 540, 3327, 8166, 3154, 3379, 547, 5755, 610, 3154, 30187, 1648, 2371, 865, 972, 568, 513, 1360, 2370, 1198, 593, 519, 1604, 269, 18972, 2713, 1985, 547, 5755, 30187, 1379, 2371, 616, 6534, 547, 2362, 5982, 13066, 982, 1346, 2713, 2282, 6046, 2371, 267, 1141, 519, 5449, 568, 5739, 547, 1480, 1072, 543, 949, 581, 3743, 585, 3679, 4764, 269, 2201, 519, 824, 1688, 13829, 593, 6046, 1648, 568, 1631, 2810, 538, 1034, 2477, 607, 6046, 26119, 946, 20879, 607, 513, 4492, 799, 568, 1336, 10876, 593, 3618, 269, 898, 568, 20522, 543, 4443, 547, 3560, 982, 824, 10173, 799, 2306, 873, 1447, 8200, 593, 3282, 543, 4914, 4492, 689, 824, 2477, 563, 301, 13086, 1379, 267, 519, 1826, 540, 1648, 602, 18795, 593, 519, 6316, 540, 8103, 779, 6574, 13922, 267, 543, 922, 4158, 652, 12194, 269, 2060, 513, 2197, 971, 607, 519, 2136, 2276, 11173, 547, 4228, 922, 2872, 267, 8027, 267, 6683, 543, 5010, 5656, 972, 568, 513, 991, 585, 811, 543, 811, 1648, 1142, 1032, 269, 17437, 1379, 568, 835, 540, 519, 1082, 2081, 519, 2136, 2276, 4991, 922, 1648, 269, 11048, 267, 621, 568, 835, 540, 519, 1034, 11786, 1797, 540, 1648, 2504, 269, 634, 1292, 6161, 609, 6046, 1648, 568, 519, 6046, 3653, 602, 568, 3812, 2059, 609, 621, 269, 634, 1761, 1072, 543, 2825, 4220, 15054, 676, 6046, 3653, 568, 1018, 5963, 1085, 4100, 930, 540, 519, 1977, 1857, 269, 4475, 267, 568, 519, 2179, 540, 1648, 3977, 676, 6046, 1379, 2371, 29387, 519, 1761, 4220, 602, 6046, 3653, 666, 723, 593, 1480, 1072, 543, 519, 1604, 286, 17437, 1379, 2371, 1058, 581, 6854, 607, 513, 1797, 540, 10451, 1648, 585, 519, 2136, 2276, 267, 2705, 267, 6283, 543, 4859, 540, 6046, 3653, 2115, 547, 11179, 581, 13761, 585, 10930, 8925, 563, 2108, 5591, 835, 538, 519, 2136, 2276, 814, 1831, 12517, 2192, 610, 814, 5747, 1317, 540, 1022, 2186, 540, 8009, 693, 513, 19742, 6046, 1379, 2030, 1848, 3081, 15608, 19258, 517, 269, 901, 568, 513, 3810, 11786, 1888, 1141, 972, 616, 1082, 20849, 8369, 269, 2368, 1004, 3494, 602, 891, 2371, 616, 1932, 5906, 547, 2291, 1247, 824, 1589, 602, 789, 616, 519, 6316, 540, 14182, 269, 1879, 7421, 621, 689, 513, 17033, 8579, 543, 10763, 29459, 267, 6046, 1648, 568, 5693, 4502, 519, 2009, 4220, 789, 10460, 563, 5331, 513, 1158, 538, 799, 6634, 540, 1004, 616, 530, 21317, 856, 1369, 3764, 1813, 547, 2367, 779, 7287, 547, 2322, 741, 544, 8632, 2065, 13821, 1354, 519, 1134, 1373, 540, 1866, 281, 713, 568, 519, 8594, 1190, 2619, 649, 3580, 581, 23072, 952, 6046, 1648, 568, 1031, 547, 6445, 519, 20704, 2451, 952, 5755, 543, 3154, 941, 711, 2139, 269, 1703, 1058, 581, 3268, 3144, 547, 1118, 621, 796, 32016, 547, 4020, 3606, 6046, 1379, 2371, 538, 519, 2136, 2276, 1317, 891, 1379, 2371, 616, 5393, 8594, 1190, 547, 938, 1604, 543, 1004, 282, 621, 779, 849, 15458, 875, 5982, 4598, 666, 1198, 1004, 538, 519, 1279, 3856, 282, 543, 972, 616, 824, 2959, 540, 1648, 602, 616, 2139, 267, 971, 607, 3859, 1648, 563, 1103, 519, 2376, 968, 301, 13086, 1648, 18370, 543, 3117, 2223, 4569, 5362, 631, 2801, 25632, 636, 23607, 519, 5294, 543, 931, 540, 6046, 1648, 269, 6969, 2469, 883, 519, 5383, 543, 11393, 267, 631, 2801, 25632, 636, 19528, 930, 5013, 827, 6046, 1648, 269, 1452, 5013, 1331, 875, 1082, 26119, 616, 538, 519, 2136, 2276, 267, 875, 1454, 1379, 789, 3132, 267, 543, 875, 789, 3132, 1379, 269, 631, 2801, 25632, 636, 2829, 602, 968, 2467, 616, 476, 10441, 5010, 6046, 1379, 2371, 538, 519, 2136, 2276, 6721, 513, 627, 25891, 476, 3199, 277, 269, 273, 570, 2662, 540, 5201, 892, 713, 729, 8938, 2600, 540, 782, 5201, 5108, 538, 519, 2475, 538, 476, 1220, 279, 269, 631, 2801, 25632, 636, 1287, 6941, 875, 6046, 1379, 568, 3812, 563, 7212, 6046, 1648, 814, 1082, 22705, 1938, 267, 972, 568, 835, 1034, 4122, 14126, 827, 1966, 609, 891, 6703, 267, 519, 8594, 540, 5982, 269, 24658, 15464, 666, 16094, 27656, 777, 1004, 267, 2831, 267, 2371, 267, 543, 609, 3983, 4598, 547, 1164, 5982, 621, 666, 2014, 2669, 269, 589, 1434, 1383, 540, 519, 12178, 540, 6046, 1648, 568, 595, 3062, 984, 2643, 269, 901, 729, 513, 1747, 538, 519, 12907, 1141, 972, 729, 513, 9252, 16411, 799, 538, 2490, 1291, 547, 513, 3595, 538, 519, 6046, 19720, 269, 901, 3812, 513, 6531, 540, 14686, 14599, 3154, 799, 568, 513, 1572, 513, 726, 2541, 269, 901, 726, 2541, 666, 1205, 883, 25825, 267, 1205, 538, 519, 4764, 4783, 267, 543, 581, 3144, 676, 4365, 782, 936, 519, 454, 4002, 5412, 476, 273, 267, 476, 3707, 273, 267, 519, 1101, 812, 13402, 6046, 19720, 6603, 2565, 640, 269, 16258, 4464, 476, 4037, 1296, 689, 602, 1554, 543, 649, 666, 1294, 6046, 1379, 1382, 543, 1646, 568, 1869, 4509, 11610, 269, 2334, 568, 1317, 519, 1761, 540, 6046, 1379, 814, 3254, 3294, 538, 4867, 5665, 1379, 2371, 269, 901, 1957, 786, 2263, 519, 1686, 543, 4282, 540, 6046, 26119, 267, 875, 621, 1568, 267, 922, 9342, 543, 12755, 267, 1247, 15700, 593, 741, 1198, 593, 519, 2136, 2276, 2221, 563, 2691, 4280, 827, 519, 1297, 540, 3742, 6046, 1379, 2371, 1034, 1004, 538, 519, 2136, 2276, 1131, 4440, 7058, 513, 899, 4557, 610, 8938, 950, 538, 4890, 640, 968, 11004, 616, 4867, 24239, 835, 20749, 5665, 6046, 1379, 2371, 609, 562, 27197, 8370, 6046, 26119, 538, 13977, 2829, 538, 519, 2136, 2276, 269, 774, 8812, 19317, 540, 891, 2371, 723, 1079, 610, 811, 26119, 1848, 263, 324, 807, 10993, 264, 769, 3013, 6046, 1379, 814, 513, 16663, 540, 1175, 2942, 2360, 1851, 891, 568, 2073, 2108, 2784, 1470, 5562, 3653, 3812, 676, 6046, 26119, 799, 2115, 547, 581, 26356, 540, 693, 513, 2922, 1747, 2094, 789, 616, 5393, 13818, 543, 666, 13451, 2234, 9911, 952, 711, 6740, 5265, 269, 6270, 2186, 540, 3653, 32307, 2234, 9911, 689, 9937, 547, 7366, 540, 1296, 269, 634, 4859, 540, 14599, 3653, 814, 1044, 2101, 4420, 331, 2940, 1188, 585, 519, 7269, 540, 6046, 454, 4407, 267, 5755, 1532, 9506, 2371, 5305, 9748, 540, 11849, 883, 519, 5790, 267, 799, 568, 513, 2014, 547, 3679, 4764, 12462, 301, 13086, 6052, 5608, 476, 1001, 276, 1040, 3958, 267, 5755, 1532, 9506, 2371, 5305, 513, 6757, 3154, 267, 799, 814, 1044, 2404, 609, 2860, 282, 32047, 267, 519, 8781, 540, 8093, 10173, 814, 1044, 8810, 547, 2014, 519, 5305, 540, 3327, 8166, 543, 2518, 8337, 12462, 301, 13086, 6052, 5608, 476, 1001, 276, 1040, 2201, 519, 824, 2427, 540, 519, 8552, 267, 6046, 2371, 723, 1044, 1634, 585, 741, 2152, 538, 519, 24694, 540, 6757, 22837, 267, 2870, 513, 1981, 540, 2800, 547, 519, 2043, 945, 2661, 1472, 519, 1858, 630, 20332, 8249, 16470, 7027, 267, 476, 1220, 278, 1040, 5047, 267, 6046, 26119, 1711, 6757, 22837, 543, 2394, 1631, 519, 4566, 585, 1279, 2165, 4859, 585, 891, 22837, 723, 711, 1044, 2813, 267, 799, 3762, 519, 2243, 540, 952, 972, 786, 2479, 581, 513, 1544, 8045, 12462, 301, 13086, 6052, 5608, 476, 1001, 276, 21663, 16503, 6233, 602, 606, 5092, 538, 513, 6046, 2030, 1522, 581, 1981, 1512, 982, 1818, 606, 5092, 609, 513, 5755, 1532, 9506, 2030, 563, 301, 13086, 1379, 568, 519, 946, 540, 13455, 6046, 31612, 267, 24590, 8444, 538, 1079, 267, 799, 13847, 1648, 538, 519, 1184, 547, 5352, 3002, 543, 5201, 269, 14333, 2813, 676, 31612, 11479, 519, 18434, 602, 5352, 5201, 269, 1879, 6046, 1379, 729, 1101, 2813, 621, 729, 10567, 602, 621, 1131, 581, 1360, 3811, 269, 898, 729, 849, 10567, 602, 6046, 1379, 1131, 581, 968, 1729, 334, 10464, 547, 11281, 2223, 602, 568, 5201, 1131, 581, 1360, 10464, 865, 2901, 6800, 1131, 711, 581, 9901, 585, 5201, 693, 782, 610, 519, 5777, 1131, 581, 1360, 1970, 630, 290, 7897, 267, 476, 1960, 278, 1040, 4014, 6046, 1379, 568, 1869, 538, 946, 2221, 519, 3355, 1967, 540, 6046, 2872, 5555, 17379, 269, 17437, 2872, 543, 922, 18793, 3409, 602, 6046, 1379, 568, 13476, 7874, 267, 20522, 267, 543, 2922, 2676, 2467, 723, 1044, 1082, 2093, 540, 875, 649, 666, 3132, 2614, 1648, 585, 519, 2551, 1510, 3542, 5024, 519, 3047, 269, 4658, 723, 6836, 1082, 1114, 2081, 547, 2445, 1648, 269, 2368, 540, 1346, 2081, 616, 281, 8093, 10173, 267, 3859, 1379, 267, 24232, 1379, 267, 543, 32394, 269, 3371, 568, 875, 6046, 1648, 1568, 267, 5294, 267, 931, 543, 930, 5013, 827, 6046, 1648, 563, 303, 3326, 1081, 568, 1776, 1888, 609, 1312, 5294, 543, 931, 269, 26187, 559, 10173, 5305, 5739, 14107, 883, 519, 2011, 971, 607, 3327, 8166, 543, 16247, 8166, 269, 17437, 1379, 1281, 711, 5305, 1022, 540, 1346, 13802, 883, 519, 5790, 269, 1717, 267, 513, 5533, 1966, 609, 6046, 1648, 568, 8143, 5533, 267, 1141, 513, 2030, 779, 968, 14653, 2498, 1663, 757, 892, 616, 2322, 883, 513, 7404, 1560, 540, 1216, 267, 543, 6318, 519, 2837, 676, 513, 1507, 2179, 855, 2614, 547, 2014, 513, 19717, 538, 519, 5117, 540, 519, 10720, 610, 13111, 269, 11048, 267, 713, 1223, 3362, 581, 12193, 676, 9023, 519, 2498, 1663, 757, 1354, 16089, 873, 883, 519, 1216, 269, 634, 824, 1966, 6849, 6046, 1648, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 4351, 454, 5814, 2979, 692, 258, 574, 921, 618, 476, 273, 291, 8900, 1592, 454, 258, 1592, 17342, 2639, 258, 585, 1775, 538, 2039, 263, 1015, 2187, 672, 1948, 1007, 17342, 2639, 672, 1948, 585, 1775, 538, 2039, 263, 1015, 2187, 2018, 1948, 1007, 6910, 263, 14085, 994, 672, 1948, 1592, 6910, 28956, 2020, 5035, 22532, 1384, 22592, 6449, 8181, 9191, 1345, 267, 6358, 267, 16059, 267, 328, 267, 331, 9707, 19617, 20189, 267, 327, 267, 334, 2187, 453, 19677, 269, 6358, 815, 3403, 454, 453, 19677, 19544, 5200, 284, 20886, 14085, 585, 9041, 538, 2039, 22607, 13580, 585, 9041, 538, 2039, 10857, 9707, 19617, 20189, 22708, 453, 19677, 269, 20479, 815, 3977, 454, 453, 19677, 269, 16059, 17342, 14085, 30297, 334, 454, 453, 19677, 8542, 636, 10983, 284, 328, 454, 453, 19677, 7456, 11133, 20189, 284, 331, 9707, 19617, 20189, 454, 453, 19677, 8542, 636, 20189, 284, 327, 454, 453, 19677, 8542, 636, 318, 334, 284, 334, 692, 453, 453, 342, 10983, 17342, 2639, 453, 453, 342, 20189, 17342, 314, 14085, 585, 9041, 538, 2039, 22607, 13580, 585, 9041, 538, 2039, 10857, 9707, 19617, 20189, 22708, 453, 453, 342, 318, 334, 17342, 2639, 453, 453, 342, 318, 8811, 17342, 2639, 453, 453, 342, 20189, 327, 17342, 314, 14085, 585, 9041, 538, 2039, 22607, 13580, 585, 9041, 538, 2039, 10857, 9707, 19617, 20189, 22708, 453, 453, 342, 318, 14833, 17342, 2639, 453, 19677, 269, 16753, 815, 476, 274, 258, 14048, 2557, 454, 453, 19677, 4732, 7950, 20189, 17342, 314, 14085, 585, 9041, 538, 2039, 22607, 13580, 585, 9041, 538, 2039, 10857, 9707, 19617, 20189, 22708, 453, 19677, 4732, 7950, 318, 334, 17342, 14085, 30297, 334, 692, 453, 19677, 20120, 26574, 9217, 267, 331, 9707, 19617, 20189, 267, 327, 267, 334, 994, 453, 453, 258, 1582, 269, 1721, 5320, 4590, 453, 453, 258, 1582, 269, 19587, 293, 15635, 4590, 453, 453, 258, 1582, 4732, 7950, 4590, 453, 453, 258, 1582, 269, 26303, 26574, 4590, 22592, 28219, 4311, 2187, 453, 453, 320, 815, 10581, 3488, 10065, 273, 325, 262, 260, 12690, 26509, 6134, 8987, 272, 267, 274, 4917, 453, 453, 6112, 513, 2652, 476, 271, 10778, 4848, 453, 320, 815, 10581, 3488, 10065, 273, 325, 262, 260, 12690, 26509, 6134, 8987, 272, 267, 274, 4917, 453, 16596, 513, 692, 22592, 28219, 26574, 4311, 267, 6358, 267, 331, 9707, 19617, 20189, 267, 327, 5200, 267, 16059, 2187, 453, 453, 258, 678, 284, 3488, 10065, 273, 325, 262, 260, 12690, 26509, 6134, 263, 271, 267, 272, 4917, 453, 453, 258, 1582, 9884, 10983, 815, 1496, 1345, 20120, 3890, 585, 554, 538, 2039, 9272, 22708, 453, 19677, 9884, 20189, 17342, 314, 10581, 3488, 10065, 273, 325, 262, 260, 12690, 26509, 6134, 8987, 273, 16427, 272, 4297, 585, 554, 538, 2039, 22607, 5200, 13580, 585, 1775, 538, 2039, 10857, 9707, 19617, 20189, 22708, 453, 19677, 9884, 318, 334, 815, 1496, 10581, 3488, 10065, 273, 325, 262, 260, 12690, 26509, 6134, 8987, 273, 16427, 272, 4297, 585, 554, 538, 2039, 263, 16059, 22708, 453, 19677, 9884, 318, 8811, 815, 20886, 1582, 20120, 3890, 585, 554, 538, 2039, 22607, 5200, 13580, 585, 1775, 538, 2039, 9272, 22708, 453, 453, 258, 6456, 4494, 781, 2597, 269, 3719, 2063, 4494, 568, 4448, 547, 3977, 4494, 865, 4494, 19617, 20189, 268, 272, 454, 453, 14851, 4494, 19617, 20189, 285, 272, 912, 4848, 19677, 9884, 20189, 327, 17342, 314, 1582, 20120, 3890, 585, 554, 538, 2039, 22607, 5200, 13580, 585, 1775, 538, 2039, 10857, 9707, 19617, 20189, 268, 272, 22708, 453, 19677, 9884, 318, 14833, 815, 20886, 1582, 20120, 3890, 585, 522, 538, 2039, 263, 16059, 13580, 585, 554, 538, 2039, 22607, 5200, 264, 6540, 453, 453, 258, 1820, 263, 6943, 4311, 9884, 318, 8811, 314, 271, 6012, 271, 316, 4297, 1948, 1598, 692, 22592, 585, 5320, 4311, 2187, 453, 22610, 554, 538, 2039, 4311, 8542, 636, 20189, 2187, 4848, 453, 339, 284, 271, 454, 4848, 22610, 1775, 538, 2039, 4311, 8542, 636, 10983, 2187, 15235, 453, 339, 6834, 10581, 4311, 269, 6358, 5157, 8079, 265, 15615, 4311, 9884, 318, 8811, 5157, 6012, 327, 7481, 4848, 453, 8999, 815, 476, 512, 1341, 1582, 9884, 20189, 314, 271, 6012, 327, 2639, 4848, 19677, 19544, 5200, 314, 271, 6012, 327, 316, 815, 10581, 3488, 10065, 276, 325, 262, 260, 15615, 4311, 269, 5562, 293, 15635, 4433, 636, 4297, 12467, 4848, 454, 453, 14851, 1582, 7456, 11133, 20189, 285, 272, 912, 4848, 22610, 561, 538, 2039, 4311, 7456, 11133, 20189, 2187, 15235, 22610, 554, 538, 2039, 4311, 8542, 636, 20189, 2187, 20930, 453, 339, 284, 271, 454, 20930, 22610, 533, 538, 2039, 4311, 8542, 636, 20189, 2567, 567, 1948, 335, 1797, 7173, 6456, 4494, 454, 4848, 15235, 453, 339, 23785, 10581, 4311, 19544, 5200, 314, 335, 6012, 327, 8079, 265, 15615, 4311, 9884, 20189, 327, 314, 331, 6012, 327, 7481, 20930, 453, 8999, 815, 512, 266, 1345, 9884, 20189, 314, 331, 6012, 327, 2639, 15235, 19677, 19544, 5200, 314, 331, 6012, 327, 24557, 10581, 3488, 10065, 276, 325, 262, 260, 15615, 4311, 269, 5562, 293, 15635, 4433, 636, 4297, 12467, 4848, 454, 453, 22610, 522, 538, 2039, 4311, 8542, 636, 318, 334, 2187, 4848, 453, 339, 284, 271, 454, 4848, 22610, 554, 538, 2039, 4311, 8542, 636, 20189, 2187, 15235, 453, 339, 6834, 10581, 4311, 19544, 5200, 314, 1345, 7456, 11133, 20189, 268, 272, 6012, 327, 8079, 265, 15615, 4311, 9884, 318, 14833, 314, 327, 6012, 334, 7481, 4848, 453, 8999, 815, 512, 1341, 1582, 9884, 318, 334, 314, 334, 2639, 4848, 19677, 269, 16059, 314, 334, 316, 815, 10581, 263, 1412, 10065, 276, 325, 262, 260, 15615, 4311, 269, 5562, 293, 15635, 4433, 636, 4297, 12467, 453, 453, 258, 1820, 2891, 327, 5200, 5602, 453, 453, 258, 1820, 1582, 19544, 5200, 454, 453, 453, 258, 1820, 1582, 269, 16059, 7531, 22592, 3742, 293, 15635, 4311, 267, 8999, 2187, 453, 453, 325, 15635, 815, 476, 272, 269, 271, 14370, 272, 266, 4118, 269, 10339, 4433, 636, 265, 8987, 272, 21875, 453, 16596, 30775, 692, 22592, 5470, 293, 15635, 4311, 2187, 453, 453, 8999, 284, 271, 454, 453, 22610, 1775, 538, 2039, 4311, 8542, 636, 318, 334, 2187, 4848, 453, 8999, 6834, 630, 1345, 269, 20479, 5157, 316, 268, 15615, 4311, 269, 16059, 5157, 316, 4297, 1262, 273, 454, 453, 453, 258, 1820, 9497, 8999, 270, 273, 2580, 8999, 270, 273, 994, 453, 16596, 2040, 270, 273, 692, 22592, 29178, 4311, 2187, 453, 453, 258, 322, 659, 3634, 3977, 781, 29178, 454, 453, 22610, 522, 538, 2039, 4311, 8542, 636, 318, 334, 2187, 4848, 453, 338, 14352, 1345, 269, 20479, 314, 334, 316, 268, 1345, 269, 16059, 314, 334, 8079, 265, 1345, 269, 16059, 314, 334, 316, 16732, 272, 268, 1345, 269, 16059, 314, 334, 7481, 4848, 19677, 4732, 7950, 318, 334, 314, 334, 24557, 15615, 3488, 10065, 276, 325, 262, 260, 338, 994, 453, 453, 258, 322, 659, 3634, 6456, 781, 29178, 454, 453, 22610, 561, 538, 2039, 4311, 7456, 11133, 20189, 268, 272, 16427, 272, 16427, 272, 2187, 4848, 22610, 554, 538, 2039, 4311, 8542, 636, 20189, 2187, 15235, 453, 339, 284, 271, 454, 15235, 22610, 522, 538, 2039, 4311, 8542, 636, 318, 334, 2187, 20930, 453, 339, 23785, 1345, 4732, 7950, 318, 334, 314, 334, 30297, 1345, 9884, 318, 14833, 314, 327, 6012, 334, 2639, 15235, 19677, 4732, 7950, 20189, 314, 331, 6012, 327, 24557, 15615, 3488, 10065, 276, 325, 262, 260, 630, 512, 265, 1345, 19544, 5200, 314, 331, 6012, 327, 316, 16732, 272, 268, 1345, 19544, 5200, 314, 331, 6012, 327, 8079, 3738, 12467, 15235, 14851, 1582, 7456, 11133, 20189, 285, 272, 543, 561, 11203, 1582, 7456, 11133, 20189, 268, 272, 10778, 20930, 22610, 737, 538, 2039, 4311, 8542, 636, 20189, 2187, 4848, 15235, 19677, 4732, 7950, 20189, 314, 331, 6012, 327, 316, 6834, 1582, 4732, 7950, 20189, 314, 331, 266, 272, 6012, 330, 30297, 1345, 9884, 20189, 327, 314, 331, 6012, 330, 2639, 20930, 19677, 4732, 7950, 20189, 314, 331, 6012, 327, 316, 815, 10581, 3488, 10065, 276, 325, 262, 260, 1582, 4732, 7950, 20189, 314, 331, 6012, 327, 20285, 453, 453, 258, 1820, 9497, 18406, 20189, 2580, 1345, 4732, 7950, 20189, 994, 453, 453, 258, 1820, 9497, 18406, 318, 334, 2580, 1345, 4732, 7950, 318, 334, 994, 453, 453, 258, 2132, 1582, 4732, 7950, 20189, 267, 1345, 4732, 328, 8676, 318, 334, 692, 258, 1001, 278, 476, 6344, 275, 512, 743, 514, 476, 28313, 476, 17252, 3633, 9215, 8946, 2562, 298, 27749, 454, 22592, 9337, 26574, 4311, 2187, 453, 453, 23169, 318, 334, 815, 11713, 453, 453, 23169, 20189, 815, 20886, 14085, 585, 9041, 538, 2039, 4311, 8542, 636, 20189, 13580, 585, 9041, 538, 2039, 4311, 7456, 11133, 20189, 22708, 4848, 454, 453, 453, 258, 322, 659, 3634, 530, 318, 334, 543, 530, 20189, 454, 453, 22610, 522, 538, 2039, 4311, 8542, 636, 318, 334, 2187, 4848, 453, 23169, 318, 334, 6910, 263, 15615, 3488, 10065, 275, 325, 262, 260, 263, 1345, 269, 16753, 265, 1345, 4732, 7950, 318, 334, 314, 334, 316, 21875, 4848, 19677, 9884, 318, 334, 314, 334, 316, 23785, 23169, 318, 334, 314, 334, 2639, 4848, 19677, 9884, 318, 334, 314, 334, 316, 815, 10581, 3488, 10065, 274, 325, 262, 260, 1345, 9884, 318, 334, 314, 334, 316, 12467, 453, 22610, 561, 538, 2039, 4311, 7456, 11133, 20189, 2187, 4848, 22610, 554, 538, 2039, 4311, 8542, 636, 20189, 2187, 15235, 453, 23169, 20189, 314, 331, 6012, 327, 316, 815, 10581, 3488, 10065, 275, 325, 262, 260, 263, 1345, 269, 16753, 265, 1345, 4732, 7950, 20189, 314, 331, 6012, 327, 28413, 15235, 19677, 9884, 20189, 314, 331, 6012, 327, 316, 23785, 23169, 20189, 314, 331, 6012, 327, 2639, 15235, 19677, 9884, 20189, 314, 331, 6012, 327, 316, 815, 10581, 3488, 10065, 274, 325, 262, 260, 1345, 9884, 20189, 314, 331, 6012, 327, 316, 12467, 453, 453, 258, 26303, 530, 318, 14833, 3097, 453, 22610, 554, 538, 2039, 4311, 8542, 636, 20189, 2187, 4848, 22610, 522, 538, 2039, 4311, 8542, 636, 318, 334, 2187, 15235, 453, 23169, 318, 14833, 815, 1582, 269, 16753, 16732, 1345, 269, 20479, 314, 334, 316, 268, 1345, 269, 16059, 314, 334, 8079, 265, 1345, 269, 16059, 314, 334, 316, 16732, 272, 268, 1345, 269, 16059, 314, 334, 8079, 265, 1345, 19544, 5200, 314, 1345, 7456, 11133, 20189, 268, 272, 6012, 327, 2639, 15235, 19677, 9884, 318, 14833, 314, 327, 6012, 334, 316, 23785, 15615, 3488, 10065, 275, 325, 262, 260, 23169, 318, 14833, 994, 15235, 19677, 9884, 318, 14833, 314, 327, 6012, 334, 24557, 15615, 3488, 10065, 274, 325, 262, 260, 1345, 9884, 318, 14833, 314, 327, 6012, 334, 7481, 453, 453, 258, 26303, 530, 20189, 327, 454, 453, 22610, 561, 538, 2039, 4311, 7456, 11133, 20189, 268, 273, 16427, 272, 16427, 272, 2187, 4848, 22610, 554, 538, 2039, 4311, 8542, 636, 20189, 2187, 15235, 453, 23169, 20189, 327, 815, 1582, 269, 16753, 265, 1345, 19544, 5200, 314, 331, 266, 272, 6012, 327, 316, 16732, 272, 268, 1345, 19544, 5200, 314, 331, 266, 272, 6012, 327, 8079, 265, 1345, 4732, 7950, 20189, 314, 331, 266, 272, 6012, 327, 30297, 1345, 9884, 20189, 327, 314, 331, 6012, 327, 30297, 1345, 19544, 5200, 314, 331, 6012, 327, 2639, 15235, 19677, 9884, 20189, 327, 314, 331, 6012, 327, 316, 23785, 15615, 3488, 10065, 275, 325, 262, 260, 23169, 20189, 327, 994, 15235, 19677, 9884, 20189, 327, 314, 331, 6012, 327, 24557, 15615, 3488, 10065, 274, 325, 262, 260, 1345, 9884, 20189, 327, 314, 331, 6012, 327, 7481, 453, 453, 258, 26303, 530, 318, 8811, 454, 453, 22610, 1775, 538, 2039, 4311, 8542, 636, 10983, 2187, 4848, 22610, 554, 538, 2039, 4311, 8542, 636, 20189, 2187, 15235, 453, 23169, 318, 8811, 815, 1582, 269, 16753, 265, 1345, 19544, 5200, 314, 271, 6012, 327, 316, 16732, 272, 268, 1345, 19544, 5200, 314, 271, 6012, 327, 8079, 265, 1345, 4732, 7950, 20189, 314, 271, 6012, 327, 30297, 1345, 269, 6358, 5157, 316, 28768, 15235, 19677, 9884, 318, 8811, 5157, 6012, 327, 316, 23785, 15615, 3488, 10065, 275, 325, 262, 260, 23169, 318, 8811, 994, 15235, 19677, 9884, 318, 8811, 5157, 6012, 327, 24557, 15615, 3488, 10065, 274, 325, 262, 260, 1345, 9884, 318, 8811, 5157, 6012, 327, 7481, 4848, 454, 453, 453, 258, 1820, 9497, 1575, 13768, 530, 20189, 2580, 1345, 9884, 20189, 994, 453, 453, 258, 1820, 9497, 1575, 13768, 530, 318, 334, 2580, 1345, 9884, 318, 334, 994, 453, 453, 258, 1820 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14813, 1254, 3262, 609, 17938, 4705, 2011, 568, 1134, 1634, 267, 855, 513, 1007, 1353, 814, 3254, 602, 513, 1906, 24967, 616, 6190, 585, 16326, 15244, 540, 8290, 9145, 641, 1227, 1507, 5714, 20256, 17938, 4705, 1282, 513, 1360, 2110, 942, 12732, 563, 12867, 689, 519, 2160, 540, 20944, 1156, 7921, 538, 13785, 1336, 602, 27829, 5536, 609, 519, 10775, 31265, 545, 3679, 630, 11748, 264, 3644, 666, 581, 1336, 2038, 538, 519, 1576, 540, 5046, 268, 866, 563, 10527, 5536, 649, 666, 3713, 616, 1360, 1507, 268, 1652, 982, 2947, 30562, 4394, 538, 8006, 7146, 649, 723, 1934, 7307, 547, 7001, 5536, 609, 10717, 3644, 538, 1175, 513, 1906, 24967, 2223, 1767, 1291, 2278, 2506, 23158, 23819, 331, 1495, 267, 513, 25719, 2875, 693, 519, 6280, 563, 763, 7403, 941, 1500, 609, 519, 1382, 6293, 3487, 2873, 538, 1401, 327, 4705, 5794, 630, 303, 2750, 288, 1070, 2919, 693, 27706, 543, 7025, 6925, 693, 19300, 331, 26572, 985, 6390, 9142, 267, 543, 609, 513, 4130, 1688, 18988, 6293, 1572, 519, 22165, 327, 4112, 528, 630, 23813, 1916, 1103, 519, 1353, 267, 3370, 538, 519, 4760, 14118, 27833, 543, 4033, 28614, 5164, 4926, 267, 1614, 1114, 2553, 941, 1031, 547, 2445, 519, 5439, 281, 476, 736, 3339, 24967, 282, 513, 4480, 538, 799, 1353, 5396, 13713, 3180, 741, 7362, 1310, 513, 1360, 2620, 608, 15595, 566, 282, 543, 513, 4480, 538, 799, 519, 1353, 1641, 4172, 326, 1117, 1614, 2053, 883, 519, 6293, 563, 763, 1382, 2982, 5667, 584, 29418, 602, 23472, 6383, 519, 1034, 2318, 7362, 5439, 6394, 609, 623, 2750, 288, 630, 279, 540, 476, 1839, 1070, 4553, 676, 2620, 7244, 630, 274, 540, 476, 1839, 264, 543, 2834, 7244, 630, 273, 540, 476, 1839, 1916, 10527, 7274, 540, 27829, 5536, 649, 2877, 585, 519, 1449, 729, 827, 835, 476, 1015, 2173, 11669, 628, 540, 519, 2179, 689, 17725, 2220, 629, 5439, 2877, 547, 3713, 10194, 10717, 538, 2834, 19344, 609, 19738, 2079, 2223, 1767, 7548, 17555, 4211, 18288, 744, 4802, 267, 519, 23266, 540, 623, 2750, 288, 563, 2108, 31880, 573, 20256, 602, 835, 17938, 2297, 1310, 2620, 7244, 1106, 7361, 538, 519, 1507, 28296, 267, 1141, 621, 568, 1634, 602, 519, 3644, 666, 2014, 1390, 3441, 269, 1306, 513, 1267, 267, 621, 1131, 581, 3078, 547, 2417, 1353, 519, 4681, 538, 519, 17938, 4705, 2011, 538, 6935, 547, 2068, 11144, 2223, 1352, 3773, 563, 763, 4681, 849, 6318, 519, 16548, 540, 13868, 18473, 17725, 2220, 629, 4255, 609, 10375, 543, 2653, 7362, 4255, 563, 4913, 267, 2687, 547, 744, 4802, 602, 1131, 581, 970, 1905, 565, 908, 519, 4681, 1932, 2484, 563, 2108, 32325, 585, 4974, 27829, 5536, 666, 581, 513, 1434, 1259, 540, 9148, 532, 3964, 2409, 540, 7893, 543, 5464, 5046, 268, 866, 269, 769, 2489, 267, 649, 666, 2161, 602, 2079, 540, 17938, 4705, 2011, 814, 1390, 1761, 585, 4974, 519, 3262, 540, 3968, 543, 1141, 519, 3644, 568, 538, 519, 7929, 8778, 2223, 23819, 331, 1495, 1767, 269, 0, 1692, 1419, 798, 596, 1589, 827, 1946, 707, 2780, 1522, 16154, 888, 6624, 1004, 1810, 1406, 2015, 621, 693, 782, 269, 1358, 1175, 8263, 602, 741, 2780, 568, 25768, 610, 4617, 269, 1656, 952, 789, 2461, 18822, 267, 519, 1966, 786, 4368, 3294, 593, 922, 1378, 1310, 513, 1906, 8942, 540, 1964, 691, 532, 610, 930, 824, 30076, 269, 1452, 2409, 616, 711, 2731, 2500, 543, 952, 596, 1616, 547, 917, 519, 1483, 4128, 585, 707, 26301, 1287, 1832, 2542, 563, 288, 8800, 4655, 568, 513, 1350, 3558, 1063, 519, 8800, 540, 707, 2780, 543, 621, 949, 2049, 950, 596, 2461, 3843, 547, 3888, 811, 982, 835, 1804, 1982, 610, 3926, 5196, 707, 2780, 269, 1879, 713, 4386, 267, 519, 811, 2565, 2694, 540, 707, 1062, 786, 16154, 9247, 9505, 1154, 1524, 707, 7193, 269, 1677, 4368, 713, 1966, 267, 596, 666, 2901, 796, 13318, 718, 930, 3292, 602, 596, 1810, 1406, 991, 593, 707, 2780, 610, 9337, 873, 547, 18960, 8747, 269, 1411, 666, 849, 2119, 726, 19982, 538, 7864, 3457, 883, 707, 18292, 16788, 267, 899, 952, 596, 723, 1932, 1082, 1287, 2119, 796, 680, 19982, 930, 540, 873, 563, 763, 1101, 543, 5310, 519, 1034, 1271, 3364, 596, 1058, 917, 568, 602, 7193, 338, 16154, 1317, 540, 1970, 3965, 269, 15350, 267, 610, 20433, 607, 621, 568, 6382, 1634, 267, 568, 1141, 519, 1062, 17303, 8637, 1239, 865, 602, 707, 2780, 949, 23074, 621, 2663, 1107, 799, 6087, 621, 547, 1685, 1082, 824, 4247, 269, 1403, 713, 21461, 3587, 1932, 1507, 267, 1287, 6959, 786, 2049, 543, 519, 3684, 786, 16154, 563, 1607, 568, 1946, 1082, 1004, 4363, 2348, 693, 2547, 476, 275, 16412, 540, 20433, 538, 707, 2780, 269, 2859, 610, 1447, 267, 519, 2179, 596, 1058, 723, 5673, 593, 1018, 596, 1544, 547, 798, 609, 621, 1107, 952, 596, 616, 4730, 3756, 602, 2154, 513, 2603, 540, 2230, 267, 1287, 596, 991, 811, 3965, 538, 1931, 547, 2196, 873, 1134, 269, 634, 1434, 3377, 1934, 568, 602, 596, 666, 2333, 707, 7193, 779, 20433, 676, 16459, 10548, 6486, 563, 288, 1062, 9920, 568, 513, 3301, 602, 6645, 707, 8800, 875, 621, 1058, 13789, 269, 3962, 942, 596, 1039, 513, 1007, 4062, 540, 8800, 547, 519, 2780, 267, 1287, 596, 991, 547, 3888, 922, 7222, 9920, 538, 1931, 585, 621, 547, 960, 5265, 950, 4448, 269, 1403, 713, 1184, 14543, 267, 1287, 6959, 786, 2049, 543, 519, 3684, 949, 16154, 269, 898, 779, 849, 2009, 602, 606, 22573, 9920, 949, 1291, 547, 1062, 1863, 8240, 543, 26301, 563, 763, 3070, 1934, 568, 547, 2141, 1832, 707, 10256, 8242, 269, 8281, 519, 5767, 4528, 540, 1142, 9920, 1107, 713, 786, 2327, 17356, 609, 519, 1699, 8800, 8704, 593, 707, 2780, 607, 1134, 607, 9004, 930, 6959, 689, 8345, 563, 309, 7644, 4785, 2107, 5689, 2264, 454, 1607, 568, 835, 540, 519, 1034, 1271, 1919, 596, 1590, 917, 950, 621, 2501, 547, 1946, 7193, 338, 16154, 269, 5164, 4926, 616, 9247, 1507, 3292, 602, 616, 2966, 547, 968, 17126, 892, 519, 3984, 2780, 1107, 538, 2482, 2006, 779, 2474, 267, 713, 1797, 602, 789, 1491, 1852, 540, 707, 1062, 543, 1685, 3527, 602, 1223, 581, 5906, 585, 707, 2780, 563, 22416, 2264, 267, 593, 519, 824, 1688, 267, 568, 1175, 899, 8290, 4849, 602, 789, 1810, 1406, 2154, 1480, 5872, 547, 968, 4944, 1348, 892, 2933, 269, 634, 1152, 3017, 568, 602, 789, 1810, 1406, 723, 519, 6662, 540, 31362, 707, 2780, 1107, 2864, 267, 621, 1223, 581, 1945, 607, 2241, 607, 6029, 596, 30414, 1402, 1575, 18537, 610, 28570, 532, 596, 547, 7270, 563, 22416, 2264, 2356, 4422, 32373, 539, 2394, 621, 814, 2907, 2944, 930, 3441, 547, 707, 1062, 269, 10251, 267, 713, 568, 519, 2013, 609, 1082, 11360, 539, 3755, 1107, 621, 779, 1152, 950, 789, 2119, 547, 2638, 741, 2780, 585, 8290, 602, 789, 1265, 856, 602, 621, 814, 1044, 19847, 563, 763, 3070, 1934, 568, 547, 2141, 1832, 707, 28456, 15181, 543, 8242, 693, 782, 2053, 269, 1684, 713, 676, 10992, 5781, 952, 972, 616, 1007, 3644, 8847, 2139, 543, 7311, 873, 547, 707, 1062, 563, 288, 7193, 602, 23986, 1846, 568, 6697, 547, 2348, 513, 15291, 609, 513, 1970, 6007, 1107, 972, 779, 1175, 1100, 1259, 585, 621, 547, 1599, 5265, 269, 901, 2356, 4523, 1317, 540, 25768, 11655, 267, 799, 616, 3743, 585, 5373, 856, 519, 3905, 2011, 689, 3330, 519, 3684, 543, 3579, 1919, 1524, 269, 1403, 713, 14543, 547, 4755, 267, 1287, 519, 3684, 786, 581, 8572, 547, 2196, 585, 513, 1360, 1279, 942, 2394, 621, 5555, 26301, 563, 25889, 26121, 18320, 2494, 340, 9941, 342, 4100, 454, 1607, 568, 513, 1455, 3390, 585, 1082, 3755, 1107, 835, 602, 666, 581, 3362, 15286, 952, 596, 1832, 606, 3750, 593, 782, 519, 3292, 602, 616, 4881, 538, 519, 4282, 269, 634, 1655, 1259, 547, 6895, 713, 568, 547, 5734, 11632, 12435, 266, 3201, 307, 266, 14701, 4041, 15288, 543, 1287, 4945, 17130, 15440, 269, 1411, 786, 1287, 1294, 513, 2898, 1592, 540, 3292, 1373, 2196, 676, 707, 2780, 267, 609, 741, 7222, 3965, 6165, 538, 23049, 269, 1411, 1058, 711, 723, 1932, 1082, 3292, 4881, 693, 519, 1482, 942, 1107, 952, 596, 798, 267, 1287, 713, 786, 1491, 513, 5458, 17167, 593, 707, 2780, 779, 2773, 543, 2014, 621, 547, 16154, 1419, 563, 763, 3070, 1934, 568, 547, 2141, 14827, 707, 3301, 950, 596, 616, 2944, 609, 621, 1107, 713, 786, 1450, 519, 3684, 779, 3965, 547, 2973, 3294, 909, 543, 2569, 782, 4282, 2534, 269, 901, 568, 849, 519, 1655, 1259, 547, 2327, 602, 26301, 1810, 1406, 4755, 538, 1063, 7886, 269, 0, 13202, 476, 4029, 267, 476, 1708, 273, 454, 1103, 6789, 298, 2475, 4888, 312, 8025, 5058, 454, 1432, 568, 513, 2790, 4786, 286, 634, 1480, 2634, 25601, 1454, 1732, 3388, 621, 17358, 269, 1879, 621, 2501, 547, 8357, 1944, 2035, 610, 3384, 519, 2093, 4478, 513, 1788, 267, 519, 946, 540, 513, 2247, 4786, 666, 948, 596, 11677, 1344, 1732, 269, 17610, 569, 596, 723, 4810, 519, 14784, 602, 3029, 538, 707, 2634, 1169, 942, 2093, 2095, 827, 513, 1007, 1788, 269, 1215, 547, 2322, 538, 1931, 782, 713, 602, 267, 513, 1991, 328, 267, 4667, 1271, 543, 4143, 286, 4653, 594, 1616, 547, 2911, 547, 596, 827, 2247, 7851, 267, 865, 596, 666, 2322, 1022, 1950, 1788, 610, 1523, 538, 1931, 269, 1306, 649, 1705, 609, 519, 1523, 4786, 2073, 649, 786, 849, 1294, 875, 596, 666, 1118, 707, 1378, 543, 594, 786, 1397, 596, 930, 1806, 602, 786, 948, 596, 1732, 1174, 713, 3532, 1907, 269, 12474, 6249, 10624, 1548, 568, 513, 2790, 4786, 286, 1548, 568, 513, 9650, 10934, 585, 286, 1215, 547, 1118, 513, 9650, 10934, 1900, 676, 1900, 286, 476, 277, 9669, 547, 1711, 811, 2500, 9650, 21476, 476, 274, 13088, 547, 1118, 513, 9650, 10934, 476, 275, 6201, 540, 9650, 21476, 1548, 568, 513, 2790, 4786, 286, 589, 10076, 10934, 610, 2247, 4786, 568, 513, 8642, 6041, 602, 6238, 689, 519, 5169, 540, 513, 3844, 2856, 610, 1523, 543, 602, 10953, 824, 14911, 2093, 547, 519, 1292, 835, 267, 538, 513, 21712, 1259, 543, 2429, 519, 3003, 6041, 540, 519, 6516, 269, 634, 1292, 1523, 568, 6719, 538, 519, 4099, 540, 1767, 4786, 267, 543, 519, 6281, 2093, 2404, 609, 621, 616, 5116, 1472, 621, 2234, 6053, 1547, 769, 2490, 267, 519, 6281, 2093, 666, 849, 3136, 547, 7936, 856, 883, 824, 1007, 2035, 602, 5581, 873, 2394, 789, 2347, 519, 5021, 7778, 540, 782, 540, 873, 269, 1677, 1711, 621, 267, 596, 666, 946, 519, 3898, 609, 799, 596, 1745, 1034, 6899, 267, 17161, 3330, 513, 17891, 267, 513, 2681, 3009, 585, 519, 1114, 2157, 540, 3178, 543, 5924, 2010, 540, 2093, 267, 12400, 610, 2592, 602, 2099, 891, 2093, 602, 596, 616, 3384, 538, 519, 2247, 4786, 3113, 267, 3092, 269, 634, 6662, 540, 713, 1907, 568, 547, 14650, 519, 7681, 540, 2093, 602, 1020, 519, 3844, 1523, 1547, 769, 713, 1259, 267, 621, 568, 1454, 4443, 585, 519, 2634, 547, 11677, 1344, 543, 1256, 1451, 543, 27655, 2035, 269, 9732, 1411, 949, 849, 581, 5461, 538, 891, 3308, 1870, 2645, 281, 1548, 568, 513, 717, 656, 339, 5750, 286, 1215, 547, 1711, 707, 1378, 2052, 11663, 2203, 286, 1215, 547, 4163, 856, 513, 595, 28719, 2079, 286, 1548, 568, 513, 9650, 10934, 585, 286, 634, 946, 540, 513, 2790, 4786, 2337, 13127, 371, 354, 30853, 420, 479, 490, 420, 25693, 421, 480, 362, 10524, 370, 12255, 29004, 362, 18021, 497, 547, 11677, 610, 27655, 1344, 538, 513, 1454, 4443, 1259, 1547, 898, 568, 1759, 593, 519, 8647, 540, 938, 2634, 267, 799, 568, 23553, 547, 5431, 2110, 3856, 3965, 3270, 269, 1280, 1383, 267, 950, 596, 9329, 5810, 267, 707, 2634, 27498, 621, 609, 5614, 267, 1434, 4365, 267, 3141, 267, 15211, 267, 3092, 269, 3414, 519, 18616, 540, 2093, 602, 1106, 2790, 7851, 267, 649, 616, 1362, 4328, 1344, 11617, 269, 1452, 4296, 1063, 8642, 11269, 543, 2093, 948, 721, 11677, 1344, 1732, 267, 7957, 1681, 1565, 543, 519, 6771, 540, 4555, 269, 3371, 616, 930, 4128, 602, 786, 948, 596, 1174, 1018, 513, 2247, 4786, 568, 585, 281, 898, 568, 1360, 3730, 547, 1118, 513, 6881, 540, 513, 1007, 1587, 267, 513, 1007, 1899, 540, 1870, 267, 610, 1022, 2856, 602, 596, 1616, 547, 1020 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3255, 547, 1395, 564, 1125, 741, 4408, 543, 2592, 269, 1280, 1383, 267, 789, 1522, 948, 606, 19002, 21907, 513, 13384, 11208, 4308, 609, 513, 2199, 1870, 267, 610, 1305, 909, 513, 1514, 2923, 2272, 1141, 11655, 666, 4444, 25584, 10023, 519, 19002, 781, 2012, 543, 3239, 780, 8170, 1576, 267, 972, 616, 1869, 930, 3652, 543, 6042, 1472, 782, 540, 713, 269, 1280, 1383, 267, 9845, 666, 1405, 23596, 1978, 2010, 540, 2472, 267, 899, 4568, 610, 10269, 269, 1656, 789, 991, 547, 1118, 2386, 789, 2811, 1739, 1022, 3652, 1305, 676, 741, 3506, 610, 19014, 269, 1809, 2949, 267, 891, 1007, 4031, 543, 12352, 2285, 9845, 811, 1379, 543, 8112, 950, 621, 2501, 547, 9013, 741, 1378, 4408, 267, 2592, 267, 543, 6010, 8864, 525, 780, 1103, 3932, 267, 8745, 267, 12005, 267, 543, 700, 1731, 8864, 630, 301, 6579, 264, 2924, 616, 606, 1271, 851, 540, 5026, 2528, 269, 3807, 899, 4213, 543, 28245, 267, 9845, 723, 519, 1318, 547, 1852, 875, 741, 4408, 543, 2592, 616, 1031, 269, 2060, 1007, 4031, 543, 12352, 1818, 621, 4443, 585, 9845, 547, 1395, 564, 1125, 741, 715, 6579, 2924, 267, 621, 781, 606, 3078, 942, 547, 581, 513, 2852, 19002, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12839, 308, 26465, 923, 814, 1279, 1044, 593, 519, 21282, 540, 6725, 922, 3292, 543, 9845, 267, 543, 13723, 267, 789, 3576, 513, 2462, 1900, 4464, 547, 1831, 606, 1256, 811, 3048, 622, 543, 2500, 1982, 563, 296, 993, 4278, 2683, 547, 14773, 938, 6905, 11450, 609, 7711, 641, 754, 16017, 587, 376, 20804, 1284, 616, 8149, 547, 5885, 938, 2875, 268, 987, 2280, 525, 538, 519, 2012, 267, 3239, 543, 6010, 8864, 2230, 543, 945, 1732, 547, 798, 602, 609, 982, 519, 3056, 6216, 2679, 3435, 8502, 538, 519, 2344, 587, 376, 20804, 1948, 7883, 293, 5766, 338, 1948, 301, 6579, 5649, 344, 4179, 2517, 339, 16691, 19072, 272, 342, 280, 345, 323, 299, 14269, 296, 17552, 6745, 342, 7867, 2593, 270, 308, 312, 339, 277, 336, 329, 276, 333, 341, 279, 1765, 22819, 31109, 5213, 10620, 31822, 297, 10673, 10620, 318, 12839, 308, 264, 5181, 476, 273, 267, 476, 1708, 271, 454, 4407, 519, 7521, 986, 2471, 593, 936, 3239, 543, 6010, 8864, 24416, 538, 2852, 5026, 267, 1896, 2101, 3292, 616, 3478, 6619, 540, 519, 17149, 543, 2324, 609, 1699, 2875, 268, 987, 2280, 525, 593, 875, 547, 1655, 4712, 2933, 585, 519, 2104, 563, 11767, 744, 12323, 16017, 27973, 563, 302, 12323, 16017, 27973, 2488, 2875, 268, 987, 2280, 525, 519, 4316, 547, 1174, 741, 2012, 267, 3239, 543, 6010, 8864, 630, 301, 6579, 264, 2924, 543, 4309, 3946, 6823, 6351, 689, 4966, 547, 11694, 741, 1871, 627, 328, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 11846, 1315, 8745, 267, 12005, 267, 543, 700, 1731, 8864, 630, 301, 6579, 264, 7126, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 16176, 2274, 641, 1841, 910, 634, 10555, 633, 16902, 1218, 540, 519, 13738, 681, 5190, 692, 306, 852, 682, 641, 1841, 630, 303, 656, 515, 571, 4608, 807, 1070, 1419, 5219, 547, 607, 1412, 1492, 15293, 338, 540, 519, 10239, 10086, 616, 1851, 519, 1034, 21792, 7068, 7610, 1746, 519, 6552, 543, 27726, 7823, 9832, 540, 6239, 5607, 269, 6736, 1373, 5266, 1507, 3379, 547, 824, 2462, 7314, 899, 21495, 543, 27683, 267, 891, 22539, 2831, 723, 12236, 741, 1318, 995, 1747, 593, 519, 1592, 540, 2462, 7314, 1813, 547, 741, 7415, 10122, 1983, 543, 14624, 602, 5512, 873, 547, 7639, 538, 930, 540, 519, 554, 1513, 4554, 5054, 593, 3047, 269, 901, 3184, 786, 1491, 596, 593, 513, 3460, 883, 519, 1158, 540, 6777, 682, 641, 1841, 267, 18167, 4514, 883, 741, 7350, 267, 2623, 267, 5726, 4567, 267, 543, 1761, 23079, 538, 11174, 5708, 3332, 10023, 2462, 7314, 607, 1292, 3197, 780, 296, 269, 18567, 543, 11154, 725, 692, 306, 852, 682, 641, 1841, 4865, 10058, 10359, 3270, 6353, 676, 1804, 267, 12150, 569, 8032, 3109, 9634, 1572, 887, 3553, 5052, 267, 23401, 1346, 2938, 593, 682, 641, 1841, 1107, 8754, 15980, 741, 1455, 2012, 269, 1717, 267, 7429, 741, 3979, 30980, 267, 6777, 682, 641, 1841, 8858, 513, 23198, 543, 3476, 10359, 267, 5097, 3043, 610, 12457, 880, 267, 3246, 5140, 31491, 720, 1996, 22586, 8916, 543, 6777, 10080, 269, 1452, 25151, 1689, 2681, 609, 12405, 267, 3395, 16437, 518, 1282, 5162, 3275, 585, 13471, 1996, 3665, 4411, 5210, 780, 3080, 11495, 4183, 540, 6777, 682, 641, 1841, 568, 741, 24215, 1279, 543, 1668, 1506, 2766, 267, 7893, 5176, 3368, 519, 3259, 540, 741, 4703, 269, 901, 9542, 5713, 2789, 5301, 282, 9117, 607, 513, 13326, 5351, 950, 10188, 30217, 748, 7823, 1768, 23230, 267, 28277, 1472, 741, 8188, 547, 2149, 689, 16171, 12798, 267, 543, 1256, 7674, 607, 513, 3636, 24120, 1282, 1964, 5712, 269, 3958, 267, 6777, 682, 641, 1841, 262, 533, 9155, 616, 4988, 609, 10053, 9663, 1063, 519, 23179, 21181, 267, 5356, 3063, 4027, 543, 13471, 1996, 13792, 7252, 780, 2171, 662, 532, 1063, 476, 1839, 547, 476, 4649, 13532, 267, 6777, 682, 641, 1841, 4159, 9645, 8390, 538, 2450, 4470, 2390, 4008, 543, 3148, 269, 631, 2297, 4043, 547, 581, 3677, 982, 8951, 267, 3006, 8757, 909, 547, 476, 4037, 13532, 267, 4352, 11287, 971, 7372, 15013, 568, 11212, 4686, 269, 2060, 513, 16757, 1628, 2966, 585, 1379, 2864, 982, 3432, 267, 6777, 682, 641, 1841, 7048, 811, 593, 5605, 2313, 12485, 982, 1164, 18286, 18697, 950, 10122, 780, 2862, 269, 26335, 543, 17392, 692, 12709, 547, 5111, 476, 275, 267, 1822, 547, 476, 278, 267, 4335, 2043, 267, 6777, 682, 641, 1841, 9468, 5318, 11182, 17364, 12964, 2477, 2066, 6239, 5607, 267, 1519, 3624, 267, 3127, 267, 31322, 267, 18310, 267, 9031, 267, 6576, 267, 543, 15787, 269, 1358, 4782, 14869, 267, 27726, 19527, 693, 6173, 725, 8151, 689, 476, 274, 267, 1822, 547, 476, 276, 267, 4335, 7397, 1657, 4262, 1377, 267, 1141, 1480, 2534, 568, 8766, 269, 10251, 267, 2916, 1689, 13514, 1713, 6937, 547, 741, 9249, 267, 4929, 10593, 538, 10664, 3270, 543, 2799, 13438, 547, 11975, 780, 7656, 269, 10263, 543, 17905, 692, 22069, 3202, 2831, 267, 6777, 682, 641, 1841, 2226, 1804, 1753, 9832, 547, 2327, 15792, 1426, 2200, 267, 3335, 20718, 609, 1346, 540, 824, 2818, 540, 741, 2249, 269, 4460, 532, 8513, 998, 20416, 24795, 267, 16150, 525, 267, 543, 875, 3149, 2337, 2569, 7526, 1063, 15231, 2043, 269, 3115, 3174, 4386, 1032, 15778, 267, 609, 8951, 4758, 4332, 547, 1396, 1562, 540, 835, 547, 2947, 7750, 338, 1310, 513, 32460, 1974, 540, 827, 1614, 547, 2185, 3275, 269, 10699, 338, 2611, 8200, 593, 741, 11299, 2394, 789, 3914, 7115, 693, 1472, 1079, 1296, 2025, 780, 11039, 9862, 547, 1970, 1790, 9445, 8244, 267, 6777, 682, 641, 1841, 2308, 1648, 15926, 6326, 2994, 971, 607, 8023, 5097, 593, 3552, 13265, 543, 23820, 2249, 267, 29979, 12212, 676, 4130, 11864, 267, 5017, 267, 543, 13184, 269, 3816, 1046, 2406, 267, 891, 2848, 953, 21962, 666, 20014, 9883, 909, 547, 476, 1428, 7397, 2059, 519, 9386, 543, 7914, 19794, 909, 547, 1614, 7397, 267, 7175, 873, 547, 3142, 1524, 10352, 1454, 3677, 982, 2933, 780, 4353, 269, 11094, 21073, 543, 21784, 338, 692, 8266, 539, 607, 23977, 1676, 762, 593, 519, 594, 30002, 4414, 5903, 2094, 476, 1220, 279, 267, 6777, 682, 641, 1841, 3068, 3875, 27643, 6937, 267, 5097, 7226, 2530, 4611, 689, 5599, 267, 5989, 1646, 267, 543, 9750, 6694, 2238, 269, 7313, 2286, 585, 10363, 10652, 1206, 543, 1560, 2694, 849, 8309, 3648, 547, 2551, 23229, 269, 8693, 1689, 2417, 12615, 919, 4540, 2591, 267, 19249, 2565, 5117, 3157, 543, 2810, 1480, 2914, 843, 5158, 7526, 780, 292, 742, 2176, 2509, 25137, 6777, 682, 641, 1841, 4125, 3818, 17376, 784, 539, 4485, 267, 9256, 1382, 267, 2146, 6278, 267, 1876, 11268, 267, 543, 3609, 7459, 269, 11153, 6870, 2127, 2291, 1369, 741, 2039, 2829, 267, 6462, 676, 3486, 7341, 5009, 1098, 20129, 776, 9316, 543, 4390, 2679, 269, 11048, 267, 4797, 3646, 616, 2838, 547, 2232, 5571, 6937, 543, 5150, 513, 17321, 2104, 585, 891, 15999, 21688, 1749, 780, 309, 269, 16176, 2274, 641, 1841, 538, 19565, 11470, 9085, 692, 28885, 6777, 682, 641, 1841, 607, 3844, 3197, 538, 11174, 5708, 2984, 3091, 2189, 3255, 547, 4497, 1762, 3988, 609, 9159, 6386, 10704, 1472, 7045, 267, 9814, 267, 543, 2825, 19642, 269, 1635, 10223, 519, 5898, 543, 4644, 540, 891, 5728, 633, 23766, 267, 4589, 6536, 7279, 543, 6568, 10838, 7820, 5481, 267, 11121, 873, 547, 1831, 15156, 585, 7320, 5726, 269, 6201, 540, 8037, 2835, 10023, 6777, 682, 641, 1841, 1331, 834, 763, 28438, 540, 519, 20242, 7815, 257, 676, 6742, 344, 612, 645, 3420, 267, 834, 8867, 334, 519, 16176, 2274, 16985, 257, 676, 8861, 2274, 534, 267, 543, 834, 763, 16176, 2274, 16985, 781, 8871, 1047, 257, 676, 24981, 2107, 337, 269, 30459, 4977, 6211, 1344, 543, 15386, 10853, 5615, 10597, 9423, 13597, 267, 1818, 14070, 6589, 11541, 543, 3872, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 15987, 789, 616, 5702, 1644, 547, 27683, 267, 6777, 682, 641, 1841, 1205, 741, 2012, 1813, 547, 741, 682, 16985, 6438, 19481, 9663, 269, 16176, 682, 641, 1841, 616, 23963, 3957, 607, 23202, 515, 571, 1133, 25556, 269, 634, 2012, 1133, 25556, 24865, 689, 519, 6196, 3943, 2262, 2048, 517, 576, 8730, 799, 729, 1031, 4505, 547, 4766, 782, 561, 2106, 343, 13355, 7314, 267, 1519, 6777, 682, 641, 1841, 269, 4706, 2551, 568, 7856, 936, 476, 1321, 2477, 538, 6239, 5607, 269, 9603, 547, 713, 267, 519, 6777, 682, 16985, 568, 1634, 896, 1896, 2199, 4408, 2429, 922, 2039, 563, 5141, 846, 1575, 1762, 5256, 6777, 682, 16985, 454, 15862, 17099, 281, 524, 335, 4954, 325, 749, 270, 4537, 13616, 18450, 454, 8601, 922, 1507, 2450, 267, 519, 6777, 682, 16985, 1274, 985, 922, 1747, 538, 519, 1592, 540, 2462, 7314, 267, 2523, 1813, 547, 922, 2702, 547, 6968, 1804, 10352, 269, 4256, 2597, 9832, 689, 476, 1839, 547, 476, 4649, 4846, 267, 543, 519, 3259, 689, 2212, 547, 519, 3490, 540, 922, 2766, 666, 581, 909, 547, 476, 3199, 547, 476, 5611, 4699, 269, 2368, 9038, 666, 9260, 909, 547, 476, 4037, 4846, 267, 855, 7422, 540, 971, 1804, 9038, 616, 5393, 4686, 269, 634, 6777, 682, 16985, 814, 513, 1279, 5394, 2766, 799, 2636, 621, 547, 3666, 922, 1560, 1247, 4881, 543, 16246, 593, 519, 19514, 7823, 9832, 1701, 780, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 12292, 1315, 700, 687, 267, 570, 22061, 267, 2274, 641, 1841, 267, 3092, 269, 1315, 8262, 19949, 607, 6301, 16992, 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, 1012, 5149, 281, 4985, 547, 13507, 545, 9119, 609, 5124, 543, 6641, 13695, 692, 1103, 713, 1770, 267, 649, 786, 2263, 519, 4241, 1158, 540, 12572, 6128, 1210, 5124, 543, 519, 6641, 13695, 5399, 269, 13507, 545, 6128, 568, 513, 7936, 540, 6128, 602, 9388, 609, 519, 12879, 540, 6310, 7215, 538, 12572, 1106, 269, 901, 1797, 649, 666, 960, 609, 4632, 543, 7215, 1510, 26471, 1808, 10230, 2418, 547, 873, 780, 6524, 649, 4685, 538, 267, 1577, 781 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6132, 2380, 616, 1082, 2249, 6780, 2601, 621, 2995, 721, 827, 519, 2713, 1919, 267, 896, 32143, 22986, 269, 1879, 1775, 993, 2944, 267, 519, 4544, 10641, 334, 18173, 4171, 2039, 11498, 689, 17984, 563, 307, 7434, 8047, 960, 4179, 2517, 335, 675, 5991, 644, 1235, 2593, 270, 891, 31140, 2371, 540, 5017, 267, 28111, 609, 5013, 7997, 269, 14581, 948, 22986, 27354, 910, 9341, 22986, 3119, 948, 2831, 2661, 538, 9341, 31140, 948, 5048, 12545, 2371, 267, 5885, 1007, 543, 7320, 269, 31301, 622, 31140, 6780, 529, 606, 1898, 5578, 1185, 1044, 6126, 585, 3214, 282, 31140, 31065, 781, 3119, 6780, 948, 269, 901, 3896, 1522, 948, 972, 1331, 22171, 267, 2371, 281, 811, 2601, 3119, 6780, 948, 521, 2852, 7223, 6780, 948, 1336, 563, 27650, 6780, 948, 22986, 2831, 454, 14503, 1662, 2775, 2534, 910, 12031, 1603, 2533, 4731, 904, 807, 11556, 269, 2368, 5961, 540, 22986, 3119, 6780, 948, 22986, 3662, 5013, 7997, 269, 31301, 2137, 1205, 519, 22465, 31140, 948, 910, 1152, 554, 336, 1603, 2533, 4731, 904, 807, 11556, 269, 22291, 6780, 948, 607, 519, 795, 16331, 541, 568, 513, 6093, 2185, 6106, 910, 1655, 543, 2831, 19582, 513, 2688, 1557, 256, 5808, 941, 519, 29659, 543, 1283, 1557, 5830, 723, 1044, 530, 21317, 856, 1934, 616, 519, 1004, 267, 1686, 543, 4482, 29982, 269, 18044, 2775, 2534, 910, 519, 2898, 1344, 585, 3574, 4133, 3119, 519, 2601, 4179, 281, 28928, 267, 24588, 4494, 563, 307, 7211, 4525, 1063, 519, 1259, 596, 616, 1572, 1412, 1778, 10809, 262, 1317, 782, 827, 519, 1004, 593, 741, 269, 2672, 3386, 585, 2831, 602, 948, 7005, 3440, 611, 1896, 2929, 2249, 540, 2371, 543, 2831, 2661, 538, 519, 31140, 22986, 3662, 269, 10348, 32406, 18588, 18173, 666, 596, 786, 798, 22986, 2831, 602, 2661, 538, 5045, 29891, 8087, 2829, 269, 1215, 649, 723, 1932, 1454, 6780, 948, 31140, 948, 2565, 563, 14722, 1589, 602, 1031, 547, 948, 31140, 948, 2831, 1336, 269, 14581, 948, 707, 3460, 4058, 547, 513, 1804, 267, 1519, 19796, 2967, 269, 12729, 6780, 948, 519, 5135, 602, 2661, 538, 891, 2168, 14624, 269, 2060, 2030, 543, 519, 2030, 543, 2831, 910, 476, 274, 267, 948, 22986, 269, 6733, 1022, 824, 2713, 1919, 267, 3119, 948, 6780, 948, 22986, 21044, 1770, 269, 7201, 32143, 22986, 5013, 6780, 519, 2534, 910, 1022, 824, 29068, 267, 1759, 593, 476, 2190, 6075, 8039, 689, 17984, 269, 15117, 556, 11220, 585, 1187, 19194, 267, 15496, 2371, 540, 5017, 563, 27650, 6780, 948, 22986, 454, 25582, 476, 274, 2699, 6780, 593, 519, 3119, 6780, 948, 543, 5613, 616, 3401, 269, 1677, 1174, 875, 547, 1205, 519, 32312, 22986, 538, 519, 1164, 2179, 540, 693, 679, 4925, 269, 1703, 568, 1572, 1412, 1778, 10809, 262, 1317, 31140, 910, 1317, 649, 946, 948, 910, 18747, 267, 543, 6780, 948, 22986, 269, 5808, 2661, 538, 519, 22986, 3119, 6780, 17707, 910, 562, 2727, 752, 6390, 269, 654, 732, 5264, 5638, 267, 17476, 543, 519, 32312, 22986, 3119, 6780, 948, 269, 7325, 476, 2420, 267, 1175, 585, 803, 2979, 6780, 827, 26131, 269, 10432, 476, 274, 2699, 6780, 948, 22986, 1934, 476, 272, 10097, 5777, 269, 1358, 723, 606, 7005, 1557, 1603, 15938, 3292, 544, 22585, 24588, 4494, 910, 1655, 4308, 256, 3163, 2055, 693, 2547, 4699, 1169, 1554, 2097, 689, 22986, 269, 8871, 10056, 3119, 6780, 5032, 338, 538, 519, 22465, 31140, 543, 2249, 540, 782, 2010, 540, 693, 1034, 3858, 602, 723, 269, 6435, 519, 22986, 948, 585, 9042, 22986, 6780, 948, 22986, 6780, 982, 476, 736, 3119, 22986, 6106, 256, 7325, 476, 1428, 3579, 22986, 2831, 910, 1450, 721, 547, 5581, 6093, 31140, 1114, 6106, 910, 476, 1911, 260, 3312, 267, 2249, 602, 616, 1336, 972, 269, 3503, 2165, 4574, 585, 1053, 31140, 616, 948, 1336, 2282, 519, 22986, 6106, 910, 1655, 538, 891, 269, 2368, 6351, 1934, 281, 811, 982, 476, 736, 2600, 6280, 620, 10939, 544, 17304, 269, 12810, 540, 693, 2547, 6279, 948, 4444, 6881, 269, 9737, 519, 2601, 6780, 948, 3812, 538, 269, 7201, 32143, 22986, 6106, 910, 476, 1015, 2395, 910, 1655, 10927, 960, 3119, 6780, 269, 8835, 22986, 3119, 6780, 948, 519, 22465, 31140, 3574, 4133, 616, 1336, 972, 269, 12729, 6780, 1336, 593, 3280, 7294, 476, 276, 910, 562, 2727, 752, 6390, 269, 21069, 9249, 666, 581, 4330, 607, 1082, 2831, 910, 12031, 1603, 2533, 4731, 904, 807, 11556, 269, 2052, 4878, 4494, 910, 1655, 585, 3214, 282, 3119, 6780, 6780, 9341, 22986, 3119, 6780, 948, 269, 654, 732, 5264, 5638, 267, 948, 31140, 616, 3636, 267, 543, 6780, 948, 547, 1205, 513, 1283, 27677, 577, 269, 1715, 4466, 6280, 540, 1082, 16926, 12031, 1603, 948, 1336, 538, 563, 27650, 6780, 948, 22986, 6106, 454, 763, 1292, 4247, 948, 22986, 910, 12031, 1603, 948, 2371, 267, 10053, 10664, 267, 547, 568, 519, 22986, 540, 5017, 543, 15081, 9529, 1480, 2924, 676, 519, 269, 3057, 476, 2641, 267, 2249, 540, 519, 3095, 2010, 540, 31140, 824, 6106, 910, 1082, 4666, 3762, 267, 3636, 543, 6632, 6780, 269, 1677, 1142, 4494, 31140, 1114, 689, 2872, 269, 2422, 948, 22986, 6106, 540, 4054, 602, 2661, 538, 519, 1004, 267, 543, 344, 555, 541, 2421, 269, 14175, 10809, 6780, 827, 9341, 31140, 3119, 6780, 827, 17717, 585, 269, 12729, 24610, 1740, 15276, 568, 519, 3095, 2010, 540, 544, 747, 10247, 3860, 1603, 3028, 3541, 2421, 948, 269, 853, 524, 15811, 540, 707, 20485, 27086, 7340, 827, 31140, 519, 8666, 547, 5013, 593, 519, 5013, 593, 519, 3119, 6780, 948, 4832, 3786, 1557, 2319, 269, 14175, 10809, 593, 476, 7367, 6075, 8039, 267, 711, 948, 22986, 540, 5017, 543, 1698, 878, 1941, 269, 7454, 10927, 960, 538, 519, 4764, 1169, 1032, 267, 10053, 10664, 267, 14014, 519, 32312, 22986, 5013, 269, 6732, 22986, 3119, 267, 1000, 12127, 543, 2626, 547, 17492, 513, 10554, 269, 2368, 1412, 332, 1170, 532, 262, 19297, 267, 4543, 782, 519, 1360, 13566, 3574, 4133, 621, 568, 519, 2916, 543, 2799, 25921, 936, 476, 276, 269, 12729, 24610, 1740, 15276, 568, 519, 948, 707, 6780, 948, 519, 948, 269, 14175, 28014, 22465, 31140, 910, 4574, 910, 6780, 543, 4628, 13854, 269, 5808, 2661, 538, 519, 22986, 6106, 540, 22986, 5013, 269, 4828, 960, 538, 519, 4764, 4104, 568, 513, 5856, 1557, 2319, 269, 0, 288, 2067, 2707, 267, 3638, 538, 15060, 476, 274, 9761, 7408, 267, 9001, 15060, 476, 274, 3165, 3282, 607, 513, 1426, 7110, 2488, 6484, 3638, 538, 1079, 9761, 7408, 267, 16501, 543, 667, 11190, 563, 2005, 779, 606, 5140, 2707, 540, 15060, 476, 274, 9761, 7408, 267, 519, 3170, 602, 519, 1560, 3340, 585, 2295, 1072, 563, 29604, 476, 274, 3165, 3282, 949, 581, 1031, 547, 2087, 1418, 1599, 543, 949, 4217, 547, 2569, 3170, 2157, 538, 519, 1973, 563, 763, 824, 1072, 2640, 2090, 723, 4362, 585, 3165, 3282, 616, 607, 4330, 2630, 563, 5353, 2378, 797, 543, 3165, 723, 1044, 7608, 607, 2048, 28090, 1426, 685, 585, 6502, 563, 10932, 5645, 856, 540, 3735, 267, 689, 519, 17039, 3557, 2160, 543, 519, 2160, 540, 4993, 267, 814, 4362, 1498, 267, 602, 15060, 476, 274, 3177, 676, 3165, 3282, 666, 948, 2429, 519, 2126, 540, 12216, 779, 2068, 563, 2005, 729, 4767, 602, 519, 1297, 540, 1004, 7231, 609, 12110, 543, 12216, 779, 2068, 267, 729, 1454, 2539, 538, 1346, 945, 9053, 513, 2732, 16041, 609, 16872, 543, 3165, 563, 2026, 971, 267, 15060, 476, 274, 338, 949, 581, 1360, 5363, 538, 29000, 547, 2061, 891, 1072, 2175, 689, 2921, 1747, 563, 8253, 835, 1268, 568, 28025, 11259, 547, 519, 4411, 543, 2770, 563, 4913, 267, 538, 2013, 707, 1560, 779, 2068, 8165, 7271, 568, 19847, 610, 7925, 267, 621, 779, 1454, 811, 2693, 596, 2461, 2469, 547, 1205, 835, 540, 891, 1455, 3676, 811, 5781, 563, 6624, 1382, 2944, 1472, 519, 8608, 723, 8612, 602, 519, 4761, 1062, 779, 2773, 949, 4324, 14320, 689, 3165, 3282, 563, 305, 14445, 532, 8611, 880, 2589, 1317, 540, 897, 1091, 610, 519, 14798, 267, 543, 5329, 11926, 547, 513, 5934, 267, 616, 824, 2640, 519, 15060, 476, 274, 1898, 9761, 7408, 538, 3165, 3282, 2488, 563, 22349, 8676, 568, 513, 2783, 602, 5222, 519, 28296, 267, 799, 2306, 621, 2352, 585, 1346, 609, 519, 2783, 547, 13236, 3362, 563, 288, 2603, 540, 1004, 5749, 1406, 10332, 547, 875, 8650, 713, 2783, 2731, 568, 267, 1141, 519, 28296, 616, 6414, 1836, 28332, 563, 763, 4960, 540, 7092, 606, 10447, 4323, 568, 7494, 22485, 950, 606, 1367, 3217, 3165, 3282, 267, 2090, 5342, 693, 519, 2160, 540, 17638, 4362, 563, 10932, 5342, 538, 29131, 1394, 909, 891, 4681, 607, 621, 729, 4362, 602, 3165, 3282, 538, 513, 1268, 779, 2732, 5280, 2569, 10447, 2589, 538, 930, 1004, 563, 10376, 942, 606, 1367, 23119, 689, 606, 10447, 4323, 267, 519, 28296, 9395, 523, 1813, 547, 6553, 543, 3165, 3282, 5526, 547, 6175, 519, 4110, 540, 11926, 267, 2687, 547, 3943, 3744, 563, 2750, 18075, 519, 1482, 1382, 4362, 602, 519, 2489, 5106, 540, 519, 7929, 17102, 4718, 7415, 9283, 30289, 547, 6220, 3165, 3282, 883, 519, 2732, 563, 293, 880, 3282, 1223, 7654, 6175, 519, 12918, 540, 2589, 855, 602, 3085, 1406, 5815, 602, 596, 1590, 24044, 2921, 519, 2126, 707, 10629, 9516, 952, 596, 616, 606, 4230, 327, 15122, 563, 2005, 568, 2141, 1044, 17019, 602, 1004, 945, 814, 3987, 1826, 476, 273, 616, 2693, 547, 10929, 824, 1072, 2152, 1644, 547, 713, 2783, 563, 19617, 2730, 2565, 8219, 1369, 519, 1560, 949, 1205, 12936, 1317, 540, 519, 1164, 1377, 540, 4006, 3330, 519, 1973, 563, 2467, 779, 930, 6169, 602, 1973, 8043, 949, 581, 8697, 538, 15847, 2043, 267, 602, 666, 3142, 827, 3152, 4220, 540, 2295, 4323, 543, 8482, 563, 10932, 1397, 602, 621, 568, 2009, 547, 6175, 519, 8515, 540, 2589, 609, 22111, 8343, 540, 3635, 543, 2732, 532, 563, 4263, 519, 2160, 540, 10228, 538, 519, 2136, 8003, 267, 3173, 4121, 602, 930, 31911, 4810, 22485, 27831, 728, 538, 519, 1973, 1310, 1210, 3165, 3282, 563, 6944, 13764, 27831, 1938, 568, 513, 2462, 3815, 538, 5969, 1524, 519, 1981, 540, 18460, 513, 2295, 4323, 610, 8482, 267, 18867, 267, 713, 3580, 948, 547, 2149, 1996, 24571, 3022, 16209, 689, 8501, 563, 2690, 519, 1560, 547, 7500, 5265, 267, 649, 782, 2154, 15060, 476, 274, 9761, 11041, 563, 22137, 538, 1082, 2477, 723, 3254, 7899, 540, 2640, 602, 666, 581, 5833, 689, 3478, 6190, 15060, 476, 274, 1898, 9761, 7408, 563, 31714, 10438, 513, 6093, 11335, 2732, 616, 811, 20916, 547, 1995, 8902, 2157, 540, 15060, 476, 274, 267, 1813, 547, 10438, 3165, 267, 16872, 543, 4195, 3132, 5781, 267, 6466, 5375, 11326, 616, 811, 2693, 547, 1683, 4130, 5666, 540, 891, 2640, 563, 2005, 786, 581, 9296, 6088, 547, 1039, 15060, 476, 274, 1898, 9761, 7408, 1426, 2959, 883, 519, 2834, 2732, 563, 1103, 2013, 596, 1616, 547, 8532, 3536, 602, 2270, 15060, 476, 274, 267, 1413, 883, 4946, 16872, 267, 3226, 3165, 267, 547, 707, 2732, 7466, 1142, 3018, 563, 288, 1906, 824, 2959, 540, 15060, 476, 274, 5161, 540, 2898, 9274, 543, 10808, 267, 543, 737, 27626, 610, 6862, 328, 799, 596, 1265, 20386, 936, 521, 25775, 20061, 563, 26170, 267, 5103, 2348, 891, 2010, 540, 3536, 621, 666, 581, 2352, 13844, 2614, 15060, 476, 274, 1898, 9761, 7408, 883, 519, 2732, 267, 585, 602, 2601, 3165, 3282, 9360, 1522, 581, 519, 1655, 3070, 563, 2791, 786, 3605, 513, 1297, 540, 4052, 2640, 585, 2921, 3165, 3282, 267, 543, 2943, 596, 3580, 1265, 7899, 596, 1522, 711, 723, 2808, 563, 1103, 25691, 568, 2219, 547, 581, 513, 9594, 585, 513, 3099, 540, 2565, 1072, 2152, 267, 971, 607, 27131, 12263, 267, 5186, 18255, 779, 2068, 267, 930, 2010, 540, 11871, 267, 9025, 2068, 267, 19357, 658, 10447, 543, 513, 3099, 540, 824, 2175, 563, 763, 1560, 814, 922, 1378, 8878, 1062, 1996, 6553, 538, 519, 1106, 540, 10399, 1634, 607, 14382, 698, 1633, 1231, 267, 4171, 2504, 814, 1044, 8810, 547, 581, 15469, 676, 3165, 3282, 563, 29604, 476, 274, 814, 14984, 4550, 13611, 3601, 267, 799, 666, 581, 6225, 585, 4227, 6553, 538, 519, 10549, 1813, 547, 12263, 563, 17829, 945, 1491, 3165, 3282, 593, 513, 2834, 4493, 616, 2693, 547, 723, 513, 3648, 2539, 1297, 540, 6553, 5829, 10108, 543, 2175, 607, 513, 1267, 563, 4263, 634, 7736, 2986, 634, 4303, 454, 7212, 3165 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7383, 23094, 9074, 454, 5228, 23094, 1104, 27661, 5814, 19523, 476, 1948, 769, 1931, 547, 2165, 3729, 519, 1982, 454, 5814, 15259, 454, 5814, 942, 454, 5814, 27387, 7049, 692, 258, 8073, 513, 27427, 7746, 23094, 454, 258, 630, 28425, 318, 2562, 4953, 568, 1031, 585, 7379, 341, 275, 10873, 994, 258, 630, 306, 8016, 298, 318, 4306, 3918, 4456, 568, 1031, 585, 27427, 2020, 338, 13996, 306, 12714, 815, 23094, 10490, 293, 318, 2562, 4953, 267, 590, 8016, 298, 318, 4306, 3918, 4456, 2020, 258, 25849, 513, 2823, 1297, 454, 338, 13996, 21545, 815, 476, 277, 4281, 280, 692, 258, 645, 785, 519, 23094, 547, 7746, 2232, 543, 7746, 2823, 454, 338, 13996, 306, 12714, 12500, 785, 263, 2891, 2580, 7746, 21545, 11723, 258, 19415, 547, 693, 1034, 476, 276, 4276, 693, 513, 942, 454, 338, 13996, 306, 12714, 269, 4289, 523, 263, 276, 2020, 6112, 6936, 912, 825, 1948, 18218, 1058, 581, 909, 543, 4881, 543, 6947, 547, 519, 19670, 4296, 692, 825, 1820, 3488, 763, 7746, 568, 4712, 547, 4309, 17210, 825, 1948, 5590, 909, 513, 1007, 4276, 689, 519, 7817, 454, 825, 4276, 306, 12714, 267, 1039, 337, 815, 7746, 306, 12714, 269, 23100, 10797, 825, 1948, 1403, 606, 9868, 4386, 1282, 519, 11056, 540, 2119, 16083, 454, 825, 1948, 519, 1964, 540, 519, 16083, 568, 1236, 5792, 454, 825, 1948, 1403, 519, 9868, 1826, 13292, 519, 2262, 1310, 4849, 454, 825, 1948, 519, 4849, 16083, 568, 13401, 692, 825, 1948, 6744, 27387, 454, 825, 4408, 815, 27387, 7049, 269, 628, 15105, 269, 523, 636, 4733, 4590, 825, 1820, 2891, 11243, 540, 27387, 338, 2433, 2580, 4408, 994, 825, 1293, 815, 27387, 7049, 269, 628, 15105, 269, 5562, 18045, 4590, 825, 1820, 2891, 10831, 540, 27387, 338, 2433, 2580, 1293, 2020, 825, 1948, 3399, 774, 15105, 454, 825, 27387, 815, 27387, 7049, 13034, 663, 548, 1320, 1348, 6025, 13759, 284, 1320, 1348, 7049, 13034, 663, 548, 5141, 1304, 267, 26571, 14352, 28947, 306, 12714, 267, 1039, 337, 267, 1293, 4917, 825, 27387, 269, 11034, 10797, 338, 13996, 306, 12714, 25379, 4590, 338, 903, 20216, 527, 3890, 476, 1948, 12910, 3729, 519, 1982, 1310, 11488, 519, 7222, 1239, 454, 0, 1477, 5814, 4633, 318, 13440, 10744, 607, 521, 337, 1948, 21028, 4633, 1477, 5814, 4249, 895, 1948, 547, 1404, 606, 8301, 3758, 1477, 5228, 575, 339, 1206, 1104, 575, 307, 4811, 1948, 24440, 1257, 547, 4633, 1477, 5814, 4351, 1477, 5228, 942, 1104, 524, 5503, 1948, 1205, 942, 3877, 1477, 5814, 1357, 321, 4900, 518, 1948, 1930, 11422, 1477, 5814, 521, 16435, 1477, 5814, 5909, 604, 328, 1477, 5814, 942, 1477, 5814, 1016, 15263, 1477, 5814, 28894, 842, 1477, 5814, 28957, 1477, 5814, 556, 1477, 5814, 15259, 1948, 547, 4894, 2813, 8301, 6119, 5897, 5035, 1268, 6769, 825, 2012, 815, 15234, 1477, 825, 1219, 1305, 11243, 4311, 267, 2012, 8029, 1038, 1582, 20508, 815, 2012, 5897, 3698, 972, 318, 1410, 1235, 263, 614, 916, 8029, 825, 585, 2165, 538, 2474, 6769, 1038, 952, 2165, 538, 5639, 12774, 6769, 2018, 2132, 6936, 5897, 337, 815, 521, 337, 10611, 1815, 1758, 6500, 3890, 1948, 3355, 1047, 513, 2369, 16014, 5897, 258, 6432, 585, 8301, 543, 6460, 621, 547, 1257, 6769, 3698, 2594, 318, 7596, 1470, 263, 2532, 25716, 8029, 825, 609, 521, 337, 8160, 2222, 7483, 3890, 607, 2707, 281, 1948, 28416, 607, 2707, 1477, 1038, 952, 2307, 6769, 2018, 3717, 263, 2532, 3418, 1038, 8301, 815, 678, 269, 4289, 523, 4433, 1830, 264, 476, 1948, 6432, 585, 519, 8301, 3842, 2707, 1477, 1038, 5639, 12774, 815, 15234, 1477, 1038, 2119, 6769, 2018, 5639, 12774, 815, 678, 269, 13440, 1758, 1125, 318, 2998, 4355, 5416, 644, 1470, 264, 476, 1948, 6460, 8301, 547, 1257, 1477, 1038, 4849, 521, 337, 269, 4462, 4385, 19368, 13286, 281, 1948, 5470, 281, 2369, 6500, 1281, 711, 1174, 1477, 2018, 3717, 3488, 296, 1705, 711, 1205, 602, 20298, 1038, 4849, 521, 337, 10611, 3225, 652, 13286, 6769, 2018, 3717, 3488, 28989, 267, 519, 3028, 568, 1524, 10807, 1948, 5470, 281, 2369, 6500, 568, 711, 4448, 1477, 1038, 1820, 6600, 257, 2791, 281, 2715, 341, 4069, 12774, 31573, 3890, 348, 8442, 1948, 1820, 1018, 3593, 1767, 1477, 1038, 2132, 5639, 12774, 31573, 31476, 258, 1205, 5569, 543, 1118, 513, 8301, 3758, 547, 581, 5129, 1477, 3698, 3717, 5416, 644, 1470, 23952, 8029, 825, 512, 1206, 815, 575, 307, 4811, 29495, 284, 7596, 1470, 23952, 267, 31423, 8782, 523, 10807, 1948, 1257, 547, 4633, 17635, 4069, 3418, 825, 678, 815, 4351, 27110, 263, 272, 267, 1220, 1822, 876, 3418, 825, 8301, 18316, 815, 1412, 7596, 1470, 262, 1341, 1193, 16868, 264, 1341, 29717, 5404, 274, 262, 1477, 825, 512, 1206, 4732, 1511, 5416, 644, 1470, 18316, 264, 1948, 4688, 607, 544, 335, 274, 1477, 825, 4249, 895, 269, 680, 904, 895, 5416, 644, 1470, 18316, 264, 1948, 1404, 519, 8301, 3758, 1477, 825, 1820, 6600, 257, 1952, 281, 2715, 7596, 1470, 23952, 348, 8442, 1948, 1820, 1018, 813, 1767, 1477, 825, 15259, 31927, 5416, 644, 1470, 18316, 264, 1948, 4894, 8301, 3758, 5897, 3698, 4431, 17635, 4069, 12774, 8029, 825, 1948, 476, 272, 281, 28551, 1477, 825, 952, 972, 318, 1410, 1235, 8443, 262, 30750, 12887, 6062, 12887, 31435, 11172, 8029, 1038, 26250, 902, 815, 1496, 325, 257, 30750, 267, 875, 666, 594, 948, 596, 2715, 17367, 318, 28128, 20508, 348, 2580, 535, 257, 30750, 267, 1018, 781, 909, 286, 2715, 17367, 318, 28128, 20508, 348, 2580, 535, 19285, 6415, 6947, 2715, 17367, 318, 28128, 20508, 348, 2580, 535, 257, 6011, 666, 594, 948, 596, 286, 2715, 17367, 318, 28128, 20508, 348, 2580, 535, 257, 31435, 2715, 17367, 318, 28128, 20508, 348, 257, 15947, 1038, 26250, 815, 26250, 902, 314, 12690, 27110, 263, 271, 267, 6352, 14116, 22901, 902, 9984, 272, 13580, 1477, 1038, 3717, 14116, 22901, 10142, 825, 1948, 476, 273, 281, 2012, 1477, 825, 952, 972, 318, 1410, 1235, 8443, 257, 6343, 568, 707, 2012, 14824, 6343, 781, 707, 2012, 14824, 339, 749, 803, 707, 2012, 19312, 8029, 1038, 952, 1268, 318, 28128, 20508, 6769, 2018, 3717, 2891, 3240, 2012, 568, 813, 14744, 1038, 3116, 6769, 2018, 3717, 2891, 3240, 2012, 568, 813, 269, 1018, 781, 707, 2012, 8119, 10142, 825, 952, 972, 318, 1410, 1235, 8443, 257, 3240, 2012, 568, 14824, 296, 993, 19312, 8029, 1038, 1268, 12173, 815, 5639, 12774, 21858, 3890, 15631, 272, 4940, 29328, 14052, 1038, 3717, 6600, 257, 758, 599, 267, 1775, 786, 3314, 602, 2715, 17367, 12173, 348, 14744, 1038, 1268, 318, 28128, 15630, 11243, 9638, 3205, 12173, 264, 1948, 3314, 2012, 538, 1268, 1843, 5897, 825, 1948, 476, 274, 281, 28551, 1477, 825, 952, 972, 318, 1410, 1235, 8443, 257, 6011, 616, 596, 14824, 6011, 616, 596, 3257, 19312, 8029, 1038, 3717, 6600, 19285, 6415, 1360, 1134, 267, 7064, 585, 6998, 2715, 17367, 318, 28128, 20508, 348, 257, 10142, 825, 1948, 476, 275, 281, 942, 1477, 825, 952, 972, 318, 1410, 1235, 8443, 257, 6343, 781, 519, 942, 14824, 339, 749, 803, 519, 942, 14824, 6343, 942, 568, 621, 19312, 8029, 1038, 942, 815, 524, 5503, 14061, 20889, 2891, 834, 25011, 274, 4940, 20889, 2891, 281, 8442, 314, 271, 281, 273, 15947, 1038, 952, 942, 314, 271, 316, 2652, 834, 876, 257, 6769, 2018, 3108, 815, 1412, 1321, 262, 1477, 1038, 3116, 6769, 2018, 3108, 815, 942, 314, 271, 15947, 1038, 3764, 815, 942, 314, 272, 15947, 1038, 942, 815, 535, 262, 346, 327, 2293, 348, 2715, 2381, 2373, 348, 262, 1477, 1038, 3717, 263, 5503, 10142, 825, 1948, 476, 276, 281, 3406, 24440, 1477, 825, 952, 972, 318, 1410, 1235, 8443, 257, 14142, 585, 14824, 2998, 4355, 14824, 14142, 538, 24440, 14824, 14142, 257, 8079, 543, 1412, 344, 19834, 262, 711, 538, 5639, 12774, 6769, 1038, 3406, 318, 3410, 815, 5639, 12774, 21858, 2891, 1721, 8442, 15631, 272, 15947, 1038, 29250, 815, 535, 257, 10059, 2517, 2998, 4355, 2593, 270, 14142, 286, 336, 28121, 14142, 318, 3410, 348, 29177, 1038, 3717, 6600, 262, 2080, 568, 1018, 594, 1336, 585, 2715, 14142, 318, 3410, 348, 593, 24440, 20298, 1038, 1357, 321, 4900, 518, 10947, 14061, 13449, 263, 14766, 10142, 825, 1948, 476, 277, 281, 3406, 596, 32353, 1477, 825, 952, 972, 318, 1410, 1235, 8443, 257, 344, 19834, 19312, 8029, 1038, 3406, 318, 3410, 815, 5639, 12774, 21858, 2891, 1721, 8442, 15631, 272, 15947, 1038, 29250, 815, 535, 257, 10059, 2517, 4178, 28938, 2593, 270, 29798, 286, 14142, 318, 638, 2044, 28121, 14142, 318, 3410, 348, 29177, 1038, 3717, 6600, 262, 2080, 568, 1018, 594, 1336, 585, 2715, 14142, 318, 3410, 348, 593, 596, 32353, 20298, 1038, 1357, 321, 4900, 518, 10947, 14061, 13449, 263, 14766, 3418, 24541, 825, 1948, 476, 278, 281, 1930, 32766, 6769, 24541, 825, 1948, 5961, 1477, 825, 952, 972, 318, 1410, 1235, 8443, 262, 335, 1112, 999, 17835, 11172, 8029, 1038, 5961, 24786, 815, 1412, 290, 281, 11138, 5825, 619, 11138, 3387, 332, 629, 11138, 303, 1112, 999, 262, 1477, 1038, 3717, 2891, 303, 1112, 999, 17835, 568, 8118, 14744, 1038, 15259, 269, 11034, 12803, 9638, 1112, 999, 24786, 3418, 1363, 1477, 825, 1948, 20042, 1477, 825, 952, 972, 318, 1410, 1235, 8443, 262, 323, 5877, 338, 17835, 11172, 8029, 1038, 20042, 24786, 815, 1412, 290, 281, 11138, 5825, 619, 11138, 3387, 332, 629, 11138, 12606, 338, 262, 1477, 1038, 3717, 2891, 12606, 338, 17835, 568, 8118, 14744, 1038, 15259, 269, 11034, 12803, 263, 12606, 338, 24786, 3418, 1363, 5897, 825, 1948, 30325, 9008, 1477, 825, 952, 972, 318, 1410, 1235, 8443, 262, 9188, 330, 9008, 17835, 11172, 8029, 1038, 30325, 9008, 24786, 815, 1412, 290, 281, 11138, 5825, 619, 11138, 3387, 332, 629, 11138, 5327, 330, 9008, 262, 1477, 1038, 3717, 2891, 5327, 330, 9008, 17835, 568, 8118, 8442, 24541, 1038, 15259, 269, 11034, 12803, 263, 5327, 330, 9008, 24786, 10142, 825, 1948, 26671, 1477, 825, 952, 972, 318, 1410, 1235, 8443, 262, 25269, 3701, 17835, 11172, 8029, 1038, 26671, 24786, 815, 1412, 290, 281, 11138, 5825, 619, 11138, 3387, 332, 629, 11138, 291, 665, 3701, 262, 1477, 1038, 3717, 2891, 291, 665, 3701, 17835, 568, 8118, 14744, 1038, 15259, 269, 11034, 12803, 20573, 665, 3701, 24786, 10142, 825, 1948, 476, 279, 281, 1930, 8924, 5897, 825, 1948, 577, 4435, 1477, 825, 952, 972, 318, 1410, 1235, 8443, 262, 577, 4435, 11172, 8029, 1038, 3717, 2891, 11386, 24904, 568, 8118, 14744, 1038, 15259, 269, 11034, 12803, 3488, 290, 24097, 25284, 28567, 630, 343, 10436, 9385, 11386, 315, 2419, 4435, 315, 32101, 315, 577, 4435, 20216, 324, 262, 10142, 825, 1948, 476, 280, 281, 8729, 1477, 825, 952, 972, 318, 1410, 1235, 8443, 257, 628, 3471, 2580, 834, 628, 1678, 19312, 8029, 1038, 3717, 2891, 9767, 616, 10950, 267, 594, 6415, 1934, 547, 948, 596, 14744, 24541, 672, 1948, 476, 1015, 281, 11146, 1477, 825, 952, 972, 318, 1410, 1235, 8443, 257, 328, 2648, 596, 2580, 834, 328, 899, 596, 19312, 8029, 1038, 14560, 815, 22373, 331, 913, 596, 1932, 2580, 834, 1889, 1932, 267, 6653, 773, 2580, 834, 2889, 557, 621, 257, 15947, 1038, 2648, 815, 14560, 314, 12690, 27110, 263, 271, 267, 6352, 10857, 7174, 9984, 272, 13580, 1477, 1038, 3717, 10857, 913, 10142, 825, 1948, 476, 1556, 281, 4413, 1477, 825, 952, 972, 318, 1410, 1235, 8443, 257, 328, 4413, 596, 19312, 8029, 1038, 3717, 2891, 296, 4413, 596, 1932, 29389, 10142, 825, 1948, 476, 1321, 281, 3983, 1913, 1477, 825, 952, 972, 318, 1410, 1235, 8443, 257, 3333, 583, 909, 14824, 325, 3089, 596, 2580, 834, 325, 3089, 2580, 834, 325, 30995, 19312, 8029, 1038, 3717, 2891, 28989, 267, 594, 666, 711, 2626, 585, 891, 3983, 1913, 14744, 1363, 1477, 825, 1948, 476, 1724, 281, 14827, 1477, 825, 952, 972, 318, 1410, 1235, 8443, 257, 1410, 527, 2580, 834, 10181, 2580, 834, 16591, 25742, 14824, 25742, 19312, 8029, 1038, 3717, 2891, 4707, 22356, 14744, 1038, 14827, 14052, 5897, 5503, 4732, 2748, 263, 276, 10142, 17367, 318, 28128, 815, 1268, 14052, 6112, 476, 272, 6769, 825, 5639, 12774, 815, 2594, 318, 7596, 1470, 3890, 1948, 1205, 519, 5639, 3403, 1477, 825, 4431, 17635, 4069, 12774, 264, 1948, 4431, 0, 5228, 4351, 1104, 28219, 9792, 7531, 3698, 844, 6506, 677, 17338, 267, 1376, 267, 1439, 2187, 825, 1948, 763, 5690, 786, 2347, 950, 519, 1376, 543, 1439, 31452, 5815, 513, 1592, 609, 835, 610, 4642, 2609, 563, 825, 952, 1376, 13843, 1439, 912, 1038, 2132, 1592 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 1265, 621, 568, 711, 585, 596, 267, 596, 949, 3346, 6075, 1489, 1369, 476, 2568, 2395, 547, 7662, 513, 32479, 269, 1215, 2233, 1738, 320, 853, 4958, 2583, 5053, 454, 285, 3436, 8437, 3371, 547, 5410, 547, 14295, 3767, 2999, 2999, 454, 3682, 338, 543, 931, 540, 7982, 10266, 16505, 10843, 454, 268, 634, 1982, 814, 2789, 1863, 13755, 4926, 1256, 693, 922, 10464, 3902, 1448, 454, 268, 634, 1982, 2882, 476, 1911, 2600, 2067, 267, 2922, 2409, 563, 268, 634, 7982, 10266, 16505, 10843, 568, 1360, 10097, 267, 543, 621, 1869, 2501, 609, 13755, 4926, 563, 268, 7982, 10266, 16505, 10843, 568, 711, 942, 21791, 547, 2259, 454, 268, 1703, 616, 1100, 2027, 4170, 547, 1491, 519, 7982, 10266, 16505, 10843, 1982, 454, 268, 634, 5358, 568, 3656, 543, 7608, 5001, 454, 268, 634, 7982, 10266, 16505, 10843, 1568, 585, 4896, 540, 1022, 2085, 267, 4008, 267, 610, 8516, 1377, 563, 268, 634, 1982, 568, 2922, 543, 568, 9516, 676, 7189, 454, 268, 24296, 15384, 30829, 5561, 666, 1205, 513, 476, 2568, 6377, 10018, 689, 634, 7982, 10266, 16505, 10843, 454, 268, 898, 779, 2653, 547, 946, 513, 16335, 267, 16979, 610, 2780, 547, 1569, 621, 563, 268, 1411, 666, 4647, 519, 7982, 10266, 16505, 10843, 1982, 865, 596, 666, 946, 621, 20471, 9170, 563, 268, 7982, 10266, 16505, 10843, 568, 1152, 2139, 2228, 543, 593, 922, 4013, 3135, 269, 7457, 532, 621, 1510, 891, 3688, 666, 1118, 621, 2352, 547, 1205, 621, 563, 268, 634, 7982, 10266, 16505, 10843, 1982, 568, 711, 513, 2168, 1587, 269, 1703, 568, 1100, 15889, 1587, 596, 666, 6718, 269, 1215, 2233, 1738, 320, 853, 4958, 2583, 5053, 454, 268, 634, 1982, 779, 6364, 949, 581, 1114, 585, 1114, 1004, 563, 268, 901, 1982, 568, 711, 5497, 547, 5372, 4274, 5868, 543, 29492, 609, 513, 4387, 563, 19723, 18743, 281, 7982, 10266, 16505, 10843, 454, 12988, 10266, 16505, 10843, 568, 513, 1390, 1587, 585, 1394, 1928, 269, 634, 5751, 616, 1360, 2241, 267, 543, 621, 1281, 711, 693, 782, 16297, 689, 1250, 3232, 6296, 563, 296, 723, 1044, 7092, 689, 5312, 1394, 1928, 585, 513, 1279, 942, 267, 543, 621, 814, 1044, 7168, 16297, 532, 269, 898, 849, 4991, 8338, 607, 1250, 1568, 4125, 513, 2603, 540, 9361, 1472, 269, 3683, 942, 267, 594, 8068, 513, 1713, 6454, 538, 1250, 1394, 1928, 609, 7982, 10266, 16505, 10843, 563, 2005, 814, 1044, 1079, 4374, 2094, 594, 4076, 3323, 519, 1982, 543, 1169, 1554, 1175, 4991, 1732, 543, 1732, 269, 594, 1413, 4464, 547, 7487, 952, 1250, 1394, 10607, 693, 519, 1439, 540, 519, 2126, 563, 296, 4126, 1250, 1394, 666, 2736, 998, 713, 1928, 630, 335, 684, 5497, 264, 693, 519, 1439, 540, 621, 782, 563, 12988, 10266, 16505, 10843, 32279, 18542, 5999, 1215, 2233, 1738, 320, 853, 4958, 2583, 5053, 454, 12663, 594, 581, 2838, 547, 7227, 2394, 594, 4309, 1250, 1982, 538, 1250, 4757, 1310, 594, 723, 6976, 585, 519, 1982, 888, 5591, 267, 7982, 10266, 16505, 10843, 666, 581, 15600, 5612, 1310, 9140, 621, 563, 2791, 666, 14678, 4647, 519, 3003, 4487, 5035, 543, 661, 9248, 563, 3674, 972, 1022, 2427, 1198, 547, 519, 7982, 10266, 16505, 10843, 5358, 1548, 827, 824, 2694, 540, 1250, 1560, 602, 1745, 1928, 888, 5591, 267, 634, 2898, 1184, 568, 7357, 1928, 1652, 563, 763, 5322, 602, 1590, 581, 13401, 538, 519, 1982, 616, 7168, 2241, 543, 1928, 1652, 269, 1358, 666, 581, 2944, 538, 1175, 513, 2110, 1974, 540, 942, 269, 634, 1982, 1281, 711, 2154, 1022, 6391, 610, 6646, 563, 2710, 596, 991, 547, 798, 519, 1982, 1896, 2053, 829, 1554, 888, 763, 1982, 666, 581, 1031, 2899, 829, 1554, 563, 763, 1982, 568, 1360, 2656, 267, 607, 7150, 4505, 269, 634, 1982, 3217, 1152, 513, 1906, 3764, 543, 596, 2461, 2944, 585, 519, 1554, 269, 0, 20103, 476, 2641, 267, 476, 1708, 271, 454, 1805, 1173, 1794, 619, 538, 519, 29036, 772, 2529, 269, 4465, 1405, 1205, 1454, 689, 948, 689, 519, 4365, 952, 789, 2811, 15691, 547, 1294, 519, 4686, 834, 24030, 14966, 257, 540, 18347, 543, 21275, 593, 11728, 3781, 563, 763, 1454, 268, 1506, 6244, 18477, 2680, 267, 1305, 547, 2049, 585, 519, 1101, 942, 538, 5176, 476, 8517, 1296, 267, 786, 3142, 519, 1079, 3154, 23766, 883, 606, 9058, 12972, 602, 3029, 1018, 5526, 607, 513, 834, 29602, 4541, 2437, 513, 2582, 6505, 1448, 540, 1769, 538, 519, 6607, 563, 22349, 1258, 12002, 1767, 519, 10785, 262, 20771, 12972, 786, 3136, 2394, 8285, 3781, 267, 855, 519, 4998, 942, 547, 2070, 621, 568, 593, 11728, 267, 5463, 269, 476, 2641, 267, 519, 5162, 1151, 560, 823, 543, 13074, 3781, 540, 519, 1032, 563, 8698, 532, 519, 1390, 14966, 729, 2907, 2469, 547, 581, 513, 4161, 585, 1346, 945, 2661, 2484, 689, 519, 20337, 267, 1141, 8343, 568, 1655, 269, 634, 12972, 568, 1034, 7298, 538, 519, 22236, 6607, 827, 606, 5662, 1310, 23863, 267, 855, 31063, 2175, 538, 519, 29036, 593, 11728, 786, 1118, 26164, 519, 10785, 513, 1279, 3333, 582, 563, 10214, 609, 513, 1507, 16263, 610, 10822, 22811, 338, 267, 19936, 1185, 2907, 1767, 519, 10785, 786, 581, 865, 5702, 13988, 602, 621, 781, 2352, 547, 10646, 873, 269, 634, 1079, 10785, 786, 1780, 609, 476, 271, 269, 272, 5232, 540, 835, 1776, 267, 693, 513, 3845, 540, 827, 835, 1922, 604, 628, 540, 513, 2407, 7599, 781, 8006, 563, 2414, 948, 519, 1857, 7747, 519, 2680, 267, 519, 8899, 749, 25076, 538, 14151, 543, 519, 31257, 3163, 25076, 538, 4993, 786, 1142, 723, 5691, 12535, 2139, 11728, 3781, 563, 763, 8899, 749, 25076, 781, 6908, 786, 2253, 693, 476, 278, 533, 6230, 269, 8109, 9208, 5384, 563, 763, 31257, 3163, 25076, 781, 2680, 6238, 693, 476, 279, 533, 6230, 269, 8109, 9208, 5384, 269, 1358, 786, 849, 3180, 513, 28652, 5428, 585, 519, 2680, 267, 31392, 1346, 945, 6443, 11578, 538, 4434, 563, 763, 1390, 8580, 25934, 814, 5949, 1152, 7466, 538, 519, 2250, 476, 273, 267, 1822, 1296, 269, 898, 568, 4397, 547, 2049, 1586, 538, 476, 21172, 271, 267, 950, 19936, 3494, 621, 949, 581, 4443, 547, 2070, 1317, 621, 786, 581, 7298, 2362, 1657, 519, 16880, 269, 2991, 602, 267, 519, 2680, 4465, 1405, 2049, 2394, 476, 13301, 271, 269, 0, 2690, 8808, 1053, 267, 1934, 568, 713, 1520, 3939, 267, 18734, 267, 1656, 2598, 8408, 540, 519, 3461, 7688, 269, 634, 12016, 1369, 513, 6413, 814, 930, 1360, 3982, 11645, 602, 616, 4481, 1305, 585, 873, 547, 9585, 269, 9861, 602, 596, 1175, 3323, 5887, 1005, 883, 519, 1158, 540, 8808, 267, 596, 1590, 723, 4988, 930, 11645, 596, 786, 581, 2838, 547, 798, 9985, 538, 8808, 476, 6200, 269, 6875, 713, 7688, 593, 3184, 476, 1556, 8720, 16075, 267, 4483, 267, 543, 11166, 547, 1294, 875, 1454, 596, 6956, 563, 293, 792, 540, 519, 7164, 454, 299, 1601, 540, 3961, 454, 293, 792, 540, 519, 7164, 454, 299, 1601, 540, 3961, 454, 11514, 528, 1304, 566, 547, 1747, 543, 942, 454, 17951, 518, 1813, 547, 7050, 2978, 960, 454, 289, 13717, 532, 1145, 543, 2648, 454, 7312, 7385, 543, 2828, 786, 581, 1934, 1022, 4090, 1631, 563, 2710, 596, 1616, 930, 16152, 888, 2710, 596, 1616, 803, 547, 2490, 519, 8613, 593, 888, 16100, 875, 1434, 519, 4365, 568, 454, 299, 1601, 540, 14031, 454, 13900, 20439, 543, 21341, 454, 299, 871, 540, 1852, 454, 3725, 951, 531, 540, 12008, 3270, 454, 16485, 519, 3461, 781, 2564, 1686, 563, 18800, 519, 3461, 781, 6646, 454, 11917, 1555, 1271, 7114, 1344, 454, 14807, 622, 513, 3461, 827, 6413, 4507, 454, 9743, 1192, 3461, 593, 1018, 547, 798, 1354, 6391, 454, 2521, 547, 7058, 1018, 568, 1373, 5941, 563, 24445, 585, 606, 3705, 614, 563, 8196, 1129, 1893, 454, 5719, 5586, 622, 519, 3461, 547, 1776, 12016, 945, 14753, 602, 1893, 454, 6826, 18906, 633, 547, 3461, 781, 26068, 2792, 563, 4910, 1051, 519, 3461, 607, 606, 1367, 454, 310, 514, 3461, 781, 3972, 676, 15603, 873, 917, 602, 596, 723, 2828, 689, 519, 1482, 7292, 4282, 454, 22142, 3801, 547, 946, 6803, 22463, 609, 2550, 454, 9824, 725, 1222, 540, 519, 4055, 547, 519, 11923, 262, 6728, 454, 1692, 547, 946, 519, 954, 1260, 1062, 454, 1692, 547, 1931, 9413, 593, 3747, 454, 763, 4087, 540, 519, 17643, 543, 19880, 6703, 454, 1692, 547, 4188, 519, 5127, 543, 519, 8279, 454, 13014, 519, 4055, 4712, 454, 294, 22901, 3461, 676, 2012, 1210, 1010, 17017, 21519, 952, 519, 3461, 568, 606, 2937, 454, 23737, 6413, 6296, 454, 17809, 728, 8846, 547, 14191, 10918, 544, 8712, 543, 14060, 454, 23737, 950, 6980, 616, 6039, 543, 950, 2828, 616, 4847, 547, 3643, 454, 302, 686, 550, 3461, 547, 519, 1770, 267, 561, 1735, 613, 267, 543, 12016, 781, 6728, 454, 302, 686, 550, 3461, 547, 519, 4055, 269, 11512, 946, 540, 3937, 454, 8196, 2427, 986, 2812, 543, 2990, 1289, 1769, 1369, 2653, 3914, 454, 1103, 341, 924, 1920, 1394, 883, 519, 4055, 952, 789, 2451, 4505, 454, 3725, 1783, 585, 16075, 454, 29819, 543, 2589, 454, 303, 770, 10108, 267, 10551, 5773, 267, 543, 30674, 454, 8469, 1709, 543, 11959, 454, 25583, 540, 9637, 267, 4463, 267, 543, 2597, 454, 289, 805, 327, 4992, 543, 15108, 4992, 454, 305, 1052, 540, 5163, 267, 2960, 2783, 267, 5075, 267, 543, 6217, 454, 24292, 543, 3909, 4282, 454, 2710, 596, 1616, 803, 547, 2307, 519, 4387, 547, 948, 596, 888, 2080, 616, 930, 2156, 577, 999, 827, 519, 5650, 454, 2710, 596, 1616, 547, 581, 4805, 609, 707, 1920, 888, 2710, 596, 1616, 803, 547, 4734, 888, 3891, 697, 543, 2597, 454, 309, 1707, 543, 6217, 454, 290, 11857, 543, 8417, 1449, 454, 302, 686, 550, 3461, 547, 519, 6413, 454, 18183, 3305, 602, 3461, 17358, 10368, 4255, 543, 5773, 454, 12507, 3218, 3461, 781, 2702, 547, 5605, 3634, 10446, 454, 12507, 3218, 3461, 781, 1620, 540, 12016, 781, 2528, 543, 1604, 454, 12507, 3218, 3461, 781, 2702, 547, 7500, 6413, 5127, 267, 1289, 1769, 267, 543, 6595, 7735, 563, 3528, 9001, 519, 1655, 3937, 2139, 454, 3528, 3850, 1152, 8036, 10986, 547, 798, 519, 4483, 454, 3528, 25643, 519, 3461, 781, 2783, 1354, 543, 1282, 4483, 454, 3528, 10912, 593, 1920, 2818, 547, 948, 1282, 519, 4483, 454, 9558, 819, 531, 1416, 568, 519, 1184, 540, 8156, 513, 3461, 945, 568, 1373, 11843, 689, 513, 6413, 1394, 547, 1753, 563, 11514, 8408, 689, 513, 1753, 1072, 8116, 3340, 519, 1482, 3450, 607, 11166, 689, 513, 6413, 563, 23991, 2818, 945, 786, 581, 519, 3119, 15637, 798, 711, 991, 10526, 610, 2069, 563, 10112, 612, 519, 1983, 543, 8244, 540, 513, 3119, 27877, 454, 288, 5758, 2272, 540, 519, 6413, 3251, 454, 28398, 540, 782, 2883, 13800, 454, 19686, 540, 11166, 454, 8266, 540, 5234, 945, 25374, 585, 519, 3461, 454, 1805, 3530, 610, 2212, 12016, 454, 17445, 528, 540, 16711, 454, 299, 545, 10234, 15642, 1049, 29237, 454, 2080, 781, 606, 4277, 7688, 585, 596, 269, 0, 763, 3575, 540, 1585, 3029, 540, 5007, 7482, 267, 1634, 607, 3854, 267, 1031, 547, 8804, 513, 1870, 563, 22479, 1388, 12856, 630, 5425, 264, 4016, 547, 513, 2754, 781, 8167, 540, 7963, 543, 9698, 1031, 676, 621, 547, 8804, 922, 4238, 563, 2005, 568, 2556, 585, 513, 1870, 547, 3313, 519, 5888, 540, 922, 2883, 2497, 269, 898, 14122, 14045, 875, 1454, 2724, 547, 6318, 689, 1142, 2707, 540, 7616, 563, 1103, 2110, 267, 621, 2337, 519, 2754, 6430, 593, 519, 5686, 540, 19736, 547, 581, 9783, 543, 741, 3448, 8167, 538, 519, 3854, 563, 2467, 616, 1079, 2959, 540, 1870, 8804, 268, 5411, 262, 7482, 610, 9698, 543, 22666, 7482, 610, 7963, 563, 13420, 640, 4016, 547, 519, 2179, 540, 3854, 11262, 676, 519, 5411, 267, 1775, 4318, 1421, 519, 2754, 781, 23265, 563, 2005, 5161, 540, 9698, 2671, 3854, 267, 13283, 2671, 3854, 267, 17477, 15271, 610, 14425, 267, 543, 21045, 563, 5719, 23336, 4016, 547, 519, 2179, 540, 2724, 7640, 539, 676, 519, 1870, 547, 16080, 11107, 267, 1775, 4318, 1421, 1004, 824, 982, 519, 5411, 540, 519, 2754, 563, 2005, 568, 538, 519, 1106, 540, 12029, 267, 3181, 550, 999, 267, 1857, 12074, 267, 3092, 1421, 543, 666, 581, 22666, 689, 8492, 267, 824, 2883, 5238, 267, 3181, 550, 675, 25963, 267, 543, 519, 1857, 563, 13828, 7963, 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 ]
[ 543, 3544, 540, 1250, 29199, 269, 898, 17236, 1247, 2712, 3215, 543, 593, 15700, 5225, 948, 803, 27205, 543, 2303, 803, 930, 1434, 522, 842, 618, 610, 4915, 269, 11289, 596, 563, 4504, 571, 17458, 710, 3457, 610, 594, 11070, 616, 570, 8032, 15333, 21082, 3457, 269, 1452, 2270, 26550, 517, 3073, 652, 7758, 610, 7601, 543, 616, 17332, 883, 519, 19786, 269, 594, 11070, 338, 616, 2808, 547, 581, 835, 540, 519, 1034, 2500, 4332, 1852, 3800, 543, 849, 789, 616, 31181, 630, 26074, 621, 666, 581, 6569, 8164, 513, 991, 14340, 1040, 634, 7601, 594, 308, 323, 814, 513, 5821, 2557, 540, 476, 271, 269, 279, 9077, 1247, 519, 26550, 517, 3073, 652, 7758, 594, 11070, 814, 1152, 1185, 476, 271, 269, 273, 260, 14286, 11489, 1631, 269, 1306, 829, 513, 1867, 538, 476, 1220, 278, 267, 594, 11070, 338, 616, 1031, 676, 811, 982, 476, 5197, 2929, 3755, 782, 936, 519, 1158, 563, 1432, 596, 1058, 917, 827, 2271, 571, 17458, 710, 3457, 912, 268, 9537, 540, 594, 11070, 338, 281, 1703, 616, 476, 273, 2010, 540, 594, 11070, 338, 21019, 543, 26268, 821, 281, 21019, 594, 11070, 568, 2808, 547, 581, 519, 6671, 1106, 540, 519, 15333, 21082, 269, 898, 568, 570, 8032, 609, 12673, 543, 568, 17332, 883, 519, 19786, 676, 513, 4387, 269, 898, 666, 2611, 538, 519, 1560, 585, 1614, 547, 2947, 1296, 269, 3687, 5028, 568, 513, 1634, 6216, 540, 519, 9449, 594, 11070, 269, 898, 3568, 1970, 9570, 540, 9449, 1322, 652, 514, 543, 13847, 519, 1482, 950, 17332, 538, 519, 19786, 269, 901, 568, 849, 570, 8032, 543, 814, 12673, 269, 901, 666, 581, 2451, 585, 1614, 1296, 563, 268, 19994, 17771, 5563, 616, 711, 3361, 676, 594, 11070, 338, 281, 1703, 568, 513, 3661, 602, 594, 11070, 338, 2014, 23856, 3968, 855, 713, 568, 711, 3020, 269, 634, 12673, 540, 519, 1007, 594, 11070, 338, 616, 1360, 6094, 543, 789, 798, 711, 2014, 1022, 23856, 3968, 1256, 952, 513, 1268, 568, 7092, 689, 513, 16770, 10299, 3968, 630, 306, 2316, 1040, 9282, 972, 1522, 581, 513, 13581, 1981, 540, 3968, 950, 519, 594, 11070, 568, 17332, 543, 538, 519, 1101, 476, 736, 2395, 267, 855, 602, 849, 4744, 11510, 4166, 563, 268, 594, 11070, 666, 581, 1031, 693, 1022, 2085, 281, 2423, 17067, 594, 11070, 338, 941, 711, 5227, 585, 2021, 945, 1185, 2760, 3893, 9176, 269, 1717, 267, 1631, 4896, 666, 946, 891, 28000, 540, 1373, 9176, 610, 711, 269, 898, 568, 1360, 2922, 585, 782, 2085, 2516, 689, 14038, 547, 2021, 3238, 538, 3742, 3023, 547, 2021, 2022, 22797, 563, 268, 594, 11070, 568, 607, 2500, 607, 3478, 513, 8685, 531, 561, 12720, 281, 898, 568, 5156, 602, 3687, 5028, 568, 476, 4200, 269, 275, 260, 2500, 1247, 10322, 16478, 630, 30344, 531, 561, 12720, 264, 568, 476, 4200, 260, 2500, 538, 7303, 513, 6379, 269, 700, 12720, 568, 2808, 547, 581, 513, 8628, 4332, 1852, 3070, 267, 1247, 594, 11070, 338, 666, 581, 20328, 563, 268, 594, 11070, 338, 798, 711, 2014, 26983, 281, 898, 729, 5156, 602, 513, 590, 2316, 1131, 28869, 883, 519, 10652, 6665, 998, 519, 5569, 540, 519, 594, 11070, 543, 2014, 26983, 855, 713, 568, 711, 865, 269, 9282, 513, 590, 2316, 666, 2014, 26983, 855, 519, 594, 11070, 814, 1100, 1909, 538, 519, 1482, 543, 1281, 711, 3565, 610, 22009, 519, 3968, 563, 268, 26268, 4689, 594, 11070, 723, 1447, 2427, 2360, 982, 4332, 1852, 21447, 281, 23213, 31926, 267, 18383, 267, 543, 11702, 585, 513, 2110, 942, 949, 6414, 585, 519, 3355, 476, 274, 268, 275, 3275, 538, 2013, 540, 17441, 594, 11070, 338, 269, 634, 7601, 594, 11070, 1291, 547, 16081, 4771, 543, 5230, 2095, 1282, 28689, 269, 1403, 596, 6999, 547, 1865, 827, 1022, 1808, 1966, 267, 596, 666, 5077, 513, 575, 2106, 320, 1815, 6048, 543, 2307, 513, 1863, 2243, 563, 289, 9500, 1852, 21447, 4122, 1634, 607, 17441, 21447, 267, 5711, 15333, 21082, 21447, 267, 610, 1175, 10788, 781, 616, 606, 2500, 4775, 17441, 4332, 9013, 10788, 269, 8479, 2021, 543, 15730, 6690, 616, 1360, 4749, 11311, 4332, 1852, 21447, 585, 5230, 610, 12150, 18492, 2095, 267, 18383, 267, 623, 5960, 267, 9449, 3797, 267, 18492, 25574, 269, 769, 12443, 1097, 10973, 29191, 776, 15540, 630, 303, 26714, 1070, 799, 3123, 12150, 18492, 2095, 1813, 547, 17441, 2242, 267, 1419, 4332, 1852, 21447, 616, 2016, 547, 2539, 519, 10399, 543, 3142, 873, 1369, 3339, 2039, 269, 901, 849, 21560, 519, 18492, 2095, 269, 10705, 15730, 6690, 945, 798, 711, 4431, 547, 18383, 2126, 616, 11311, 17441, 21447, 269, 4746, 267, 891, 616, 2016, 547, 6690, 945, 723, 26707, 686, 2670, 267, 12150, 5712, 267, 543, 4719, 2175, 899, 25306, 781, 6794, 563, 3519, 1356, 985, 2404, 609, 21447, 912, 272, 264, 1684, 519, 623, 1571, 723, 1022, 1072, 2640, 281, 8786, 267, 621, 814, 2640, 899, 2126, 540, 623, 26714, 267, 18383, 267, 21560, 18492, 2095, 267, 11081, 25574, 267, 543, 24506, 519, 1981, 540, 11871, 543, 17350, 630, 3104, 811, 827, 17350, 1860, 593, 1072, 1916, 273, 264, 1548, 616, 519, 2427, 2360, 540, 519, 10788, 281, 4107, 569, 621, 814, 1100, 2101, 1966, 607, 971, 269, 623, 1571, 5627, 21110, 1522, 2333, 519, 1981, 540, 3384, 28163, 538, 4064, 267, 9641, 267, 543, 7953, 269, 1403, 513, 4807, 5360, 1622, 540, 589, 6224, 2464, 1287, 1352, 1058, 581, 3144, 547, 519, 6595, 563, 288, 2806, 12645, 1928, 454, 290, 30446, 1928, 454, 295, 10361, 5995, 2059, 609, 21994, 543, 8467, 454, 292, 16685, 2042, 2059, 609, 2042, 538, 4633, 454, 306, 27275, 1928, 538, 519, 25427, 610, 28419, 454, 274, 264, 1772, 972, 513, 1981, 540, 3384, 8482, 610, 2295, 6285, 1247, 1210, 519, 10788, 281, 589, 2635, 4807, 945, 1281, 711, 8673, 543, 568, 593, 21447, 1281, 711, 723, 1022, 1981, 540, 3478, 513, 8482, 610, 513, 2295, 4323, 269, 25003, 1058, 581, 14284, 950, 4332, 1852, 21447, 723, 1044, 11311, 563, 275, 264, 3657, 972, 8458, 540, 3478, 2860, 281, 14171, 4332, 1852, 21447, 2965, 14014, 519, 4807, 1996, 25073, 543, 19786, 2860, 269, 2368, 4966, 849, 1745, 602, 519, 10788, 849, 6971, 519, 8458, 540, 6089, 2860, 563, 276, 264, 6496, 519, 10788, 2014, 1973, 28163, 281, 8786, 267, 972, 568, 2370, 1981, 540, 3384, 28163, 538, 519, 7953, 269, 769, 15730, 6690, 519, 1981, 540, 8108, 28163, 568, 476, 276, 268, 2004, 829, 476, 1911, 267, 1822, 1169, 1032, 269, 769, 9176, 2021, 519, 1981, 568, 476, 275, 269, 274, 268, 1015, 26642, 811, 982, 1346, 945, 798, 711, 946, 519, 10788, 563, 277, 264, 6496, 519, 10788, 2014, 4332, 12889, 281, 634, 10788, 814, 711, 1044, 2404, 609, 1022, 4332, 12889, 543, 849, 1281, 711, 2800, 519, 1072, 540, 519, 1126, 563, 278, 264, 1215, 1281, 519, 10788, 948, 538, 12150, 18492, 2095, 543, 18383, 912, 1103, 2013, 540, 12150, 28689, 519, 10788, 2337, 676, 15725, 519, 18492, 4783, 547, 1169, 476, 2764, 2395, 269, 898, 849, 2337, 547, 2569, 519, 2179, 543, 519, 3259, 540, 519, 28689, 563, 763, 10399, 1459, 538, 519, 10788, 948, 547, 3247, 519, 18383, 269, 744, 12839, 610, 11311, 5061, 666, 581, 3144, 585, 9793, 547, 4049, 18383, 563, 17098, 1775, 993, 2921, 23397, 517, 476, 2641, 1554, 10788, 689, 795, 2317, 269, 7323, 539, 2034, 2063, 23060, 609, 519, 2063, 267, 2736, 540, 476, 277, 2395, 689, 476, 273, 268, 278, 5104, 569, 269, 631, 5151, 689, 476, 276, 268, 278, 9857, 569, 269, 1715, 3640, 689, 476, 279, 628, 5104, 569, 269, 13363, 539, 26697, 855, 598, 3256, 1031, 4278, 823, 593, 476, 280, 628, 5104, 569, 630, 14140, 4626, 342, 26697, 264, 8921, 4628, 6870, 593, 476, 1691, 628, 5104, 569, 630, 18431, 26697, 264, 7323, 539, 476, 2641, 560, 5104, 569, 10788, 23060, 476, 2420, 526, 5104, 569, 3781, 269, 8752, 11702, 593, 476, 2420, 526, 5104, 569, 6640, 630, 19874, 10843, 18053, 610, 15498, 566, 18053, 24047, 30346, 8694, 593, 476, 2764, 628, 5104, 569, 544, 5151, 689, 476, 272, 268, 277, 11160, 269, 20134, 554, 696, 693, 476, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 1556, 267, 1321, 4374, 782, 2942, 554, 696, 2944, 609, 1101, 6640, 10729, 609, 1114, 12478, 269, 3143, 21447, 610, 26697, 1310, 476, 272, 268, 277, 13774, 269, 11270, 338, 1813, 593, 476, 272, 560, 31027, 607, 621, 546, 842, 3357, 1705, 513, 721, 326, 543, 554, 322, 326, 12498, 593, 476, 279, 628, 31027, 630, 1015, 4374, 689, 1101, 543, 476, 280, 4374, 689, 2063, 26697, 264, 670, 322, 326, 729, 476, 271, 269, 1556, 543, 721, 326, 2982, 26099, 617, 630, 7224, 2446, 540, 6379, 264, 3220, 269, 3465, 8282, 1821, 597, 344, 476, 273, 9184, 585, 476, 276, 2395, 585, 15639, 18053, 269, 1809, 1310, 2921, 1175, 513, 2582, 9570, 11702, 3323, 689, 476, 1556, 268, 1626, 628, 31027, 269, 898, 729, 5230, 269, 2201, 476, 2641, 560, 31027, 6640, 950, 594, 530, 5803, 909, 594, 666, 1745, 1250, 23856, 5642, 538, 519, 4395, 630, 4754, 621, 581, 1813, 547, 5751, 899, 1835, 31708, 1850, 4473, 3092, 609, 2597, 2530, 286, 594, 729, 476, 7761, 538, 5104, 569, 476, 3583, 538, 11160, 543, 1631, 594, 993, 3592, 476, 6924, 4846, 338, 264, 543, 1310, 6024, 15700, 594, 1500, 621, 10413, 269, 2480, 1563, 4682, 585, 721, 326, 593, 476, 2641, 560, 31027, 630, 1321, 4374, 10264, 558, 1101, 543, 476, 1556, 4374, 689, 15255, 337, 26697, 264, 2974, 326, 1152, 4951, 4439, 5652, 30124, 609, 26099, 617, 269, 594, 4280, 1864, 952, 1250, 19786, 729, 3339, 646, 1767, 922, 11613, 3339, 269, 2974, 326, 729, 1098, 629, 12645, 269, 634, 21052, 2943, 711, 8854, 269, 5047, 544, 1166, 333, 575, 29983, 782, 519, 942, 543, 594, 524, 333, 1745, 14815, 896, 1250, 10775, 543, 1394, 543, 544, 8429, 6266, 540, 3154, 269, 631, 14126, 1932, 269, 7053, 1654, 3144, 606, 554, 696, 609, 1101, 6640, 10729, 693, 3592, 476, 1321, 4374, 476, 277, 2395, 269, 1656, 922, 2942, 269, 2052, 741, 1869, 581, 1981, 540, 6379, 286, 3733, 544, 5151, 729, 1813, 593, 476, 1556, 628, 12354, 3426, 543, 621, 568, 1631, 16607, 676, 476, 276, 2395, 269, 594, 1705, 711, 723, 1022, 26697, 1310, 476, 1691, 628, 5104, 569, 269, 631, 711, 7680, 1022, 533, 916, 2589, 269, 5047, 4212, 3043, 17818, 22024, 568, 2938, 693, 1585, 1448, 540, 519, 4783, 269, 4024, 594, 7227, 585, 1250, 5712, 547, 2097, 610, 786, 594, 1586, 1491, 9184, 1821, 597, 344, 286, 1772, 741, 1022, 1981, 540, 6379, 286, 1684, 594, 991, 547, 2699, 334, 554, 696, 610, 645, 18449, 294, 1449, 286, 631, 594, 476, 1911, 260, 2922, 888, 8923, 2491, 519, 623, 4596, 291, 26998, 568, 651, 24917, 25697, 737, 15546, 28050, 568, 6390, 476, 10042, 1794, 737, 5984, 688, 328, 737, 5984, 24924, 1690, 737, 541, 928, 694, 9493, 795, 611, 694, 25697, 1002, 332, 11876, 1236, 3279, 554, 563, 296, 723, 513, 13581, 1966, 538, 21155, 983, 1353, 269, 22859, 20567, 568, 3478, 3735, 269, 1924, 1974, 673, 4266, 568, 1419, 3735, 269, 1403, 621, 781, 476, 275, 547, 476, 276, 2395, 3735, 594, 993, 3478, 930, 2168, 1966, 269, 20944, 519, 6765, 538, 476, 1001, 274, 269, 1924, 1018, 594, 1058, 1491, 538, 1426, 610, 711, 888, 288, 31761, 267, 1498, 2295, 530, 3402, 532, 267, 1281, 711, 17538, 519, 1439, 540, 519, 1158, 269, 28791, 519, 31761, 568, 606, 6364, 540, 513, 3978, 1072, 28658, 267, 972, 568, 4986, 547, 6336, 2295, 269, 769, 1249, 267, 1082, 2021, 723, 1185, 3811, 26691, 1256, 1310, 513, 31761, 269, 645, 18732, 513, 1906, 17756, 267, 513, 31761, 1282, 519, 1101, 6379, 6971, 519, 4960, 540, 513, 31761, 1282, 7766, 26691, 3648, 269, 1717, 267, 621, 568, 1655, 547, 1205, 707, 22027, 543, 31536, 687, 23498, 1354, 596, 2119, 547, 32230, 1586, 269, 1323, 4810, 575, 2106, 320, 1815, 6048, 666, 4217, 543, 3391, 596, 1732, 2429, 519, 1184, 563, 268, 589, 2603, 540, 15185, 4898, 827, 519, 1318, 942, 547, 32230, 1310, 513, 31761, 269, 1684, 711, 19060, 883, 1919, 269, 631, 4593, 541, 5846, 666, 8963, 856, 513, 7008, 9308, 267, 15508, 543, 14156, 269, 12315, 707, 2247, 543, 1560, 930, 942, 547, 11883, 609, 519, 2530, 269, 2659, 3375, 547, 9784, 30822, 11856, 1058, 711, 581, 6766, 676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7298, 1769, 563, 3674, 3109, 538, 519, 22774, 888, 8133, 267, 519, 22774, 814, 782, 519, 4778, 269, 3143, 267, 972, 616, 6654, 1806, 540, 4778, 711, 538, 519, 22774, 281, 6960, 267, 3109, 267, 12457, 267, 829, 12685, 30257, 267, 3092, 10756, 3674, 4154, 513, 2681, 888, 20112, 267, 849, 1572, 11344, 267, 568, 513, 2681, 269, 634, 1357, 2681, 4154, 568, 3006, 5219, 547, 607, 11344, 547, 10646, 621, 689, 519, 2681, 17285, 4154, 269, 634, 946, 540, 4154, 607, 513, 2681, 2165, 538, 2757, 6165, 568, 811, 1419, 4294, 547, 519, 2681, 968, 5471, 28351, 4154, 892, 630, 3333, 1144, 2630, 1916, 1432, 568, 3109, 952, 711, 513, 2681, 888, 272, 269, 4563, 568, 711, 513, 2681, 282, 513, 3109, 1843, 25309, 782, 519, 4778, 540, 519, 7298, 8552, 543, 9356, 9039, 540, 873, 547, 519, 4064, 269, 634, 15454, 1858, 827, 3109, 281, 589, 3109, 1843, 949, 1413, 3109, 267, 855, 267, 20248, 267, 621, 949, 1869, 581, 10452, 930, 1769, 563, 3674, 3109, 513, 12094, 610, 513, 2051, 712, 888, 14937, 568, 519, 4158, 652, 2681, 267, 519, 1267, 540, 519, 9000, 610, 2347, 10338, 540, 7298, 1769, 269, 898, 568, 606, 513, 577, 668, 1738, 2681, 267, 513, 2681, 1510, 27280, 267, 899, 3043, 543, 12457, 269, 898, 568, 1419, 1031, 3090, 1227, 610, 19562, 8271, 547, 2099, 14334, 267, 1247, 3043, 4564, 1769, 563, 3963, 3043, 568, 711, 513, 2681, 888, 2252, 2681, 568, 9003, 519, 1259, 6323, 6257, 621, 267, 519, 7298, 8552, 540, 1769, 6329, 267, 1287, 3109, 543, 3043, 616, 856, 4751, 338, 543, 1810, 1406, 1293, 607, 3020, 267, 2168, 4778, 269, 27413, 899, 3043, 543, 11909, 616, 711, 1459, 538, 519, 8552, 1317, 789, 616, 519, 1267, 540, 938, 4064, 685, 11544, 20966, 540, 1769, 563, 4692, 596, 1205, 1114, 18707, 540, 3109, 888, 1103, 2681, 3069, 267, 513, 12094, 568, 513, 6986, 2681, 6404, 609, 3109, 269, 2560, 27413, 1419, 2808, 968, 3333, 3547, 540, 3109, 892, 1331, 593, 344, 343, 267, 3109, 14462, 267, 23315, 267, 543, 15191, 282, 891, 4778, 543, 824, 7648, 540, 3109, 616, 3254, 2630, 563, 3963, 3109, 568, 513, 2681, 888, 2026, 1022, 22774, 786, 6542, 267, 3109, 3884, 1406, 593, 519, 7298, 8552, 540, 2681, 269, 2353, 824, 4778, 616, 18759, 540, 1769, 267, 4849, 3109, 269, 4563, 568, 519, 9000, 540, 1769, 269, 2560, 1656, 1082, 798, 2015, 3109, 547, 581, 513, 2681, 267, 1317, 596, 9192, 824, 23416, 547, 1711, 621, 593, 1957, 563, 1432, 1079, 4778, 1118, 3043, 888, 2252, 596, 3575, 2699, 267, 3039, 267, 543, 4544, 1769, 267, 596, 1205, 3043, 1769, 269, 4414, 267, 3039, 267, 543, 4544, 630, 305, 16412, 264, 616, 5219, 547, 607, 519, 3119, 4778, 540, 1769, 269, 17186, 532, 519, 4778, 12958, 1007, 4778, 267, 607, 3254, 593, 519, 2681, 8868, 610, 5858, 593, 519, 1318, 269, 901, 568, 19605, 2681, 563, 3674, 24321, 312, 513, 2681, 610, 513, 12094, 888, 294, 9445, 610, 12457, 630, 13563, 2296, 4244, 282, 1294, 10259, 3604, 264, 568, 606, 13591, 2681, 1063, 3109, 543, 3043, 269, 898, 568, 513, 9243, 2681, 610, 513, 577, 668, 1738, 2681, 267, 2495, 12777, 602, 621, 568, 513, 2681, 968, 23719, 2681, 2223, 1317, 621, 666, 581, 7768, 540, 3109, 543, 3043, 563, 9989, 4563, 723, 782, 4778, 888, 14937, 568, 711, 513, 2681, 282, 513, 3109, 1843, 25309, 782, 519, 4778, 540, 519, 7298, 8552, 543, 9356, 9039, 540, 873, 547, 519, 4064, 269, 634, 15454, 1858, 827, 3109, 281, 589, 3109, 1843, 949, 1413, 3109, 267, 855, 267, 20248, 267, 621, 949, 1869, 581, 10452, 930, 1769, 269, 0, 2419, 691, 532, 519, 4473, 543, 2887, 540, 519, 17565, 540, 9838, 640, 267, 2961, 17763, 19776, 1007, 3029, 540, 2022, 8114, 12009, 3059, 23477, 547, 1688, 6194, 543, 519, 4529, 543, 4066, 540, 7648, 602, 11478, 1354, 519, 4947, 540, 3684, 13402, 267, 9838, 12215, 269, 2961, 17763, 8039, 519, 11200, 532, 540, 25274, 1759, 1374, 543, 4070, 689, 519, 2038, 476, 1960, 271, 338, 547, 519, 1459, 267, 543, 5267, 513, 1007, 16786, 585, 6189, 538, 606, 2085, 540, 4756, 3615, 543, 540, 13598, 543, 29355, 4589, 1222, 563, 763, 22843, 543, 519, 23990, 5675, 15339, 1948, 611, 910, 1809, 952, 519, 3059, 814, 2813, 513, 834, 1706, 611, 10176, 6521, 257, 585, 6189, 267, 799, 17565, 568, 13346, 286, 769, 634, 22843, 543, 519, 23990, 267, 631, 9222, 2961, 17763, 2798, 547, 835, 1883, 2259, 540, 29678, 281, 519, 1818, 540, 9838, 12215, 269, 7913, 4066, 723, 4957, 6189, 734, 1492, 1259, 621, 568, 6026, 267, 13736, 267, 7307, 267, 543, 14931, 563, 31819, 3059, 568, 4756, 269, 769, 6189, 267, 540, 7344, 32301, 267, 543, 540, 519, 15751, 1014, 267, 713, 1797, 519, 1439, 540, 711, 1049, 7687, 267, 2278, 658, 1259, 540, 2679, 676, 1374, 563, 763, 5822, 7913, 12414, 281, 5071, 15332, 11106, 5675, 15339, 763, 20037, 4964, 1948, 611, 910, 634, 1101, 3059, 2490, 538, 6189, 4957, 938, 2081, 540, 1818, 282, 519, 2034, 2242, 938, 2081, 540, 3206, 269, 20290, 513, 5108, 3516, 267, 519, 2038, 3301, 585, 2780, 29211, 1374, 543, 5663, 21957, 14727, 4456, 838, 1177, 2740, 513, 2511, 540, 5347, 543, 1225, 1324, 3515, 543, 7252, 602, 5795, 7298, 1106, 547, 519, 1101, 3059, 2085, 267, 543, 2451, 606, 30170, 1665, 593, 4207, 6189, 563, 3719, 2221, 781, 25274, 10995, 6189, 1100, 3476, 5654, 602, 1259, 269, 769, 519, 2034, 3059, 2490, 267, 544, 9222, 15790, 334, 6941, 602, 713, 568, 1317, 519, 1374, 22825, 616, 1631, 4947, 547, 2474, 609, 513, 1007, 2186, 540, 3059, 2645, 789, 723, 7550, 587, 499, 7224, 3476, 2645, 585, 1818, 855, 2645, 585, 3206, 269, 769, 519, 2038, 476, 1960, 271, 338, 519, 1374, 22825, 941, 519, 1101, 547, 703, 3726, 543, 4612, 519, 1007, 2930, 7954, 540, 519, 3059, 2085, 281, 3059, 2527, 2275, 2396, 1436, 519, 946, 540, 3059, 2645, 547, 2527, 1790, 28558, 7648, 693, 1100, 3063, 1942, 814, 2907, 4957, 519, 1259, 649, 3132, 543, 8532, 3592, 3388, 267, 543, 519, 1482, 2029, 4294, 547, 16450, 693, 1804, 568, 1631, 1200, 531, 3429, 513, 1007, 2486, 1510, 4336, 587, 499, 320, 6366, 8589, 1942, 2486, 1141, 8273, 6990, 786, 711, 1118, 4376, 14949, 563, 763, 5822, 7913, 12414, 281, 5071, 15332, 11106, 5675, 15339, 1948, 611, 910, 1809, 2221, 267, 519, 13778, 1379, 540, 19106, 849, 7957, 832, 513, 1007, 2186, 540, 2257, 1141, 12605, 666, 581, 1759, 593, 22406, 1344, 23023, 267, 543, 1106, 4466, 676, 11191, 543, 11938, 666, 5372, 17429, 794, 689, 6310, 12596, 269, 5071, 619, 723, 1044, 547, 3539, 609, 3684, 3206, 543, 3684, 1565, 585, 930, 942, 267, 543, 519, 15151, 4652, 987, 558, 762, 6988, 540, 519, 2168, 5546, 789, 616, 1631, 2870, 2907, 20475, 513, 1007, 1106, 540, 5841, 4987, 267, 3544, 519, 2245, 540, 2413, 2257, 543, 9813, 547, 519, 5214, 7954, 540, 938, 2247, 563, 763, 7913, 12414, 538, 15339, 476, 1960, 273, 910, 476, 1001, 273, 310, 13704, 1948, 611, 910, 631, 9222, 15790, 334, 2488, 606, 4230, 1393, 7650, 540, 519, 2487, 1686, 540, 3059, 1374, 538, 1010, 3102, 2606, 1557, 543, 538, 1010, 3401, 547, 1142, 3312, 1257, 269, 17972, 1883, 1568, 676, 9087, 320, 267, 18367, 2520, 327, 787, 267, 1990, 21036, 16874, 573, 267, 700, 1513, 1975, 8500, 15842, 2131, 270, 17472, 311, 267, 18498, 31670, 574, 267, 918, 553, 744, 8803, 327, 7572, 543, 15562, 334, 303, 269, 898, 814, 6592, 543, 14648, 519, 6891, 540, 519, 2053, 609, 12667, 17245, 8856, 267, 5807, 543, 1419, 9027, 908, 2629, 11265, 543, 7811, 7835, 563, 288, 1454, 2877, 24099, 543, 1382, 1907, 585, 1053, 543, 5640, 267, 713, 5348, 18462, 849, 12211, 519, 1459, 1533, 540, 7857, 1275, 538, 6189, 547, 519, 1686, 543, 3069, 540, 922, 2487, 1646, 543, 3466, 267, 543, 12651, 2152, 540, 2629, 2956, 585, 519, 4207, 2259, 540, 519, 1374, 22825, 563, 288, 3102, 16320, 1108, 593, 3059, 6189, 12995, 676, 835, 540, 922, 1034, 900, 5799, 5640, 538, 713, 2361, 267, 631, 9222, 2961, 17763, 269, 11629, 1116, 1374, 740, 814, 9676, 873, 782, 1107, 689, 24208, 547, 2166, 1499, 10628, 267, 11944, 267, 689, 4528, 532, 547, 7097, 532, 267, 1875, 1467, 10846, 543, 28810, 584, 5865, 267, 1344, 20592, 543, 4164, 13011, 1143, 563, 763, 7913, 12414, 538, 15339, 476, 1960, 273, 910, 476, 1001, 273, 1948, 611, 910, 3767, 3592, 476, 736, 1296, 2025, 267, 519, 3059, 2490, 538, 6189, 814, 2907, 8854, 998, 1896, 5933, 543, 11775, 269, 22291, 25761, 5931, 676, 536, 1716, 731, 21461, 267, 8834, 29276, 2006, 267, 3627, 17793, 10045, 267, 8176, 23514, 4242, 267, 15535, 22118, 333, 267, 21926, 574, 631, 10622, 543, 4793, 20891, 5576, 636, 12329, 269, 901, 16320, 1108, 540, 740, 779, 1034, 32330, 4930, 568, 12225, 10999, 543, 873, 5597, 11231, 547, 1683, 513, 2347, 3140, 15415, 540, 519, 2487, 4473, 547, 840, 15041, 29561, 540, 2780, 2861, 1374, 543, 2504, 563, 763, 25334, 2225, 540, 606, 18104, 15339, 5675, 15339, 763, 20037, 4964, 1948, 611, 910, 4256, 3785, 585, 519, 2749, 798, 711, 1491, 519, 1106, 540, 606, 2949, 1544, 855, 616, 6829, 607, 606, 968, 1105, 28396, 892, 540, 3135, 10391, 7459, 269, 769, 519, 13287, 540, 519, 7872, 540, 606, 6207, 6189, 267, 519, 824, 568, 519, 2230, 540, 519, 2749, 267, 922, 3573, 3919, 267, 543, 922, 2229, 269, 589, 675, 2993, 3096, 519, 2165, 6207, 711, 538, 519, 6671, 2631, 540, 968, 335, 675, 267, 9232, 855, 547, 20301, 1945, 602, 568, 759, 5193, 569, 3294, 1310, 1373, 9674, 689, 922, 824, 563, 19425, 3538, 1116, 1106, 556, 4621, 30872, 538, 1769, 540, 513, 1770, 776, 17748, 540, 6189, 543, 519, 2749, 269, 769, 519, 7872, 540, 606, 6207, 6189, 267, 2686, 267, 623, 1512, 966, 8636, 528, 1470, 589, 675, 2993, 23083, 602, 513, 8325, 2989, 6101, 9637, 538, 6189, 568, 513, 26608, 1288, 585, 2797, 267, 543, 1514, 6278, 609, 519, 2749, 563, 763, 25334, 2225, 540, 606, 18104, 15339, 5675, 15339, 1948, 611, 910, 15348, 568, 30748, 1143, 998, 9668, 543, 30925, 282, 519, 1360, 2783, 540, 11265, 1106, 568, 547, 5094, 543, 581, 9674, 269, 589, 675, 2993, 20460, 1080, 519, 960, 540, 2185, 16413, 4171, 3785, 941, 4359, 998, 519, 1818, 540, 11265, 1106, 855, 4171, 6161, 729, 519, 2749, 693, 1804, 281, 1656, 16699, 623, 718, 611, 1470, 267, 16902, 990, 28839, 645, 3430, 16695, 623, 597, 6951, 328, 267, 27878, 339, 1329, 928, 8402, 5174, 537, 961, 19902, 267, 543, 744, 1873, 12245, 4569, 5362, 772, 978, 619, 563, 7437, 922, 957, 540, 9668, 543, 1373, 9674, 267, 6189, 8761, 693, 2899, 519, 9759, 540, 519, 2749, 543, 519, 9759, 540, 3294, 607, 2797, 1106, 281, 519, 2749, 607, 519, 5888, 540, 5094, 2694, 269, 634, 960, 540, 891, 16413, 267, 589, 675, 2993, 13187, 267, 9619, 519, 14759, 540, 519, 2413, 2749, 543, 922, 4683, 6286, 998, 519, 11840, 566, 540, 1808, 543, 7580, 11265, 3029, 563, 288, 2637, 7002, 9609, 540, 7073, 15339, 281, 22414, 11879, 5811, 540, 29740, 4813, 299, 12678, 631, 26097, 2207, 1948, 611, 910, 634, 5656, 616, 3379, 538, 2474, 540, 741, 21712, 8901, 1931, 267, 10009, 2497, 543, 1201, 22460, 3877, 269, 634, 9382, 616, 6896, 865, 607, 547, 1397, 1018, 568, 2147, 543, 1114, 1063, 1079, 19610, 2010, 267, 3976, 13031, 875, 2413, 2245, 814, 1044, 3309, 569, 1102, 21124, 269, 6762, 569, 11609, 267, 834, 320, 2637, 7002, 9609, 540, 7073, 15339, 257, 568, 513, 1007, 3044, 960, 538, 11265, 2069, 563, 299, 1513, 631, 1638, 518, 23255, 269, 589, 5444, 30688, 540, 2413, 6189, 257, 568, 513, 4704, 960, 593, 2413, 6189, 676, 26366, 996, 13368, 17980, 267, 835, 540, 2221, 779, 3056, 11265, 28466, 269, 1230, 18727, 607, 513, 5444, 30688, 540, 14206, 2540, 6189, 689, 476, 4572, 275, 547, 476, 1220, 271, 267, 621, 735, 3796, 930, 28465, 13354, 9382, 540, 28138, 2413, 5656, 8151, 689, 14266, 533, 822, 559, 687, 543, 4357, 8075, 547, 5604, 5656, 543, 1585, 5686, 540, 1857, 5238, 563, 19445, 9177, 538, 15339, 281, 1323, 4985, 585, 519, 5071, 5584, 687, 289, 597, 16223, 7564, 12528, 15339, 1948, 611, 910, 4653, 779, 23292, 7835, 538, 3059, 2029, 723, 849, 4299, 6189, 543, 519, 4683, 5251, 269, 901, 4320 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 519, 2295, 540, 3504, 7507, 267, 1282, 922, 1000, 559, 697, 1296, 267, 5030, 1079, 2828, 910, 13198, 857, 639, 267, 513, 8797, 543, 31544, 6845, 1807, 267, 543, 7665, 574, 639, 267, 513, 12703, 2943, 3905, 32567, 17199, 269, 1358, 6170, 9118, 3108, 3181, 908, 519, 12556, 540, 741, 11537, 10504, 1247, 11981, 11680, 540, 5386, 9174, 538, 13198, 857, 639, 262, 5636, 320, 6772, 8504, 519, 17072, 780, 3080, 1554, 267, 607, 789, 14478, 519, 3141, 4259, 936, 519, 2749, 267, 7206, 519, 6607, 609, 24698, 540, 10538, 543, 2699, 267, 13198, 857, 639, 4547, 909, 519, 1888, 602, 1185, 1044, 20807, 532, 873, 585, 3275, 269, 834, 16655, 574, 639, 267, 1250, 2025, 3659, 2437, 646, 1767, 267, 2220, 26325, 1010, 979, 1076, 339, 267, 834, 6343, 798, 596, 1589, 616, 519, 3119, 4128, 3297, 938, 1390, 10504, 781, 7771, 12482, 16655, 574, 639, 10709, 539, 1394, 538, 1010, 11381, 267, 575, 5074, 693, 519, 11397, 2051, 657, 572, 636, 269, 1261, 14452, 6612, 2299, 267, 834, 2005, 568, 2312, 607, 1554, 267, 13198, 857, 639, 256, 3776, 1850, 687, 14679, 1932, 2484, 267, 1951, 1456, 938, 1726, 21204, 543, 6028, 721, 7925, 1701, 901, 3948, 16079, 539, 519, 1101, 2014, 5018, 4505, 910, 21467, 343, 335, 6416, 543, 4108, 7836, 780, 299, 18676, 639, 21330, 24617, 1354, 14775, 267, 834, 12148, 267, 855, 2015, 713, 910, 1018, 1434, 568, 606, 7952, 952, 938, 1378, 14761, 2695, 6387, 2476, 519, 24401, 2812, 286, 4856, 8306, 694, 10134, 883, 1169, 7944, 540, 938, 14081, 267, 4232, 1154, 621, 689, 1369, 1701, 3371, 267, 13198, 857, 639, 12006, 519, 2034, 3815, 281, 2797, 16132, 543, 13313, 780, 288, 22700, 9411, 1175, 1287, 267, 3045, 23395, 12129, 729, 6039, 269, 1306, 789, 546, 1441, 593, 28777, 1630, 541, 543, 4195, 5388, 267, 741, 6643, 5828, 2509, 9297, 267, 1776, 1883, 23784, 547, 7507, 781, 31774, 269, 8528, 257, 5978, 1004, 7985, 896, 5230, 9204, 267, 15210, 13198, 857, 639, 2437, 7665, 574, 639, 561, 3512, 539, 1063, 17486, 269, 834, 21953, 267, 3079, 540, 5466, 891, 2152, 267, 938, 3401, 1899, 741, 22836, 15323, 299, 18676, 639, 8815, 267, 4946, 267, 834, 4517, 865, 267, 10637, 14380, 267, 9292, 1154, 1346, 945, 666, 6488, 621, 2547, 269, 1284, 1590, 2232, 891, 16642, 530, 3996, 1354, 789, 8532, 721, 7357, 1701, 4935, 267, 789, 20109, 2390, 519, 3791, 2601, 910, 2804, 13542, 780, 5475, 12129, 267, 789, 6410, 547, 519, 4677, 1141, 513, 32446, 3276, 16940, 28663, 9624, 18932, 3039, 2044, 269, 1703, 267, 896, 519, 5182, 26569, 6607, 267, 789, 5941, 519, 3803, 9514, 547, 741, 1835, 22824, 10340, 910, 32042, 676, 3046, 321, 4115, 11031, 780, 257, 5445, 2097, 899, 1327, 755, 338, 267, 8781, 3388, 538, 8289, 2437, 7665, 574, 639, 9597, 332, 3293, 1989, 574, 569, 269, 834, 2252, 1152, 649, 1223, 26595, 1996, 873, 907, 3010, 8266, 2287, 23900, 729, 29849, 267, 513, 1762, 10553, 7911, 8655, 547, 4196, 13198, 857, 639, 269, 27837, 676, 519, 4901, 267, 646, 4956, 547, 957, 269, 20283, 532, 824, 10437, 267, 646, 6069, 513, 1544, 547, 7794, 519, 2749, 781, 23640, 1210, 741, 7104, 1983, 269, 6736, 3355, 25949, 267, 789, 4166, 1336, 2933, 2324, 1927, 267, 17923, 6821, 543, 28472, 7745, 9604, 780, 19602, 267, 3377, 540, 741, 3646, 6603, 1978, 18348, 8387, 267, 26354, 30891, 269, 6452, 6748, 13198, 857, 639, 540, 1651, 1746, 18326, 267, 789, 771, 6312, 3481, 7980, 547, 10654, 1864, 269, 1717, 267, 950, 21947, 267, 13198, 857, 639, 11542, 6109, 267, 32222, 547, 10205, 1010, 16431, 269, 6764, 5962, 676, 1010, 8699, 267, 1082, 7980, 8678, 4229, 609, 519, 30280, 780, 12988, 539, 676, 6397, 16167, 267, 13198, 857, 639, 7858, 7007, 4708, 21308, 609, 15231, 11031, 267, 5356, 4123, 2864, 982, 2112, 269, 3571, 20320, 1935, 4389, 3984, 1988, 3648, 267, 18445, 602, 12560, 30398, 729, 2009, 1256, 538, 31341, 6681, 2053, 780, 4913, 267, 711, 782, 8694, 1134, 269, 3509, 14761, 4797, 741, 13587, 527, 995, 2081, 267, 3056, 547, 2417, 1193, 1057, 269, 8616, 267, 5103, 519, 14784, 267, 5452, 540, 1689, 941, 521, 1144, 269, 27919, 267, 7881, 267, 543, 1966, 9010, 2968, 13057, 3741, 1851, 8723, 4961, 267, 3246, 4126, 585, 513, 1732, 2104, 780, 1103, 519, 1439, 267, 519, 2887, 540, 519, 4936, 7276, 7012, 1405, 8806, 1813, 547, 5007, 6937, 610, 4835, 9178, 282, 621, 729, 849, 827, 1367, 5079, 543, 7104, 2962, 269, 3414, 13198, 857, 639, 267, 7665, 574, 639, 267, 543, 1256, 1762, 29849, 267, 519, 1650, 25967, 1819, 519, 4644, 540, 7555, 909, 585, 1018, 781, 1318, 267, 5807, 9322, 267, 543, 8508, 5647, 910, 15851, 4245, 10858, 3564, 519, 6302, 540, 3504, 7507, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 18658, 941, 519, 3119, 3123, 540, 519, 2887, 540, 519, 4936, 7276, 888, 296, 798, 711, 723, 4978, 267, 2418, 610, 2123, 8369, 267, 855, 1775, 666, 1683, 596, 609, 3140, 5013, 269, 12206, 3622, 1448, 547, 513, 4999, 540, 4835, 543, 5007, 2188, 602, 8329, 547, 519, 2887, 540, 519, 19005, 10504, 267, 1519, 1384, 272, 269, 21467, 343, 335, 6416, 543, 4108, 7836, 1107, 519, 10504, 781, 3586, 7269, 3366, 547, 606, 21467, 868, 3290, 540, 2200, 543, 812, 12741, 269, 519, 1942, 540, 4509, 971, 513, 5318, 10504, 267, 2523, 519, 4108, 267, 2322, 513, 1713, 8833, 593, 519, 4346, 780, 273, 269, 2797, 16132, 543, 13313, 1107, 4835, 1379, 9620, 267, 23696, 3401, 267, 543, 13313, 1369, 519, 2229, 18604, 519, 10504, 781, 2702, 547, 1827, 543, 2149, 922, 10665, 780, 274, 269, 2804, 13542, 1107, 10637, 267, 1970, 7607, 267, 543, 7050, 21259, 18604, 519, 19005, 4346, 543, 1500, 621, 811, 11630, 547, 5007, 12503, 780, 275, 269, 12289, 676, 3046, 321, 4115, 11031, 1107, 3046, 321, 4115, 11031, 689, 519, 5087, 543, 7532, 3459, 547, 986, 573, 543, 28117, 19005, 8513, 267, 2322, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 3848, 7170, 281, 15775, 547, 5700, 3776, 15328, 6193, 27199, 26092, 281, 4197, 6987, 337, 831, 14111, 5020, 692, 7072, 912, 5970, 596, 2479, 6743, 909, 883, 519, 3781, 6607, 543, 9289, 952, 972, 616, 824, 2713, 7919, 856, 972, 286, 1411, 2811, 711, 4805, 256, 12207, 267, 3173, 267, 543, 5326, 619, 7567, 723, 11432, 1229, 713, 2243, 585, 5553, 269, 2755, 649, 10093, 1405, 1336, 2370, 3039, 2367, 610, 6158, 2831, 689, 9018, 2230, 1175, 2943, 267, 621, 781, 1869, 1187, 547, 4952, 1018, 9813, 1272, 1522, 581, 899, 269, 2913, 781, 2263, 930, 7399, 1927, 2439, 4089, 476, 272, 281, 1548, 3657, 1325, 16772, 888, 1103, 2257, 5708, 2835, 267, 9413, 267, 543, 7641, 2982, 267, 834, 8932, 839, 257, 3277, 547, 10995, 7919, 689, 824, 10785, 610, 15270, 269, 1452, 7919, 666, 2097, 538, 1082, 5546, 543, 7306, 267, 8151, 689, 3168, 1360, 2147, 547, 3425, 547, 1373, 7357, 11389, 322, 1758, 14184, 269, 2368, 30659, 1256, 4865, 2027, 7060, 3564, 938, 1620, 256, 5457, 267, 1498, 267, 891, 26007, 616, 1419, 1759, 593, 9345, 2864, 982, 3621, 5013, 780, 2691, 3744, 2911, 827, 30659, 267, 789, 2356, 1611, 7103, 602, 2671, 1978, 4162, 609, 1272, 593, 3047, 267, 971, 607, 3395, 267, 10063, 1424, 267, 14775, 547, 741, 1604, 267, 543, 9687, 936, 942, 269, 1717, 267, 891, 31373, 14111, 7919, 1223, 849, 8428, 3648, 689, 4376, 649, 917, 267, 2016, 519, 12808, 3099, 540, 2175, 2429, 519, 7122, 780, 4089, 476, 273, 281, 1215, 631, 697, 1325, 16772, 6056, 888, 3412, 698, 1456, 875, 30659, 1589, 568, 3833, 4101, 2094, 649, 1810, 1405, 917, 2436, 789, 2291, 610, 1018, 789, 1131, 581, 899, 269, 12846, 267, 1577, 781, 2285, 621, 513, 2119, 256, 1403, 606, 9813, 5198, 941, 9683, 3047, 14182, 267, 789, 1522, 723, 12058, 11295, 8335, 982, 23600, 267, 3056, 547, 2189, 2081, 540, 4393, 1344, 269, 12344, 789, 5968, 998, 4778, 267, 4992, 267, 24462, 267, 610, 1945, 3116, 7357, 4652, 987, 558, 762, 547, 721, 269, 9320, 789, 13498, 942, 8335, 1932, 910, 7680, 1142, 4090, 8195, 3079, 540, 18615, 569, 780, 4913, 267, 5103, 1761, 3604, 267, 972, 1223, 849, 581, 1455, 2666, 1063, 1480, 543, 9813, 4987, 269, 2991, 782, 267, 1966, 9010, 267, 1565, 267, 543, 15268, 616, 1898, 1983, 585, 6668, 2066, 1585, 5054, 269, 1924, 945, 6487, 286, 1284, 1522, 1265, 3838, 4690, 610, 12348, 609, 17184, 12543, 2439, 4089, 476, 274, 281, 4208, 9701, 1284, 5516, 6168, 1325, 16772, 888, 1320, 9722, 827, 31373, 14111, 1272, 7512, 7279, 543, 3408, 269, 898, 2591, 721, 547, 1832, 15819, 543, 12423, 1007, 1919, 827, 6000, 543, 519, 7122, 269, 1635, 6236, 3309, 5380, 267, 649, 10802, 938, 1378, 1620, 543, 3895, 6568, 2509, 1866, 267, 7488, 540, 1141, 789, 2097, 689, 780, 11101, 267, 4974, 519, 7872, 540, 1272, 11992, 2337, 721, 5660, 519, 22464, 540, 3047, 543, 922, 11317, 1732, 269, 901, 4656, 10114, 999, 2463, 585, 2470, 543, 26182, 3646, 547, 8190, 938, 4541, 585, 2104, 5481, 780, 6962, 912, 7212, 649, 4867, 3668, 17046, 6169, 540, 31373, 14111, 1272, 267, 31935, 2009, 7653, 31168, 5876, 267, 11942, 2565, 3206, 267, 543, 2620, 839, 938, 7071, 585, 519, 13655, 540, 519, 26355, 269, 1306, 2029, 8441, 543, 938, 1702, 21040, 267, 5310, 835, 1554, 649, 786, 7237, 1483, 3734, 661, 11053, 9538, 338, 269, 19402, 1287, 267, 1577, 707, 2247, 32603, 1851, 519, 6801, 267, 3695, 519, 11995, 7399, 540, 1018, 6013, 3564, 938, 1158, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 22209, 787, 8242, 476, 277, 5988, 476, 1708, 274, 269, 22105, 3022, 281, 27484, 563, 1607, 568, 519, 2165, 267, 538, 1312, 521, 325, 543, 2442, 2528, 267, 1031, 547, 5815, 2366, 1304, 31373, 14111, 7919, 1107, 7068, 689, 824, 10600, 1439, 15735, 609, 2601, 267, 9637, 267, 2219, 267, 11106, 630, 1492, 2474, 585, 543, 1523, 687, 540, 713, 4105, 855, 31868, 2044, 2298, 4268, 1040, 1325, 16772, 949, 723, 8186, 10169, 1447, 5827, 982, 23600, 267, 540, 13380, 4390, 267, 540, 3152, 630, 16838, 27723, 3152, 264, 1379, 267, 610, 8186, 865, 1114, 602, 6476, 3587, 7543, 269, 1358, 949, 2408, 607, 28164, 630, 5408, 12833, 5235, 264, 610, 3610, 267, 607, 16167, 610, 14763, 267, 607, 9601, 540, 1480, 14226, 610, 16488, 540, 1480, 10340, 267, 607, 10555, 27587, 13057, 1480, 1686, 630, 5408, 772, 680, 3424, 1070, 610, 607, 19039, 569, 967, 27075, 4229, 9878, 1100, 3007, 547, 8103, 693, 782, 269, 1325, 16772, 949, 1413, 899, 721, 267, 18613, 630, 3467, 610, 1447, 264, 1022, 1297, 540, 3047, 569, 2249, 267, 610, 1491, 593, 5546, 649, 723, 2760, 2938, 610, 16545, 267, 3029, 865, 9490, 649, 3006, 3111, 547, 5431, 873, 630, 663, 789, 721, 264, 607, 8284, 7919, 693, 782, 563, 4407, 519, 11566, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 6153, 26291, 267, 5843, 325, 12099, 267, 543, 11038, 29621, 692, 296, 269, 4985, 692, 1103, 2221, 781, 10562, 2518, 4346, 267, 519, 1909, 540, 1434, 10350, 538, 5009, 29370, 12099, 543, 2883, 10014, 814, 6591, 1713, 2956, 269, 1306, 2477, 11441, 585, 2804, 6617, 543, 4264, 2208, 267, 621, 3587, 5051, 2312, 602, 2500, 3609, 6388, 4249, 513, 2629, 1909, 538, 10970, 11868, 6710, 543, 4227, 8635, 269, 901, 1576, 1770, 12538, 883, 519, 2078, 1063, 1434, 10350, 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, 3652, 267, 2870, 513, 1377, 4730, 2361, 585, 3025, 3238, 269, 3807, 899, 538, 938, 15146, 3014, 267, 855, 713, 942, 1472, 267, 649, 1616, 547, 1832, 519, 3312, 5048, 16856, 2429, 519, 3003, 1184, 780, 3383, 267, 1247, 18228, 8804, 1522, 3280, 7294, 693, 1101, 16145, 267, 1620, 2035, 899, 3028, 540, 1184, 1369, 1546, 22380, 1949, 2965, 2337, 721, 1294, 875, 2029, 666, 20928, 1950, 5773, 543, 1711, 513, 811, 3608, 1158, 1107, 2523, 950, 621, 2501, 547, 3656, 6927, 269, 1656, 3884, 1405, 602, 7168, 3579, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5719, 25218, 1242, 16010, 12462, 5719, 22380, 14615, 814, 6738, 538, 8560, 1813, 547, 922, 9153, 602, 621, 786, 267, 607, 922, 2012, 5267, 267, 771, 514, 23059, 2757, 8804, 3889, 269, 11192, 10025, 700, 18088, 267, 799, 4564, 782, 12074, 538, 1585, 1546, 22380, 5867, 267, 8057, 689, 1269, 272, 5479, 538, 4873, 476, 1708, 271, 547, 513, 8445, 540, 3592, 1269, 1220, 5479, 538, 5437, 476, 1708, 272, 269, 1306, 540, 4989, 476, 1708, 274, 267, 3592, 1269, 7918, 5479, 568, 1869, 20024, 538, 1546, 22380, 5867, 563, 4407, 21438, 8804, 2934, 11051, 899, 519, 8549, 15944, 267, 8492, 267, 543, 11033, 21932, 267, 1546, 22380, 11394, 547, 5372, 782, 10827, 2456, 609, 3009, 267, 1634, 607, 968, 8243, 691, 11731, 1848, 12829, 11731, 616, 3274, 3292, 6740, 593, 513, 9893, 602, 2196, 950, 24441, 2175, 616, 1558, 543, 3755, 2170, 609, 873, 269, 1546, 22380, 5867, 616, 2356, 513, 4015, 540, 5100, 11731, 602, 2709, 513, 3099, 540, 2533, 3335, 1459, 538, 519, 2757, 2883, 5117, 267, 899, 23831, 543, 24228, 269, 25635, 919, 540, 1546, 22380, 3494, 602, 519, 10682, 540, 10827, 2456, 786, 2333, 4398, 543, 2569, 3790, 267, 1651, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 16291, 540, 6713, 257, 607, 851, 540, 834, 30311, 1315, 7040, 16390, 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, 2372, 20535, 538, 19565, 11470, 281, 1323, 22410, 540, 674, 269, 8845, 32684, 781, 16721, 4149, 1041, 23549, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1523, 540, 1391, 532, 538, 11174, 5708, 676, 6313, 519, 2038, 1568, 540, 674, 269, 8845, 32684, 1336, 538, 519, 21517, 540, 634, 23134, 2160, 7732, 269, 13018, 267, 649, 786, 1445, 593, 519, 1079, 16150, 9248, 5627, 32684, 781, 1164, 1153, 543, 2852, 12326, 267, 27195, 7574, 18792, 18405, 543, 1570, 9102, 538, 634, 23134, 26286, 269, 3414, 2673, 2542, 543, 2079, 540, 891, 5931, 267, 649, 786, 2263, 875, 4798, 540, 1391, 532, 2408, 538, 11174, 3332, 543, 2015, 741, 10083, 547, 4207, 2486, 780, 296, 269, 4197, 2372, 20535, 538, 19565, 11470, 692, 5226, 20535, 4016, 547, 519, 5339, 3926, 1141, 3197, 7832, 593, 513, 3460, 610, 5692, 547, 3035, 513, 1808, 3804, 269, 898, 1419, 3322, 6849, 2591, 543, 9465, 2059, 519, 1259, 267, 4152, 519, 16502, 781, 4222, 267, 8990, 267, 543, 1915, 1646, 269, 769, 11174, 5708, 267, 1391, 6386, 666, 4196, 607, 3532, 2645, 585, 3450, 1271, 1272, 4245, 543, 5807, 2565, 3206, 1983, 780, 2862, 269, 674, 269, 8845, 32684, 781, 16721, 4149, 1041, 23549, 281, 589, 8865, 5530, 692, 293, 6308, 23878, 781, 9998, 3370, 1568, 2709, 3407, 4030, 883, 519, 14908, 540, 1391, 532, 538, 11174, 5708, 269, 1635, 7421, 519, 2110, 2984, 543, 4930, 646, 5206, 585, 1010, 1153, 17476, 267, 649, 666, 2697, 1455, 2609, 540, 1391, 6386, 971, 607, 1384, 288, 269, 20223, 519, 20638, 281, 1548, 4665, 919, 519, 16502, 547, 7832, 593, 519, 1391, 286, 1215, 1281, 519, 6662, 3337, 519, 1650, 1467, 888, 289, 269, 28304, 26861, 8163, 281, 1548, 7496, 1590, 519, 16502, 7753, 547, 3035, 741, 3804, 286, 1215, 798, 789, 6330, 891, 2591, 888, 290, 269, 10886, 4886, 281, 1215, 1281, 519, 16502, 1332, 2429, 519, 1391, 286, 1548, 4835, 9620, 798, 789, 3068, 888, 291, 269, 22375, 281, 1215, 1281, 519, 1391, 9959, 286, 6496, 519, 16502, 3035, 741, 6662, 286, 1403, 865, 267, 1018, 1764, 1281, 713, 723, 593, 873, 2496, 7656, 269, 12634, 25684, 543, 10241, 692, 4407, 32684, 781, 2038, 1568, 941, 2854, 5176, 513, 2540, 3516, 267, 519, 4798, 540, 1391, 532, 2611, 4143, 2221, 269, 7073, 4589, 3136, 547, 946, 1391, 6386, 547, 4497, 1762, 3988, 543, 4001, 1271, 1272, 4245, 269, 1280, 1383, 267, 2442, 1453, 781, 2835, 899, 834, 295, 14019, 25260, 257, 3126, 543, 834, 763, 12017, 518, 10632, 257, 959, 559, 9609, 4183, 23233, 593, 12473, 15322, 4904, 609, 7045, 267, 4161, 267, 543, 1582, 22523, 780, 11101, 267, 1382, 5267, 602, 4598, 547, 1391, 6386, 666, 6536, 5042, 543, 3929, 2208, 538, 1762, 3988, 269, 4340, 547, 513, 1353, 5342, 676, 519, 1977, 16723, 5948, 267, 1453, 945, 1224, 827, 3197, 2502, 538, 4101, 4247, 1397, 2799, 1966, 9010, 5759, 543, 6043, 630, 294, 3578, 4471, 1696, 620, 1421, 476, 1001, 273, 1040, 5015, 267, 7680, 18755, 926, 3585, 519, 29217, 543, 14286, 540, 14070, 12325, 2337, 1762, 1004, 1628, 6568, 543, 1514, 4656, 630, 297, 28427, 1696, 620, 1421, 476, 1001, 275, 6393, 4353, 269, 10390, 692, 7437, 3695, 32684, 781, 2038, 1568, 267, 649, 2744, 5813, 883, 519, 1379, 540, 1391, 532, 538, 11174, 5708, 269, 1306, 938, 1158, 3587, 5051, 1950, 267, 20392, 1762, 3988, 547, 2984, 540, 16177, 543, 2123, 2208, 3788, 4105, 269, 1635, 8716, 1053, 547, 9691, 5659, 543, 2992, 2390, 891, 6386, 267, 7855, 666, 16491, 873, 609, 1898, 1983, 2877, 585, 1967, 538, 519, 8938, 23867, 2540, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 16449, 634, 674, 269, 8845, 32684, 14430, 538, 519, 4972, 540, 27824, 7734, 543, 7981, 26888, 693, 634, 23134, 2160, 7732, 972, 616, 1079, 1507, 2699, 27995, 16150, 9248, 269, 634, 835, 13886, 968, 8448, 19928, 1903, 540, 8845, 32684, 547, 3427, 543, 5441, 7395, 16383, 476, 5002, 280, 268, 4489, 280, 892, 3568, 17229, 19298, 540, 782, 519, 2278, 779, 3341, 17469, 12326, 269, 901, 543, 519, 824, 267, 799, 568, 13886, 968, 26452, 19928, 1903, 540, 8845, 32684, 1677, 519, 715, 817, 879, 16520, 18225, 540, 23134, 476, 4489, 276, 268, 4489, 278, 2223, 2270, 17229, 19298, 540, 782, 1010, 2852, 12326, 4849, 7574, 18792, 18405, 543, 1570, 9102, 538, 634, 23134, 26286, 269, 6987, 2400, 7634, 814, 8959, 547, 10625, 513, 2196, 540, 519, 1715, 2006, 3427, 5240, 1282, 476, 4489, 273, 268, 4489, 274, 267, 855, 2094, 519, 853, 269, 6754, 9142, 779, 7745, 2196, 540, 519, 3767, 543, 3973, 1282, 476, 5002, 280, 268, 4489, 272, 543, 23134, 2160, 779, 2347, 2196, 540, 634, 715, 817, 879, 16520, 18225, 1282, 476, 4489, 274, 268, 4489, 278, 1331, 1100, 3606, 2984, 267, 621, 568, 10924, 602, 32684, 267, 945, 729, 2141, 513, 1390, 1094, 591, 267, 1705, 711, 15476, 1022, 2984, 693, 1715, 2006, 555, 320, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 11059, 1299, 23874, 1315, 4937, 1315, 2372, 3949, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 476, 1109, 273, 343, 1109, 1296, 2025, 563, 1015, 1296, 3516, 25599, 729, 1109, 630, 343, 910, 476, 1015, 264, 1109, 1296, 2025, 543, 25272, 729, 1109, 630, 273, 343, 910, 476, 1015, 264, 1109, 1296, 2025, 563, 3287, 910, 476, 1015, 264, 1341, 630, 273, 343, 910, 476, 1015, 264, 815, 476, 2412, 454, 274, 343, 910, 476, 736, 815, 476, 2412, 454, 274, 343, 815, 476, 2568, 454, 343, 815, 476, 736, 454, 305, 1157, 568, 476, 736, 1109, 1296, 2025, 543, 25272, 568, 476, 2412, 780, 4131, 1535, 581, 25599, 781, 2085, 543, 586, 581, 25272, 781, 2085, 269, 3973, 649, 917, 602, 692, 272, 264, 476, 1109, 291, 1511, 568, 7466, 25599, 781, 2085, 267, 1775, 4318, 1421, 586, 815, 273, 343, 692, 273, 264, 476, 1015, 1296, 3516, 267, 586, 268, 1015, 543, 1535, 268, 1015, 267, 941, 971, 602, 630, 344, 268, 1015, 11924, 263, 343, 268, 1015, 264, 815, 2412, 610, 267, 476, 1109, 343, 20742, 268, 736, 815, 476, 2412, 1775, 4318, 269, 476, 1109, 343, 20742, 284, 2568, 692, 13295, 596, 723, 1079, 26968, 985, 267, 1535, 543, 586, 267, 543, 1079, 4834, 1384, 344, 815, 476, 273, 343, 692, 343, 20742, 284, 2568, 780, 3725, 2897, 586, 676, 476, 273, 343, 538, 519, 2034, 3830, 269, 901, 3947, 476, 1109, 343, 266, 273, 343, 815, 476, 2568, 610, 476, 274, 343, 284, 2568, 865, 1535, 815, 736, 780, 7661, 586, 284, 273, 343, 815, 476, 2412, 780, 3383, 267, 25272, 568, 1631, 476, 2412, 543, 25599, 568, 476, 736, 269, 0, 289, 2393, 14259, 6137, 630, 560, 520, 2524, 2020, 263, 16446, 20526, 689, 645, 2393, 560, 1905, 630, 560, 520, 2524, 4917, 32417, 14778, 5833, 689, 17363, 1715, 18474, 3432, 540, 1769, 10471, 5833, 998, 18849, 14259, 6137, 281, 519, 3803, 1267, 15320, 1063, 519, 3044, 11539, 543, 519, 11667, 6207, 11539, 630, 18485, 3800, 540, 24980, 264, 14778, 780, 1103, 7194, 267, 18849, 14259, 6137, 666, 3277, 547, 1022, 1449, 610, 11973, 602, 12346, 593, 4351, 10386, 609, 10682, 269, 645, 2393, 14259, 6137, 2636, 26471, 3800, 540, 6111, 630, 3698, 1441, 538, 2474, 540, 9186, 267, 13065, 267, 6015, 11996, 267, 12605, 5470, 610, 930, 824, 971, 2268, 264, 547, 3732, 9193, 16804, 272, 6012, 273, 316, 901, 4480, 2636, 16759, 540, 519, 10386, 3892, 540, 3592, 1022, 18802, 1210, 4351, 10386, 2409, 16804, 274, 6012, 275, 316, 13575, 267, 621, 8813, 538, 519, 6626, 1362, 540, 759, 600, 7204, 2409, 780, 289, 2393, 14259, 6137, 568, 519, 2259, 540, 21501, 3601, 540, 606, 3934, 1807, 630, 7945, 607, 922, 13065, 264, 676, 7893, 1346, 3601, 950, 10386, 689, 606, 4114, 26305, 3892, 269, 2290, 3044, 3903, 585, 606, 4114, 26305, 3892, 568, 519, 12170, 3892, 1599, 540, 519, 4767, 1239, 269, 769, 519, 2013, 1141, 513, 1305, 540, 7422, 666, 581, 10924, 547, 581, 689, 606, 4830, 543, 1541, 1227, 7856, 2551, 267, 713, 666, 581, 8045, 676, 14335, 513, 1297, 540, 759, 3263, 609, 10682, 267, 540, 519, 4767, 10471, 630, 663, 540, 3160, 2450, 547, 519, 4767, 10471, 6393, 2005, 949, 849, 581, 1031, 585, 14335, 8367, 4255, 269, 898, 568, 1419, 1031, 607, 606, 4244, 547, 8579, 23221, 1759, 593, 519, 13429, 540, 513, 4164, 13011, 2203, 950, 602, 13429, 568, 538, 8969, 267, 610, 1141, 4164, 13011, 23221, 568, 7543, 610, 3340, 7294, 12596, 585, 519, 9819, 540, 3044, 6959, 780, 14532, 692, 763, 18849, 560, 1905, 729, 3370, 676, 17659, 2917, 661, 325, 1258, 538, 834, 289, 2393, 560, 1905, 2409, 281, 1776, 1413, 693, 519, 13544, 30893, 1057, 257, 630, 3192, 280, 1040, 314, 276, 6012, 277, 6012, 278, 316, 898, 729, 6273, 676, 4505, 960, 593, 519, 13544, 30893, 1057, 16804, 279, 6012, 280, 6012, 1015, 316, 20865, 9193, 540, 519, 13065, 941, 2919, 2663, 16804, 1556, 6012, 1321, 316, 589, 28662, 10137, 729, 2919, 538, 476, 2735, 272, 16804, 1724, 316, 634, 9186, 2275, 8091, 539, 543, 18965, 630, 6195, 320, 264, 18849, 560, 1905, 729, 2919, 676, 661, 325, 1258, 538, 476, 2735, 278, 267, 314, 1691, 316, 543, 519, 13235, 5650, 538, 476, 1960, 273, 16804, 1428, 6540, 7343, 25209, 692, 763, 2596, 2856, 540, 18849, 14259, 6137, 568, 602, 23221, 827, 513, 2551, 689, 3732, 1239, 630, 338, 2217, 9890, 2551, 264, 666, 581, 24018, 676, 759, 600, 7204, 519, 3732, 1239, 543, 7900, 23221, 593, 630, 637, 2217, 9890, 3732, 1040, 1306, 519, 2551, 568, 7164, 267, 519, 3020, 5470, 538, 513, 3732, 18802, 1996, 922, 2551, 1871, 568, 26968, 762, 269, 769, 18849, 560, 1905, 9113, 3263, 267, 519, 1412, 28134, 262, 568, 538, 1249, 519, 3732, 267, 543, 713, 568, 1634, 282, 8754, 519, 2298, 540, 23221, 689, 759, 2217, 1239, 9890, 1412, 25152, 262, 3732, 568, 22905, 780, 5415, 18005, 267, 519, 18849, 560, 1905, 1568, 676, 8156, 23221, 540, 519, 3020, 5506, 3892, 808, 267, 2016, 519, 3312, 1239, 267, 607, 1373, 26922, 547, 23221, 540, 519, 12170, 3892, 540, 17487, 368, 267, 2016, 519, 759, 600, 9482, 1239, 269, 634, 6111, 540, 31921, 3823, 17487, 368, 1210, 519, 759, 600, 9482, 1239, 666, 581, 12290, 1317, 649, 917, 17487, 368, 269, 1403, 17487, 368, 568, 513, 10257, 19406, 547, 808, 267, 1287, 519, 2298, 540, 23221, 593, 808, 666, 538, 2490, 581, 18505, 1042, 780, 2026, 606, 1383, 267, 8263, 649, 616, 5461, 538, 519, 3328, 630, 528, 1611, 264, 4463, 540, 1004, 5001, 269, 1284, 3112, 2268, 782, 519, 1004, 538, 519, 2518, 2551, 267, 865, 3079, 649, 3732, 1152, 513, 6263, 851, 540, 621, 267, 543, 2268, 602, 269, 27539, 519, 3732, 568, 540, 2450, 715, 282, 602, 568, 267, 649, 2268, 519, 15627, 540, 715, 2043, 269, 3245, 602, 2582, 3732, 267, 1152, 835, 7447, 540, 519, 1611, 666, 581, 5833, 269, 769, 1931, 547, 2601, 827, 519, 2551, 267, 649, 991, 930, 2631, 540, 519, 13260, 540, 519, 1611, 602, 649, 723, 17223, 780, 763, 14724, 18849, 560, 1905, 1505, 3322, 2921, 519, 3312, 1239, 1305, 540, 715, 15627, 267, 543, 267, 1210, 513, 2780, 267, 10386, 689, 621, 547, 1106, 513, 1007, 3732, 630, 21406, 513, 1412, 637, 2217, 262, 610, 18849, 560, 1905, 3732, 264, 602, 568, 849, 540, 2450, 715, 269, 634, 18849, 560, 1905, 3732, 568, 3144, 689, 519, 3312, 1210, 10386, 609, 10682, 865, 267, 14322, 715, 568, 18481, 1804, 267, 585, 782, 4052, 5301, 972, 568, 12303, 4642, 5506, 602, 621, 786, 581, 9838, 547, 519, 3312, 834, 9418, 257, 3732, 269, 901, 1184, 568, 7368, 513, 1804, 1297, 540, 2053, 630, 20200, 1227, 476, 272, 267, 1822, 610, 476, 1015, 267, 1822, 2053, 1070, 543, 585, 1142, 540, 891, 18849, 560, 1905, 5439, 649, 12337, 922, 1611, 630, 26421, 540, 891, 616, 1572, 18849, 560, 1905, 9193, 1040, 1284, 1631, 723, 513, 27008, 540, 18849, 560, 1905, 1797, 269, 901, 2488, 606, 7447, 540, 519, 3337, 540, 519, 3892, 540, 519, 1611, 689, 799, 649, 666, 2626, 2055, 827, 875, 1454, 519, 1611, 9775, 269, 630, 763, 1505, 1934, 267, 4330, 585, 519, 1611, 267, 666, 581, 4294, 547, 3592, 1022, 824, 18802, 610, 3934, 1807, 24355, 306, 15856, 725, 1141, 18849, 14259, 6137, 568, 3730, 692, 3849, 11726, 337, 1696, 620, 16804, 1626, 316, 4363, 519, 18849, 560, 1905, 5650, 585, 519, 1739, 3871, 1384, 1892, 1879, 519, 7811, 3892, 540, 513, 18802, 540, 1719, 568, 7294, 610, 7164, 269, 4595, 519, 18849, 14259, 6137, 5650, 568, 3892, 23949, 8817, 621, 2488, 606, 9940, 1505, 547, 2708, 519, 3601, 540, 519, 3892, 5817, 519, 3732, 543, 519, 6724, 540, 1719, 602, 616, 6508, 689, 713, 3892, 563, 1892, 1879, 519, 3732, 2450, 568, 13385, 585, 3551, 8579, 23221, 269, 1403, 519, 5817, 3892, 568, 1134, 8153, 267, 18849, 14259, 6137, 2488, 513, 1259, 547, 2272, 585, 519, 1253, 25344, 3361, 676, 519, 1808, 3732, 602, 949, 711, 581, 4628, 11347, 540, 519, 2551, 563, 1892, 1879, 1379, 9273, 723, 547, 581, 5340, 267, 543, 513, 1507, 12681, 3732, 568, 2139, 269, 4107, 1379, 543, 3732, 2450, 9273, 616, 8185, 8200, 593, 519, 3044, 11539, 540, 519, 18802, 540, 1719, 269, 1403, 519, 7447, 1031, 568, 11234, 267, 519, 2838, 3732, 2450, 786, 849, 581, 4636, 269, 2290, 1505, 547, 1205, 606, 12705, 540, 519, 8390, 540, 519, 18802, 568, 547, 946, 513, 1507, 12681, 3732, 543, 1685, 18849, 14259, 6137, 593, 621, 547, 1205, 12705, 540, 519, 13065, 780, 30206, 692, 288, 1390, 5413, 540, 18849, 560, 1905, 568, 922, 16134, 269, 898, 568, 513, 3551, 1259, 547, 17589, 9193, 540, 3044, 6959, 543, 6015, 11996, 585, 1950, 3934, 2209, 540, 1950, 6724, 540, 519, 3892, 267, 971, 607, 30878, 2798, 267, 17114, 267, 12918, 5223, 267, 543, 9756, 14170, 269, 645, 2393, 560, 1905, 568, 849, 606, 3617, 1259, 547, 1852, 543, 2638, 519, 6617, 540, 519, 2164, 269, 4014, 585, 1034, 2042, 621, 568, 7543, 547, 917, 519, 3020, 6015, 8884, 267, 18849, 560, 1905, 568, 29297, 582, 1227, 811, 4977, 982, 519, 3044, 11996, 5833, 1210, 3732, 13065, 543, 10054, 540, 2343, 1275, 16804, 1704, 6540, 7212, 18849, 14259, 6137, 568, 630, 8974, 930, 2175, 264, 29297, 582, 1227, 5812, 267, 621, 1281, 711, 1683, 2489, 13113, 1606, 2217, 18715, 269, 634, 7805, 16134, 949, 10703, 531, 519, 1249, 602, 1271, 10054, 616, 1373, 1500, 950, 23072, 519, 18849, 560, 1905, 2079, 630, 324, 3052, 269, 7115, 540, 5439, 264, 1141, 891, 1131, 581, 811, 18005, 7150, 538, 824, 4485, 780, 27775, 754, 725, 692, 763, 1297, 540, 18849, 560, 1905, 5439, 5227, 538, 3332, 814, 2799, 607, 2139, 7384, 1379, 814, 2799, 269, 1403, 519, 2164, 949, 723, 8101, 1483, 8996, 4539, 267, 1287, 835, 1058, 946, 607, 1082, 5439, 607, 568, 10257, 267, 2016, 2139, 7384, 1379, 543, 942, 269, 23207, 519, 1297, 540, 5439, 3112, 2333, 519, 2179, 540, 1344, 538, 519, 3312, 1239, 267, 621, 666, 1152, 2569, 519, 2360, 540, 4351, 10386, 6959, 799, 666, 8451, 689, 513, 18849, 560, 1905, 5650, 3294, 780, 15650, 540, 18849, 560, 1905, 10325, 692, 1103, 796, 21725, 2042, 267, 621, 568, 2356, 11807, 547, 759, 2217, 519, 1367, 7422, 609, 10682, 9497, 13826, 759, 600, 7204, 257, 2630, 1040, 769, 1507, 5439, 267, 513, 4164, 13011, 18849, 560, 1905, 1935, 1522, 581, 9053, 269, 1280, 824, 2042, 267, 513, 5347, 18849, 560, 1905, 786, 2693, 581, 9053, 780, 2690, 9695, 2042, 267, 1585, 824, 8925, 616, 2139, 16804, 1240, 6540, 19111, 759, 600, 7204, 692, 289, 2393, 560, 1905, 568, 3622, 3730, 585, 21501, 519, 3892, 540, 513, 18802, 630, 324, 3052, 269, 1611, 267, 13065, 264, 1510, 1210, 3339, 3069, 630, 324, 3052, 269, 1990, 3613, 520, 2065, 267, 512, 3613, 520, 2065, 1040, 645, 2393, 560, 1905, 2501, 538, 13561, 950, 972, 568, 1100, 10763, 1106, 610, 3339, 3069, 547, 948, 7447, 519, 3892, 540, 519, 7194, 540, 1719, 267, 2094, 18849, 560, 1905, 1505, 666, 4019, 547, 1034, 4351, 9424, 267, 552, 3052, 1421, 519, 5223, 540, 13065, 543, 1611, 269, 1703, 616, 693, 2547, 1079, 2081, 540, 7900, 2013, 759, 600, 7204, 780, 272, 269, 634, 22757, 30408, 5690, 585, 2013, 759, 600, 7204, 568, 3833, 2241, 269, 3689, 267, 649, 759, 2217, 519, 1239, 609, 10682, 267, 543, 519, 2450, 540, 519, 759, 2217, 1590, 581, 3160, 547, 519, 2450, 540, 519, 3312, 1239, 1305, 269, 3973, 519, 18802, 540, 1719, 568, 17223, 689, 519, 759, 2217, 689, 519, 1101, 1900, 269, 1284, 10956, 713, 6296, 1082, 2053, 547, 1205, 513, 811, 5730, 7447, 540, 519, 645, 2393, 560, 1905, 3892, 540, 519, 18802, 563, 273, 269, 634, 1412, 1410, 716, 262, 4528, 585, 2013, 759, 600, 7204, 568, 2147, 267, 855, 649, 9688, 1947, 26246, 1169, 2009, 759, 2217, 540, 519, 1239, 1305, 269, 901, 666, 581, 1939, 14260, 7199, 607, 972, 616, 513, 2698, 540, 4399, 16535, 558, 2715, 273, 333, 268, 272, 348, 333, 259, 1114, 759, 3263, 267, 1141, 562, 568, 519, 2450, 540, 519, 1239, 1305, 780, 15307, 26305, 519, 3892, 540, 3732, 1611, 692, 13706, 513, 11777, 22286, 6235, 4603, 269, 1284, 16212, 519, 11777, 543, 2594, 2436, 621, 3338, 9843, 610, 21217, 269, 630, 10112, 2541, 585, 16134, 602, 972, 616, 1152, 1079, 4093, 264, 2913, 2473, 815, 1535, 272, 267, 1535, 273, 267, 2560, 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 ]
[ 1210, 519, 9061, 8605, 16296, 267, 799, 2829, 602, 519, 3444, 2472, 540, 513, 8167, 616, 3160, 269, 3367, 811, 1862, 328, 17582, 19298, 2433, 275, 19138, 20929, 2433, 272, 454, 16987, 14939, 17438, 10403, 16987, 14939, 5506, 568, 519, 5506, 602, 513, 1978, 6364, 786, 2049, 1759, 593, 606, 4603, 1373, 5340, 2789, 2053, 269, 17438, 2262, 2042, 3211, 269, 3367, 811, 1862, 328, 17582, 19298, 2433, 274, 19138, 20929, 2433, 272, 454, 31628, 3749, 5506, 543, 10203, 23536, 1464, 2262, 2042, 3211, 269, 11933, 3749, 5506, 568, 519, 5506, 602, 513, 1978, 6364, 786, 2049, 1759, 593, 782, 519, 2009, 4093, 269, 6884, 267, 519, 1297, 540, 2081, 602, 606, 2680, 666, 4755, 5673, 593, 519, 1931, 269, 589, 32089, 568, 606, 11460, 540, 3615, 538, 799, 1931, 6927, 269, 589, 4999, 568, 513, 1305, 540, 3615, 538, 799, 1931, 1281, 711, 2339, 269, 17438, 568, 849, 1759, 593, 2436, 2621, 616, 8200, 610, 4830, 540, 1142, 824, 269, 3367, 811, 1862, 328, 17582, 19298, 2433, 274, 19138, 20929, 2433, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 680, 1116, 3987, 2433, 1022, 540, 9867, 12150, 6381, 27537, 3842, 519, 21131, 543, 608, 17917, 540, 9402, 9424, 540, 10729, 282, 13018, 2433, 3987, 22577, 454, 281, 513, 17966, 618, 538, 799, 1932, 2370, 610, 1100, 7378, 568, 3812, 610, 7378, 568, 2813, 855, 666, 711, 581, 8246, 7363, 4929, 1164, 5666, 540, 4006, 689, 519, 1973, 12333, 2564, 9218, 454, 763, 3173, 20114, 799, 519, 536, 690, 639, 1919, 11479, 519, 2186, 540, 7280, 22166, 602, 949, 1267, 538, 3987, 538, 1480, 563, 29587, 2068, 543, 8482, 269, 15706, 945, 723, 3987, 616, 693, 1732, 8594, 585, 9025, 2068, 543, 8482, 269, 634, 8594, 568, 1256, 2362, 585, 15706, 945, 723, 3987, 543, 8673, 267, 723, 1713, 13119, 267, 723, 513, 1920, 6561, 540, 2295, 2042, 267, 610, 616, 14968, 269, 31292, 2068, 568, 1655, 547, 1491, 1416, 540, 950, 621, 666, 581, 9575, 2038, 563, 1103, 2013, 596, 723, 4990, 476, 273, 3987, 267, 707, 1560, 786, 711, 1118, 610, 946, 7378, 23182, 269, 1411, 3513, 581, 2111, 547, 3132, 3099, 476, 273, 3987, 693, 1022, 2085, 267, 1256, 538, 519, 1576, 540, 6689, 269, 11048, 267, 713, 4990, 540, 3987, 3217, 1747, 1034, 1419, 538, 1647, 27070, 543, 4587, 1004, 269, 23037, 476, 273, 568, 519, 1034, 6093, 3099, 540, 3987, 563, 11900, 6081, 568, 9250, 883, 707, 1973, 676, 12498, 2281, 630, 15512, 16052, 338, 1070, 1336, 538, 519, 568, 7410, 540, 700, 9734, 327, 753, 1247, 538, 519, 18558, 267, 538, 5114, 547, 2810, 5666, 540, 1973, 7280, 267, 2356, 4166, 1310, 4189, 269, 6184, 6081, 568, 8246, 676, 827, 1079, 22188, 540, 519, 1560, 781, 2281, 547, 10110, 7280, 609, 519, 1973, 547, 581, 1031, 607, 4492, 267, 585, 7503, 547, 824, 2838, 6675, 267, 610, 585, 4859, 563, 763, 29449, 814, 711, 9138, 513, 2022, 720, 1935, 547, 3013, 269, 28423, 547, 519, 29449, 268, 10741, 538, 513, 1007, 811, 9623, 6885, 610, 9184, 543, 7662, 2022, 720, 547, 707, 4087, 563, 763, 5817, 2601, 585, 3987, 15320, 676, 1106, 269, 1809, 267, 7488, 540, 519, 4990, 540, 3987, 596, 4312, 3893, 267, 621, 666, 1291, 547, 3063, 4006, 607, 851, 540, 707, 1973, 269, 1323, 7050, 2179, 4006, 538, 707, 1973, 949, 1224, 811, 1291, 547, 2101, 1072, 2042, 563, 292, 329, 659, 1637, 1223, 581, 519, 30275, 532, 540, 5033, 523, 689, 707, 4050, 529, 267, 543, 568, 4749, 10483, 676, 610, 326, 11047, 269, 589, 3126, 811, 9623, 540, 16757, 27373, 2488, 5033, 523, 267, 1500, 909, 540, 5256, 13708, 26347, 3622, 1634, 607, 14203, 2281, 610, 521, 704, 3901, 9926, 10394, 267, 538, 519, 4050, 529, 630, 663, 538, 519, 29199, 267, 952, 585, 10285, 9837, 676, 1259, 540, 4638, 26697, 1916, 18404, 845, 514, 568, 2356, 19624, 607, 513, 1101, 1899, 2126, 1505, 585, 4990, 476, 273, 3987, 267, 607, 1703, 781, 9120, 2963, 602, 621, 11081, 9019, 16804, 27917, 316, 898, 2731, 1568, 676, 4227, 519, 6797, 781, 2504, 540, 7280, 269, 26597, 824, 2516, 540, 6646, 267, 5631, 6035, 676, 5023, 267, 666, 849, 6175, 1973, 4006, 538, 1826, 4083, 20336, 563, 13480, 719, 849, 568, 9120, 593, 707, 2295, 267, 707, 8501, 2157, 267, 707, 13119, 267, 607, 1134, 607, 707, 4430, 2597, 269, 1358, 2811, 782, 3334, 602, 666, 723, 606, 1198, 593, 707, 4960, 540, 18337, 2295, 4323, 543, 8482, 269, 13185, 547, 707, 4387, 827, 4358, 909, 606, 960, 856, 3301, 563, 30048, 666, 2042, 713, 6213, 19003, 1982, 269, 31056, 10413, 949, 1291, 547, 8459, 5821, 610, 26464, 2673, 25686, 8459, 19210, 267, 799, 949, 991, 31533, 610, 6148, 513, 8459, 13003, 563, 4415, 2511, 1079, 3987, 267, 519, 811, 7839, 4990, 267, 2290, 781, 1560, 1281, 711, 1118, 610, 946, 7378, 5265, 269, 9453, 7899, 540, 7378, 267, 519, 7280, 13978, 1369, 707, 1973, 269, 1411, 949, 849, 723, 2392, 328, 3449, 269, 901, 1797, 4050, 1177, 541, 546, 23022, 512, 532, 22080, 602, 707, 1973, 4006, 568, 8273, 982, 3044, 4352, 711, 1804, 6190, 547, 3622, 581, 1634, 607, 3987, 269, 5136, 8877, 2392, 328, 3449, 12662, 596, 693, 606, 2799, 3463, 540, 3478, 3099, 476, 273, 3987, 563, 10144, 945, 723, 3099, 1079, 3987, 849, 1522, 6542, 23053, 540, 7378, 4187, 269, 901, 5161, 540, 4158, 2287, 22405, 543, 2960, 1369, 519, 8405, 610, 1369, 519, 818, 5404, 1080, 267, 8101, 13119, 267, 8501, 2152, 267, 13803, 5563, 267, 543, 1236, 5792, 610, 15534, 11996, 538, 21717, 2021, 543, 6690, 269, 0, 21854, 13136, 1626, 1915, 2079, 281, 1212, 517, 267, 21258, 821, 1714, 5362, 318, 2117, 1228, 21258, 821, 676, 8683, 28965, 12262, 19347, 1433, 5758, 21258, 821, 1915, 2079, 1547, 30466, 821, 267, 519, 2063, 959, 559, 9609, 540, 8683, 28965, 855, 2854, 1101, 538, 476, 4510, 273, 536, 576, 267, 7740, 593, 519, 4655, 1063, 1212, 517, 267, 519, 9598, 1807, 540, 519, 15816, 543, 519, 2178, 786, 539, 21258, 821, 269, 476, 24699, 26392, 1691, 2079, 540, 21258, 821, 676, 8683, 28965, 949, 476, 279, 267, 476, 1001, 275, 676, 31893, 26856, 1775, 3494, 602, 621, 568, 519, 1915, 540, 4622, 1212, 517, 602, 4564, 1018, 8683, 28965, 1705, 711, 269, 30466, 821, 676, 8683, 28965, 630, 1504, 2079, 12092, 540, 8683, 28965, 6881, 540, 21258, 821, 5758, 540, 21258, 821, 1915, 1353, 21258, 821, 1212, 517, 568, 332, 2940, 688, 655, 517, 269, 5901, 2542, 585, 606, 4274, 27787, 5758, 543, 2079, 540, 21258, 821, 676, 8683, 28965, 21258, 821, 5758, 25436, 636, 4424, 267, 1212, 517, 779, 5067, 543, 21258, 821, 779, 535, 1014, 322, 2946, 563, 12901, 580, 821, 1557, 1806, 543, 4835, 9620, 540, 21258, 821, 543, 1212, 517, 538, 21258, 821, 267, 513, 1404, 676, 8683, 28965, 513, 5339, 2079, 540, 519, 13357, 21258, 821, 676, 8683, 28965, 269, 5811, 540, 8683, 28965, 685, 1212, 517, 538, 32037, 519, 4622, 519, 1915, 540, 1212, 517, 267, 519, 1212, 517, 538, 8683, 28965, 685, 21258, 821, 729, 1360, 1114, 689, 519, 1212, 517, 538, 32037, 519, 269, 476, 1911, 30663, 1240, 21258, 821, 5758, 8683, 28965, 21258, 821, 543, 1212, 517, 3976, 2099, 519, 1079, 5011, 602, 949, 581, 3144, 8683, 28965, 267, 998, 21258, 821, 607, 513, 1915, 11783, 5851, 9890, 8141, 17084, 9890, 12416, 1353, 10274, 9890, 21258, 821, 9890, 1915, 1592, 538, 3829, 2079, 540, 1212, 517, 849, 5526, 538, 8683, 28965, 262, 21258, 821, 267, 519, 28034, 568, 513, 563, 22818, 811, 982, 1022, 824, 4137, 538, 519, 32037, 959, 559, 9609, 267, 1212, 517, 267, 32037, 262, 7015, 2987, 25237, 267, 4667, 547, 581, 513, 1360, 1114, 1915, 538, 1142, 540, 519, 4249, 538, 522, 19947, 269, 476, 17734, 22213, 1704, 538, 713, 3504, 1395, 860, 826, 676, 519, 19967, 31075, 8683, 28965, 267, 1212, 517, 568, 513, 1950, 543, 3309, 1915, 538, 530, 1228, 1212, 517, 781, 1395, 860, 826, 689, 21258, 821, 269, 1323, 2079, 540, 1212, 517, 607, 513, 13249, 5869, 538, 21258, 821, 513, 1404, 676, 8683, 28965, 562, 21683, 476, 1001, 277, 554, 25352, 1644, 2022, 540, 22272, 583, 753, 1915, 17250, 1557, 31510, 1355, 7209, 269, 2422, 713, 21258, 821, 1915, 2079, 547, 5337, 924, 707, 1985, 5339, 6643, 3197, 540, 21258, 821, 1331, 1212, 517, 267, 568, 332, 2940, 267, 519, 669, 11501, 267, 543, 540, 1576, 21258, 821, 269, 30466, 821, 281, 1915, 12632, 267, 1863, 1353, 10274, 543, 1433, 4967, 1519, 3102, 3184, 2079, 267, 2347, 5758, 2079, 267, 2278, 2529, 2684, 28965, 262, 21258, 821, 281, 519, 25710, 4185, 540, 8683, 28965, 685, 6138, 568, 519, 1291, 1915, 602, 646, 2813, 267, 1212, 517, 1185, 4956, 547, 6146, 21258, 821, 676, 27575, 1200, 538, 513, 269, 3367, 713, 2376, 547, 917, 827, 519, 21258, 821, 1915, 2079, 538, 519, 13357, 21258, 821, 676, 8683, 28965, 267, 945, 568, 21258, 821, 267, 568, 21258, 821, 513, 13249, 5869, 21258, 821, 568, 513, 15962, 269, 5851, 5816, 1557, 1806, 968, 656, 580, 821, 27535, 1915, 1909, 2079, 13357, 540, 8683, 28965, 883, 5163, 5103, 1212, 517, 779, 856, 602, 621, 568, 21258, 821, 630, 2254, 1212, 517, 1070, 269, 3367, 4274, 2079, 593, 1915, 2079, 538, 21258, 821, 21258, 821, 281, 8683, 28965, 5189, 21258, 821, 607, 538, 4334, 547, 21258, 821, 267, 1212, 517, 11099, 519, 7787, 4031, 269, 30466, 821, 9087, 2812, 1212, 517, 538, 519, 1404, 21258, 821, 649, 1451, 827, 513, 29134, 1915, 3957, 1212, 517, 945, 568, 4655, 1063, 21258, 821, 543, 1212, 517, 538, 8683, 28965, 269, 769, 713, 3992, 649, 786, 2263, 4622, 1212, 517, 781, 1915, 538, 8683, 28965, 781, 1412, 656, 580, 821, 262, 649, 786, 4983, 1010, 1909, 543, 1010, 4282, 267, 3168, 693, 1212, 517, 607, 269, 6258, 875, 18008, 31075, 795, 6756, 606, 537, 559, 327, 9862, 8683, 28965, 262, 5929, 1404, 795, 6756, 606, 537, 559, 327, 781, 21258, 821, 281, 5758, 1299, 2079, 543, 1212, 517, 267, 21258, 821, 781, 11515, 543, 563, 763, 5316, 1081, 540, 1212, 517, 779, 31774, 538, 21258, 821, 630, 338, 2684, 28965, 267, 608, 617, 657, 267, 476, 16328, 268, 15946, 264, 1212, 517, 814, 4121, 1018, 519, 824, 1141, 519, 1292, 1915, 779, 12556, 1223, 269, 476, 271, 3583, 30663, 1240, 8683, 28965, 262, 9998, 540, 519, 1614, 519, 3316, 4249, 568, 13886, 519, 21258, 821, 519, 1445, 568, 593, 519, 1915, 7592, 540, 519, 1292, 1915, 540, 519, 1404, 21258, 821, 269, 476, 6344, 30663, 1240, 8683, 28965, 262, 21258, 821, 568, 519, 3803, 1404, 540, 519, 19967, 543, 4487, 2079, 540, 5339, 646, 568, 2451, 796, 10767, 1221, 676, 1212, 517, 21258, 821, 4220, 1200, 1272, 547, 2285, 269, 476, 31239, 26392, 1556, 21258, 821, 1915, 2079, 281, 4617, 7911, 602, 8806, 17329, 21258, 821, 865, 8683, 28965, 1185, 547, 2285, 646, 4422, 593, 547, 2161, 547, 1212, 517, 519, 646, 12582, 563, 12901, 580, 821, 676, 8683, 28965, 2689, 5067, 540, 1212, 517, 543, 535, 4800, 547, 21258, 821, 513, 5634, 1915, 6645, 1212, 517, 547, 1577, 21258, 821, 979, 543, 3276, 787, 1135, 2106, 545, 625, 8259, 646, 269, 8056, 2664, 2299, 4647, 519, 21258, 821, 5758, 267, 3184, 8386, 7302, 1986, 2079, 267, 1433, 4967, 267, 3594, 267, 10530, 267, 1915, 11673, 267, 3992, 4566, 267, 543, 811, 910, 3388, 596, 6185, 5877, 0, 305, 32121, 547, 14472, 26515, 454, 305, 32121, 12429, 540, 519, 678, 32121, 269, 14639, 23837, 324, 5096, 14513, 282, 855, 3794, 3089, 729, 519, 1101, 547, 6338, 519, 7574, 678, 32121, 883, 5333, 267, 538, 519, 22968, 540, 2107, 15343, 639, 563, 305, 3415, 517, 610, 27050, 542, 269, 589, 2165, 540, 733, 3319, 547, 513, 4807, 269, 898, 568, 519, 3943, 887, 326, 928, 5060, 630, 2675, 629, 2421, 267, 812, 4445, 1916, 2791, 688, 326, 267, 596, 9126, 16372, 267, 596, 15393, 13906, 267, 596, 678, 3415, 517, 256, 856, 267, 856, 256, 268, 9956, 281, 8585, 787, 654, 1161, 540, 6489, 7717, 267, 17488, 269, 476, 273, 337, 454, 319, 288, 549, 842, 26899, 267, 18338, 256, 262, 519, 678, 2794, 1922, 539, 678, 3415, 517, 1835, 625, 269, 9956, 281, 16077, 267, 1775, 269, 476, 274, 10611, 797, 28818, 630, 26780, 1040, 1924, 1572, 689, 513, 887, 617, 610, 4906, 593, 519, 9061, 5116, 972, 267, 543, 538, 4936, 7826, 2053, 4371, 538, 1390, 9006, 3130, 563, 305, 797, 2000, 21510, 630, 763, 1040, 634, 5496, 1063, 519, 562, 1511, 543, 4960, 331, 267, 1141, 519, 887, 617, 610, 16961, 32267, 729, 11506, 269, 769, 454, 16341, 2665, 267, 593, 1142, 2427, 540, 519, 16961, 32267, 941, 2901, 930, 540, 519, 27685, 1235, 610, 19980, 956, 267, 543, 2523, 454, 1492, 23920, 547, 7247, 519, 5939, 729, 6131, 563, 4517, 1287, 547, 1990, 2465, 519, 887, 617, 2000, 21510, 267, 305, 797, 1088, 5287, 966, 969, 664, 267, 610, 519, 10786, 540, 519, 3444, 563, 295, 9994, 539, 581, 23524, 267, 2357, 341, 664, 267, 607, 23524, 1332, 652, 538, 519, 2666, 10611, 809, 630, 288, 1040, 589, 31376, 269, 1677, 887, 758, 267, 547, 31376, 282, 547, 887, 758, 513, 25190, 517, 267, 547, 25176, 576, 513, 3039, 1817, 333, 269, 6884, 621, 3274, 1797, 267, 547, 3094, 689, 1776, 693, 513, 3014, 540, 4960, 610, 5578, 269, 630, 8450, 681, 809, 2044, 1547, 994, 319, 7069, 7083, 3057, 638, 529, 10086, 1767, 519, 4622, 267, 2387 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]